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 #include "src/utils/huffman_utils.h"
18 #include "src/utils/utils.h"
19 #include "src/webp/format_constants.h"
20 
21 // Huffman data read via DecodeImageStream is represented in two (red and green)
22 // bytes.
23 #define MAX_HTREE_GROUPS    0x10000
24 
VP8LHtreeGroupsNew(int num_htree_groups)25 HTreeGroup* VP8LHtreeGroupsNew(int num_htree_groups) {
26   HTreeGroup* const htree_groups =
27       (HTreeGroup*)WebPSafeMalloc(num_htree_groups, sizeof(*htree_groups));
28   if (htree_groups == NULL) {
29     return NULL;
30   }
31   assert(num_htree_groups <= MAX_HTREE_GROUPS);
32   return htree_groups;
33 }
34 
VP8LHtreeGroupsFree(HTreeGroup * const htree_groups)35 void VP8LHtreeGroupsFree(HTreeGroup* const htree_groups) {
36   if (htree_groups != NULL) {
37     WebPSafeFree(htree_groups);
38   }
39 }
40 
41 // Returns reverse(reverse(key, len) + 1, len), where reverse(key, len) is the
42 // bit-wise reversal of the len least significant bits of key.
GetNextKey(uint32_t key,int len)43 static WEBP_INLINE uint32_t GetNextKey(uint32_t key, int len) {
44   uint32_t step = 1 << (len - 1);
45   while (key & step) {
46     step >>= 1;
47   }
48   return step ? (key & (step - 1)) + step : key;
49 }
50 
51 // Stores code in table[0], table[step], table[2*step], ..., table[end].
52 // Assumes that end is an integer multiple of step.
ReplicateValue(HuffmanCode * table,int step,int end,HuffmanCode code)53 static WEBP_INLINE void ReplicateValue(HuffmanCode* table,
54                                        int step, int end,
55                                        HuffmanCode code) {
56   assert(end % step == 0);
57   do {
58     end -= step;
59     table[end] = code;
60   } while (end > 0);
61 }
62 
63 // Returns the table width of the next 2nd level table. count is the histogram
64 // of bit lengths for the remaining symbols, len is the code length of the next
65 // processed symbol
NextTableBitSize(const int * const count,int len,int root_bits)66 static WEBP_INLINE int NextTableBitSize(const int* const count,
67                                         int len, int root_bits) {
68   int left = 1 << (len - root_bits);
69   while (len < MAX_ALLOWED_CODE_LENGTH) {
70     left -= count[len];
71     if (left <= 0) break;
72     ++len;
73     left <<= 1;
74   }
75   return len - root_bits;
76 }
77 
78 // sorted[code_lengths_size] is a pre-allocated array for sorting symbols
79 // by code length.
BuildHuffmanTable(HuffmanCode * const root_table,int root_bits,const int code_lengths[],int code_lengths_size,uint16_t sorted[])80 static int BuildHuffmanTable(HuffmanCode* const root_table, int root_bits,
81                              const int code_lengths[], int code_lengths_size,
82                              uint16_t sorted[]) {
83   HuffmanCode* table = root_table;  // next available space in table
84   int total_size = 1 << root_bits;  // total size root table + 2nd level table
85   int len;                          // current code length
86   int symbol;                       // symbol index in original or sorted table
87   // number of codes of each length:
88   int count[MAX_ALLOWED_CODE_LENGTH + 1] = { 0 };
89   // offsets in sorted table for each length:
90   int offset[MAX_ALLOWED_CODE_LENGTH + 1];
91 
92   assert(code_lengths_size != 0);
93   assert(code_lengths != NULL);
94   assert(root_table != NULL);
95   assert(root_bits > 0);
96 
97   // Build histogram of code lengths.
98   for (symbol = 0; symbol < code_lengths_size; ++symbol) {
99     if (code_lengths[symbol] > MAX_ALLOWED_CODE_LENGTH) {
100       return 0;
101     }
102     ++count[code_lengths[symbol]];
103   }
104 
105   // Error, all code lengths are zeros.
106   if (count[0] == code_lengths_size) {
107     return 0;
108   }
109 
110   // Generate offsets into sorted symbol table by code length.
111   offset[1] = 0;
112   for (len = 1; len < MAX_ALLOWED_CODE_LENGTH; ++len) {
113     if (count[len] > (1 << len)) {
114       return 0;
115     }
116     offset[len + 1] = offset[len] + count[len];
117   }
118 
119   // Sort symbols by length, by symbol order within each length.
120   for (symbol = 0; symbol < code_lengths_size; ++symbol) {
121     const int symbol_code_length = code_lengths[symbol];
122     if (code_lengths[symbol] > 0) {
123       sorted[offset[symbol_code_length]++] = symbol;
124     }
125   }
126 
127   // Special case code with only one value.
128   if (offset[MAX_ALLOWED_CODE_LENGTH] == 1) {
129     HuffmanCode code;
130     code.bits = 0;
131     code.value = (uint16_t)sorted[0];
132     ReplicateValue(table, 1, total_size, code);
133     return total_size;
134   }
135 
136   {
137     int step;              // step size to replicate values in current table
138     uint32_t low = -1;     // low bits for current root entry
139     uint32_t mask = total_size - 1;    // mask for low bits
140     uint32_t key = 0;      // reversed prefix code
141     int num_nodes = 1;     // number of Huffman tree nodes
142     int num_open = 1;      // number of open branches in current tree level
143     int table_bits = root_bits;        // key length of current table
144     int table_size = 1 << table_bits;  // size of current table
145     symbol = 0;
146     // Fill in root table.
147     for (len = 1, step = 2; len <= root_bits; ++len, step <<= 1) {
148       num_open <<= 1;
149       num_nodes += num_open;
150       num_open -= count[len];
151       if (num_open < 0) {
152         return 0;
153       }
154       for (; count[len] > 0; --count[len]) {
155         HuffmanCode code;
156         code.bits = (uint8_t)len;
157         code.value = (uint16_t)sorted[symbol++];
158         ReplicateValue(&table[key], step, table_size, code);
159         key = GetNextKey(key, len);
160       }
161     }
162 
163     // Fill in 2nd level tables and add pointers to root table.
164     for (len = root_bits + 1, step = 2; len <= MAX_ALLOWED_CODE_LENGTH;
165          ++len, step <<= 1) {
166       num_open <<= 1;
167       num_nodes += num_open;
168       num_open -= count[len];
169       if (num_open < 0) {
170         return 0;
171       }
172       for (; count[len] > 0; --count[len]) {
173         HuffmanCode code;
174         if ((key & mask) != low) {
175           table += table_size;
176           table_bits = NextTableBitSize(count, len, root_bits);
177           table_size = 1 << table_bits;
178           total_size += table_size;
179           low = key & mask;
180           root_table[low].bits = (uint8_t)(table_bits + root_bits);
181           root_table[low].value = (uint16_t)((table - root_table) - low);
182         }
183         code.bits = (uint8_t)(len - root_bits);
184         code.value = (uint16_t)sorted[symbol++];
185         ReplicateValue(&table[key >> root_bits], step, table_size, code);
186         key = GetNextKey(key, len);
187       }
188     }
189 
190     // Check if tree is full.
191     if (num_nodes != 2 * offset[MAX_ALLOWED_CODE_LENGTH] - 1) {
192       return 0;
193     }
194   }
195 
196   return total_size;
197 }
198 
199 // Maximum code_lengths_size is 2328 (reached for 11-bit color_cache_bits).
200 // More commonly, the value is around ~280.
201 #define MAX_CODE_LENGTHS_SIZE \
202   ((1 << MAX_CACHE_BITS) + NUM_LITERAL_CODES + NUM_LENGTH_CODES)
203 // Cut-off value for switching between heap and stack allocation.
204 #define SORTED_SIZE_CUTOFF 512
VP8LBuildHuffmanTable(HuffmanCode * const root_table,int root_bits,const int code_lengths[],int code_lengths_size)205 int VP8LBuildHuffmanTable(HuffmanCode* const root_table, int root_bits,
206                           const int code_lengths[], int code_lengths_size) {
207   int total_size;
208   assert(code_lengths_size <= MAX_CODE_LENGTHS_SIZE);
209   if (code_lengths_size <= SORTED_SIZE_CUTOFF) {
210     // use local stack-allocated array.
211     uint16_t sorted[SORTED_SIZE_CUTOFF];
212     total_size = BuildHuffmanTable(root_table, root_bits,
213                                    code_lengths, code_lengths_size, sorted);
214   } else {   // rare case. Use heap allocation.
215     uint16_t* const sorted =
216         (uint16_t*)WebPSafeMalloc(code_lengths_size, sizeof(*sorted));
217     if (sorted == NULL) return 0;
218     total_size = BuildHuffmanTable(root_table, root_bits,
219                                    code_lengths, code_lengths_size, sorted);
220     WebPSafeFree(sorted);
221   }
222   return total_size;
223 }
224