voronoi2d::EventUtilities Class Reference

Internal class definitions to facilitate construction of diagram. More...

#include "EventUtilities.h"

Public Member Functions
	EventUtilities ()
	~EventUtilities ()
double	computeArcVal (const double, const double, const IEvent *) const
double	computeBreak (const double, const IEvent *, const IEvent *, RootsPair &) const
bool	newSiteToLeft (const IEvent *, const IEvent *, const IEvent *) const

Detailed Description

Internal class definitions to facilitate construction of diagram.

Definition at line 28 of file EventUtilities.h.

Constructor & Destructor Documentation

voronoi2d::EventUtilities::EventUtilities ( )

inline

Definition at line 31 of file EventUtilities.h.

{}

voronoi2d::EventUtilities::~EventUtilities ( )

inline

Definition at line 32 of file EventUtilities.h.

References computeArcVal(), computeBreak(), and newSiteToLeft().

{}

Member Function Documentation

double voronoi2d::EventUtilities::computeArcVal	(	const double	beachPos,
		const double	yPos,
		const IEvent *	arc
	)		const

Definition at line 26 of file EventUtilitiies.cxx.

References max, voronoi2d::IEvent::xPos(), and voronoi2d::IEvent::yPos().

Referenced by voronoi2d::VoronoiDiagram::terminateInfiniteEdges(), and ~EventUtilities().

{
    // Note that if the input arc site point lies on the beach line then the arc position is infinite
    double arcVal   = std::numeric_limits<double>::max();
    double deltaxLx = arc->xPos() - beachPos;
    
    if (std::abs(deltaxLx) > std::numeric_limits<double>::epsilon())
    {
        double deltayPy = yPos - arc->yPos();
        double sumPxLx  = arc->xPos() + beachPos;
    
        arcVal = 0.5 * (deltayPy * deltayPy / deltaxLx + sumPxLx);
    }
    
    return arcVal;
}

double voronoi2d::EventUtilities::computeBreak	(	const double	beachLinePos,
		const IEvent *	leftArc,
		const IEvent *	rightArc,
		RootsPair &	roots
	)		const

Definition at line 43 of file EventUtilitiies.cxx.

References max, min, voronoi2d::IEvent::xPos(), and voronoi2d::IEvent::yPos().

Referenced by newSiteToLeft(), voronoi2d::VoronoiDiagram::terminateInfiniteEdges(), and ~EventUtilities().

{
    // Given arcs to the left and right of this node (meaning we are a breakpoint), compute the
    // current coordinates of the breakpoint based on the input beachline position    
    double lx         = beachLinePos;
    double deltaX1    = leftArc->xPos()  - lx;
    double deltaX2    = rightArc->xPos() - lx;
    double breakPoint = -std::numeric_limits<double>::max();
    
    // if the two are the same then the arcs are side-by-side and intersection is right in the middle
    if (std::abs(deltaX1 - deltaX2) < std::numeric_limits<double>::epsilon()) breakPoint = 0.5 * (rightArc->yPos() + leftArc->yPos());
    
    // otherwise, we do the full calculation
    else
    {
        // set up for quadratic equation
        double p1x     = leftArc->xPos();
        double p1y     = leftArc->yPos();
        double p2x     = rightArc->xPos();
        double p2y     = rightArc->yPos();
        double a       = p2x - p1x;
        double b       = 2. * (p2y * deltaX1 - p1y * deltaX2);
        double c       = deltaX2 * (p1y * p1y + deltaX1 * (p1x + lx)) - deltaX1 * (p2y * p2y + deltaX2 * (p2x + lx));
        double radical = std::max(0.,b * b - 4. * a * c);
        
        if (radical > 0.) radical = sqrt(radical);
        
        double rootPos = 0.5 * (-b + radical) / a;
        double rootNeg = 0.5 * (-b - radical) / a;
        
        roots.first  = std::min(rootPos, rootNeg);
        roots.second = std::max(rootPos, rootNeg);
        
        // Ah yes, the eternal question... which solution?
        // Generally, we think we want the solution which is "between" the left and the right
        // However, it can be that the right arc is the remnant of an arc whose center lies to the
        // left of the center of the left arc, and vice versa.
        if (p1x < p2x) breakPoint = roots.second;
        else           breakPoint = roots.first;
    }
    
    return breakPoint;
}

bool voronoi2d::EventUtilities::newSiteToLeft	(	const IEvent *	newSite,
		const IEvent *	leftArc,
		const IEvent *	rightArc
	)		const

Definition at line 87 of file EventUtilitiies.cxx.

References computeBreak(), voronoi2d::IEvent::xPos(), and voronoi2d::IEvent::yPos().

Referenced by ~EventUtilities().

{
    // Note that the input site is used to give us the position of the sweep line
    // Using the coordinates of the beach line then recover the current breakpoint between the two
    // input arcs
    RootsPair roots;
    
    double breakPoint = computeBreak(newSite->xPos()-0.000001, leftArc, rightArc, roots);
    
    return newSite->yPos() < breakPoint;
}

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The documentation for this class was generated from the following files:

• /cvmfs/larsoft.opensciencegrid.org/products/larreco/v07_10_02/source/larreco/RecoAlg/Cluster3DAlgs/Voronoi/EventUtilities.h
• /cvmfs/larsoft.opensciencegrid.org/products/larreco/v07_10_02/source/larreco/RecoAlg/Cluster3DAlgs/Voronoi/EventUtilitiies.cxx