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