TrapezoidalStripTopology Class Reference

#include <TrapezoidalStripTopology.h>

Inheritance diagram for TrapezoidalStripTopology:

Public Member Functions
virtual int	channel (const LocalPoint &) const
virtual LocalError	localError (float strip, float stripErr2) const
virtual LocalError	localError (const MeasurementPoint &, const MeasurementError &) const
virtual float	localPitch (const LocalPoint &) const
virtual LocalPoint	localPosition (float strip) const
virtual LocalPoint	localPosition (const MeasurementPoint &) const
virtual float	localStripLength (const LocalPoint &aLP) const
virtual MeasurementError	measurementError (const LocalPoint &, const LocalError &) const
virtual MeasurementPoint	measurementPosition (const LocalPoint &) const
virtual int	nstrips () const
virtual float	pitch () const
float	radius () const
virtual float	strip (const LocalPoint &) const
virtual float	stripAngle (float strip) const
virtual float	stripLength () const
	det heigth (strip length in the middle) More...
	TrapezoidalStripTopology (int nstrip, float pitch, float detheight, float r0)
	TrapezoidalStripTopology (int nstrip, float pitch, float detheight, float r0, int yAx)
Public Member Functions inherited from StripTopology
virtual LocalError	localError (float strip, float stripErr2, const Topology::LocalTrackPred &) const
	conversion taking also the angle from the predicted track state More...
virtual float	localPitch (const LocalPoint &lp, const Topology::LocalTrackAngles &) const
	conversion taking also the angle from the track state (LocalTrajectoryParameters) More...
virtual LocalPoint	localPosition (float strip, const Topology::LocalTrackPred &) const
	conversion taking also the predicted track state More...
virtual float	localStripLength (const LocalPoint &lp, const Topology::LocalTrackAngles &) const
	conversion taking also the angle from the track state (LocalTrajectoryParameters) More...
virtual float	strip (const LocalPoint &lp, const Topology::LocalTrackAngles &) const
	conversion taking also the angle from the track state (LocalTrajectoryParameters) More...
virtual	~StripTopology ()
Public Member Functions inherited from Topology
virtual int	channel (const LocalPoint &lp, const LocalTrackAngles &) const
	conversion taking also the angle from the track state More...
virtual LocalError	localError (const MeasurementPoint &mp, const MeasurementError &me, const LocalTrackPred &) const
	conversion taking also the angle from the predicted track state More...
virtual LocalPoint	localPosition (const MeasurementPoint &mp, const LocalTrackPred &) const
	conversion taking also the angle from the predicted track state More...
virtual MeasurementError	measurementError (const LocalPoint &lp, const LocalError &le, const LocalTrackAngles &) const
	conversion taking also the angle from the track state More...
virtual MeasurementPoint	measurementPosition (const LocalPoint &lp, const LocalTrackAngles &) const
	conversion taking also the angle from the track state More...
virtual	~Topology ()

Protected Member Functions
virtual float	shiftOffset (float pitch_fraction)

Private Attributes
float	theDetHeight
float	theDistToBeam
int	theNumberOfStrips
float	theOffset
float	thePitch
int	theYAxOr

Additional Inherited Members
Public Types inherited from Topology
typedef Point2DBase< double, LocalTag >	Local2DPoint
typedef Vector2D::MathVector	MathVector2D
typedef Basic2DVector< double >	Vector2D

Detailed Description

Specialised strip topology for rectangular barrel detectors. The strips are parallel to the local Y axis, so X is the precisely measured coordinate.Specialization of StripTopology for detectors of symmetric trapezoidal shape. The local Y coordinate is parallel to the central strip, and prpendicular to the paralle sides of the trapezoid. The first and last strips are parallel to the corresponding sides of the trapezoid. The pitch is constant at constant y. This topology makes a non-linear transformation: the pitch is not constant along the strips.

Definition at line 22 of file TrapezoidalStripTopology.h.

Constructor & Destructor Documentation

TrapezoidalStripTopology::TrapezoidalStripTopology	(	int	nstrip,
		float	pitch,
		float	detheight,
		float	r0
	)

constructed from: number of strips pitch in the middle det heigth (strip length in the middle) radius of circle passing through the middle of the det with center at the crossing of the two sides.

Definition at line 7 of file TrapezoidalStripTopology.cc.

References gather_cfg::cout, theNumberOfStrips, theOffset, thePitch, and theYAxOr.

                                     :
  theNumberOfStrips(ns), thePitch(p),
  theDistToBeam(r0), theDetHeight(l) {
  theOffset = -theNumberOfStrips/2. * thePitch;
  theYAxOr = 1;
#ifdef VERBOSE
  cout<<"Constructing TrapezoidalStripTopology with"
      <<" nstrips = "<<ns
      <<" pitch = "<<p
      <<" length = "<<l
      <<" r0 ="<<r0
      <<endl;
#endif
}

TrapezoidalStripTopology::TrapezoidalStripTopology	(	int	nstrip,
		float	pitch,
		float	detheight,
		float	r0,
		int	yAx
	)

Definition at line 24 of file TrapezoidalStripTopology.cc.

References gather_cfg::cout, theNumberOfStrips, theOffset, and thePitch.

                                              :
  theNumberOfStrips(ns), thePitch(p),
  theDistToBeam(r0), theDetHeight(l), theYAxOr(yAx){
  theOffset = -theNumberOfStrips/2. * thePitch;
#ifdef VERBOSE
  cout<<"Constructing TrapezoidalStripTopology with"
      <<" nstrips = "<<ns
      <<" pitch = "<<p
      <<" length = "<<l
      <<" r0 ="<<r0
      <<" yAxOrientation ="<<yAx
      <<endl;
#endif
}

Member Function Documentation

int TrapezoidalStripTopology::channel ( const LocalPoint &  lp ) const

virtual

Implements Topology.

Definition at line 132 of file TrapezoidalStripTopology.cc.

References min, strip(), and theNumberOfStrips.

                                                            {
  return std::min(int(strip(lp)),theNumberOfStrips-1);
}

LocalError TrapezoidalStripTopology::localError ( float  strip, float  stripErr2  ) const

virtual

Implements StripTopology.

Definition at line 55 of file TrapezoidalStripTopology.cc.

References lt, theDetHeight, theDistToBeam, theOffset, thePitch, and theYAxOr.

                                                                       {
  float lt,lc2,ls2,lslc;
  float localL2,localP2;
  float sl2,sp2;
  // angle from strip to local frame (see CMS TN / 95-170)
  lt = -(strip*thePitch + theOffset)*theYAxOr/theDistToBeam;
  lc2 = 1.f/(1.+lt*lt);
  lslc = lt*lc2;
  ls2 = 1.f-lc2;
  localL2 = theDetHeight*theDetHeight / lc2;
  localP2 = thePitch*thePitch*lc2;
  sl2 = localL2/12.;
  sp2 = stripErr2*localP2;
  return LocalError(lc2*sp2+ls2*sl2,
                    lslc*(sp2-sl2),
                    ls2*sp2+lc2*sl2);
}

LocalError TrapezoidalStripTopology::localError ( const MeasurementPoint &  mp, const MeasurementError &  merr  ) const

virtual

Implements Topology.

Definition at line 74 of file TrapezoidalStripTopology.cc.

References localPitch(), localPosition(), lt, mathSSE::sqrt(), theDetHeight, theDistToBeam, theOffset, thePitch, theYAxOr, MeasurementError::uu(), MeasurementError::uv(), MeasurementError::vv(), and PV2DBase< T, PVType, FrameType >::x().

                                                         {
  float lt,lc2,ls2,lslc;
  float localL,localP;
  float sl2,sp2,spl;
  // angle from strip to local frame (see CMS TN / 95-170)
  lt = -(mp.x()*thePitch + theOffset)*theYAxOr/theDistToBeam;
  lc2 = 1./(1.+lt*lt);
  lslc = lt*lc2;
  ls2 = 1.f-lc2;
  localL = theDetHeight / std::sqrt(lc2);
  localP = localPitch(localPosition(mp));
  sp2 = merr.uu() * localP*localP;
  sl2 = merr.vv() * localL*localL;
  spl = merr.uv() * localP*localL;
  return LocalError(lc2*sp2+ls2*sl2-2*lslc*spl,
                    lslc*(sp2-sl2)+(lc2-ls2)*spl,
                    ls2*sp2+lc2*sl2+2*lslc*spl);
}

float TrapezoidalStripTopology::localPitch ( const LocalPoint &  lp ) const

virtual

Implements StripTopology.

Definition at line 142 of file TrapezoidalStripTopology.cc.

References f, mathSSE::sqrt(), theDistToBeam, thePitch, theYAxOr, PV3DBase< T, PVType, FrameType >::x(), vdt::x, detailsBasic3DVector::y, and PV3DBase< T, PVType, FrameType >::y().

Referenced by localError(), and measurementError().

                                                               {
  float x=lp.x();
  float y=theYAxOr*lp.y()+theDistToBeam;
  return thePitch*y/(theDistToBeam*std::sqrt(1.f+x*x/(y*y)));
}

LocalPoint TrapezoidalStripTopology::localPosition ( float  strip ) const

virtual

Implements StripTopology.

Definition at line 42 of file TrapezoidalStripTopology.cc.

References theOffset, and thePitch.

Referenced by RPCEfficiency::analyze(), CSCSegtoRPC::CSCSegtoRPC(), localError(), RPCSimSimple::simulateNoise(), RPCSimTriv::simulateNoise(), RPCSimParam::simulateNoise(), RPCSimAverageNoiseEff::simulateNoise(), RPCSimAverage::simulateNoise(), RPCSimAverageNoiseEffCls::simulateNoise(), RPCSimAverageNoise::simulateNoise(), and TracktoRPC::TracktoRPC().

                                                         {
  return LocalPoint( strip*thePitch + theOffset, 0.0);
}

LocalPoint TrapezoidalStripTopology::localPosition ( const MeasurementPoint &  mp ) const

virtual

Implements Topology.

Definition at line 47 of file TrapezoidalStripTopology.cc.

References theDetHeight, theDistToBeam, theOffset, thePitch, theYAxOr, PV2DBase< T, PVType, FrameType >::x(), vdt::x, detailsBasic3DVector::y, and PV2DBase< T, PVType, FrameType >::y().

                                                                        {
  float y = mp.y()*theDetHeight;
  float x = (mp.x()*thePitch + 
         theOffset)*(theYAxOr*y+theDistToBeam)/theDistToBeam;
  return LocalPoint(x,y);
}

float TrapezoidalStripTopology::localStripLength ( const LocalPoint &  aLP ) const

virtual

Implements StripTopology.

Definition at line 163 of file TrapezoidalStripTopology.cc.

References f, mathSSE::sqrt(), theDetHeight, theDistToBeam, theYAxOr, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

        {
  float ltan = -lp.x()/(theYAxOr*lp.y()+theDistToBeam)*theYAxOr;
  float localL = theDetHeight * std::sqrt(1.f+ltan*ltan);
  //  float lcos2 = 1.f/(1.f+ltan*ltan);
  //  float localL = theDetHeight / std::sqrt(lcos2);

  return localL;
}

MeasurementError TrapezoidalStripTopology::measurementError ( const LocalPoint &  lp, const LocalError &  lerr  ) const

virtual

Implements Topology.

Definition at line 111 of file TrapezoidalStripTopology.cc.

References localPitch(), lt, mathSSE::sqrt(), theDetHeight, theDistToBeam, theYAxOr, PV3DBase< T, PVType, FrameType >::x(), LocalError::xx(), LocalError::xy(), PV3DBase< T, PVType, FrameType >::y(), and LocalError::yy().

                                                     {
  float lt,lc2,ls2,lslc;
  float localL,localP;
  float sl2,sp2,spl;
  lt = -lp.x()/(theYAxOr*lp.y()+theDistToBeam)*theYAxOr;
  lc2 = 1./(1.+lt*lt);
  lslc = lt*lc2;
  ls2 = 1.-lc2;
  localL = theDetHeight / std::sqrt(lc2);
  localP = localPitch(lp);
  sp2 = lc2*lerr.xx()+ls2*lerr.yy()+2*lslc*lerr.xy();
  sl2 = ls2*lerr.xx()+lc2*lerr.yy()-2*lslc*lerr.xy();
  spl = lslc*(lerr.yy()-lerr.xx())+(lc2-ls2)*lerr.xy();
  return MeasurementError(sp2/(localP*localP),
                          spl/(localP*localL),
              sl2/(localL*localL));

}

MeasurementPoint TrapezoidalStripTopology::measurementPosition ( const LocalPoint &  lp ) const

virtual

Implements Topology.

Definition at line 104 of file TrapezoidalStripTopology.cc.

References theDetHeight, theDistToBeam, theOffset, thePitch, theYAxOr, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

                                                                        {
  return 
    MeasurementPoint(((lp.x()*theDistToBeam/(theYAxOr*lp.y()+theDistToBeam))-theOffset)/thePitch,
             lp.y()/theDetHeight);
}

int TrapezoidalStripTopology::nstrips ( ) const

virtual

Implements StripTopology.

Definition at line 154 of file TrapezoidalStripTopology.cc.

References theNumberOfStrips.

                                        {
  return theNumberOfStrips;
}

float TrapezoidalStripTopology::pitch ( ) const

virtual

Pitch in the middle of the DetUnit

Implements StripTopology.

Definition at line 137 of file TrapezoidalStripTopology.cc.

References thePitch.

Referenced by RPCEfficiency::analyze(), and CSCSegtoRPC::CSCSegtoRPC().

                                      {
  return thePitch;
}

float TrapezoidalStripTopology::radius ( void  ) const

inline

radius of circle passing through the middle of the det with center at the crossing of the two sides.

Definition at line 72 of file TrapezoidalStripTopology.h.

References theDistToBeam.

{ return theDistToBeam;}

float TrapezoidalStripTopology::shiftOffset ( float  pitch_fraction )

protectedvirtual

Definition at line 158 of file TrapezoidalStripTopology.cc.

References theOffset, and thePitch.

                                                                 {
  theOffset += thePitch * pitch_fraction;
  return theOffset;
}

float TrapezoidalStripTopology::strip ( const LocalPoint &  lp ) const

virtual

Implements StripTopology.

Definition at line 95 of file TrapezoidalStripTopology.cc.

References theDistToBeam, theNumberOfStrips, theOffset, thePitch, theYAxOr, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

Referenced by channel().

                                                          {
  float aStrip =
     ((lp.x()*theDistToBeam/(theYAxOr*lp.y()+theDistToBeam))-theOffset)/thePitch;
   if (aStrip < 0 ) aStrip = 0;
  else if (aStrip > theNumberOfStrips)  aStrip = theNumberOfStrips;
  return aStrip;
}

float TrapezoidalStripTopology::stripAngle ( float  strip ) const

virtual

angle between strip and symmetry axis

Implements StripTopology.

Definition at line 149 of file TrapezoidalStripTopology.cc.

References theDistToBeam, theOffset, thePitch, and theYAxOr.

                                                      {
  return std::atan( -(strip*thePitch + theOffset)*theYAxOr/theDistToBeam );
}

virtual float TrapezoidalStripTopology::stripLength ( ) const

inlinevirtual

det heigth (strip length in the middle)

Implements StripTopology.

Definition at line 66 of file TrapezoidalStripTopology.h.

References theDetHeight.

Referenced by RPCEfficiency::analyze(), CSCSegtoRPC::CSCSegtoRPC(), RPCSynchronizer::getSimHitBx(), RPCSimSimple::simulateNoise(), RPCSimTriv::simulateNoise(), RPCSimParam::simulateNoise(), RPCSimAverageNoiseEffCls::simulateNoise(), RPCSimAverageNoise::simulateNoise(), RPCSimAverage::simulateNoise(), RPCSimAverageNoiseEff::simulateNoise(), and TracktoRPC::TracktoRPC().

{return theDetHeight;}

Member Data Documentation

float TrapezoidalStripTopology::theDetHeight

private

Definition at line 83 of file TrapezoidalStripTopology.h.

Referenced by localError(), localPosition(), localStripLength(), measurementError(), measurementPosition(), and stripLength().

float TrapezoidalStripTopology::theDistToBeam

private

Definition at line 82 of file TrapezoidalStripTopology.h.

Referenced by localError(), localPitch(), localPosition(), localStripLength(), measurementError(), measurementPosition(), radius(), strip(), and stripAngle().

int TrapezoidalStripTopology::theNumberOfStrips

private

Definition at line 79 of file TrapezoidalStripTopology.h.

Referenced by channel(), nstrips(), strip(), and TrapezoidalStripTopology().

float TrapezoidalStripTopology::theOffset

private

Definition at line 81 of file TrapezoidalStripTopology.h.

Referenced by localError(), localPosition(), measurementPosition(), shiftOffset(), strip(), stripAngle(), and TrapezoidalStripTopology().

float TrapezoidalStripTopology::thePitch

private

Definition at line 80 of file TrapezoidalStripTopology.h.

Referenced by localError(), localPitch(), localPosition(), measurementPosition(), pitch(), shiftOffset(), strip(), stripAngle(), and TrapezoidalStripTopology().

int TrapezoidalStripTopology::theYAxOr

private

Definition at line 84 of file TrapezoidalStripTopology.h.

Referenced by localError(), localPitch(), localPosition(), localStripLength(), measurementError(), measurementPosition(), strip(), stripAngle(), and TrapezoidalStripTopology().