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/*************************************************************************
* 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;
}
}
|