unnecessary include removed

[u/mrichter/AliRoot.git] / HLT / TPCLib / tracking-ca / AliHLTTPCCATrackParam.cxx

// $Id$
// **************************************************************************
// This file is property of and copyright by the ALICE HLT Project          *
// ALICE Experiment at CERN, All rights reserved.                           *
//                                                                          *
// Primary Authors: Sergey Gorbunov <sergey.gorbunov@kip.uni-heidelberg.de> *
//                  Ivan Kisel <kisel@kip.uni-heidelberg.de>                *
//                  for The ALICE HLT Project.                              *
//                                                                          *
// Permission to use, copy, modify and distribute this software and its     *
// documentation strictly for non-commercial purposes is hereby granted     *
// without fee, provided that the above copyright notice appears in all     *
// copies and that both the copyright notice and this permission notice     *
// appear in the supporting documentation. The authors make no claims       *
// about the suitability of this software for any purpose. It is            *
// provided "as is" without express or implied warranty.                    *
//                                                                          *
//***************************************************************************


#include "AliHLTTPCCATrackParam.h"
#include "AliHLTTPCCAMath.h"
#include "AliHLTTPCCATrackLinearisation.h"

//
// Circle in XY:
//
// kCLight = 0.000299792458;
// Kappa = -Bz*kCLight*QPt;
// R  = 1/TMath::Abs(Kappa);
// Xc = X - sin(Phi)/Kappa;
// Yc = Y + cos(Phi)/Kappa;
//

GPUd() float AliHLTTPCCATrackParam::GetDist2( const AliHLTTPCCATrackParam &t ) const
{
  // get squared distance between tracks

  float dx = GetX() - t.GetX();
  float dy = GetY() - t.GetY();
  float dz = GetZ() - t.GetZ();
  return dx*dx + dy*dy + dz*dz;
}

GPUd() float AliHLTTPCCATrackParam::GetDistXZ2( const AliHLTTPCCATrackParam &t ) const
{
  // get squared distance between tracks in X&Z

  float dx = GetX() - t.GetX();
  float dz = GetZ() - t.GetZ();
  return dx*dx + dz*dz;
}


GPUd() float  AliHLTTPCCATrackParam::GetS( float x, float y, float Bz ) const
{
  //* Get XY path length to the given point

  float k  = GetKappa( Bz );
  float ex = GetCosPhi();
  float ey = GetSinPhi();
  x -= GetX();
  y -= GetY();
  float dS = x * ex + y * ey;
  if ( CAMath::Abs( k ) > 1.e-4 ) dS = CAMath::ATan2( k * dS, 1 + k * ( x * ey - y * ex ) ) / k;
  return dS;
}

GPUd() void  AliHLTTPCCATrackParam::GetDCAPoint( float x, float y, float z,
    float &xp, float &yp, float &zp,
    float Bz ) const
{
  //* Get the track point closest to the (x,y,z)

  float x0 = GetX();
  float y0 = GetY();
  float k  = GetKappa( Bz );
  float ex = GetCosPhi();
  float ey = GetSinPhi();
  float dx = x - x0;
  float dy = y - y0;
  float ax = dx * k + ey;
  float ay = dy * k - ex;
  float a = sqrt( ax * ax + ay * ay );
  xp = x0 + ( dx - ey * ( ( dx * dx + dy * dy ) * k - 2 * ( -dx * ey + dy * ex ) ) / ( a + 1 ) ) / a;
  yp = y0 + ( dy + ex * ( ( dx * dx + dy * dy ) * k - 2 * ( -dx * ey + dy * ex ) ) / ( a + 1 ) ) / a;
  float s = GetS( x, y, Bz );
  zp = GetZ() + GetDzDs() * s;
  if ( CAMath::Abs( k ) > 1.e-2 ) {
    float dZ = CAMath::Abs( GetDzDs() * CAMath::TwoPi() / k );
    if ( dZ > .1 ) {
      zp += CAMath::Nint( ( z - zp ) / dZ ) * dZ;
    }
  }
}


//*
//* Transport routines
//*


GPUd() bool  AliHLTTPCCATrackParam::TransportToX( float x, AliHLTTPCCATrackLinearisation &t0, float Bz,  float maxSinPhi, float *DL )
{
  //* Transport the track parameters to X=x, using linearization at t0, and the field value Bz
  //* maxSinPhi is the max. allowed value for |t0.SinPhi()|
  //* linearisation of trajectory t0 is also transported to X=x,
  //* returns 1 if OK
  //*

  float ex = t0.CosPhi();
  float ey = t0.SinPhi();
  float k  =-t0.QPt() * Bz;
  float dx = x - X();

  float ey1 = k * dx + ey;
  float ex1;

  // check for intersection with X=x

  if ( CAMath::Abs( ey1 ) > maxSinPhi ) return 0;

  ex1 = CAMath::Sqrt( 1 - ey1 * ey1 );
  if ( ex < 0 ) ex1 = -ex1;

  float dx2 = dx * dx;
  float ss = ey + ey1;
  float cc = ex + ex1;

  if ( CAMath::Abs( cc ) < 1.e-4 || CAMath::Abs( ex ) < 1.e-4 || CAMath::Abs( ex1 ) < 1.e-4 ) return 0;

  float tg = ss / cc; // tan((phi1+phi)/2)

  float dy = dx * tg;
  float dl = dx * CAMath::Sqrt( 1 + tg * tg );

  if ( cc < 0 ) dl = -dl;
  float dSin = dl * k / 2;
  if ( dSin > 1 ) dSin = 1;
  if ( dSin < -1 ) dSin = -1;
  float dS = ( CAMath::Abs( k ) > 1.e-4 )  ? ( 2 * CAMath::ASin( dSin ) / k ) : dl;
  float dz = dS * t0.DzDs();

  if ( DL ) *DL = -dS * CAMath::Sqrt( 1 + t0.DzDs() * t0.DzDs() );

  float cci = 1. / cc;
  float exi = 1. / ex;
  float ex1i = 1. / ex1;

  float d[5] = { 0,
                 0,
                 GetPar(2) - t0.SinPhi(),
                 GetPar(3) - t0.DzDs(),
                 GetPar(4) - t0.QPt()
               };

  //float H0[5] = { 1,0, h2,  0, h4 };
  //float H1[5] = { 0, 1, 0, dS,  0 };
  //float H2[5] = { 0, 0, 1,  0, dxBz };
  //float H3[5] = { 0, 0, 0,  1,  0 };
  //float H4[5] = { 0, 0, 0,  0,  1 };

  float h2 = dx * ( 1 + ey * ey1 + ex * ex1 ) * exi * ex1i * cci;
  float h4 = dx2 * ( cc + ss * ey1 * ex1i ) * cci * cci * (-Bz);
  float dxBz = dx * (-Bz);

  t0.SetCosPhi( ex1 );
  t0.SetSinPhi( ey1 );

  SetX(X() + dx);
  SetPar(0, Y() + dy     + h2 * d[2]           +   h4 * d[4]);
  SetPar(1, Z() + dz               + dS * d[3]);
  SetPar(2, t0.SinPhi() +     d[2]           + dxBz * d[4]);

  float c00 = fC[0];
  float c10 = fC[1];
  float c11 = fC[2];
  float c20 = fC[3];
  float c21 = fC[4];
  float c22 = fC[5];
  float c30 = fC[6];
  float c31 = fC[7];
  float c32 = fC[8];
  float c33 = fC[9];
  float c40 = fC[10];
  float c41 = fC[11];
  float c42 = fC[12];
  float c43 = fC[13];
  float c44 = fC[14];

  fC[0] = ( c00  + h2 * h2 * c22 + h4 * h4 * c44
            + 2 * ( h2 * c20 + h4 * c40 + h2 * h4 * c42 )  );

  fC[1] = c10 + h2 * c21 + h4 * c41 + dS * ( c30 + h2 * c32 + h4 * c43 );
  fC[2] = c11 + 2 * dS * c31 + dS * dS * c33;

  fC[3] = c20 + h2 * c22 + h4 * c42 + dxBz * ( c40 + h2 * c42 + h4 * c44 );
  fC[4] = c21 + dS * c32 + dxBz * ( c41 + dS * c43 );
  fC[5] = c22 + 2 * dxBz * c42 + dxBz * dxBz * c44;

  fC[6] = c30 + h2 * c32 + h4 * c43;
  fC[7] = c31 + dS * c33;
  fC[8] = c32 + dxBz * c43;
  fC[9] = c33;

  fC[10] = c40 + h2 * c42 + h4 * c44;
  fC[11] = c41 + dS * c43;
  fC[12] = c42 + dxBz * c44;
  fC[13] = c43;
  fC[14] = c44;

  return 1;
}


GPUd() bool  AliHLTTPCCATrackParam::TransportToX( float x, float sinPhi0, float cosPhi0,  float Bz, float maxSinPhi )
{
  //* Transport the track parameters to X=x, using linearization at phi0 with 0 curvature,
  //* and the field value Bz
  //* maxSinPhi is the max. allowed value for |t0.SinPhi()|
  //* linearisation of trajectory t0 is also transported to X=x,
  //* returns 1 if OK
  //*

  float ex = cosPhi0;
  float ey = sinPhi0;
  float dx = x - X();

  if ( CAMath::Abs( ex ) < 1.e-4 ) return 0;
  float exi = 1. / ex;

  float dxBz = dx * (-Bz);
  float dS = dx * exi;
  float h2 = dS * exi * exi;
  float h4 = .5 * h2 * dxBz;

  //float H0[5] = { 1,0, h2,  0, h4 };
  //float H1[5] = { 0, 1, 0, dS,  0 };
  //float H2[5] = { 0, 0, 1,  0, dxBz };
  //float H3[5] = { 0, 0, 0,  1,  0 };
  //float H4[5] = { 0, 0, 0,  0,  1 };

  float sinPhi = SinPhi() + dxBz * QPt();
  if ( maxSinPhi > 0 && CAMath::Abs( sinPhi ) > maxSinPhi ) return 0;

  SetX(X() + dx);
  SetPar(0, GetPar(0) + dS * ey + h2 * ( SinPhi() - ey )  +   h4 * QPt());
  SetPar(1, GetPar(1) + dS * DzDs());
  SetPar(2, sinPhi);


  float c00 = fC[0];
  float c10 = fC[1];
  float c11 = fC[2];
  float c20 = fC[3];
  float c21 = fC[4];
  float c22 = fC[5];
  float c30 = fC[6];
  float c31 = fC[7];
  float c32 = fC[8];
  float c33 = fC[9];
  float c40 = fC[10];
  float c41 = fC[11];
  float c42 = fC[12];
  float c43 = fC[13];
  float c44 = fC[14];


  fC[0] = ( c00  + h2 * h2 * c22 + h4 * h4 * c44
            + 2 * ( h2 * c20 + h4 * c40 + h2 * h4 * c42 )  );

  fC[1] = c10 + h2 * c21 + h4 * c41 + dS * ( c30 + h2 * c32 + h4 * c43 );
  fC[2] = c11 + 2 * dS * c31 + dS * dS * c33;

  fC[3] = c20 + h2 * c22 + h4 * c42 + dxBz * ( c40 + h2 * c42 + h4 * c44 );
  fC[4] = c21 + dS * c32 + dxBz * ( c41 + dS * c43 );
  fC[5] = c22 + 2 * dxBz * c42 + dxBz * dxBz * c44;

  fC[6] = c30 + h2 * c32 + h4 * c43;
  fC[7] = c31 + dS * c33;
  fC[8] = c32 + dxBz * c43;
  fC[9] = c33;

  fC[10] = c40 + h2 * c42 + h4 * c44;
  fC[11] = c41 + dS * c43;
  fC[12] = c42 + dxBz * c44;
  fC[13] = c43;
  fC[14] = c44;

  return 1;
}






GPUd() bool  AliHLTTPCCATrackParam::TransportToX( float x, float Bz, float maxSinPhi )
{
  //* Transport the track parameters to X=x

  AliHLTTPCCATrackLinearisation t0( *this );

  return TransportToX( x, t0, Bz, maxSinPhi );
}



GPUd() bool  AliHLTTPCCATrackParam::TransportToXWithMaterial( float x,  AliHLTTPCCATrackLinearisation &t0, AliHLTTPCCATrackFitParam &par, float Bz, float maxSinPhi )
{
  //* Transport the track parameters to X=x  taking into account material budget

  const float kRho = 1.025e-3;//0.9e-3;
  const float kRadLen = 29.532;//28.94;
  const float kRhoOverRadLen = kRho / kRadLen;
  float dl;

  if ( !TransportToX( x, t0, Bz,  maxSinPhi, &dl ) ) return 0;

  CorrectForMeanMaterial( dl*kRhoOverRadLen, dl*kRho, par );
  return 1;
}


GPUd() bool  AliHLTTPCCATrackParam::TransportToXWithMaterial( float x,  AliHLTTPCCATrackFitParam &par, float Bz, float maxSinPhi )
{
  //* Transport the track parameters to X=x  taking into account material budget

  AliHLTTPCCATrackLinearisation t0( *this );
  return TransportToXWithMaterial( x, t0, par, Bz, maxSinPhi );
}

GPUd() bool AliHLTTPCCATrackParam::TransportToXWithMaterial( float x, float Bz, float maxSinPhi )
{
  //* Transport the track parameters to X=x taking into account material budget

  AliHLTTPCCATrackFitParam par;
  CalculateFitParameters( par );
  return TransportToXWithMaterial( x, par, Bz, maxSinPhi );
}


//*
//*  Multiple scattering and energy losses
//*


float AliHLTTPCCATrackParam::BetheBlochGeant( float bg2,
    float kp0,
    float kp1,
    float kp2,
    float kp3,
    float kp4 )
{
  //
  // This is the parameterization of the Bethe-Bloch formula inspired by Geant.
  //
  // bg2  - (beta*gamma)^2
  // kp0 - density [g/cm^3]
  // kp1 - density effect first junction point
  // kp2 - density effect second junction point
  // kp3 - mean excitation energy [GeV]
  // kp4 - mean Z/A
  //
  // The default values for the kp* parameters are for silicon.
  // The returned value is in [GeV/(g/cm^2)].
  //

  const float mK  = 0.307075e-3; // [GeV*cm^2/g]
  const float me  = 0.511e-3;    // [GeV/c^2]
  const float rho = kp0;
  const float x0  = kp1 * 2.303;
  const float x1  = kp2 * 2.303;
  const float mI  = kp3;
  const float mZA = kp4;
  const float maxT = 2 * me * bg2;    // neglecting the electron mass

  //*** Density effect
  float d2 = 0.;
  const float x = 0.5 * AliHLTTPCCAMath::Log( bg2 );
  const float lhwI = AliHLTTPCCAMath::Log( 28.816 * 1e-9 * AliHLTTPCCAMath::Sqrt( rho * mZA ) / mI );
  if ( x > x1 ) {
    d2 = lhwI + x - 0.5;
  } else if ( x > x0 ) {
    const float r = ( x1 - x ) / ( x1 - x0 );
    d2 = lhwI + x - 0.5 + ( 0.5 - lhwI - x0 ) * r * r * r;
  }

  return mK*mZA*( 1 + bg2 ) / bg2*( 0.5*AliHLTTPCCAMath::Log( 2*me*bg2*maxT / ( mI*mI ) ) - bg2 / ( 1 + bg2 ) - d2 );
}

float AliHLTTPCCATrackParam::BetheBlochSolid( float bg )
{
  //------------------------------------------------------------------
  // This is an approximation of the Bethe-Bloch formula,
  // reasonable for solid materials.
  // All the parameters are, in fact, for Si.
  // The returned value is in [GeV]
  //------------------------------------------------------------------

  return BetheBlochGeant( bg );
}

float AliHLTTPCCATrackParam::BetheBlochGas( float bg )
{
  //------------------------------------------------------------------
  // This is an approximation of the Bethe-Bloch formula,
  // reasonable for gas materials.
  // All the parameters are, in fact, for Ne.
  // The returned value is in [GeV]
  //------------------------------------------------------------------

  const float rho = 0.9e-3;
  const float x0  = 2.;
  const float x1  = 4.;
  const float mI  = 140.e-9;
  const float mZA = 0.49555;

  return BetheBlochGeant( bg, rho, x0, x1, mI, mZA );
}




GPUd() float AliHLTTPCCATrackParam::ApproximateBetheBloch( float beta2 )
{
  //------------------------------------------------------------------
  // This is an approximation of the Bethe-Bloch formula with
  // the density effect taken into account at beta*gamma > 3.5
  // (the approximation is reasonable only for solid materials)
  //------------------------------------------------------------------
  if ( beta2 >= 1 ) return 0;

  if ( beta2 / ( 1 - beta2 ) > 3.5*3.5 )
    return 0.153e-3 / beta2*( log( 3.5*5940 ) + 0.5*log( beta2 / ( 1 - beta2 ) ) - beta2 );
  return 0.153e-3 / beta2*( log( 5940*beta2 / ( 1 - beta2 ) ) - beta2 );
}


GPUd() void AliHLTTPCCATrackParam::CalculateFitParameters( AliHLTTPCCATrackFitParam &par, float mass )
{
  //*!

  float qpt = GetPar(4);
  if( fC[14]>=1. ) qpt = 1./0.35;

  float p2 = ( 1. + GetPar(3) * GetPar(3) );
  float k2 = qpt * qpt;
  float mass2 = mass * mass;
  float beta2 = p2 / ( p2 + mass2 * k2 );

  float pp2 = ( k2 > 1.e-8 ) ? p2 / k2 : 10000; // impuls 2

  //par.fBethe = BetheBlochGas( pp2/mass2);
  par.fBethe = ApproximateBetheBloch( pp2 / mass2 );
  par.fE = CAMath::Sqrt( pp2 + mass2 );
  par.fTheta2 = 14.1 * 14.1 / ( beta2 * pp2 * 1e6 );
  par.fEP2 = par.fE / pp2;

  // Approximate energy loss fluctuation (M.Ivanov)

  const float knst = 0.07; // To be tuned.
  par.fSigmadE2 = knst * par.fEP2 * qpt;
  par.fSigmadE2 = par.fSigmadE2 * par.fSigmadE2;

  par.fK22 = ( 1. + GetPar(3) * GetPar(3) );
  par.fK33 = par.fK22 * par.fK22;
  par.fK43 = 0;
  par.fK44 = GetPar(3) * GetPar(3) * k2;

}


GPUd() bool AliHLTTPCCATrackParam::CorrectForMeanMaterial( float xOverX0,  float xTimesRho, const AliHLTTPCCATrackFitParam &par )
{
  //------------------------------------------------------------------
  // This function corrects the track parameters for the crossed material.
  // "xOverX0"   - X/X0, the thickness in units of the radiation length.
  // "xTimesRho" - is the product length*density (g/cm^2).
  //------------------------------------------------------------------

  float &fC22 = fC[5];
  float &fC33 = fC[9];
  float &fC40 = fC[10];
  float &fC41 = fC[11];
  float &fC42 = fC[12];
  float &fC43 = fC[13];
  float &fC44 = fC[14];

  //Energy losses************************

  float dE = par.fBethe * xTimesRho;
  if ( CAMath::Abs( dE ) > 0.3*par.fE ) return 0; //30% energy loss is too much!
  float corr = ( 1. - par.fEP2 * dE );
  if ( corr < 0.3 || corr > 1.3 ) return 0;

  SetPar(4, GetPar(4) * corr);
  fC40 *= corr;
  fC41 *= corr;
  fC42 *= corr;
  fC43 *= corr;
  fC44 *= corr * corr;
  fC44 += par.fSigmadE2 * CAMath::Abs( dE );

  //Multiple scattering******************

  float theta2 = par.fTheta2 * CAMath::Abs( xOverX0 );
  fC22 += theta2 * par.fK22 * (1.-GetPar(2))*(1.+GetPar(2));
  fC33 += theta2 * par.fK33;
  fC43 += theta2 * par.fK43;
  fC44 += theta2 * par.fK44;

  return 1;
}


//*
//* Rotation
//*


GPUd() bool AliHLTTPCCATrackParam::Rotate( float alpha, float maxSinPhi )
{
  //* Rotate the coordinate system in XY on the angle alpha

  float cA = CAMath::Cos( alpha );
  float sA = CAMath::Sin( alpha );
  float x = X(), y = Y(), sP = SinPhi(), cP = GetCosPhi();
  float cosPhi = cP * cA + sP * sA;
  float sinPhi = -cP * sA + sP * cA;

  if ( CAMath::Abs( sinPhi ) > maxSinPhi || CAMath::Abs( cosPhi ) < 1.e-2 || CAMath::Abs( cP ) < 1.e-2  ) return 0;

  float j0 = cP / cosPhi;
  float j2 = cosPhi / cP;

  SetX( x*cA +  y*sA );
  SetY( -x*sA +  y*cA );
  SetSignCosPhi( cosPhi );
  SetSinPhi( sinPhi );


  //float J[5][5] = { { j0, 0, 0,  0,  0 }, // Y
  //                      {  0, 1, 0,  0,  0 }, // Z
  //                      {  0, 0, j2, 0,  0 }, // SinPhi
  //                    {  0, 0, 0,  1,  0 }, // DzDs
  //                    {  0, 0, 0,  0,  1 } }; // Kappa
  //cout<<"alpha="<<alpha<<" "<<x<<" "<<y<<" "<<sP<<" "<<cP<<" "<<j0<<" "<<j2<<endl;
  //cout<<"      "<<fC[0]<<" "<<fC[1]<<" "<<fC[6]<<" "<<fC[10]<<" "<<fC[4]<<" "<<fC[5]<<" "<<fC[8]<<" "<<fC[12]<<endl;
  fC[0] *= j0 * j0;
  fC[1] *= j0;
  fC[3] *= j0;
  fC[6] *= j0;
  fC[10] *= j0;

  fC[3] *= j2;
  fC[4] *= j2;
  fC[5] *= j2 * j2;
  fC[8] *= j2;
  fC[12] *= j2;
  //cout<<"      "<<fC[0]<<" "<<fC[1]<<" "<<fC[6]<<" "<<fC[10]<<" "<<fC[4]<<" "<<fC[5]<<" "<<fC[8]<<" "<<fC[12]<<endl;
  return 1;
}

GPUd() bool AliHLTTPCCATrackParam::Rotate( float alpha, AliHLTTPCCATrackLinearisation &t0, float maxSinPhi )
{
  //* Rotate the coordinate system in XY on the angle alpha

  float cA = CAMath::Cos( alpha );
  float sA = CAMath::Sin( alpha );
  float x0 = X(), y0 = Y(), sP = t0.SinPhi(), cP = t0.CosPhi();
  float cosPhi = cP * cA + sP * sA;
  float sinPhi = -cP * sA + sP * cA;

  if ( CAMath::Abs( sinPhi ) > maxSinPhi || CAMath::Abs( cosPhi ) < 1.e-2 || CAMath::Abs( cP ) < 1.e-2  ) return 0;

  //float J[5][5] = { { j0, 0, 0,  0,  0 }, // Y
  //                    {  0, 1, 0,  0,  0 }, // Z
  //                    {  0, 0, j2, 0,  0 }, // SinPhi
  //                  {  0, 0, 0,  1,  0 }, // DzDs
  //                  {  0, 0, 0,  0,  1 } }; // Kappa

  float j0 = cP / cosPhi;
  float j2 = cosPhi / cP;
  float d[2] = {Y() - y0, SinPhi() - sP};

  SetX( x0*cA +  y0*sA );
  SetY( -x0*sA +  y0*cA + j0*d[0] );
  t0.SetCosPhi( cosPhi );
  t0.SetSinPhi( sinPhi );

  SetSinPhi( sinPhi + j2*d[1] );

  fC[0] *= j0 * j0;
  fC[1] *= j0;
  fC[3] *= j0;
  fC[6] *= j0;
  fC[10] *= j0;

  fC[3] *= j2;
  fC[4] *= j2;
  fC[5] *= j2 * j2;
  fC[8] *= j2;
  fC[12] *= j2;

  return 1;
}

GPUd() bool AliHLTTPCCATrackParam::Filter( float y, float z, float err2Y, float err2Z, float maxSinPhi )
{
  //* Add the y,z measurement with the Kalman filter

  float
  c00 = fC[ 0],
        c11 = fC[ 2],
              c20 = fC[ 3],
                    c31 = fC[ 7],
                          c40 = fC[10];

  err2Y += c00;
  err2Z += c11;

  float
  z0 = y - GetPar(0),
       z1 = z - GetPar(1);

  if ( err2Y < 1.e-8 || err2Z < 1.e-8 ) return 0;

  float mS0 = 1. / err2Y;
  float mS2 = 1. / err2Z;

  // K = CHtS

  float k00, k11, k20, k31, k40;

  k00 = c00 * mS0;
  k20 = c20 * mS0;
  k40 = c40 * mS0;

  k11 = c11 * mS2;
  k31 = c31 * mS2;

  float sinPhi = GetPar(2) + k20 * z0  ;

  if ( maxSinPhi > 0 && CAMath::Abs( sinPhi ) >= maxSinPhi ) return 0;

  fNDF  += 2;
  fChi2 += mS0 * z0 * z0 + mS2 * z1 * z1 ;

  SetPar(0, GetPar(0) + k00 * z0);
  SetPar(1, GetPar(1) + k11 * z1);
  SetPar(2, sinPhi);
  SetPar(3, GetPar(3) + k31 * z1);
  SetPar(4, GetPar(4) + k40 * z0);

  fC[ 0] -= k00 * c00 ;
  fC[ 3] -= k20 * c00 ;
  fC[ 5] -= k20 * c20 ;
  fC[10] -= k40 * c00 ;
  fC[12] -= k40 * c20 ;
  fC[14] -= k40 * c40 ;

  fC[ 2] -= k11 * c11 ;
  fC[ 7] -= k31 * c11 ;
  fC[ 9] -= k31 * c31 ;

  return 1;
}

GPUd() bool AliHLTTPCCATrackParam::CheckNumericalQuality() const
{
  //* Check that the track parameters and covariance matrix are reasonable

  bool ok = AliHLTTPCCAMath::Finite( GetX() ) && AliHLTTPCCAMath::Finite( fSignCosPhi ) && AliHLTTPCCAMath::Finite( fChi2 ) && AliHLTTPCCAMath::Finite( fNDF );

  const float *c = Cov();
  for ( int i = 0; i < 15; i++ ) ok = ok && AliHLTTPCCAMath::Finite( c[i] );
  for ( int i = 0; i < 5; i++ ) ok = ok && AliHLTTPCCAMath::Finite( Par()[i] );

  if ( c[0] <= 0 || c[2] <= 0 || c[5] <= 0 || c[9] <= 0 || c[14] <= 0 ) ok = 0;
  if ( c[0] > 5. || c[2] > 5. || c[5] > 2. || c[9] > 2 
       //|| ( CAMath::Abs( QPt() ) > 1.e-2 && c[14] > 2. ) 
       ) ok = 0;

  if ( CAMath::Abs( SinPhi() ) > .99 ) ok = 0;
  if ( CAMath::Abs( QPt() ) > 1. / 0.05 ) ok = 0;
  if( ok ){
    ok = ok 
      && ( c[1]*c[1]<=c[2]*c[0] )
      && ( c[3]*c[3]<=c[5]*c[0] )
      && ( c[4]*c[4]<=c[5]*c[2] )
      && ( c[6]*c[6]<=c[9]*c[0] )
      && ( c[7]*c[7]<=c[9]*c[2] )
      && ( c[8]*c[8]<=c[9]*c[5] )
      && ( c[10]*c[10]<=c[14]*c[0] )
      && ( c[11]*c[11]<=c[14]*c[2] )
      && ( c[12]*c[12]<=c[14]*c[5] )
      && ( c[13]*c[13]<=c[14]*c[9] );      
  }
  return ok;
}


#if !defined(HLTCA_GPUCODE)
#include <iostream>
#endif

GPUd() void AliHLTTPCCATrackParam::Print() const
{
  //* print parameters

#if !defined(HLTCA_GPUCODE)
  std::cout << "track: x=" << GetX() << " c=" << GetSignCosPhi() << ", P= " << GetY() << " " << GetZ() << " " << GetSinPhi() << " " << GetDzDs() << " " << GetQPt() << std::endl;
  std::cout << "errs2: " << GetErr2Y() << " " << GetErr2Z() << " " << GetErr2SinPhi() << " " << GetErr2DzDs() << " " << GetErr2QPt() << std::endl;
#endif
}