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- /* Copyright 2013 Google Inc. All Rights Reserved.
- Distributed under MIT license.
- See file LICENSE for detail or copy at https://opensource.org/licenses/MIT
- */
- /* Utilities for building Huffman decoding tables. */
- #include "huffman.h"
- #include <string.h> /* memcpy, memset */
- #include "../common/constants.h"
- #include "../common/platform.h"
- #include <brotli/types.h>
- #if defined(__cplusplus) || defined(c_plusplus)
- extern "C" {
- #endif
- #define BROTLI_REVERSE_BITS_MAX 8
- #if defined(BROTLI_RBIT)
- #define BROTLI_REVERSE_BITS_BASE \
- ((sizeof(brotli_reg_t) << 3) - BROTLI_REVERSE_BITS_MAX)
- #else
- #define BROTLI_REVERSE_BITS_BASE 0
- static uint8_t kReverseBits[1 << BROTLI_REVERSE_BITS_MAX] = {
- 0x00, 0x80, 0x40, 0xC0, 0x20, 0xA0, 0x60, 0xE0,
- 0x10, 0x90, 0x50, 0xD0, 0x30, 0xB0, 0x70, 0xF0,
- 0x08, 0x88, 0x48, 0xC8, 0x28, 0xA8, 0x68, 0xE8,
- 0x18, 0x98, 0x58, 0xD8, 0x38, 0xB8, 0x78, 0xF8,
- 0x04, 0x84, 0x44, 0xC4, 0x24, 0xA4, 0x64, 0xE4,
- 0x14, 0x94, 0x54, 0xD4, 0x34, 0xB4, 0x74, 0xF4,
- 0x0C, 0x8C, 0x4C, 0xCC, 0x2C, 0xAC, 0x6C, 0xEC,
- 0x1C, 0x9C, 0x5C, 0xDC, 0x3C, 0xBC, 0x7C, 0xFC,
- 0x02, 0x82, 0x42, 0xC2, 0x22, 0xA2, 0x62, 0xE2,
- 0x12, 0x92, 0x52, 0xD2, 0x32, 0xB2, 0x72, 0xF2,
- 0x0A, 0x8A, 0x4A, 0xCA, 0x2A, 0xAA, 0x6A, 0xEA,
- 0x1A, 0x9A, 0x5A, 0xDA, 0x3A, 0xBA, 0x7A, 0xFA,
- 0x06, 0x86, 0x46, 0xC6, 0x26, 0xA6, 0x66, 0xE6,
- 0x16, 0x96, 0x56, 0xD6, 0x36, 0xB6, 0x76, 0xF6,
- 0x0E, 0x8E, 0x4E, 0xCE, 0x2E, 0xAE, 0x6E, 0xEE,
- 0x1E, 0x9E, 0x5E, 0xDE, 0x3E, 0xBE, 0x7E, 0xFE,
- 0x01, 0x81, 0x41, 0xC1, 0x21, 0xA1, 0x61, 0xE1,
- 0x11, 0x91, 0x51, 0xD1, 0x31, 0xB1, 0x71, 0xF1,
- 0x09, 0x89, 0x49, 0xC9, 0x29, 0xA9, 0x69, 0xE9,
- 0x19, 0x99, 0x59, 0xD9, 0x39, 0xB9, 0x79, 0xF9,
- 0x05, 0x85, 0x45, 0xC5, 0x25, 0xA5, 0x65, 0xE5,
- 0x15, 0x95, 0x55, 0xD5, 0x35, 0xB5, 0x75, 0xF5,
- 0x0D, 0x8D, 0x4D, 0xCD, 0x2D, 0xAD, 0x6D, 0xED,
- 0x1D, 0x9D, 0x5D, 0xDD, 0x3D, 0xBD, 0x7D, 0xFD,
- 0x03, 0x83, 0x43, 0xC3, 0x23, 0xA3, 0x63, 0xE3,
- 0x13, 0x93, 0x53, 0xD3, 0x33, 0xB3, 0x73, 0xF3,
- 0x0B, 0x8B, 0x4B, 0xCB, 0x2B, 0xAB, 0x6B, 0xEB,
- 0x1B, 0x9B, 0x5B, 0xDB, 0x3B, 0xBB, 0x7B, 0xFB,
- 0x07, 0x87, 0x47, 0xC7, 0x27, 0xA7, 0x67, 0xE7,
- 0x17, 0x97, 0x57, 0xD7, 0x37, 0xB7, 0x77, 0xF7,
- 0x0F, 0x8F, 0x4F, 0xCF, 0x2F, 0xAF, 0x6F, 0xEF,
- 0x1F, 0x9F, 0x5F, 0xDF, 0x3F, 0xBF, 0x7F, 0xFF
- };
- #endif /* BROTLI_RBIT */
- #define BROTLI_REVERSE_BITS_LOWEST \
- ((brotli_reg_t)1 << (BROTLI_REVERSE_BITS_MAX - 1 + BROTLI_REVERSE_BITS_BASE))
- /* Returns reverse(num >> BROTLI_REVERSE_BITS_BASE, BROTLI_REVERSE_BITS_MAX),
- where reverse(value, len) is the bit-wise reversal of the len least
- significant bits of value. */
- static BROTLI_INLINE brotli_reg_t BrotliReverseBits(brotli_reg_t num) {
- #if defined(BROTLI_RBIT)
- return BROTLI_RBIT(num);
- #else
- return kReverseBits[num];
- #endif
- }
- /* Stores code in table[0], table[step], table[2*step], ..., table[end] */
- /* Assumes that end is an integer multiple of step */
- static BROTLI_INLINE void ReplicateValue(HuffmanCode* table,
- int step, int end,
- HuffmanCode code) {
- do {
- end -= step;
- table[end] = code;
- } while (end > 0);
- }
- /* Returns the table width of the next 2nd level table. |count| is the histogram
- of bit lengths for the remaining symbols, |len| is the code length of the
- next processed symbol. */
- static BROTLI_INLINE int NextTableBitSize(const uint16_t* const count,
- int len, int root_bits) {
- int left = 1 << (len - root_bits);
- while (len < BROTLI_HUFFMAN_MAX_CODE_LENGTH) {
- left -= count[len];
- if (left <= 0) break;
- ++len;
- left <<= 1;
- }
- return len - root_bits;
- }
- void BrotliBuildCodeLengthsHuffmanTable(HuffmanCode* table,
- const uint8_t* const code_lengths,
- uint16_t* count) {
- HuffmanCode code; /* current table entry */
- int symbol; /* symbol index in original or sorted table */
- brotli_reg_t key; /* prefix code */
- brotli_reg_t key_step; /* prefix code addend */
- int step; /* step size to replicate values in current table */
- int table_size; /* size of current table */
- int sorted[BROTLI_CODE_LENGTH_CODES]; /* symbols sorted by code length */
- /* offsets in sorted table for each length */
- int offset[BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH + 1];
- int bits;
- int bits_count;
- BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH <=
- BROTLI_REVERSE_BITS_MAX);
- /* Generate offsets into sorted symbol table by code length. */
- symbol = -1;
- bits = 1;
- BROTLI_REPEAT(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH, {
- symbol += count[bits];
- offset[bits] = symbol;
- bits++;
- });
- /* Symbols with code length 0 are placed after all other symbols. */
- offset[0] = BROTLI_CODE_LENGTH_CODES - 1;
- /* Sort symbols by length, by symbol order within each length. */
- symbol = BROTLI_CODE_LENGTH_CODES;
- do {
- BROTLI_REPEAT(6, {
- symbol--;
- sorted[offset[code_lengths[symbol]]--] = symbol;
- });
- } while (symbol != 0);
- table_size = 1 << BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH;
- /* Special case: all symbols but one have 0 code length. */
- if (offset[0] == 0) {
- code = ConstructHuffmanCode(0, (uint16_t)sorted[0]);
- for (key = 0; key < (brotli_reg_t)table_size; ++key) {
- table[key] = code;
- }
- return;
- }
- /* Fill in table. */
- key = 0;
- key_step = BROTLI_REVERSE_BITS_LOWEST;
- symbol = 0;
- bits = 1;
- step = 2;
- do {
- for (bits_count = count[bits]; bits_count != 0; --bits_count) {
- code = ConstructHuffmanCode((uint8_t)bits, (uint16_t)sorted[symbol++]);
- ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code);
- key += key_step;
- }
- step <<= 1;
- key_step >>= 1;
- } while (++bits <= BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH);
- }
- uint32_t BrotliBuildHuffmanTable(HuffmanCode* root_table,
- int root_bits,
- const uint16_t* const symbol_lists,
- uint16_t* count) {
- HuffmanCode code; /* current table entry */
- HuffmanCode* table; /* next available space in table */
- int len; /* current code length */
- int symbol; /* symbol index in original or sorted table */
- brotli_reg_t key; /* prefix code */
- brotli_reg_t key_step; /* prefix code addend */
- brotli_reg_t sub_key; /* 2nd level table prefix code */
- brotli_reg_t sub_key_step; /* 2nd level table prefix code addend */
- int step; /* step size to replicate values in current table */
- int table_bits; /* key length of current table */
- int table_size; /* size of current table */
- int total_size; /* sum of root table size and 2nd level table sizes */
- int max_length = -1;
- int bits;
- int bits_count;
- BROTLI_DCHECK(root_bits <= BROTLI_REVERSE_BITS_MAX);
- BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH - root_bits <=
- BROTLI_REVERSE_BITS_MAX);
- while (symbol_lists[max_length] == 0xFFFF) max_length--;
- max_length += BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1;
- table = root_table;
- table_bits = root_bits;
- table_size = 1 << table_bits;
- total_size = table_size;
- /* Fill in the root table. Reduce the table size to if possible,
- and create the repetitions by memcpy. */
- if (table_bits > max_length) {
- table_bits = max_length;
- table_size = 1 << table_bits;
- }
- key = 0;
- key_step = BROTLI_REVERSE_BITS_LOWEST;
- bits = 1;
- step = 2;
- do {
- symbol = bits - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1);
- for (bits_count = count[bits]; bits_count != 0; --bits_count) {
- symbol = symbol_lists[symbol];
- code = ConstructHuffmanCode((uint8_t)bits, (uint16_t)symbol);
- ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code);
- key += key_step;
- }
- step <<= 1;
- key_step >>= 1;
- } while (++bits <= table_bits);
- /* If root_bits != table_bits then replicate to fill the remaining slots. */
- while (total_size != table_size) {
- memcpy(&table[table_size], &table[0],
- (size_t)table_size * sizeof(table[0]));
- table_size <<= 1;
- }
- /* Fill in 2nd level tables and add pointers to root table. */
- key_step = BROTLI_REVERSE_BITS_LOWEST >> (root_bits - 1);
- sub_key = (BROTLI_REVERSE_BITS_LOWEST << 1);
- sub_key_step = BROTLI_REVERSE_BITS_LOWEST;
- for (len = root_bits + 1, step = 2; len <= max_length; ++len) {
- symbol = len - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1);
- for (; count[len] != 0; --count[len]) {
- if (sub_key == (BROTLI_REVERSE_BITS_LOWEST << 1U)) {
- table += table_size;
- table_bits = NextTableBitSize(count, len, root_bits);
- table_size = 1 << table_bits;
- total_size += table_size;
- sub_key = BrotliReverseBits(key);
- key += key_step;
- root_table[sub_key] = ConstructHuffmanCode(
- (uint8_t)(table_bits + root_bits),
- (uint16_t)(((size_t)(table - root_table)) - sub_key));
- sub_key = 0;
- }
- symbol = symbol_lists[symbol];
- code = ConstructHuffmanCode((uint8_t)(len - root_bits), (uint16_t)symbol);
- ReplicateValue(
- &table[BrotliReverseBits(sub_key)], step, table_size, code);
- sub_key += sub_key_step;
- }
- step <<= 1;
- sub_key_step >>= 1;
- }
- return (uint32_t)total_size;
- }
- uint32_t BrotliBuildSimpleHuffmanTable(HuffmanCode* table,
- int root_bits,
- uint16_t* val,
- uint32_t num_symbols) {
- uint32_t table_size = 1;
- const uint32_t goal_size = 1U << root_bits;
- switch (num_symbols) {
- case 0:
- table[0] = ConstructHuffmanCode(0, val[0]);
- break;
- case 1:
- if (val[1] > val[0]) {
- table[0] = ConstructHuffmanCode(1, val[0]);
- table[1] = ConstructHuffmanCode(1, val[1]);
- } else {
- table[0] = ConstructHuffmanCode(1, val[1]);
- table[1] = ConstructHuffmanCode(1, val[0]);
- }
- table_size = 2;
- break;
- case 2:
- table[0] = ConstructHuffmanCode(1, val[0]);
- table[2] = ConstructHuffmanCode(1, val[0]);
- if (val[2] > val[1]) {
- table[1] = ConstructHuffmanCode(2, val[1]);
- table[3] = ConstructHuffmanCode(2, val[2]);
- } else {
- table[1] = ConstructHuffmanCode(2, val[2]);
- table[3] = ConstructHuffmanCode(2, val[1]);
- }
- table_size = 4;
- break;
- case 3: {
- int i, k;
- for (i = 0; i < 3; ++i) {
- for (k = i + 1; k < 4; ++k) {
- if (val[k] < val[i]) {
- uint16_t t = val[k];
- val[k] = val[i];
- val[i] = t;
- }
- }
- }
- table[0] = ConstructHuffmanCode(2, val[0]);
- table[2] = ConstructHuffmanCode(2, val[1]);
- table[1] = ConstructHuffmanCode(2, val[2]);
- table[3] = ConstructHuffmanCode(2, val[3]);
- table_size = 4;
- break;
- }
- case 4: {
- if (val[3] < val[2]) {
- uint16_t t = val[3];
- val[3] = val[2];
- val[2] = t;
- }
- table[0] = ConstructHuffmanCode(1, val[0]);
- table[1] = ConstructHuffmanCode(2, val[1]);
- table[2] = ConstructHuffmanCode(1, val[0]);
- table[3] = ConstructHuffmanCode(3, val[2]);
- table[4] = ConstructHuffmanCode(1, val[0]);
- table[5] = ConstructHuffmanCode(2, val[1]);
- table[6] = ConstructHuffmanCode(1, val[0]);
- table[7] = ConstructHuffmanCode(3, val[3]);
- table_size = 8;
- break;
- }
- }
- while (table_size != goal_size) {
- memcpy(&table[table_size], &table[0],
- (size_t)table_size * sizeof(table[0]));
- table_size <<= 1;
- }
- return goal_size;
- }
- #if defined(__cplusplus) || defined(c_plusplus)
- } /* extern "C" */
- #endif
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