ALIUtils.cc

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//   COCOA class implementation file
//Id:  ALIUtils.cc
//CAT: ALIUtils
//
//   History: v1.0 
//   Pedro Arce

#include "Alignment/CocoaUtilities/interface/ALIUtils.h"
#include "Alignment/CocoaUtilities/interface/GlobalOptionMgr.h"

#include <math.h>
#include <stdlib.h>
#include <iomanip>


ALIint ALIUtils::debug = -1;
ALIint ALIUtils::report = 1;
ALIdouble ALIUtils::_LengthValueDimensionFactor = 1.;
ALIdouble ALIUtils::_LengthSigmaDimensionFactor = 1.;
ALIdouble ALIUtils::_AngleValueDimensionFactor = 1.;
ALIdouble ALIUtils::_AngleSigmaDimensionFactor = 1.;
ALIdouble ALIUtils::_OutputLengthValueDimensionFactor = 1.;
ALIdouble ALIUtils::_OutputLengthSigmaDimensionFactor = 1.;
ALIdouble ALIUtils::_OutputAngleValueDimensionFactor = 1.;
ALIdouble ALIUtils::_OutputAngleSigmaDimensionFactor = 1.;
time_t ALIUtils::_time_now;
ALIdouble ALIUtils::deg = 0.017453293;
ALIbool ALIUtils::firstTime = false;
ALIdouble ALIUtils::maximum_deviation_derivative = 1.E-6;

//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ CHECKS THAT EVERY CHARACTER IN A STRING IS NUMBER, ELSE GIVES AN ERROR
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
int ALIUtils::IsNumber( const ALIstring& str)
{
  int isnum = 1;
  int numE = 0;
  for(ALIuint ii=0; ii<str.length(); ii++){
    if(!isdigit(str[ii]) && str[ii]!='.' && str[ii]!='-' && str[ii]!='+') {
      //--- check for E(xponential)
      if(str[ii] == 'E' || str[ii] == 'e' ) {
        if(numE != 0 || ii == str.length()-1)  {
      isnum = 0;
      break;
    }
    numE++;
      } else {
    isnum = 0; 
    break;
      }
    }
  }
 
  return isnum;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Dump a Hep3DVector with the chosen precision
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::dump3v( const CLHEP::Hep3Vector& vec, const std::string& msg) 
{
  //  double phicyl = atan( vec.y()/vec.x() );
  std::cout << msg << std::setprecision(8) << vec;
  std::cout << std::endl;
  //  std::cout << " " << vec.theta()/deg << " " << vec.phi()/deg << " " << vec.perp() << " " << phicyl/deg << std::endl; 
  //  setw(10);
  //  std::cout << msg << " x=" << std::setprecision(8) << vec.x() << " y=" << setprecision(8) <<vec.y() << " z=" << std::setprecision(8) << vec.z() << std::endl;
  // std::setprecision(8);

}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::dumprm( const CLHEP::HepRotation& rm, const std::string& msg, std::ostream& out) 
{

  out << msg << " xx=" << rm.xx() << " xy=" << rm.xy() << " xz=" << rm.xz() << std::endl;
  out << msg << " yx=" << rm.yx() << " yy=" << rm.yy() << " yz=" << rm.yz() << std::endl;
  out << msg << " zx=" << rm.zx() << " zy=" << rm.zy() << " zz=" << rm.zz() << std::endl;

}
 

//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Set the dimension factor to convert input length values and errors to
//@@  the dimension of errors
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::SetLengthDimensionFactors()
{
//---------------------------------------- if it doesn exist, GlobalOptions is 0
  //---------- Calculate factors to convert to meters
  GlobalOptionMgr* gomgr = GlobalOptionMgr::getInstance();
  ALIint ad = ALIint(gomgr->getGlobalOption("length_value_dimension"));

  _LengthValueDimensionFactor = CalculateLengthDimensionFactorFromInt( ad );
  ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("length_error_dimension"
) ]);
  _LengthSigmaDimensionFactor = CalculateLengthDimensionFactorFromInt( ad );

  //---------- Change factor to convert to error dimensions
  //  _LengthValueDimensionFactor /= _LengthSigmaDimensionFactor;
  //_LengthSigmaDimensionFactor = 1;

  if(ALIUtils::debug >= 6) std::cout <<  _LengthValueDimensionFactor << " Set Length DimensionFactors " << _LengthSigmaDimensionFactor << std::endl; 
   
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Set the dimension factor to convert input angle values and errors to 
//@@  the dimension of errors
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::SetAngleDimensionFactors()
{
//--------------------- if it doesn exist, GlobalOptions is 0
  //---------- Calculate factors to convert to radians
  GlobalOptionMgr* gomgr = GlobalOptionMgr::getInstance();
  ALIint ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("angle_value_dimension") ]);
  _AngleValueDimensionFactor = CalculateAngleDimensionFactorFromInt(ad);

  ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("angle_error_dimension"
) ]);
  _AngleSigmaDimensionFactor = CalculateAngleDimensionFactorFromInt(ad);

  //---------- Change factor to convert to error dimensions
  //  _AngleValueDimensionFactor /= _AngleSigmaDimensionFactor;
  //_AngleSigmaDimensionFactor = 1;

  if(ALIUtils::debug >= 6) std::cout <<  _AngleValueDimensionFactor <<  "Set Angle DimensionFactors" << _AngleSigmaDimensionFactor << std::endl; 
   
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Set the dimension factor to convert input length values and errors to
//@@  the dimension of errors
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::SetOutputLengthDimensionFactors()
{
//---------------------------------------- if it doesn exist, GlobalOptions is 0
  //---------- Calculate factors to convert to meters
  GlobalOptionMgr* gomgr = GlobalOptionMgr::getInstance();
  ALIint ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("output_length_value_dimension") ]);
  if( ad == 0 ) ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("length_value_dimension") ]);
  _OutputLengthValueDimensionFactor = CalculateLengthDimensionFactorFromInt( ad );

  ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("output_length_error_dimension"
) ]);
  if( ad == 0 ) ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("length_error_dimension"
) ]);
  _OutputLengthSigmaDimensionFactor = CalculateLengthDimensionFactorFromInt( ad );

  //---------- Change factor to convert to error dimensions
  //  _LengthValueDimensionFactor /= _LengthSigmaDimensionFactor;
  //_LengthSigmaDimensionFactor = 1;

  if(ALIUtils::debug >= 6) std::cout <<  _OutputLengthValueDimensionFactor << "Output Length Dimension Factors" << _OutputLengthSigmaDimensionFactor << std::endl; 
   
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Set the dimension factor to convert input angle values and errors to 
//@@  the dimension of errors
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
void ALIUtils::SetOutputAngleDimensionFactors()
{
//--------------------- if it doesn exist, GlobalOptions is 0
  //---------- Calculate factors to convert to radians
  GlobalOptionMgr* gomgr = GlobalOptionMgr::getInstance();
  ALIint ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("output_angle_value_dimension") ]);
  if( ad == 0 ) ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("angle_value_dimension") ]);
  _OutputAngleValueDimensionFactor = CalculateAngleDimensionFactorFromInt(ad);


  ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("output_angle_error_dimension") ]);
  if( ad == 0) ad =  ALIint(gomgr->GlobalOptions()[ ALIstring("angle_error_dimension") ]);
  _OutputAngleSigmaDimensionFactor = CalculateAngleDimensionFactorFromInt(ad);

  //---------- Change factor to convert to error dimensions
  //  _AngleValueDimensionFactor /= _AngleSigmaDimensionFactor;
  //_AngleSigmaDimensionFactor = 1;

  if(ALIUtils::debug >= 9) std::cout <<  _OutputAngleValueDimensionFactor <<  "Output Angle Dimension Factors" << _OutputAngleSigmaDimensionFactor << std::endl; 
   
}



//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Calculate dimension factor to convert any length values and errors to meters
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
ALIdouble ALIUtils::CalculateLengthDimensionFactorFromString( ALIstring dimstr )
{
  ALIdouble valsig = 1.;
  ALIstring internalDim = "m";
  if(internalDim == "m" ){
    if( dimstr == "m" ) {
      valsig = 1.;
    }else if( dimstr == "mm" ) {
      valsig = 1.E-3;
    }else if( dimstr == "mum" ) {
      valsig = 1.E-6;
    }else if( dimstr == "cm" ) {
      valsig = 1.E-2;
    }else {
      std::cerr << "!!! UNKNOWN DIMENSION SCALING " << dimstr << std::endl <<
    "VALUE MUST BE BETWEEN 0 AND 3 " << std::endl;
      exit(1);
    }
  }else if(internalDim == "mm" ){
    if( dimstr == "m" ) {
      valsig = 1.E3;
    }else if( dimstr == "mm" ) {
      valsig = 1.;
    }else if( dimstr == "mum" ) {
      valsig = 1.E-3;
    }else if( dimstr == "cm" ) {
      valsig = 1.E+1;
    }else {
      std::cerr << "!!! UNKNOWN DIMENSION SCALING: " << dimstr << std::endl <<
    "VALUE MUST BE A LENGTH DIMENSION " << std::endl;
      exit(1);
    }
  }

  return valsig;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Calculate dimension factor to convert any angle values and errors to radians
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
ALIdouble ALIUtils::CalculateAngleDimensionFactorFromString( ALIstring dimstr )
{
  ALIdouble valsig;
  if( dimstr == "rad" ) {
    valsig = 1.;
  }else 
  if( dimstr == "mrad" ) {
    valsig = 1.E-3;
  }else 
  if( dimstr == "murad" ) {
    valsig = 1.E-6;
  }else 
  if( dimstr == "deg" ) {
    valsig = M_PI/180.;
  }else 
  if( dimstr == "grad" ) {
    valsig = M_PI/200.;
  }else {
    std::cerr << "!!! UNKNOWN DIMENSION SCALING: " << dimstr << std::endl <<
      "VALUE MUST BE AN ANGLE DIMENSION " << std::endl;
    exit(1);
  }

  return valsig;
}

//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Calculate dimension factor to convert any length values and errors to meters
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
ALIdouble ALIUtils::CalculateLengthDimensionFactorFromInt( ALIint ad )
{
  ALIdouble valsig;
  switch ( ad ) {
    case 0:                  //----- metres
      valsig = CalculateLengthDimensionFactorFromString( "m" );
      break;
    case 1:                  //----- milimetres
      valsig = CalculateLengthDimensionFactorFromString( "mm" );
      break;
    case 2:                  //----- micrometres
      valsig = CalculateLengthDimensionFactorFromString( "mum" );
      break;
    case 3:                  //----- centimetres
      valsig = CalculateLengthDimensionFactorFromString( "cm" );
      break;
    default:
      std::cerr << "!!! UNKNOWN DIMENSION SCALING " << ad << std::endl <<
              "VALUE MUST BE BETWEEN 0 AND 3 " << std::endl;
      exit(1);
  }

  // use microradinas instead of radians
  //-  valsig *= 1000000.;

  return valsig;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
//@@ Calculate dimension factor to convert any angle values and errors to radians
//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
ALIdouble ALIUtils::CalculateAngleDimensionFactorFromInt( ALIint ad )
{
  ALIdouble valsig;
  switch ( ad ) {
    case 0:                  //----- radians
      valsig = CalculateAngleDimensionFactorFromString( "rad" );
      break;
    case 1:                  //----- miliradians
      valsig = CalculateAngleDimensionFactorFromString( "mrad" );
      break;
    case 2:                  //----- microradians
      valsig = CalculateAngleDimensionFactorFromString( "murad" );
      break;
    case 3:                  //----- degrees
      valsig = CalculateAngleDimensionFactorFromString( "deg" );
      break;
    case 4:                  //----- grads
      valsig = CalculateAngleDimensionFactorFromString( "grad" );
      break;
    default:
      std::cerr << "!!! UNKNOWN DIMENSION SCALING " << ad << std::endl <<
              "VALUE MUST BE BETWEEN 0 AND 3 " << std::endl;
      exit(1);
  }

  // use microradinas instead of radians
  //-  valsig *= 1000000.;

  return valsig;
}

/*template<class T>
 ALIuint FindItemInVector( const T* item, const std::vector<T*> std::vector )
{

}
*/

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
void ALIUtils::dumpDimensions( std::ofstream& fout ) 
{
  fout << "DIMENSIONS: lengths = ";
  ALIstring internalDim = "m";
  if(_OutputLengthValueDimensionFactor == 1. ) { 
    fout << "m";
  }else if(_OutputLengthValueDimensionFactor == 1.E-3 ) { 
    fout << "mm";
  }else if(_OutputLengthValueDimensionFactor == 1.E-6 ) { 
    fout << "mum";
  }else if(_OutputLengthValueDimensionFactor == 1.E-2 ) { 
    fout << "cm";
  } else {
    std::cerr << " !! unknown OutputLengthValueDimensionFactor " << _OutputLengthValueDimensionFactor << std::endl;
    exit(1);
  }

  fout << " +- ";
  if(_OutputLengthSigmaDimensionFactor == 1. ) { 
    fout << "m";
  }else if(_OutputLengthSigmaDimensionFactor == 1.E-3 ) { 
    fout << "mm";
  }else if(_OutputLengthSigmaDimensionFactor == 1.E-6 ) { 
    fout << "mum";
  }else if(_OutputLengthSigmaDimensionFactor == 1.E-2 ) { 
    fout << "cm";
  } else {
    std::cerr << " !! unknown OutputLengthSigmaDimensionFactor " << _OutputLengthSigmaDimensionFactor << std::endl;
    exit(1);
  }
    
  fout << "  angles = ";
  if(_OutputAngleValueDimensionFactor == 1. ) { 
    fout << "rad";
  }else if(_OutputAngleValueDimensionFactor == 1.E-3 ) { 
    fout << "mrad";
  }else if(_OutputAngleValueDimensionFactor == 1.E-6 ) { 
    fout << "murad";
  }else if(_OutputAngleValueDimensionFactor == M_PI/180. ) { 
    fout << "deg";
  }else if(_OutputAngleValueDimensionFactor == M_PI/200. ) { 
    fout << "grad";
  } else {
    std::cerr << " !! unknown OutputAngleValueDimensionFactor " << _OutputAngleValueDimensionFactor << std::endl;
    exit(1);
  }

  fout << " +- ";
  if(_OutputAngleSigmaDimensionFactor == 1. ) { 
    fout << "rad";
  }else if(_OutputAngleSigmaDimensionFactor == 1.E-3 ) { 
    fout << "mrad";
  }else if(_OutputAngleSigmaDimensionFactor == 1.E-6 ) { 
    fout << "murad";
  }else if(_OutputAngleSigmaDimensionFactor == M_PI/180. ) { 
    fout << "deg";
  }else if(_OutputAngleSigmaDimensionFactor == M_PI/200. ) { 
    fout << "grad";
  } else {
    std::cerr << " !! unknown OutputAngleSigmaDimensionFactor " << _OutputAngleSigmaDimensionFactor << std::endl;
    exit(1);
  }
  fout << std::endl;

}

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
double ALIUtils::getFloat( const ALIstring& str ) 
{
  //----------- first check that it is a number
  if(!IsNumber(str) ) {
    std::cerr << "!!!! EXITING: trying to get the float from a string that is not a number " << str << std::endl;
    exit(1);
  }

  return atof( str.c_str() );
}


//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
int ALIUtils::getInt( const ALIstring& str ) 
{
  //----------- first check that it is an integer
  if(!IsNumber(str) ) {
    //----- Check that it is a number 
    std::cerr << "!!!! EXITING: trying to get the integer from a string that is not a number " << str << std::endl;
    exit(1);
  } else {
    //----- Check that it is not a float, no decimal or E-n
    bool isFloat = 0;
    int ch = str.find('.');
    ALIuint ii = 0;
    if(ch != -1 ) {
      for( ii = ch+1; ii < str.size(); ii++) {
    if( str[ii] != '0' ) isFloat = 1;
      }
    }

    ch = str.find('E');
    if(ch != -1 ) ch = str.find('e');
    if(ch != -1 ) {
      if(str[ch+1] == '-') isFloat = 1;
    }

    if(isFloat) {
      std::cerr << "!!!! EXITING: trying to get the integer from a string that is a float: " << str << std::endl;
      std::cerr << ii << " ii "  << ch <<std::endl;
      exit(1);
    }
  }
  return int( atof( str.c_str() ) );
}



//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
bool ALIUtils::getBool( const ALIstring& str ) 
{
   bool val;
  
 //t str = upper( str );
  //----------- first check that it is a not number
  if( str == "ON" || str == "TRUE"  ) {
    val = true;
  } else if( str == "OFF" || str == "FALSE" ) {
    val = false;
  } else {
    std::cerr << "!!!! EXITING: trying to get the float from a string that is not 'ON'/'OFF'/'TRUE'/'FALSE' " << str << std::endl;
    exit(1);
  }

  return val;
}

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
ALIstring ALIUtils::subQuotes( const ALIstring& str ) 
{
  
  //---------- Take out leading and trailing '"'
  if( str.find('"') != 0 || str.rfind('"') != str.length()-1 ) { 
    std::cerr << "!!!EXITING trying to substract quotes from a word that has no quotes " << str << std::endl;
    exit(1);
  }

  //  str = str.strip(ALIstring::both, '\"');
  //---------- Take out leading and trallling '"'
  ALIstring strt = str.substr(1,str.size()-2);

  //-  std::cout << " subquotes " << str << std::endl;
  //---------- Look for leading spaces
  while( strt[0] == ' ' ) {
   strt = strt.substr(1,strt.size()-1);
  }

  //---------- Look for trailing spaces
  while( strt[strt.size()-1] == ' ' ) {
   strt = strt.substr(0,strt.size()-1);
  }

  return strt;

}

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
void ALIUtils::dumpVS( const std::vector<ALIstring>& wl , const std::string& msg, std::ostream& outs ) 
{
  outs << msg << std::endl;
  ALIuint siz = wl.size();
  for( ALIuint ii=0; ii< siz; ii++ ){
    outs << wl[ii] << " ";
    /*  ostream_iterator<ALIstring> os(outs," ");
    copy(wl.begin(), wl.end(), os);*/
  }
  outs << std::endl;
}


//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
ALIdouble ALIUtils::getDimensionValue( const ALIstring& dim, const ALIstring& dimType )
{
  ALIdouble value;
  if( dimType == "Length" ) {
    if( dim == "mm" ) {
      value = 1.E-3;
    }else if( dim == "cm" ) {
      value = 1.E-2;
    }else if( dim == "m" ) {
      value = 1.;
    }else if( dim == "mum" ) {
      value = 1.E-6;
    }else if( dim == "dm" ) {
      value = 1.E-1;
    }else if( dim == "nm" ) {
      value = 1.E-9;
    }else {
      std::cerr << "!!!!FATAL ERROR:  ALIUtils::GetDimensionValue. " << dim << " is a dimension not supported for dimension type " << dimType << std::endl;
      abort();
    }
  } else if( dimType == "Angle" ) {
    if( dim == "rad" ) {
      value = 1.;
    }else if( dim == "mrad" ) {
      value = 1.E-3;
    }else if( dim == "murad" ) {
      value = 1.E-6;
    }else if( dim == "deg" ) {
      value = M_PI/180.;
    }else if( dim == "grad" ) {
      value = M_PI/200.;
    }else {
      std::cerr << "!!!!FATAL ERROR:  ALIUtils::GetDimensionValue. " << dim << " is a dimension not supported for dimension type " << dimType << std::endl;
      abort();
    }
  }else {
      std::cerr << "!!!!FATAL ERROR:  ALIUtils::GetDimensionValue. " << dimType << " is a dimension type not supported " << std::endl;
      abort();
  }

  return value;

}


/*
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
std::ostream& operator << (std::ostream& os, const CLHEP::HepRotation& rm)
{

  return os << " xx=" << rm.xx() << " xy=" << rm.xy() << " xz=" << rm.xz() << std::endl
        << " yx=" << rm.yx() << " yy=" << rm.yy() << " yz=" << rm.yz() << std::endl
        << " zx=" << rm.zx() << " zy=" << rm.zy() << " zz=" << rm.zz() << std::endl;

}
*/

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
std::string ALIUtils::changeName( const std::string& oldName, const std::string& subsstr1,  const std::string& subsstr2 )
{

  std::string newName = oldName;
  int il = oldName.find( subsstr1 );
  //  std::cout << " il " << il << " oldname " << oldName << " " << subsstr1 << std::endl;
  while( il >= 0 ) {
    newName = newName.substr( 0, il ) + subsstr2 +  newName.substr( il+subsstr1.length(), newName.length() );
    //    std::cout << " dnewName " << newName << " " << newName.substr( 0, il ) << " " << subsstr2 << " " << newName.substr( il+subsstr1.length(), newName.length() ) << std::endl;
    il = oldName.find( subsstr1, il+1 );  
  }

  return newName;
}



//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
std::vector<double> ALIUtils::getRotationAnglesFromMatrix( CLHEP::HepRotation& rmLocal, double origAngleX, double origAngleY, double origAngleZ )
{
  double pii = acos(0.)*2;
  std::vector<double> newang(3);
  double angleX = origAngleX;
  double angleY = origAngleY;
  double angleZ = origAngleZ;

  if( ALIUtils::debug >= 4 ) {
    std::cout << " angles as value entries: X= " << angleX << " Y= " << angleY << " Z " << angleZ << std::endl;
  }

  //-  std::cout << name () << " vdbf " << angleX << " " << angleY << " " << angleZ << std::endl;
  double rotzx = approxTo0( rmLocal.zx() );
  double rotzy = approxTo0( rmLocal.zy() );
  double rotzz = approxTo0( rmLocal.zz() );
  double rotyx = approxTo0( rmLocal.yx() );
  double rotxx = approxTo0( rmLocal.xx() );
  if( rotzy == 0. && rotzz == 0. ) {
    //check that entry is z angle
    newang[0] = angleX;
    //beware of aa <==> pii - aa
    if( eq2ang( rmLocal.zx(), -1. ) ) {
      double aa = asin( rmLocal.xy() );
      if( diff2pi( angleZ, - aa + newang[0] ) < diff2pi( angleZ, - pii + aa + newang[0] )  ) {
    newang[2] = -aa + newang[0];
    if( ALIUtils::debug >= 5 ) std::cout << " newang[0] = -aa + newang[0] " << std::endl;
      } else {
    newang[2] = -pii + aa + newang[0];
    if( ALIUtils::debug >= 5 ) std::cout << " newang[0] = -pii + aa + newang[0] " << newang[0] << " " << aa << " " << newang[2] << std::endl;
      }
    } else {
      double aa = asin( -rmLocal.xy() );
      if( diff2pi( angleZ, aa - newang[0] ) < diff2pi( angleZ, pii - aa - newang[0] )  ) {
    newang[2] = aa - newang[0];
    if( ALIUtils::debug >= 5 ) std::cout << " newang[0] = aa - newang[2] " << std::endl;
      } else {
    newang[2] = pii - aa - newang[0];
    if( ALIUtils::debug >= 5 ) std::cout << " newang[0] = pii - aa - newang[2] " << newang[0] << " " << aa << " " << newang[2] << std::endl;
      }
    } 
  } else {
    newang[0] = atan( rotzy / rotzz );
    newang[2] = atan( rotyx / rotxx );
  }
  if( rotzx < -1. ) {
    //-    std::cerr << " rotzx too small " << rotzx << " = " << rmLocal.zx() << " " << rotzx-rmLocal.zx() << std::endl;
    rotzx = -1.;
  } else if( rotzx > 1. ) {
    //-    std::cerr << " rotzx too big " << rotzx << " = " << rmLocal.zx() << " " << rotzx-rmLocal.zx() << std::endl;
    rotzx = 1.;
  }
  newang[1] = -asin( rotzx );
  if( ALIUtils::debug >= 5 ) std::cout << "First calculation of angles: " << std::endl 
                   << " newang[0] " << newang[0] << " " << rotzy << " " << rotzz << std::endl
                   << " newang[1] " << newang[1] << " " << rotzx << std::endl
                   << " newang[2] " << newang[2] << " " << rotyx << " " << rotxx << std::endl;
  
  //    newang[2] = acos( rmLocal.xx() / cos( newang[1] ) );
  //----- CHECK if the angles are OK (there are several symmetries)
  //--- Check if the predictions with the angles obtained match the values of the rotation matrix (they may differ for exampole by a sign or more in complicated formulas)
  double rotnewxx = cos( newang[1] ) * cos( newang[2] );
  double rotnewzz = cos( newang[0] ) * cos( newang[1] );
  double rotnewxy = sin( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) - cos( newang[0] )* sin( newang[2] );
  double rotnewxz = cos( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) + sin( newang[0] )* sin( newang[2] );
  double rotnewyy = sin( newang[0] ) * sin( newang[1] ) * sin( newang[2] ) + cos( newang[0] )* cos( newang[2] );
  double rotnewyz = cos( newang[0] ) * sin( newang[1] ) * sin( newang[2] ) - sin( newang[0] )* cos( newang[2] );

  bool eqxx = eq2ang( rotnewxx, rmLocal.xx() );
  bool eqzz = eq2ang( rotnewzz, rmLocal.zz() );
  bool eqxy = eq2ang( rotnewxy, rmLocal.xy() );
  bool eqxz = eq2ang( rotnewxz, rmLocal.xz() );
  bool eqyy = eq2ang( rotnewyy, rmLocal.yy() );
  bool eqyz = eq2ang( rotnewyz, rmLocal.yz() );

  //--- Check if one of the tree angles should be changed
  if( ALIUtils::debug >= 5 ) {
    std::cout << " pred rm.xx " << rotnewxx << " =? " << rmLocal.xx() 
     << " pred rm.zz " << rotnewzz << " =? " << rmLocal.zz() 
     << std::endl;
    std::cout << " eqxx " << eqxx << " eqzz " << eqzz << std::endl;
    //-    std::cout << " rotnewxx " << rotnewxx << " = " << rmLocal.xx() << " " << fabs( rotnewxx - rmLocal.xx() ) << " " <<(fabs( rotnewxx - rmLocal.xx() ) < 0.0001) << std::endl;
  }

  if( eqxx & !eqzz ) {
    newang[0] = pii + newang[0];
    if( ALIUtils::debug >= 5 ) std::cout << " change newang[0] " << newang[0] << std::endl;
  } else  if( !eqxx & !eqzz ) {
    newang[1] = pii - newang[1];
    if( ALIUtils::debug >= 5 ) std::cout << " change newang[1] " << newang[1] << std::endl;
  } else  if( !eqxx & eqzz ) {
    newang[2] = pii + newang[2];
    if( ALIUtils::debug >= 5 ) std::cout << " change newang[2] " << newang[2] << std::endl;
  }

  //--- Check if the 3 angles should be changed (previous check is invariant to the 3 changing)
  if( ALIUtils::debug >= 5 ) {
    std::cout << " pred rm.xy " << rotnewxy << " =? " << rmLocal.xy() 
     << " pred rm.xz " << rotnewxz << " =? " << rmLocal.xz() 
     << " pred rm.yy " << rotnewyy << " =? " << rmLocal.yy()
     << " pred rm.yz " << rotnewyz << " =? " << rmLocal.yz()
     << std::endl;
    std::cout << " eqxy " << eqxy << " eqxz " << eqxz << " eqyy " << eqyy << " eqyz " << eqyz << std::endl;
  }

  if( !eqxy || !eqxz || !eqyy || !eqyz ) {
    // check also cases where one of the above 'eq' is OK because it is = 0
    if( ALIUtils::debug >= 5 ) std::cout << " change the 3 newang " << std::endl;
    newang[0] = addPii( newang[0] );
    newang[1] = pii - newang[1];
    newang[2] = addPii( newang[2] );
    double rotnewxy = -sin( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) - cos( newang[0] )* sin( newang[2] );
    double rotnewxz = -cos( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) - sin( newang[0] )* sin( newang[2] );
    if( ALIUtils::debug >= 5 ) std::cout << " rotnewxy " << rotnewxy << " = " << rmLocal.xy()
     << " rotnewxz " << rotnewxz << " = " << rmLocal.xz() << std::endl;
  }
  if( diff2pi(angleX, newang[0] ) + diff2pi(angleY, newang[1] ) +diff2pi(angleZ, newang[2] )
       > diff2pi(angleX, pii+newang[0] ) + diff2pi(angleY, pii-newang[1] ) + diff2pi(angleZ, pii+newang[2] ) ){
    // check also cases where one of the above 'eq' is OK because it is = 0
    if( ALIUtils::debug >= 5 ) std::cout << " change the 3 newang " << std::endl;
    newang[0] = addPii( newang[0] );
    newang[1] = pii - newang[1];
    newang[2] = addPii( newang[2] );
    double rotnewxy = -sin( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) - cos( newang[0] )* sin( newang[2] );
    double rotnewxz = -cos( newang[0] ) * sin( newang[1] ) * cos( newang[2] ) - sin( newang[0] )* sin( newang[2] );
    if( ALIUtils::debug >= 5 ) std::cout << " rotnewxy " << rotnewxy << " = " << rmLocal.xy()
     << " rotnewxz " << rotnewxz << " = " << rmLocal.xz() << std::endl;
  }
  
  for (int ii=0; ii<3; ii++) {  
    newang[ii] = approxTo0( newang[ii] );
  }
  //  double rotnewyx = cos( newang[1] ) * sin( newang[2] );

  if(  checkMatrixEquations( newang[0], newang[1], newang[2], &rmLocal ) != 0 ){
    std::cerr << " wrong rotation matrix " <<  newang[0] << " " << newang[1] << " " << newang[2] << std::endl;
    ALIUtils::dumprm( rmLocal, " matrix is " );
  }
  if( ALIUtils::debug >= 5 ) {
    std::cout << "Final angles:  newang[0] " << newang[0] << " newang[1] " << newang[1] << " newang[2] " << newang[2] << std::endl;
    CLHEP::HepRotation rot;
    rot.rotateX( newang[0] );
    ALIUtils::dumprm( rot, " new rot after X ");
    rot.rotateY( newang[1] );
    ALIUtils::dumprm( rot, " new rot after Y ");
    rot.rotateZ( newang[2] );
    ALIUtils::dumprm( rot, " new rot ");
    ALIUtils::dumprm( rmLocal, " rmLocal " );
    //-    ALIUtils::dumprm( theRmGlobOriginal, " theRmGlobOriginal " );
  }

  //-  std::cout << " before return newang[0] " << newang[0] << " newang[1] " << newang[1] << " newang[2] " << newang[2] << std::endl;
  return newang;

}

//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
double ALIUtils::diff2pi( double ang1, double ang2 ) 
{
  double pii = acos(0.)*2;
  double diff = fabs( ang1 - ang2 );
  diff = diff - int(diff/2./pii) * 2 *pii;
  return diff;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
bool ALIUtils::eq2ang( double ang1, double ang2 ) 
{
  bool beq = true;

  double pii = acos(0.)*2;
  double diff = diff2pi( ang1, ang2 );
  if( diff > 0.00001 ) {
    if( fabs( diff - 2*pii ) > 0.00001 ) {
      //-      std::cout << " diff " << diff << " " << ang1 << " " << ang2 << std::endl;
      beq = false;
    }
  } else {
    beq = true;
  }

  return beq;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
double ALIUtils::approxTo0( double val )
{
  double precision = 1.e-9;
  if( fabs(val) < precision ) val = 0;
  return val;
}


//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
double ALIUtils::addPii( double val )
{
  if( val < M_PI ) {
    val += M_PI;
  } else {
    val -= M_PI;
  }

  return val;
}

//@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
int ALIUtils::checkMatrixEquations( double angleX, double angleY, double angleZ, CLHEP::HepRotation* rot)
{
  //-  std::cout << " cme " << angleX << " " << angleY << " " << angleZ << std::endl;
  if( rot == 0 ) {
    rot = new CLHEP::HepRotation();
    rot->rotateX( angleX );
    rot->rotateY( angleY );
    rot->rotateZ( angleZ );
  }
  double sx = sin(angleX);
  double cx = cos(angleX);
  double sy = sin(angleY);
  double cy = cos(angleY);
  double sz = sin(angleZ);
  double cz = cos(angleZ);

  double rotxx = cy*cz;
  double rotxy = sx*sy*cz-cx*sz;
  double rotxz = cx*sy*cz+sx*sz;
  double rotyx = cy*sz;
  double rotyy = sx*sy*sz+cx*cz;
  double rotyz = cx*sy*sz-sx*cz;
  double rotzx = -sy;
  double rotzy = sx*cy;
  double rotzz = cx*cy;

  int matrixElemBad = 0; 
  if( !eq2ang( rot->xx(), rotxx ) ) {
    std::cerr << " EQUATION for xx() IS BAD " << rot->xx() << " <> " << rotxx << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->xy(), rotxy ) ) {
    std::cerr << " EQUATION for xy() IS BAD " << rot->xy() << " <> " << rotxy << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->xz(), rotxz ) ) {
    std::cerr << " EQUATION for xz() IS BAD " << rot->xz() << " <> " << rotxz << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->yx(), rotyx ) ) {
    std::cerr << " EQUATION for yx() IS BAD " << rot->yx() << " <> " << rotyx << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->yy(), rotyy ) ) {
    std::cerr << " EQUATION for yy() IS BAD " << rot->yy() << " <> " << rotyy << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->yz(), rotyz ) ) {
    std::cerr << " EQUATION for yz() IS BAD " << rot->yz() << " <> " << rotyz << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->zx(), rotzx ) ) {
    std::cerr << " EQUATION for zx() IS BAD " << rot->zx() << " <> " << rotzx << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->zy(), rotzy ) ) {
    std::cerr << " EQUATION for zy() IS BAD " << rot->zy() << " <> " << rotzy << std::endl;
    matrixElemBad++;
  }
  if( !eq2ang( rot->zz(), rotzz ) ) {
    std::cerr << " EQUATION for zz() IS BAD " << rot->zz() << " <> " << rotzz << std::endl;
    matrixElemBad++;
  }

  //-  std::cout << " cme: matrixElemBad " << matrixElemBad << std::endl;
  return matrixElemBad;
}