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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 }