huffman_utils.c (10624B)
1 // Copyright 2012 Google Inc. All Rights Reserved. 2 // 3 // Use of this source code is governed by a BSD-style license 4 // that can be found in the COPYING file in the root of the source 5 // tree. An additional intellectual property rights grant can be found 6 // in the file PATENTS. All contributing project authors may 7 // be found in the AUTHORS file in the root of the source tree. 8 // ----------------------------------------------------------------------------- 9 // 10 // Utilities for building and looking up Huffman trees. 11 // 12 // Author: Urvang Joshi (urvang@google.com) 13 14 #include <assert.h> 15 #include <stdlib.h> 16 #include <string.h> 17 18 #include "src/utils/huffman_utils.h" 19 #include "src/utils/utils.h" 20 #include "src/webp/format_constants.h" 21 #include "src/webp/types.h" 22 23 // Huffman data read via DecodeImageStream is represented in two (red and green) 24 // bytes. 25 #define MAX_HTREE_GROUPS 0x10000 26 27 HTreeGroup* VP8LHtreeGroupsNew(int num_htree_groups) { 28 HTreeGroup* const htree_groups = 29 (HTreeGroup*)WebPSafeMalloc(num_htree_groups, sizeof(*htree_groups)); 30 if (htree_groups == NULL) { 31 return NULL; 32 } 33 assert(num_htree_groups <= MAX_HTREE_GROUPS); 34 return htree_groups; 35 } 36 37 void VP8LHtreeGroupsFree(HTreeGroup* const htree_groups) { 38 if (htree_groups != NULL) { 39 WebPSafeFree(htree_groups); 40 } 41 } 42 43 // Returns reverse(reverse(key, len) + 1, len), where reverse(key, len) is the 44 // bit-wise reversal of the len least significant bits of key. 45 static WEBP_INLINE uint32_t GetNextKey(uint32_t key, int len) { 46 uint32_t step = 1 << (len - 1); 47 while (key & step) { 48 step >>= 1; 49 } 50 return step ? (key & (step - 1)) + step : key; 51 } 52 53 // Stores code in table[0], table[step], table[2*step], ..., table[end]. 54 // Assumes that end is an integer multiple of step. 55 static WEBP_INLINE void ReplicateValue(HuffmanCode* table, 56 int step, int end, 57 HuffmanCode code) { 58 assert(end % step == 0); 59 do { 60 end -= step; 61 table[end] = code; 62 } while (end > 0); 63 } 64 65 // Returns the table width of the next 2nd level table. count is the histogram 66 // of bit lengths for the remaining symbols, len is the code length of the next 67 // processed symbol 68 static WEBP_INLINE int NextTableBitSize(const int* const count, 69 int len, int root_bits) { 70 int left = 1 << (len - root_bits); 71 while (len < MAX_ALLOWED_CODE_LENGTH) { 72 left -= count[len]; 73 if (left <= 0) break; 74 ++len; 75 left <<= 1; 76 } 77 return len - root_bits; 78 } 79 80 // sorted[code_lengths_size] is a pre-allocated array for sorting symbols 81 // by code length. 82 static int BuildHuffmanTable(HuffmanCode* const root_table, int root_bits, 83 const int code_lengths[], int code_lengths_size, 84 uint16_t sorted[]) { 85 HuffmanCode* table = root_table; // next available space in table 86 int total_size = 1 << root_bits; // total size root table + 2nd level table 87 int len; // current code length 88 int symbol; // symbol index in original or sorted table 89 // number of codes of each length: 90 int count[MAX_ALLOWED_CODE_LENGTH + 1] = { 0 }; 91 // offsets in sorted table for each length: 92 int offset[MAX_ALLOWED_CODE_LENGTH + 1]; 93 94 assert(code_lengths_size != 0); 95 assert(code_lengths != NULL); 96 assert((root_table != NULL && sorted != NULL) || 97 (root_table == NULL && sorted == NULL)); 98 assert(root_bits > 0); 99 100 // Build histogram of code lengths. 101 for (symbol = 0; symbol < code_lengths_size; ++symbol) { 102 if (code_lengths[symbol] > MAX_ALLOWED_CODE_LENGTH) { 103 return 0; 104 } 105 ++count[code_lengths[symbol]]; 106 } 107 108 // Error, all code lengths are zeros. 109 if (count[0] == code_lengths_size) { 110 return 0; 111 } 112 113 // Generate offsets into sorted symbol table by code length. 114 offset[1] = 0; 115 for (len = 1; len < MAX_ALLOWED_CODE_LENGTH; ++len) { 116 if (count[len] > (1 << len)) { 117 return 0; 118 } 119 offset[len + 1] = offset[len] + count[len]; 120 } 121 122 // Sort symbols by length, by symbol order within each length. 123 for (symbol = 0; symbol < code_lengths_size; ++symbol) { 124 const int symbol_code_length = code_lengths[symbol]; 125 if (code_lengths[symbol] > 0) { 126 if (sorted != NULL) { 127 if(offset[symbol_code_length] >= code_lengths_size) { 128 return 0; 129 } 130 sorted[offset[symbol_code_length]++] = symbol; 131 } else { 132 offset[symbol_code_length]++; 133 } 134 } 135 } 136 137 // Special case code with only one value. 138 if (offset[MAX_ALLOWED_CODE_LENGTH] == 1) { 139 if (sorted != NULL) { 140 HuffmanCode code; 141 code.bits = 0; 142 code.value = (uint16_t)sorted[0]; 143 ReplicateValue(table, 1, total_size, code); 144 } 145 return total_size; 146 } 147 148 { 149 int step; // step size to replicate values in current table 150 uint32_t low = 0xffffffffu; // low bits for current root entry 151 uint32_t mask = total_size - 1; // mask for low bits 152 uint32_t key = 0; // reversed prefix code 153 int num_nodes = 1; // number of Huffman tree nodes 154 int num_open = 1; // number of open branches in current tree level 155 int table_bits = root_bits; // key length of current table 156 int table_size = 1 << table_bits; // size of current table 157 symbol = 0; 158 // Fill in root table. 159 for (len = 1, step = 2; len <= root_bits; ++len, step <<= 1) { 160 num_open <<= 1; 161 num_nodes += num_open; 162 num_open -= count[len]; 163 if (num_open < 0) { 164 return 0; 165 } 166 if (root_table == NULL) continue; 167 for (; count[len] > 0; --count[len]) { 168 HuffmanCode code; 169 code.bits = (uint8_t)len; 170 code.value = (uint16_t)sorted[symbol++]; 171 ReplicateValue(&table[key], step, table_size, code); 172 key = GetNextKey(key, len); 173 } 174 } 175 176 // Fill in 2nd level tables and add pointers to root table. 177 for (len = root_bits + 1, step = 2; len <= MAX_ALLOWED_CODE_LENGTH; 178 ++len, step <<= 1) { 179 num_open <<= 1; 180 num_nodes += num_open; 181 num_open -= count[len]; 182 if (num_open < 0) { 183 return 0; 184 } 185 for (; count[len] > 0; --count[len]) { 186 HuffmanCode code; 187 if ((key & mask) != low) { 188 if (root_table != NULL) table += table_size; 189 table_bits = NextTableBitSize(count, len, root_bits); 190 table_size = 1 << table_bits; 191 total_size += table_size; 192 low = key & mask; 193 if (root_table != NULL) { 194 root_table[low].bits = (uint8_t)(table_bits + root_bits); 195 root_table[low].value = (uint16_t)((table - root_table) - low); 196 } 197 } 198 if (root_table != NULL) { 199 code.bits = (uint8_t)(len - root_bits); 200 code.value = (uint16_t)sorted[symbol++]; 201 ReplicateValue(&table[key >> root_bits], step, table_size, code); 202 } 203 key = GetNextKey(key, len); 204 } 205 } 206 207 // Check if tree is full. 208 if (num_nodes != 2 * offset[MAX_ALLOWED_CODE_LENGTH] - 1) { 209 return 0; 210 } 211 } 212 213 return total_size; 214 } 215 216 // Maximum code_lengths_size is 2328 (reached for 11-bit color_cache_bits). 217 // More commonly, the value is around ~280. 218 #define MAX_CODE_LENGTHS_SIZE \ 219 ((1 << MAX_CACHE_BITS) + NUM_LITERAL_CODES + NUM_LENGTH_CODES) 220 // Cut-off value for switching between heap and stack allocation. 221 #define SORTED_SIZE_CUTOFF 512 222 int VP8LBuildHuffmanTable(HuffmanTables* const root_table, int root_bits, 223 const int code_lengths[], int code_lengths_size) { 224 const int total_size = 225 BuildHuffmanTable(NULL, root_bits, code_lengths, code_lengths_size, NULL); 226 assert(code_lengths_size <= MAX_CODE_LENGTHS_SIZE); 227 if (total_size == 0 || root_table == NULL) return total_size; 228 229 if (root_table->curr_segment->curr_table + total_size >= 230 root_table->curr_segment->start + root_table->curr_segment->size) { 231 // If 'root_table' does not have enough memory, allocate a new segment. 232 // The available part of root_table->curr_segment is left unused because we 233 // need a contiguous buffer. 234 const int segment_size = root_table->curr_segment->size; 235 struct HuffmanTablesSegment* next = 236 (HuffmanTablesSegment*)WebPSafeMalloc(1, sizeof(*next)); 237 if (next == NULL) return 0; 238 // Fill the new segment. 239 // We need at least 'total_size' but if that value is small, it is better to 240 // allocate a big chunk to prevent more allocations later. 'segment_size' is 241 // therefore chosen (any other arbitrary value could be chosen). 242 next->size = total_size > segment_size ? total_size : segment_size; 243 next->start = 244 (HuffmanCode*)WebPSafeMalloc(next->size, sizeof(*next->start)); 245 if (next->start == NULL) { 246 WebPSafeFree(next); 247 return 0; 248 } 249 next->curr_table = next->start; 250 next->next = NULL; 251 // Point to the new segment. 252 root_table->curr_segment->next = next; 253 root_table->curr_segment = next; 254 } 255 if (code_lengths_size <= SORTED_SIZE_CUTOFF) { 256 // use local stack-allocated array. 257 uint16_t sorted[SORTED_SIZE_CUTOFF]; 258 BuildHuffmanTable(root_table->curr_segment->curr_table, root_bits, 259 code_lengths, code_lengths_size, sorted); 260 } else { // rare case. Use heap allocation. 261 uint16_t* const sorted = 262 (uint16_t*)WebPSafeMalloc(code_lengths_size, sizeof(*sorted)); 263 if (sorted == NULL) return 0; 264 BuildHuffmanTable(root_table->curr_segment->curr_table, root_bits, 265 code_lengths, code_lengths_size, sorted); 266 WebPSafeFree(sorted); 267 } 268 return total_size; 269 } 270 271 int VP8LHuffmanTablesAllocate(int size, HuffmanTables* huffman_tables) { 272 // Have 'segment' point to the first segment for now, 'root'. 273 HuffmanTablesSegment* const root = &huffman_tables->root; 274 huffman_tables->curr_segment = root; 275 root->next = NULL; 276 // Allocate root. 277 root->start = (HuffmanCode*)WebPSafeMalloc(size, sizeof(*root->start)); 278 if (root->start == NULL) return 0; 279 root->curr_table = root->start; 280 root->size = size; 281 return 1; 282 } 283 284 void VP8LHuffmanTablesDeallocate(HuffmanTables* const huffman_tables) { 285 HuffmanTablesSegment *current, *next; 286 if (huffman_tables == NULL) return; 287 // Free the root node. 288 current = &huffman_tables->root; 289 next = current->next; 290 WebPSafeFree(current->start); 291 current->start = NULL; 292 current->next = NULL; 293 current = next; 294 // Free the following nodes. 295 while (current != NULL) { 296 next = current->next; 297 WebPSafeFree(current->start); 298 WebPSafeFree(current); 299 current = next; 300 } 301 }