SZLine Class Reference

A line in the sz space. More...

#include <SZLine.h>

Public Member Functions
	SZLine ()
	Default constructor for ROOT compatibility.
	SZLine (double tanLambda, double z0)
	Constructor from slope and intercept in the sz space.
	SZLine (const SZParameters &szParameters)
	Constructor from the sz parameters.
double	tanLambda () const
	Getter for the tan lambda parameter.
double	slope () const
	Getter for the slope in the sz space which is equivalent to tan lambda.
double	inverseSlope () const
	Returns the slope over the second coordinate.
double	theta () const
	Getter for the theta dip angle.
void	setTanLambda (double tanLambda)
	Getter for the tan lambda parameter.
double	z0 () const
	Getter for the z0 parameter.
double	intercept () const
	Getter for the intercept in the sz space which is equivalent to z0.
void	setZ0 (double z0)
	Getter for the z0 parameter.
SZParameters	szParameters () const
	Getter for the sz parameters.
double	zero () const
	Returns the the two dimensional arc length s where the z coordinate approaches zero.
double	map (double s) const
	Maps the two dimensional arc length s to z.
double	operator() (double s) const
	Maps the two dimensional arc length s to z.
double	inverseMap (double z) const
	Maps the z coordinate to the two dimensional arc length s.
void	invalidate ()
	Sets the parameters to a invalid representation.
bool	isInvalid () const
	Indicates if the line parameters do not represent a valid line.
void	reverse ()
	Reverse the arc length direction in place.
SZLine	reversed () const
	Returns a copy of the line with reversed the arc length direction.
double	distance (const Vector2D &szPoint) const
	Calculates the signed distance of the point to the line.
double	distance (double s, double z) const
	Calculates the signed distance of the point given by its to coordinates to the line.
Vector2D	intersection (const SZLine &szLine) const
	Calculates the intersection point of two line. Infinity for parallels.
void	passiveMoveBy (const Vector2D &bySZ)
	Passively move the coordinate system in place by the given sz vector.
void	passiveMoveBy (double s, double z)
	Passively move the coordinate system in place by the given s and z coordinates.
SZLine	passiveMovedBy (const Vector2D &bySZ) const
	Return a line passively move by the given vector as a copy.
SZLine	passiveMovedBy (double s, double z) const
	Return a line passively move by the given s and z coordinates as a copy.
SZJacobian	passiveMoveByJacobian (const Vector2D &bySZ) const
	Computes the Jacobi matrix for a move of the coordinate system by the given vector.

Private Attributes
double	m_tanLambda
	Memory for the tan lambda parameter.
double	m_z0
	Memory for the z0 parameter.

Detailed Description

A line in the sz space.

The line is represented in sz parameters tan lambda and z0 beginning the slope and the intercept of the line in the sz space.

Definition at line 26 of file SZLine.h.

Constructor & Destructor Documentation

SZLine() [1/3]

SZLine ( )

inline

Default constructor for ROOT compatibility.

Definition at line 30 of file SZLine.h.

        : m_tanLambda(NAN)
        , m_z0(NAN)
      {
      }

SZLine() [2/3]

SZLine ( double  tanLambda, double  z0  )

inline

Constructor from slope and intercept in the sz space.

Definition at line 37 of file SZLine.h.

        : m_tanLambda(tanLambda)
        , m_z0(z0)
      {
      }

SZLine() [3/3]

SZLine ( const SZParameters &  szParameters )

inlineexplicit

Constructor from the sz parameters.

Definition at line 44 of file SZLine.h.

        : m_tanLambda(szParameters(ESZParameter::c_TanL))
        , m_z0(szParameters(ESZParameter::c_Z0))
      {
      }

Member Function Documentation

distance() [1/2]

double distance ( const Vector2D &  szPoint ) const

inline

Calculates the signed distance of the point to the line.

Returns the signed distance of the point to the line. The sign is positive
below the curve and negative above it.

Definition at line 165 of file SZLine.h.

      {
        return distance(szPoint.first(), szPoint.second());
      }

distance() [2/2]

double distance ( double  s, double  z  ) const

inline

Calculates the signed distance of the point given by its to coordinates to the line.

Returns the signed distance of the point to the line. The sign is positive
below the curve and negative above it.

Definition at line 175 of file SZLine.h.

      {
        return (map(s) - z) / hypot2(1, tanLambda());
      }

intercept()

double intercept ( ) const

inline

Getter for the intercept in the sz space which is equivalent to z0.

Definition at line 88 of file SZLine.h.

      {
        return m_z0;
      }

intersection()

Vector2D intersection

(

const SZLine &

szLine

)

const

Calculates the intersection point of two line. Infinity for parallels.

Definition at line 14 of file SZLine.cc.

{
  const double s = -(z0() - szLine.z0()) / (tanLambda() - szLine.tanLambda());
  return Vector2D(s, map(s));
}

invalidate()

void invalidate ( )

inline

Sets the parameters to a invalid representation.

Definition at line 135 of file SZLine.h.

      {
        setZ0(NAN);
        setTanLambda(NAN);
      }

inverseMap()

double inverseMap ( double  z ) const

inline

Maps the z coordinate to the two dimensional arc length s.

Definition at line 128 of file SZLine.h.

      {
        return (z - z0()) / tanLambda();
      }

inverseSlope()

double inverseSlope ( ) const

inline

Returns the slope over the second coordinate.

Definition at line 64 of file SZLine.h.

      {
        return 1 / tanLambda();
      }

isInvalid()

bool isInvalid ( ) const

inline

Indicates if the line parameters do not represent a valid line.

Definition at line 142 of file SZLine.h.

      {
        return not std::isfinite(tanLambda()) or not std::isfinite(z0());
      }

map()

double map ( double  s ) const

inline

Maps the two dimensional arc length s to z.

Definition at line 116 of file SZLine.h.

      {
        return tanLambda() * s + z0();
      }

operator()()

double operator() ( double  s ) const

inline

Maps the two dimensional arc length s to z.

Definition at line 122 of file SZLine.h.

      {
        return map(s);
      }

passiveMoveBy() [1/2]

void passiveMoveBy ( const Vector2D &  bySZ )

inline

Passively move the coordinate system in place by the given sz vector.

Definition at line 184 of file SZLine.h.

      {
        passiveMoveBy(bySZ.first(), bySZ.second());
      }

passiveMoveBy() [2/2]

void passiveMoveBy ( double  s, double  z  )

inline

Passively move the coordinate system in place by the given s and z coordinates.

Definition at line 190 of file SZLine.h.

      {
        m_z0 = map(s) - z;
      }

passiveMoveByJacobian()

SZJacobian passiveMoveByJacobian ( const Vector2D &  bySZ ) const

inline

Computes the Jacobi matrix for a move of the coordinate system by the given vector.

Definition at line 208 of file SZLine.h.

      {
        using namespace NSZParameterIndices;
        SZJacobian result = SZUtil::identity();
        result(c_Z0, c_TanL) = bySZ.first();
        return result;
      }

passiveMovedBy() [1/2]

SZLine passiveMovedBy ( const Vector2D &  bySZ ) const

inline

Return a line passively move by the given vector as a copy.

Definition at line 196 of file SZLine.h.

      {
        return passiveMovedBy(bySZ.first(), bySZ.second());
      }

passiveMovedBy() [2/2]

SZLine passiveMovedBy ( double  s, double  z  ) const

inline

Return a line passively move by the given s and z coordinates as a copy.

Definition at line 202 of file SZLine.h.

      {
        return SZLine(tanLambda(), map(s) - z);
      }

reverse()

void reverse ( )

inline

Reverse the arc length direction in place.

Definition at line 148 of file SZLine.h.

      {
        m_tanLambda = -m_tanLambda;
      }

reversed()

SZLine reversed ( ) const

inline

Returns a copy of the line with reversed the arc length direction.

Definition at line 154 of file SZLine.h.

      {
        return SZLine(-tanLambda(), z0());
      }

setTanLambda()

void setTanLambda ( double  tanLambda )

inline

Getter for the tan lambda parameter.

Definition at line 76 of file SZLine.h.

      {
        m_tanLambda = tanLambda;
      }

setZ0()

void setZ0 ( double  z0 )

inline

Getter for the z0 parameter.

Definition at line 94 of file SZLine.h.

      {
        m_z0 = z0;
      }

slope()

double slope ( ) const

inline

Getter for the slope in the sz space which is equivalent to tan lambda.

Definition at line 58 of file SZLine.h.

      {
        return m_tanLambda;
      }

szParameters()

SZParameters szParameters ( ) const

inline

Getter for the sz parameters.

Definition at line 100 of file SZLine.h.

      {
        using namespace NSZParameterIndices;
        SZParameters result;
        result(c_TanL) = tanLambda();
        result(c_Z0) = z0();
        return result;
      }

tanLambda()

double tanLambda ( ) const

inline

Getter for the tan lambda parameter.

Definition at line 52 of file SZLine.h.

      {
        return m_tanLambda;
      }

theta()

double theta ( ) const

inline

Getter for the theta dip angle.

Definition at line 70 of file SZLine.h.

      {
        return m_tanLambda;
      }

z0()

double z0 ( ) const

inline

Getter for the z0 parameter.

Definition at line 82 of file SZLine.h.

      {
        return m_z0;
      }

zero()

double zero ( ) const

inline

Returns the the two dimensional arc length s where the z coordinate approaches zero.

Definition at line 110 of file SZLine.h.

      {
        return -intercept() / slope();
      }

Member Data Documentation

m_tanLambda

double m_tanLambda

private

Memory for the tan lambda parameter.

Definition at line 218 of file SZLine.h.

m_z0

double m_z0

private

Memory for the z0 parameter.

Definition at line 221 of file SZLine.h.

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

• tracking/trackFindingCDC/geometry/include/SZLine.h
• tracking/trackFindingCDC/geometry/src/SZLine.cc