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1/* Copyright 2013 Google Inc. All Rights Reserved.\r
2\r
3 Distributed under MIT license.\r
4 See file LICENSE for detail or copy at https://opensource.org/licenses/MIT\r
5*/\r
6\r
7/* Utilities for building Huffman decoding tables. */\r
8\r
9#include "./huffman.h"\r
10\r
841b2590 11//#include <string.h> /* memcpy, memset */\r
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12\r
13#include "../common/constants.h"\r
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14#include "../common/platform.h"\r
15#include <brotli/types.h>\r
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16\r
17#if defined(__cplusplus) || defined(c_plusplus)\r
18extern "C" {\r
19#endif\r
20\r
21#define BROTLI_REVERSE_BITS_MAX 8\r
22\r
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23#if defined(BROTLI_RBIT)\r
24#define BROTLI_REVERSE_BITS_BASE \\r
25 ((sizeof(brotli_reg_t) << 3) - BROTLI_REVERSE_BITS_MAX)\r
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26#else\r
27#define BROTLI_REVERSE_BITS_BASE 0\r
28static uint8_t kReverseBits[1 << BROTLI_REVERSE_BITS_MAX] = {\r
29 0x00, 0x80, 0x40, 0xC0, 0x20, 0xA0, 0x60, 0xE0,\r
30 0x10, 0x90, 0x50, 0xD0, 0x30, 0xB0, 0x70, 0xF0,\r
31 0x08, 0x88, 0x48, 0xC8, 0x28, 0xA8, 0x68, 0xE8,\r
32 0x18, 0x98, 0x58, 0xD8, 0x38, 0xB8, 0x78, 0xF8,\r
33 0x04, 0x84, 0x44, 0xC4, 0x24, 0xA4, 0x64, 0xE4,\r
34 0x14, 0x94, 0x54, 0xD4, 0x34, 0xB4, 0x74, 0xF4,\r
35 0x0C, 0x8C, 0x4C, 0xCC, 0x2C, 0xAC, 0x6C, 0xEC,\r
36 0x1C, 0x9C, 0x5C, 0xDC, 0x3C, 0xBC, 0x7C, 0xFC,\r
37 0x02, 0x82, 0x42, 0xC2, 0x22, 0xA2, 0x62, 0xE2,\r
38 0x12, 0x92, 0x52, 0xD2, 0x32, 0xB2, 0x72, 0xF2,\r
39 0x0A, 0x8A, 0x4A, 0xCA, 0x2A, 0xAA, 0x6A, 0xEA,\r
40 0x1A, 0x9A, 0x5A, 0xDA, 0x3A, 0xBA, 0x7A, 0xFA,\r
41 0x06, 0x86, 0x46, 0xC6, 0x26, 0xA6, 0x66, 0xE6,\r
42 0x16, 0x96, 0x56, 0xD6, 0x36, 0xB6, 0x76, 0xF6,\r
43 0x0E, 0x8E, 0x4E, 0xCE, 0x2E, 0xAE, 0x6E, 0xEE,\r
44 0x1E, 0x9E, 0x5E, 0xDE, 0x3E, 0xBE, 0x7E, 0xFE,\r
45 0x01, 0x81, 0x41, 0xC1, 0x21, 0xA1, 0x61, 0xE1,\r
46 0x11, 0x91, 0x51, 0xD1, 0x31, 0xB1, 0x71, 0xF1,\r
47 0x09, 0x89, 0x49, 0xC9, 0x29, 0xA9, 0x69, 0xE9,\r
48 0x19, 0x99, 0x59, 0xD9, 0x39, 0xB9, 0x79, 0xF9,\r
49 0x05, 0x85, 0x45, 0xC5, 0x25, 0xA5, 0x65, 0xE5,\r
50 0x15, 0x95, 0x55, 0xD5, 0x35, 0xB5, 0x75, 0xF5,\r
51 0x0D, 0x8D, 0x4D, 0xCD, 0x2D, 0xAD, 0x6D, 0xED,\r
52 0x1D, 0x9D, 0x5D, 0xDD, 0x3D, 0xBD, 0x7D, 0xFD,\r
53 0x03, 0x83, 0x43, 0xC3, 0x23, 0xA3, 0x63, 0xE3,\r
54 0x13, 0x93, 0x53, 0xD3, 0x33, 0xB3, 0x73, 0xF3,\r
55 0x0B, 0x8B, 0x4B, 0xCB, 0x2B, 0xAB, 0x6B, 0xEB,\r
56 0x1B, 0x9B, 0x5B, 0xDB, 0x3B, 0xBB, 0x7B, 0xFB,\r
57 0x07, 0x87, 0x47, 0xC7, 0x27, 0xA7, 0x67, 0xE7,\r
58 0x17, 0x97, 0x57, 0xD7, 0x37, 0xB7, 0x77, 0xF7,\r
59 0x0F, 0x8F, 0x4F, 0xCF, 0x2F, 0xAF, 0x6F, 0xEF,\r
60 0x1F, 0x9F, 0x5F, 0xDF, 0x3F, 0xBF, 0x7F, 0xFF\r
61};\r
62#endif /* BROTLI_RBIT */\r
63\r
64#define BROTLI_REVERSE_BITS_LOWEST \\r
2730470f 65 ((brotli_reg_t)1 << (BROTLI_REVERSE_BITS_MAX - 1 + BROTLI_REVERSE_BITS_BASE))\r
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66\r
67/* Returns reverse(num >> BROTLI_REVERSE_BITS_BASE, BROTLI_REVERSE_BITS_MAX),\r
68 where reverse(value, len) is the bit-wise reversal of the len least\r
69 significant bits of value. */\r
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70static BROTLI_INLINE brotli_reg_t BrotliReverseBits(brotli_reg_t num) {\r
71#if defined(BROTLI_RBIT)\r
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72 return BROTLI_RBIT(num);\r
73#else\r
74 return kReverseBits[num];\r
75#endif\r
76}\r
77\r
78/* Stores code in table[0], table[step], table[2*step], ..., table[end] */\r
79/* Assumes that end is an integer multiple of step */\r
80static BROTLI_INLINE void ReplicateValue(HuffmanCode* table,\r
81 int step, int end,\r
82 HuffmanCode code) {\r
83 do {\r
84 end -= step;\r
85 table[end] = code;\r
86 } while (end > 0);\r
87}\r
88\r
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89/* Returns the table width of the next 2nd level table. |count| is the histogram\r
90 of bit lengths for the remaining symbols, |len| is the code length of the\r
91 next processed symbol. */\r
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92static BROTLI_INLINE int NextTableBitSize(const uint16_t* const count,\r
93 int len, int root_bits) {\r
94 int left = 1 << (len - root_bits);\r
95 while (len < BROTLI_HUFFMAN_MAX_CODE_LENGTH) {\r
96 left -= count[len];\r
97 if (left <= 0) break;\r
98 ++len;\r
99 left <<= 1;\r
100 }\r
101 return len - root_bits;\r
102}\r
103\r
104void BrotliBuildCodeLengthsHuffmanTable(HuffmanCode* table,\r
105 const uint8_t* const code_lengths,\r
106 uint16_t* count) {\r
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107 HuffmanCode code; /* current table entry */\r
108 int symbol; /* symbol index in original or sorted table */\r
109 brotli_reg_t key; /* prefix code */\r
110 brotli_reg_t key_step; /* prefix code addend */\r
111 int step; /* step size to replicate values in current table */\r
112 int table_size; /* size of current table */\r
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113 int sorted[BROTLI_CODE_LENGTH_CODES]; /* symbols sorted by code length */\r
114 /* offsets in sorted table for each length */\r
115 int offset[BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH + 1];\r
116 int bits;\r
117 int bits_count;\r
118 BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH <=\r
119 BROTLI_REVERSE_BITS_MAX);\r
120\r
2730470f 121 /* Generate offsets into sorted symbol table by code length. */\r
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122 symbol = -1;\r
123 bits = 1;\r
124 BROTLI_REPEAT(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH, {\r
125 symbol += count[bits];\r
126 offset[bits] = symbol;\r
127 bits++;\r
128 });\r
129 /* Symbols with code length 0 are placed after all other symbols. */\r
130 offset[0] = BROTLI_CODE_LENGTH_CODES - 1;\r
131\r
2730470f 132 /* Sort symbols by length, by symbol order within each length. */\r
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133 symbol = BROTLI_CODE_LENGTH_CODES;\r
134 do {\r
135 BROTLI_REPEAT(6, {\r
136 symbol--;\r
137 sorted[offset[code_lengths[symbol]]--] = symbol;\r
138 });\r
139 } while (symbol != 0);\r
140\r
141 table_size = 1 << BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH;\r
142\r
143 /* Special case: all symbols but one have 0 code length. */\r
144 if (offset[0] == 0) {\r
145 code.bits = 0;\r
146 code.value = (uint16_t)sorted[0];\r
2730470f 147 for (key = 0; key < (brotli_reg_t)table_size; ++key) {\r
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148 table[key] = code;\r
149 }\r
150 return;\r
151 }\r
152\r
2730470f 153 /* Fill in table. */\r
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154 key = 0;\r
155 key_step = BROTLI_REVERSE_BITS_LOWEST;\r
156 symbol = 0;\r
157 bits = 1;\r
158 step = 2;\r
159 do {\r
160 code.bits = (uint8_t)bits;\r
161 for (bits_count = count[bits]; bits_count != 0; --bits_count) {\r
162 code.value = (uint16_t)sorted[symbol++];\r
163 ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code);\r
164 key += key_step;\r
165 }\r
166 step <<= 1;\r
167 key_step >>= 1;\r
168 } while (++bits <= BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH);\r
169}\r
170\r
171uint32_t BrotliBuildHuffmanTable(HuffmanCode* root_table,\r
172 int root_bits,\r
173 const uint16_t* const symbol_lists,\r
174 uint16_t* count) {\r
175 HuffmanCode code; /* current table entry */\r
176 HuffmanCode* table; /* next available space in table */\r
177 int len; /* current code length */\r
178 int symbol; /* symbol index in original or sorted table */\r
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179 brotli_reg_t key; /* prefix code */\r
180 brotli_reg_t key_step; /* prefix code addend */\r
181 brotli_reg_t sub_key; /* 2nd level table prefix code */\r
182 brotli_reg_t sub_key_step; /* 2nd level table prefix code addend */\r
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183 int step; /* step size to replicate values in current table */\r
184 int table_bits; /* key length of current table */\r
185 int table_size; /* size of current table */\r
186 int total_size; /* sum of root table size and 2nd level table sizes */\r
187 int max_length = -1;\r
188 int bits;\r
189 int bits_count;\r
190\r
191 BROTLI_DCHECK(root_bits <= BROTLI_REVERSE_BITS_MAX);\r
192 BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH - root_bits <=\r
193 BROTLI_REVERSE_BITS_MAX);\r
194\r
195 while (symbol_lists[max_length] == 0xFFFF) max_length--;\r
196 max_length += BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1;\r
197\r
198 table = root_table;\r
199 table_bits = root_bits;\r
200 table_size = 1 << table_bits;\r
201 total_size = table_size;\r
202\r
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203 /* Fill in the root table. Reduce the table size to if possible,\r
204 and create the repetitions by memcpy. */\r
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205 if (table_bits > max_length) {\r
206 table_bits = max_length;\r
207 table_size = 1 << table_bits;\r
208 }\r
209 key = 0;\r
210 key_step = BROTLI_REVERSE_BITS_LOWEST;\r
211 bits = 1;\r
212 step = 2;\r
213 do {\r
214 code.bits = (uint8_t)bits;\r
215 symbol = bits - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1);\r
216 for (bits_count = count[bits]; bits_count != 0; --bits_count) {\r
217 symbol = symbol_lists[symbol];\r
218 code.value = (uint16_t)symbol;\r
219 ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code);\r
220 key += key_step;\r
221 }\r
222 step <<= 1;\r
223 key_step >>= 1;\r
224 } while (++bits <= table_bits);\r
225\r
2730470f 226 /* If root_bits != table_bits then replicate to fill the remaining slots. */\r
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227 while (total_size != table_size) {\r
228 memcpy(&table[table_size], &table[0],\r
229 (size_t)table_size * sizeof(table[0]));\r
230 table_size <<= 1;\r
231 }\r
232\r
2730470f 233 /* Fill in 2nd level tables and add pointers to root table. */\r
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234 key_step = BROTLI_REVERSE_BITS_LOWEST >> (root_bits - 1);\r
235 sub_key = (BROTLI_REVERSE_BITS_LOWEST << 1);\r
236 sub_key_step = BROTLI_REVERSE_BITS_LOWEST;\r
237 for (len = root_bits + 1, step = 2; len <= max_length; ++len) {\r
238 symbol = len - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1);\r
239 for (; count[len] != 0; --count[len]) {\r
240 if (sub_key == (BROTLI_REVERSE_BITS_LOWEST << 1U)) {\r
241 table += table_size;\r
242 table_bits = NextTableBitSize(count, len, root_bits);\r
243 table_size = 1 << table_bits;\r
244 total_size += table_size;\r
245 sub_key = BrotliReverseBits(key);\r
246 key += key_step;\r
247 root_table[sub_key].bits = (uint8_t)(table_bits + root_bits);\r
248 root_table[sub_key].value =\r
249 (uint16_t)(((size_t)(table - root_table)) - sub_key);\r
250 sub_key = 0;\r
251 }\r
252 code.bits = (uint8_t)(len - root_bits);\r
253 symbol = symbol_lists[symbol];\r
254 code.value = (uint16_t)symbol;\r
255 ReplicateValue(\r
256 &table[BrotliReverseBits(sub_key)], step, table_size, code);\r
257 sub_key += sub_key_step;\r
258 }\r
259 step <<= 1;\r
260 sub_key_step >>= 1;\r
261 }\r
262 return (uint32_t)total_size;\r
263}\r
264\r
265uint32_t BrotliBuildSimpleHuffmanTable(HuffmanCode* table,\r
266 int root_bits,\r
267 uint16_t* val,\r
268 uint32_t num_symbols) {\r
269 uint32_t table_size = 1;\r
270 const uint32_t goal_size = 1U << root_bits;\r
271 switch (num_symbols) {\r
272 case 0:\r
273 table[0].bits = 0;\r
274 table[0].value = val[0];\r
275 break;\r
276 case 1:\r
277 table[0].bits = 1;\r
278 table[1].bits = 1;\r
279 if (val[1] > val[0]) {\r
280 table[0].value = val[0];\r
281 table[1].value = val[1];\r
282 } else {\r
283 table[0].value = val[1];\r
284 table[1].value = val[0];\r
285 }\r
286 table_size = 2;\r
287 break;\r
288 case 2:\r
289 table[0].bits = 1;\r
290 table[0].value = val[0];\r
291 table[2].bits = 1;\r
292 table[2].value = val[0];\r
293 if (val[2] > val[1]) {\r
294 table[1].value = val[1];\r
295 table[3].value = val[2];\r
296 } else {\r
297 table[1].value = val[2];\r
298 table[3].value = val[1];\r
299 }\r
300 table[1].bits = 2;\r
301 table[3].bits = 2;\r
302 table_size = 4;\r
303 break;\r
304 case 3: {\r
305 int i, k;\r
306 for (i = 0; i < 3; ++i) {\r
307 for (k = i + 1; k < 4; ++k) {\r
308 if (val[k] < val[i]) {\r
309 uint16_t t = val[k];\r
310 val[k] = val[i];\r
311 val[i] = t;\r
312 }\r
313 }\r
314 }\r
315 for (i = 0; i < 4; ++i) {\r
316 table[i].bits = 2;\r
317 }\r
318 table[0].value = val[0];\r
319 table[2].value = val[1];\r
320 table[1].value = val[2];\r
321 table[3].value = val[3];\r
322 table_size = 4;\r
323 break;\r
324 }\r
325 case 4: {\r
326 int i;\r
327 if (val[3] < val[2]) {\r
328 uint16_t t = val[3];\r
329 val[3] = val[2];\r
330 val[2] = t;\r
331 }\r
332 for (i = 0; i < 7; ++i) {\r
333 table[i].value = val[0];\r
334 table[i].bits = (uint8_t)(1 + (i & 1));\r
335 }\r
336 table[1].value = val[1];\r
337 table[3].value = val[2];\r
338 table[5].value = val[1];\r
339 table[7].value = val[3];\r
340 table[3].bits = 3;\r
341 table[7].bits = 3;\r
342 table_size = 8;\r
343 break;\r
344 }\r
345 }\r
346 while (table_size != goal_size) {\r
347 memcpy(&table[table_size], &table[0],\r
348 (size_t)table_size * sizeof(table[0]));\r
349 table_size <<= 1;\r
350 }\r
351 return goal_size;\r
352}\r
353\r
354#if defined(__cplusplus) || defined(c_plusplus)\r
355} /* extern "C" */\r
356#endif\r