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/*
* Copyright 2008 Free Software Foundation, Inc.
*
* This software is distributed under the terms of the GNU Public License.
* See the COPYING file in the main directory for details.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include "BitVector.h"
#include <iostream>
using namespace std;
/**
Apply a Galois polymonial to a binary seqeunce.
@param val The input sequence.
@param poly The polynomial.
@param order The order of the polynomial.
@return Single-bit result.
*/
unsigned applyPoly(uint64_t val, uint64_t poly, unsigned order)
{
uint64_t prod = val & poly;
unsigned sum = prod;
for (unsigned i=1; i<order; i++) sum ^= prod>>i;
return sum & 0x01;
}
BitVector::BitVector(const char *valString)
:Vector<char>(strlen(valString))
{
uint32_t accum = 0;
for (size_t i=0; i<size(); i++) {
accum <<= 1;
if (valString[i]=='1') accum |= 0x01;
mStart[i] = accum;
}
}
uint64_t BitVector::peekField(size_t readIndex, unsigned length) const
{
uint64_t accum = 0;
char *dp = mStart + readIndex;
assert(dp+length <= mEnd);
for (unsigned i=0; i<length; i++) {
accum = (accum<<1) | ((*dp++) & 0x01);
}
return accum;
}
uint64_t BitVector::readField(size_t& readIndex, unsigned length) const
{
const uint64_t retVal = peekField(readIndex,length);
readIndex += length;
return retVal;
}
void BitVector::fillField(size_t writeIndex, uint64_t value, unsigned length)
{
char *dpBase = mStart + writeIndex;
char *dp = dpBase + length - 1;
assert(dp < mEnd);
while (dp>=dpBase) {
*dp-- = value & 0x01;
value >>= 1;
}
}
void BitVector::writeField(size_t& writeIndex, uint64_t value, unsigned length)
{
fillField(writeIndex,value,length);
writeIndex += length;
}
void BitVector::invert()
{
for (size_t i=0; i<size(); i++) {
mStart[i] = ~mStart[i];
}
}
void BitVector::reverse8()
{
assert(size()>=8);
char tmp0 = mStart[0];
mStart[0] = mStart[7];
mStart[7] = tmp0;
char tmp1 = mStart[1];
mStart[1] = mStart[6];
mStart[6] = tmp1;
char tmp2 = mStart[2];
mStart[2] = mStart[5];
mStart[5] = tmp2;
char tmp3 = mStart[3];
mStart[3] = mStart[4];
mStart[4] = tmp3;
}
void BitVector::LSB8MSB()
{
size_t size8 = 8*(size()/8);
size_t iTop = size8 - 8;
for (size_t i=0; i<=iTop; i+=8) segment(i,8).reverse8();
}
uint64_t BitVector::syndrome(Generator& gen) const
{
gen.clear();
const char *dp = mStart;
while (dp<mEnd) gen.syndromeShift(*dp++);
return gen.state();
}
uint64_t BitVector::parity(Generator& gen) const
{
gen.clear();
const char *dp = mStart;
while (dp<mEnd) gen.encoderShift(*dp++);
return gen.state();
}
void BitVector::encode(const ViterbiR2O4& coder, BitVector& target)
{
size_t sz = size();
assert(sz*coder.iRate() == target.size());
// Build a "history" array where each element contains the full history.
uint32_t history[sz];
uint32_t accum = 0;
for (size_t i=0; i<sz; i++) {
accum = (accum<<1) | bit(i);
history[i] = accum;
}
// Look up histories in the pre-generated state table.
char *op = target.begin();
for (size_t i=0; i<sz; i++) {
unsigned index = coder.cMask() & history[i];
for (unsigned g=0; g<coder.iRate(); g++) {
*op++ = coder.stateTable(g,index);
}
}
}
unsigned BitVector::sum() const
{
unsigned sum = 0;
for (size_t i=0; i<size(); i++) sum += mStart[i] & 0x01;
return sum;
}
void BitVector::map(const unsigned *map, size_t mapSize, BitVector& dest) const
{
for (unsigned i=0; i<mapSize; i++) {
dest.mStart[i] = mStart[map[i]];
}
}
void BitVector::unmap(const unsigned *map, size_t mapSize, BitVector& dest) const
{
for (unsigned i=0; i<mapSize; i++) {
dest.mStart[map[i]] = mStart[i];
}
}
ostream& operator<<(ostream& os, const BitVector& hv)
{
for (size_t i=0; i<hv.size(); i++) {
if (hv.bit(i)) os << '1';
else os << '0';
}
return os;
}
ViterbiR2O4::ViterbiR2O4()
{
assert(mDeferral < 32);
mCoeffs[0] = 0x019;
mCoeffs[1] = 0x01b;
computeStateTables(0);
computeStateTables(1);
computeGeneratorTable();
}
void ViterbiR2O4::initializeStates()
{
for (unsigned i=0; i<mIStates; i++) clear(mSurvivors[i]);
for (unsigned i=0; i<mNumCands; i++) clear(mCandidates[i]);
}
void ViterbiR2O4::computeStateTables(unsigned g)
{
assert(g<mIRate);
for (unsigned state=0; state<mIStates; state++) {
// 0 input
uint32_t inputVal = state<<1;
mStateTable[g][inputVal] = applyPoly(inputVal, mCoeffs[g], mOrder+1);
// 1 input
inputVal |= 1;
mStateTable[g][inputVal] = applyPoly(inputVal, mCoeffs[g], mOrder+1);
}
}
void ViterbiR2O4::computeGeneratorTable()
{
for (unsigned index=0; index<mIStates*2; index++) {
mGeneratorTable[index] = (mStateTable[0][index]<<1) | mStateTable[1][index];
}
}
void ViterbiR2O4::branchCandidates()
{
// Branch to generate new input states.
const vCand *sp = mSurvivors;
for (unsigned i=0; i<mNumCands; i+=2) {
// extend and suffix
const uint32_t iState0 = (sp->iState) << 1; // input state for 0
const uint32_t iState1 = iState0 | 0x01; // input state for 1
const uint32_t oStateShifted = (sp->oState) << mIRate; // shifted output
const float cost = sp->cost;
sp++;
// 0 input extension
mCandidates[i].cost = cost;
mCandidates[i].oState = oStateShifted | mGeneratorTable[iState0 & mCMask];
mCandidates[i].iState = iState0;
// 1 input extension
mCandidates[i+1].cost = cost;
mCandidates[i+1].oState = oStateShifted | mGeneratorTable[iState1 & mCMask];
mCandidates[i+1].iState = iState1;
}
}
void ViterbiR2O4::getSoftCostMetrics(const uint32_t inSample, const float *matchCost, const float *mismatchCost)
{
const float *cTab[2] = {matchCost,mismatchCost};
for (unsigned i=0; i<mNumCands; i++) {
vCand& thisCand = mCandidates[i];
// We examine input bits 2 at a time for a rate 1/2 coder.
const unsigned mismatched = inSample ^ (thisCand.oState);
thisCand.cost += cTab[mismatched&0x01][1] + cTab[(mismatched>>1)&0x01][0];
}
}
void ViterbiR2O4::pruneCandidates()
{
const vCand* c1 = mCandidates; // 0-prefix
const vCand* c2 = mCandidates + mIStates; // 1-prefix
for (unsigned i=0; i<mIStates; i++) {
if (c1[i].cost < c2[i].cost) mSurvivors[i] = c1[i];
else mSurvivors[i] = c2[i];
}
}
const ViterbiR2O4::vCand& ViterbiR2O4::minCost() const
{
int minIndex = 0;
float minCost = mSurvivors[0].cost;
for (unsigned i=1; i<mIStates; i++) {
const float thisCost = mSurvivors[i].cost;
if (thisCost>=minCost) continue;
minCost = thisCost;
minIndex=i;
}
return mSurvivors[minIndex];
}
const ViterbiR2O4::vCand& ViterbiR2O4::step(uint32_t inSample, const float *probs, const float *iprobs)
{
branchCandidates();
getSoftCostMetrics(inSample,probs,iprobs);
pruneCandidates();
return minCost();
}
uint64_t Parity::syndrome(const BitVector& receivedCodeword)
{
return receivedCodeword.syndrome(*this);
}
void Parity::writeParityWord(const BitVector& data, BitVector& parityTarget, bool invert)
{
uint64_t pWord = data.parity(*this);
if (invert) pWord = ~pWord;
parityTarget.fillField(0,pWord,size());
}
SoftVector::SoftVector(const BitVector& source)
{
resize(source.size());
for (size_t i=0; i<size(); i++) {
if (source.bit(i)) mStart[i]=1.0F;
else mStart[i]=0.0F;
}
}
BitVector SoftVector::sliced() const
{
size_t sz = size();
BitVector newSig(sz);
for (size_t i=0; i<sz; i++) {
if (mStart[i]>0.5F) newSig[i]=1;
else newSig[i] = 0;
}
return newSig;
}
void SoftVector::decode(ViterbiR2O4 &decoder, BitVector& target) const
{
const size_t sz = size();
const unsigned deferral = decoder.deferral();
const size_t ctsz = sz + deferral;
assert(sz <= decoder.iRate()*target.size());
// Build a "history" array where each element contains the full history.
uint32_t history[ctsz];
{
BitVector bits = sliced();
uint32_t accum = 0;
for (size_t i=0; i<sz; i++) {
accum = (accum<<1) | bits.bit(i);
history[i] = accum;
}
// Repeat last bit at the end.
for (size_t i=sz; i<ctsz; i++) {
accum = (accum<<1) | (accum & 0x01);
history[i] = accum;
}
}
// Precompute metric tables.
float matchCostTable[ctsz];
float mismatchCostTable[ctsz];
{
const float *dp = mStart;
for (size_t i=0; i<sz; i++) {
// pVal is the probability that a bit is correct.
// ipVal is the probability that a bit is correct.
float pVal = dp[i];
if (pVal>0.5F) pVal = 1.0F-pVal;
float ipVal = 1.0F-pVal;
// This is a cheap approximation to an ideal cost function.
if (pVal<0.01F) pVal = 0.01;
if (ipVal<0.01F) ipVal = 0.01;
matchCostTable[i] = 0.25F/ipVal;
mismatchCostTable[i] = 0.25F/pVal;
}
// pad end of table with unknowns
for (size_t i=sz; i<ctsz; i++) {
matchCostTable[i] = 0.5F;
mismatchCostTable[i] = 0.5F;
}
}
{
decoder.initializeStates();
// Each sample of history[] carries its history.
// So we only have to process every iRate-th sample.
const unsigned step = decoder.iRate();
// input pointer
const uint32_t *ip = history + step - 1;
// output pointers
char *op = target.begin();
const char *const opt = target.end();
// table pointers
const float* match = matchCostTable;
const float* mismatch = mismatchCostTable;
size_t oCount = 0;
while (op<opt) {
// Viterbi algorithm
const ViterbiR2O4::vCand &minCost = decoder.step(*ip, match, mismatch);
ip += step;
match += step;
mismatch += step;
// output
if (oCount>=deferral) *op++ = (minCost.iState >> deferral);
oCount++;
}
}
}
ostream& operator<<(ostream& os, const SoftVector& sv)
{
for (size_t i=0; i<sv.size(); i++) {
if (sv[i]<0.25) os << "0";
else if (sv[i]>0.75) os << "1";
else os << "-";
}
return os;
}
void BitVector::pack(unsigned char* targ) const
{
// Assumes MSB-first packing.
unsigned bytes = size()/8;
for (unsigned i=0; i<bytes; i++) {
targ[i] = peekField(i*8,8);
}
unsigned whole = bytes*8;
unsigned rem = size() - whole;
if (rem==0) return;
targ[bytes] = peekField(whole,rem) << (8-rem);
}
void BitVector::unpack(const unsigned char* src)
{
// Assumes MSB-first packing.
unsigned bytes = size()/8;
for (unsigned i=0; i<bytes; i++) {
fillField(i*8,src[i],8);
}
unsigned whole = bytes*8;
unsigned rem = size() - whole;
if (rem==0) return;
fillField(whole,src[bytes],rem);
}
// vim: ts=4 sw=4
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