SOLARIS_Analysis/armory/AnalysisLib.h

#ifndef ANALYSIS_LIB_H
#define ANALYSIS_LIB_H

#include <cstdio>
#include <vector>
#include <string>

#include <TMacro.h>
#include <TList.h>

struct DetGeo{
   
  double Bfield;      /// T
  int BfieldSign ;    /// sign of B-field
  double BfieldTheta; /// rad, 0 = z-axis, pi/2 = y axis, pi = -z axis
  double bore;        /// bore , mm
  double detPerpDist;    /// distance from axis
  double detWidth;       /// width   
  double detLength;         /// length
  
  double recoilPos;      /// recoil, downstream
  double recoilInnerRadius;    /// radius recoil inner
  double recoilOuterRadius;   /// radius recoil outter

  double recoilPos1, recoilPos2; /// imaginary recoils

  double elumPos1, elumPos2; /// imaginary elum, only sensitive to light recoil

  double blocker;
  double firstPos;     /// meter

  double eSigma;    /// intrinsic energy resolution MeV
  double zSigma;    /// intrinsic position resolution mm
  
  std::vector<double> pos;  /// near position in meter
  int nDet, mDet;      /// nDet = number of different pos, mDet, number of same pos
  double zMin, zMax;   /// range of detectors

  std::vector<double> detPos; ///absolute position of detector

  bool isCoincidentWithRecoil;

  bool  detFaceOut;    ///detector_facing_Out_or_In

};

struct ReactionConfig{

  int beamA;       
  int beamZ;       
  int targetA;     
  int targetZ;     
  int recoilLightA;
  int recoilLightZ;
  int recoilHeavyA;
  int recoilHeavyZ;
  float beamEnergy;         ///MeV/u
  float beamEnergySigma;    ///beam-energy_sigma_in_MeV/u
  float beamAngle;          ///beam-angle_in_mrad
  float beamAngleSigma;     ///beam-emittance_in_mrad
  float beamX;              ///x_offset_of_Beam_in_mm
  float beamY;              ///y_offset_of_Beam_in_mm
  int numEvents;            ///number_of_Event_being_generated
  bool isTargetScattering;  ///isTargetScattering
  float targetDensity;      ///target_density_in_g/cm3
  float targetThickness;    ///targetThickness_in_cm
  std::string beamStoppingPowerFile;         ///stopping_power_for_beam
  std::string recoilLightStoppingPowerFile;  ///stopping_power_for_light_recoil
  std::string recoilHeavyStoppingPowerFile;  ///stopping_power_for_heavy_recoil
  bool isDecay;        ///isDacay
  int heavyDecayA;     ///decayNucleus_A
  int heavyDecayZ;     ///decayNucleus_Z
  bool isRedo;         ///isReDo
  std::vector<float> beamEx;        ///excitation_energy_of_A[MeV]
  

};

std::vector<std::string> SplitStr(std::string tempLine, std::string splitter, int shift = 0){

  std::vector<std::string> output;

  size_t pos;
  do{
    pos = tempLine.find(splitter); /// fine splitter
    if( pos == 0 ){ ///check if it is splitter again
      tempLine = tempLine.substr(pos+1);
      continue;
    }

    std::string secStr;
    if( pos == std::string::npos ){
      secStr = tempLine;
    }else{
      secStr = tempLine.substr(0, pos+shift);
      tempLine = tempLine.substr(pos+shift);
    }

    ///check if secStr is begin with space
    while( secStr.substr(0, 1) == " ") secStr = secStr.substr(1);
    
    ///check if secStr is end with space
    while( secStr.back() == ' ') secStr = secStr.substr(0, secStr.size()-1);

    output.push_back(secStr);
    ///printf(" |%s---\n", secStr.c_str());
    
  }while(pos != std::string::npos );

  return output;
}

///Using TMacro to load the detectorGeo frist,
///this indrect method is good for loading detectorGeo from TMacro in root file
DetGeo LoadDetectorGeo(TMacro * macro){

  DetGeo detGeo;

  if( macro == NULL ) return detGeo;

  TList * haha = macro->GetListOfLines();
  int numLine = (haha)->GetSize();

  detGeo.pos.clear();

  for( int i = 0 ; i < numLine; i++){

    std::vector<std::string> str = SplitStr(macro->GetListOfLines()->At(i)->GetName(), " ");

    ///printf("%d | %s\n", i,  str[0].c_str());

    if( str[0].find_first_of("#") == 0 ) break;

    if ( i == 0 ) {
      detGeo.Bfield = atof(str[0].c_str());
      detGeo.BfieldSign = detGeo.Bfield > 0 ? 1: -1;
    }
    if ( i ==  1 ) detGeo.BfieldTheta       = atof(str[0].c_str());
    if ( i ==  2 ) detGeo.bore              = atof(str[0].c_str());
    if ( i ==  3 ) detGeo.detPerpDist       = atof(str[0].c_str());
    if ( i ==  4 ) detGeo.detWidth          = atof(str[0].c_str());
    if ( i ==  5 ) detGeo.detLength         = atof(str[0].c_str());
    if ( i ==  6 ) detGeo.recoilPos         = atof(str[0].c_str());
    if ( i ==  7 ) detGeo.recoilInnerRadius = atof(str[0].c_str());
    if ( i ==  8 ) detGeo.recoilOuterRadius = atof(str[0].c_str());
    if ( i ==  9 ) detGeo.isCoincidentWithRecoil = str[0] == "false" ? false: true;
    if ( i == 10 ) detGeo.recoilPos1        = atof(str[0].c_str());
    if ( i == 11 ) detGeo.recoilPos2        = atof(str[0].c_str());
    if ( i == 12 ) detGeo.elumPos1          = atof(str[0].c_str());
    if ( i == 13 ) detGeo.elumPos2          = atof(str[0].c_str());
    if ( i == 14 ) detGeo.blocker           = atof(str[0].c_str());
    if ( i == 15 ) detGeo.firstPos          = atof(str[0].c_str());
    if ( i == 16 ) detGeo.eSigma            = atof(str[0].c_str());
    if ( i == 17 ) detGeo.zSigma            = atof(str[0].c_str());
    if ( i == 18 ) detGeo.detFaceOut        = str[0] == "Out" ? true : false;
    if ( i == 19 ) detGeo.mDet              = atoi(str[0].c_str());
    if ( i >= 20 ) (detGeo.pos).push_back(atof(str[0].c_str()));
  }

  detGeo.nDet = (detGeo.pos).size();
  (detGeo.detPos).clear();
  
  for(int id = 0; id < detGeo.nDet; id++){
    if( detGeo.firstPos > 0 ) detGeo.detPos.push_back(detGeo.firstPos + detGeo.pos[id]);
    if( detGeo.firstPos < 0 ) detGeo.detPos.push_back(detGeo.firstPos - detGeo.pos[detGeo.nDet - 1 - id]);
    ///printf("%d | %f, %f \n", id, detGeo.pos[id], detGeo.detPos[id]);
  }

  detGeo.zMin = TMath::Min(detGeo.detPos.front(), detGeo.detPos.back()) - (detGeo.firstPos < 0 ? detGeo.detLength : 0);
  detGeo.zMax = TMath::Max(detGeo.detPos.front(), detGeo.detPos.back()) + (detGeo.firstPos > 0 ? detGeo.detLength : 0);
  
  return detGeo;
}

void PrintDetGeo(DetGeo detGeo){

  printf("=====================================================\n");
  printf("                 B-field: %8.2f  T, Theta : %6.2f deg \n", detGeo.Bfield, detGeo.BfieldTheta);
  if( detGeo.BfieldTheta != 0.0 ) {
    printf("                                      +---- field angle != 0 is not supported!!! \n");
  }
  printf("     Recoil detector pos: %8.2f mm, radius: %6.2f - %6.2f mm \n", detGeo.recoilPos, detGeo.recoilInnerRadius, detGeo.recoilOuterRadius);
  printf("        Blocker Position: %8.2f mm \n", detGeo.firstPos > 0 ? detGeo.firstPos - detGeo.blocker : detGeo.firstPos + detGeo.blocker );
  printf("          First Position: %8.2f mm \n", detGeo.firstPos);
  printf("------------------------------------- Detector Position \n");
  for(int i = 0; i < detGeo.nDet ; i++){
     if( detGeo.firstPos > 0 ){
        printf("%d, %8.2f mm - %8.2f mm \n", i, detGeo.detPos[i], detGeo.detPos[i] + detGeo.detLength);
     }else{
        printf("%d, %8.2f mm - %8.2f mm \n", i, detGeo.detPos[i] - detGeo.detLength , detGeo.detPos[i]);
     }
  }

  printf("   number of det : %d x %d \n", detGeo.mDet, detGeo.nDet);
  printf(" detector facing : %s\n", detGeo.detFaceOut ? "Out" : "In");
  printf("    energy resol.: %f MeV\n", detGeo.eSigma);
  printf("     pos-Z resol.: %f mm \n", detGeo.zSigma);

  if( detGeo.elumPos1 != 0 || detGeo.elumPos2 != 0 || detGeo.recoilPos1 != 0 || detGeo.recoilPos2 != 0){
    printf("=================================== Auxillary/Imaginary Detectors\n");
  }
  if( detGeo.elumPos1 != 0 )   printf("   Elum 1 pos.: %f mm \n", detGeo.elumPos1);
  if( detGeo.elumPos2 != 0 )   printf("   Elum 2 pos.: %f mm \n", detGeo.elumPos2);
  if( detGeo.recoilPos1 != 0 ) printf(" Recoil 1 pos.: %f mm \n", detGeo.recoilPos1);
  if( detGeo.recoilPos2 != 0 ) printf(" Recoil 2 pos.: %f mm \n", detGeo.recoilPos2);
  printf("=====================================================\n");

}

ReactionConfig LoadReactionConfig(TMacro * macro){

  ReactionConfig reaction;

  if( macro == NULL ) return reaction;

  int numLine = macro->GetListOfLines()->GetSize();

  for( int i = 0; i < numLine; i ++){

    std::vector<std::string> str = SplitStr(macro->GetListOfLines()->At(i)->GetName(), " ");

    ///printf("%d | %s\n", i,  str[0].c_str());

    if( str[0].find_first_of("#") == 0 ) break;

    if( i == 0 ) reaction.beamA           = atoi(str[0].c_str());
    if( i == 1 ) reaction.beamZ           = atoi(str[0].c_str());
    if( i == 2 ) reaction.targetA         = atoi(str[0].c_str());
    if( i == 3 ) reaction.targetZ         = atoi(str[0].c_str());
    if( i == 4 ) reaction.recoilLightA    = atoi(str[0].c_str());
    if( i == 5 ) reaction.recoilLightZ    = atoi(str[0].c_str());
    if( i == 6 ) reaction.beamEnergy      = atof(str[0].c_str());
    if( i == 7 ) reaction.beamEnergySigma = atof(str[0].c_str());
    if( i == 8 ) reaction.beamAngle       = atof(str[0].c_str());
    if( i == 9 ) reaction.beamAngleSigma  = atof(str[0].c_str());
    if( i == 10 ) reaction.beamX = atof(str[0].c_str());
    if( i == 11 ) reaction.beamY = atof(str[0].c_str());
    if( i == 12 ) reaction.numEvents = atoi(str[0].c_str());
    if( i == 13 ) {
      if( str[0].compare("false") == 0 ) reaction.isTargetScattering = false;
      if( str[0].compare("true")  == 0 ) reaction.isTargetScattering = true;
    }
    if( i == 14 ) reaction.targetDensity   = atof(str[0].c_str());
    if( i == 15 ) reaction.targetThickness = atof(str[0].c_str());
    if( i == 16 ) reaction.beamStoppingPowerFile = str[0];
    if( i == 17 ) reaction.recoilLightStoppingPowerFile = str[0];
    if( i == 18 ) reaction.recoilHeavyStoppingPowerFile = str[0];
    if( i == 19 ) {
      if( str[0].compare("false") == 0 ) reaction.isDecay = false;
      if( str[0].compare("true")  == 0 ) reaction.isDecay = true;
    }
    if( i == 20 ) reaction.heavyDecayA = atoi(str[0].c_str());
    if( i == 21 ) reaction.heavyDecayZ = atoi(str[0].c_str());
    if( i == 22 ) {
      if( str[0].compare("false") == 0 ) reaction.isRedo = false;
      if( str[0].compare("true" ) == 0 ) reaction.isRedo = true;
    }
    
    if( i >= 23) {
      reaction.beamEx.push_back( atof(str[0].c_str()) );
    }
  }

  reaction.recoilHeavyA = reaction.beamA + reaction.targetA - reaction.recoilLightA;
  reaction.recoilHeavyZ = reaction.beamZ + reaction.targetZ - reaction.recoilLightZ;
  
  return reaction;

}

void PrintReactionConfig(ReactionConfig reaction){

  printf("=====================================================\n");
  printf("   beam : A = %3d, Z = %2d \n", reaction.beamA, reaction.beamZ);
  printf(" target : A = %3d, Z = %2d \n", reaction.targetA, reaction.targetZ);
  printf("  light : A = %3d, Z = %2d \n", reaction.recoilLightA, reaction.recoilLightZ);

  printf(" beam Energy : %.2f +- %.2f MeV/u, dE/E = %5.2f %%\n", reaction.beamEnergy, reaction.beamEnergySigma, reaction.beamEnergySigma/reaction.beamEnergy);
  printf("       Angle : %.2f +- %.2f mrad\n", reaction.beamAngle, reaction.beamAngleSigma);
  printf("      offset : (x,y) = (%.2f, %.2f) mmm \n", reaction.beamX, reaction.beamY);

  printf("##### number of Simulation Events : %d \n", reaction.numEvents);
  
  printf("    is target scattering : %s \n", reaction.isTargetScattering ? "Yes" : "No");

  if(reaction.isTargetScattering){
    printf(" target density : %.f g/cm3\n", reaction.targetDensity);
    printf("      thickness : %.f cm\n", reaction.targetThickness);
    printf("         beam stopping file : %s \n", reaction.beamStoppingPowerFile.c_str());
    printf(" recoil light stopping file : %s \n", reaction.recoilLightStoppingPowerFile.c_str());
    printf(" recoil heavy stopping file : %s \n", reaction.recoilHeavyStoppingPowerFile.c_str());
  }
  
  printf("       is simulate decay : %s \n", reaction.isDecay ? "Yes" : "No");
  if( reaction.isDecay ){
    printf(" heavy decay : A = %d, Z = %d \n", reaction.heavyDecayA, reaction.heavyDecayZ);
  }
  printf(" is Redo until hit array : %s \n", reaction.isRedo ? "Yes" : "No");

  printf(" beam Ex : %.2f MeV \n", reaction.beamEx[0]);
  for( int i = 1; i < (int) reaction.beamEx.size(); i++){
    printf("         %.2f MeV \n", reaction.beamEx[i]);
  }
  
  printf("=====================================================\n");

}


std::vector<std::vector<double>> combination(std::vector<double> arr, int r){
  
  std::vector<std::vector<double>> output;
  
  int n = arr.size();
  std::vector<int> v(n);
  std::fill(v.begin(), v.begin()+r, 1);
  do {
    //for( int i = 0; i < n; i++) { printf("%d ", v[i]); }; printf("\n");
    
    std::vector<double> temp;
    for (int i = 0; i < n; ++i) { 
      if (v[i]) {
        //printf("%.1f, ", arr[i]); 
        temp.push_back(arr[i]);
      }
    }
    //printf("\n");
    
    output.push_back(temp);
    
  } while (std::prev_permutation(v.begin(), v.end()));
  
  return output;
}

double* sumMeanVar(std::vector<double> data){
  
  int n = data.size();
  double sum = 0;
  for( int k = 0; k < n; k++) sum += data[k];
  double mean = sum/n;
  double var = 0;
  for( int k = 0; k < n; k++) var += pow(data[k] - mean,2);
  
  static double output[3];
  output[0] = sum;
  output[1] = mean;
  output[2] = var;
  
  return output;
}

double*  fitSlopeIntercept(std::vector<double> dataX, std::vector<double> dataY){
  
  double * smvY = sumMeanVar(dataY);
  double sumY = smvY[0];
  double meanY = smvY[1];

  double * smvX = sumMeanVar(dataX);
  double sumX = smvX[0];
  double meanX = smvX[1];
  double varX = smvX[2];
  
  int n = dataX.size();
  double sumXY = 0;
  for( int j = 0; j < n; j++) sumXY += dataX[j] * dataY[j];

  double slope = ( sumXY - sumX * sumY/n ) / varX;
  double intercept = meanY - slope * meanX;
  
  static double output[2];
  output[0] = slope;
  output[1] = intercept;
  
  return output;
  
}

std::vector<std::vector<double>> FindMatchingPair(std::vector<double> enX, std::vector<double> enY){

   //output[0] = fitEnergy;
   //output[1] = refEnergy;

   int nX = enX.size();
   int nY = enY.size();
   
   std::vector<double> fitEnergy;
   std::vector<double> refEnergy;
   
   if( nX > nY ){
      
      std::vector<std::vector<double>> output = combination(enX, nY);
      
      double * smvY = sumMeanVar(enY);
      double sumY = smvY[0];
      double meanY = smvY[1];
      double varY = smvY[2];
      
      double optRSquared = 0;
      double absRSqMinusOne = 1;
      int maxID = 0;
      
      for( int k = 0; k < (int) output.size(); k++){
        
        double * smvX = sumMeanVar(output[k]);
        double sumX = smvX[0];
        double meanX = smvX[1];
        double varX = smvX[2];
        
        double sumXY = 0;
        for( int j = 0; j < nY; j++) sumXY += output[k][j] * enY[j];
        
        double rSq = abs(sumXY - sumX*sumY/nY)/sqrt(varX*varY);
        
        //for( int j = 0; j < nY ; j++){ printf("%.1f, ", output[k][j]); }; printf("| %.10f\n", rSq);
        
        if( abs(rSq-1) < absRSqMinusOne ) {
          absRSqMinusOne = abs(rSq-1);
          optRSquared = rSq;
          maxID = k;
        }
      }
      
      fitEnergy = output[maxID];
      refEnergy = enY;
      
      printf(" R^2 : %.20f\n", optRSquared);      
      
      //calculation fitting coefficient
      //double * si = fitSlopeIntercept(fitEnergy, refEnergy);
      //printf( " y = %.4f x + %.4f\n", si[0], si[1]);
      
    }else if( nX < nY ){
    
      std::vector<std::vector<double>> output = combination(enY, nX);
      
      
      double * smvX = sumMeanVar(enX);
      double sumX = smvX[0];
      double meanX = smvX[1];
      double varX = smvX[2];
      
      double optRSquared = 0;
      double absRSqMinusOne = 1;
      int maxID = 0;
      
      for( int k = 0; k < (int) output.size(); k++){
        
        double * smvY = sumMeanVar(output[k]);
        double sumY = smvY[0];
        double meanY = smvY[1];
        double varY = smvY[2];
        
        double sumXY = 0;
        for( int j = 0; j < nX; j++) sumXY += output[k][j] * enX[j];
        
        double rSq = abs(sumXY - sumX*sumY/nX)/sqrt(varX*varY);
        
        //for( int j = 0; j < nX ; j++){ printf("%.1f, ", output[k][j]); }; printf("| %.10f\n", rSq);
        
        if( abs(rSq-1) < absRSqMinusOne ) {
          absRSqMinusOne = abs(rSq-1);
          optRSquared = rSq;
          maxID = k;
        }
      }
      
      fitEnergy = enX;
      refEnergy = output[maxID];
      printf(" R^2 : %.20f\n", optRSquared);   
    
    }else{
      fitEnergy = enX;
      refEnergy = enY;
      
      //if nX == nY, ther could be cases that only partial enX and enY are matched. 
      
    }
    
    
    printf("fitEnergy = ");for( int k = 0; k < (int) fitEnergy.size() ; k++){ printf("%7.2f, ", fitEnergy[k]); }; printf("\n");
    printf("refEnergy = ");for( int k = 0; k < (int) refEnergy.size() ; k++){ printf("%7.2f, ", refEnergy[k]); }; printf("\n");
    
    std::vector<std::vector<double>> haha;
    haha.push_back(fitEnergy);
    haha.push_back(refEnergy);
    
    return haha;
   
}


#endif