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Public Types | Public Member Functions | Public Attributes | Private Attributes

Basic3DVector< T > Class Template Reference

#include <newBasic3DVector.h>

List of all members.

Public Types

typedef
Geom::Cylindrical2Cartesian< T > 		Cylindrical
typedef
Geom::Cylindrical2Cartesian< T > 		Cylindrical
typedef Spherical Polar
typedef Spherical Polar
typedef T ScalarType
typedef T ScalarType
typedef
Geom::Spherical2Cartesian< T > 		Spherical
typedef
Geom::Spherical2Cartesian< T > 		Spherical

Public Member Functions

T barePhi () const
T barePhi () const
T bareTheta () const
T bareTheta () const
 Basic3DVector (const Basic3DVector &p)
 Copy constructor from same type. Should not be needed but for gcc bug 12685.
template<typename U >
 Basic3DVector (const Geom::Theta< U > &theta, const Geom::Phi< U > &phi, const T &r)
 Basic3DVector ()
 Basic3DVector (const Basic3DVector &p)
 Copy constructor from same type. Should not be needed but for gcc bug 12685.
 Basic3DVector (const Basic2DVector< T > &p)
 constructor from 2D vector (X and Y from 2D vector, z set to zero)
template<class U >
 Basic3DVector (const Basic3DVector< U > &p)
 Copy constructor and implicit conversion from Basic3DVector of different precision.
 Basic3DVector (const Basic2DVector< T > &p)
 constructor from 2D vector (X and Y from 2D vector, z set to zero)
template<class OtherPoint >
 Basic3DVector (const OtherPoint &p)
template<typename U >
 Basic3DVector (mathSSE::Vec4< U > const &iv)
 Basic3DVector ()
template<class OtherPoint >
 Basic3DVector (const OtherPoint &p)
 Basic3DVector (const T &x, const T &y, const T &z)
 construct from cartesian coordinates
template<typename U >
 Basic3DVector (const Geom::Theta< U > &theta, const Geom::Phi< U > &phi, const T &r)
template<class U >
 Basic3DVector (const Basic3DVector< U > &p)
 Copy constructor and implicit conversion from Basic3DVector of different precision.
template<class U >
 Basic3DVector (mathSSE::Vec4< U > const &iv)
 Basic3DVector (const T &x, const T &y, const T &z)
 construct from cartesian coordinates
Basic3DVector cross (const Basic3DVector &lh) const
 Vector product, or "cross" product, with a vector of same type.
Basic3DVector cross (const Basic3DVector &v) const
 Vector product, or "cross" product, with a vector of same type.
template<class U >
Basic3DVector< typename
PreciseFloatType< T, U >::Type > 		cross (const Basic3DVector< U > &lh) const
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.
template<class U >
PreciseFloatType< T, U >::Type dot (const Basic3DVector< U > &v) const
T dot (const Basic3DVector &rh) const
 Scalar product, or "dot" product, with a vector of same type.
template<class U >
PreciseFloatType< T, U >::Type dot (const Basic3DVector< U > &lh) const
T eta () const
T eta () const
T mag () const
 The vector magnitude. Equivalent to sqrt(vec.mag2())
T mag () const
 The vector magnitude. Equivalent to sqrt(vec.mag2())
T mag2 () const
 The vector magnitude squared. Equivalent to vec.dot(vec)
T mag2 () const
 The vector magnitude squared. Equivalent to vec.dot(vec)
Basic3DVector & operator*= (T t)
 Scaling by a scalar value (multiplication)
Basic3DVector & operator*= (T t)
 Scaling by a scalar value (multiplication)
template<class U >
Basic3DVector & operator+= (const Basic3DVector< U > &p)
template<class U >
Basic3DVector & operator+= (const Basic3DVector< U > &p)
Basic3DVector operator- () const
 Unary minus, returns a vector with components (-x(),-y(),-z())
Basic3DVector operator- () const
 Unary minus, returns a vector with components (-x(),-y(),-z())
template<class U >
Basic3DVector & operator-= (const Basic3DVector< U > &p)
template<class U >
Basic3DVector & operator-= (const Basic3DVector< U > &p)
Basic3DVector & operator/= (T t)
 Scaling by a scalar value (division)
Basic3DVector & operator/= (T t)
 Scaling by a scalar value (division)
bool operator== (const Basic3DVector &rh) const
bool operator== (const Basic3DVector &rh) const
T perp () const
 Magnitude of transverse component.
T perp () const
 Magnitude of transverse component.
T perp2 () const
 Squared magnitude of transverse component.
T perp2 () const
 Squared magnitude of transverse component.
Geom::Phi< T > phi () const
Geom::Phi< T > phi () const
Geom::Theta< T > theta () const
Geom::Theta< T > theta () const
T transverse () const
 Another name for perp()
T transverse () const
 Another name for perp()
Basic3DVector unit () const
Basic3DVector unit () const
T x () const
 Cartesian x coordinate.
T x () const
 Cartesian x coordinate.
Basic2DVector< T > xy () const
Basic2DVector< T > xy () const
T y () const
 Cartesian y coordinate.
T y () const
 Cartesian y coordinate.
T z () const
 Cartesian z coordinate.
T z () const
 Cartesian z coordinate.

Public Attributes

mathSSE::Vec4< T > v

Private Attributes

T theW
T theX
T theY
T theZ

Detailed Description

template<typename T>
class Basic3DVector< T >

Definition at line 24 of file newBasic3DVector.h.

Member Typedef Documentation

template<typename T>
typedef Geom::Cylindrical2Cartesian<T> Basic3DVector< T >::Cylindrical

Definition at line 28 of file newBasic3DVector.h.

template<typename T>
typedef Geom::Cylindrical2Cartesian<T> Basic3DVector< T >::Cylindrical

Definition at line 32 of file oldBasic3DVector.h.

template<typename T>
typedef Spherical Basic3DVector< T >::Polar

Definition at line 30 of file newBasic3DVector.h.

template<typename T>
typedef Spherical Basic3DVector< T >::Polar

Definition at line 34 of file oldBasic3DVector.h.

template<typename T>
typedef T Basic3DVector< T >::ScalarType

Definition at line 31 of file oldBasic3DVector.h.

template<typename T>
typedef T Basic3DVector< T >::ScalarType

Definition at line 27 of file newBasic3DVector.h.

template<typename T>
typedef Geom::Spherical2Cartesian<T> Basic3DVector< T >::Spherical

Definition at line 33 of file oldBasic3DVector.h.

template<typename T>
typedef Geom::Spherical2Cartesian<T> Basic3DVector< T >::Spherical

Definition at line 29 of file newBasic3DVector.h.

Constructor & Destructor Documentation

template<typename T>
Basic3DVector< T >::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 36 of file newBasic3DVector.h.

Referenced by Basic3DVector< long double >::cross(), Basic3DVector< align::Scalar >::cross(), Basic3DVector< align::Scalar >::operator-(), and Basic3DVector< long double >::operator-().

{}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const Basic3DVector< T > &  p) [inline]

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

Definition at line 39 of file newBasic3DVector.h.

                                          : 
    v(p.v) {}
template<typename T>
template<class U >
Basic3DVector< T >::Basic3DVector ( const Basic3DVector< U > &  p) [inline]

Copy constructor and implicit conversion from Basic3DVector of different precision.

Definition at line 44 of file newBasic3DVector.h.

                                             : 
    v(p.v) {}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const Basic2DVector< T > &  p) [inline]

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

Definition at line 49 of file newBasic3DVector.h.

                                             : 
    v(p.x(),p.y(),0) {}
template<typename T>
template<class OtherPoint >
Basic3DVector< T >::Basic3DVector ( const OtherPoint &  p) [inline, explicit]

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 62 of file newBasic3DVector.h.

                                               : 
        v(p.x(),p.y(),p.z()) {}
template<typename T>
template<class U >
Basic3DVector< T >::Basic3DVector ( mathSSE::Vec4< U > const &  iv) [inline]

Definition at line 68 of file newBasic3DVector.h.

: v(iv){}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const T &  x,
const T &  y,
const T &  z 
) [inline]

construct from cartesian coordinates

Definition at line 71 of file newBasic3DVector.h.

                                                     : 
    v(x,y,z){}
template<typename T>
template<typename U >
Basic3DVector< T >::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 79 of file newBasic3DVector.h.

                                                    {
    Polar p( theta.value(), phi.value(), r);
    v.o.theX = p.x(); v.o.theY = p.y(); v.o.theZ = p.z();
  }
template<typename T>
Basic3DVector< T >::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 40 of file oldBasic3DVector.h.

: theX(0), theY(0), theZ(0), theW(0) {}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const Basic3DVector< T > &  p) [inline]

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

Definition at line 43 of file oldBasic3DVector.h.

                                          : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}
template<typename T>
template<class U >
Basic3DVector< T >::Basic3DVector ( const Basic3DVector< U > &  p) [inline]

Copy constructor and implicit conversion from Basic3DVector of different precision.

Definition at line 48 of file oldBasic3DVector.h.

                                             : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const Basic2DVector< T > &  p) [inline]

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

Definition at line 52 of file oldBasic3DVector.h.

                                             : 
    theX(p.x()), theY(p.y()), theZ(0), theW(0) {}
template<typename T>
template<class OtherPoint >
Basic3DVector< T >::Basic3DVector ( const OtherPoint &  p) [inline, explicit]

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 64 of file oldBasic3DVector.h.

                                               : 
    theX(p.x()), theY(p.y()), theZ(p.z()), theW(0) {}
template<typename T>
template<typename U >
Basic3DVector< T >::Basic3DVector ( mathSSE::Vec4< U > const &  iv) [inline]

Definition at line 71 of file oldBasic3DVector.h.

                                          :
    theX(iv.arr[0]), theY(iv.arr[1]), theZ(iv.arr[2]), theW(0) {}
template<typename T>
Basic3DVector< T >::Basic3DVector ( const T &  x,
const T &  y,
const T &  z 
) [inline]

construct from cartesian coordinates

Definition at line 76 of file oldBasic3DVector.h.

                                                     : 
    theX(x), theY(y), theZ(z), theW(0) {}
template<typename T>
template<typename U >
Basic3DVector< T >::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 84 of file oldBasic3DVector.h.

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

Member Function Documentation

template<typename T>
T Basic3DVector< T >::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 newBasic3DVector.h.

Referenced by PV3DBase< long double, PointTag, GlobalTag >::barePhi(), Basic3DVector< align::Scalar >::phi(), and Basic3DVector< long double >::phi().

{return std::atan2(y(),x());}
template<typename T>
T Basic3DVector< T >::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 126 of file oldBasic3DVector.h.

{return std::atan2(y(),x());}
template<typename T>
T Basic3DVector< T >::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 133 of file oldBasic3DVector.h.

{return std::atan2(perp(),z());}
template<typename T>
T Basic3DVector< T >::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 newBasic3DVector.h.

Referenced by PV3DBase< long double, PointTag, GlobalTag >::bareTheta().

{return std::atan2(perp(),z());}
template<typename T>
Basic3DVector Basic3DVector< T >::cross ( const Basic3DVector< T > &  lh) const [inline]

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

Definition at line 196 of file newBasic3DVector.h.

Referenced by Vector3DBase< Scalar, GlobalTag >::cross(), Basic3DVector< align::Scalar >::cross(), PFDisplacedVertexFinder::getTransvDiff(), and CartesianLorentzForce::operator()().

                                                      {
    return ::cross(v,lh.v);
  }
template<typename T>
template<class U >
Basic3DVector<typename PreciseFloatType<T,U>::Type> Basic3DVector< T >::cross ( const Basic3DVector< U > &  lh) 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 208 of file newBasic3DVector.h.

                                           {
    return Basic3DVector<typename PreciseFloatType<T,U>::Type>(*this)
      .cross(Basic3DVector<typename PreciseFloatType<T,U>::Type>(lh));
  }
template<typename T>
Basic3DVector Basic3DVector< T >::cross ( const Basic3DVector< T > &  v) const [inline]

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

Definition at line 209 of file oldBasic3DVector.h.

                                                     {
    return Basic3DVector( y()*v.z() - v.y()*z(), 
                          z()*v.x() - v.z()*x(), 
                          x()*v.y() - v.x()*y());
  }
template<typename T>
template<class U >
Basic3DVector<typename PreciseFloatType<T,U>::Type> Basic3DVector< T >::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 223 of file oldBasic3DVector.h.

                                          {
    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());
  }
template<typename T>
template<class U >
PreciseFloatType<T,U>::Type Basic3DVector< T >::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 204 of file oldBasic3DVector.h.

                                                                           { 
    return x()*v.x() + y()*v.y() + z()*v.z();
  }
template<typename T>
T Basic3DVector< T >::dot ( const Basic3DVector< T > &  rh) const [inline]

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

Definition at line 180 of file newBasic3DVector.h.

Referenced by Vector3DBase< Scalar, GlobalTag >::dot(), Basic3DVector< align::Scalar >::dot(), PFDisplacedVertexFinder::getLongDiff(), PFDisplacedVertexFinder::getLongProj(), Basic3DVector< align::Scalar >::mag2(), operator*(), StraightLinePlaneCrossing::pathLength(), HelixExtrapolatorToLine2Order::pathLength(), and TkRotation< align::Scalar >::rotateAxes().

                                        { 
    return ::dot(v,rh.v);
  }
template<typename T>
template<class U >
PreciseFloatType<T,U>::Type Basic3DVector< T >::dot ( const Basic3DVector< U > &  lh) 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 190 of file newBasic3DVector.h.

                                                                            { 
    return Basic3DVector<typename PreciseFloatType<T,U>::Type>(*this)
      .dot(Basic3DVector<typename PreciseFloatType<T,U>::Type>(lh));
  }
template<typename T>
T Basic3DVector< T >::dot ( const Basic3DVector< T > &  v) const [inline]

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

Definition at line 194 of file oldBasic3DVector.h.

                                       { 
    return x()*v.x() + y()*v.y() + z()*v.z();
  }
template<typename T>
T Basic3DVector< T >::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 141 of file oldBasic3DVector.h.

{ return detailsBasic3DVector::eta(x(),y(),z());} // correct
template<typename T>
T Basic3DVector< T >::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 newBasic3DVector.h.

Referenced by Basic3DVector< long double >::eta(), PV3DBase< long double, PointTag, GlobalTag >::eta(), and Basic3DVector< align::Scalar >::eta().

{ return detailsBasic3DVector::eta(x(),y(),z());} // correct
template<typename T>
T Basic3DVector< T >::mag ( ) const [inline]

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

Definition at line 111 of file oldBasic3DVector.h.

{ return std::sqrt( mag2());}
template<typename T>
T Basic3DVector< T >::mag ( ) const [inline]

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

Definition at line 105 of file newBasic3DVector.h.

Referenced by SurveyInputTrackerFromDB::addSurveyInfo(), PFDisplacedVertexFinder::getLongDiff(), PFDisplacedVertexFinder::getLongProj(), PFDisplacedVertexFinder::getTransvDiff(), HelixBarrelPlaneCrossingByCircle::init(), PV3DBase< long double, PointTag, GlobalTag >::mag(), PathToPlane2Order::operator()(), RKCurvilinearDistance< T, N >::operator()(), HelixArbitraryPlaneCrossing::pathLength(), AnalyticalTrajectoryExtrapolatorToLine::propagateWithHelix(), AnalyticalImpactPointExtrapolator::propagateWithHelix(), and AnalyticalPropagator::propagateWithHelixCrossing().

{ return std::sqrt( mag2());}
template<typename T>
T Basic3DVector< T >::mag2 ( ) const [inline]

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

Definition at line 102 of file newBasic3DVector.h.

Referenced by PFDisplacedVertexFinder::getLongDiff(), Basic3DVector< align::Scalar >::mag(), Basic3DVector< long double >::mag(), PV3DBase< long double, PointTag, GlobalTag >::mag2(), HelixExtrapolatorToLine2Order::pathLength(), TkRotation< align::Scalar >::rotateAxes(), Basic3DVector< align::Scalar >::unit(), and Basic3DVector< long double >::unit().

{ return  ::dot(v,v);}
template<typename T>
T Basic3DVector< T >::mag2 ( ) const [inline]

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

Definition at line 108 of file oldBasic3DVector.h.

{ return  x()*x() + y()*y()+z()*z();}
template<typename T>
Basic3DVector& Basic3DVector< T >::operator*= ( T  t) [inline]

Scaling by a scalar value (multiplication)

Definition at line 177 of file oldBasic3DVector.h.

                                   {
    theX *= t;
    theY *= t;
    theZ *= t;
    return *this;
  }
template<typename T>
Basic3DVector& Basic3DVector< T >::operator*= ( T  t) [inline]

Scaling by a scalar value (multiplication)

Definition at line 167 of file newBasic3DVector.h.

                                   {
    v = t*v;
    return *this;
  }
template<typename T>
template<class U >
Basic3DVector& Basic3DVector< T >::operator+= ( const Basic3DVector< U > &  p) [inline]

Operator += with a Basic3DVector of possibly different precision.

Definition at line 150 of file newBasic3DVector.h.

                                                         {
    v = v + p.v;
    return *this;
  }
template<typename T>
template<class U >
Basic3DVector& Basic3DVector< T >::operator+= ( const Basic3DVector< U > &  p) [inline]

Operator += with a Basic3DVector of possibly different precision.

Definition at line 156 of file oldBasic3DVector.h.

                                                         {
    theX += p.x();
    theY += p.y();
    theZ += p.z();
    return *this;
  }
template<typename T>
Basic3DVector Basic3DVector< T >::operator- ( ) const [inline]

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

Definition at line 164 of file newBasic3DVector.h.

{ return Basic3DVector(-v);}
template<typename T>
Basic3DVector Basic3DVector< T >::operator- ( ) const [inline]

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

Definition at line 174 of file oldBasic3DVector.h.

{ return Basic3DVector(-x(),-y(),-z());}
template<typename T>
template<class U >
Basic3DVector& Basic3DVector< T >::operator-= ( const Basic3DVector< U > &  p) [inline]

Operator -= with a Basic3DVector of possibly different precision.

Definition at line 166 of file oldBasic3DVector.h.

                                                         {
    theX -= p.x();
    theY -= p.y();
    theZ -= p.z();
    return *this;
  }
template<typename T>
template<class U >
Basic3DVector& Basic3DVector< T >::operator-= ( const Basic3DVector< U > &  p) [inline]

Operator -= with a Basic3DVector of possibly different precision.

Definition at line 158 of file newBasic3DVector.h.

                                                         {
    v = v - p.v;
    return *this;
  }
template<typename T>
Basic3DVector& Basic3DVector< T >::operator/= ( T  t) [inline]

Scaling by a scalar value (division)

Definition at line 173 of file newBasic3DVector.h.

                                   {
    t = T(1)/t;
    v = t*v;
    return *this;
  }
template<typename T>
Basic3DVector& Basic3DVector< T >::operator/= ( T  t) [inline]

Scaling by a scalar value (division)

Definition at line 185 of file oldBasic3DVector.h.

                                   {
    t = T(1)/t;
    theX *= t;
    theY *= t;   
    theZ *= t;
    return *this;
  }
template<typename T>
bool Basic3DVector< T >::operator== ( const Basic3DVector< T > &  rh) const [inline]

Definition at line 97 of file newBasic3DVector.h.

                                                 {
    return v==rh.v;
  }
template<typename T>
bool Basic3DVector< T >::operator== ( const Basic3DVector< T > &  rh) const [inline]

Definition at line 103 of file oldBasic3DVector.h.

                                                 {
    return x()==rh.x() && y()==rh.y() && z()==rh.z();
  }
template<typename T>
T Basic3DVector< T >::perp ( ) const [inline]

Magnitude of transverse component.

Definition at line 117 of file oldBasic3DVector.h.

{ return std::sqrt( perp2());}
template<typename T>
T Basic3DVector< T >::perp ( ) const [inline]

Magnitude of transverse component.

Definition at line 111 of file newBasic3DVector.h.

Referenced by Basic3DVector< long double >::bareTheta(), Basic3DVector< align::Scalar >::bareTheta(), HelixBarrelPlaneCrossingByCircle::init(), PV3DBase< long double, PointTag, GlobalTag >::perp(), Basic3DVector< long double >::theta(), Basic3DVector< align::Scalar >::theta(), Basic3DVector< align::Scalar >::transverse(), and Basic3DVector< long double >::transverse().

{ return std::sqrt( perp2());}
template<typename T>
T Basic3DVector< T >::perp2 ( ) const [inline]

Squared magnitude of transverse component.

Definition at line 108 of file newBasic3DVector.h.

Referenced by Basic3DVector< long double >::perp(), Basic3DVector< align::Scalar >::perp(), and PV3DBase< long double, PointTag, GlobalTag >::perp2().

{ return x()*x() + y()*y();}
template<typename T>
T Basic3DVector< T >::perp2 ( ) const [inline]

Squared magnitude of transverse component.

Definition at line 114 of file oldBasic3DVector.h.

{ return x()*x() + y()*y();}
template<typename T>
Geom::Phi<T> Basic3DVector< T >::phi ( ) const [inline]

Definition at line 127 of file oldBasic3DVector.h.

{return Geom::Phi<T>(barePhi());}
template<typename T>
Geom::Phi<T> Basic3DVector< T >::phi ( ) const [inline]

Definition at line 121 of file newBasic3DVector.h.

Referenced by PV3DBase< long double, PointTag, GlobalTag >::phi(), AlCaHOCalibProducer::produce(), and TkRotation< align::Scalar >::TkRotation().

{return Geom::Phi<T>(barePhi());}
template<typename T>
Geom::Theta<T> Basic3DVector< T >::theta ( ) const [inline]

Definition at line 134 of file oldBasic3DVector.h.

{return Geom::Theta<T>(std::atan2(perp(),z()));}
template<typename T>
Geom::Theta<T> Basic3DVector< T >::theta ( ) const [inline]

Definition at line 128 of file newBasic3DVector.h.

Referenced by AlCaHOCalibProducer::produce(), PV3DBase< long double, PointTag, GlobalTag >::theta(), and TkRotation< align::Scalar >::TkRotation().

{return Geom::Theta<T>(std::atan2(perp(),z()));}
template<typename T>
T Basic3DVector< T >::transverse ( ) const [inline]

Another name for perp()

Definition at line 120 of file oldBasic3DVector.h.

{ return perp();}
template<typename T>
T Basic3DVector< T >::transverse ( ) const [inline]

Another name for perp()

Definition at line 114 of file newBasic3DVector.h.

Referenced by PV3DBase< long double, PointTag, GlobalTag >::transverse().

{ return perp();}
template<typename T>
Basic3DVector Basic3DVector< T >::unit ( ) const [inline]

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

Definition at line 146 of file oldBasic3DVector.h.

                             {
    T my_mag = mag2();
    if (my_mag==0) return *this;
    my_mag = T(1)/std::sqrt(my_mag);
    return *this * my_mag;
  }
template<typename T>
Basic3DVector Basic3DVector< T >::unit ( ) const [inline]

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

Definition at line 140 of file newBasic3DVector.h.

Referenced by PathToPlane2Order::operator()(), and HelixBarrelPlaneCrossingByCircle::position().

                             {
    T my_mag = mag2();
    if (my_mag==0) return *this;
    my_mag = T(1)/std::sqrt(my_mag);
    return *this * my_mag;
  }
template<typename T>
T Basic3DVector< T >::x ( ) const [inline]

Cartesian x coordinate.

Definition at line 86 of file newBasic3DVector.h.

Referenced by LinearEquation3< T >::Array3< U >::Array3(), Basic3DVector< align::Scalar >::barePhi(), Basic3DVector< long double >::barePhi(), HelixBarrelPlaneCrossingByCircle::chooseSolution(), TSCPBuilderNoMaterial::createFTSatTransverseImpactPointCharged(), Basic3DVector< long double >::cross(), Basic3DVector< align::Scalar >::cross(), HelixArbitraryPlaneCrossing::direction(), HelixBarrelPlaneCrossingByCircle::direction(), HelixArbitraryPlaneCrossing2Order::direction(), HelixExtrapolatorToLine2Order::directionInDouble(), Basic3DVector< long double >::dot(), Basic3DVector< align::Scalar >::dot(), Basic3DVector< long double >::eta(), Basic3DVector< align::Scalar >::eta(), IterativeHelixExtrapolatorToLine::genericPathLength(), HelixArbitraryPlaneCrossing::HelixArbitraryPlaneCrossing(), HelixArbitraryPlaneCrossing2Order::HelixArbitraryPlaneCrossing2Order(), HelixExtrapolatorToLine2Order::HelixExtrapolatorToLine2Order(), HelixForwardPlaneCrossing::HelixForwardPlaneCrossing(), HelixBarrelPlaneCrossingByCircle::init(), IterativeHelixExtrapolatorToLine::IterativeHelixExtrapolatorToLine(), Basic3DVector< long double >::mag2(), Basic3DVector< align::Scalar >::mag2(), ConformalMappingFit::MappedPoint< T >::MappedPoint(), ThirdHitPredictionFromInvParabola::MappedPoint< double >::MappedPoint(), ThirdHitPredictionFromInvLine::MappedPoint< T >::MappedPoint(), reco::PFDisplacedVertexSeed::mergeWith(), CurvilinearState::momentum(), TkRotation< align::Scalar >::multiplyInverse(), HelixArbitraryPlaneCrossing::notAtSurface(), PathToPlane2Order::operator()(), operator*(), TkRotation< align::Scalar >::operator*(), operator+(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-(), Basic3DVector< long double >::operator-(), operator-(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), LinearEquation3< T >::Array3< U >::operator=(), Basic3DVector< align::Scalar >::operator==(), Basic3DVector< long double >::operator==(), TrackAssociatorByChi2::parametersAtClosestApproach(), HelixArbitraryPlaneCrossing::pathLength(), HelixExtrapolatorToLine2Order::pathLength(), HelixBarrelPlaneCrossingByCircle::pathLength(), Basic3DVector< align::Scalar >::perp2(), Basic3DVector< long double >::perp2(), HelixArbitraryPlaneCrossing::position(), HelixArbitraryPlaneCrossing2Order::position(), HelixBarrelPlaneCrossingByCircle::position(), HelixExtrapolatorToLine2Order::positionInDouble(), TrackKinematicStatePropagator::propagateToTheTransversePCACharged(), CartesianStateAdaptor::rkstate(), TkRotation< align::Scalar >::rotateAxes(), VertexDistanceXY::signedDistance(), VertexDistance3D::signedDistance(), ThirdHitPredictionFromInvParabola::MappedPoint< double >::unmap(), ThirdHitPredictionFromInvLine::MappedPoint< T >::unmap(), ConformalMappingFit::MappedPoint< T >::unmap(), reco::PFDisplacedVertexSeed::updateSeedPoint(), and PV3DBase< long double, PointTag, GlobalTag >::x().

{ return v.o.theX;}
template<typename T>
T Basic3DVector< T >::x ( ) const [inline]

Cartesian x coordinate.

Definition at line 91 of file oldBasic3DVector.h.

{ return theX;}
template<typename T>
Basic2DVector<T> Basic3DVector< T >::xy ( ) const [inline]

Definition at line 94 of file newBasic3DVector.h.

{ return v.xy();}
template<typename T>
Basic2DVector<T> Basic3DVector< T >::xy ( ) const [inline]

Definition at line 99 of file oldBasic3DVector.h.

{ return  Basic2DVector<T>(theX,theY);}
template<typename T>
T Basic3DVector< T >::y ( ) const [inline]

Cartesian y coordinate.

Definition at line 94 of file oldBasic3DVector.h.

{ return theY;}
template<typename T>
T Basic3DVector< T >::y ( ) const [inline]

Cartesian y coordinate.

Definition at line 89 of file newBasic3DVector.h.

Referenced by LinearEquation3< T >::Array3< U >::Array3(), Basic3DVector< long double >::barePhi(), Basic3DVector< align::Scalar >::barePhi(), HelixBarrelPlaneCrossingByCircle::chooseSolution(), TSCPBuilderNoMaterial::createFTSatTransverseImpactPointCharged(), Basic3DVector< long double >::cross(), Basic3DVector< align::Scalar >::cross(), HelixArbitraryPlaneCrossing::direction(), HelixBarrelPlaneCrossingByCircle::direction(), HelixArbitraryPlaneCrossing2Order::direction(), HelixExtrapolatorToLine2Order::directionInDouble(), Basic3DVector< long double >::dot(), Basic3DVector< align::Scalar >::dot(), Basic3DVector< long double >::eta(), Basic3DVector< align::Scalar >::eta(), IterativeHelixExtrapolatorToLine::genericPathLength(), HelixArbitraryPlaneCrossing::HelixArbitraryPlaneCrossing(), HelixArbitraryPlaneCrossing2Order::HelixArbitraryPlaneCrossing2Order(), HelixExtrapolatorToLine2Order::HelixExtrapolatorToLine2Order(), HelixForwardPlaneCrossing::HelixForwardPlaneCrossing(), HelixBarrelPlaneCrossingByCircle::init(), IterativeHelixExtrapolatorToLine::IterativeHelixExtrapolatorToLine(), Basic3DVector< long double >::mag2(), Basic3DVector< align::Scalar >::mag2(), ConformalMappingFit::MappedPoint< T >::MappedPoint(), ThirdHitPredictionFromInvParabola::MappedPoint< double >::MappedPoint(), ThirdHitPredictionFromInvLine::MappedPoint< T >::MappedPoint(), reco::PFDisplacedVertexSeed::mergeWith(), CurvilinearState::momentum(), TkRotation< align::Scalar >::multiplyInverse(), HelixArbitraryPlaneCrossing::notAtSurface(), PathToPlane2Order::operator()(), operator*(), TkRotation< align::Scalar >::operator*(), operator+(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-(), Basic3DVector< long double >::operator-(), operator-(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), LinearEquation3< T >::Array3< U >::operator=(), Basic3DVector< align::Scalar >::operator==(), Basic3DVector< long double >::operator==(), TrackAssociatorByChi2::parametersAtClosestApproach(), HelixArbitraryPlaneCrossing::pathLength(), HelixExtrapolatorToLine2Order::pathLength(), HelixBarrelPlaneCrossingByCircle::pathLength(), Basic3DVector< align::Scalar >::perp2(), Basic3DVector< long double >::perp2(), HelixArbitraryPlaneCrossing::position(), HelixArbitraryPlaneCrossing2Order::position(), HelixBarrelPlaneCrossingByCircle::position(), HelixExtrapolatorToLine2Order::positionInDouble(), TrackKinematicStatePropagator::propagateToTheTransversePCACharged(), CartesianStateAdaptor::rkstate(), TkRotation< align::Scalar >::rotateAxes(), VertexDistanceXY::signedDistance(), VertexDistance3D::signedDistance(), ThirdHitPredictionFromInvParabola::MappedPoint< double >::unmap(), ThirdHitPredictionFromInvLine::MappedPoint< T >::unmap(), ConformalMappingFit::MappedPoint< T >::unmap(), reco::PFDisplacedVertexSeed::updateSeedPoint(), and PV3DBase< long double, PointTag, GlobalTag >::y().

{ return v.o.theY;}
template<typename T>
T Basic3DVector< T >::z ( ) const [inline]

Cartesian z coordinate.

Definition at line 92 of file newBasic3DVector.h.

Referenced by LinearEquation3< T >::Array3< U >::Array3(), Basic3DVector< long double >::bareTheta(), Basic3DVector< align::Scalar >::bareTheta(), CurvilinearState::charge(), TSCPBuilderNoMaterial::createFTSatTransverseImpactPointCharged(), Basic3DVector< long double >::cross(), Basic3DVector< align::Scalar >::cross(), HelixArbitraryPlaneCrossing::direction(), HelixBarrelPlaneCrossingByCircle::direction(), HelixArbitraryPlaneCrossing2Order::direction(), HelixExtrapolatorToLine2Order::directionInDouble(), Basic3DVector< long double >::dot(), Basic3DVector< align::Scalar >::dot(), Basic3DVector< long double >::eta(), Basic3DVector< align::Scalar >::eta(), IterativeHelixExtrapolatorToLine::genericPathLength(), HelixArbitraryPlaneCrossing::HelixArbitraryPlaneCrossing(), HelixArbitraryPlaneCrossing2Order::HelixArbitraryPlaneCrossing2Order(), HelixExtrapolatorToLine2Order::HelixExtrapolatorToLine2Order(), HelixForwardPlaneCrossing::HelixForwardPlaneCrossing(), HelixBarrelPlaneCrossingByCircle::init(), IterativeHelixExtrapolatorToLine::IterativeHelixExtrapolatorToLine(), Basic3DVector< long double >::mag2(), Basic3DVector< align::Scalar >::mag2(), reco::PFDisplacedVertexSeed::mergeWith(), CurvilinearState::momentum(), TkRotation< align::Scalar >::multiplyInverse(), HelixArbitraryPlaneCrossing::notAtSurface(), PathToPlane2Order::operator()(), operator*(), TkRotation< align::Scalar >::operator*(), operator+(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-(), Basic3DVector< long double >::operator-(), operator-(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), LinearEquation3< T >::Array3< U >::operator=(), Basic3DVector< align::Scalar >::operator==(), Basic3DVector< long double >::operator==(), TrackAssociatorByChi2::parametersAtClosestApproach(), HelixForwardPlaneCrossing::pathLength(), HelixArbitraryPlaneCrossing::pathLength(), HelixArbitraryPlaneCrossing::position(), HelixArbitraryPlaneCrossing2Order::position(), HelixBarrelPlaneCrossingByCircle::position(), HelixExtrapolatorToLine2Order::positionInDouble(), TrackKinematicStatePropagator::propagateToTheTransversePCACharged(), CartesianStateAdaptor::rkstate(), TkRotation< align::Scalar >::rotateAxes(), VertexDistance3D::signedDistance(), Basic3DVector< long double >::theta(), Basic3DVector< align::Scalar >::theta(), reco::PFDisplacedVertexSeed::updateSeedPoint(), and PV3DBase< long double, PointTag, GlobalTag >::z().

{ return v.o.theZ;}
template<typename T>
T Basic3DVector< T >::z ( ) const [inline]

Cartesian z coordinate.

Definition at line 97 of file oldBasic3DVector.h.

{ return theZ;}

Member Data Documentation

template<typename T>
T Basic3DVector< T >::theW [private]

Definition at line 233 of file oldBasic3DVector.h.

template<typename T>
T Basic3DVector< T >::theX [private]

Definition at line 230 of file oldBasic3DVector.h.

Referenced by Basic3DVector< align::Scalar >::Basic3DVector(), Basic3DVector< long double >::Basic3DVector(), Basic3DVector< align::Scalar >::operator*=(), Basic3DVector< long double >::operator*=(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), Basic3DVector< long double >::operator/=(), Basic3DVector< align::Scalar >::operator/=(), Basic3DVector< long double >::x(), Basic3DVector< align::Scalar >::x(), Basic3DVector< long double >::xy(), and Basic3DVector< align::Scalar >::xy().

template<typename T>
T Basic3DVector< T >::theY [private]

Definition at line 231 of file oldBasic3DVector.h.

Referenced by Basic3DVector< align::Scalar >::Basic3DVector(), Basic3DVector< long double >::Basic3DVector(), Basic3DVector< align::Scalar >::operator*=(), Basic3DVector< long double >::operator*=(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), Basic3DVector< long double >::operator/=(), Basic3DVector< align::Scalar >::operator/=(), Basic3DVector< long double >::xy(), Basic3DVector< align::Scalar >::xy(), Basic3DVector< long double >::y(), and Basic3DVector< align::Scalar >::y().

template<typename T>
T Basic3DVector< T >::theZ [private]

Definition at line 232 of file oldBasic3DVector.h.

Referenced by Basic3DVector< align::Scalar >::Basic3DVector(), Basic3DVector< long double >::Basic3DVector(), Basic3DVector< align::Scalar >::operator*=(), Basic3DVector< long double >::operator*=(), Basic3DVector< long double >::operator+=(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< long double >::operator-=(), Basic3DVector< long double >::operator/=(), Basic3DVector< align::Scalar >::operator/=(), Basic3DVector< long double >::z(), and Basic3DVector< align::Scalar >::z().

template<typename T>
mathSSE::Vec4<T> Basic3DVector< T >::v

Definition at line 214 of file newBasic3DVector.h.

Referenced by Basic3DVector< align::Scalar >::Basic3DVector(), Basic3DVector< align::Scalar >::cross(), Basic3DVector< align::Scalar >::dot(), LinearGridInterpolator3D::interpolate(), Basic3DVector< align::Scalar >::mag2(), TkRotation< align::Scalar >::multiplyInverse(), operator*(), TkRotation< align::Scalar >::operator*(), Basic3DVector< align::Scalar >::operator*=(), operator+(), Basic3DVector< align::Scalar >::operator+=(), Basic3DVector< align::Scalar >::operator-(), operator-(), Basic3DVector< align::Scalar >::operator-=(), Basic3DVector< align::Scalar >::operator/=(), Basic3DVector< align::Scalar >::operator==(), Basic3DVector< align::Scalar >::x(), Basic3DVector< align::Scalar >::xy(), Basic3DVector< align::Scalar >::y(), and Basic3DVector< align::Scalar >::z().

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