Linear fit of bright point (position and time) between hits (objects with position and time). More...

#include <JPoint4DEstimator.hh>

Inheritance diagram for JFIT::JEstimator< JPoint4D >:

Public Types
typedef double JPoint4D::*	parameter_type

Public Member Functions
	JEstimator ()
	Fit constructor.

template<class T >
	JEstimator (T __begin, T __end)
	Fit constructor.

template<class T >
void	operator() (T __begin, T __end)
	Fit function.

const JVertex3D &	getVertex () const
	Get vertex.

JVertex3D &	negate ()
	Prefix unary minus.

JVertex3D &	add (const JVertex3D &value)
	Addition operator.

JTime &	add (const JTime &value)
	Addition operator.

JVector3D &	add (const JVector3D &vector)
	Add vector.

JVertex3D &	sub (const JVertex3D &value)
	Subtraction operator.

JTime &	sub (const JTime &value)
	Subtraction operator.

JVector3D &	sub (const JVector3D &vector)
	Subtract vector.

JVertex3D &	mul (const double value)
	Multiplication operator.

JFirst_t &	mul (const JSecond_t &object)
	Multiply with object.

JFirst_t &	mul (const JSecond_t &object)
	Multiply with object.

JVertex3D &	div (const double value)
	Division operator.

double	getT (const JVector3D &pos) const
	Get arrival time of Cherenkov light at given position.

double	getT () const
	Get time.

JVersor3D	getDirection (const JVector3D &pos) const
	Get photon direction of Cherenkov light on PMT.

double	getDot (const JAxis3D &axis) const
	Get cosine angle of impact of Cherenkov light on PMT.

double	getDot (const JAngle3D &angle) const
	Get dot product.

double	getDot (const JVersor3D &dir) const
	Get dot product.

double	getDot (const JVersor3Z &dir) const
	Get dot product.

double	getDot (const JVector3D &vector) const
	Get dot product.

const JPosition3D &	getPosition () const
	Get position.

JPosition3D &	getPosition ()
	Get position.

void	setPosition (const JVector3D &pos)
	Set position.

	operator JAngle3D () const
	Type conversion operator.

	operator JVersor3D () const
	Type conversion operator.

JPosition3D &	rotate (const JRotation3D &R)
	Rotate.

JPosition3D &	rotate (const JRotation3X &R)
	Rotate around X-axis.

JPosition3D &	rotate (const JRotation3Y &R)
	Rotate around Y-axis.

JPosition3D &	rotate (const JRotation3Z &R)
	Rotate around Z-axis.

JPosition3D &	rotate (const JQuaternion3D &Q)
	Rotate.

JPosition3D &	rotate_back (const JRotation3D &R)
	Rotate back.

JPosition3D &	rotate_back (const JRotation3X &R)
	Rotate back around X-axis.

JPosition3D &	rotate_back (const JRotation3Y &R)
	Rotate back around Y-axis.

JPosition3D &	rotate_back (const JRotation3Z &R)
	Rotate back around Z-axis.

JPosition3D &	rotate_back (const JQuaternion3D &Q)
	Rotate back.

void	transform (const JRotation3D &R, const JVector3D &pos)
	Transform position.

JVector3D &	transform (const JMatrix3D &T)
	Transform.

void	transform_back (const JRotation3D &R, const JVector3D &pos)
	Transform back position.

	operator JVector2D () const
	Type conversion operator.

double	getX () const
	Get x position.

double	getY () const
	Get y position.

double	getZ () const
	Get z position.

bool	equals (const JVector3D &vector, const double precision=std::numeric_limits< double >::min()) const
	Check equality.

double	getLengthSquared () const
	Get length squared.

double	getLength () const
	Get length.

double	getDistanceSquared (const JVector3D &pos) const
	Get squared of distance to point.

double	getDistance (const JVector3D &pos) const
	Get distance to point.

JVector3D &	getCross (const JVector3D &first, const JVector3D &second)
	Get cross product.

void	setT (const double time)
	Set time.

Static Public Member Functions
static parameter_type	pX ()

static parameter_type	pY ()

static parameter_type	pZ ()

static parameter_type	pT ()

Public Attributes
JMATH::JMatrix4S	V
	co-variance matrix of fit parameters

Static Public Attributes
static const int	NUMBER_OF_PARAMETERS = 4
	number of parameters of fit

Protected Attributes
double	__x

double	__y

double	__z

double	__t

Detailed Description

Linear fit of bright point (position and time) between hits (objects with position and time).

$\begin{center}\setlength{\unitlength}{0.6cm}\begin{picture}(12,7) \put( 6.0, 1.0){\circle*{0.3}} \put( 6.0, 0.0){\makebox(0,0)[b]{$(x_{0},y_{0},z_{0})$}} \multiput(6.0, 1.0)(-0.5, 0.5){10}{\qbezier(0.0,0.0)(+0.1,0.35)(-0.25,0.25)\qbezier(-0.25,0.25)(-0.6,0.15)(-0.5,0.5)} \put( 1.0, 6.0){\circle*{0.2}} \put( 1.0, 6.5){\makebox(0,0)[b]{$(x_i,y_i,z_i,t_i)$}} \multiput(6.0, 1.0)( 0.5, 0.5){10}{\qbezier(0.0,0.0)(0.35,-0.1)( 0.25,0.25)\qbezier( 0.25,0.25)(0.15, 0.6)( 0.5,0.5)} \put(11.0, 6.0){\circle*{0.2}} \put(11.0, 6.5){\makebox(0,0)[b]{$(x_j,y_j,z_j,t_j)$}} \end{picture} \end{center}$

$t_j = t_0 + \frac{c}{n} \times \sqrt((x_j - x_0)^2 + (y_j - y_0)^2 + (z_j - z_0)^2)$

where:

$\begin{eqnarray*} x_0 & = & \textrm{x position of vertex (fit parameter)} \\ y_0 & = & \textrm{y position of vertex (fit parameter)} \\ z_0 & = & \textrm{z position of vertex (fit parameter)} \\ t_0 & = & \textrm{time at vertex (fit parameter)} \\ \\ c & = & \textrm{speed of light (in vacuum)} \\ n & = & \textrm{index of refraction corresponding to the group velocity of light} \\ \end{eqnarray*}$

Defining:

$\begin{eqnarray*} t_j' & \equiv & nct_j \\ t_0' & \equiv & nct_0 \\ \end{eqnarray*}$

$\Rightarrow (t_j' - t_0')^2 = (x_j - x_0)^2 + (y_j - y_0)^2 + (z_j - z_0)^2$

The parameters $\{x_0, y_0, z_0, t_0\}$ are estimated in the constructor of this class based on consecutive pairs of equations by which the quadratic terms in , , and are eliminated.

Definition at line 69 of file JPoint4DEstimator.hh.

Member Typedef Documentation

◆ parameter_type

double JPoint4D::* JFIT::JPoint4D::parameter_type

inherited

Definition at line 56 of file JPoint4D.hh.

Constructor & Destructor Documentation

◆ JEstimator() [1/2]

JFIT::JEstimator< JPoint4D >::JEstimator ( )

inline

Fit constructor.

Definition at line 77 of file JPoint4DEstimator.hh.

                 :
      JPoint4D()
    {}

◆ JEstimator() [2/2]

template<class T >

JFIT::JEstimator< JPoint4D >::JEstimator	(	T	__begin,
		T	__end )

inline

Fit constructor.

The template argument T refers to an iterator of a data structure which should have the following member methods:

double getX(); // [m]
double getY(); // [m]
double getZ(); // [m]
double getT(); // [ns]

Parameters

__begin	begin of data
__end	end of data

Definition at line 95 of file JPoint4DEstimator.hh.

                                   :
      JPoint4D()
    {
      (*this)(__begin, __end);
    }

Member Function Documentation

◆ operator()()

template<class T >

void JFIT::JEstimator< JPoint4D >::operator()	(	T	__begin,
		T	__end )

inline

Fit function.

This method is used to find the vertex of a given set of hits

Parameters

__begin	begin of data
__end	end of data

Definition at line 110 of file JPoint4DEstimator.hh.

    {
      using namespace std;
      using namespace JPP;
      
      const int N = distance(__begin, __end);
      
      if (N >= NUMBER_OF_PARAMETERS) {
        
        double t0 = 0.0;
        
        __x = 0.0;
        __y = 0.0;
        __z = 0.0;
        
        for (T i = __begin; i != __end; ++i) {
          __x += i->getX();
          __y += i->getY();
          __z += i->getZ();
          t0  += i->getT();
        }
        
        div(N);
        t0 /= N;
 
        V.reset();
 
        t0 *= getSpeedOfLight();
 
        double y0 = 0.0;
        double y1 = 0.0;
        double y2 = 0.0;
        double y3 = 0.0;
 
        T j = __begin;
 
        double xi =  j->getX() - getX();
        double yi =  j->getY() - getY();
        double zi =  j->getZ() - getZ();
        double ti = (j->getT() * getSpeedOfLight()  -  t0) / getIndexOfRefraction();
 
        for (bool done = false; !done; ) {
 
          if ((done = (++j == __end))) {
            j = __begin;
          }
 
          double xj =  j->getX() - getX();
          double yj =  j->getY() - getY();
          double zj =  j->getZ() - getZ();
          double tj = (j->getT() * getSpeedOfLight()  -  t0) / getIndexOfRefraction();
            
          double dx = xj - xi;
          double dy = yj - yi;
          double dz = zj - zi;
          double dt = ti - tj;    // opposite sign!
            
          const double y  = ((xj + xi) * dx +
                             (yj + yi) * dy +
                             (zj + zi) * dz +
                             (tj + ti) * dt);
 
          dx *= 2;
          dy *= 2;
          dz *= 2;
          dt *= 2;
            
          V.a00 += dx * dx;
          V.a01 += dx * dy;
          V.a02 += dx * dz;
          V.a03 += dx * dt;
          V.a11 += dy * dy;
          V.a12 += dy * dz;
          V.a13 += dy * dt;
          V.a22 += dz * dz;
          V.a23 += dz * dt;
          V.a33 += dt * dt;
 
          y0 += dx * y;
          y1 += dy * y;
          y2 += dz * y;
          y3 += dt * y;
 
          xi = xj;
          yi = yj;
          zi = zj;
          ti = tj;
        }
 
        t0 *= getInverseSpeedOfLight();
 
        V.a10 = V.a01;
        V.a20 = V.a02;
        V.a30 = V.a03;
        V.a21 = V.a12;
        V.a31 = V.a13;
        V.a32 = V.a23;
 
        V.invert();
 
        __x += V.a00 * y0  +  V.a01 * y1  +  V.a02 * y2  +  V.a03 * y3;
        __y += V.a10 * y0  +  V.a11 * y1  +  V.a12 * y2  +  V.a13 * y3;
        __z += V.a20 * y0  +  V.a21 * y1  +  V.a22 * y2  +  V.a23 * y3;
        __t  = V.a30 * y0  +  V.a31 * y1  +  V.a32 * y2  +  V.a33 * y3;
        
        __t *= getInverseSpeedOfLight() * getIndexOfRefraction();
        __t += t0;
 
      } else {
        throw JValueOutOfRange("JEstimator<JPoint4D>::operator(): Not enough data points.");
      }
    }

◆ pX()

static parameter_type JFIT::JPoint4D::pX ( )

inlinestaticinherited

Definition at line 58 of file JPoint4D.hh.

58{ return &JPoint4D::__x; }

◆ pY()

static parameter_type JFIT::JPoint4D::pY ( )

inlinestaticinherited

Definition at line 59 of file JPoint4D.hh.

59{ return &JPoint4D::__y; }

◆ pZ()

static parameter_type JFIT::JPoint4D::pZ ( )

inlinestaticinherited

Definition at line 60 of file JPoint4D.hh.

60{ return &JPoint4D::__z; }

◆ pT()

static parameter_type JFIT::JPoint4D::pT ( )

inlinestaticinherited

Definition at line 61 of file JPoint4D.hh.

61{ return &JPoint4D::__t; }

◆ getVertex()

const JVertex3D & JGEOMETRY3D::JVertex3D::getVertex ( ) const

inlineinherited

Get vertex.

Returns: vertex

Definition at line 75 of file JVertex3D.hh.

    {
      return static_cast<const JVertex3D&>(*this);
    }

◆ negate()

JVertex3D & JGEOMETRY3D::JVertex3D::negate ( )

inlineinherited

Prefix unary minus.

Returns: vertex

Definition at line 86 of file JVertex3D.hh.

    {
      JPosition3D::negate();
      JTime      ::negate();
 
      return *this;
    }

◆ add() [1/3]

JVertex3D & JGEOMETRY3D::JVertex3D::add ( const JVertex3D & value )

inlineinherited

Addition operator.

Parameters

value vertex

Returns: vertex

Definition at line 100 of file JVertex3D.hh.

    {
      JPosition3D::add(value);
      JTime      ::add(value);
 
      return *this;
    }

◆ add() [2/3]

JTime & JGEOMETRY3D::JTime::add ( const JTime & value )

inlineinherited

Addition operator.

Parameters

value time

Returns: time

Definition at line 68 of file JGeometry3D/JTime.hh.

    {
      __t += value.getT();
 
      return *this;
    }

◆ add() [3/3]

JVector3D & JGEOMETRY3D::JVector3D::add ( const JVector3D & vector )

inlineinherited

Add vector.

Parameters

vector vector

Returns: this vector

Definition at line 142 of file JVector3D.hh.

    {
      __x += vector.getX();
      __y += vector.getY();
      __z += vector.getZ();
 
      return *this;
    }

◆ sub() [1/3]

JVertex3D & JGEOMETRY3D::JVertex3D::sub ( const JVertex3D & value )

inlineinherited

Subtraction operator.

Parameters

value vertex

Returns: vertex

Definition at line 115 of file JVertex3D.hh.

    {
      JPosition3D::sub(value);
      JTime      ::sub(value);
 
      return *this;
    }

◆ sub() [2/3]

JTime & JGEOMETRY3D::JTime::sub ( const JTime & value )

inlineinherited

Subtraction operator.

Parameters

value time

Returns: time

Definition at line 82 of file JGeometry3D/JTime.hh.

    {
      __t -= value.getT();
 
      return *this;
    }

◆ sub() [3/3]

JVector3D & JGEOMETRY3D::JVector3D::sub ( const JVector3D & vector )

inlineinherited

Subtract vector.

Parameters

vector vector

Returns: this vector

Definition at line 158 of file JVector3D.hh.

    {
      __x -= vector.getX();
      __y -= vector.getY();
      __z -= vector.getZ();
 
      return *this;
    }

◆ mul() [1/3]

JVertex3D & JGEOMETRY3D::JVertex3D::mul ( const double value )

inlineinherited

Multiplication operator.

Parameters

value multiplication factor

Returns: vertex

Definition at line 130 of file JVertex3D.hh.

    {
      JPosition3D::mul(value);
      JTime      ::mul(value);
 
      return *this;
    }

◆ mul() [2/3]

template<class JFirst_t , class JSecond_t >

JFirst_t & JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t & object )

inlineinherited

Multiply with object.

Parameters

object object

Returns: result object

Definition at line 354 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
    }

◆ mul() [3/3]

template<class JFirst_t , class JSecond_t >

JFirst_t & JMATH::JMath< JFirst_t, JSecond_t >::mul ( const JSecond_t & object )

inlineinherited

Multiply with object.

Parameters

object object

Returns: result object

Definition at line 354 of file JMath.hh.

    {
      return static_cast<JFirst_t&>(*this) = JFirst_t().mul(static_cast<const JFirst_t&>(*this), object);
    }

◆ div()

JVertex3D & JGEOMETRY3D::JVertex3D::div ( const double value )

inlineinherited

Division operator.

Parameters

value multiplication factor

Returns: vertex

Definition at line 145 of file JVertex3D.hh.

    {
      JPosition3D::div(value);
      JTime      ::div(value);
 
      return *this;
    }

◆ getT() [1/2]

double JGEOMETRY3D::JVertex3D::getT ( const JVector3D & pos ) const

inlineinherited

Get arrival time of Cherenkov light at given position.

Parameters

pos	position [m]

Returns: time [ns]

Definition at line 160 of file JVertex3D.hh.

    {
      using namespace JPHYSICS;
 
      return this->getT() + this->getDistance(pos) * getInverseSpeedOfLight() * getIndexOfRefraction();
    }

◆ getT() [2/2]

double JGEOMETRY3D::JTime::getT ( ) const

inlineinherited

Get time.

Returns: time

Definition at line 134 of file JGeometry3D/JTime.hh.

    {
      return __t;
    }

◆ getDirection()

JVersor3D JGEOMETRY3D::JVertex3D::getDirection ( const JVector3D & pos ) const

inlineinherited

Get photon direction of Cherenkov light on PMT.

Parameters

pos	PMT position

Returns: direction

Definition at line 174 of file JVertex3D.hh.

    {
      JPosition3D D(pos);
 
      D.sub(this->getPosition());
 
      return JVersor3D(D);
    }

◆ getDot() [1/5]

double JGEOMETRY3D::JVertex3D::getDot ( const JAxis3D & axis ) const

inlineinherited

Get cosine angle of impact of Cherenkov light on PMT.

Parameters

axis PMT axis

Returns: cosine angle of impact

Definition at line 190 of file JVertex3D.hh.

    {
      return getDirection(axis.getPosition()).getDot(axis.getDirection());
    }

◆ getDot() [2/5]

double JGEOMETRY3D::JPosition3D::getDot ( const JAngle3D & angle ) const

inlineinherited

Get dot product.

Parameters

angle angle

Returns: dot product

Definition at line 378 of file JPosition3D.hh.

    {
      return
        getX() * angle.getDX() +
        getY() * angle.getDY() +
        getZ() * angle.getDZ();
    }

◆ getDot() [3/5]

double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3D & dir ) const

inlineinherited

Get dot product.

Parameters

dir direction

Returns: dot product

Definition at line 393 of file JPosition3D.hh.

    {
      return
        getX() * dir.getDX() +
        getY() * dir.getDY() +
        getZ() * dir.getDZ();
    }

◆ getDot() [4/5]

double JGEOMETRY3D::JPosition3D::getDot ( const JVersor3Z & dir ) const

inlineinherited

Get dot product.

Parameters

dir direction

Returns: dot product

Definition at line 408 of file JPosition3D.hh.

    {
      return
        getX() * dir.getDX() +
        getY() * dir.getDY() +
        getZ() * dir.getDZ();
    }

◆ getDot() [5/5]

double JGEOMETRY3D::JVector3D::getDot ( const JVector3D & vector ) const

inlineinherited

Get dot product.

Parameters

vector vector

Returns: dot product

Definition at line 282 of file JVector3D.hh.

    {
      return
        getX() * vector.getX() +
        getY() * vector.getY() +
        getZ() * vector.getZ();
    }

◆ getPosition() [1/2]

const JPosition3D & JGEOMETRY3D::JPosition3D::getPosition ( ) const

inlineinherited

Get position.

Returns: position

Definition at line 130 of file JPosition3D.hh.

    {
      return static_cast<const JPosition3D&>(*this);
    }

◆ getPosition() [2/2]

JPosition3D & JGEOMETRY3D::JPosition3D::getPosition ( )

inlineinherited

Get position.

Returns: position

Definition at line 141 of file JPosition3D.hh.

    {
      return static_cast<JPosition3D&>(*this);
    }

◆ setPosition()

void JGEOMETRY3D::JPosition3D::setPosition ( const JVector3D & pos )

inlineinherited

Set position.

Parameters

pos position

Definition at line 152 of file JPosition3D.hh.

    {
      static_cast<JVector3D&>(*this) = pos;
    }

◆ operator JAngle3D()

JGEOMETRY3D::JPosition3D::operator JAngle3D ( ) const

inlineinherited

Type conversion operator.

Returns: angle

Definition at line 163 of file JPosition3D.hh.

    {
      return JAngle3D(getX(), getY(), getZ());
    }

◆ operator JVersor3D()

JGEOMETRY3D::JPosition3D::operator JVersor3D ( ) const

inlineinherited

Type conversion operator.

Returns: direction

Definition at line 174 of file JPosition3D.hh.

    {
      return JVersor3D(getX(), getY(), getZ());
    }

◆ rotate() [1/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate ( const JRotation3D & R )

inlineinherited

Rotate.

Parameters

R	rotation matrix

Returns: this position

Definition at line 186 of file JPosition3D.hh.

    {
      R.rotate(__x, __y, __z);
 
      return *this;
    }

◆ rotate() [2/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate ( const JRotation3X & R )

inlineinherited

Rotate around X-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 214 of file JPosition3D.hh.

    {
      R.rotate(__y, __z);
 
      return *this;
    }

◆ rotate() [3/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate ( const JRotation3Y & R )

inlineinherited

Rotate around Y-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 242 of file JPosition3D.hh.

    {
      R.rotate(__x, __z);
 
      return *this;
    }

◆ rotate() [4/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate ( const JRotation3Z & R )

inlineinherited

Rotate around Z-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 270 of file JPosition3D.hh.

    {
      R.rotate(__x, __y);
 
      return *this;
    }

◆ rotate() [5/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate ( const JQuaternion3D & Q )

inlineinherited

Rotate.

Parameters

Q	quaternion

Returns: this position

Definition at line 298 of file JPosition3D.hh.

    {
      Q.rotate(__x, __y, __z);
      
      return *this;
    }

◆ rotate_back() [1/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3D & R )

inlineinherited

Rotate back.

Parameters

R	rotation matrix

Returns: this position

Definition at line 200 of file JPosition3D.hh.

    {
      R.rotate_back(__x, __y, __z);
 
      return *this;
    }

◆ rotate_back() [2/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3X & R )

inlineinherited

Rotate back around X-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 228 of file JPosition3D.hh.

    {
      R.rotate_back(__y, __z);
 
      return *this;
    }

◆ rotate_back() [3/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3Y & R )

inlineinherited

Rotate back around Y-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 256 of file JPosition3D.hh.

    {
      R.rotate_back(__x, __z);
 
      return *this;
    }

◆ rotate_back() [4/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JRotation3Z & R )

inlineinherited

Rotate back around Z-axis.

Parameters

R	rotation matrix

Returns: this position

Definition at line 284 of file JPosition3D.hh.

    {
      R.rotate_back(__x, __y);
 
      return *this;
    }

◆ rotate_back() [5/5]

JPosition3D & JGEOMETRY3D::JPosition3D::rotate_back ( const JQuaternion3D & Q )

inlineinherited

Rotate back.

Parameters

Q	quaternion

Returns: this position

Definition at line 312 of file JPosition3D.hh.

    {
      Q.rotate_back(__x, __y, __z);
 
      return *this;
    }

◆ transform() [1/2]

void JGEOMETRY3D::JPosition3D::transform	(	const JRotation3D &	R,
		const JVector3D &	pos )

inlineinherited

Transform position.

The final position is obtained as follows:

rotation of the position according matrix R;
offset position with pos;
rotation of position around z-axis, such that final position lies in x-z plane;

Parameters

R	rotation matrix
pos	position of origin (after rotation)

Definition at line 331 of file JPosition3D.hh.

    {
      // rotate geometry to system with particle direction along z-axis
 
      rotate(R);
 
      // offset with respect to origin
 
      sub(pos);
 
      // rotate geometry to x-z plane
 
      __x = sqrt(__x*__x + __y*__y);
      __y = 0.0;
    }

◆ transform() [2/2]

JVector3D & JGEOMETRY3D::JVector3D::transform ( const JMatrix3D & T )

inlineinherited

Transform.

Parameters

T matrix

Returns: this vector

Definition at line 206 of file JVector3D.hh.

    {
      T.transform(__x, __y, __z);
 
      return *this;
    }

◆ transform_back()

void JGEOMETRY3D::JPosition3D::transform_back	(	const JRotation3D &	R,
		const JVector3D &	pos )

inlineinherited

Transform back position.

The final position is obtained as follows:

offset position with position pos;
rotation of postion according matrix R;

Parameters

R	rotation matrix
pos	position of origin (before rotation)

Definition at line 359 of file JPosition3D.hh.

    {
      // offset with respect to origin
 
      add(pos);
 
      // rotate back geometry to system with particle direction along z-axis
 
      rotate_back(R);
    }

◆ operator JVector2D()

JGEOMETRY3D::JVector3D::operator JVector2D ( ) const

inlineinherited

Type conversion operator.

Returns: JVector2D

Definition at line 83 of file JVector3D.hh.

    {
      return JVector2D(this->getX(), this->getY());
    }

◆ getX()

double JGEOMETRY3D::JVector3D::getX ( ) const

inlineinherited

Get x position.

Returns: x position

Definition at line 94 of file JVector3D.hh.

    { 
      return __x;
    }

◆ getY()

double JGEOMETRY3D::JVector3D::getY ( ) const

inlineinherited

Get y position.

Returns: y position

Definition at line 104 of file JVector3D.hh.

    { 
      return __y;
    }

◆ getZ()

double JGEOMETRY3D::JVector3D::getZ ( ) const

inlineinherited

Get z position.

Returns: z position

Definition at line 115 of file JVector3D.hh.

    { 
      return __z;
    }

◆ equals()

bool JGEOMETRY3D::JVector3D::equals	(	const JVector3D &	vector,
		const double	precision = std::numeric_limits<double>::min() ) const

inlineinherited

Check equality.

Parameters

vector	vector
precision	precision

Returns: true if vectors are equal; else false

Definition at line 221 of file JVector3D.hh.

    {
      return (fabs(getX() - vector.getX()) <= precision &&
              fabs(getY() - vector.getY()) <= precision &&
              fabs(getZ() - vector.getZ()) <= precision);
    }

◆ getLengthSquared()

double JGEOMETRY3D::JVector3D::getLengthSquared ( ) const

inlineinherited

Get length squared.

Returns: square of length

Definition at line 235 of file JVector3D.hh.

    { 
      return getX()*getX() + getY()*getY() + getZ()*getZ();
    }

◆ getLength()

double JGEOMETRY3D::JVector3D::getLength ( ) const

inlineinherited

Get length.

Returns: length

Definition at line 246 of file JVector3D.hh.

    { 
      return sqrt(getLengthSquared());
    }

◆ getDistanceSquared()

double JGEOMETRY3D::JVector3D::getDistanceSquared ( const JVector3D & pos ) const

inlineinherited

Get squared of distance to point.

Parameters

pos position

Returns: square of distance

Definition at line 258 of file JVector3D.hh.

    {
      return JVector3D(pos).sub(*this).getLengthSquared();
    }

◆ getDistance()

double JGEOMETRY3D::JVector3D::getDistance ( const JVector3D & pos ) const

inlineinherited

Get distance to point.

Parameters

pos position

Returns: distance

Definition at line 270 of file JVector3D.hh.

    {
      return sqrt(getDistanceSquared(pos));
    }

◆ getCross()

JVector3D & JGEOMETRY3D::JVector3D::getCross	(	const JVector3D &	first,
		const JVector3D &	second )

inlineinherited

Get cross product.

Note that this vector should not overlap with the first or second vector,

Parameters

first	first vector
second	second vector

Returns: this vector

Definition at line 299 of file JVector3D.hh.

    {
      __x = first .getY() * second.getZ()  -  second.getY() * first .getZ();
      __y = second.getX() * first .getZ()  -  first .getX() * second.getZ();
      __z = first .getX() * second.getY()  -  second.getX() * first .getY();
 
      return *this;
    }

◆ setT()

void JGEOMETRY3D::JTime::setT ( const double time )

inlineinherited

Set time.

Parameters

time

Definition at line 123 of file JGeometry3D/JTime.hh.

    {
      __t = time;
    }

Member Data Documentation

◆ NUMBER_OF_PARAMETERS

const int JFIT::JEstimator< JPoint4D >::NUMBER_OF_PARAMETERS = 4

static

number of parameters of fit

Definition at line 223 of file JPoint4DEstimator.hh.

◆ V

JMATH::JMatrix4S JFIT::JEstimator< JPoint4D >::V

co-variance matrix of fit parameters

Definition at line 224 of file JPoint4DEstimator.hh.

◆ __x

double JGEOMETRY3D::JVector3D::__x

protectedinherited

Definition at line 310 of file JVector3D.hh.

◆ __y

double JGEOMETRY3D::JVector3D::__y

protectedinherited

Definition at line 311 of file JVector3D.hh.

◆ __z

double JGEOMETRY3D::JVector3D::__z

protectedinherited

Definition at line 312 of file JVector3D.hh.

◆ __t

double JGEOMETRY3D::JTime::__t

protectedinherited

Definition at line 203 of file JGeometry3D/JTime.hh.

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

JPoint4DEstimator.hh

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ parameter_type

Constructor & Destructor Documentation

◆ JEstimator() [1/2]

◆ JEstimator() [2/2]

Member Function Documentation

◆ operator()()

◆ pX()

◆ pY()

◆ pZ()

◆ pT()

◆ getVertex()

◆ negate()

◆ add() [1/3]

◆ add() [2/3]

◆ add() [3/3]

◆ sub() [1/3]

◆ sub() [2/3]

◆ sub() [3/3]

◆ mul() [1/3]

◆ mul() [2/3]

◆ mul() [3/3]

◆ div()

◆ getT() [1/2]

◆ getT() [2/2]

◆ getDirection()

◆ getDot() [1/5]

◆ getDot() [2/5]

◆ getDot() [3/5]

◆ getDot() [4/5]

◆ getDot() [5/5]

◆ getPosition() [1/2]

◆ getPosition() [2/2]

◆ setPosition()

◆ operator JAngle3D()

◆ operator JVersor3D()

◆ rotate() [1/5]

◆ rotate() [2/5]

◆ rotate() [3/5]

◆ rotate() [4/5]

◆ rotate() [5/5]

◆ rotate_back() [1/5]

◆ rotate_back() [2/5]

◆ rotate_back() [3/5]

◆ rotate_back() [4/5]

◆ rotate_back() [5/5]

◆ transform() [1/2]

◆ transform() [2/2]

◆ transform_back()

◆ operator JVector2D()

◆ getX()

◆ getY()

◆ getZ()

◆ equals()

◆ getLengthSquared()

◆ getLength()

◆ getDistanceSquared()

◆ getDistance()

◆ getCross()

◆ setT()

Member Data Documentation

◆ NUMBER_OF_PARAMETERS

◆ V

◆ __x

◆ __y

◆ __z

◆ __t