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TWaveform.cpp
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TWaveform.cpp
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#include "TWaveform.h"
ClassImp(TWaveform);
TWaveform::TWaveform( std::vector<Double_t> fUserAmplitudes, std::vector<Double_t> fUserTimestamps) : TObject(){ // standard constructor
Init();
if(fUserAmplitudes.empty() || fUserTimestamps.empty()){
MakeZombie();
return;
}
if(fUserAmplitudes.size() != fUserTimestamps.size()){
MakeZombie();
return;
}
fTimestamps = fUserTimestamps;
fAmplitudes = fUserAmplitudes;
}
TWaveform::TWaveform( Double_t *fUserAmplitudes, Double_t *fUserTimestamps, Int_t nUserSampleLength){
//Init();
if(fUserAmplitudes==NULL || fUserTimestamps==NULL || nUserSampleLength<1){
MakeZombie();
return;
}
fTimestamps.assign(fUserTimestamps,fUserTimestamps+nUserSampleLength);
fAmplitudes.assign(fUserAmplitudes,fUserAmplitudes+nUserSampleLength);
}
TWaveform::TWaveform(const TWaveform& UserWaveform) : TObject(UserWaveform){ // copy constructor
fTimestamps = UserWaveform.fTimestamps;
fAmplitudes = UserWaveform.fAmplitudes;
fIntplConst = UserWaveform.fIntplConst;
fBaselineOffset = UserWaveform.fBaselineOffset;
kIsInterpolated = UserWaveform.kIsInterpolated;
fTimingPrecision = UserWaveform.fTimingPrecision;
}
TWaveform::~TWaveform(){
}
TWaveform TWaveform::Add(TWaveform UserAddend){
std::vector<Double_t> fSum;
std::vector<Double_t> fCommonTimestamps;
for(Int_t i=0; i<fTimestamps.size(); i++){
if(fTimestamps.at(i)>=UserAddend.fTimestamps.front() && fTimestamps.at(i)<=UserAddend.fTimestamps.back()){
Double_t fTempSum = fAmplitudes.at(i) + UserAddend.Evaluate(fTimestamps.at(i));
fSum.push_back(fTempSum);
fCommonTimestamps.push_back(fTimestamps.at(i));
}
}
return(TWaveform(fSum,fCommonTimestamps));
}
void TWaveform::CheckUserRange(Int_t &nUserStartIndex, Int_t &nUserStopIndex) const{
// check user start and stop indices
if(nUserStartIndex>nUserStopIndex) swap(nUserStartIndex,nUserStopIndex);
if(nUserStartIndex<0) nUserStartIndex = 0;
if(nUserStopIndex>(fTimestamps.size()-1)) nUserStopIndex = fTimestamps.size()-1;
}
TGraph TWaveform::Draw(){
TGraph grWaveform(fAmplitudes.size(),&fTimestamps[0],&fAmplitudes[0]);
grWaveform.SetName("grWaveform"); grWaveform.SetTitle("Waveform; time; amplitude");
return (grWaveform);
}
Double_t TWaveform::Evaluate(Double_t fUserDatum){ // evaluation of waveform at arbitrary time
Double_t fWaveformAmplitude = 0.0;
if(fUserDatum < fTimestamps.at(0) || fUserDatum > fTimestamps.at(fTimestamps.size()-1)){
cout << fUserDatum << "is out of sampled waveform range!" << endl;
return (-9999);
}
if(!kIsInterpolated) Interpolate(); // create interpolation constants
for(Int_t i=1; i<fTimestamps.size(); i++){
if((fTimestamps.at(i)-fUserDatum) > 0.0){
fWaveformAmplitude = fAmplitudes.at(i-1) + fIntplConst.at(i-1)*(fUserDatum-fTimestamps.at(i-1));
break;
}
}
return (fWaveformAmplitude);
}
void TWaveform::Export(string cUserFilename) const {
ofstream UserExportfile(cUserFilename.c_str()); // open csv file
if(UserExportfile.fail()){ // if opening fails, exit
cerr << "Failed to open " << cUserFilename << "!" << endl;
return;
}
std::vector<Double_t>::const_iterator TimestampIndex; // iterator for timestamp vector
std::vector<Double_t>::const_iterator AmplitudeIndex; // iterator for amplitude vector
for(TimestampIndex=fTimestamps.begin(), AmplitudeIndex=fAmplitudes.begin(); TimestampIndex!=fTimestamps.end(); TimestampIndex++, AmplitudeIndex++){
UserExportfile << *TimestampIndex << " , " << *AmplitudeIndex << endl; // write timestamp and amplitude to file
}
UserExportfile.close(); // close csv file
}
Double_t FindWaveformRoot(TWaveform& UserWaveform, Double_t fTargetValue, Double_t fTimeMin, Double_t fTimeMax, Double_t fPrecision, Double_t fDeltaRoot, Int_t nMaxIter){
Double_t fFcnLeft = UserWaveform.Evaluate(fTimeMin) - fTargetValue;
Double_t fIntervalLength = fTimeMax - fTimeMin;
Double_t fIntervalMidPoint;
for(Int_t i=0; i<nMaxIter; i++){
fIntervalLength *= 0.5; // shrink interval by half
fIntervalMidPoint = fTimeMin + fIntervalLength; // update interval middle point
Double_t fFcnMidPoint = UserWaveform.Evaluate(fIntervalMidPoint) - fTargetValue; // evaluate waveform at new interval midpoint
if( fabs(fIntervalLength)<fDeltaRoot || fabs(fFcnMidPoint)<fPrecision ){
//cout << i << ", " << fFcnMidPoint << ", " << fIntervalLength << ", " << fIntervalMidPoint << endl;
return (fIntervalMidPoint);
}
( (fFcnLeft>0.0 && fFcnMidPoint<0.0) || (fFcnLeft<0.0 && fFcnMidPoint>0.0) ) ? (fTimeMax=fIntervalMidPoint) : (fTimeMin=fIntervalMidPoint, fFcnLeft=fFcnMidPoint);
}
return (fIntervalMidPoint);
}
Double_t TWaveform::GetArea(Int_t nUserStartIndex, Int_t nUserStopIndex){
CheckUserRange(nUserStartIndex,nUserStopIndex);
//if(nUserStartIndex>nUserStopIndex) swap(nUserStartIndex,nUserStopIndex);
//if(nUserStartIndex<0) nUserStartIndex = 0;
//if(nUserStopIndex>(fTimestamps.size()-1)) nUserStopIndex = fTimestamps.size()-1;
Double_t fSignalArea = 0.0;
for(Int_t i=nUserStartIndex; i<nUserStopIndex; i++){
fSignalArea += fAmplitudes.at(i) * (fTimestamps.at(i+1)-fTimestamps.at(i));
}
return (fSignalArea);
}
Double_t TWaveform::GetMean(Int_t nUserStartIndex, Int_t nUserStopIndex) const{
CheckUserRange(nUserStartIndex,nUserStopIndex);
//if(nUserStartIndex>nUserStopIndex) swap(nUserStartIndex,nUserStopIndex);
//if(nUserStartIndex<0) nUserStartIndex = 0;
//if(nUserStopIndex>(fTimestamps.size()-1)) nUserStopIndex = fTimestamps.size()-1;
Double_t fAvgAmplitude = std::accumulate(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex+1,0.0);
fAvgAmplitude /= (Double_t)(nUserStopIndex-nUserStartIndex+1);
return (fAvgAmplitude);
}
Double_t TWaveform::GetNegFallTime(Double_t fUserLevelLow, Double_t fUserLevelHigh){
Double_t fEdgeLevelLow = fabs(fUserLevelLow)*GetMinAmplitude();
Double_t fEdgeLevelHigh = fabs(fUserLevelHigh)*GetMinAmplitude();
Bool_t bLowLevelDetected = kFALSE;
Bool_t bHighLevelDetected = kFALSE;
Double_t fEdgeStart = 0.0;
Double_t fEdgeStop = 0.0;
Double_t fAbsTimingPrecision;
for(std::vector<Double_t>::iterator CurrentIndex=fAmplitudes.begin()+1; CurrentIndex<fAmplitudes.end(); CurrentIndex++){ // begin of loop over all amplitude entries
if(*CurrentIndex<fEdgeLevelLow && !bLowLevelDetected){ // detect start of edge
bLowLevelDetected = kTRUE;
fAbsTimingPrecision = fTimingPrecision * (fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex))-fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1));
fEdgeStart = FindWaveformRoot(*this,fEdgeLevelLow,fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1),fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)),1.0e-6,fAbsTimingPrecision);
}
if(bLowLevelDetected && *CurrentIndex<fEdgeLevelHigh){ // detect end of edge
bHighLevelDetected = kTRUE;
fAbsTimingPrecision = fTimingPrecision * (fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex))-fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1));
fEdgeStop = FindWaveformRoot(*this,fEdgeLevelHigh,fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1),fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)),1.0e-6,fAbsTimingPrecision);
break;
}
} // end of loop over all amplitude entries
if(!bLowLevelDetected || !bHighLevelDetected){ // return error if either low or high level has not been found
return (-1.0);
}
return (fEdgeStop-fEdgeStart);
}
Double_t TWaveform::GetNegWidth(Int_t nUserStartIndex, Int_t nUserStopIndex, Double_t fUserLevel, Bool_t bIsAbsolute){
CheckUserRange(nUserStartIndex,nUserStopIndex);
Double_t fLevel = (bIsAbsolute) ? fUserLevel : GetMinAmplitude()*fabs(fUserLevel);
Int_t nLeftIndex, nRightIndex;
nLeftIndex = -1; // set left index marker to invalid value
nRightIndex = -1; // set right index marker to invalid value
std::vector<Double_t>::iterator CurrentIndex;
for(CurrentIndex=min_element(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex); CurrentIndex>=fAmplitudes.begin()+nUserStartIndex; --CurrentIndex){ // search backwards for left-hand edge
if(*CurrentIndex>fLevel){
nLeftIndex = distance(fAmplitudes.begin(),CurrentIndex); // get index of this element
break; // exit from for-loop
}
if(distance(fAmplitudes.begin(),CurrentIndex)==0){ // this is the first element
break; // exit from for loop
}
}
for(CurrentIndex=min_element(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex); CurrentIndex<fAmplitudes.begin()+nUserStopIndex; ++CurrentIndex){ // search forwards for right-hand edge
if(*CurrentIndex>fLevel){
nRightIndex = distance(fAmplitudes.begin(),CurrentIndex); // get index of this element
break; // exit from for-loop
}
if(distance(fAmplitudes.end(),CurrentIndex)==0){ // this is the last element
break; // exit from for-loop
}
}
if(nLeftIndex<0 || nRightIndex<0)
return (-1.0); // return invalid width
Double_t fAbsTimingPrecision = (fTimestamps.at(nLeftIndex+1)-fTimestamps.at(nLeftIndex)) * fTimingPrecision; // set timing precision to one per mill of sampling time interval
Double_t fLeftMarker = FindWaveformRoot(*this,fLevel,fTimestamps.at(nLeftIndex),fTimestamps.at(nLeftIndex+1),1.0e-6,fAbsTimingPrecision);
Double_t fRightMarker = FindWaveformRoot(*this,fLevel,fTimestamps.at(nRightIndex-1),fTimestamps.at(nRightIndex),1.0e-6,fAbsTimingPrecision);
Double_t fWidth = fRightMarker - fLeftMarker;
return (fWidth);
}
Double_t TWaveform::GetPosRiseTime(Double_t fUserLevelLow, Double_t fUserLevelHigh){
Double_t fEdgeLevelLow = fabs(fUserLevelLow)*GetMaxAmplitude();
Double_t fEdgeLevelHigh = fabs(fUserLevelHigh)*GetMaxAmplitude();
Bool_t bLowLevelDetected = kFALSE;
Bool_t bHighLevelDetected = kFALSE;
Double_t fEdgeStart = 0.0;
Double_t fEdgeStop = 0.0;
Double_t fAbsTimingPrecision;
for(std::vector<Double_t>::iterator CurrentIndex=fAmplitudes.begin()+1; CurrentIndex<fAmplitudes.end(); CurrentIndex++){ // begin of loop over all amplitude entries
if(*CurrentIndex>fEdgeLevelLow && !bLowLevelDetected){ // detect start of edge
bLowLevelDetected = kTRUE;
fAbsTimingPrecision = fTimingPrecision * (fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex))-fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1));
fEdgeStart = FindWaveformRoot(*this,fEdgeLevelLow,fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1),fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)),1.0e-6,fAbsTimingPrecision);
}
if(bLowLevelDetected && *CurrentIndex>fEdgeLevelHigh){ // detect end of edge
bHighLevelDetected = kTRUE;
fAbsTimingPrecision = fTimingPrecision * (fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex))-fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1));
fEdgeStop = FindWaveformRoot(*this,fEdgeLevelHigh,fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)-1),fTimestamps.at(distance(fAmplitudes.begin(),CurrentIndex)),1.0e-6,fAbsTimingPrecision);
break;
}
} // end of loop over all amplitude entries
if(!bLowLevelDetected || !bHighLevelDetected){ // return error if either low or high level has not been found
return (-1.0);
}
return (fEdgeStop-fEdgeStart);
}
Double_t TWaveform::GetPosWidth(Int_t nUserStartIndex, Int_t nUserStopIndex, Double_t fUserLevel){
CheckUserRange(nUserStartIndex,nUserStopIndex);
Double_t fLevel = GetMaxAmplitude()*fabs(fUserLevel);
Int_t nLeftIndex, nRightIndex;
nLeftIndex = -1; // set left index marker to invalid value
nRightIndex = -1; // set right index marker to invalid value
std::vector<Double_t>::iterator CurrentIndex;
for(CurrentIndex=max_element(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex); CurrentIndex>=fAmplitudes.begin()+nUserStartIndex; CurrentIndex--){ // search backwards for left-hand edge
if(*CurrentIndex<fLevel){
nLeftIndex = distance(fAmplitudes.begin(),CurrentIndex); // get index of this element
break; // exit from for-loop
}
}
for(CurrentIndex=max_element(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex); CurrentIndex<fAmplitudes.begin()+nUserStopIndex; CurrentIndex++){ // search forwards for right-hand edge
if(*CurrentIndex<fLevel){
nRightIndex = distance(fAmplitudes.begin(),CurrentIndex); // get index of this element
break; // exit from for-loop
}
}
if(nLeftIndex<0 || nRightIndex<0)
return (-1.0); // return invalid width
Double_t fAbsTimingPrecision = (fTimestamps.at(nLeftIndex+1)-fTimestamps.at(nLeftIndex)) * fTimingPrecision; // set timing precision to one per mill of sampling time interval
Double_t fLeftMarker = FindWaveformRoot(*this,fLevel,fTimestamps.at(nLeftIndex),fTimestamps.at(nLeftIndex+1),1.0e-6,fAbsTimingPrecision);
Double_t fRightMarker = FindWaveformRoot(*this,fLevel,fTimestamps.at(nRightIndex-1),fTimestamps.at(nRightIndex),1.0e-6,fAbsTimingPrecision);
Double_t fWidth = fRightMarker - fLeftMarker;
return (fWidth);
}
Double_t TWaveform::GetRMS(Int_t nUserStartIndex, Int_t nUserStopIndex) const{
CheckUserRange(nUserStartIndex,nUserStopIndex);
Double_t fTotSum2 = std::inner_product(fAmplitudes.begin()+nUserStartIndex,fAmplitudes.begin()+nUserStopIndex+1,fAmplitudes.begin()+nUserStartIndex,0.0);
Double_t fLength = (Double_t)(nUserStopIndex-nUserStartIndex+1);
Double_t fMean = GetMean(nUserStartIndex,nUserStopIndex);
Double_t fRms = sqrt(fabs(fTotSum2/fLength - fMean*fMean));
return (fRms);
}
Int_t TWaveform::GetTimestampIndex(Double_t fUserDate){
if(fUserDate<fTimestamps.front() || fUserDate>fTimestamps.back()){
return (-1);
}
Int_t nNearestTimestampIndex = 0;
Double_t fTimeGap = fabs(fTimestamps.at(0)-fUserDate);
for(Int_t i=1; i<fTimestamps.size(); i++){
Double_t fTempTimeGap = fabs(fTimestamps.at(i)-fUserDate);
if(fTempTimeGap<fTimeGap){
fTimeGap = fTempTimeGap;
nNearestTimestampIndex = i;
}
}
return (nNearestTimestampIndex);
}
void TWaveform::Init(){
fBaselineOffset = 0.0;
kIsInterpolated = kFALSE;
fTimingPrecision = 0.001;
}
void TWaveform::Interpolate(){ // interpolation algorithm goes here...
// do linear intrepolation for the moment
// we will need to compute n-1 parameters
for(Int_t i=0; i<fAmplitudes.size()-1; i++){
Double_t fSlope = (fAmplitudes.at(i+1) - fAmplitudes.at(i)) / (fTimestamps.at(i+1) - fTimestamps.at(i));
fIntplConst.push_back(fSlope);
}
kIsInterpolated = kTRUE;
}
void TWaveform::Invert(){
if(kIsInterpolated){ // delete interpolation parameters
fIntplConst.clear();
}
kIsInterpolated = kFALSE;
for(Int_t i=0; i<fAmplitudes.size(); i++){
fAmplitudes.at(i) = fAmplitudes.at(i) * -1.0;
}
}
TWaveform TWaveform::MovingAverageFilter(Int_t nUserWindowSize){
std::vector<Double_t> fFilteredAmplitudes;
fFilteredAmplitudes.reserve(fTimestamps.size());
std::vector<Double_t> fFilteredTimestamps;
fFilteredTimestamps.reserve(fTimestamps.size());
Double_t fTempAmpAccumulator = 0.0;
Double_t fTempTimeAccumulator = 0.0;
// +++ compute first filtered data point +++
fTempAmpAccumulator = std::accumulate(fAmplitudes.begin(),fAmplitudes.begin()+nUserWindowSize,0.0);
fFilteredAmplitudes.push_back(fTempAmpAccumulator/(Double_t)nUserWindowSize);
fFilteredTimestamps.push_back(fTimestamps.at(0));
// +++ now filter remaining waveform +++
for(Int_t i=1; i<fAmplitudes.size()-nUserWindowSize+1; i++){
fTempAmpAccumulator += fAmplitudes.at(i+nUserWindowSize-1) - fAmplitudes.at(i-1);
fFilteredAmplitudes.push_back(fTempAmpAccumulator/(Double_t)nUserWindowSize);
fFilteredTimestamps.push_back(fTimestamps.at(i));
}
return (TWaveform(fFilteredAmplitudes,fFilteredTimestamps));
}
TWaveform& TWaveform::operator=(const TWaveform& UserWaveform){
if(this != &UserWaveform){
TObject::operator=(UserWaveform);
fTimestamps = UserWaveform.fTimestamps;
fAmplitudes = UserWaveform.fAmplitudes;
fIntplConst = UserWaveform.fIntplConst;
fBaselineOffset = UserWaveform.fBaselineOffset;
kIsInterpolated = UserWaveform.kIsInterpolated;
fTimingPrecision = UserWaveform.fTimingPrecision;
}
return *this;
}
void TWaveform::Scale(Double_t fUserScaleFactor){
for(Int_t i=0; i<fAmplitudes.size(); i++){
fAmplitudes.at(i) *= fabs(fUserScaleFactor);
}
if(kIsInterpolated){
fIntplConst.clear(); // delete interpolation parameters
Interpolate(); // generate new interpolation parameters
}
}
void TWaveform::ScaleTimestamps(Double_t fUserScaleFactor){
for(Int_t i=0; i<fTimestamps.size(); i++){
fTimestamps.at(i) *= fabs(fUserScaleFactor);
}
if(kIsInterpolated){
fIntplConst.clear(); // delete interpolation parameters
Interpolate(); // generate new interpolation parameters
}
}
void TWaveform::ShiftBaseline(Double_t fUserOffset){
fBaselineOffset = fUserOffset;
for(Int_t i=0; i<fAmplitudes.size(); i++){
fAmplitudes.at(i) -= fBaselineOffset;
}
if(kIsInterpolated){
fIntplConst.clear(); // delete interpolation parameters
Interpolate(); // generate new interpolation parameters
}
}
void TWaveform::ShiftTimestamps(Double_t fUserDelay){
for(Int_t i=0; i<fTimestamps.size(); i++){
fTimestamps.at(i) += fUserDelay;
}
if(kIsInterpolated){
fIntplConst.clear(); // delete interpolation parameters
Interpolate(); // generate new interpolation parameters
}
}