#include <TangentCircle.h>

Public Member Functions
int	charge (float magz)
double	curvatureError ()
GlobalVector	directionAtVertex ()
	Return the direction at the vertex.
GlobalPoint	innerPoint () const
bool	isValid () const
GlobalPoint	outerPoint () const
double	rho () const
	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.
	TangentCircle ()
	TangentCircle (const GlobalVector &direction, const GlobalPoint &innerPoint, const GlobalPoint &outerPoint)
	TangentCircle (const GlobalPoint &outerPoint, const GlobalPoint &innerPoint, const GlobalPoint &vertexPoint)
	Copy of FastCircle.
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::TangentCircle ( ) [inline]

Definition at line 14 of file TangentCircle.h.

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

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.

References funct::cos(), RecoTauValidation_cfi::denominator, direction(), PV3DBase< T, PVType, FrameType >::mag(), mag(), PV3DBase< T, PVType, FrameType >::perp2(), PI, funct::sin(), theCharge, theDirectionAtVertex, theInnerPoint, theOuterPoint, theRho, theVertexError, theX0, theY0, valid, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

                                                                                                              : 
       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();
}

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

Copy of FastCircle.

Definition at line 36 of file TangentCircle.cc.

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

                                                                                                                         : 
     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;
}

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 49 of file TangentCircle.cc.

References dir, getPosition(), 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, vertexPoint(), PV3DBase< T, PVType, FrameType >::x(), x0(), PV3DBase< T, PVType, FrameType >::y(), and y0().

                                                                                                                          {

   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;
}

Member Function Documentation

int TangentCircle::charge ( float magz )

Definition at line 180 of file TangentCircle.cc.

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

Referenced by TangentHelix::charge().

                                    {

   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;
}

int TangentCircle::chargeLocally	(	float	magz,
		GlobalVector	v
	)		const `[private]`

Definition at line 203 of file TangentCircle.cc.

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

Referenced by charge().

                                                                 {
    GlobalVector  u = theOuterPoint - theVertexPoint;
    double tz = v.x() * u.y() - v.y() * u.x() ;

    if(tz * magz > 0) return 1; else return -1;
}

double TangentCircle::curvatureError ( )

Definition at line 167 of file TangentCircle.cc.

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

Referenced by TangentHelix::curvatureError().

                                     {
   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());
   }
}

GlobalVector TangentCircle::direction ( const GlobalPoint & point ) const [private]

Definition at line 118 of file TangentCircle.cc.

References diffTreeTool::diff, dir, LogDebug, mag(), theInnerPoint, theOuterPoint, theX0, theY0, PV3DBase< T, PVType, FrameType >::x(), and PV3DBase< T, PVType, FrameType >::y().

Referenced by directionAtVertex(), and TangentCircle().

                                                                    {

     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;
}

GlobalVector TangentCircle::directionAtVertex ( )

Return the direction at the vertex.

Definition at line 139 of file TangentCircle.cc.

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

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

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

GlobalPoint TangentCircle::getPosition	(	const TangentCircle &	circle,
		const GlobalPoint &	initalPosition,
		double	theta,
		int	direction
	)		const `[private]`

Definition at line 145 of file TangentCircle.cc.

References alpha, beta, funct::cos(), prof2calltree::l, PI, rho(), funct::sin(), PV3DBase< T, PVType, FrameType >::x(), x0(), PV3DBase< T, PVType, FrameType >::y(), and y0().

Referenced by TangentCircle().

                                                                                                                                  {
             
            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 );
}

GlobalPoint TangentCircle::innerPoint ( ) const [inline]

Definition at line 40 of file TangentCircle.h.

References theInnerPoint.

Referenced by TangentCircle().

{ return theInnerPoint; }

double TangentCircle::isTangent	(	const TangentCircle &	primCircle,
		const TangentCircle &	secCircle
	)		const `[private]`

Definition at line 107 of file TangentCircle.cc.

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

Referenced by TangentCircle().

                                                                                                     {
   // 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) ); 
}