Eigen values in 3D. More...

#include <JEigenValues3D.hh>

Inheritance diagram for JGEOMETRY3D::JEigenValues3D:

Public Member Functions
template<class T >
	JEigenValues3D (T __begin, T __end)
	Constructor. More...

int	getN () const
	Get number of eigen values. More...

int	getN (double precision) const
	Get number of eigen values with minimal value. More...

	operator JVector2D () const
	Type conversion operator. More...

double	getX () const
	Get x position. More...

double	getY () const
	Get y position. More...

double	getZ () const
	Get z position. More...

JVector3D &	negate ()
	Negate vector. More...

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

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

JVector3D &	mul (const double factor)
	Scale vector. More...

JVector3D &	mul (const JSecond_t &object)
	Multiply with object. More...

JVector3D &	div (const double factor)
	Scale vector. More...

JVector3D &	transform (const JMatrix3D &T)
	Transform. More...

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

double	getLengthSquared () const
	Get length squared. More...

double	getLength () const
	Get length. More...

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

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

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

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

Protected Attributes
int	N

double	__x

double	__y

double	__z

Detailed Description

Eigen values in 3D.

Definition at line 24 of file JEigenValues3D.hh.

Constructor & Destructor Documentation

◆ JEigenValues3D()

template<class T >

JGEOMETRY3D::JEigenValues3D::JEigenValues3D	(	T	__begin,
		T	__end
	)

inline

Constructor.

Parameters

__begin	begin of data
__end	end of data

Definition at line 35 of file JEigenValues3D.hh.

                             :
       JVector3D(),
       N(0)
     {
       const JCenter3D center(__begin, __end);
         
       // RMS matrix
         
       TMatrixDSym A(3);
         
       for (int i = 0; i != 3; ++i) {
         for (int j = 0; j != 3; ++j) {
           A(i,j) = 0.0;
         }
       }
         
       for (T i = __begin; i != __end; ++i) {
         
         const double dx = center.getX() - i->getX();
         const double dy = center.getY() - i->getY();
         const double dz = center.getZ() - i->getZ();
           
         A(0,0) += (dx * dx);
         A(0,1) += (dx * dy);
         A(0,2) += (dx * dz);
         
         A(1,1) += (dy * dy);
         A(1,2) += (dy * dz);
         
         A(2,2) += (dz * dz);
       }
       
       A(1,0) = A(0,1);
       A(2,0) = A(0,2);
       A(2,1) = A(1,2);
  
       const TVectorD V = TMatrixDSymEigen(A).GetEigenValues();   // copy!
  
       N = V.GetNoElements();
  
       switch (N) {
  
       case 3:
         __z = V[2];
  
       case 2:
         __y = V[1];
  
       case 1:
         __x = V[0];
         break;
  
       default:
         break;
       }
     }

Member Function Documentation

◆ getN() [1/2]

int JGEOMETRY3D::JEigenValues3D::getN ( ) const

inline

Get number of eigen values.

Returns: number of eigen values

Definition at line 99 of file JEigenValues3D.hh.

     {
       return N;
     }

◆ getN() [2/2]

int JGEOMETRY3D::JEigenValues3D::getN ( double precision ) const

inline

Get number of eigen values with minimal value.

Parameters

precision minimal value

Returns: number of eigen values

Definition at line 111 of file JEigenValues3D.hh.

     {
       int n = 0;
  
       if (fabs(getX()) >= precision) ++n;
       if (fabs(getY()) >= precision) ++n;
       if (fabs(getZ()) >= precision) ++n;
  
       if (n > N)
         return N;
       else
         return n;
     }

◆ operator JVector2D()

JGEOMETRY3D::JVector3D::operator JVector2D ( ) const

inlineinherited

Type conversion operator.

Returns: JVector2D

Definition at line 82 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 93 of file JVector3D.hh.

     { 
       return __x;
     }

◆ getY()

double JGEOMETRY3D::JVector3D::getY ( ) const

inlineinherited

Get y position.

Returns: y position

Definition at line 103 of file JVector3D.hh.

     { 
       return __y;
     }

◆ getZ()

double JGEOMETRY3D::JVector3D::getZ ( ) const

inlineinherited

Get z position.

Returns: z position

Definition at line 114 of file JVector3D.hh.

     { 
       return __z;
     }

◆ negate()

JVector3D& JGEOMETRY3D::JVector3D::negate ( )

inlineinherited

Negate vector.

Returns: this vector

Definition at line 125 of file JVector3D.hh.

     {
       __x = -__x;
       __y = -__y;
       __z = -__z;
  
       return *this;
     }

◆ add()

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

inlineinherited

Add vector.

Parameters

vector vector

Returns: this vector

Definition at line 141 of file JVector3D.hh.

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

◆ sub()

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

inlineinherited

Subtract vector.

Parameters

vector vector

Returns: this vector

Definition at line 157 of file JVector3D.hh.

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

◆ mul() [1/2]

JVector3D& JGEOMETRY3D::JVector3D::mul ( const double factor )

inlineinherited

Scale vector.

Parameters

factor multiplication factor

Returns: this vector

Definition at line 173 of file JVector3D.hh.

     {
       __x *= factor;
       __y *= factor;
       __z *= factor;
  
       return *this;
     }

◆ mul() [2/2]

JVector3D & JMATH::JMath< JVector3D , JSecond_t >::mul ( const JSecond_t & object )

inlineinherited

Multiply with object.

Parameters

object object

Returns: result object

Definition at line 273 of file JMath.hh.

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

◆ div()

JVector3D& JGEOMETRY3D::JVector3D::div ( const double factor )

inlineinherited

Scale vector.

Parameters

factor division factor

Returns: this vector

Definition at line 189 of file JVector3D.hh.

     {
       __x /= factor;
       __y /= factor;
       __z /= factor;
  
       return *this;
     }

◆ transform()

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

inlineinherited

Transform.

Parameters

T matrix

Returns: this vector

Definition at line 205 of file JVector3D.hh.

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

◆ 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 220 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 234 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 245 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 257 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 269 of file JVector3D.hh.

     {
       return sqrt(getDistanceSquared(pos));
     }

◆ getDot()

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

inlineinherited

Get dot product.

Parameters

vector vector

Returns: dot product

Definition at line 281 of file JVector3D.hh.

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

◆ cross()

JVector3D& JGEOMETRY3D::JVector3D::cross	(	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 298 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;
     }

Member Data Documentation

◆ N

int JGEOMETRY3D::JEigenValues3D::N

protected

Definition at line 126 of file JEigenValues3D.hh.

◆ __x

double JGEOMETRY3D::JVector3D::__x

protectedinherited

Definition at line 309 of file JVector3D.hh.

◆ __y

double JGEOMETRY3D::JVector3D::__y

protectedinherited

Definition at line 310 of file JVector3D.hh.

◆ __z

double JGEOMETRY3D::JVector3D::__z

protectedinherited

Definition at line 311 of file JVector3D.hh.

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

JEigenValues3D.hh

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ JEigenValues3D()

Member Function Documentation

◆ getN() [1/2]

◆ getN() [2/2]

◆ operator JVector2D()

◆ getX()

◆ getY()

◆ getZ()

◆ negate()

◆ add()

◆ sub()

◆ mul() [1/2]

◆ mul() [2/2]

◆ div()

◆ transform()

◆ equals()

◆ getLengthSquared()

◆ getLength()

◆ getDistanceSquared()

◆ getDistance()

◆ getDot()

◆ cross()

Member Data Documentation

◆ N

◆ __x

◆ __y

◆ __z