#include <HelixForwardPlaneCrossing.h>

Inheritance diagram for HelixForwardPlaneCrossing:

Public Member Functions
virtual DirectionType	direction (double s) const
	HelixForwardPlaneCrossing (const PositionType &point, const DirectionType &direction, const float curvature, const PropagationDirection propDir=alongMomentum)
virtual std::pair< bool, double >	pathLength (const Plane &plane)
virtual PositionType	position (double s) const
virtual	~HelixForwardPlaneCrossing ()
Private Types
typedef Basic3DVector< double >	DirectionTypeDouble
typedef Basic3DVector< double >	PositionTypeDouble
Private Attributes
double	theCachedCDPhi
double	theCachedDPhi
double	theCachedS
double	theCachedSDPhi
double	theCosPhi0
double	theCosTheta
const PropagationDirection	thePropDir
const double	theRho
double	theSinPhi0
double	theSinTheta
const double	theX0
const double	theY0
const double	theZ0
Static Private Attributes
static const float	theNumericalPrecision = 5.e-7

Detailed Description

Calculates intersections of a helix with planes perpendicular to the z-axis.

Definition at line 10 of file HelixForwardPlaneCrossing.h.

Member Typedef Documentation

typedef Basic3DVector<double> HelixForwardPlaneCrossing::DirectionTypeDouble [private]

Definition at line 39 of file HelixForwardPlaneCrossing.h.

typedef Basic3DVector<double> HelixForwardPlaneCrossing::PositionTypeDouble [private]

Definition at line 38 of file HelixForwardPlaneCrossing.h.

Constructor & Destructor Documentation

HelixForwardPlaneCrossing::HelixForwardPlaneCrossing	(	const PositionType &	point,
		const DirectionType &	direction,
		const float	curvature,
		const PropagationDirection	propDir = `alongMomentum`
	)

Constructor using point, direction and (transverse!) curvature.

Definition at line 7 of file HelixForwardPlaneCrossing.cc.

References p2, mathSSE::sqrt(), theCosPhi0, theCosTheta, theSinPhi0, theSinTheta, Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

                                                                                         :
  theX0(point.x()),
  theY0(point.y()),
  theZ0(point.z()),
  theRho(curvature),
  thePropDir(propDir),
  theCachedS(0),
  theCachedDPhi(0.),
  theCachedSDPhi(0.),
  theCachedCDPhi(1.)
{
  //
  // Components of direction vector (with correct normalisation)
  //
  double px = direction.x();
  double py = direction.y();
  double pz = direction.z();
  double pt2 = px*px+py*py;
  double p2 = pt2+pz*pz;
  double pI = 1./sqrt(p2);
  double ptI = 1./sqrt(pt2);
  theCosPhi0 = px*ptI;
  theSinPhi0 = py*ptI;
  theCosTheta = pz*pI;
  theSinTheta = pt2*ptI*pI;

}

virtual HelixForwardPlaneCrossing::~HelixForwardPlaneCrossing ( ) [inline, virtual]

Definition at line 19 of file HelixForwardPlaneCrossing.h.

{}

Member Function Documentation

HelixPlaneCrossing::DirectionType HelixForwardPlaneCrossing::direction ( double s ) const [virtual]

Direction at pathlength s from the starting point.

Implements HelixPlaneCrossing.

Definition at line 94 of file HelixForwardPlaneCrossing.cc.

References funct::cos(), alignCSCRings::e, alignCSCRings::s, funct::sin(), theCachedCDPhi, theCachedDPhi, theCachedS, theCachedSDPhi, theCosPhi0, theCosTheta, theRho, theSinPhi0, and theSinTheta.

                                                    {
  //
  // Calculate delta phi (if not already available)
  //
  if ( s!=theCachedS ) {
    theCachedS = s;
    theCachedDPhi = theCachedS*theRho*theSinTheta;
    theCachedSDPhi = sin(theCachedDPhi);
    theCachedCDPhi = cos(theCachedDPhi);
  }

  if ( fabs(theCachedDPhi)>1.e-4 ) {
    // full helix formula
    return DirectionType(theCosPhi0*theCachedCDPhi-theSinPhi0*theCachedSDPhi,
                         theSinPhi0*theCachedCDPhi+theCosPhi0*theCachedSDPhi,
                         theCosTheta/theSinTheta);
  }
  else {
    // 2nd order
    double dph = theCachedS*theRho*theSinTheta;
    return DirectionType(theCosPhi0-(theSinPhi0+0.5*theCosPhi0*dph)*dph,
                         theSinPhi0+(theCosPhi0-0.5*theSinPhi0*dph)*dph,
                         theCosTheta/theSinTheta);
  }
}

std::pair< bool, double > HelixForwardPlaneCrossing::pathLength ( const Plane & plane ) [virtual]

Propagation status (true if valid) and (signed) path length along the helix from the starting point to the plane.

Implements HelixPlaneCrossing.

Definition at line 41 of file HelixForwardPlaneCrossing.cc.

References abs, alongMomentum, oppositeToMomentum, GloballyPositioned< T >::position(), theCosTheta, thePropDir, theSinTheta, theZ0, and Basic3DVector< T >::z().

                                                        {
  //
  // Protect against p_z=0 and calculate path length
  //
  if ( std::abs(theCosTheta/theSinTheta)<FLT_MIN )  return std::pair<bool,double>(false,0);

  double dS = (plane.position().z()-theZ0) / theCosTheta;

  if ( (thePropDir==alongMomentum && dS<0.) ||
       (thePropDir==oppositeToMomentum && dS>0.) )  return std::pair<bool,double>(false,0);
  //
  // Return result
  //
  return std::pair<bool,double>(true,dS);
}

HelixPlaneCrossing::PositionType HelixForwardPlaneCrossing::position ( double s ) const [virtual]

Position at pathlength s from the starting point.

Implements HelixPlaneCrossing.

Definition at line 60 of file HelixForwardPlaneCrossing.cc.

References abs, funct::cos(), alignCSCRings::e, python::connectstrParser::o, alignCSCRings::s, funct::sin(), theCachedCDPhi, theCachedDPhi, theCachedS, theCachedSDPhi, theCosPhi0, theCosTheta, theRho, theSinPhi0, theSinTheta, theX0, theY0, and theZ0.

                                                   {
  //
  // Calculate delta phi (if not already available)
  //
  if ( s!=theCachedS ) {
    theCachedS = s;
    theCachedDPhi = theCachedS*theRho*theSinTheta;
    theCachedSDPhi = sin(theCachedDPhi);
    theCachedCDPhi = cos(theCachedDPhi);
  }
  //
  // Calculate with appropriate formulation of full helix formula or with 
  //   2nd order approximation.
  //
  if ( std::abs(theCachedDPhi)>1.e-4 ) {
    // "standard" helix formula
    // "standard" helix formula
    double o = 1./theRho;
    return PositionTypeDouble(theX0+(-theSinPhi0*(1.-theCachedCDPhi)+theCosPhi0*theCachedSDPhi)*o,
                              theY0+( theCosPhi0*(1.-theCachedCDPhi)+theSinPhi0*theCachedSDPhi)*o,
                              theZ0+theCachedS*theCosTheta);
  }
  else {
    // 2nd order
    double st = theCachedS*theSinTheta;
    return PositionType(theX0+(theCosPhi0-st*0.5*theRho*theSinPhi0)*st,
                        theY0+(theSinPhi0+st*0.5*theRho*theCosPhi0)*st,
                        theZ0+st*theCosTheta/theSinTheta);
  }
}