VariableGaussTransform.cxx

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// @(#)root/tmva $Id$
// Author: Andreas Hoecker, Joerg Stelzer, Helge Voss, Eckhard v. Toerne
 
/**********************************************************************************
 * Project: TMVA - a Root-integrated toolkit for multivariate data analysis       *
 * Package: TMVA                                                                  *
 * Class  : VariableGaussTransform                                                *
 *                                             *
 *                                                                                *
 * Description:                                                                   *
 *      Implementation (see header for description)                               *
 *                                                                                *
 * Authors (alphabetical):                                                        *
 *      Andreas Hoecker <Andreas.Hocker@cern.ch> - CERN, Switzerland              *
 *      Peter Speckmayer <Peter.Speckmayer@cern.ch> - CERN, Switzerland           *
 *      Joerg Stelzer   <Joerg.Stelzer@cern.ch>  - CERN, Switzerland              *
 *      Eckhard v. Toerne     <evt@uni-bonn.de>  - Uni Bonn, Germany              *
 *      Helge Voss      <Helge.Voss@cern.ch>     - MPI-K Heidelberg, Germany      *
 *                                                                                *
 * Copyright (c) 2005-2011:                                                       *
 *      CERN, Switzerland                                                         *
 *      MPI-K Heidelberg, Germany                                                 *
 *      U. of Bonn, Germany                                                       *
 *                                                                                *
 * Redistribution and use in source and binary forms, with or without             *
 * modification, are permitted according to the terms listed in LICENSE           *
 * (see tmva/doc/LICENSE)                                          *
 **********************************************************************************/
 
/*! \class TMVA::VariableGaussTransform
\ingroup TMVA
Gaussian Transformation of input variables.
*/
 
#include "TMVA/VariableGaussTransform.h"
 
#include "TMVA/DataSetInfo.h"
#include "TMVA/MsgLogger.h"
#include "TMVA/PDF.h"
#include "TMVA/Tools.h"
#include "TMVA/Types.h"
#include "TMVA/Version.h"
 
#include "TH1F.h"
#include "TMath.h"
#include "TVectorF.h"
#include "TVectorD.h"
 
#include <exception>
#include <iostream>
#include <list>
#include <limits>
#include <stdexcept>
 
 
////////////////////////////////////////////////////////////////////////////////
/// constructor
/// can only be applied one after the other when they are created. But in order to
/// determine the Gauss transformation
 
TMVA::VariableGaussTransform::VariableGaussTransform( DataSetInfo& dsi, TString strcor )
: VariableTransformBase( dsi, Types::kGauss, "Gauss" ),
   fFlatNotGauss(kFALSE),
   fPdfMinSmooth(0),
   fPdfMaxSmooth(0),
   fElementsperbin(0)
{
   if (strcor=="Uniform") {fFlatNotGauss = kTRUE;
      SetName("Uniform");
   }
}
 
////////////////////////////////////////////////////////////////////////////////
/// destructor
 
TMVA::VariableGaussTransform::~VariableGaussTransform( void )
{
   CleanUpCumulativeArrays();
}
 
////////////////////////////////////////////////////////////////////////////////
 
void TMVA::VariableGaussTransform::Initialize()
{
}
 
////////////////////////////////////////////////////////////////////////////////
/// calculate the cumulative distributions
 
Bool_t TMVA::VariableGaussTransform::PrepareTransformation (const std::vector<Event*>& events)
{
   Initialize();
 
   if (!IsEnabled() || IsCreated()) return kTRUE;
 
   Log() << kINFO << "Preparing the Gaussian transformation..." << Endl;
 
   UInt_t inputSize = fGet.size();
   SetNVariables(inputSize);
 
   if (inputSize > 200) {
      Log() << kWARNING << "----------------------------------------------------------------------------"
            << Endl;
      Log() << kWARNING
            << ": More than 200 variables, I hope you have enough memory!!!!" << Endl;
      Log() << kWARNING << "----------------------------------------------------------------------------"
            << Endl;
      //      return kFALSE;
   }
 
   GetCumulativeDist( events );
 
   SetCreated( kTRUE );
 
   return kTRUE;
}
 
////////////////////////////////////////////////////////////////////////////////
/// apply the Gauss transformation
 
const TMVA::Event* TMVA::VariableGaussTransform::Transform(const Event* const ev, Int_t cls ) const
{
   if (!IsCreated()) Log() << kFATAL << "Transformation not yet created" << Endl;
   //EVT this is a workaround to address the reader problem with transforma and EvaluateMVA(std::vector<float/double> ,...)
   //EVT if (cls <0 || cls > GetNClasses() ) {
   //EVT   cls = GetNClasses();
   //EVT   if (GetNClasses() == 1 ) cls = (fCumulativePDF[0].size()==1?0:2);
   //EVT}
   if (cls <0 || cls >=  (int) fCumulativePDF[0].size()) cls = fCumulativePDF[0].size()-1;
   //EVT workaround end
 
   // get the variable vector of the current event
   UInt_t inputSize = fGet.size();
 
   std::vector<Float_t> input(0);
   std::vector<Float_t> output(0);
 
   std::vector<Char_t> mask; // entries with kTRUE must not be transformed
   GetInput( ev, input, mask );
 
   std::vector<Char_t>::iterator itMask = mask.begin();
 
   //   TVectorD vec( inputSize );
   //   for (UInt_t ivar=0; ivar<inputSize; ivar++) vec(ivar) = input.at(ivar);
   Double_t cumulant;
   //transformation
   for (UInt_t ivar=0; ivar<inputSize; ivar++) {
 
      if ( (*itMask) ){
         ++itMask;
         continue;
      }
 
      if (0 != fCumulativePDF[ivar][cls]) {
         // first make it flat
         if(fTMVAVersion>TMVA_VERSION(3,9,7))
            cumulant = (fCumulativePDF[ivar][cls])->GetVal(input.at(ivar));
         else
            cumulant = OldCumulant(input.at(ivar), fCumulativePDF[ivar][cls]->GetOriginalHist() );
         cumulant = TMath::Min(cumulant,1.-10e-10);
         cumulant = TMath::Max(cumulant,0.+10e-10);
 
         if (fFlatNotGauss)
            output.push_back( cumulant );
         else {
            // sanity correction for out-of-range values
            Double_t maxErfInvArgRange = 0.99999999;
            Double_t arg = 2.0*cumulant - 1.0;
            arg = TMath::Min(+maxErfInvArgRange,arg);
            arg = TMath::Max(-maxErfInvArgRange,arg);
 
            output.push_back( 1.414213562*TMath::ErfInverse(arg) );
         }
      }
   }
 
   if (fTransformedEvent==0 || fTransformedEvent->GetNVariables()!=ev->GetNVariables()) {
      if (fTransformedEvent!=0) { delete fTransformedEvent; fTransformedEvent = 0; }
      fTransformedEvent = new Event();
   }
 
   SetOutput( fTransformedEvent, output, mask, ev );
 
   return fTransformedEvent;
}
 
////////////////////////////////////////////////////////////////////////////////
/// apply the inverse Gauss or inverse uniform transformation
 
const TMVA::Event* TMVA::VariableGaussTransform::InverseTransform(const  Event* const ev, Int_t cls ) const
{
   if (!IsCreated()) Log() << kFATAL << "Transformation not yet created" << Endl;
   //EVT this is a workaround to address the reader problem with transforma and EvaluateMVA(std::vector<float/double> ,...)
   //EVT if (cls <0 || cls > GetNClasses() ) {
   //EVT   cls = GetNClasses();
   //EVT   if (GetNClasses() == 1 ) cls = (fCumulativePDF[0].size()==1?0:2);
   //EVT}
   if (cls <0 || cls >=  (int) fCumulativePDF[0].size()) cls = fCumulativePDF[0].size()-1;
   //EVT workaround end
 
   // get the variable vector of the current event
   UInt_t inputSize = fGet.size();
 
   std::vector<Float_t> input(0);
   std::vector<Float_t> output(0);
 
   std::vector<Char_t> mask; // entries with kTRUE must not be transformed
   GetInput( ev, input, mask, kTRUE );
 
   std::vector<Char_t>::iterator itMask = mask.begin();
 
   //   TVectorD vec( inputSize );
   //   for (UInt_t ivar=0; ivar<inputSize; ivar++) vec(ivar) = input.at(ivar);
   Double_t invCumulant;
   //transformation
   for (UInt_t ivar=0; ivar<inputSize; ivar++) {
 
      if ( (*itMask) ){
         ++itMask;
         continue;
      }
 
      if (0 != fCumulativePDF[ivar][cls]) {
         invCumulant = input.at(ivar);
 
         // first de-gauss ist if gaussianized
         if (!fFlatNotGauss)
            invCumulant = (TMath::Erf(invCumulant/1.414213562)+1)/2.f;
 
         // then de-uniform the values
         if(fTMVAVersion>TMVA_VERSION(4,0,0))
            invCumulant = (fCumulativePDF[ivar][cls])->GetValInverse(invCumulant,kTRUE);
         else
            Log() << kFATAL << "Inverse Uniform/Gauss transformation not implemented for TMVA versions before 4.1.0" << Endl;
 
         output.push_back(invCumulant);
      }
   }
 
   if (fBackTransformedEvent==0) fBackTransformedEvent = new Event( *ev );
 
   SetOutput( fBackTransformedEvent, output, mask, ev, kTRUE );
 
   return fBackTransformedEvent;
}
 
////////////////////////////////////////////////////////////////////////////////
/// fill the cumulative distributions
 
void TMVA::VariableGaussTransform::GetCumulativeDist( const std::vector< Event*>& events )
{
   const UInt_t inputSize = fGet.size();
   //   const UInt_t nCls = GetNClasses();
 
   //   const UInt_t nvar = GetNVariables();
   UInt_t nevt = events.size();
 
   const UInt_t nClasses = GetNClasses();
   UInt_t numDist  = nClasses+1; // calculate cumulative distributions for all "event" classes separately + one where all classes are treated (added) together
 
   if (GetNClasses() == 1 ) numDist = nClasses; // for regression, if there is only one class, there is no "sum" of classes, hence
 
   UInt_t **nbins = new UInt_t*[numDist];
 
   std::list< TMVA::TMVAGaussPair >  **listsForBinning = new std::list<TMVA::TMVAGaussPair>* [numDist];
   std::vector< Float_t >   **vsForBinning = new std::vector<Float_t>* [numDist];
   for (UInt_t i=0; i < numDist; i++) {
      listsForBinning[i] = new std::list<TMVA::TMVAGaussPair> [inputSize];
      vsForBinning[i]    = new std::vector<Float_t> [inputSize];
      nbins[i] = new UInt_t[inputSize];  // nbins[0] = number of bins for signal distributions. It depends on the number of entries, thus it's the same for all the input variables, but it isn't necessary for some "weird" reason.
   }
 
   std::vector<Float_t> input;
   std::vector<Char_t> mask; // entries with kTRUE must not be transformed
 
   // perform event loop
   Float_t *sumOfWeights = new Float_t[numDist];
   Float_t *minWeight = new Float_t[numDist];
   Float_t *maxWeight = new Float_t[numDist];
   for (UInt_t i=0; i<numDist; i++) {
      sumOfWeights[i]=0;
      minWeight[i]=10E10; // TODO: change this to std::max ?
      maxWeight[i]=0; // QUESTION: wouldn't there be negative events possible?
   }
   for (UInt_t ievt=0; ievt < nevt; ievt++) {
      const Event* ev= events[ievt];
      Int_t cls = ev->GetClass();
      Float_t eventWeight = ev->GetWeight();
      sumOfWeights[cls] += eventWeight;
      if (minWeight[cls] > eventWeight) minWeight[cls]=eventWeight;
      if (maxWeight[cls] < eventWeight) maxWeight[cls]=eventWeight;
      if (numDist>1) sumOfWeights[numDist-1] += eventWeight;
 
      Bool_t hasMaskedEntries = GetInput( ev, input, mask );
      if( hasMaskedEntries ){
         Log() << kWARNING << "Incomplete event" << Endl;
         std::ostringstream oss;
         ev->Print(oss);
         Log() << oss.str();
         Log() << kFATAL << "Targets or variables masked by transformation. Apparently (a) value(s) is/are missing in this event." << Endl;
      }
 
 
      Int_t ivar = 0;
      for( std::vector<Float_t>::iterator itInput = input.begin(), itInputEnd = input.end(); itInput != itInputEnd; ++itInput ) {
         Float_t value = (*itInput);
         listsForBinning[cls][ivar].push_back(TMVA::TMVAGaussPair(value,eventWeight));
         if (numDist>1)listsForBinning[numDist-1][ivar].push_back(TMVA::TMVAGaussPair(value,eventWeight));
         ++ivar;
      }
   }
   if (numDist > 1) {
      for (UInt_t icl=0; icl<numDist-1; icl++){
         minWeight[numDist-1] = TMath::Min(minWeight[icl],minWeight[numDist-1]);
         maxWeight[numDist-1] = TMath::Max(maxWeight[icl],maxWeight[numDist-1]);
      }
   }
 
   // Sorting the lists, getting nbins ...
   const UInt_t nevmin=10;  // minimum number of events per bin (to make sure we get reasonable distributions)
   const UInt_t nbinsmax=2000; // maximum number of bins
 
   for (UInt_t icl=0; icl< numDist; icl++){
      for (UInt_t ivar=0; ivar<inputSize; ivar++) {
         listsForBinning[icl][ivar].sort();
         std::list< TMVA::TMVAGaussPair >::iterator it;
         Float_t sumPerBin = sumOfWeights[icl]/nbinsmax;
         sumPerBin=TMath::Max(minWeight[icl]*nevmin,sumPerBin);
         Float_t sum=0;
         Float_t ev_value=listsForBinning[icl][ivar].begin()->GetValue();
         Float_t lastev_value=ev_value;
         const Float_t eps = 1.e-4;
         vsForBinning[icl][ivar].push_back(ev_value-eps);
         vsForBinning[icl][ivar].push_back(ev_value);
 
         for (it=listsForBinning[icl][ivar].begin(); it != listsForBinning[icl][ivar].end(); ++it){
            sum+= it->GetWeight();
            if (sum >= sumPerBin) {
               ev_value=it->GetValue();
               if (ev_value>lastev_value) {   // protection against bin width of 0
                  vsForBinning[icl][ivar].push_back(ev_value);
                  sum = 0.;
                  lastev_value=ev_value;
               }
            }
         }
         if (sum!=0) vsForBinning[icl][ivar].push_back(listsForBinning[icl][ivar].back().GetValue());
         nbins[icl][ivar] = vsForBinning[icl][ivar].size();
      }
   }
 
   delete[] sumOfWeights;
   delete[] minWeight;
   delete[] maxWeight;
 
   // create histogram for the cumulative distribution.
   fCumulativeDist.resize(inputSize);
   for (UInt_t icls = 0; icls < numDist; icls++) {
      for (UInt_t ivar=0; ivar < inputSize; ivar++){
         Float_t* binnings = new Float_t[nbins[icls][ivar]];
         //the binning for this particular histogram:
         for (UInt_t k =0 ; k < nbins[icls][ivar]; k++){
            binnings[k] = vsForBinning[icls][ivar][k];
         }
         fCumulativeDist[ivar].resize(numDist);
         if (fCumulativeDist[ivar][icls] ) {
            delete fCumulativeDist[ivar][icls];
         }
         fCumulativeDist[ivar][icls] = new TH1F(TString::Format("Cumulative_Var%d_cls%d",ivar,icls),
                                                TString::Format("Cumulative_Var%d_cls%d",ivar,icls),
                                                nbins[icls][ivar] -1, // class icls
                                                binnings);
         fCumulativeDist[ivar][icls]->SetDirectory(nullptr);
         delete [] binnings;
      }
   }
 
   // Deallocation
   for (UInt_t i=0; i<numDist; i++) {
      delete [] listsForBinning[numDist-i-1];
      delete [] vsForBinning[numDist-i-1];
      delete [] nbins[numDist-i-1];
   }
   delete [] listsForBinning;
   delete [] vsForBinning;
   delete [] nbins;
 
   // perform event loop
   std::vector<Int_t> ic(numDist);
   for (UInt_t ievt=0; ievt<nevt; ievt++) {
 
      const Event* ev= events[ievt];
      Int_t cls = ev->GetClass();
      Float_t eventWeight = ev->GetWeight();
 
      GetInput( ev, input, mask );
 
      Int_t ivar = 0;
      for( std::vector<Float_t>::iterator itInput = input.begin(), itInputEnd = input.end(); itInput != itInputEnd; ++itInput ) {
         Float_t value = (*itInput);
         fCumulativeDist[ivar][cls]->Fill(value,eventWeight);
         if (numDist>1) fCumulativeDist[ivar][numDist-1]->Fill(value,eventWeight);
 
         ++ivar;
      }
   }
 
   // clean up
   CleanUpCumulativeArrays("PDF");
 
   // now sum up in order to get the real cumulative distribution
   Double_t  sum = 0, total=0;
   fCumulativePDF.resize(inputSize);
   for (UInt_t ivar=0; ivar<inputSize; ivar++) {
      //      fCumulativePDF.resize(ivar+1);
      for (UInt_t icls=0; icls<numDist; icls++) {
         (fCumulativeDist[ivar][icls])->Smooth();
         sum = 0;
         total = 0.;
         for (Int_t ibin=1, ibinEnd=fCumulativeDist[ivar][icls]->GetNbinsX(); ibin <=ibinEnd ; ibin++){
            Float_t val = (fCumulativeDist[ivar][icls])->GetBinContent(ibin);
            if (val>0) total += val;
         }
         for (Int_t ibin=1, ibinEnd=fCumulativeDist[ivar][icls]->GetNbinsX(); ibin <=ibinEnd ; ibin++){
            Float_t val = (fCumulativeDist[ivar][icls])->GetBinContent(ibin);
            if (val>0) sum += val;
            (fCumulativeDist[ivar][icls])->SetBinContent(ibin,sum/total);
         }
         // create PDf
         fCumulativePDF[ivar].push_back(new PDF( TString::Format("GaussTransform var%d cls%d",ivar,icls),  fCumulativeDist[ivar][icls], PDF::kSpline1, fPdfMinSmooth, fPdfMaxSmooth,kFALSE,kFALSE));
      }
   }
}
 
////////////////////////////////////////////////////////////////////////////////
 
void TMVA::VariableGaussTransform::WriteTransformationToStream( std::ostream& ) const
{
   Log() << kFATAL << "VariableGaussTransform::WriteTransformationToStream is obsolete" << Endl;
}
 
////////////////////////////////////////////////////////////////////////////////
/// clean up of cumulative arrays
 
void TMVA::VariableGaussTransform::CleanUpCumulativeArrays(TString opt) {
   if (opt == "ALL" || opt == "PDF"){
      for (UInt_t ivar=0; ivar<fCumulativePDF.size(); ivar++) {
         for (UInt_t icls=0; icls<fCumulativePDF[ivar].size(); icls++) {
            if (0 != fCumulativePDF[ivar][icls]) delete fCumulativePDF[ivar][icls];
         }
      }
      fCumulativePDF.clear();
   }
   if (opt == "ALL" || opt == "Dist"){
      for (UInt_t ivar=0; ivar<fCumulativeDist.size(); ivar++) {
         for (UInt_t icls=0; icls<fCumulativeDist[ivar].size(); icls++) {
            if (0 != fCumulativeDist[ivar][icls]) delete fCumulativeDist[ivar][icls];
         }
      }
      fCumulativeDist.clear();
   }
}
////////////////////////////////////////////////////////////////////////////////
/// create XML description of Gauss transformation
 
void TMVA::VariableGaussTransform::AttachXMLTo(void* parent) {
   void* trfxml = gTools().AddChild(parent, "Transform");
   gTools().AddAttr(trfxml, "Name",        "Gauss");
   gTools().AddAttr(trfxml, "FlatOrGauss", (fFlatNotGauss?"Flat":"Gauss") );
 
   VariableTransformBase::AttachXMLTo( trfxml );
 
   UInt_t nvar = fGet.size();
   for (UInt_t ivar=0; ivar<nvar; ivar++) {
      void* varxml = gTools().AddChild( trfxml, "Variable");
      //      gTools().AddAttr( varxml, "Name",     Variables()[ivar].GetLabel() );
      gTools().AddAttr( varxml, "VarIndex", ivar );
 
      if ( fCumulativePDF[ivar][0]==0 ||
           (fCumulativePDF[ivar].size()>1 && fCumulativePDF[ivar][1]==0 ))
         Log() << kFATAL << "Cumulative histograms for variable " << ivar << " don't exist, can't write it to weight file" << Endl;
 
      for (UInt_t icls=0; icls<fCumulativePDF[ivar].size(); icls++){
         void* pdfxml = gTools().AddChild( varxml, TString::Format("CumulativePDF_cls%d",icls));
         (fCumulativePDF[ivar][icls])->AddXMLTo(pdfxml);
      }
   }
}
 
////////////////////////////////////////////////////////////////////////////////
/// Read the transformation matrices from the xml node
 
void TMVA::VariableGaussTransform::ReadFromXML( void* trfnode ) {
   // clean up first
   CleanUpCumulativeArrays();
   TString FlatOrGauss;
 
   gTools().ReadAttr(trfnode, "FlatOrGauss", FlatOrGauss );
 
   if (FlatOrGauss == "Flat") fFlatNotGauss = kTRUE;
   else                       fFlatNotGauss = kFALSE;
 
   Bool_t newFormat = kFALSE;
 
   void* inpnode = NULL;
 
   inpnode = gTools().GetChild(trfnode, "Selection"); // new xml format
   if( inpnode!=NULL )
      newFormat = kTRUE; // new xml format
 
   void* varnode = NULL;
   if( newFormat ){
      // ------------- new format --------------------
      // read input
      VariableTransformBase::ReadFromXML( inpnode );
 
      varnode = gTools().GetNextChild(inpnode);
   }else
      varnode = gTools().GetChild(trfnode);
 
   // Read the cumulative distribution
 
   TString varname, histname, classname;
   UInt_t ivar;
   while(varnode) {
      if( gTools().HasAttr(varnode,"Name") )
         gTools().ReadAttr(varnode, "Name", varname);
      gTools().ReadAttr(varnode, "VarIndex", ivar);
 
      void* clsnode = gTools().GetChild( varnode);
 
      while(clsnode) {
         void* pdfnode = gTools().GetChild( clsnode);
         PDF* pdfToRead = new PDF(TString("tempName"),kFALSE);
         pdfToRead->ReadXML(pdfnode); // pdfnode
         // push_back PDF
         fCumulativePDF.resize( ivar+1 );
         fCumulativePDF[ivar].push_back(pdfToRead);
         clsnode = gTools().GetNextChild(clsnode);
      }
 
      varnode = gTools().GetNextChild(varnode);
   }
   SetCreated();
}
 
////////////////////////////////////////////////////////////////////////////////
/// Read the cumulative distribution
 
void TMVA::VariableGaussTransform::ReadTransformationFromStream( std::istream& istr, const TString& classname)
{
   TDirectory::TContext dirCtx{nullptr}; // Don't register histograms to current directory
   char buf[512];
   istr.getline(buf,512);
 
   TString strvar, dummy;
 
   while (!(buf[0]=='#'&& buf[1]=='#')) { // if line starts with ## return
      char* p = buf;
      while (*p==' ' || *p=='\t') p++; // 'remove' leading whitespace
      if (*p=='#' || *p=='\0') {
         istr.getline(buf,512);
         continue; // if comment or empty line, read the next line
      }
      std::stringstream sstr(buf);
      sstr >> strvar;
 
      if (strvar=="CumulativeHistogram") {
         UInt_t  type(0), ivar(0);
         TString devnullS(""),hname("");
         Int_t   nbins(0);
 
         // coverity[tainted_data_argument]
         sstr  >> type >> ivar >> hname >> nbins >> fElementsperbin;
 
         Float_t *Binnings = new Float_t[nbins+1];
         Float_t val;
         istr >> devnullS; // read the line "BinBoundaries" ..
         for (Int_t ibin=0; ibin<nbins+1; ibin++) {
            istr >> val;
            Binnings[ibin]=val;
         }
 
         if(ivar>=fCumulativeDist.size()) fCumulativeDist.resize(ivar+1);
         if(type>=fCumulativeDist[ivar].size()) fCumulativeDist[ivar].resize(type+1);
 
         TH1F * histToRead = fCumulativeDist[ivar][type];
         if ( histToRead !=0 ) delete histToRead;
         // recreate the cumulative histogram to be filled with the values read
         histToRead = new TH1F( hname, hname, nbins, Binnings );
         histToRead->SetDirectory(nullptr);
         fCumulativeDist[ivar][type]=histToRead;
 
         istr >> devnullS; // read the line "BinContent" ..
         for (Int_t ibin=0; ibin<nbins; ibin++) {
            istr >> val;
            histToRead->SetBinContent(ibin+1,val);
         }
 
         PDF* pdf = new PDF(hname,histToRead,PDF::kSpline0, 0, 0, kFALSE, kFALSE);
         // push_back PDF
         fCumulativePDF.resize(ivar+1);
         fCumulativePDF[ivar].resize(type+1);
         fCumulativePDF[ivar][type] = pdf;
         delete [] Binnings;
      }
 
      //      if (strvar=="TransformToFlatInsetadOfGauss=") { // don't correct this spelling mistake
      if (strvar=="Uniform") { // don't correct this spelling mistake
         sstr >> fFlatNotGauss;
         istr.getline(buf,512);
         break;
      }
 
      istr.getline(buf,512); // reading the next line
   }
 
   UInt_t classIdx=(classname=="signal")?0:1;
   for(UInt_t ivar=0; ivar<fCumulativePDF.size(); ++ivar) {
      PDF* src = fCumulativePDF[ivar][classIdx];
      fCumulativePDF[ivar].push_back(new PDF(src->GetName(),fCumulativeDist[ivar][classIdx],PDF::kSpline0, 0, 0, kFALSE, kFALSE) );
   }
 
   SetTMVAVersion(TMVA_VERSION(3,9,7));
 
   SetCreated();
}
 
////////////////////////////////////////////////////////////////////////////////
 
Double_t TMVA::VariableGaussTransform::OldCumulant(Float_t x, TH1* h ) const {
 
   Int_t bin = h->FindBin(x);
   bin = TMath::Max(bin,1);
   bin = TMath::Min(bin,h->GetNbinsX());
 
   Double_t cumulant;
   Double_t x0, x1, y0, y1;
   Double_t total = h->GetNbinsX()*fElementsperbin;
   Double_t supmin = 0.5/total;
 
   x0 = h->GetBinLowEdge(TMath::Max(bin,1));
   x1 = h->GetBinLowEdge(TMath::Min(bin,h->GetNbinsX())+1);
 
   y0 = h->GetBinContent(TMath::Max(bin-1,0)); // Y0 = F(x0); Y0 >= 0
   y1 = h->GetBinContent(TMath::Min(bin, h->GetNbinsX()+1));  // Y1 = F(x1);  Y1 <= 1
 
   if (bin == 0) {
      y0 = supmin;
      y1 = supmin;
   }
   if (bin == 1) {
      y0 = supmin;
   }
   if (bin > h->GetNbinsX()) {
      y0 = 1.-supmin;
      y1 = 1.-supmin;
   }
   if (bin == h->GetNbinsX()) {
      y1 = 1.-supmin;
   }
 
   if (x0 == x1) {
      cumulant = y1;
   } else {
      cumulant = y0 + (y1-y0)*(x-x0)/(x1-x0);
   }
 
   if (x <= h->GetBinLowEdge(1)){
      cumulant = supmin;
   }
   if (x >= h->GetBinLowEdge(h->GetNbinsX()+1)){
      cumulant = 1-supmin;
   }
   return cumulant;
}
 
////////////////////////////////////////////////////////////////////////////////
/// prints the transformation
 
void TMVA::VariableGaussTransform::PrintTransformation( std::ostream& )
{
   Int_t cls = 0;
   Log() << kINFO << "I do not know yet how to print this... look in the weight file " << cls << ":" << Endl;
   cls++;
}
 
////////////////////////////////////////////////////////////////////////////////
/// creates the transformation function
///
 
void TMVA::VariableGaussTransform::MakeFunction( std::ostream& fout, const TString& fcncName,
                                                 Int_t part, UInt_t trCounter, Int_t )
{
   const UInt_t nvar = fGet.size();
   UInt_t numDist  = GetNClasses() + 1;
   Int_t nBins = -1;
   for (UInt_t icls=0; icls<numDist; icls++) {
      for (UInt_t ivar=0; ivar<nvar; ivar++) {
         Int_t nbin=(fCumulativePDF[ivar][icls])->GetGraph()->GetN();
         if (nbin > nBins) nBins=nbin;
      }
   }
 
   // creates the gauss transformation function
   if (part==1) {
      fout << std::endl;
      fout << "   int nvar;" << std::endl;
      fout << std::endl;
      // declare variables
      fout << "   double  cumulativeDist["<<nvar<<"]["<<numDist<<"]["<<nBins+1<<"];"<<std::endl;
      fout << "   double  X["<<nvar<<"]["<<numDist<<"]["<<nBins+1<<"];"<<std::endl;
      fout << "   double xMin["<<nvar<<"]["<<numDist<<"];"<<std::endl;
      fout << "   double xMax["<<nvar<<"]["<<numDist<<"];"<<std::endl;
      fout << "   int    nbins["<<nvar<<"]["<<numDist<<"];"<<std::endl;
   }
   if (part==2) {
      fout << std::endl;
      fout << "#include \"math.h\"" << std::endl;
      fout << std::endl;
      fout << "//_______________________________________________________________________" << std::endl;
      fout << "inline void " << fcncName << "::InitTransform_"<<trCounter<<"()" << std::endl;
      fout << "{" << std::endl;
      fout << "   // Gauss/Uniform transformation, initialisation" << std::endl;
      fout << "   nvar=" << nvar << ";" << std::endl;
      for (UInt_t icls=0; icls<numDist; icls++) {
         for (UInt_t ivar=0; ivar<nvar; ivar++) {
            Int_t nbin=(fCumulativePDF[ivar][icls])->GetGraph()->GetN();
            fout << "   nbins["<<ivar<<"]["<<icls<<"]="<<nbin<<";"<<std::endl;
         }
      }
 
      // fill meat here
      // loop over nvar , cls, loop over nBins
      // fill cumulativeDist with fCumulativePDF[ivar][cls])->GetValue(vec(ivar)
      for (UInt_t icls=0; icls<numDist; icls++) {
         for (UInt_t ivar=0; ivar<nvar; ivar++) {
            // Int_t idx = 0;
            try{
               // idx = fGet.at(ivar).second;
               Char_t type = fGet.at(ivar).first;
               if( type != 'v' ){
                  Log() << kWARNING << "MakeClass for the Gauss transformation works only for the transformation of variables. The transformation of targets/spectators is not implemented." << Endl;
               }
            }catch( std::out_of_range &){
               Log() << kWARNING << "MakeClass for the Gauss transformation searched for a non existing variable index (" << ivar << ")" << Endl;
            }
 
            //            Double_t xmn=Variables()[idx].GetMin();
            //            Double_t xmx=Variables()[idx].GetMax();
            Double_t xmn = (fCumulativePDF[ivar][icls])->GetGraph()->GetX()[0];
            Double_t xmx = (fCumulativePDF[ivar][icls])->GetGraph()->GetX()[(fCumulativePDF[ivar][icls])->GetGraph()->GetN()-1];
 
            fout << "    xMin["<<ivar<<"]["<<icls<<"]="<< gTools().StringFromDouble(xmn)<<";"<<std::endl;
            fout << "    xMax["<<ivar<<"]["<<icls<<"]="<<gTools().StringFromDouble(xmx)<<";"<<std::endl;
            for (Int_t ibin=0; ibin<(fCumulativePDF[ivar][icls])->GetGraph()->GetN(); ibin++) {
               fout << "  cumulativeDist[" << ivar << "]["<< icls<< "]["<<ibin<<"]="<< gTools().StringFromDouble((fCumulativePDF[ivar][icls])->GetGraph()->GetY()[ibin])<< ";"<<std::endl;
               fout << "  X[" << ivar << "]["<< icls<< "]["<<ibin<<"]="<< gTools().StringFromDouble((fCumulativePDF[ivar][icls])->GetGraph()->GetX()[ibin])<< ";"<<std::endl;
 
            }
         }
      }
      fout << "}" << std::endl;
      fout << std::endl;
      fout << "//_______________________________________________________________________" << std::endl;
      fout << "inline void " << fcncName << "::Transform_"<<trCounter<<"( std::vector<double>& iv, int clsIn) const" << std::endl;
      fout << "{" << std::endl;
      fout << "   // Gauss/Uniform transformation" << std::endl;
      fout << "   int cls=clsIn;" << std::endl;
      fout << "   if (cls < 0 || cls > "<<GetNClasses()<<") {"<< std::endl;
      fout << "       if ("<<GetNClasses()<<" > 1 ) cls = "<<GetNClasses()<<";"<< std::endl;
      fout << "       else cls = "<<(fCumulativePDF[0].size()==1?0:2)<<";"<< std::endl;
      fout << "   }"<< std::endl;
 
      fout << "   // copy the variables which are going to be transformed                                "<< std::endl;
      VariableTransformBase::MakeFunction(fout, fcncName, 0, trCounter, 0 );
      fout << "   static std::vector<double> dv;                                                          "<< std::endl;
      fout << "   dv.resize(nvar);                                                                       "<< std::endl;
      fout << "   for (int ivar=0; ivar<nvar; ivar++) dv[ivar] = iv[indicesGet.at(ivar)];                "<< std::endl;
      fout << "                                                                                          "<< std::endl;
      fout << "   bool FlatNotGauss = "<< (fFlatNotGauss? "true": "false") <<";                          "<< std::endl;
      fout << "   double cumulant;                                                                       "<< std::endl;
      fout << "   //const int nvar = "<<nvar<<";                                                         "<< std::endl;
      fout << "   for (int ivar=0; ivar<nvar; ivar++) {                                                  "<< std::endl;
      fout << "      int nbin  = nbins[ivar][cls];                                                       "<< std::endl;
      fout << "      int ibin=0;                                                                         "<< std::endl;
      fout << "      while (dv[ivar] > X[ivar][cls][ibin]) ibin++;                                       "<< std::endl;
      fout << "                                                                                          "<< std::endl;
      fout << "      if (ibin<0) { ibin=0;}                                                              "<< std::endl;
      fout << "      if (ibin>=nbin) { ibin=nbin-1;}                                                     "<< std::endl;
      fout << "      int nextbin = ibin;                                                                 "<< std::endl;
      fout << "      if ((dv[ivar] > X[ivar][cls][ibin] && ibin !=nbin-1) || ibin==0)                    "<< std::endl;
      fout << "         nextbin++;                                                                       "<< std::endl;
      fout << "      else                                                                                "<< std::endl;
      fout << "         nextbin--;                                                                       "<< std::endl;
      fout << "                                                                                          "<< std::endl;
      fout << "      double dx = X[ivar][cls][ibin]- X[ivar][cls][nextbin];                              "<< std::endl;
      fout << "      double dy = cumulativeDist[ivar][cls][ibin] - cumulativeDist[ivar][cls][nextbin];   "<< std::endl;
      fout << "      cumulant = cumulativeDist[ivar][cls][ibin] + (dv[ivar] - X[ivar][cls][ibin])* dy/dx;"<< std::endl;
      fout << "                                                                                          "<< std::endl;
      fout << "                                                                                          "<< std::endl;
      fout << "      if (cumulant>1.-10e-10) cumulant = 1.-10e-10;                                       "<< std::endl;
      fout << "      if (cumulant<10e-10)    cumulant = 10e-10;                                          "<< std::endl;
      fout << "      if (FlatNotGauss) dv[ivar] = cumulant;                                              "<< std::endl;
      fout << "      else {                                                                              "<< std::endl;
      fout << "         double maxErfInvArgRange = 0.99999999;                                           "<< std::endl;
      fout << "         double arg = 2.0*cumulant - 1.0;                                                 "<< std::endl;
      fout << "         if (arg >  maxErfInvArgRange) arg= maxErfInvArgRange;                            "<< std::endl;
      fout << "         if (arg < -maxErfInvArgRange) arg=-maxErfInvArgRange;                            "<< std::endl;
      fout << "         double inverf=0., stp=1. ;                                                       "<< std::endl;
      fout << "         while (stp >1.e-10){;                                                            "<< std::endl;
      fout << "            if (erf(inverf)>arg) inverf -=stp ;                                           "<< std::endl;
      fout << "            else if (erf(inverf)<=arg && erf(inverf+stp)>=arg) stp=stp/5. ;               "<< std::endl;
      fout << "            else inverf += stp;                                                           "<< std::endl;
      fout << "         } ;                                                                              "<< std::endl;
      fout << "         //dv[ivar] = 1.414213562*TMath::ErfInverse(arg);                                 "<< std::endl;
      fout << "         dv[ivar] = 1.414213562* inverf;                                                  "<< std::endl;
      fout << "      }                                                                                   "<< std::endl;
      fout << "   }                                                                                      "<< std::endl;
      fout << "   // copy the transformed variables back                                                 "<< std::endl;
      fout << "   for (int ivar=0; ivar<nvar; ivar++) iv[indicesPut.at(ivar)] = dv[ivar];                "<< std::endl;
      fout << "}                                                                                         "<< std::endl;
   }
}