JGEOMETRY3D::JTransformation3D Struct Reference

Transformation. More...

#include <JTransformation3D.hh>

Inheritance diagram for JGEOMETRY3D::JTransformation3D:

Public Member Functions
	JTransformation3D (const JPosition3D &pos, const JDirection3D &dir)
	Constructor.
JPosition3D	transform (const JPosition3D &pos) const
	Transform position.
JPosition3D	transform_back (const JPosition3D &pos) const
	Transform back position.
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.
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.
	operator JVector2D () const
	Type conversion operator.
double	getX () const
	Get x position.
double	getY () const
	Get y position.
double	getZ () const
	Get z position.
JVector3D &	negate ()
	Negate vector.
JVector3D &	add (const JVector3D &vector)
	Add vector.
JVector3D &	sub (const JVector3D &vector)
	Subtract vector.
JVector3D &	mul (const double factor)
	Scale vector.
JFirst_t &	mul (const JSecond_t &object)
	Multiply with object.
JVector3D &	div (const double factor)
	Scale vector.
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.
const JRotation3D &	getRotation () const
	Get rotation.
	operator JQuaternion3D () const
	Type conversion operator.
JRotation3D &	transpose ()
	Transpose.
JRotation3D &	mul (const JRotation3D &A, const JRotation3D &B)
	Matrix multiplication.
JMatrix3D &	mul (const double factor)
	Scale matrix.
JMatrix3D &	mul (const JMatrix3D &A, const JMatrix3D &B)
	Matrix multiplication.
JMatrix3D &	mul (const JSecond_t &object)
	Multiply with object.
JFirst_t &	mul (const JSecond_t &object)
	Multiply with object.
void	rotate (double &__x, double &__y, double &__z) const
	Rotate.
void	rotate_back (double &__x, double &__y, double &__z) const
	Rotate back.
JMatrix3D &	setIdentity ()
	Set to identity matrix.
void	set (const JMatrix3D &A)
	Set matrix.
JMatrix3D &	reset ()
	Set matrix to the null matrix.
JMatrix3D &	negate ()
	Negate matrix.
JMatrix3D &	add (const JMatrix3D &A)
	Matrix addition.
JMatrix3D &	sub (const JMatrix3D &A)
	Matrix subtraction.
JMatrix3D &	div (const double factor)
	Scale matrix.
bool	equals (const JMatrix3D &A, const double eps=std::numeric_limits< double >::min()) const
	Equality.
bool	isIdentity (const double eps=std::numeric_limits< double >::min()) const
	Test identity.
double	getDeterminant () const
	Get determinant of matrix.
void	transform (double &__x, double &__y, double &__z) const
	Transform.

Static Public Member Functions
static const JMatrix3D &	getInstance ()
	Get reference to unique instance of this class object.
static const JMatrix3D &	getIdentity ()
	Get reference to unique instance of this class object.

Public Attributes
double	a00
double	a01
double	a02
double	a10
double	a11
double	a12
double	a20
double	a21
double	a22

Protected Attributes
double	__x
double	__y
double	__z

Detailed Description

Transformation.

This class defines the transformation of the coordinate system such that the z-axis is along the given direction with the origin at the given position.

Definition at line 24 of file JTransformation3D.hh.

Constructor & Destructor Documentation

JTransformation3D()

JGEOMETRY3D::JTransformation3D::JTransformation3D ( const JPosition3D & pos, const JDirection3D & dir )

inline

Constructor.

Parameters

pos	position
dir	direction

Definition at line 34 of file JTransformation3D.hh.

                                               :
      JPosition3D(pos),
      JRotation3D(dir)
    {
      this->getPosition().rotate(this->getRotation());
    }

Member Function Documentation

transform() [1/4]

JPosition3D JGEOMETRY3D::JTransformation3D::transform ( const JPosition3D & pos ) const

inline

Transform position.

Parameters

pos

position

Returns

position

Definition at line 49 of file JTransformation3D.hh.

    {
      JPosition3D abc(pos);
      
      abc.transform(this->getRotation(), this->getPosition());
      
      return abc;
    }

transform_back() [1/2]

JPosition3D JGEOMETRY3D::JTransformation3D::transform_back ( const JPosition3D & pos ) const

inline

Transform back position.

Parameters

pos

position

Returns

position

Definition at line 65 of file JTransformation3D.hh.

    {
      JPosition3D abc(pos);
      
      abc.transform_back(this->getRotation(), this->getPosition());
      
      return abc;
    }

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() [1/6]

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() [2/6]

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() [3/6]

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() [4/6]

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() [5/6]

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() [1/6]

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() [2/6]

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() [3/6]

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() [4/6]

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() [5/6]

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() [2/4]

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

inlineinherited

Transform position.

The final position is obtained as follows:

1. rotation of the position according matrix R;
2. offset position with pos;
3. 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() [3/4]

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() [2/2]

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

inlineinherited

Transform back position.

The final position is obtained as follows:

1. offset position with position pos;
2. 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);
    }

getDot() [1/4]

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() [2/4]

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() [3/4]

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() [4/4]

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();
    }

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;
    }

negate() [1/2]

JVector3D & JGEOMETRY3D::JVector3D::negate ( )

inlineinherited

Negate vector.

Returns

this vector

Definition at line 126 of file JVector3D.hh.

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

add() [1/2]

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() [1/2]

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() [1/7]

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;
    }

mul() [2/7]

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() [1/2]

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;
    }

equals() [1/2]

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;
    }

getRotation()

const JRotation3D & JGEOMETRY3D::JRotation3D::getRotation ( ) const

inlineinherited

Get rotation.

Returns

rotation

Definition at line 272 of file JRotation3D.hh.

    {
      return static_cast<const JRotation3D&>(*this);
    }

operator JQuaternion3D()

JGEOMETRY3D::JRotation3D::operator JQuaternion3D ( ) const

inlineinherited

Type conversion operator.

Returns

quaternion

Definition at line 283 of file JRotation3D.hh.

    {
      const double q2 = 0.25 * (1.0 + a00 + a11 + a22);
 
      if (q2 > 0.0) {
 
        const double a =  sqrt(q2);
        const double w =  0.25 / a;
        const double b = (a21 - a12) * w;
        const double c = (a02 - a20) * w;
        const double d = (a10 - a01) * w;
        
        return JQuaternion3D(a,b,c,d).normalise();
      }
 
      return JQuaternion3D(1.0, 0.0, 0.0, 0.0);
    }

transpose()

JRotation3D & JGEOMETRY3D::JRotation3D::transpose ( )

inlineinherited

Transpose.

Definition at line 305 of file JRotation3D.hh.

    {
      static_cast<JMatrix3D&>(*this).transpose();
 
      return *this;
    }

mul() [3/7]

JRotation3D & JGEOMETRY3D::JRotation3D::mul ( const JRotation3D & A, const JRotation3D & B )

inlineinherited

Matrix multiplication.

Parameters

A	matrix
B	matrix

Returns

this matrix

Definition at line 320 of file JRotation3D.hh.

    {
      static_cast<JMatrix3D&>(*this).mul(A, B);
 
      return *this;
    }      

mul() [4/7]

JMatrix3D & JMATH::JMatrix3D::mul ( const double factor )

inlineinherited

Scale matrix.

Parameters

factor

factor

Returns

this matrix * factor

Definition at line 208 of file JMath/JMatrix3D.hh.

    {
      a00 *= factor; a01 *= factor; a02 *= factor;
      a10 *= factor; a11 *= factor; a12 *= factor;
      a20 *= factor; a21 *= factor; a22 *= factor;
 
      return *this;
    }

mul() [5/7]

JMatrix3D & JMATH::JMatrix3D::mul ( const JMatrix3D & A, const JMatrix3D & B )

inlineinherited

Matrix multiplication.

Parameters

A	matrix
B	matrix

Returns

this matrix

Definition at line 241 of file JMath/JMatrix3D.hh.

    {
      a00 = A.a00 * B.a00  +  A.a01 * B.a10  +  A.a02 * B.a20;
      a01 = A.a00 * B.a01  +  A.a01 * B.a11  +  A.a02 * B.a21;
      a02 = A.a00 * B.a02  +  A.a01 * B.a12  +  A.a02 * B.a22;
      
      a10 = A.a10 * B.a00  +  A.a11 * B.a10  +  A.a12 * B.a20;
      a11 = A.a10 * B.a01  +  A.a11 * B.a11  +  A.a12 * B.a21;
      a12 = A.a10 * B.a02  +  A.a11 * B.a12  +  A.a12 * B.a22;
      
      a20 = A.a20 * B.a00  +  A.a21 * B.a10  +  A.a22 * B.a20;
      a21 = A.a20 * B.a01  +  A.a21 * B.a11  +  A.a22 * B.a21;
      a22 = A.a20 * B.a02  +  A.a21 * B.a12  +  A.a22 * B.a22;
      
      return *this;
    }

mul() [6/7]

JMatrix3D & JMATH::JMath< JMatrix3D, 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() [7/7]

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);
    }

rotate() [6/6]

void JGEOMETRY3D::JRotation3D::rotate ( double & __x, double & __y, double & __z ) const

inlineinherited

Rotate.

Parameters

__x	x value
__y	y value
__z	z value

Definition at line 336 of file JRotation3D.hh.

    {
      const double x = a00 * __x  +  a01 * __y  +  a02 * __z;
      const double y = a10 * __x  +  a11 * __y  +  a12 * __z;
      const double z = a20 * __x  +  a21 * __y  +  a22 * __z;
 
      __x = x;
      __y = y;
      __z = z;
    }

rotate_back() [6/6]

void JGEOMETRY3D::JRotation3D::rotate_back ( double & __x, double & __y, double & __z ) const

inlineinherited

Rotate back.

Parameters

__x	x value
__y	y value
__z	z value

Definition at line 355 of file JRotation3D.hh.

    {
      const double x = a00 * __x  +  a10 * __y  +  a20 * __z;
      const double y = a01 * __x  +  a11 * __y  +  a21 * __z;
      const double z = a02 * __x  +  a12 * __y  +  a22 * __z;
 
      __x = x;
      __y = y;
      __z = z;
    }

getInstance()

static const JMatrix3D & JMATH::JMatrix3D::getInstance ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns

zero matrix

Definition at line 78 of file JMath/JMatrix3D.hh.

    {
      static JMatrix3D matrix;
 
      return matrix;
    }

setIdentity()

JMatrix3D & JMATH::JMatrix3D::setIdentity ( )

inlineinherited

Set to identity matrix.

Returns

this matrix

Definition at line 91 of file JMath/JMatrix3D.hh.

    {
      a00 = 1.0;  a01 = 0.0;  a02 = 0.0;
      a10 = 0.0;  a11 = 1.0;  a12 = 0.0;
      a20 = 0.0;  a21 = 0.0;  a22 = 1.0;
 
      return *this;
    }

getIdentity()

static const JMatrix3D & JMATH::JMatrix3D::getIdentity ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns

identity matrix

Definition at line 106 of file JMath/JMatrix3D.hh.

    {
      static JMatrix3D matrix(JMatrix3D().setIdentity());
 
      return matrix;
    }

set()

void JMATH::JMatrix3D::set ( const JMatrix3D & A )

inlineinherited

Set matrix.

Parameters

A

matrix

Definition at line 119 of file JMath/JMatrix3D.hh.

    {
      static_cast<JMatrix3D&>(*this) = A;
    }

reset()

JMatrix3D & JMATH::JMatrix3D::reset ( )

inlineinherited

Set matrix to the null matrix.

Returns

this matrix

Definition at line 130 of file JMath/JMatrix3D.hh.

    {
      *this = JMatrix3D();
 
      return *this;
    }

negate() [2/2]

JMatrix3D & JMATH::JMatrix3D::negate ( )

inlineinherited

Negate matrix.

Returns

-this matrix

Definition at line 160 of file JMath/JMatrix3D.hh.

    {
      a00 = -a00;  a01 = -a01;  a02 = -a02;
      a10 = -a10;  a11 = -a11;  a12 = -a12;
      a20 = -a20;  a21 = -a21;  a22 = -a22;
 
      return *this;
    }

add() [2/2]

JMatrix3D & JMATH::JMatrix3D::add ( const JMatrix3D & A )

inlineinherited

Matrix addition.

Parameters

A

matrix

Returns

this matrix + A

Definition at line 176 of file JMath/JMatrix3D.hh.

    {
      a00 += A.a00;  a01 += A.a01;  a02 += A.a02;
      a10 += A.a10;  a11 += A.a11;  a12 += A.a12;
      a20 += A.a20;  a21 += A.a21;  a22 += A.a22;
  
      return *this;
    }

sub() [2/2]

JMatrix3D & JMATH::JMatrix3D::sub ( const JMatrix3D & A )

inlineinherited

Matrix subtraction.

Parameters

A

matrix

Returns

this matrix - A

Definition at line 192 of file JMath/JMatrix3D.hh.

    {
      a00 -= A.a00;  a01 -= A.a01;  a02 -= A.a02;
      a10 -= A.a10;  a11 -= A.a11;  a12 -= A.a12;
      a20 -= A.a20;  a21 -= A.a21;  a22 -= A.a22;
  
      return *this;
    }

div() [2/2]

JMatrix3D & JMATH::JMatrix3D::div ( const double factor )

inlineinherited

Scale matrix.

Parameters

factor

factor

Returns

this matrix / factor

Definition at line 224 of file JMath/JMatrix3D.hh.

    {
      a00 /= factor; a01 /= factor; a02 /= factor;
      a10 /= factor; a11 /= factor; a12 /= factor;
      a20 /= factor; a21 /= factor; a22 /= factor;
 
      return *this;
    }

equals() [2/2]

bool JMATH::JMatrix3D::equals ( const JMatrix3D & A, const double eps = std::numeric_limits<double>::min() ) const

inlineinherited

Equality.

Parameters

A	matrix
eps	numerical precision

Returns

true if matrices identical; else false

Definition at line 267 of file JMath/JMatrix3D.hh.

    {
      return (fabs(a00 - A.a00) <= eps  &&
              fabs(a01 - A.a01) <= eps  &&
              fabs(a02 - A.a02) <= eps  &&
              fabs(a10 - A.a10) <= eps  &&
              fabs(a11 - A.a11) <= eps  &&
              fabs(a12 - A.a12) <= eps  &&
              fabs(a20 - A.a20) <= eps  &&
              fabs(a21 - A.a21) <= eps  &&
              fabs(a22 - A.a22) <= eps);
    }

isIdentity()

bool JMATH::JMatrix3D::isIdentity ( const double eps = std::numeric_limits<double>::min() ) const

inlineinherited

Test identity.

Parameters

eps	numerical precision

Returns

true if identity matrix; else false

Definition at line 288 of file JMath/JMatrix3D.hh.

    {
      return equals(getIdentity(), eps);
    }

getDeterminant()

double JMATH::JMatrix3D::getDeterminant ( ) const

inlineinherited

Get determinant of matrix.

Returns

determinant of matrix

Definition at line 299 of file JMath/JMatrix3D.hh.

    {
      double det = 0.0;
 
      det += a00 * (a11 * a22 - a21 * a12);
      det -= a01 * (a10 * a22 - a20 * a12);
      det += a02 * (a10 * a21 - a20 * a11);
 
      return det;
    }

transform() [4/4]

void JMATH::JMatrix3D::transform ( double & __x, double & __y, double & __z ) const

inlineinherited

Transform.

Parameters

__x	x value
__y	y value
__z	z value

Definition at line 318 of file JMath/JMatrix3D.hh.

    {
      const double x = a00 * __x  +  a01 * __y  +  a02 * __z;
      const double y = a10 * __x  +  a11 * __y  +  a12 * __z;
      const double z = a20 * __x  +  a21 * __y  +  a22 * __z;
 
      __x = x;
      __y = y;
      __z = z;
    }

Member Data Documentation

__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.

a00

double JMATH::JMatrix3D::a00

inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

a01

double JMATH::JMatrix3D::a01

inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

a02

double JMATH::JMatrix3D::a02

inherited

Definition at line 385 of file JMath/JMatrix3D.hh.

a10

double JMATH::JMatrix3D::a10

inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

a11

double JMATH::JMatrix3D::a11

inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

a12

double JMATH::JMatrix3D::a12

inherited

Definition at line 386 of file JMath/JMatrix3D.hh.

a20

double JMATH::JMatrix3D::a20

inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

a21

double JMATH::JMatrix3D::a21

inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

a22

double JMATH::JMatrix3D::a22

inherited

Definition at line 387 of file JMath/JMatrix3D.hh.

---

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

• JTransformation3D.hh