#include <TangentCircle.h>

Public Member Functions
int	charge (float magz)

double	curvatureError ()

GlobalVector	directionAtVertex ()
	Return the direction at the vertex. More...

GlobalPoint	innerPoint () const

GlobalPoint	outerPoint () const

double	rho () const

	TangentCircle ()

	TangentCircle (const GlobalPoint &outerPoint, const GlobalPoint &innerPoint, const GlobalPoint &vertexPoint)
	Copy of FastCircle. More...

	TangentCircle (const GlobalVector &direction, const GlobalPoint &innerPoint, const GlobalPoint &outerPoint)

	TangentCircle (const TangentCircle &primCircle, const GlobalPoint &outerPoint, const GlobalPoint &innerPoint)
	Calculate the parameters of a circle which pass by 2 points (innerPoint and outerPoint) and which is tangent to primCircle. More...

double	vertexError () const

GlobalPoint	vertexPoint () const

double	x0 () const

double	y0 () const

Private Member Functions
int	chargeLocally (float magz, GlobalVector v) const

GlobalVector	direction (const GlobalPoint &point) const

GlobalPoint	getPosition (const TangentCircle &circle, const GlobalPoint &initalPosition, double theta, int direction) const

double	isTangent (const TangentCircle &primCircle, const TangentCircle &secCircle) const

Private Attributes
int	theCharge

GlobalVector	theDirectionAtVertex

GlobalPoint	theInnerPoint

GlobalPoint	theOuterPoint

double	theRho

double	theVertexError

GlobalPoint	theVertexPoint

double	theX0

double	theY0

bool	valid

Detailed Description

Definition at line 7 of file TangentCircle.h.

Constructor & Destructor Documentation

◆ TangentCircle() [1/4]

TangentCircle::TangentCircle ( )

inline

Definition at line 13 of file TangentCircle.h.

       : theInnerPoint(),
         theOuterPoint(),
         theVertexPoint(),
         theDirectionAtVertex(),
         theX0(0),
         theY0(0),
         theRho(0),
         theVertexError(0),
         valid(false),
         theCharge(0) {}

◆ TangentCircle() [2/4]

TangentCircle::TangentCircle	(	const GlobalVector &	direction,
		const GlobalPoint &	innerPoint,
		const GlobalPoint &	outerPoint
	)

Calculate the circle from 2 points on the circle (the vertex=innerPoint and the outerPoint) and the tangent direction at the inner point

Definition at line 7 of file TangentCircle.cc.

     : theInnerPoint(inner), theOuterPoint(outer), theVertexPoint(inner) {
   if (theInnerPoint.perp2() > theOuterPoint.perp2()) {
     valid = false;
   } else
     valid = true;
  
   double x1 = inner.x();
   double y1 = inner.y();
   double x2 = outer.x();
   double y2 = outer.y();
   double alpha1 = (direction.y() != 0) ? atan(-direction.x() / direction.y()) : PI / 2;
   double denominator = 2 * ((x1 - x2) * cos(alpha1) + (y1 - y2) * sin(alpha1));
   theRho = (denominator != 0) ? ((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)) / denominator : 1E12;
  
   // TODO : variable not yet calculated look in nucl.C
   theX0 = 1E10;
   theY0 = 1E10;
  
   theDirectionAtVertex = direction;
   theDirectionAtVertex /= theDirectionAtVertex.mag();
  
   //theCharge = (theRho>0) ? -1 : 1;
  
   theCharge = 0;
   theRho = fabs(theRho);
  
   theVertexError = (theInnerPoint - theOuterPoint).mag();
 }

References funct::cos(), HLTTauDQMOffline_cfi::denominator, direction(), SurfaceOrientation::inner, PV3DBase< T, PVType, FrameType >::mag(), mag(), SurfaceOrientation::outer, PV3DBase< T, PVType, FrameType >::perp2(), funct::sin(), theCharge, theDirectionAtVertex, theInnerPoint, theOuterPoint, theRho, theVertexError, theX0, theY0, valid, PV3DBase< T, PVType, FrameType >::x(), testProducerWithPsetDescEmpty_cfi::x1, testProducerWithPsetDescEmpty_cfi::x2, PV3DBase< T, PVType, FrameType >::y(), testProducerWithPsetDescEmpty_cfi::y1, and testProducerWithPsetDescEmpty_cfi::y2.

◆ TangentCircle() [3/4]

TangentCircle::TangentCircle	(	const GlobalPoint &	outerPoint,
		const GlobalPoint &	innerPoint,
		const GlobalPoint &	vertexPoint
	)

Copy of FastCircle.

Definition at line 37 of file TangentCircle.cc.

     : theInnerPoint(innerPoint), theOuterPoint(outerPoint), theVertexPoint(vertexPoint) {
   FastCircle circle(outerPoint, innerPoint, vertexPoint);
   theX0 = circle.x0();
   theY0 = circle.y0();
   theRho = circle.rho();
   theVertexError = 0;
   theCharge = 0;
   theDirectionAtVertex = GlobalVector(1000, 1000, 1000);
   if (theInnerPoint.perp2() > theOuterPoint.perp2() || !circle.isValid()) {
     valid = false;
   } else
     valid = true;
 }

References innerPoint(), FastCircle::isValid(), outerPoint(), PV3DBase< T, PVType, FrameType >::perp2(), FastCircle::rho(), theCharge, theDirectionAtVertex, theInnerPoint, theOuterPoint, theRho, theVertexError, theX0, theY0, valid, vertexPoint(), FastCircle::x0(), and FastCircle::y0().

◆ TangentCircle() [4/4]

TangentCircle::TangentCircle	(	const TangentCircle &	primCircle,
		const GlobalPoint &	outerPoint,
		const GlobalPoint &	innerPoint
	)

Calculate the parameters of a circle which pass by 2 points (innerPoint and outerPoint) and which is tangent to primCircle.

Definition at line 54 of file TangentCircle.cc.

                                                             {
   if (theInnerPoint.perp2() > theOuterPoint.perp2()) {
     valid = false;
   } else
     valid = true;
  
   int NITER = 10;
  
   // Initial vertex used = outerPoint of the primary circle (should be the first estimation of the nuclear interaction position)
   GlobalPoint InitialVertex(primCircle.outerPoint().x(), primCircle.outerPoint().y(), 0);
   GlobalPoint SecInnerPoint(innerPoint.x(), innerPoint.y(), 0);
   GlobalPoint SecOuterPoint(outerPoint.x(), outerPoint.y(), 0);
  
   // distance between the initial vertex and the inner point of the secondary circle
   double s = (SecInnerPoint - InitialVertex).mag();
   double deltaTheta = s / primCircle.rho();
  
   double minTangentCondition = 1E12;
   TangentCircle theCorrectSecCircle;
   GlobalPoint vertex = InitialVertex;
   int dir = 1;
   double theta = deltaTheta / (NITER - 1);
  
   for (int i = 0; i < NITER; i++) {
     // get the circle which pass through outerPoint, innerPoint and the vertex
     TangentCircle secCircle(SecOuterPoint, SecInnerPoint, vertex);
  
     // get a value relative to the tangentness of the 2 circles
     double minCond = isTangent(primCircle, secCircle);
  
     // double dirDiff = (primCircle.direction(vertex) - secCircle.direction(vertex)).mag();
     // if( dirDiff > 1) dirDiff = 2-dirDiff;
  
     if (minCond < minTangentCondition) {
       minTangentCondition = minCond;
       theCorrectSecCircle = secCircle;
       vertex = getPosition(primCircle, secCircle.vertexPoint(), theta, dir);
       if (i == 0 && ((vertex - SecInnerPoint).mag() > (InitialVertex - SecInnerPoint).mag())) {
         dir = -1;
         vertex = getPosition(primCircle, InitialVertex, theta, dir);
         LogDebug("NuclearSeedGenerator") << "Change direction to look for vertex"
                                          << "\n";
       }
     } else
       break;
   }
   theInnerPoint = theCorrectSecCircle.innerPoint();
   theOuterPoint = theCorrectSecCircle.outerPoint();
   theVertexPoint = theCorrectSecCircle.vertexPoint();
   theX0 = theCorrectSecCircle.x0();
   theY0 = theCorrectSecCircle.y0();
   theRho = theCorrectSecCircle.rho();
   theCharge = 0;
   theDirectionAtVertex = GlobalVector(1000, 1000, 1000);
  
   theVertexError = s / NITER;
 }

References DeadROC_duringRun::dir, getPosition(), mps_fire::i, innerPoint(), isTangent(), LogDebug, mag(), outerPoint(), PV3DBase< T, PVType, FrameType >::perp2(), rho(), alignCSCRings::s, theCharge, theDirectionAtVertex, theInnerPoint, theOuterPoint, theRho, theta(), theVertexError, theVertexPoint, theX0, theY0, valid, bphysicsOniaDQM_cfi::vertex, vertexPoint(), PV3DBase< T, PVType, FrameType >::x(), x0(), PV3DBase< T, PVType, FrameType >::y(), and y0().

Member Function Documentation

◆ charge()

int TangentCircle::charge ( float magz )

Definition at line 205 of file TangentCircle.cc.

                                     {
   if (theCharge != 0)
     return theCharge;
  
   if (theX0 > 1E9 || theY0 > 1E9)
     theCharge = chargeLocally(magz, directionAtVertex());
   else {
     GlobalPoint center(theX0, theY0, 0);
     GlobalVector u = center - theVertexPoint;
     GlobalVector v = directionAtVertex();
  
     // F = force vector
     GlobalVector F(v.y() * magz, -v.x() * magz, 0);
     if (u.x() * F.x() + u.y() * F.y() > 0)
       theCharge = -1;
     else
       theCharge = 1;
  
     if (theCharge != chargeLocally(magz, v)) {
       LogDebug("NuclearSeedGenerator") << "Inconsistency in calculation of the charge"
                                        << "\n";
     }
   }
   return theCharge;
 }

References chargeLocally(), directionAtVertex(), F(), LogDebug, theCharge, theVertexPoint, theX0, theY0, findQualityFiles::v, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

Referenced by TangentHelix::charge().

◆ chargeLocally()

int TangentCircle::chargeLocally	(	float	magz,
		GlobalVector	v
	)		const

private

Definition at line 231 of file TangentCircle.cc.

                                                                  {
   GlobalVector u = theOuterPoint - theVertexPoint;
   double tz = v.x() * u.y() - v.y() * u.x();
  
   if (tz * magz > 0)
     return 1;
   else
     return -1;
 }

References theOuterPoint, theVertexPoint, findQualityFiles::v, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

Referenced by charge().

◆ curvatureError()

double TangentCircle::curvatureError ( )

Definition at line 193 of file TangentCircle.cc.

                                      {
   if ((theInnerPoint - theVertexPoint).mag() < theVertexError) {
     TangentCircle circle1(directionAtVertex(), theVertexPoint - theVertexError * directionAtVertex(), theOuterPoint);
     TangentCircle circle2(directionAtVertex(), theVertexPoint + theVertexError * directionAtVertex(), theOuterPoint);
     return fabs(1 / circle1.rho() - 1 / circle2.rho());
   } else {
     TangentCircle circle1(theOuterPoint, theInnerPoint, theVertexPoint - theVertexError * directionAtVertex());
     TangentCircle circle2(theOuterPoint, theInnerPoint, theVertexPoint + theVertexError * directionAtVertex());
     return fabs(1 / circle1.rho() - 1 / circle2.rho());
   }
 }

References directionAtVertex(), mag(), rho(), theInnerPoint, theOuterPoint, theVertexError, and theVertexPoint.

Referenced by TangentHelix::curvatureError().

◆ direction()

GlobalVector TangentCircle::direction ( const GlobalPoint & point ) const

private

Definition at line 125 of file TangentCircle.cc.

                                                                     {
   if (theY0 > 1E9 || theX0 > 1E9) {
     LogDebug("NuclearSeedGenerator") << "Center of TangentCircle not calculated but used !!!"
                                      << "\n";
   }
  
   // calculate the direction perpendicular to the vector v = point - center_of_circle
   GlobalVector dir(point.y() - theY0, theX0 - point.x(), 0);
  
   dir /= dir.mag();
  
   // Check the sign :
   GlobalVector fastDir = theOuterPoint - theInnerPoint;
   double diff = (dir - fastDir).mag();
   double sum = (dir + fastDir).mag();
  
   if (sum < diff)
     dir = (-1) * dir;
  
   return dir;
 }

References change_name::diff, DeadROC_duringRun::dir, LogDebug, mag(), point, theInnerPoint, theOuterPoint, theX0, and theY0.

Referenced by directionAtVertex(), and TangentCircle().

◆ directionAtVertex()

GlobalVector TangentCircle::directionAtVertex ( )

Return the direction at the vertex.

Definition at line 147 of file TangentCircle.cc.

                                               {
   if (theDirectionAtVertex.x() > 999)
     theDirectionAtVertex = direction(theVertexPoint);
   return theDirectionAtVertex;
 }

References direction(), theDirectionAtVertex, theVertexPoint, and PV3DBase< T, PVType, FrameType >::x().

Referenced by charge(), curvatureError(), and TangentHelix::directionAtVertex().

◆ getPosition()

GlobalPoint TangentCircle::getPosition	(	const TangentCircle &	circle,
		const GlobalPoint &	initalPosition,
		double	theta,
		int	direction
	)		const

private

Definition at line 153 of file TangentCircle.cc.

                                                       {
   int sign[3];
   double x2 = initalPosition.x();
   double y2 = initalPosition.y();
  
   if ((x2 > circle.x0()) && dir > 0) {
     sign[0] = 1;
     sign[1] = -1;
     sign[2] = -1;
   }
   if ((x2 > circle.x0()) && dir < 0) {
     sign[0] = 1;
     sign[1] = 1;
     sign[2] = 1;
   }
   if ((x2 < circle.x0()) && dir > 0) {
     sign[0] = -1;
     sign[1] = 1;
     sign[2] = -1;
   }
   if ((x2 < circle.x0()) && dir < 0) {
     sign[0] = -1;
     sign[1] = -1;
     sign[2] = 1;
   }
  
   double l = 2 * circle.rho() * sin(theta / 2);
   double alpha = atan((y2 - circle.y0()) / (x2 - circle.x0()));
   double beta = PI / 2 - theta / 2;
   double gamma = PI + sign[2] * alpha - beta;
  
   double xnew = x2 + sign[0] * l * cos(gamma);
   double ynew = y2 + sign[1] * l * sin(gamma);
  
   return GlobalPoint(xnew, ynew, 0);
 }

References zMuMuMuonUserData::alpha, zMuMuMuonUserData::beta, funct::cos(), DeadROC_duringRun::dir, CustomPhysics_cfi::gamma, cmsLHEtoEOSManager::l, rho(), Validation_hcalonly_cfi::sign, funct::sin(), theta(), PV3DBase< T, PVType, FrameType >::x(), x0(), testProducerWithPsetDescEmpty_cfi::x2, PV3DBase< T, PVType, FrameType >::y(), y0(), and testProducerWithPsetDescEmpty_cfi::y2.

Referenced by TangentCircle().

◆ innerPoint()

GlobalPoint TangentCircle::innerPoint ( ) const

inline

Definition at line 46 of file TangentCircle.h.

46 { return theInnerPoint; }

References theInnerPoint.

Referenced by TangentCircle().

◆ isTangent()

double TangentCircle::isTangent	(	const TangentCircle &	primCircle,
		const TangentCircle &	secCircle
	)		const

private

Definition at line 114 of file TangentCircle.cc.

                                                                                                      {
   // return a value that should be equal to 0 if primCircle and secCircle are tangent
  
   double distanceBetweenCircle = (primCircle.x0() - secCircle.x0()) * (primCircle.x0() - secCircle.x0()) +
                                  (primCircle.y0() - secCircle.y0()) * (primCircle.y0() - secCircle.y0());
   double RadiusSum = (primCircle.rho() + secCircle.rho()) * (primCircle.rho() + secCircle.rho());
   double RadiusDifference = (primCircle.rho() - secCircle.rho()) * (primCircle.rho() - secCircle.rho());
  
   return std::min(fabs(RadiusSum - distanceBetweenCircle), fabs(RadiusDifference - distanceBetweenCircle));
 }

References min(), rho(), x0(), and y0().

Referenced by TangentCircle().

◆ outerPoint()

GlobalPoint TangentCircle::outerPoint ( ) const

inline

Definition at line 44 of file TangentCircle.h.

44 { return theOuterPoint; }

References theOuterPoint.

Referenced by TangentCircle().

◆ rho()

double TangentCircle::rho ( ) const

inline

Definition at line 42 of file TangentCircle.h.

42 { return theRho; }

References theRho.

Referenced by Lepton.Lepton::absIsoFromEA(), Muon.Muon::absIsoWithFSR(), curvatureError(), getPosition(), isTangent(), TangentHelix::rho(), and TangentCircle().

◆ vertexError()

double TangentCircle::vertexError ( ) const

inline

Definition at line 50 of file TangentCircle.h.

50 { return theVertexError; }

References theVertexError.

Referenced by TangentHelix::vertexError().

◆ vertexPoint()

GlobalPoint TangentCircle::vertexPoint ( ) const

inline

Definition at line 48 of file TangentCircle.h.

48 { return theVertexPoint; }

References theVertexPoint.

Referenced by TangentCircle(), and TangentHelix::TangentHelix().

◆ x0()

double TangentCircle::x0 ( ) const

inline

Definition at line 38 of file TangentCircle.h.

38 { return theX0; }

References theX0.

Referenced by getPosition(), isTangent(), and TangentCircle().

◆ y0()

double TangentCircle::y0 ( ) const

inline

Definition at line 40 of file TangentCircle.h.

40 { return theY0; }

References theY0.

Referenced by getPosition(), isTangent(), and TangentCircle().

Member Data Documentation

◆ theCharge

int TangentCircle::theCharge

private

Definition at line 70 of file TangentCircle.h.

Referenced by charge(), and TangentCircle().

◆ theDirectionAtVertex

GlobalVector TangentCircle::theDirectionAtVertex

private

Definition at line 61 of file TangentCircle.h.

Referenced by directionAtVertex(), and TangentCircle().

◆ theInnerPoint

GlobalPoint TangentCircle::theInnerPoint

private

Definition at line 57 of file TangentCircle.h.

Referenced by curvatureError(), direction(), innerPoint(), and TangentCircle().

◆ theOuterPoint

GlobalPoint TangentCircle::theOuterPoint

private

Definition at line 58 of file TangentCircle.h.

Referenced by chargeLocally(), curvatureError(), direction(), outerPoint(), and TangentCircle().

◆ theRho

double TangentCircle::theRho

private

Signed radius of the circle (=q*R)

Definition at line 65 of file TangentCircle.h.

Referenced by rho(), and TangentCircle().

◆ theVertexError

double TangentCircle::theVertexError

private

the error on the vertex position along the direction of the circle at this point

Definition at line 67 of file TangentCircle.h.

Referenced by curvatureError(), TangentCircle(), and vertexError().

◆ theVertexPoint

GlobalPoint TangentCircle::theVertexPoint

private

Definition at line 59 of file TangentCircle.h.

Referenced by charge(), chargeLocally(), curvatureError(), directionAtVertex(), TangentCircle(), and vertexPoint().

◆ theX0

double TangentCircle::theX0

private

x center of the circle

Definition at line 63 of file TangentCircle.h.

Referenced by charge(), direction(), TangentCircle(), and x0().

◆ theY0

double TangentCircle::theY0

private

y center of the circle

Definition at line 64 of file TangentCircle.h.

Referenced by charge(), direction(), TangentCircle(), and y0().

◆ valid

bool TangentCircle::valid

private

Definition at line 69 of file TangentCircle.h.

Referenced by TangentCircle().

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ TangentCircle() [1/4]

◆ TangentCircle() [2/4]

◆ TangentCircle() [3/4]

◆ TangentCircle() [4/4]

Member Function Documentation

◆ charge()

◆ chargeLocally()

◆ curvatureError()

◆ direction()

◆ directionAtVertex()

◆ getPosition()

◆ innerPoint()

◆ isTangent()

◆ outerPoint()

◆ rho()

◆ vertexError()

◆ vertexPoint()

◆ x0()

◆ y0()

Member Data Documentation

◆ theCharge

◆ theDirectionAtVertex

◆ theInnerPoint

◆ theOuterPoint

◆ theRho

◆ theVertexError

◆ theVertexPoint

◆ theX0

◆ theY0

◆ valid