Copyright (c) 2008-2009 Xiph.Org Foundation */
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#if defined(HAVE_CONFIG_H)
# include "config.h"
#endif
#include "os_support.h"
#include "arch.h"
#include "entenc.h"
#include "mfrngcod.h"
See entdec.c and the references for implementation details \cite{Mar79,MNW98}.
@INPROCEEDINGS{Mar79,
author="Martin, G.N.N.",
title="Range encoding: an algorithm for removing redundancy from a digitised
message",
booktitle="Video \& Data Recording Conference",
year=1979,
address="Southampton",
month=Jul
}
@ARTICLE{MNW98,
author="Alistair Moffat and Radford Neal and Ian H. Witten",
title="Arithmetic Coding Revisited",
journal="{ACM} Transactions on Information Systems",
year=1998,
volume=16,
number=3,
pages="256--294",
month=Jul,
URL="http://www.stanford.edu/class/ee398/handouts/papers/Moffat98ArithmCoding.pdf"
}*/
static int ec_write_byte(ec_enc *_this,unsigned _value){
if(_this->offs+_this->end_offs>=_this->storage)return -1;
_this->buf[_this->offs++]=(unsigned char)_value;
return 0;
}
static int ec_write_byte_at_end(ec_enc *_this,unsigned _value){
if(_this->offs+_this->end_offs>=_this->storage)return -1;
_this->buf[_this->storage-++(_this->end_offs)]=(unsigned char)_value;
return 0;
}
If there is a potential to propagate a carry over several symbols, they are
buffered until it can be determined whether or not an actual carry will
occur.
If the counter for the buffered symbols overflows, then the stream becomes
undecodable.
This gives a theoretical limit of a few billion symbols in a single packet on
32-bit systems.
The alternative is to truncate the range in order to force a carry, but
requires similar carry tracking in the decoder, needlessly slowing it down.*/
static void ec_enc_carry_out(ec_enc *_this,int _c){
if(_c!=EC_SYM_MAX){
int carry;
carry=_c>>EC_SYM_BITS;
This compare should be taken care of by branch-prediction thereafter.*/
if(_this->rem>=0)_this->error|=ec_write_byte(_this,_this->rem+carry);
if(_this->ext>0){
unsigned sym;
sym=(EC_SYM_MAX+carry)&EC_SYM_MAX;
do _this->error|=ec_write_byte(_this,sym);
while(--(_this->ext)>0);
}
_this->rem=_c&EC_SYM_MAX;
}
else _this->ext++;
}
static OPUS_INLINE void ec_enc_normalize(ec_enc *_this){
while(_this->rng<=EC_CODE_BOT){
ec_enc_carry_out(_this,(int)(_this->val>>EC_CODE_SHIFT));
_this->val=(_this->val<<EC_SYM_BITS)&(EC_CODE_TOP-1);
_this->rng<<=EC_SYM_BITS;
_this->nbits_total+=EC_SYM_BITS;
}
}
void ec_enc_init(ec_enc *_this,unsigned char *_buf,opus_uint32 _size){
_this->buf=_buf;
_this->end_offs=0;
_this->end_window=0;
_this->nend_bits=0;
_this->nbits_total=EC_CODE_BITS+1;
_this->offs=0;
_this->rng=EC_CODE_TOP;
_this->rem=-1;
_this->val=0;
_this->ext=0;
_this->storage=_size;
_this->error=0;
}
void ec_encode(ec_enc *_this,unsigned _fl,unsigned _fh,unsigned _ft){
opus_uint32 r;
r=celt_udiv(_this->rng,_ft);
if(_fl>0){
_this->val+=_this->rng-IMUL32(r,(_ft-_fl));
_this->rng=IMUL32(r,(_fh-_fl));
}
else _this->rng-=IMUL32(r,(_ft-_fh));
ec_enc_normalize(_this);
}
void ec_encode_bin(ec_enc *_this,unsigned _fl,unsigned _fh,unsigned _bits){
opus_uint32 r;
r=_this->rng>>_bits;
if(_fl>0){
_this->val+=_this->rng-IMUL32(r,((1U<<_bits)-_fl));
_this->rng=IMUL32(r,(_fh-_fl));
}
else _this->rng-=IMUL32(r,((1U<<_bits)-_fh));
ec_enc_normalize(_this);
}
void ec_enc_bit_logp(ec_enc *_this,int _val,unsigned _logp){
opus_uint32 r;
opus_uint32 s;
opus_uint32 l;
r=_this->rng;
l=_this->val;
s=r>>_logp;
r-=s;
if(_val)_this->val=l+r;
_this->rng=_val?s:r;
ec_enc_normalize(_this);
}
void ec_enc_icdf(ec_enc *_this,int _s,const unsigned char *_icdf,unsigned _ftb){
opus_uint32 r;
r=_this->rng>>_ftb;
if(_s>0){
_this->val+=_this->rng-IMUL32(r,_icdf[_s-1]);
_this->rng=IMUL32(r,_icdf[_s-1]-_icdf[_s]);
}
else _this->rng-=IMUL32(r,_icdf[_s]);
ec_enc_normalize(_this);
}
void ec_enc_uint(ec_enc *_this,opus_uint32 _fl,opus_uint32 _ft){
unsigned ft;
unsigned fl;
int ftb;
celt_assert(_ft>1);
_ft--;
ftb=EC_ILOG(_ft);
if(ftb>EC_UINT_BITS){
ftb-=EC_UINT_BITS;
ft=(_ft>>ftb)+1;
fl=(unsigned)(_fl>>ftb);
ec_encode(_this,fl,fl+1,ft);
ec_enc_bits(_this,_fl&(((opus_uint32)1<<ftb)-1U),ftb);
}
else ec_encode(_this,_fl,_fl+1,_ft+1);
}
void ec_enc_bits(ec_enc *_this,opus_uint32 _fl,unsigned _bits){
ec_window window;
int used;
window=_this->end_window;
used=_this->nend_bits;
celt_assert(_bits>0);
if(used+_bits>EC_WINDOW_SIZE){
do{
_this->error|=ec_write_byte_at_end(_this,(unsigned)window&EC_SYM_MAX);
window>>=EC_SYM_BITS;
used-=EC_SYM_BITS;
}
while(used>=EC_SYM_BITS);
}
window|=(ec_window)_fl<<used;
used+=_bits;
_this->end_window=window;
_this->nend_bits=used;
_this->nbits_total+=_bits;
}
void ec_enc_patch_initial_bits(ec_enc *_this,unsigned _val,unsigned _nbits){
int shift;
unsigned mask;
celt_assert(_nbits<=EC_SYM_BITS);
shift=EC_SYM_BITS-_nbits;
mask=((1<<_nbits)-1)<<shift;
if(_this->offs>0){
_this->buf[0]=(unsigned char)((_this->buf[0]&~mask)|_val<<shift);
}
else if(_this->rem>=0){
_this->rem=(_this->rem&~mask)|_val<<shift;
}
else if(_this->rng<=(EC_CODE_TOP>>_nbits)){
_this->val=(_this->val&~((opus_uint32)mask<<EC_CODE_SHIFT))|
(opus_uint32)_val<<(EC_CODE_SHIFT+shift);
}
else _this->error=-1;
}
void ec_enc_shrink(ec_enc *_this,opus_uint32 _size){
celt_assert(_this->offs+_this->end_offs<=_size);
OPUS_MOVE(_this->buf+_size-_this->end_offs,
_this->buf+_this->storage-_this->end_offs,_this->end_offs);
_this->storage=_size;
}
void ec_enc_done(ec_enc *_this){
ec_window window;
int used;
opus_uint32 msk;
opus_uint32 end;
int l;
thus far will be decoded correctly regardless of the bits that follow.*/
l=EC_CODE_BITS-EC_ILOG(_this->rng);
msk=(EC_CODE_TOP-1)>>l;
end=(_this->val+msk)&~msk;
if((end|msk)>=_this->val+_this->rng){
l++;
msk>>=1;
end=(_this->val+msk)&~msk;
}
while(l>0){
ec_enc_carry_out(_this,(int)(end>>EC_CODE_SHIFT));
end=(end<<EC_SYM_BITS)&(EC_CODE_TOP-1);
l-=EC_SYM_BITS;
}
if(_this->rem>=0||_this->ext>0)ec_enc_carry_out(_this,0);
window=_this->end_window;
used=_this->nend_bits;
while(used>=EC_SYM_BITS){
_this->error|=ec_write_byte_at_end(_this,(unsigned)window&EC_SYM_MAX);
window>>=EC_SYM_BITS;
used-=EC_SYM_BITS;
}
if(!_this->error){
OPUS_CLEAR(_this->buf+_this->offs,
_this->storage-_this->offs-_this->end_offs);
if(used>0){
if(_this->end_offs>=_this->storage)_this->error=-1;
else{
l=-l;
would corrupt the range coder data, and that's more important.*/
if(_this->offs+_this->end_offs>=_this->storage&&l<used){
window&=(1<<l)-1;
_this->error=-1;
}
_this->buf[_this->storage-_this->end_offs-1]|=(unsigned char)window;
}
}
}
}