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diff --git a/src/LauDecayTimePdf.cc b/src/LauDecayTimePdf.cc
index b0752e1..942c583 100644
--- a/src/LauDecayTimePdf.cc
+++ b/src/LauDecayTimePdf.cc
@@ -1,1412 +1,1417 @@
/*
Copyright 2006 University of Warwick
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
/*
Laura++ package authors:
John Back
Paul Harrison
Thomas Latham
*/
/*! \file LauDecayTimePdf.cc
\brief File containing implementation of LauDecayTimePdf class.
*/
#include <iostream>
#include <vector>
using std::cout;
using std::cerr;
using std::endl;
#include <complex>
using std::complex;
#include "TMath.h"
#include "TRandom.h"
#include "TSystem.h"
#include "TH1.h"
#include "RooMath.h"
#include "Lau1DCubicSpline.hh"
#include "Lau1DHistPdf.hh"
#include "LauConstants.hh"
#include "LauComplex.hh"
#include "LauDecayTimePdf.hh"
#include "LauFitDataTree.hh"
#include "LauParameter.hh"
#include "LauRandom.hh"
ClassImp(LauDecayTimePdf)
LauDecayTimePdf::LauDecayTimePdf(const TString& theVarName, const TString& theVarErrName, const std::vector<LauAbsRValue*>& params,
Double_t minAbscissaVal, Double_t maxAbscissaVal,
Double_t minAbscissaErr, Double_t maxAbscissaErr,
FuncType type, UInt_t nGauss, const std::vector<Bool_t>& scale, const TimeMeasurementMethod method, const EfficiencyMethod effMethod) :
varName_(theVarName),
varErrName_(theVarErrName),
param_(params),
smear_(kTRUE),
minAbscissa_(minAbscissaVal),
maxAbscissa_(maxAbscissaVal),
minAbscissaError_(minAbscissaErr),
maxAbscissaError_(maxAbscissaErr),
abscissaError_(0.0),
abscissaErrorGenerated_(kFALSE),
errorDistMPV_(0.230), // for signal 0.234, for qqbar 0.286
errorDistSigma_(0.075), // for signal 0.073, for qqbar 0.102
nGauss_(nGauss),
mean_(nGauss_,0),
sigma_(nGauss_,0),
frac_(nGauss_-1,0),
tau_(0),
deltaM_(0),
deltaGamma_(0),
fracPrompt_(0),
type_(type),
method_(method),
effMethod_(effMethod),
scaleMeans_(scale),
scaleWidths_(scale),
expTerm_(0.0),
cosTerm_(0.0),
sinTerm_(0.0),
coshTerm_(0.0),
sinhTerm_(0.0),
normTermExp_(0.0),
normTermCosh_(0.0),
normTermSinh_(0.0),
errTerm_(0.0),
pdfTerm_(0.0),
effiTerm_(0.0),
state_(Good),
errHist_(nullptr),
pdfHist_(nullptr),
effiFun_(nullptr),
effiHist_(nullptr),
effiPars_(0)
{
this->initialise();
// Calculate the integrals of the decay time independent of the t
// TODO - this is almost certainly the wrong place to do this
switch(effMethod)
{
case EfficiencyMethod::Binned: break;
default:
this->calcNorm();
break;
}
}
LauDecayTimePdf::LauDecayTimePdf(const TString& theVarName, const TString& theVarErrName, const std::vector<LauAbsRValue*>& params,
Double_t minAbscissaVal, Double_t maxAbscissaVal,
Double_t minAbscissaErr, Double_t maxAbscissaErr,
FuncType type, UInt_t nGauss, const std::vector<Bool_t>& scaleMeans, const std::vector<Bool_t>& scaleWidths, const TimeMeasurementMethod method, const EfficiencyMethod effMethod) :
varName_(theVarName),
varErrName_(theVarErrName),
param_(params),
smear_(kTRUE),
minAbscissa_(minAbscissaVal),
maxAbscissa_(maxAbscissaVal),
minAbscissaError_(minAbscissaErr),
maxAbscissaError_(maxAbscissaErr),
abscissaError_(0.0),
abscissaErrorGenerated_(kFALSE),
errorDistMPV_(0.230), // for signal 0.234, for qqbar 0.286
errorDistSigma_(0.075), // for signal 0.073, for qqbar 0.102
nGauss_(nGauss),
mean_(nGauss_,0),
sigma_(nGauss_,0),
frac_(nGauss_-1,0),
tau_(0),
deltaM_(0),
deltaGamma_(0),
fracPrompt_(0),
type_(type),
method_(method),
effMethod_(effMethod),
scaleMeans_(scaleMeans),
scaleWidths_(scaleWidths),
expTerm_(0.0),
cosTerm_(0.0),
sinTerm_(0.0),
coshTerm_(0.0),
sinhTerm_(0.0),
normTermExp_(0.0),
normTermCosh_(0.0),
normTermSinh_(0.0),
errTerm_(0.0),
pdfTerm_(0.0),
effiTerm_(0.0),
state_(Good),
errHist_(nullptr),
pdfHist_(nullptr),
effiFun_(nullptr),
effiHist_(nullptr),
effiPars_(0)
{
this->initialise();
// Calculate the integrals of the decay time independent of the t
// TODO - this is almost certainly the wrong place to do this
switch(effMethod)
{
case EfficiencyMethod::Binned: break;
default:
this->calcNorm();
break;
}
}
LauDecayTimePdf::~LauDecayTimePdf()
{
// Destructor
delete errHist_; errHist_ = nullptr;
delete pdfHist_; pdfHist_ = nullptr;
delete effiFun_; effiFun_ = nullptr;
delete effiHist_; effiHist_ = nullptr;
for( auto& par : effiPars_ ){ delete par; par = nullptr; }
effiPars_.clear();
}
void LauDecayTimePdf::initialise()
{
// The parameters are:
// - the mean and the sigma (bias and spread in resolution) of the gaussian(s)
// - the mean lifetime, denoted tau, of the exponential decay
// - the frequency of oscillation, denoted Delta m, of the cosine and sine terms
// - the decay width difference, denoted Delta Gamma, of the hyperbolic cosine and sine terms
//
// The next two arguments specify the range in which the PDF is defined,
// and the PDF will be normalised w.r.t. these limits.
//
// The final three arguments define the type of Delta t PDF (Delta, Exp, ExpTrig or ExpHypTrig ), the number of gaussians
// and whether or not the gaussian parameters should be scaled by the per-event errors on Delta t
// First check whether the scale vector is nGauss in size
if (nGauss_ != scaleMeans_.size() || nGauss_ != scaleWidths_.size()) {
cerr<<"ERROR in LauDecayTimePdf::initialise : scale vector size not the same as nGauss."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
if (type_ == Hist){
if (this->nParameters() != 0){
cerr<<"ERROR in LauDecayTimePdf::initialise : Hist PDF should have 0 parameters"<<endl;
gSystem->Exit(EXIT_FAILURE);
}
}else{
TString meanName("mean_");
TString sigmaName("sigma_");
TString fracName("frac_");
Bool_t foundParams(kTRUE);
for (UInt_t i(0); i<nGauss_; ++i) {
TString tempName(meanName); tempName += i;
TString tempName2(sigmaName); tempName2 += i;
TString tempName3(fracName); tempName3 += i;
mean_[i] = this->findParameter(tempName);
foundParams &= (mean_[i] != 0);
sigma_[i] = this->findParameter(tempName2);
foundParams &= (sigma_[i] != 0);
if (i!=0) {
frac_[i-1] = this->findParameter(tempName3);
foundParams &= (frac_[i-1] != 0);
}
}
if (type_ == Delta) {
if ((this->nParameters() != (3*nGauss_-1)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : Delta type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == Exp) {
tau_ = this->findParameter("tau");
foundParams &= (tau_ != 0);
if ((this->nParameters() != (3*nGauss_-1+1)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : Exp type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == ExpTrig) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
if ((this->nParameters() != (3*nGauss_-1+2)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : ExpTrig type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == ExpHypTrig) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
deltaGamma_ = this->findParameter("deltaGamma");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
foundParams &= (deltaGamma_ != 0);
if ((this->nParameters() != (3*nGauss_-1+3)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : ExpHypTrig type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
cerr<<" - the width difference: \"deltaGamma\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == DeltaExp) {
tau_ = this->findParameter("tau");
fracPrompt_ = this->findParameter("frac_prompt");
foundParams &= (tau_ != 0);
foundParams &= (fracPrompt_ != 0);
if ((this->nParameters() != (3*nGauss_-1+2)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : DeltaExp type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the fraction of the prompt part: \"frac_prompt\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == SimFitNormBd) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
if ((this->nParameters() != (3*nGauss_-1+2)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : SimFitNormBd type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == SimFitSigBd) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
if ((this->nParameters() != (3*nGauss_-1+2)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : SimFitSigBd type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == SimFitNormBs) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
deltaGamma_ = this->findParameter("deltaGamma");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
foundParams &= (deltaGamma_ != 0);
if ((this->nParameters() != (3*nGauss_-1+3)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : SimFitNormBs type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
cerr<<" - the width difference: \"deltaGamma\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
} else if (type_ == SimFitSigBs) {
tau_ = this->findParameter("tau");
deltaM_ = this->findParameter("deltaM");
deltaGamma_ = this->findParameter("deltaGamma");
foundParams &= (tau_ != 0);
foundParams &= (deltaM_ != 0);
foundParams &= (deltaGamma_ != 0);
if ((this->nParameters() != (3*nGauss_-1+3)) || (!foundParams)) {
cerr<<"ERROR in LauDecayTimePdf::initialise : SimFitSigBs type PDF requires:"<<endl;
cerr<<" - 2 parameters per Gaussian (i): \"mean_i\" and \"sigma_i\""<<endl;
cerr<<" - nGauss-1 fractions: \"frac_i\", where i!=0"<<endl;
cerr<<" - the lifetime of the exponential decay: \"tau\""<<endl;
cerr<<" - the oscillation frequency: \"deltaM\"."<<endl;
cerr<<" - the width difference: \"deltaGamma\"."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
}
}
// Cache the normalisation factor
//this->calcNorm();
}
Double_t LauDecayTimePdf::effectiveResolution(void)
{
Double_t dilution = 0.;
Double_t dMSq = deltaM_->value() * deltaM_->value();
// Might be cleaner to just append this to the vector in the init step,
// the the consistency can also be checked
Double_t fracSum = 0;
for (auto f : frac_) fracSum += f->value();
Double_t lastFrac = 1. - fracSum;
for (size_t i = 0; i < sigma_.size(); i++) {
Double_t sigSq = sigma_[i]->value() * sigma_[i]->value();
Double_t thisFrac = lastFrac;
if (i < sigma_.size() - 1) thisFrac = frac_[i]->value();
dilution += thisFrac * TMath::Exp(-dMSq * sigSq / 2.);
}
return TMath::Sqrt(-2. * TMath::Log(dilution)) / deltaM_->value();
}
void LauDecayTimePdf::cacheInfo(const LauFitDataTree& inputData)
{
Bool_t hasBranch = inputData.haveBranch(this->varName());
if (!hasBranch) {
cerr<<"ERROR in LauDecayTimePdf::cacheInfo : Input data does not contain variable \""<<this->varName()<<"\"."<<endl;
return;
}
hasBranch = inputData.haveBranch(this->varErrName());
if (!hasBranch) {
cerr<<"ERROR in LauDecayTimePdf::cacheInfo : Input data does not contain variable \""<<this->varErrName()<<"\"."<<endl;
return;
}
// Pass the data to the decay-time error PDF for caching
if ( errHist_ ) {
errHist_->cacheInfo(inputData);
}
if (type_ == Hist){
// Pass the data to the decay-time PDF for caching
if ( pdfHist_ ) {
pdfHist_->cacheInfo(inputData);
}
}else{
// determine whether we are caching our PDF value
//TODO
//Bool_t doCaching( this->nFixedParameters() == this->nParameters() );
//this->cachePDF( doCaching );
// clear the vectors and reserve enough space
const UInt_t nEvents = inputData.nEvents();
abscissas_.clear(); abscissas_.reserve(nEvents);
abscissaErrors_.clear(); abscissaErrors_.reserve(nEvents);
expTerms_.clear(); expTerms_.reserve(nEvents);
cosTerms_.clear(); cosTerms_.reserve(nEvents);
sinTerms_.clear(); sinTerms_.reserve(nEvents);
coshTerms_.clear(); coshTerms_.reserve(nEvents);
sinhTerms_.clear(); sinhTerms_.reserve(nEvents);
normTermsExp_.clear(); normTermsExp_.reserve(nEvents);
normTermsCosh_.clear(); normTermsCosh_.reserve(nEvents);
normTermsSinh_.clear(); normTermsSinh_.reserve(nEvents);
effiTerms_.clear(); effiTerms_.reserve(nEvents);
for (UInt_t iEvt = 0; iEvt < nEvents; iEvt++) {
const LauFitData& dataValues = inputData.getData(iEvt);
LauFitData::const_iterator iter = dataValues.find(this->varName());
const Double_t abscissa = iter->second;
if (abscissa > this->maxAbscissa() || abscissa < this->minAbscissa()) {
cerr<<"ERROR in LauDecayTimePdf::cacheInfo : Given value of the decay time: "<<abscissa<<
" outside allowed range: ["<<this->minAbscissa()<<","<<this->maxAbscissa()<<"]."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
abscissas_.push_back( abscissa );
iter = dataValues.find(this->varErrName());
Double_t abscissaErr = iter->second;
if (abscissaErr > this->maxAbscissaError() || abscissaErr < this->minAbscissaError()) {
cerr<<"ERROR in LauDecayTimePdf::cacheInfo : Given value of the decay-time error: "<<abscissaErr<<
" outside allowed range: ["<<this->minAbscissaError()<<","<<this->maxAbscissaError()<<"]."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
abscissaErrors_.push_back(abscissaErr);
this->calcLikelihoodInfo(abscissa, abscissaErr);
expTerms_.push_back(expTerm_);
cosTerms_.push_back(cosTerm_);
sinTerms_.push_back(sinTerm_);
coshTerms_.push_back(coshTerm_);
sinhTerms_.push_back(sinhTerm_);
normTermsExp_.push_back(normTermExp_);
normTermsCosh_.push_back(normTermCosh_);
normTermsSinh_.push_back(normTermSinh_);
effiTerms_.push_back(effiTerm_);
}
}
}
void LauDecayTimePdf::calcLikelihoodInfo(UInt_t iEvt)
{
if (type_ == Hist){
if ( pdfHist_ ) {
pdfHist_->calcLikelihoodInfo(iEvt);
pdfTerm_ = pdfHist_->getLikelihood();
} else {
pdfTerm_ = 1.0;
}
}else{
expTerm_ = expTerms_[iEvt];
cosTerm_ = cosTerms_[iEvt];
sinTerm_ = sinTerms_[iEvt];
coshTerm_ = coshTerms_[iEvt];
sinhTerm_ = sinhTerms_[iEvt];
normTermExp_ = normTermsExp_[iEvt];
normTermCosh_ = normTermsCosh_[iEvt];
normTermSinh_ = normTermsSinh_[iEvt];
}
if ( errHist_ ) {
errHist_->calcLikelihoodInfo(iEvt);
errTerm_ = errHist_->getLikelihood();
} else {
errTerm_ = 1.0;
}
const Double_t abscissa = abscissas_[iEvt];
//Parameters will change in some cases update things!
if (type_ == SimFitNormBd || type_ == SimFitSigBd || type_ == SimFitNormBs || type_ == SimFitSigBs){
const Double_t abscissaErr = abscissaErrors_[iEvt];
this->calcLikelihoodInfo(abscissa,abscissaErr);
}
switch( effMethod_ ) /* < If you're going to add an effMethod, extend this switch*/
{
case EfficiencyMethod::Spline :
if ( effiFun_ ) {
this->updateEffiSpline(effiPars_);
effiTerm_ = effiFun_->evaluate(abscissa); //EDITED XXX
if (effiTerm_>1.0){effiTerm_=1.0;}
if (effiTerm_<0.0){effiTerm_=0.0;}
} else {
effiTerm_ = 1.0;
}
break;
default :
effiTerm_ = effiTerms_[iEvt];
break;
}
// TODO need a check in here that none of the floating parameter values have changed
// If they have, then we need to recalculate all or some of the terms
/*
if ( parsChanged ) {
const Double_t abscissa = abscissas_[iEvt][0];
const Double_t abscissaErr = abscissaErrors_[iEvt];
this->calcLikelihoodInfo(abscissa, abscissaErr);
}
*/
}
void LauDecayTimePdf::calcLikelihoodInfo(Double_t abscissa)
{
// Check whether any of the gaussians should be scaled - if any of them should we need the per-event error
Bool_t scale(kFALSE);
for (std::vector<Bool_t>::const_iterator iter = scaleMeans_.begin(); iter != scaleMeans_.end(); ++iter) {
scale |= (*iter);
}
for (std::vector<Bool_t>::const_iterator iter = scaleWidths_.begin(); iter != scaleWidths_.end(); ++iter) {
scale |= (*iter);
}
if (scale) {
cerr<<"ERROR in LauDecayTimePdf::calcLikelihoodInfo : Per-event error on Delta t not provided, cannot calculate anything."<<endl;
return;
} else {
this->calcLikelihoodInfo(abscissa, 0.0);
}
}
void LauDecayTimePdf::calcLikelihoodInfo(Double_t abscissa, Double_t abscissaErr)
{
if (abscissa > this->maxAbscissa() || abscissa < this->minAbscissa()) {
cerr<<"ERROR in LauDecayTimePdf::calcLikelihoodInfo : Given value of the decay time: "<<abscissa<<
" outside allowed range: ["<<this->minAbscissa()<<","<<this->maxAbscissa()<<"]."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
if (abscissaErr > this->maxAbscissaError() || abscissaErr < this->minAbscissaError()) {
cerr<<"ERROR in LauDecayTimePdf::calcLikelihoodInfo : Given value of Delta t error: "<<abscissaErr<<
" outside allowed range: ["<<this->minAbscissaError()<<","<<this->maxAbscissaError()<<"]."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
switch( effMethod_ )
{
case EfficiencyMethod::Spline : effiTerm_ = effiFun_ ? effiFun_ -> evaluate(abscissa) : 1.0 ; break;
case EfficiencyMethod::Binned : effiTerm_ = effiHist_ ? effiHist_-> GetBinContent(effiHist_-> FindFixBin(abscissa)) : 1.0 ; break;
case EfficiencyMethod::Flat : effiTerm_ = 1.0 ; break;
// default : cerr << "Warning: EFFICIENCY INPUT METHOD NOT SET" << endl; effiTerms_.push_back( 1.0 );
}
// Initialise the various terms to zero
if (type_ == Hist){
if ( pdfHist_ ) {
pdfHist_->calcLikelihoodInfo(abscissa);
pdfTerm_ = pdfHist_->getLikelihood();
} else {
pdfTerm_ = 1.0;
}
}else{
// Reset the state to Good
this->state(Good);
// If we're not using the resolution function calculate the simple terms and return
if (!this->doSmearing()) {
this->calcNonSmearedTerms(abscissa);
return;
}
//TODO how much to be added below for SimFitNormBd/SimFitNormBs/SimFitSigBd/SimFitSigBs
// Get all the up to date parameter values
std::vector<Double_t> frac(nGauss_);
std::vector<Double_t> mean(nGauss_);
std::vector<Double_t> sigma(nGauss_);
Double_t tau(0.0);
Double_t deltaM(0.0);
Double_t fracPrompt(0.0);
Double_t Delta_gamma(0.0);
frac[0] = 1.0;
for (UInt_t i(0); i<nGauss_; ++i) {
mean[i] = mean_[i]->value();
sigma[i] = sigma_[i]->value();
if (i != 0) {
frac[i] = frac_[i-1]->value();
frac[0] -= frac[i];
}
}
if (type_ != Delta) {
tau = tau_->value();
if (type_ == ExpTrig) {
deltaM = deltaM_->value();
}
if (type_ == DeltaExp) {
fracPrompt = fracPrompt_->value();
}
if (type_ == ExpHypTrig){
deltaM = deltaM_->value();
Delta_gamma = deltaGamma_->value();
}
}
// Scale the gaussian parameters by the per-event error on Delta t (if appropriate)
for (UInt_t i(0); i<nGauss_; ++i) {
if (scaleMeans_[i]) {
mean[i] *= abscissaErr;
}
if (scaleWidths_[i]) {
sigma[i] *= abscissaErr;
}
}
// Calculate term needed by every type
std::vector<Double_t> x(nGauss_);
const Double_t xMax = this->maxAbscissa();
const Double_t xMin = this->minAbscissa();
for (UInt_t i(0); i<nGauss_; ++i) {
x[i] = abscissa - mean[i];
}
// TODO, what to do with this
Double_t value(0.0);
if (type_ == Delta || type_ == DeltaExp) {
// Calculate the gaussian function(s)
for (UInt_t i(0); i<nGauss_; ++i) {
if (TMath::Abs(sigma[i]) > 1e-10) {
Double_t exponent(0.0);
Double_t norm(0.0);
Double_t scale = LauConstants::root2*sigma[i];
Double_t scale2 = LauConstants::rootPiBy2*sigma[i];
exponent = -0.5*x[i]*x[i]/(sigma[i]*sigma[i]);
norm = scale2*(TMath::Erf((xMax - mean[i])/scale)
- TMath::Erf((xMin - mean[i])/scale));
value += frac[i]*TMath::Exp(exponent)/norm;
}
}
}
if (type_ != Delta) {
std::vector<Double_t> expTerms(nGauss_);
std::vector<Double_t> cosTerms(nGauss_);
std::vector<Double_t> sinTerms(nGauss_);
std::vector<Double_t> coshTerms(nGauss_);
std::vector<Double_t> sinhTerms(nGauss_);
std::vector<Double_t> expTermsNorm(nGauss_);
// TODO - TEL changed this name to make it compile - please check!
std::vector<Double_t> SinhTermsNorm(nGauss_);
// Calculate values of the PDF convoluated with each Gaussian for a given value of the abscsissa
for (UInt_t i(0); i<nGauss_; ++i) {
// Typical case (1): B0/B0bar
if (type_ == ExpTrig) {
// LHCb convention, i.e. convolution evaluate between 0 and inf
if (method_ == DecayTime) {
// Exponential term
Double_t termExponent = (pow(sigma[i], 2) - 2.0 * tau * x[i])/(2.0 * pow(tau, 2));
Double_t termErfc = (pow(sigma[i], 2) - tau * x[i])/(LauConstants::root2 * tau * sigma[i]);
expTerms[i] = (1.0/2.0) * TMath::Exp(termExponent) * TMath::Erfc(termErfc);
Double_t exponentTermRe, exponentTermIm;
this->calcTrigExponent(deltaM, tau, x[i], sigma[i], exponentTermRe, exponentTermIm);
// Elements related to the trigonometric function, i.e. convolution of Exp*Sin or Cos with Gauss
Double_t sinTrigTermRe, sinTrigTermIm, cosTrigTermRe, cosTrigTermIm;
this->calcTrigConv(deltaM, tau, x[i], sigma[i], sinTrigTermRe, sinTrigTermIm, kFALSE);
this->calcTrigConv(deltaM, tau, x[i], sigma[i], cosTrigTermRe, cosTrigTermIm, kTRUE);
// Combining elements of the full pdf
LauComplex zExp(exponentTermRe, exponentTermIm);
LauComplex zTrigSin(sinTrigTermRe, sinTrigTermIm);
LauComplex zTrigCos(cosTrigTermRe, cosTrigTermIm);
LauComplex sinConv = zExp * zTrigSin;
LauComplex cosConv = zExp * zTrigCos;
sinConv.scale(1.0/4.0);
cosConv.scale(1.0/4.0);
// Cosine*Exp and Sine*Exp terms
cosTerms[i] = cosConv.re();
sinTerms[i] = sinConv.im();
// Normalisation
Double_t umax = xMax - mean[i];
Double_t umin = xMin - mean[i];
expTermsNorm[i] = (1.0/2.0) * tau * (-1.0 + TMath::Erf(umax/(LauConstants::root2 * sigma[i])) + TMath::Erfc(umin/(LauConstants::root2 * sigma[i])) +
TMath::Exp((pow(sigma[i], 2) - 2.0 * tau * (xMax + xMin - mean[i]))/(2.0 * pow(tau, 2))) *
(TMath::Exp(xMax/tau) * TMath::Erfc((pow(sigma[i], 2) - xMin)/(LauConstants::root2 * tau))) +
(TMath::Exp(xMin/tau) * TMath::Erfc((pow(sigma[i], 2) - xMax)/(LauConstants::root2 * tau))));
} else {
}
}
// Typical case (2): B0s/B0sbar
if (type_ == ExpHypTrig) {
// LHCb convention
if (method_ == DecayTime) {
// Convolution of Exp*cosh (Exp*sinh) with a gaussian
//Double_t OverallExpFactor = 0.25*TMath::Exp(-(x[i]-mean[i])*(x[i]-mean[i])/(2*sigma[i]*sigma[i]));
//Double_t ExpFirstTerm = TMath::Exp((2*(x[i]-mean[i])*tau+sigma[i]*sigma[i]*(-2+Delta_gamma*tau))*(2*(x[i]-mean[i])*tau+sigma[i]*sigma[i]*(-2+Delta_gamma*tau))/(8*sigma[i]*sigma[i]*tau*tau));
//Double_t ExpSecondTerm = TMath::Exp((2*(-x[i]+mean[i])*tau+sigma[i]*sigma[i]*(2+Delta_gamma*tau))*(2*(-x[i]+mean[i])*tau+sigma[i]*sigma[i]*(2+Delta_gamma*tau))/(8*sigma[i]*sigma[i]*tau*tau));
//Double_t ErfFirstTerm = TMath::Erf((2*(x[i]-mean[i])*tau+sigma[i]*sigma[i]*(-2+Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
//Double_t ErfSecondTerm = TMath::Erf((2*(-x[i]+mean[i])*tau+sigma[i]*sigma[i]*(2+Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
//Double_t sinhConv = OverallExpFactor*(ExpFirstTerm*(1+ErfFirstTerm) + ExpSecondTerm*(-1+ErfSecondTerm));
//Double_t coshConv = OverallExpFactor*(ExpFirstTerm*(1+ErfFirstTerm) - ExpSecondTerm*(-1+ErfSecondTerm));
//cosTerms[i] = sinhConv;
// sinTerms[i] = coshConv;
//TODO: check this formula and try to simplify it!
double OverallExpTerm_max = (1/(2*(-4 + Delta_gamma*Delta_gamma*tau*tau)))*tau*TMath::Exp(-0.5*Delta_gamma*(xMax + mean[i]) - xMax/tau);
double ErfTerm_max = -2*Delta_gamma*tau*TMath::Exp(0.5*Delta_gamma*(xMax+mean[i])+xMax/tau)*TMath::Erf((xMax-mean[i])/(TMath::Sqrt(2)*sigma[i]));
double ExpFirstTerm_max = TMath::Exp(xMax*Delta_gamma+(sigma[i]*sigma[i]*(-2 + Delta_gamma*tau)*(-2 + Delta_gamma*tau))/(8*tau*tau));
double ErfcFirstTerm_max = TMath::Erfc((2*(-xMax + mean[i])*tau + sigma[i]*sigma[i]*(2 - Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
double ExpSecondTerm_max = TMath::Exp(Delta_gamma*mean[i] + (sigma[i]*sigma[i]*(2 + Delta_gamma*tau)*(2 + Delta_gamma*tau))/(8*tau*tau));
double ErfcSecondTerm_max = TMath::Erfc((2*(-xMax + mean[i])*tau + sigma[i]*sigma[i]*(2 + Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
double MaxVal= OverallExpTerm_max*(ErfTerm_max + TMath::Exp(mean[i]/tau)*(ExpFirstTerm_max*(2+Delta_gamma*tau)* ErfcFirstTerm_max + ExpSecondTerm_max*(-2+Delta_gamma*tau)* ErfcSecondTerm_max));
double OverallExpTerm_min = (1/(2*(-4 + Delta_gamma*Delta_gamma*tau*tau)))*tau*TMath::Exp(-0.5*Delta_gamma*(xMin + mean[i]) - xMin/tau);
double ErfTerm_min = -2*Delta_gamma*tau*TMath::Exp(0.5*Delta_gamma*(xMin+mean[i])+xMin/tau)*TMath::Erf((xMin-mean[i])/(TMath::Sqrt(2)*sigma[i]));
double ExpFirstTerm_min = TMath::Exp(xMin*Delta_gamma+(sigma[i]*sigma[i]*(-2 + Delta_gamma*tau)*(-2 + Delta_gamma*tau))/(8*tau*tau));
double ErfcFirstTerm_min = TMath::Erfc((2*(-xMin + mean[i])*tau + sigma[i]*sigma[i]*(2 - Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
// TODO - TEL added this (currently identical to ExpSecondTerm_max) to get this to compile - please check!!
double ExpSecondTerm_min = TMath::Exp(Delta_gamma*mean[i] + (sigma[i]*sigma[i]*(2 + Delta_gamma*tau)*(2 + Delta_gamma*tau))/(8*tau*tau));
double ErfcSecondTerm_min = TMath::Erfc((2*(-xMin + mean[i])*tau + sigma[i]*sigma[i]*(2 + Delta_gamma*tau))/(2*TMath::Sqrt(2)*sigma[i]*tau));
double minVal= OverallExpTerm_min*(ErfTerm_min + TMath::Exp(mean[i]/tau)*(ExpFirstTerm_min*(2+Delta_gamma*tau)* ErfcFirstTerm_min + ExpSecondTerm_min*(-2+Delta_gamma*tau)* ErfcSecondTerm_min));
SinhTermsNorm[i] = MaxVal - minVal;
} else {
}
}
}
for (UInt_t i(0); i<nGauss_; ++i) {
expTerm_ += frac[i]*expTerms[i];
cosTerm_ += frac[i]*cosTerms[i];
sinTerm_ += frac[i]*sinTerms[i];
coshTerm_ += frac[i]*coshTerms[i];
sinhTerm_ += frac[i]*sinhTerms[i];
normTermExp_ += frac[i]*expTermsNorm[i];
//normTermSinh_ += frac[i]*SinhTermsNorm[i];
}
if (type_ == DeltaExp) {
value *= fracPrompt;
value += (1.0-fracPrompt)*expTerm_;
} else {
value = expTerm_;
}
}
}
if ( errHist_ ) {
errHist_->calcLikelihoodInfo(abscissaErr);
errTerm_ = errHist_->getLikelihood();
} else {
errTerm_ = 1.0;
}
}
void LauDecayTimePdf::calcTrigExponent(Double_t deltaM, Double_t tau, Double_t x, Double_t sigma, Double_t& reTerm, Double_t& imTerm)
{
Double_t exponentTerm = TMath::Exp(-(2.0 * tau * x + pow(sigma, 2) * (pow(deltaM, 2) * pow(tau, 2) - 1.0))/(2.0 * pow(tau,2)));
reTerm = exponentTerm * TMath::Cos(deltaM * (x - pow(sigma,2)/tau));
imTerm = - exponentTerm * TMath::Sin(deltaM * (x - pow(sigma,2)/tau));
}
void LauDecayTimePdf::calcTrigConv(Double_t deltaM, Double_t tau, Double_t x, Double_t sigma, Double_t& reOutTerm, Double_t& imOutTerm, Bool_t trig)
{
Double_t reExpTerm, imExpTerm;
LauComplex zExp;
LauComplex zTrig1;
LauComplex zTrig2;
// Calculation for the sine or cosine term
if (!trig) {
reExpTerm = TMath::Sin(2.0 * deltaM * (x + pow(sigma,2)/tau));
imExpTerm = 2.0 * TMath::Sin(pow(deltaM * (x + pow(sigma,2)/tau), 2));
} else {
reExpTerm = TMath::Cos(2.0 * deltaM * (x + pow(sigma,2)/tau));
imExpTerm = TMath::Sin(2.0 * deltaM * (x + pow(sigma,2)/tau));
}
// Exponential term in front of Erfc/Erfi terms
zExp.setRealPart(reExpTerm);
zExp.setImagPart(imExpTerm);
// Nominal Erfc term (common to both sine and cosine expressions
zTrig1.setRealPart(-(tau * x - pow(sigma,2))/(LauConstants::root2 * tau * sigma));
zTrig1.setImagPart(-(deltaM * sigma)/ LauConstants::root2);
// Second term for sine (Erfi) or cosine (Erfc) - notice the re-im swap and sign change
zTrig2.setRealPart(-zTrig1.im());
zTrig2.setImagPart(-zTrig1.re());
// Calculation of Erfc and Erfi (if necessary)
LauComplex term1 = ComplexErfc(zTrig1.re(), zTrig1.im());
LauComplex term2;
if (!trig) {
term2 = Erfi(zTrig2.re(), zTrig2.im());
} else {
term2 = ComplexErfc(zTrig2.re(), zTrig2.im());
}
// Multiplying all elemnets of the convolution
LauComplex output = zExp * term1 + term2;
reOutTerm = output.re();
imOutTerm = output.im();
}
LauComplex LauDecayTimePdf::ComplexErf(Double_t x, Double_t y)
{
// Evaluate Erf(x + iy) using an infinite series approximation
// From Abramowitz & Stegun (http://people.math.sfu.ca/~cbm/aands/page_299.htm)
if (x==0){
// cout << "WARNING: Set x value to 1e-100 to avoid division by 0." << endl;
x = 1e-100;
}
int n = 20; // this cotrols the number of iterations of the sum
LauComplex ErfTerm(TMath::Erf(x),0.);
LauComplex CosSineTerm(1-cos(2*x*y), sin(2*x*y));
CosSineTerm.rescale(TMath::Exp(-x*x)/(2*TMath::Pi()*x));
LauComplex firstPart = ErfTerm + CosSineTerm;
LauComplex SumTerm(0,0);
for (int k = 1; k<=n; k++){
Double_t f_k = 2*x*(1 - cos(2*x*y)*cosh(k*y)) + k*sin(2*x*y)*sinh(k*y);
Double_t g_k = 2*x*sin(2*x*y)*cosh(k*y) + k*cos(2*x*y)*sinh(k*y);
LauComplex fgTerm(f_k, g_k);
fgTerm.rescale(TMath::Exp(-0.25*k*k)/(k*k + 4*x*x));
SumTerm += fgTerm;
}
SumTerm.rescale((2/TMath::Pi())*TMath::Exp(-x*x));
LauComplex result = firstPart + SumTerm;
return result;
}
LauComplex LauDecayTimePdf::Erfi(Double_t x, Double_t y)
{
// Erfi(z) = -I*Erf(I*z) where z = x + iy
double x_prime = -y;
double y_prime = x;
LauComplex a = ComplexErf(x_prime, y_prime);
LauComplex result(a.im(), -a.re());
return result;
}
LauComplex LauDecayTimePdf::ComplexErfc(Double_t x, Double_t y)
{
// Erfc(z) = 1 - Erf(z) (z = x + iy)
LauComplex one(1., 0.);
LauComplex result = one - ComplexErf(x,y);
return result;
}
void LauDecayTimePdf::calcNonSmearedTerms(Double_t abscissa)
{
if (type_ == Hist ){
cerr << "It is a histogrammed PDF" << endl;
return;
}
if (type_ == Delta) {
return;
}
Double_t tau = tau_->value();
Double_t deltaM = deltaM_->value();
// Calculate the terms related to cosine and sine not normalised
if (type_ == ExpTrig) {
if (method_ == DecayTime) {
expTerm_ = TMath::Exp(-abscissa/tau)/(2.0*tau);
}
if (method_ == DecayTimeDiff) {
expTerm_ = TMath::Exp(-TMath::Abs(abscissa)/tau)/(2.0*tau);
}
cosTerm_ = TMath::Cos(deltaM*abscissa)*expTerm_;
sinTerm_ = TMath::Sin(deltaM*abscissa)*expTerm_;
coshTerm_ = expTerm_;
sinhTerm_ = 0.0;
}
// Calculate the terms related to cosine not normalised
if (type_ == SimFitNormBd || type_ == SimFitNormBs) {
if (method_ == DecayTime) {
expTerm_ = TMath::Exp(-abscissa/tau)/(2.0*tau);
}
if (method_ == DecayTimeDiff) {
expTerm_ = TMath::Exp(-TMath::Abs(abscissa)/tau)/(2.0*tau);
}
cosTerm_ = TMath::Cos(deltaM*abscissa)*expTerm_;
sinTerm_ = 0.0;
coshTerm_ = expTerm_;
sinhTerm_ = 0.0;
if (type_ == SimFitNormBs){
Double_t deltaGamma = deltaGamma_->value();
coshTerm_ *= TMath::CosH(deltaGamma*abscissa/2.0);
}
}
// Calculate the terms related to cosine and sine not normalised
if (type_ == SimFitSigBd || type_ == SimFitSigBs) {
if (method_ == DecayTime) {
expTerm_ = TMath::Exp(-abscissa/tau)/(2.0*tau);
}
if (method_ == DecayTimeDiff) {
expTerm_ = TMath::Exp(-TMath::Abs(abscissa)/tau)/(2.0*tau);
}
cosTerm_ = TMath::Cos(deltaM*abscissa)*expTerm_;
sinTerm_ = TMath::Sin(deltaM*abscissa)*expTerm_;
coshTerm_ = expTerm_;
sinhTerm_ = 0.0;
if (type_ == SimFitNormBs){
Double_t deltaGamma = deltaGamma_->value();
coshTerm_ *= TMath::CosH(deltaGamma*abscissa/2.0);
sinhTerm_ = TMath::SinH(deltaGamma*abscissa/2.0)*expTerm_;
}
}
// Calculate the terms related to cosine, sine, cosh and sinh not normalised (no decayTimeDiff implemented)
if (type_ == ExpHypTrig) {
Double_t deltaGamma = deltaGamma_->value();
expTerm_ = TMath::Exp(-abscissa/tau)/(2.0*tau);
cosTerm_ = TMath::Cos(deltaM*abscissa)*expTerm_;
sinTerm_ = TMath::Sin(deltaM*abscissa)*expTerm_;
coshTerm_ = TMath::CosH(deltaGamma*abscissa/2.0)*expTerm_;
sinhTerm_ = TMath::SinH(deltaGamma*abscissa/2.0)*expTerm_;
}
}
Double_t LauDecayTimePdf::normExpHypTerm(Double_t Abs)
{
Double_t tau = tau_->value();
Double_t deltaGamma = deltaGamma_->value();
Double_t y = tau*deltaGamma/2;
Double_t nonTrigTerm = -(TMath::Exp(-Abs/tau))/(1 - y*y);
Double_t cosHTerm = TMath::CosH(deltaGamma*Abs/2);
Double_t sinHTerm = TMath::SinH(deltaGamma*Abs/2);
Double_t normTerm = nonTrigTerm*(cosHTerm + y*sinHTerm);
return normTerm;
}
Double_t LauDecayTimePdf::normExpHypTermDep(Double_t Abs)
{
Double_t tau = tau_->value();
Double_t deltaGamma = deltaGamma_->value();
Double_t y = tau*deltaGamma/2;
Double_t nonTrigTerm = -(TMath::Exp(-Abs/tau))/(1 - y*y);
Double_t cosHTerm = TMath::CosH(deltaGamma*Abs/2);
Double_t sinHTerm = TMath::SinH(deltaGamma*Abs/2);
Double_t normTerm = nonTrigTerm*(sinHTerm + y*cosHTerm);
return normTerm;
}
std::pair<Double_t, Double_t> LauDecayTimePdf::nonSmearedCosSinIntegral(Double_t minAbs, Double_t maxAbs)
{
// From 1407.0748, not clear whether complex is faster in this case
Double_t gamma = 1. / this->tau_->value();
LauComplex denom = LauComplex(gamma, -this->deltaM_->value());
LauComplex exponent = LauComplex(-gamma, this->deltaM_->value());
LauComplex num0 = -exponent.scale(minAbs).exp();
LauComplex num1 = -exponent.scale(maxAbs).exp();
LauComplex integral = (num1 - num0) / denom;
return {integral.re(), integral.im()};
}
std::pair<Double_t, Double_t> LauDecayTimePdf::smearedCosSinIntegral(Double_t minAbs, Double_t maxAbs, Double_t sigma)
{
Double_t mu = 0.; // Placeholder
Double_t gamma = 1. / this->tau_->value();
Double_t x1 = (maxAbs - mu) / (LauConstants::root2 * sigma);
Double_t x0 = (minAbs - mu) / (LauConstants::root2 * sigma);
std::complex z = std::complex(gamma * sigma / LauConstants::root2, -this->deltaM_->value() * sigma / LauConstants::root2);
std::complex arg1 = std::complex(0., 1.) * (z - x1);
std::complex arg0 = std::complex(0., 1.) * (z - x0);
std::complex integral = RooMath::erf(x1) - TMath::Exp(-(x1 * x1)) * RooMath::faddeeva(arg1);
integral -= RooMath::erf(x0) - TMath::Exp(-(x0 * x0)) * RooMath::faddeeva(arg0);
integral *= (sigma / (2. * LauConstants::root2 * z));
Double_t cos_integral = integral.real();
Double_t sin_integral = integral.imag();
return {cos_integral, sin_integral};
}
std::pair<Double_t, Double_t> LauDecayTimePdf::nonSmearedCoshSinhIntegral(Double_t minAbs, Double_t maxAbs)
{
// Use exponential formualtion rather than cosh, sinh.
// Fewer terms (reused for each), but not guaranteed to be faster.
Double_t gamma = 1. / this->tau_->value();
Double_t gammaH = gamma - 0.5 * deltaGamma_->value();
Double_t gammaL = gamma - 0.5 * deltaGamma_->value();
Double_t nL1 = -TMath::Exp(-gammaL * maxAbs) / gammaL;
Double_t nH1 = -TMath::Exp(-gammaH * maxAbs) / gammaH;
Double_t nL0 = -TMath::Exp(-gammaL * minAbs) / gammaL;
Double_t nH0 = -TMath::Exp(-gammaH * minAbs) / gammaH;
Double_t cosh_integral = 0.5 * ( (nH1 + nL1) - (nH0 + nL0) );
Double_t sinh_integral = 0.5 * ( (nH1 - nL1) - (nH0 - nL0) );
return {cosh_integral, sinh_integral};
}
std::pair<Double_t, Double_t> LauDecayTimePdf::smearedCoshSinhIntegral(Double_t minAbs, Double_t maxAbs, Double_t sigma)
{
Double_t mu = 0.; // Placeholder
Double_t gamma = 1. / this->tau_->value();
Double_t x1 = (maxAbs - mu) / (LauConstants::root2 * sigma);
Double_t x0 = (minAbs - mu) / (LauConstants::root2 * sigma);
Double_t z_H = ((gamma - deltaGamma_->value() / 2.) * sigma) / LauConstants::root2;
std::complex arg1_H(0., z_H - x1);
std::complex arg0_H(0., z_H - x0);
std::complex integral_H = RooMath::erf(x1) - TMath::Exp(-(x1 * x1)) * RooMath::faddeeva(arg1_H);
integral_H -= RooMath::erf(x0) - TMath::Exp(-(x0 * x0)) * RooMath::faddeeva(arg0_H);
integral_H *= (sigma / (2. * LauConstants::root2 * z_H));
// Same for light (L)
Double_t z_L = ((gamma + deltaGamma_->value() / 2.) * sigma) / LauConstants::root2;
std::complex arg1_L(0., z_L - x1);
std::complex arg0_L(0., z_L - x0);
std::complex integral_L = RooMath::erf(x1) - TMath::Exp(-(x1 * x1)) * RooMath::faddeeva(arg1_L);
integral_L -= RooMath::erf(x0) - TMath::Exp(-(x0 * x0)) * RooMath::faddeeva(arg0_L);
integral_L *= (sigma / (2. * LauConstants::root2 * z_L));
std::complex cosh_integral = 0.5 * (integral_H + integral_L);
std::complex sinh_integral = 0.5 * (integral_H - integral_L);
return {cosh_integral.real(), sinh_integral.real()};
}
void LauDecayTimePdf::calcNorm()
{
// first reset integrals to zero
normTermExp_ = 0.0;
normTermCos_ = 0.0;
normTermSin_ = 0.0;
normTermCosh_ = 0.0;
normTermSinh_ = 0.0;
switch ( effMethod_ ) {
case EfficiencyMethod::Flat :
// No efficiency variation
// Simply calculate integrals over full range
this->calcPartialIntegrals( minAbscissa_, maxAbscissa_ );
break;
case EfficiencyMethod::Binned :
// Efficiency varies as piecewise constant
// Total integral is sum of integrals in each bin, each weighted by efficiency in that bin
for ( Int_t bin{1}; bin <= effiHist_->GetNbinsX(); ++bin ) {
const Double_t loEdge {effiHist_->GetBinLowEdge(bin)};
const Double_t hiEdge {loEdge + effiHist_->GetBinWidth(bin)};
const Double_t effVal {effiHist_->GetBinContent(bin)};
this->calcPartialIntegrals( loEdge, hiEdge, effVal );
}
break;
case EfficiencyMethod::Spline :
// Efficiency varies as piecewise polynomial
// TODO - to be worked out what to do here
std::cerr << "WARNING in LauDecayTimePdf::calcNorm : normalisation integrals for spline acceptance not yet implemented - effect of acceptance will be neglected!" << std::endl;
this->calcPartialIntegrals( minAbscissa_, maxAbscissa_ );
break;
}
// TODO - should we check here that all terms we expect to use are now non-zero?
}
// Mildly concerned this is void rather than returning the integrals
// (but this would require refactoring for different return values). As long
// as it doesn't get called outside of calcNorm() it should be fine - DPO
void LauDecayTimePdf::calcPartialIntegrals(const Double_t minAbs, const Double_t maxAbs, const Double_t weight)
{
const Double_t tau = tau_->value();
const Double_t Gamma = 1.0 / tau;
// TODO - this is all neglecting resolution at the moment
// Normalisation factor for B0 decays
if (type_ == ExpTrig || type_ == SimFitNormBd || type_ == SimFitSigBd ) {
if (method_ == DecayTime) {
+ // Not required as integrand is now exp * cos, exp * sin?
normTermExp_ += weight * tau * ( TMath::Exp(-minAbs*Gamma) - TMath::Exp(-maxAbs*Gamma) );
auto [cosIntegral, sinIntegral] = this->nonSmearedCosSinIntegral(minAbs, maxAbs);
normTermCos_ += weight * cosIntegral;
normTermSin_ += weight * sinIntegral;
} else if (method_ == DecayTimeDiff) {
normTermExp_ += weight * tau * (2.0 - TMath::Exp(-maxAbs*Gamma) - TMath::Exp(-minAbs*Gamma));
- // TODO - the other terms
+ // TODO - join LHCb
}
}
// Normalisation factor for Bs decays
// TODO HACKATHON - to be replaced
if (type_ == ExpHypTrig || type_ == SimFitNormBs || type_ == SimFitSigBs) {
+ auto [cosIntegral, sinIntegral] = this->nonSmearedCosSinIntegral(minAbs, maxAbs);
+ normTermCos_ += weight * cosIntegral;
+ normTermSin_ += weight * sinIntegral;
+
auto [coshIntegral, sinhIntegral] = this->nonSmearedCoshSinhIntegral(minAbs, maxAbs);
normTermCosh_ += weight * coshIntegral;
normTermSinh_ += weight * sinhIntegral;
}
}
std::pair<Double_t, Double_t> LauDecayTimePdf::smearedCosSinTerm(Double_t sigma, Double_t t)
{
Double_t mu = 0.; // Placeholder
Double_t gamma = 1. / this->tau_->value();
Double_t x = (t - mu) / (LauConstants::root2 * sigma);
std::complex z = std::complex(gamma * sigma / LauConstants::root2, -this->deltaM_->value() * sigma / LauConstants::root2);
std::complex arg = std::complex(0., 1.) * (z - x);
std::complex conv = 0.5 * TMath::Exp(-(x * x)) * RooMath::faddeeva(arg);
Double_t cos_conv = conv.real();
Double_t sin_conv = conv.imag();
return {cos_conv, sin_conv};
}
std::pair<Double_t, Double_t> LauDecayTimePdf::smearedCoshSinhTerm(Double_t sigma, Double_t t)
{
Double_t mu = 0.; // Placeholder
Double_t gamma = 1. / this->tau_->value();
Double_t x = (t - mu) / (LauConstants::root2 * sigma);
Double_t z_H = ((gamma - deltaGamma_->value() / 2.) * sigma) / LauConstants::root2;
Double_t z_L = ((gamma + deltaGamma_->value() / 2.) * sigma) / LauConstants::root2;
std::complex arg_H(0., z_H - x);
std::complex arg_L(0., z_L - x);
std::complex conv_H = 0.5 * TMath::Exp(-(x * x)) * RooMath::faddeeva(arg_H);
std::complex conv_L = 0.5 * TMath::Exp(-(x * x)) * RooMath::faddeeva(arg_L);
std::complex cosh_conv = 0.5 * (conv_H + conv_L);
std::complex sinh_conv = 0.5 * (conv_H - conv_L);
return {cosh_conv.real(), sinh_conv.real()};
}
Double_t LauDecayTimePdf::generateError(Bool_t forceNew)
{
if (errHist_ && (forceNew || !abscissaErrorGenerated_)) {
LauFitData errData = errHist_->generate(0);
abscissaError_ = errData.find(this->varErrName())->second;
abscissaErrorGenerated_ = kTRUE;
} else {
while (forceNew || !abscissaErrorGenerated_) {
abscissaError_ = LauRandom::randomFun()->Landau(errorDistMPV_,errorDistSigma_);
if (abscissaError_ < maxAbscissaError_ && abscissaError_ > minAbscissaError_) {
abscissaErrorGenerated_ = kTRUE;
forceNew = kFALSE;
}
}
}
return abscissaError_;
}
/*
LauFitData LauDecayTimePdf::generate(const LauKinematics* kinematics)
{
// generateError SHOULD have been called before this
// function but will call it here just to make sure
// (has ns effect if has already been called)
abscissaError_ = this->generateError();
// If the PDF is scaled by the per-event error then need to update the PDF height for each event
Bool_t scale(kFALSE);
for (std::vector<Bool_t>::const_iterator iter = scaleMeans_.begin(); iter != scaleMeans_.end(); ++iter) {
scale |= (*iter);
}
for (std::vector<Bool_t>::const_iterator iter = scaleWidths_.begin(); iter != scaleWidths_.end(); ++iter) {
scale |= (*iter);
}
if (scale || (!this->heightUpToDate() && !this->cachePDF())) {
this->calcPDFHeight(kinematics);
this->heightUpToDate(kTRUE);
}
// Generate the value of the abscissa.
Bool_t gotAbscissa(kFALSE);
Double_t genVal(0.0);
Double_t genPDFVal(0.0);
LauFitData genAbscissa;
const Double_t xMin = this->minAbscissa();
const Double_t xMax = this->maxAbscissa();
const Double_t xRange = xMax - xMin;
while (!gotAbscissa) {
genVal = LauRandom::randomFun()->Rndm()*xRange + xMin;
this->calcLikelihoodInfo(genVal, abscissaError_);
genPDFVal = this->getUnNormLikelihood();
if (LauRandom::randomFun()->Rndm() <= genPDFVal/this->getMaxHeight()) {gotAbscissa = kTRUE;}
if (genPDFVal > this->getMaxHeight()) {
cerr<<"Warning in LauDecayTimePdf::generate()."
<<" genPDFVal = "<<genPDFVal<<" is larger than the specified PDF height "
<<this->getMaxHeight()<<" for the abscissa = "<<genVal<<". Need to reset height to be larger than "
<<genPDFVal<<" by using the setMaxHeight(Double_t) function"
<<" and re-run the Monte Carlo generation!"<<endl;
}
}
genAbscissa[this->varName()] = genVal;
// mark that we need a new error to be generated next time
abscissaErrorGenerated_ = kFALSE;
return genAbscissa;
}
*/
void LauDecayTimePdf::setErrorHisto(const TH1* hist)
{
if ( errHist_ != 0 ) {
cerr<<"WARNING in LauDecayTimePdf::setErrorHisto : Error histogram already set, not doing it again."<<endl;
return;
}
errHist_ = new Lau1DHistPdf(this->varErrName(), hist, this->minAbscissaError(), this->maxAbscissaError());
}
void LauDecayTimePdf::setHistoPdf(const TH1* hist)
{
if ( pdfHist_ != 0 ) {
cerr<<"WARNING in LauDecayTimePdf::setHistoPdf : PDF histogram already set, not doing it again."<<endl;
return;
}
pdfHist_ = new Lau1DHistPdf(this->varName(), hist, this->minAbscissa(), this->maxAbscissa());
}
void LauDecayTimePdf::setEffiHist(const TH1* hist)
{
if ( effiHist_ != nullptr ) {
std::cerr << "WARNING in LauDecayTimePdf::setEffiHist : efficiency histogram already set, not doing it again." << std::endl;
return;
}
if ( hist == nullptr ) {
std::cerr << "WARNING in LauDecayTimePdf::setEffiHist : supplied efficiency histogram pointer is null." << std::endl;
return;
}
// Check boundaries of histogram align with our abscissa's range
const Double_t axisMin {hist->GetXaxis()->GetXmin()};
const Double_t axisMax {hist->GetXaxis()->GetXmax()};
if ( TMath::Abs(minAbscissa_ - axisMin)>1e-6 || TMath::Abs(maxAbscissa_ - axisMax)>1e-6 ) {
std::cerr << "WARNING in LauDecayTimePdf::setEffiHist : mismatch in range between supplied histogram and abscissa\n"
<< " : histogram range: " << axisMin << " - " << axisMax << "\n"
<< " : abscissa range: " << minAbscissa_ << " - " << maxAbscissa_ << "\n"
<< " : Disregarding this histogram." << std::endl;
return;
}
effiHist_ = dynamic_cast<TH1*>( hist->Clone() );
//Since we didn't do it in the constructor
this -> calcNorm();
}
void LauDecayTimePdf::setEffiSpline(Lau1DCubicSpline* spline)
{
if ( effiFun_ != 0 ) {
cerr<<"WARNING in LauDecayTimePdf::setEffiPdf : efficiency function already set, not doing it again."<<endl;
return;
}
effiFun_ = spline;
std::vector<Double_t> effis = effiFun_->getYValues();
effiPars_.resize( effis.size() );
size_t index = 0;
for( Double_t& effi : effis )
{
effiPars_[ index ] = new LauParameter( Form( "%s_Knot_%lu", varName_.Data() ,index ), effi, 0.0, 1.0, kTRUE );
++index;
}
}
LauAbsRValue* LauDecayTimePdf::findParameter(const TString& parName)
{
for ( std::vector<LauAbsRValue*>::iterator iter = param_.begin(); iter != param_.end(); ++iter ) {
if ((*iter)->name().Contains(parName)) {
return (*iter);
}
}
std::cerr << "ERROR in LauDecayTimePdf::findParameter : Parameter \"" << parName << "\" not found." << std::endl;
return 0;
}
const LauAbsRValue* LauDecayTimePdf::findParameter(const TString& parName) const
{
for ( std::vector<LauAbsRValue*>::const_iterator iter = param_.begin(); iter != param_.end(); ++iter ) {
if ((*iter)->name().Contains(parName)) {
return (*iter);
}
}
std::cerr << "ERROR in LauDecayTimePdf::findParameter : Parameter \"" << parName << "\" not found." << std::endl;
return 0;
}
void LauDecayTimePdf::updatePulls()
{
for ( std::vector<LauAbsRValue*>::iterator iter = param_.begin(); iter != param_.end(); ++iter ) {
std::vector<LauParameter*> params = (*iter)->getPars();
for (std::vector<LauParameter*>::iterator params_iter = params.begin(); params_iter != params.end(); ++params_iter ) {
if (!(*iter)->fixed()) {
(*params_iter)->updatePull();
}
}
}
}
void LauDecayTimePdf::updateEffiSpline(std::vector<LauParameter*> effiPars)
{
if (effiPars.size() != effiFun_->getnKnots()){
cerr<<"ERROR in LauDecayTimePdf::updateEffiSpline : number of efficiency parameters is not equal to the number of spline knots."<<endl;
gSystem->Exit(EXIT_FAILURE);
}
effiFun_->updateYValues(effiPars);
}

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