Auxiliary classes and methods for 3D geometrical objects and operations. More...

Classes
class	JAngle3D
	Data structure for angles in three dimensions. More...

class	JAxis3D
	Axis object. More...

class	JCenter3D
	Center. More...

class	JCylinder3D
	Cylinder object. More...

class	JDirection3D
	Data structure for direction in three dimensions. More...

class	JEigenValues3D
	Eigen values in 3D. More...

class	JEulerAngle3D
	Data structure for Euler angles in three dimensions. More...

class	JEulerMatrix3D
	Euler matrix. More...

class	JOmega3D
	Direction set covering (part of) solid angle. More...

struct	JOmega3D_t
	Base class for direction set. More...

class	JPolyline3D
	Data structure for polyline in three dimensions. More...

class	JPosition3D
	Data structure for position in three dimensions. More...

struct	JQuaternion2D
	This class represents a rotation. More...

class	JQuaternion3D
	Data structure for quaternion in three dimensions. More...

struct	JQuaternion3X
	This class represents a rotation around the x-axis. More...

struct	JQuaternion3Y
	This class represents a rotation around the y-axis. More...

struct	JQuaternion3Z
	This class represents a rotation around the z-axis. More...

class	JRotation3D
	Rotation matrix. More...

class	JRotation3X
	Rotation around X-axis. More...

class	JRotation3Y
	Rotation around Y-axis. More...

class	JRotation3Z
	Rotation around Z-axis. More...

class	JRotator3D
	Rotation set. More...

class	JSegment3D
	Line segment in two dimensions. More...

class	JSmallestDistance3D
	Auxiliary class for determination of smallest distance between pair of 3D points. More...

class	JSphere3D
	3D sphere. More...

class	JTime
	Time. More...

class	JTrack3D
	3D track. More...

class	JTrack3E
	3D track with energy. More...

struct	JTransformation3D
	Transformation. More...

class	JVector3D
	Data structure for vector in three dimensions. More...

class	JVersor3D
	Data structure for normalised vector in three dimensions. More...

class	JVersor3Z
	Data structure for normalised vector in positive z-direction. More...

class	JVertex3D
	3D vertex. More...

class	JWeighedCenter3D
	Weighed center. More...

Typedefs
typedef std::vector< JRotation3D >	JRotator3D_t
	Type definition of rotation set. More...

typedef std::pair< JPosition3D, JPosition3D >	JSegment3D_t
	Type definition of line segment in two dimensions. More...

typedef JTOOLS::JRange< double >	JRangeZ
	Type definition of range along z-axis. More...

Functions
void	randomize (JPosition3D *p)
	Randomize position. More...

void	randomize (JDirection3D *p)
	Randomize direction. More...

void	randomize (JQuaternion3D *p)
	Randomize quaternion. More...

void	randomize (JEulerAngle3D *p)
	Randomize Euler angle. More...

void	randomize (JEulerMatrix3D *p)
	Randomize Euler matrix. More...

JVector3D	getRandomPosition (const JSphere3D &sphere)
	Get random position. More...

JVector3D	getRandomPosition (const JCylinder3D &cylinder)
	Get random position. More...

Variables
static const JSmallestDistance3D	getSmallestDistance3D
	Function object for smallest distance determination. More...

static const JVersor3D	JVersor3X_t (1, 0, 0)
	unit x-vector More...

static const JVersor3D	JVersor3Y_t (0, 1, 0)
	unit y-vector More...

static const JVersor3D	JVersor3Z_t (0, 0, 1)
	unit z-vector More...

Detailed Description

Auxiliary classes and methods for 3D geometrical objects and operations.

Author: mdejong; mjongen

Typedef Documentation

◆ JRotator3D_t

typedef std::vector<JRotation3D> JGEOMETRY3D::JRotator3D_t

Type definition of rotation set.

Definition at line 23 of file JRotator3D.hh.

◆ JSegment3D_t

typedef std::pair<JPosition3D, JPosition3D> JGEOMETRY3D::JSegment3D_t

Type definition of line segment in two dimensions.

Definition at line 27 of file JSegment3D.hh.

◆ JRangeZ

typedef JTOOLS::JRange<double> JGEOMETRY3D::JRangeZ

Type definition of range along z-axis.

Definition at line 25 of file JVector3D.hh.

Function Documentation

◆ randomize() [1/5]

void JGEOMETRY3D::randomize ( JPosition3D * p )

inline

Randomize position.

Parameters

p	pointer to valid object

Definition at line 34 of file JGeometry3DTestkit.hh.

   {
     new (p) JPosition3D(getRandom<double>(-1.0, +1.0),
                         getRandom<double>(-1.0, +1.0),
                         getRandom<double>(-1.0, +1.0));
   };

◆ randomize() [2/5]

void JGEOMETRY3D::randomize ( JDirection3D * p )

inline

Randomize direction.

Parameters

p	pointer to valid object

Definition at line 47 of file JGeometry3DTestkit.hh.

   {
     double x, y, z;
  
     gRandom->Sphere(x, y, z, 1.0);
  
     new (p) JDirection3D(x, y, z);
   };

◆ randomize() [3/5]

void JGEOMETRY3D::randomize ( JQuaternion3D * p )

inline

Randomize quaternion.

Parameters

p	pointer to valid object

Definition at line 62 of file JGeometry3DTestkit.hh.

   {
     double x, y, z;
  
     gRandom->Sphere(x, y, z, 1.0);
  
     const double alpha = getRandom<double>(-PI, +PI);
  
     new (p) JQuaternion3D(alpha, JVersor3D(x, y, z));
   }

◆ randomize() [4/5]

void JGEOMETRY3D::randomize ( JEulerAngle3D * p )

inline

Randomize Euler angle.

Parameters

p	pointer to valid object

Definition at line 79 of file JGeometry3DTestkit.hh.

   {
     new (p) JEulerAngle3D(getRandom<double>(0.0, PI),
                           getRandom<double>(0.0, PI),
                           getRandom<double>(0.0, PI));
   }

◆ randomize() [5/5]

void JGEOMETRY3D::randomize ( JEulerMatrix3D * p )

inline

Randomize Euler matrix.

Parameters

p	pointer to valid object

Definition at line 92 of file JGeometry3DTestkit.hh.

   {
     new (p) JEulerMatrix3D(getRandom<JEulerAngle3D>());
   }

◆ getRandomPosition() [1/2]

JVector3D JGEOMETRY3D::getRandomPosition ( const JSphere3D & sphere )

inline

Get random position.

The positions are uniformly distributed in given sphere.

Parameters

sphere sphere

Returns: position

Definition at line 105 of file JGeometry3DTestkit.hh.

   {
     const double R3max = sphere.getRadius() * sphere.getRadius() * sphere.getRadius();
  
     const double R3  = gRandom->Uniform(0.0, R3max);
     const double ct  = gRandom->Uniform(-1.0, +1.0);
     const double phi = gRandom->Uniform(-PI, +PI);
     
     const double R   = cbrt(R3);
     const double st  = sqrt((1.0 + ct) * (1.0 - ct));
  
     return sphere.getPosition() + JVector3D(R * st * cos(phi),
                                             R * st * sin(phi),
                                             R * ct);
   }

◆ getRandomPosition() [2/2]

JVector3D JGEOMETRY3D::getRandomPosition ( const JCylinder3D & cylinder )

inline

Get random position.

The positions are uniformly distributed in given cylinder.

Parameters

cylinder cylinder

Returns: position

Definition at line 129 of file JGeometry3DTestkit.hh.

   {
     const double R2max = cylinder.getRadius() * cylinder.getRadius();
  
     const double R2  = gRandom->Uniform(0.0, R2max);
     const double phi = gRandom->Uniform(-PI, +PI);
     const double z   = gRandom->Uniform(cylinder.getZmin(), cylinder.getZmax());
  
     const double R   = sqrt(R2);
  
     return JVector3D(cylinder.getX()  +  R * cos(phi),
                      cylinder.getY()  +  R * sin(phi),
                      z);
   }

Variable Documentation

◆ getSmallestDistance3D

const JSmallestDistance3D JGEOMETRY3D::getSmallestDistance3D

static

Function object for smallest distance determination.

Definition at line 243 of file JGeometry3DToolkit.hh.

◆ JVersor3X_t

const JVersor3D JGEOMETRY3D::JVersor3X_t(1, 0, 0)

static

unit x-vector

◆ JVersor3Y_t

const JVersor3D JGEOMETRY3D::JVersor3Y_t(0, 1, 0)

static

unit y-vector

◆ JVersor3Z_t

const JVersor3D JGEOMETRY3D::JVersor3Z_t(0, 0, 1)

static

unit z-vector

Classes

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ JRotator3D_t

◆ JSegment3D_t

◆ JRangeZ

Function Documentation

◆ randomize() [1/5]

◆ randomize() [2/5]

◆ randomize() [3/5]

◆ randomize() [4/5]

◆ randomize() [5/5]

◆ getRandomPosition() [1/2]

◆ getRandomPosition() [2/2]

Variable Documentation

◆ getSmallestDistance3D

◆ JVersor3X_t

◆ JVersor3Y_t

◆ JVersor3Z_t