class ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>


Class describing a generic position vector (point) in 3 dimensions.
This class is templated on the type of Coordinate system.
One example is the XYZPoint which is a vector based on
double precision x,y,z data members by using the
ROOT::Math::Cartesian3D<double> Coordinate system.
The class is having also an extra template parameter, the coordinate system tag,
to be able to identify (tag) vector described in different reference coordinate system,
like global or local coordinate systems.

@ingroup GenVector

Function Members (Methods)

public:
~PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>()
const ROOT::Math::Cartesian3D<double>&Coordinates() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>Cross(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>Cross(const ROOT::Math::DisplacementVector3D<ROOT::Math::CylindricalEta3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>Cross(const ROOT::Math::DisplacementVector3D<ROOT::Math::Polar3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarDot(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarDot(const ROOT::Math::DisplacementVector3D<ROOT::Math::CylindricalEta3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarDot(const ROOT::Math::DisplacementVector3D<ROOT::Math::Polar3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarEta() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalareta() const
voidGetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar* dest) const
voidGetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& a, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& b, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& c) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarMag2() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarmag2() const
booloperator!=(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& rhs) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>operator*(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator*=(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator+=(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator+=(const ROOT::Math::DisplacementVector3D<ROOT::Math::CylindricalEta3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator+=(const ROOT::Math::DisplacementVector3D<ROOT::Math::Polar3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator-=(const ROOT::Math::DisplacementVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator-=(const ROOT::Math::DisplacementVector3D<ROOT::Math::CylindricalEta3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator-=(const ROOT::Math::DisplacementVector3D<ROOT::Math::Polar3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>operator/(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator/=(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator=(const ROOT::Math::PositionVector3D<ROOT::Math::CylindricalEta3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator=(const ROOT::Math::PositionVector3D<ROOT::Math::Polar3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& v)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&operator=(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&)
booloperator==(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& rhs) const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarPerp2() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarperp2() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarPhi() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarphi() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>()
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>&)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& a, const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& b, const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& c)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarR() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarr() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarRho() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarrho() const
voidSetCoordinates(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar* src)
voidSetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar b, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar c)
voidSetEta(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar eta)
voidSetPhi(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar phi)
voidSetR(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar r)
voidSetRho(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar rho)
voidSetTheta(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar theta)
voidSetX(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar x)
voidSetXYZ(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar x, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar y, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar z)
voidSetY(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar y)
voidSetZ(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar z)
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarTheta() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalartheta() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarX() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarx() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarY() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalary() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::ScalarZ() const
ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalarz() const

Data Members

private:
ROOT::Math::Cartesian3D<double>fCoordinates

Class Charts

Inheritance Inherited Members Includes Libraries
Class Charts

Function documentation

PositionVector3D & operator=( const ForeignVector & v)
Assignment from a foreign 3D vector type, for example, Hep3Vector
Precondition: v must implement methods x(), y() and z()

SetXYZ(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar x, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar y, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar z)
const CoordSystem & Coordinates()
Retrieve a copy of the coordinates object

void SetCoordinates(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar* src)
Set internal data based on a C-style array of 3 Scalar numbers

{ fCoordinates.SetCoordinates(src); }
void SetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar a, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar b, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar c)
Set internal data based on 3 Scalar numbers

{ fCoordinates.SetCoordinates(a, b, c); }
void GetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& a, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& b, ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar& c) const
get internal data into 3 Scalar numbers

{ fCoordinates.GetCoordinates(a, b, c); }
void GetCoordinates(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar* dest) const
get internal data into a C-style array of 3 Scalar numbers

{ fCoordinates.GetCoordinates(dest); }
bool operator==(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& rhs) const
 ------------------- Equality -----------------

Exact equality

bool operator!=(const ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>& rhs) const
Scalar X()
 ------ Individual element access, in various coordinate systems ------

Cartesian X, converting if necessary from internal coordinate system.

{ return fCoordinates.X(); }
Scalar Y()
Cartesian Y, converting if necessary from internal coordinate system.

{ return fCoordinates.Y(); }
Scalar Z()
Cartesian Z, converting if necessary from internal coordinate system.

{ return fCoordinates.Z(); }
Scalar R()
Polar R, converting if necessary from internal coordinate system.

{ return fCoordinates.R(); }
Scalar Theta()
Polar theta, converting if necessary from internal coordinate system.

{ return fCoordinates.Theta(); }
Scalar Phi()
Polar phi, converting if necessary from internal coordinate system.

{ return fCoordinates.Phi(); }
Scalar Eta()
Polar eta, converting if necessary from internal coordinate system.

{ return fCoordinates.Eta(); }
Scalar Rho()
Cylindrical transverse component rho

{ return fCoordinates.Rho(); }
Scalar Mag2()
 ----- Other fundamental properties -----

Magnitute squared ( r^2 in spherical coordinate)

{ return fCoordinates.Mag2();}
Scalar Perp2()
Transverse component squared (rho^2 in cylindrical coordinates.

{ return fCoordinates.Perp2();}
void SetX(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar x)
 It is physically meaningless to speak of the unit vector corresponding
 to a point.
 ------ Setting individual elements present in coordinate system ------

Change X - Cartesian3D coordinates only

{ fCoordinates.SetX(x); }
void SetY(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar y)
Change Y - Cartesian3D coordinates only

{ fCoordinates.SetY(y); }
void SetZ(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar z)
Change Z - Cartesian3D coordinates only

{ fCoordinates.SetZ(z); }
void SetR(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar r)
Change R - Polar3D coordinates only

{ fCoordinates.SetR(r); }
void SetTheta(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar theta)
Change Theta - Polar3D coordinates only

{ fCoordinates.SetTheta(theta); }
void SetPhi(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar phi)
Change Phi - Polar3D or CylindricalEta3D coordinates

{ fCoordinates.SetPhi(phi); }
void SetRho(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar rho)
Change Rho - CylindricalEta3D coordinates only

{ fCoordinates.SetRho(rho); }
void SetEta(ROOT::Math::PositionVector3D<ROOT::Math::Cartesian3D<double>,ROOT::Math::DefaultCoordinateSystemTag>::Scalar eta)
Change Eta - CylindricalEta3D coordinates only

{ fCoordinates.SetEta(eta); }
Scalar Dot( const DisplacementVector3D<OtherCoords,Tag> & v)
 ------ Operations combining two vectors ------
 need to specialize to exclude those with a different tags

Return the scalar (Dot) product of this with a displacement vector in
any coordinate system, but with the same tag

PositionVector3D Cross( const DisplacementVector3D<OtherCoords,Tag> & v)
Return vector (Cross) product of this point with a displacement, as a
point vector in this coordinate system of the first.

PositionVector3D & operator+=(const DisplacementVector3D<OtherCoords,Tag> & v)
 The Dot and Cross products of a pair of point vectors are physically
 meaningless concepts and thus are defined as private methods
 It is physically meaningless to speak of the Unit vector corresponding
 to a point.

Self Addition with a displacement vector.

PositionVector3D & operator-=(const DisplacementVector3D<OtherCoords,Tag> & v)
Self Difference with a displacement vector.

Scalar x()
 Limited backward name compatibility with CLHEP
{ return fCoordinates.X(); }
Scalar y()
{ return fCoordinates.Y(); }
Scalar z()
{ return fCoordinates.Z(); }
Scalar theta()
{ return fCoordinates.Theta(); }
Scalar phi()
{ return fCoordinates.Phi(); }
Scalar eta()
{ return fCoordinates.Eta(); }
Scalar rho()
{ return fCoordinates.Rho(); }
Scalar mag2()
{ return fCoordinates.Mag2(); }
Scalar perp2()
{ return fCoordinates.Perp2(); }
PositionVector3D & operator=( const PositionVector3D<OtherCoords, OtherTag> & )
PositionVector3D & operator=( const DisplacementVector3D<OtherCoords, OtherTag> & )
PositionVector3D & operator+=(const DisplacementVector3D<OtherCoords, OtherTag> & )
PositionVector3D & operator-=(const DisplacementVector3D<OtherCoords, OtherTag> & )

Last update: root/mathcore:$Id: PositionVector3D.h 21503 2007-12-19 17:34:54Z moneta $
Copyright (c) 2005 , LCG ROOT MathLib Team *

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