#include <acts/blob/master/Core/include/Acts/Surfaces/ConeSurface.hpp>

Inheritance diagram for Acts::ConeSurface:

Collaboration diagram for Acts::ConeSurface:

Public Member Functions
	~ConeSurface () override=default
	Destructor - defaulted.

	ConeSurface ()=delete
	Default Constructor - deleted.

ConeSurface &	operator= (const ConeSurface &other)

const Vector3D	binningPosition (const GeometryContext &gctx, BinningValue bValue) const final

SurfaceType	type () const override
	Return the surface type.

const RotationMatrix3D	referenceFrame (const GeometryContext &gctx, const Vector3D &position, const Vector3D &momentum) const final

const Vector3D	normal (const GeometryContext &gctx, const Vector2D &lposition) const final

const Vector3D	normal (const GeometryContext &gctx, const Vector3D &position) const final

virtual const Vector3D	rotSymmetryAxis (const GeometryContext &gctx) const

const ConeBounds &	bounds () const final
	This method returns the ConeBounds by reference.

void	localToGlobal (const GeometryContext &gctx, const Vector2D &lposition, const Vector3D &momentum, Vector3D &position) const final

bool	globalToLocal (const GeometryContext &gctx, const Vector3D &position, const Vector3D &momentum, Vector2D &lposition) const final

Intersection	intersectionEstimate (const GeometryContext &gctx, const Vector3D &position, const Vector3D &direction, const BoundaryCheck &bcheck=false) const final
	Straight line intersection schema - provides closest intersection and (signed) path length.

SurfaceIntersection	intersect (const GeometryContext &gctx, const Vector3D &position, const Vector3D &direction, const BoundaryCheck &bcheck) const final

double	pathCorrection (const GeometryContext &gctx, const Vector3D &position, const Vector3D &direction) const final

Polyhedron	polyhedronRepresentation (const GeometryContext &gctx, size_t lseg) const override

std::string	name () const override
	Return properly formatted class name for screen output.

Public Member Functions inherited from Acts::Surface
virtual	~Surface ()

std::shared_ptr< Surface >	getSharedPtr ()

std::shared_ptr< const Surface >	getSharedPtr () const

Surface &	operator= (const Surface &other)

virtual bool	operator== (const Surface &other) const

virtual bool	operator!= (const Surface &sf) const

virtual const Transform3D &	transform (const GeometryContext &gctx) const

virtual const Vector3D	center (const GeometryContext &gctx) const

virtual const Vector3D	normal (const GeometryContext &gctx) const

const DetectorElementBase *	associatedDetectorElement () const

const Layer *	associatedLayer () const

void	associateLayer (const Layer &lay)

const ISurfaceMaterial *	surfaceMaterial () const

const std::shared_ptr< const ISurfaceMaterial > &	surfaceMaterialSharedPtr () const

void	assignSurfaceMaterial (std::shared_ptr< const ISurfaceMaterial > material)

bool	isOnSurface (const GeometryContext &gctx, const Vector3D &position, const Vector3D &momentum, const BoundaryCheck &bcheck=true) const

virtual bool	insideBounds (const Vector2D &lposition, const BoundaryCheck &bcheck=true) const

virtual void	initJacobianToGlobal (const GeometryContext &gctx, BoundToFreeMatrix &jacobian, const Vector3D &position, const Vector3D &direction, const BoundVector &pars) const

virtual const RotationMatrix3D	initJacobianToLocal (const GeometryContext &gctx, FreeToBoundMatrix &jacobian, const Vector3D &position, const Vector3D &direction) const

virtual const BoundRowVector	derivativeFactors (const GeometryContext &gctx, const Vector3D &position, const Vector3D &direction, const RotationMatrix3D &rft, const BoundToFreeMatrix &jacobian) const

virtual std::ostream &	toStream (const GeometryContext &gctx, std::ostream &sl) const

Public Member Functions inherited from Acts::GeometryObject
	GeometryObject ()=default
	Defaulted construrctor.

	GeometryObject (const GeometryObject &)=default
	Defaulted copy constructor.

	GeometryObject (const GeometryID &geoID)

GeometryObject &	operator= (const GeometryObject &geoID)

const GeometryID &	geoID () const

virtual double	binningPositionValue (const GeometryContext &gctx, BinningValue bValue) const

void	assignGeoID (const GeometryID &geoID)

Protected Member Functions
	ConeSurface (std::shared_ptr< const Transform3D > htrans, double alpha, bool symmetric=false)

	ConeSurface (std::shared_ptr< const Transform3D > htrans, double alpha, double zmin, double zmax, double halfPhi=M_PI)

	ConeSurface (std::shared_ptr< const Transform3D > htrans, const std::shared_ptr< const ConeBounds > &cbounds)

	ConeSurface (const ConeSurface &other)

	ConeSurface (const GeometryContext &gctx, const ConeSurface &other, const Transform3D &transf)

Protected Member Functions inherited from Acts::Surface
	Surface (std::shared_ptr< const Transform3D > tform=nullptr)

	Surface (const Surface &other)

	Surface (const DetectorElementBase &detelement)

	Surface (const GeometryContext &gctx, const Surface &other, const Transform3D &shift)

Protected Attributes
std::shared_ptr< const ConeBounds >	m_bounds
	bounds (shared)

Protected Attributes inherited from Acts::Surface
std::shared_ptr< const Transform3D >	m_transform

const DetectorElementBase *	m_associatedDetElement {nullptr}
	Pointer to the a DetectorElementBase.

const Layer *	m_associatedLayer {nullptr}

const TrackingVolume *	m_associatedTrackingVolume {nullptr}

std::shared_ptr< const ISurfaceMaterial >	m_surfaceMaterial
	Possibility to attach a material descrption.

Protected Attributes inherited from Acts::GeometryObject
GeometryID	m_geoID

Private Member Functions
detail::RealQuadraticEquation	intersectionSolver (const GeometryContext &gctx, const Vector3D &position, const Vector3D &direction) const

Private Attributes
friend	Surface

Additional Inherited Members
Public Types inherited from Acts::Surface
enum	SurfaceType { Cone = 0, Cylinder = 1, Disc = 2, Perigee = 3, Plane = 4, Straw = 5, Curvilinear = 6, Other = 7 }

Static Public Member Functions inherited from Acts::Surface
template<class T , typename... Args>
static std::shared_ptr< T >	makeShared (Args &&...args)

Detailed Description

Class for a conical surface in the Tracking geometry. It inherits from Surface.

The ConeSurface is special since no corresponding Track parameters exist since they're numerical instable at the tip of the cone. Propagations to a cone surface will be returned in curvilinear coordinates.

Definition at line 32 of file ConeSurface.hpp.

View newest version in sPHENIX GitHub at line 32 of file ConeSurface.hpp

Constructor & Destructor Documentation

Acts::ConeSurface::ConeSurface	(	std::shared_ptr< const Transform3D >	htrans,
		double	alpha,
		bool	symmetric = `false`
	)

protected

Constructor form HepTransform and an opening angle

Parameters

htrans	is the transform to place to cone in a 3D frame
alpha	is the opening angle of the cone
symmetric	indicates if the cones are built to +/1 z

Definition at line 34 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 34 of file ConeSurface.cpp

Acts::ConeSurface::ConeSurface	(	std::shared_ptr< const Transform3D >	htrans,
		double	alpha,
		double	zmin,
		double	zmax,
		double	halfPhi = `M_PI`
	)

protected

Constructor form HepTransform and an opening angle

Parameters

htrans	is the transform that places the cone in the global frame
alpha	is the opening angle of the cone
zmin	is the z range over which the cone spans
zmax	is the z range over which the cone spans
halfPhi	is the openen angle for cone ssectors

Definition at line 40 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 40 of file ConeSurface.cpp

Acts::ConeSurface::ConeSurface	(	std::shared_ptr< const Transform3D >	htrans,
		const std::shared_ptr< const ConeBounds > &	cbounds
	)

protected

Constructor from HepTransform and ConeBounds

Parameters

htrans	is the transform that places the cone in the global frame
cbounds	is the boundary class, the bounds must exit

Definition at line 48 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 48 of file ConeSurface.cpp

References throw_assert.

Acts::ConeSurface::ConeSurface ( const ConeSurface & other )

protected

Copy constructor

Parameters

other is the source cone surface

Definition at line 24 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 24 of file ConeSurface.cpp

Acts::ConeSurface::ConeSurface	(	const GeometryContext &	gctx,
		const ConeSurface &	other,
		const Transform3D &	transf
	)

protected

Copy constructor - with shift

Parameters

gctx	The current geometry context object, e.g. alignment
other	is the source cone surface
transf	is the additional transfrom applied after copying

Definition at line 27 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 27 of file ConeSurface.cpp

Acts::ConeSurface::~ConeSurface ( )

overridedefault

Destructor - defaulted.

Acts::ConeSurface::ConeSurface ( )

delete

Default Constructor - deleted.

Member Function Documentation

const Acts::Vector3D Acts::ConeSurface::binningPosition	(	const GeometryContext &	gctx,
		Acts::BinningValue	bValue
	)		const

finalvirtual

The binning position method - is overloaded for r-type binning

Parameters

gctx	The current geometry context object, e.g. alignment
bValue	defines the type of binning applied in the global frame

Returns: The return type is a vector for positioning in the global frame

Implements Acts::GeometryObject.

Definition at line 54 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 54 of file ConeSurface.cpp

References Acts::binR, and Acts::binRPhi.

const Acts::ConeBounds & Acts::ConeSurface::bounds ( ) const

finalvirtual

This method returns the ConeBounds by reference.

Implements Acts::Surface.

Definition at line 184 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 184 of file ConeSurface.cpp

bool Acts::ConeSurface::globalToLocal	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	momentum,
		Vector2D &	lposition
	)		const

finalvirtual

Global to local transformation

Parameters

gctx	The current geometry context object, e.g. alignment
position	is the global position to be transformed
momentum	is the global momentum (ignored in this operation)
lposition	is the local position to be filled

Returns: is a boolean indicating if the transformation succeeded

Implements Acts::Surface.

Definition at line 120 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 120 of file ConeSurface.cpp

References kdfinder::abs(), Acts::VectorHelpers::perp(), position, r, and Acts::Test::transform.

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SurfaceIntersection ConeSurface::intersect	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	direction,
		const BoundaryCheck &	bcheck
	)		const

inlinefinalvirtual

Straight line intersection schema from position/direction

Parameters

gctx	The current geometry context object, e.g. alignment
position	The position to start from
direction	The direction at start
bcheck	the Boundary Check

If possible returns both solutions for the cylinder

Returns: SurfaceIntersection object (contains intersection & surface)

Reimplemented from Acts::Surface.

Definition at line 65 of file ConeSurface.ipp.

View newest version in sPHENIX GitHub at line 65 of file ConeSurface.ipp

References Acts::ObjectIntersection< object_t, representation_t >::alternative, Acts::ObjectIntersection< object_t, representation_t >::intersection, Acts::s_onSurfaceTolerance, second, and Acts::Test::transform.

Intersection ConeSurface::intersectionEstimate	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	direction,
		const BoundaryCheck &	bcheck = `false`
	)		const

inlinefinalvirtual

Straight line intersection schema - provides closest intersection and (signed) path length.

Parameters

gctx	The current geometry context object, e.g. alignment
position	The start position for the intersection
direciton	The start direction for the intersection (expected normalized)
bcheck	The boundary check to be used in this directive

Returns: is the Intersection object

Implements Acts::Surface.

Definition at line 36 of file ConeSurface.ipp.

View newest version in sPHENIX GitHub at line 36 of file ConeSurface.ipp

References Acts::s_onSurfaceTolerance, and Acts::Test::transform.

detail::RealQuadraticEquation ConeSurface::intersectionSolver	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	direction
	)		const

inlineprivate

Implementation of the intersection solver

mathematical motivation:

The calculation will be done in the 3-dim frame of the cone, i.e. the symmetry axis of the cone is the z-axis, x- and y-axis are perpendicular to the the z-axis. In this frame the cone is centered around the origin. Therefore the two points describing the line have to be first recalculated into the new frame. Suppose, this is done, the points of intersection can be obtained as follows:

The cone is described by the implicit equation $x^2 + y^2 = z^2 \tan \alpha$ where $\alpha$ is opening half-angle of the cone the and the line by the parameter equation (with $t$ the parameter and $x_1$ and $x_2$ are points on the line) $(x,y,z) = \vec x_1 + (\vec x_2 - \vec x_2) t$ . The intersection is the given to the value of $t$ where the $(x,y,z)$ coordinates of the line satisfy the implicit equation of the cone. Inserting the expression for the points on the line into the equation of the cone and rearranging to the form of a gives (letting $\vec x_d = \frac{\vec x_2 - \vec x_1}{|\vec x_2 - \vec x_1|}$ ): $t^2 (x_d^2 + y_d^2 - z_d^2 \tan^2 \alpha) + 2 t (x_1 x_d + y_1 y_d - z_1 z_d \tan^2 \alpha) + (x_1^2 + y_1^2 - z_1^2 \tan^2 \alpha) = 0$ Solving the above for $t$ and putting the values into the equation of the line gives the points of intersection. $t$ is also the length of the path, since we normalized $x_d$ to be unit length.

Returns: the quadratic equation

Definition at line 13 of file ConeSurface.ipp.

View newest version in sPHENIX GitHub at line 13 of file ConeSurface.ipp

References A(), B(), C(), e, position, and Acts::Test::transform.

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void Acts::ConeSurface::localToGlobal	(	const GeometryContext &	gctx,
		const Vector2D &	lposition,
		const Vector3D &	momentum,
		Vector3D &	position
	)		const

finalvirtual

Local to global transformation

Parameters

gctx	The current geometry context object, e.g. alignment
lposition	is the local position to be transformed
momentum	is the global momentum (ignored in this operation)
position	is the global position which is filled

Implements Acts::Surface.

Definition at line 106 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 106 of file ConeSurface.cpp

References Acts::eLOC_RPHI, Acts::eLOC_Z, phi, r, and Acts::Test::transform.

std::string Acts::ConeSurface::name ( ) const

overridevirtual

Return properly formatted class name for screen output.

Implements Acts::Surface.

Definition at line 154 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 154 of file ConeSurface.cpp

const Acts::Vector3D Acts::ConeSurface::normal	(	const GeometryContext &	gctx,
		const Vector2D &	lposition
	)		const

finalvirtual

Return method for surface normal information

Parameters

gctx	The current geometry context object, e.g. alignment
lposition	is the local position at normal vector request

Returns: Vector3D normal vector in global frame

Implements Acts::Surface.

Definition at line 158 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 158 of file ConeSurface.cpp

References Acts::ConeBounds::eAlpha, Acts::eLOC_RPHI, Acts::eLOC_Z, phi, and Acts::Test::transform.

const Acts::Vector3D Acts::ConeSurface::normal	(	const GeometryContext &	gctx,
		const Vector3D &	position
	)		const

finalvirtual

Return method for surface normal information

Parameters

gctx	The current geometry context object, e.g. alignment
position	is the global position as normal vector base

Returns: Vector3D normal vector in global frame

Reimplemented from Acts::Surface.

Definition at line 172 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 172 of file ConeSurface.cpp

References position, and Acts::Test::transform.

Acts::ConeSurface & Acts::ConeSurface::operator= ( const ConeSurface & other )

Assignment operator

Parameters

other is the source surface for the assignment

Definition at line 72 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 72 of file ConeSurface.cpp

References m_bounds, and Acts::Surface::operator=().

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double Acts::ConeSurface::pathCorrection	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	direction
	)		const

finalvirtual

The pathCorrection for derived classes with thickness

Parameters

gctx	The current geometry context object, e.g. alignment
position	is the global potion at the correction point
direction	is the momentum direction at the correction point

Returns: is the path correction due to incident angle

Implements Acts::Surface.

Definition at line 135 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 135 of file ConeSurface.cpp

References kdfinder::abs(), Acts::ConeBounds::eAlpha, Acts::VectorHelpers::phi(), phi, position, and Acts::Test::transform.

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Acts::Polyhedron Acts::ConeSurface::polyhedronRepresentation	(	const GeometryContext &	gctx,
		size_t	lseg
	)		const

overridevirtual

Return a Polyhedron for the surfaces

Parameters

gctx	The current geometry context object, e.g. alignment
lseg	Number of segments along curved lines, it represents the full 2*M_PI coverange, if lseg is set to 1 only the extrema are given

Note: that a surface transform can invalidate the extrema in the transformed space

Returns: A list of vertices and a face/facett description of it

Implements Acts::Surface.

Definition at line 189 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 189 of file ConeSurface.cpp

References kdfinder::abs(), Acts::detail::VerticesHelper::createSegment(), Acts::detail::FacesHelper::cylindricalFaceMesh(), Acts::ConeBounds::eAveragePhi, Acts::ConeBounds::eHalfPhiSector, Acts::ConeBounds::eMaxZ, Acts::ConeBounds::eMinZ, M_PI, maxZ, one, Acts::detail::VerticesHelper::phiSegments(), r, Acts::s_onSurfaceTolerance, boost::swap(), three, Acts::Test::transform, two, and z.

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const Acts::RotationMatrix3D Acts::ConeSurface::referenceFrame	(	const GeometryContext &	gctx,
		const Vector3D &	position,
		const Vector3D &	momentum
	)		const

finalvirtual

Return the measurement frame - this is needed for alignment, in particular for StraightLine and Perigee Surface

the default implementation is the the RotationMatrix3D of the transform

Parameters

gctx	The current geometry context object, e.g. alignment
position	is the global position where the measurement frame is constructed
momentum	is the momentum used for the measurement frame construction

Returns: matrix that indicates the measurement frame

<

Reimplemented from Acts::Surface.

Definition at line 85 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 85 of file ConeSurface.cpp

const Acts::Vector3D Acts::ConeSurface::rotSymmetryAxis ( const GeometryContext & gctx ) const

virtual

Parameters

gctx	The current geometry context object, e.g. alignment

Definition at line 80 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 80 of file ConeSurface.cpp

References Acts::Test::transform.

Acts::Surface::SurfaceType Acts::ConeSurface::type ( ) const

overridevirtual

Return the surface type.

Implements Acts::Surface.

Definition at line 68 of file ConeSurface.cpp.

View newest version in sPHENIX GitHub at line 68 of file ConeSurface.cpp

References Acts::Surface::Cone.

Member Data Documentation

std::shared_ptr<const ConeBounds> Acts::ConeSurface::m_bounds

protected

bounds (shared)

Definition at line 216 of file ConeSurface.hpp.

View newest version in sPHENIX GitHub at line 216 of file ConeSurface.hpp

Referenced by operator=().

friend Acts::ConeSurface::Surface

private

Definition at line 33 of file ConeSurface.hpp.

View newest version in sPHENIX GitHub at line 33 of file ConeSurface.hpp

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

acts/blob/master/Core/include/Acts/Surfaces/ConeSurface.hpp
acts/blob/master/Core/include/Acts/Surfaces/detail/ConeSurface.ipp
acts/blob/master/Core/src/Surfaces/ConeSurface.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation