1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
|
/*************************************************************************
* Name: huffman.c
* Author: Marcus Geelnard
* Description: Huffman coder/decoder implementation.
* Reentrant: Yes
*
* This is a very straight forward implementation of a Huffman coder and
* decoder.
*
* Primary flaws with this primitive implementation are:
* - Slow bit stream implementation
* - Maximum tree depth of 32 (the coder aborts if any code exceeds a
* size of 32 bits). If I'm not mistaking, this should not be possible
* unless the input buffer is larger than 2^32 bytes, which is not
* supported by the coder anyway (max 2^32-1 bytes can be specified with
* an unsigned 32-bit integer).
*
* On the other hand, there are a few advantages of this implementation:
* - The Huffman tree is stored in a very compact form, requiring only
* 10 bits per symbol (for 8 bit symbols), meaning a maximum of 320
* bytes overhead.
* - The code should be fairly easy to follow, if you are familiar with
* how the Huffman compression algorithm works.
*
* Possible improvements (probably not worth it):
* - Partition the input data stream into blocks, where each block has
* its own Huffman tree. With variable block sizes, it should be
* possible to find locally optimal Huffman trees, which in turn could
* reduce the total size.
* - Allow for a few different predefined Huffman trees, which could
* reduce the size of a block even further.
*-------------------------------------------------------------------------
* Copyright (c) 2003-2006 Marcus Geelnard
*
* This software is provided 'as-is', without any express or implied
* warranty. In no event will the authors be held liable for any damages
* arising from the use of this software.
*
* Permission is granted to anyone to use this software for any purpose,
* including commercial applications, and to alter it and redistribute it
* freely, subject to the following restrictions:
*
* 1. The origin of this software must not be misrepresented; you must not
* claim that you wrote the original software. If you use this software
* in a product, an acknowledgment in the product documentation would
* be appreciated but is not required.
*
* 2. Altered source versions must be plainly marked as such, and must not
* be misrepresented as being the original software.
*
* 3. This notice may not be removed or altered from any source
* distribution.
*
* Marcus Geelnard
* marcus.geelnard at home.se
*************************************************************************/
/*************************************************************************
* Types used for Huffman coding
*************************************************************************/
typedef struct {
unsigned char *BytePtr;
unsigned int BitPos;
} huff_bitstream_t;
typedef struct {
int Symbol;
unsigned int Count;
unsigned int Code;
unsigned int Bits;
} huff_sym_t;
typedef struct huff_encodenode_struct huff_encodenode_t;
struct huff_encodenode_struct {
huff_encodenode_t *ChildA, *ChildB;
int Count;
int Symbol;
};
typedef struct huff_decodenode_struct huff_decodenode_t;
struct huff_decodenode_struct {
huff_decodenode_t *ChildA, *ChildB;
int Symbol;
};
/*************************************************************************
* Constants for Huffman decoding
*************************************************************************/
/* The maximum number of nodes in the Huffman tree is 2^(8+1)-1 = 511 */
#define MAX_TREE_NODES 511
/*************************************************************************
* _Huffman_InitBitstream() - Initialize a bitstream.
*************************************************************************/
static void _Huffman_InitBitstream( huff_bitstream_t *stream,
unsigned char *buf )
{
stream->BytePtr = buf;
stream->BitPos = 0;
}
/*************************************************************************
* _Huffman_ReadBit() - Read one bit from a bitstream.
*************************************************************************/
static unsigned int _Huffman_ReadBit( huff_bitstream_t *stream )
{
unsigned int x, bit;
unsigned char *buf;
/* Get current stream state */
buf = stream->BytePtr;
bit = stream->BitPos;
/* Extract bit */
x = (*buf & (1<<(7-bit))) ? 1 : 0;
bit = (bit+1) & 7;
if ( !bit )
{
++ buf;
}
/* Store new stream state */
stream->BitPos = bit;
stream->BytePtr = buf;
return x;
}
/*************************************************************************
* _Huffman_Read8Bits() - Read eight bits from a bitstream.
*************************************************************************/
static unsigned int _Huffman_Read8Bits( huff_bitstream_t *stream )
{
unsigned int x, bit;
unsigned char *buf;
/* Get current stream state */
buf = stream->BytePtr;
bit = stream->BitPos;
/* Extract byte */
x = (*buf << bit) | (buf[1] >> (8-bit));
++ buf;
/* Store new stream state */
stream->BytePtr = buf;
return x;
}
/*************************************************************************
* _Huffman_WriteBits() - Write bits to a bitstream.
*************************************************************************/
#ifdef HUFFMAN_ENCODE
static void _Huffman_WriteBits( huff_bitstream_t *stream, unsigned int x,
unsigned int bits )
{
unsigned int bit, count;
unsigned char *buf;
unsigned int mask;
/* Get current stream state */
buf = stream->BytePtr;
bit = stream->BitPos;
/* Append bits */
mask = 1 << (bits-1);
for ( count = 0; count < bits; ++ count )
{
*buf = (unsigned char)((*buf & (0xff^(1<<(7-bit)))) +
((x & mask ? 1 : 0) << (7-bit)));
x <<= 1;
bit = (bit+1) & 7;
if ( !bit )
{
++ buf;
}
}
/* Store new stream state */
stream->BytePtr = buf;
stream->BitPos = bit;
}
#endif
/*************************************************************************
* _Huffman_Hist() - Calculate (sorted) histogram for a block of data.
*************************************************************************/
#ifdef HUFFMAN_ENCODE
static void _Huffman_Hist( unsigned char *in, huff_sym_t *sym,
unsigned int size )
{
int k;
/* Clear/init histogram */
for ( k = 0; k < 256; ++ k )
{
sym[k].Symbol = k;
sym[k].Count = 0;
sym[k].Code = 0;
sym[k].Bits = 0;
}
/* Build histogram */
for ( k = size; k; -- k )
{
sym[*in ++].Count ++;
}
}
#endif
/*************************************************************************
* _Huffman_StoreTree() - Store a Huffman tree in the output stream and
* in a look-up-table (a symbol array).
*************************************************************************/
#ifdef HUFFMAN_ENCODE
static void _Huffman_StoreTree( huff_encodenode_t *node, huff_sym_t *sym,
huff_bitstream_t *stream, unsigned int code, unsigned int bits )
{
unsigned int sym_idx;
/* Is this a leaf node? */
if ( node->Symbol >= 0 )
{
/* Append symbol to tree description */
_Huffman_WriteBits( stream, 1, 1 );
_Huffman_WriteBits( stream, node->Symbol, 8 );
/* Find symbol index */
for ( sym_idx = 0; sym_idx < 256; ++ sym_idx )
{
if ( sym[sym_idx].Symbol == node->Symbol ) break;
}
/* Store code info in symbol array */
sym[sym_idx].Code = code;
sym[sym_idx].Bits = bits;
return;
}
else
{
/* This was not a leaf node */
_Huffman_WriteBits( stream, 0, 1 );
}
/* Branch A */
_Huffman_StoreTree( node->ChildA, sym, stream, (code<<1)+0, bits+1 );
/* Branch B */
_Huffman_StoreTree( node->ChildB, sym, stream, (code<<1)+1, bits+1 );
}
#endif
/*************************************************************************
* _Huffman_MakeTree() - Generate a Huffman tree.
*************************************************************************/
#ifdef HUFFMAN_ENCODE
static void _Huffman_MakeTree( huff_sym_t *sym, huff_bitstream_t *stream )
{
huff_encodenode_t nodes[MAX_TREE_NODES], *node_1, *node_2, *root;
unsigned int k, num_symbols, nodes_left, next_idx;
/* Initialize all leaf nodes */
num_symbols = 0;
for ( k = 0; k < 256; ++ k )
{
if ( sym[k].Count > 0 )
{
nodes[num_symbols].Symbol = sym[k].Symbol;
nodes[num_symbols].Count = sym[k].Count;
nodes[num_symbols].ChildA = (huff_encodenode_t *) 0;
nodes[num_symbols].ChildB = (huff_encodenode_t *) 0;
++ num_symbols;
}
}
/* Build tree by joining the lightest nodes until there is only
one node left (the root node). */
root = (huff_encodenode_t *) 0;
nodes_left = num_symbols;
next_idx = num_symbols;
while ( nodes_left > 1 )
{
/* Find the two lightest nodes */
node_1 = (huff_encodenode_t *) 0;
node_2 = (huff_encodenode_t *) 0;
for ( k = 0; k < next_idx; ++ k )
{
if ( nodes[k].Count > 0 )
{
if ( !node_1 || (nodes[k].Count <= node_1->Count))
{
node_2 = node_1;
node_1 = &nodes[k];
}
else if ( !node_2 || (nodes[k].Count <= node_2->Count))
{
node_2 = &nodes[k];
}
}
}
/* Join the two nodes into a new parent node */
root = &nodes[next_idx];
root->ChildA = node_1;
root->ChildB = node_2;
root->Count = node_1->Count + node_2->Count;
root->Symbol = -1;
node_1->Count = 0;
node_2->Count = 0;
++ next_idx;
-- nodes_left;
}
/* Store the tree in the output stream, and in the sym[] array (the
latter is used as a look-up-table for faster encoding) */
if ( root )
{
_Huffman_StoreTree( root, sym, stream, 0, 0 );
}
else
{
/* Special case: only one symbol => no binary tree */
root = &nodes[0];
_Huffman_StoreTree( root, sym, stream, 0, 1 );
}
}
#endif
/*************************************************************************
* _Huffman_RecoverTree() - Recover a Huffman tree from a bitstream.
*************************************************************************/
static huff_decodenode_t * _Huffman_RecoverTree( huff_decodenode_t *nodes,
huff_bitstream_t *stream, unsigned int *nodenum )
{
huff_decodenode_t * this_node;
/* Pick a node from the node array */
this_node = &nodes[*nodenum];
*nodenum = *nodenum + 1;
/* Clear the node */
this_node->Symbol = -1;
this_node->ChildA = (huff_decodenode_t *) 0;
this_node->ChildB = (huff_decodenode_t *) 0;
/* Is this a leaf node? */
if ( _Huffman_ReadBit( stream ))
{
/* Get symbol from tree description and store in lead node */
this_node->Symbol = _Huffman_Read8Bits( stream );
return this_node;
}
/* Get branch A */
this_node->ChildA = _Huffman_RecoverTree( nodes, stream, nodenum );
/* Get branch B */
this_node->ChildB = _Huffman_RecoverTree( nodes, stream, nodenum );
return this_node;
}
/*************************************************************************
* PUBLIC FUNCTIONS *
*************************************************************************/
/*************************************************************************
* Huffman_Compress() - Compress a block of data using a Huffman coder.
* in - Input (uncompressed) buffer.
* out - Output (compressed) buffer. This buffer must be 384 bytes
* larger than the input buffer.
* insize - Number of input bytes.
* The function returns the size of the compressed data.
*************************************************************************/
#ifdef HUFFMAN_ENCODE
int Huffman_Compress( unsigned char *in, unsigned char *out,
unsigned int insize )
{
huff_sym_t sym[256], tmp;
huff_bitstream_t stream;
unsigned int k, total_bytes, swaps, symbol;
/* Do we have anything to compress? */
if ( insize < 1 ) return 0;
/* Initialize bitstream */
_Huffman_InitBitstream( &stream, out );
/* Calculate and sort histogram for input data */
_Huffman_Hist( in, sym, insize );
/* Build Huffman tree */
_Huffman_MakeTree( sym, &stream );
/* Sort histogram - first symbol first (bubble sort) */
do
{
swaps = 0;
for ( k = 0; k < 255; ++ k )
{
if ( sym[k].Symbol > sym[k+1].Symbol )
{
tmp = sym[k];
sym[k] = sym[k+1];
sym[k+1] = tmp;
swaps = 1;
}
}
}
while ( swaps );
/* Encode input stream */
for ( k = 0; k < insize; ++ k )
{
symbol = in[k];
_Huffman_WriteBits( &stream, sym[symbol].Code,
sym[symbol].Bits );
}
/* Calculate size of output data */
total_bytes = (int)(stream.BytePtr - out);
if ( stream.BitPos > 0 )
{
++ total_bytes;
}
return total_bytes;
}
#endif
/*************************************************************************
* Huffman_Uncompress() - Uncompress a block of data using a Huffman
* decoder.
* in - Input (compressed) buffer.
* out - Output (uncompressed) buffer. This buffer must be large
* enough to hold the uncompressed data.
* insize - Number of input bytes.
* outsize - Number of output bytes.
*************************************************************************/
void Huffman_Uncompress( unsigned char *in, unsigned char *out,
unsigned int insize, unsigned int outsize )
{
huff_decodenode_t nodes[MAX_TREE_NODES], *root, *node;
huff_bitstream_t stream;
unsigned int k, node_count;
unsigned char *buf;
/* Do we have anything to decompress? */
if ( insize < 1 ) return;
/* Initialize bitstream */
_Huffman_InitBitstream( &stream, in );
/* Recover Huffman tree */
node_count = 0;
root = _Huffman_RecoverTree( nodes, &stream, &node_count );
/* Decode input stream */
buf = out;
for ( k = 0; k < outsize; ++ k )
{
/* Traverse tree until we find a matching leaf node */
node = root;
while ( node->Symbol < 0 )
{
/* Get next node */
if ( _Huffman_ReadBit( &stream ))
node = node->ChildB;
else
node = node->ChildA;
}
/* We found the matching leaf node and have the symbol */
*buf ++ = (unsigned char) node->Symbol;
}
}
|