Axis object. More...

#include <JAxis3D.hh>

Inheritance diagram for JGEOMETRY3D::JAxis3D:

Public Member Functions
	JAxis3D ()
	Default constructor. More...

	JAxis3D (const JVector3D &pos, const JVersor3D &dir)
	Constructor. More...

	JAxis3D (const JVector3D &pos, const JVersor3Z &dir)
	Constructor. More...

	JAxis3D (const JSegment3D &segment)
	Constructor. More...

const JAxis3D &	getAxis () const
	Get axis. More...

void	setAxis (const JAxis3D &axis)
	Set axis. More...

JAxis3D &	negate ()
	Negate axis. More...

void	move (const double step)
	Move vertex along this axis. More...

double	getIntersection (const JVector3D &pos) const
	Get longitudinal position along axis of position of closest approach with given position. More...

double	getIntersection (const JAxis3D &axis, const double precision=1.0e-8) const
	Get longitudinal position along axis of position of closest approach with given axis. More...

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

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

JAxis3D &	rotate (const JRotation3D &R)
	Rotate axis. More...

JAxis3D &	rotate_back (const JRotation3D &R)
	Rotate back axis. More...

JAxis3D &	rotate (const JRotation3X &R)
	Rotate around X-axis. More...

JAxis3D &	rotate_back (const JRotation3X &R)
	Rotate back around X-axis. More...

JAxis3D &	rotate (const JRotation3Y &R)
	Rotate around Y-axis. More...

JAxis3D &	rotate_back (const JRotation3Y &R)
	Rotate back around Y-axis. More...

JAxis3D &	rotate (const JRotation3Z &R)
	Rotate around Z-axis. More...

JAxis3D &	rotate_back (const JRotation3Z &R)
	Rotate back around Z-axis. More...

JAxis3D &	rotate (const JQuaternion3D &Q)
	Rotate axis. More...

void	transform (const JAxis3D &axis)
	Transform axis to reference frame of given axis. More...

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

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

void	transform (const JTransformation3D &T)
	Transform axis. More...

void	transform_back (const JTransformation3D &T)
	Transform back axis. More...

const JPosition3D &	getPosition () const
	Get position. More...

JPosition3D &	getPosition ()
	Get position. More...

void	setPosition (const JVector3D &pos)
	Set position. More...

	operator JAngle3D () const
	Type conversion operator. More...

	operator JVersor3D () const
	Type conversion operator. More...

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

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

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

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

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

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

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

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

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

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

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

const JDirection3D &	getDirection () const
	Get direction. More...

JDirection3D &	getDirection ()
	Get direction. More...

void	setDirection (const JDirection3D &dir)
	Set direction. More...

	operator JAngle3D () const
	Type conversion operator. More...

	operator JVector3D () const
	Type conversion operator. More...

JDirection3D &	transform (const JMatrix3D &T)
	Transform. More...

JDirection3D &	rotate_back (const JQuaternion3D &Q)
	Rotate back. More...

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

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

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

double	getDot (const JVersor3D &versor) const
	Get dot product. More...

bool	equals (const JVersor3D &versor, const double precision=std::numeric_limits< double >::min()) const
	Check equality. More...

double	getDX () const
	Get x direction. More...

double	getDY () const
	Get y direction. More...

double	getDZ () const
	Get z direction. More...

double	getTheta () const
	Get theta angle. More...

double	getPhi () const
	Get phi angle. More...

JVersor3D &	getCross (const JVersor3D &first, const JVersor3D &second)
	Get cross product. More...

JVersor3D &	normalise ()
	Normalise versor. More...

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

Protected Attributes
double	__x

double	__y

double	__z

double	__dx

double	__dy

double	__dz

Friends
std::istream &	operator>> (std::istream &in, JAxis3D &axis)
	Read axis from input. More...

std::ostream &	operator<< (std::ostream &out, const JAxis3D &axis)
	Write axis to output. More...

JReader &	operator>> (JReader &in, JAxis3D &axis)
	Read axis from input. More...

JWriter &	operator<< (JWriter &out, const JAxis3D &axis)
	Write axis to output. More...

Detailed Description

Axis object.

An axis object consists of a position and a direction.

Definition at line 38 of file JAxis3D.hh.

Constructor & Destructor Documentation

JGEOMETRY3D::JAxis3D::JAxis3D ( )

inline

Default constructor.

Definition at line 50 of file JAxis3D.hh.

               :
       JPosition3D (),
       JDirection3D()
     {}

JGEOMETRY3D::JAxis3D::JAxis3D	(	const JVector3D &	pos,
		const JVersor3D &	dir
	)

inline

Constructor.

Parameters

pos	position
dir	direction

Definition at line 62 of file JAxis3D.hh.

                                   :
       JPosition3D (pos), 
       JDirection3D(dir)
     {}

JGEOMETRY3D::JAxis3D::JAxis3D	(	const JVector3D &	pos,
		const JVersor3Z &	dir
	)

inline

Constructor.

Parameters

pos	position
dir	direction

Definition at line 75 of file JAxis3D.hh.

                                   :
       JPosition3D (pos), 
       JDirection3D(dir)
     {}

JGEOMETRY3D::JAxis3D::JAxis3D ( const JSegment3D & segment )

inline

Constructor.

Parameters

segment line segment

Definition at line 87 of file JAxis3D.hh.

                                        :
       JPosition3D (segment.first), 
       JDirection3D(segment.second - segment.first)
     {}

Member Function Documentation

const JAxis3D& JGEOMETRY3D::JAxis3D::getAxis ( ) const

inline

Get axis.

Returns: axis

Definition at line 98 of file JAxis3D.hh.

     { 
       return *this; 
     }

void JGEOMETRY3D::JAxis3D::setAxis ( const JAxis3D & axis )

inline

Set axis.

Parameters

axis axis

Definition at line 109 of file JAxis3D.hh.

     { 
       *this = axis; 
     }

JAxis3D& JGEOMETRY3D::JAxis3D::negate ( )

inline

Negate axis.

Returns: this axis

Definition at line 120 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).negate();
       static_cast<JDirection3D&>(*this).negate();
 
       return *this;
     }

void JGEOMETRY3D::JAxis3D::move ( const double step )

inline

Move vertex along this axis.

Parameters

step step

Definition at line 134 of file JAxis3D.hh.

     {
       getPosition() += step * JPosition3D(getDirection());    
     }

double JGEOMETRY3D::JAxis3D::getIntersection ( const JVector3D & pos ) const

inline

Get longitudinal position along axis of position of closest approach with given position.

Parameters

pos position

Returns: longitudinal position

Definition at line 146 of file JAxis3D.hh.

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

double JGEOMETRY3D::JAxis3D::getIntersection	(	const JAxis3D &	axis,
		const double	precision = `1.0e-8`
	)		const

inline

Get longitudinal position along axis of position of closest approach with given axis.

If the axes are paralel, this position corresponds to the vertex of the given axis.

Parameters

axis	axis
precision	precision

Returns: longitudinal position

Definition at line 164 of file JAxis3D.hh.

     {
       JPosition3D  pos(getPosition ());
       JDirection3D dir(getDirection());
       
       const JRotation3D R(axis.getDirection());
      
       // offset this position with position of given axis
  
       pos.sub(axis.getPosition());
 
       // rotate along given axis
       
       pos.rotate(R);
       dir.rotate(R);
       
       // longitudinal position at minimal distance of approach
       
       const double alpha = pos.getX()  * dir.getDX()  +  pos.getY()  * dir.getDY();
       const double beta  = dir.getDX() * dir.getDX()  +  dir.getDY() * dir.getDY();
       
       return (fabs(beta) > precision ? -alpha/beta : -pos.getZ());
     }

double JGEOMETRY3D::JAxis3D::getDistanceSquared ( const JVector3D & pos ) const

inline

Get distance squared.

Parameters

pos position

Returns: square of distance

Definition at line 195 of file JAxis3D.hh.

     {
       JPosition3D D(pos);
 
       D.sub(this->getPosition());
 
       const double dz = D.getDot(this->getDirection());
 
       return D.getLengthSquared() - dz*dz;
     }

double JGEOMETRY3D::JAxis3D::getDistance ( const JVector3D & pos ) const

inline

Get distance.

Parameters

pos osition

Returns: distance

Definition at line 213 of file JAxis3D.hh.

     {
       return sqrt(this->getDistanceSquared(pos));
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3D & R )

inline

Rotate axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 225 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate(R);
       static_cast<JDirection3D&>(*this).rotate(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3D & R )

inline

Rotate back axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 240 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate_back(R);
       static_cast<JDirection3D&>(*this).rotate_back(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3X & R )

inline

Rotate around X-axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 255 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate(R);
       static_cast<JDirection3D&>(*this).rotate(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3X & R )

inline

Rotate back around X-axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 270 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate_back(R);
       static_cast<JDirection3D&>(*this).rotate_back(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Y & R )

inline

Rotate around Y-axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 285 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate(R);
       static_cast<JDirection3D&>(*this).rotate(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Y & R )

inline

Rotate back around Y-axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 300 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate_back(R);
       static_cast<JDirection3D&>(*this).rotate_back(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JRotation3Z & R )

inline

Rotate around Z-axis.

Parameters

R	rotation matrix

Returns: this axis

Definition at line 315 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate(R);
       static_cast<JDirection3D&>(*this).rotate(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate_back ( const JRotation3Z & R )

inline

Rotate back around Z-axis.

Parameters

R	rotation matrix

Returns: his axis

Definition at line 330 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate_back(R);
       static_cast<JDirection3D&>(*this).rotate_back(R);
 
       return *this;
     }

JAxis3D& JGEOMETRY3D::JAxis3D::rotate ( const JQuaternion3D & Q )

inline

Rotate axis.

Parameters

Q	quaternion

Returns: this axis

Definition at line 345 of file JAxis3D.hh.

     {
       static_cast<JPosition3D&> (*this).rotate(Q);
       static_cast<JDirection3D&>(*this).rotate(Q);
 
       return *this;
     }

void JGEOMETRY3D::JAxis3D::transform ( const JAxis3D & axis )

inline

Transform axis to reference frame of given axis.

Parameters

axis axis

Definition at line 359 of file JAxis3D.hh.

     {
       JRotation3D R  (axis.getDirection());
       JPosition3D pos(axis.getPosition ());
 
       transform(R, pos.rotate(R));
     }

void JGEOMETRY3D::JAxis3D::transform	(	const JRotation3D &	R,
		const JVector3D &	pos
	)

inline

Transform axis.

The final position and direction are obtained as follows:

rotation of the position and the direction according rotation matrix (R);
offset position with position of origin in rotated system (pos);
rotation of position and direction around z-axis, such that final position is in x-z plane;

Parameters

R	rotation matrix
pos	position of origin

Definition at line 379 of file JAxis3D.hh.

     {
       JPosition3D&  u = getPosition ();
       JDirection3D& v = getDirection();
 
       // rotate axis to system such that direction is along z-axis
 
       u.rotate(R);
       v.rotate(R);
 
       // offset with respect to origin
 
       u.sub(pos);
 
       // rotate axis to x-z plane such that position is in x-z plane
 
       const double phi = atan2(u.getY(), u.getX());
 
       const JRotation3Z r(-phi);
 
       u.rotate(r);
       v.rotate(r);
     }

void JGEOMETRY3D::JAxis3D::transform_back	(	const JRotation3D &	R,
		const JVector3D &	pos
	)

inline

Transform back axis.

The final position and direction are obtained as follows:

offset position with position pos;
rotation of position and direction according matrix R;

Parameters

R	rotation matrix
pos	position of origin (before rotation)

Definition at line 415 of file JAxis3D.hh.

     {
       JPosition3D&  u = getPosition ();
       JDirection3D& v = getDirection();
 
       // offset with respect to origin
 
       u.add(pos);
 
       // rotate back axis to system with original particle direction
 
       u.rotate_back(R);
       v.rotate_back(R);
     }

void JGEOMETRY3D::JAxis3D::transform ( const JTransformation3D & T )

inline

Transform axis.

Parameters

T	transformation

Definition at line 437 of file JAxis3D.hh.

     {
       transform(T.getRotation(), T.getPosition());
     }

void JGEOMETRY3D::JAxis3D::transform_back ( const JTransformation3D & T )

inline

Transform back axis.

Parameters

T	transformation

Definition at line 448 of file JAxis3D.hh.

     {
       transform_back(T.getRotation(), T.getPosition());
     }

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);
     }

JPosition3D& JGEOMETRY3D::JPosition3D::getPosition ( )

inlineinherited

Get position.

Returns: position

Definition at line 141 of file JPosition3D.hh.

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

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;
     }

JGEOMETRY3D::JPosition3D::operator JAngle3D ( ) const

inlineinherited

Type conversion operator.

Returns: angle

Definition at line 163 of file JPosition3D.hh.

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

JGEOMETRY3D::JPosition3D::operator JVersor3D ( ) const

inlineinherited

Type conversion operator.

Returns: direction

Definition at line 174 of file JPosition3D.hh.

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

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;
     }

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;
     }

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();
     }

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();
     }

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();
     }

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();
     }

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());
     }

double JGEOMETRY3D::JVector3D::getX ( ) const

inlineinherited

Get x position.

Returns: x position

Definition at line 94 of file JVector3D.hh.

     { 
       return __x;
     }

double JGEOMETRY3D::JVector3D::getY ( ) const

inlineinherited

Get y position.

Returns: y position

Definition at line 104 of file JVector3D.hh.

     { 
       return __y;
     }

double JGEOMETRY3D::JVector3D::getZ ( ) const

inlineinherited

Get z position.

Returns: z position

Definition at line 115 of file JVector3D.hh.

     { 
       return __z;
     }

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;
     }

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;
     }

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

inlineinherited

Scale vector.

Parameters

factor multiplication factor

Returns: this vector

Definition at line 174 of file JVector3D.hh.

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

template<class JFirst_t, class JSecond_t = JNullType>

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);
     }

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

inlineinherited

Scale vector.

Parameters

factor division factor

Returns: this vector

Definition at line 190 of file JVector3D.hh.

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

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);
     }

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();
     }

double JGEOMETRY3D::JVector3D::getLength ( ) const

inlineinherited

Get length.

Returns: length

Definition at line 246 of file JVector3D.hh.

     { 
       return sqrt(getLengthSquared());
     }

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;
     }

const JDirection3D& JGEOMETRY3D::JDirection3D::getDirection ( ) const

inlineinherited

Get direction.

Returns: direction

Definition at line 107 of file JDirection3D.hh.

     {
       return static_cast<const JDirection3D&>(*this);
     }

JDirection3D& JGEOMETRY3D::JDirection3D::getDirection ( )

inlineinherited

Get direction.

Returns: direction

Definition at line 118 of file JDirection3D.hh.

     {
       return static_cast<JDirection3D&>(*this);
     }

void JGEOMETRY3D::JDirection3D::setDirection ( const JDirection3D & dir )

inlineinherited

Set direction.

Parameters

dir direction

Definition at line 129 of file JDirection3D.hh.

     {
       static_cast<JDirection3D&>(*this) = dir;
     }

JGEOMETRY3D::JDirection3D::operator JAngle3D ( ) const

inlineinherited

Type conversion operator.

Returns: angle

Definition at line 140 of file JDirection3D.hh.

     {
       return JAngle3D(getDX(), getDY(), getDZ());
     }

JGEOMETRY3D::JDirection3D::operator JVector3D ( ) const

inlineinherited

Type conversion operator.

Returns: position

Definition at line 151 of file JDirection3D.hh.

     {
       return JVector3D(getDX(), getDY(), getDZ());
     }

JDirection3D& JGEOMETRY3D::JDirection3D::transform ( const JMatrix3D & T )

inlineinherited

Transform.

Parameters

T matrix

Returns: this direction

Definition at line 163 of file JDirection3D.hh.

     {
       T.transform(__dx, __dy, __dz);
 
       normalise();
 
       return *this;
     }

JDirection3D& JGEOMETRY3D::JDirection3D::rotate_back ( const JQuaternion3D & Q )

inlineinherited

Rotate back.

Parameters

Q	quaternion

Returns: this position

Definition at line 321 of file JDirection3D.hh.

     {
       Q.rotate_back(__dx, __dy, __dz);
 
       return *this;
     }

double JGEOMETRY3D::JDirection3D::getDot ( const JAngle3D & angle ) const

inlineinherited

Get dot product.

Parameters

angle angle

Returns: dot product

Definition at line 335 of file JDirection3D.hh.

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

double JGEOMETRY3D::JDirection3D::getDot ( const JVector3D & pos ) const

inlineinherited

Get dot product.

Parameters

pos position

Returns: dot product

Definition at line 350 of file JDirection3D.hh.

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

double JGEOMETRY3D::JDirection3D::getDot ( const JVersor3Z & dir ) const

inlineinherited

Get dot product.

Parameters

dir direction

Returns: dot product

Definition at line 365 of file JDirection3D.hh.

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

double JGEOMETRY3D::JVersor3D::getDot ( const JVersor3D & versor ) const

inlineinherited

Get dot product.

Parameters

versor versor

Returns: dot product

Definition at line 156 of file JVersor3D.hh.

     {
       return
         getDX() * versor.getDX() + 
         getDY() * versor.getDY() +
         getDZ() * versor.getDZ();
     }

bool JGEOMETRY3D::JVersor3D::equals	(	const JVersor3D &	versor,
		const double	precision = `std::numeric_limits<double>::min()`
	)		const

inlineinherited

Check equality.

Parameters

versor	versor
precision	precision

Returns: true if versors are equal; else false

Definition at line 81 of file JVersor3D.hh.

     {
       return (fabs(getDX() - versor.getDX()) <= precision &&
               fabs(getDY() - versor.getDY()) <= precision &&
               fabs(getDZ() - versor.getDZ()) <= precision);
     }

double JGEOMETRY3D::JVersor3D::getDX ( ) const

inlineinherited

Get x direction.

Returns: x direction

Definition at line 95 of file JVersor3D.hh.

     {
       return __dx;
     }

double JGEOMETRY3D::JVersor3D::getDY ( ) const

inlineinherited

Get y direction.

Returns: y direction

Definition at line 106 of file JVersor3D.hh.

     {
       return __dy;
     }

double JGEOMETRY3D::JVersor3D::getDZ ( ) const

inlineinherited

Get z direction.

Returns: z direction

Definition at line 117 of file JVersor3D.hh.

     {
       return __dz;
     }

double JGEOMETRY3D::JVersor3D::getTheta ( ) const

inlineinherited

Get theta angle.

Returns: theta angle [rad]

Definition at line 128 of file JVersor3D.hh.

     {
       if      (__dz > +1.0)
         return 0.0;
       else if (__dz < -1.0)
         return JMATH::PI;
       else
         return acos(__dz);
     }

double JGEOMETRY3D::JVersor3D::getPhi ( ) const

inlineinherited

Get phi angle.

Returns: phi angle [rad]

Definition at line 144 of file JVersor3D.hh.

     { 
       return atan2(__dy, __dx);
     }

JVersor3D& JGEOMETRY3D::JVersor3D::getCross	(	const JVersor3D &	first,
		const JVersor3D &	second
	)

inlineinherited

Get cross product.

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

Parameters

first	first versor
second	second versor

Returns: this versor

Definition at line 173 of file JVersor3D.hh.

     {
       __dx = first .getDY() * second.getDZ()  -  second.getDY() * first .getDZ();
       __dy = second.getDX() * first .getDZ()  -  first .getDX() * second.getDZ();
       __dz = first .getDX() * second.getDY()  -  second.getDX() * first .getDY();
 
       normalise();
 
       return *this;
     }

JVersor3D& JGEOMETRY3D::JVersor3D::normalise ( )

inlineinherited

Normalise versor.

This operation may set the result to the unit z-vector.

Returns: this versor

Definition at line 192 of file JVersor3D.hh.

     {
       const double v = sqrt(getDX()*getDX() + getDY()*getDY() + getDZ()*getDZ());
 
       if (v != 0.0) {
         __dx /= v;
         __dy /= v;
         __dz /= v;
       }
 
       return *this;
     }

template<class JFirst_t, class JSecond_t = JNullType>

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);
     }

Friends And Related Function Documentation

std::istream& operator>>	(	std::istream &	in,
		JAxis3D &	axis
	)

friend

Read axis from input.

Parameters

in	input stream
axis	axis

Returns: input stream

Definition at line 461 of file JAxis3D.hh.

     {
       in >> static_cast<JPosition3D&> (axis);
       in >> static_cast<JDirection3D&>(axis);
 
       return in;
     }

std::ostream& operator<<	(	std::ostream &	out,
		const JAxis3D &	axis
	)

friend

Write axis to output.

Parameters

out	output stream
axis	axis

Returns: output stream

Definition at line 477 of file JAxis3D.hh.

     {
       out << static_cast<const JPosition3D&> (axis);
       out << ' ';
       out << static_cast<const JDirection3D&>(axis);
 
       return out;
     }

JReader& operator>>	(	JReader &	in,
		JAxis3D &	axis
	)

friend

Read axis from input.

Parameters

in	reader
axis	axis

Returns: reader

Definition at line 494 of file JAxis3D.hh.

     {
       in >> static_cast<JPosition3D&> (axis);
       in >> static_cast<JDirection3D&>(axis);
 
       return in;
     }

JWriter& operator<<	(	JWriter &	out,
		const JAxis3D &	axis
	)

friend

Write axis to output.

Parameters

out	writer
axis	axis

Returns: writer

Definition at line 510 of file JAxis3D.hh.

     {
       out << static_cast<const JPosition3D&> (axis);
       out << static_cast<const JDirection3D&>(axis);
 
       return out;
     }

Member Data Documentation

double JGEOMETRY3D::JVector3D::__x

protectedinherited

Definition at line 310 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__y

protectedinherited

Definition at line 311 of file JVector3D.hh.

double JGEOMETRY3D::JVector3D::__z

protectedinherited

Definition at line 312 of file JVector3D.hh.

double JGEOMETRY3D::JVersor3D::__dx

protectedinherited

Definition at line 206 of file JVersor3D.hh.

double JGEOMETRY3D::JVersor3D::__dy

protectedinherited

Definition at line 207 of file JVersor3D.hh.

double JGEOMETRY3D::JVersor3D::__dz

protectedinherited

Definition at line 208 of file JVersor3D.hh.

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

JAxis3D.hh

Public Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation