Basic3DVector< long double > Class Template Reference

#include <Basic3DVectorLD.h>

Public Types
typedef Geom::Cylindrical2Cartesian< T >	Cylindrical
typedef Basic3DVector< T >	MathVector
typedef Spherical	Polar
typedef T	ScalarType
typedef Geom::Spherical2Cartesian< T >	Spherical
typedef long double	T

Public Member Functions
T	barePhi () const
T	bareTheta () const
	Basic3DVector ()
	Basic3DVector (const Basic3DVector &p)
	Copy constructor from same type. Should not be needed but for gcc bug 12685. More...
template<class U >
	Basic3DVector (const Basic3DVector< U > &p)
	Copy constructor and implicit conversion from Basic3DVector of different precision. More...
	Basic3DVector (const Basic2DVector< T > &p)
	constructor from 2D vector (X and Y from 2D vector, z set to zero) More...
template<class OtherPoint >
	Basic3DVector (const OtherPoint &p)
	Basic3DVector (const T &x, const T &y, const T &z)
	construct from cartesian coordinates More...
template<typename U >
	Basic3DVector (const Geom::Theta< U > &theta, const Geom::Phi< U > &phi, const T &r)
Basic3DVector	cross (const Basic3DVector &v) const
	Vector product, or "cross" product, with a vector of same type. More...
template<class U >
Basic3DVector< typename PreciseFloatType< T, U >::Type >	cross (const Basic3DVector< U > &v) const
T	dot (const Basic3DVector &v) const
	Scalar product, or "dot" product, with a vector of same type. More...
template<class U >
PreciseFloatType< T, U >::Type	dot (const Basic3DVector< U > &v) const
T	eta () const
T	mag () const
	The vector magnitude. Equivalent to sqrt(vec.mag2()) More...
T	mag2 () const
	The vector magnitude squared. Equivalent to vec.dot(vec) More...
Basic3DVector &	operator*= (T t)
	Scaling by a scalar value (multiplication) More...
template<class U >
Basic3DVector &	operator+= (const Basic3DVector< U > &p)
Basic3DVector	operator- () const
	Unary minus, returns a vector with components (-x(),-y(),-z()) More...
template<class U >
Basic3DVector &	operator-= (const Basic3DVector< U > &p)
Basic3DVector &	operator/= (T t)
	Scaling by a scalar value (division) More...
bool	operator== (const Basic3DVector &rh) const
T	perp () const
	Magnitude of transverse component. More...
T	perp2 () const
	Squared magnitude of transverse component. More...
Geom::Phi< T >	phi () const
Geom::Theta< T >	theta () const
T	transverse () const
	Another name for perp() More...
Basic3DVector	unit () const
T	x () const
	Cartesian x coordinate. More...
Basic2DVector< T >	xy () const
T	y () const
	Cartesian y coordinate. More...
T	z () const
	Cartesian z coordinate. More...

Private Attributes
T	theW
T	theX
T	theY
T	theZ

Detailed Description

template<>
class Basic3DVector< long double >

Definition at line 11 of file Basic3DVectorLD.h.

Member Typedef Documentation

typedef Geom::Cylindrical2Cartesian<T> Basic3DVector< long double >::Cylindrical

Definition at line 17 of file Basic3DVectorLD.h.

typedef Basic3DVector<T> Basic3DVector< long double >::MathVector

Definition at line 21 of file Basic3DVectorLD.h.

typedef Spherical Basic3DVector< long double >::Polar

Definition at line 19 of file Basic3DVectorLD.h.

typedef T Basic3DVector< long double >::ScalarType

Definition at line 16 of file Basic3DVectorLD.h.

typedef Geom::Spherical2Cartesian<T> Basic3DVector< long double >::Spherical

Definition at line 18 of file Basic3DVectorLD.h.

typedef long double Basic3DVector< long double >::T

Definition at line 15 of file Basic3DVectorLD.h.

Constructor & Destructor Documentation

Basic3DVector< long double >::Basic3DVector ( )

inline

default constructor uses default constructor of T to initialize the components. For built-in floating-point types this means initialization to zero??? (force init to 0)

Definition at line 27 of file Basic3DVectorLD.h.

: theX(0), theY(0), theZ(0), theW(0) {}

Basic3DVector< long double >::Basic3DVector ( const Basic3DVector< long double > &  p )

inline

Copy constructor from same type. Should not be needed but for gcc bug 12685.

Definition at line 30 of file Basic3DVectorLD.h.

                                          : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}

template<class U >

Basic3DVector< long double >::Basic3DVector ( const Basic3DVector< U > &  p )

inline

Copy constructor and implicit conversion from Basic3DVector of different precision.

Definition at line 35 of file Basic3DVectorLD.h.

                                             : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}

Basic3DVector< long double >::Basic3DVector ( const Basic2DVector< T > &  p )

inline

constructor from 2D vector (X and Y from 2D vector, z set to zero)

Definition at line 39 of file Basic3DVectorLD.h.

                                             : 
    theX(p.x()), theY(p.y()), theZ(0), theW(0) {}

template<class OtherPoint >

Basic3DVector< long double >::Basic3DVector ( const OtherPoint &  p )

inlineexplicit

Explicit constructor from other (possibly unrelated) vector classes The only constraint on the argument type is that it has methods x(), y() and z(), and that these methods return a type convertible to T. Examples of use are
construction from a Basic3DVector with different precision
construction from a Hep3Vector
construction from a coordinate system converter

Definition at line 51 of file Basic3DVectorLD.h.

                                               : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}

Basic3DVector< long double >::Basic3DVector ( const T &  x, const T &  y, const T &  z  )

inline

construct from cartesian coordinates

Definition at line 70 of file Basic3DVectorLD.h.

                                                     : 
    theX(x), theY(y), theZ(z), theW(0) {}

template<typename U >

Basic3DVector< long double >::Basic3DVector ( const Geom::Theta< U > &  theta, const Geom::Phi< U > &  phi, const T &  r  )

inline

Deprecated construct from polar coordinates, use
Basic3DVector<T>( Basic3DVector<T>::Polar( theta, phi, r)) instead.

Definition at line 78 of file Basic3DVectorLD.h.

References AlCaHLTBitMon_ParallelJobs::p, alignCSCRings::r, Geom::Theta< T >::value(), and Geom::Phi< T >::value().

                                            {
    Polar p( theta.value(), phi.value(), r);
    theX = p.x(); theY = p.y(); theZ = p.z();
  }

Member Function Documentation

T Basic3DVector< long double >::barePhi ( ) const

inline

Azimuthal angle. The value is returned in radians, in the range (-pi,pi]. Same precision as the system atan2(x,y) function. The return type is Geom::Phi<T>, see it's documentation.

Definition at line 120 of file Basic3DVectorLD.h.

{return std::atan2(y(),x());}

T Basic3DVector< long double >::bareTheta ( ) const

inline

Polar angle. The value is returned in radians, in the range [0,pi] Same precision as the system atan2(x,y) function. The return type is Geom::Phi<T>, see it's documentation.

Definition at line 127 of file Basic3DVectorLD.h.

{return std::atan2(perp(),z());}

Basic3DVector Basic3DVector< long double >::cross ( const Basic3DVector< long double > &  v ) const

inline

Vector product, or "cross" product, with a vector of same type.

Definition at line 205 of file Basic3DVectorLD.h.

References Basic3DVector< T >::Basic3DVector(), Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

                                                     {
    return Basic3DVector( y()*v.z() - v.y()*z(), 
              z()*v.x() - v.z()*x(), 
              x()*v.y() - v.x()*y());
  }

template<class U >

Basic3DVector<typename PreciseFloatType<T,U>::Type> Basic3DVector< long double >::cross ( const Basic3DVector< U > &  v ) const

inline

Vector (or cross) product with a vector of different precision. The product is computed without loss of precision. The type of the returned vector is the more precise of the types of the two vectors.

Definition at line 219 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

                                          {
    return Basic3DVector<typename PreciseFloatType<T,U>::Type>( y()*v.z() - v.y()*z(), 
                                z()*v.x() - v.z()*x(), 
                                x()*v.y() - v.x()*y());
  }

T Basic3DVector< long double >::dot ( const Basic3DVector< long double > &  v ) const

inline

Scalar product, or "dot" product, with a vector of same type.

Definition at line 190 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

Referenced by operator*().

                                       { 
    return x()*v.x() + y()*v.y() + z()*v.z();
  }

template<class U >

PreciseFloatType<T,U>::Type Basic3DVector< long double >::dot ( const Basic3DVector< U > &  v ) const

inline

Scalar (or dot) product with a vector of different precision. The product is computed without loss of precision. The type of the returned scalar is the more precise of the scalar types of the two vectors.

Definition at line 200 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

                                                                           { 
    return x()*v.x() + y()*v.y() + z()*v.z();
  }

T Basic3DVector< long double >::eta ( ) const

inline

Pseudorapidity. Does not check for zero transverse component; in this case the behavior is as for divide-by zero, i.e. system-dependent.

Definition at line 135 of file Basic3DVectorLD.h.

Referenced by Particle.Particle::__str__(), Jet.Jet::jetID(), and Jet.Jet::puJetId().

{ return detailsBasic3DVector::eta(x(),y(),z());} // correct 

T Basic3DVector< long double >::mag ( ) const

inline

The vector magnitude. Equivalent to sqrt(vec.mag2())

Definition at line 105 of file Basic3DVectorLD.h.

References Basic3DVector< T >::mag2(), and mathSSE::sqrt().

{ return std::sqrt( mag2());}

T Basic3DVector< long double >::mag2 ( ) const

inline

The vector magnitude squared. Equivalent to vec.dot(vec)

Definition at line 102 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

{ return  x()*x() + y()*y()+z()*z();}

Basic3DVector& Basic3DVector< long double >::operator*= ( T  t )

inline

Scaling by a scalar value (multiplication)

Definition at line 173 of file Basic3DVectorLD.h.

References lumiQTWidget::t, Basic3DVector< T >::theX, Basic3DVector< T >::theY, and Basic3DVector< T >::theZ.

                                   {
    theX *= t;
    theY *= t;
    theZ *= t;
    return *this;
  } 

template<class U >

Basic3DVector& Basic3DVector< long double >::operator+= ( const Basic3DVector< U > &  p )

inline

Operator += with a Basic3DVector of possibly different precision.

Definition at line 152 of file Basic3DVectorLD.h.

                                                         {
    theX += p.x();
    theY += p.y();
    theZ += p.z();
    return *this;
  } 

Basic3DVector Basic3DVector< long double >::operator- ( ) const

inline

Unary minus, returns a vector with components (-x(),-y(),-z())

Definition at line 170 of file Basic3DVectorLD.h.

{ return Basic3DVector(-x(),-y(),-z());}

template<class U >

Basic3DVector& Basic3DVector< long double >::operator-= ( const Basic3DVector< U > &  p )

inline

Operator -= with a Basic3DVector of possibly different precision.

Definition at line 162 of file Basic3DVectorLD.h.

                                                         {
    theX -= p.x();
    theY -= p.y();
    theZ -= p.z();
    return *this;
  } 

Basic3DVector& Basic3DVector< long double >::operator/= ( T  t )

inline

Scaling by a scalar value (division)

Definition at line 181 of file Basic3DVectorLD.h.

References lumiQTWidget::t.

                                   {
    t = T(1)/t;
    theX *= t;
    theY *= t;   
    theZ *= t;
    return *this;
  } 

bool Basic3DVector< long double >::operator== ( const Basic3DVector< long double > &  rh ) const

inline

Definition at line 97 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), Basic3DVector< T >::y(), and Basic3DVector< T >::z().

                                                 {
    return x()==rh.x() && y()==rh.y() && z()==rh.z();
  }

T Basic3DVector< long double >::perp ( ) const

inline

Magnitude of transverse component.

Definition at line 111 of file Basic3DVectorLD.h.

References Basic3DVector< T >::perp2(), and mathSSE::sqrt().

{ return std::sqrt( perp2());}

T Basic3DVector< long double >::perp2 ( ) const

inline

Squared magnitude of transverse component.

Definition at line 108 of file Basic3DVectorLD.h.

References Basic3DVector< T >::x(), and Basic3DVector< T >::y().

{ return x()*x() + y()*y();}

Geom::Phi<T> Basic3DVector< long double >::phi ( ) const

inline

Definition at line 121 of file Basic3DVectorLD.h.

References Basic3DVector< T >::barePhi().

Referenced by Particle.Particle::__str__().

{return Geom::Phi<T>(barePhi());}

Geom::Theta<T> Basic3DVector< long double >::theta ( ) const

inline

Definition at line 128 of file Basic3DVectorLD.h.

References Basic3DVector< T >::perp(), and Basic3DVector< T >::z().

Referenced by Tau.Tau::zImpact().

{return Geom::Theta<T>(std::atan2(perp(),z()));}

T Basic3DVector< long double >::transverse ( ) const

inline

Another name for perp()

Definition at line 114 of file Basic3DVectorLD.h.

References Basic3DVector< T >::perp().

{ return perp();}

Basic3DVector Basic3DVector< long double >::unit ( ) const

inline

Unit vector parallel to this. If mag() is zero, a zero vector is returned.

Definition at line 141 of file Basic3DVectorLD.h.

References Basic3DVector< T >::mag2().

                             {
    T my_mag = mag2();
    if (my_mag==0) return *this;
    my_mag = T(1)/std::sqrt(my_mag);
    Basic3DVector ret(*this);
    return  ret*=my_mag;
  }

T Basic3DVector< long double >::x ( ) const

inline

Cartesian x coordinate.

Definition at line 85 of file Basic3DVectorLD.h.

References Basic3DVector< T >::theX.

Referenced by svgfig.Curve.Sample::__repr__(), svgfig.Ellipse::__repr__(), Vispa.Gui.WidgetContainer.WidgetContainer::autosize(), Vispa.Gui.VispaWidget.VispaWidget::boundingRect(), operator*(), operator+(), operator-(), geometryXMLparser.Alignable::pos(), and Vispa.Gui.ConnectableWidget.ConnectableWidget::positionizeMenuWidget().

{ return theX;}

Basic2DVector<T> Basic3DVector< long double >::xy ( ) const

inline

Definition at line 93 of file Basic3DVectorLD.h.

Referenced by geometryXMLparser.Alignable::covariance().

{ return  Basic2DVector<T>(theX,theY);}

T Basic3DVector< long double >::y ( ) const

inline

Cartesian y coordinate.

Definition at line 88 of file Basic3DVectorLD.h.

References Basic3DVector< T >::theY.

Referenced by svgfig.Ellipse::__repr__(), Vispa.Gui.WidgetContainer.WidgetContainer::autosize(), Vispa.Gui.VispaWidget.VispaWidget::boundingRect(), operator*(), operator+(), operator-(), geometryXMLparser.Alignable::pos(), and Vispa.Gui.ConnectableWidget.ConnectableWidget::positionizeMenuWidget().

{ return theY;}

T Basic3DVector< long double >::z ( ) const

inline

Cartesian z coordinate.

Definition at line 91 of file Basic3DVectorLD.h.

References Basic3DVector< T >::theZ.

Referenced by operator*(), operator+(), operator-(), and geometryXMLparser.Alignable::pos().

{ return theZ;}

Member Data Documentation

T Basic3DVector< long double >::theW

private

Definition at line 229 of file Basic3DVectorLD.h.

T Basic3DVector< long double >::theX

private

Definition at line 226 of file Basic3DVectorLD.h.

T Basic3DVector< long double >::theY

private

Definition at line 227 of file Basic3DVectorLD.h.

T Basic3DVector< long double >::theZ

private

Definition at line 228 of file Basic3DVectorLD.h.