Rotation around Z-axis. More...

#include <JRotation3D.hh>

Inheritance diagram for JGEOMETRY3D::JRotation3Z:

Public Member Functions
	JRotation3Z ()
	Default constructor (= identity matrix). More...

	JRotation3Z (const double phi)
	Constructor. More...

const JRotation2D &	getRotation () const
	Get rotation. More...

JRotation2D &	transpose ()
	Transpose. More...

JRotation2D &	mul (const JRotation2D &A)
	Matrix multiplication. More...

JMatrix2D &	mul (const double factor)
	Scale matrix. More...

JMatrix2D &	mul (const JMatrix2D &A, const JMatrix2D &B)
	Matrix multiplication. More...

JMatrix2D &	mul (const JNullType &object)
	Multiply with object. More...

void	rotate (double &__x, double &__y) const
	Rotate. More...

void	rotate_back (double &__x, double &__y) const
	Rotate back. More...

JMatrix2D &	setIdentity ()
	Set to identity matrix. More...

void	set (const JMatrix2D &A)
	Set matrix. More...

JMatrix2D &	reset ()
	Set matrix to the null matrix. More...

JMatrix2D &	negate ()
	Negate matrix. More...

JMatrix2D &	add (const JMatrix2D &A)
	Matrix addition. More...

JMatrix2D &	sub (const JMatrix2D &A)
	Matrix subtraction. More...

JMatrix2D &	div (const double factor)
	Scale matrix. More...

bool	equals (const JMatrix2D &A, const double eps=std::numeric_limits< double >::min()) const
	Equality. More...

bool	isIdentity (const double eps=std::numeric_limits< double >::min()) const
	Test identity. More...

double	getDeterminant () const
	Get determinant of matrix. More...

void	transform (double &__x, double &__y) const
	Transform. More...

Static Public Member Functions
static const JMatrix2D &	getInstance ()
	Get reference to unique instance of this class object. More...

static const JMatrix2D &	getIdentity ()
	Get reference to unique instance of this class object. More...

Public Attributes
double	a00

double	a01

double	a10

double	a11

Detailed Description

Rotation around Z-axis.

Definition at line 85 of file JRotation3D.hh.

Constructor & Destructor Documentation

JGEOMETRY3D::JRotation3Z::JRotation3Z ( )

inline

Default constructor (= identity matrix).

Definition at line 92 of file JRotation3D.hh.

                   :
       JRotation2D()
     {}

JGEOMETRY3D::JRotation3Z::JRotation3Z ( const double phi )

inline

Constructor.

Parameters

phi	rotation angle (anti-clock wise) [rad]

Definition at line 102 of file JRotation3D.hh.

                                   :
       JRotation2D(phi)
     {}

Member Function Documentation

const JRotation2D& JGEOMETRY2D::JRotation2D::getRotation ( ) const

inlineinherited

Get rotation.

Returns: rotation

Definition at line 59 of file JRotation2D.hh.

     {
       return static_cast<const JRotation2D&>(*this);
     }

JRotation2D& JGEOMETRY2D::JRotation2D::transpose ( )

inlineinherited

Transpose.

Definition at line 68 of file JRotation2D.hh.

     {
       JMatrix2D::transpose();
 
       return *this;
     }

JRotation2D& JGEOMETRY2D::JRotation2D::mul ( const JRotation2D & A )

inlineinherited

Matrix multiplication.

Parameters

A matrix

Returns: this * A

Definition at line 82 of file JRotation2D.hh.

     {
       JMatrix2D::mul(A);
 
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::mul ( const double factor )

inlineinherited

Scale matrix.

Parameters

factor factor

Returns: this matrix * factor

Definition at line 194 of file JMath/JMatrix2D.hh.

     {
       a00 *= factor; a01 *= factor;
       a10 *= factor; a11 *= factor;
 
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::mul	(	const JMatrix2D &	A,
		const JMatrix2D &	B
	)

inlineinherited

Matrix multiplication.

Parameters

A	matrix
B	matrix

Returns: this matrix

Definition at line 225 of file JMath/JMatrix2D.hh.

     {
       a00 = A.a00 * B.a00  +  A.a01 * B.a10;
       a01 = A.a00 * B.a01  +  A.a01 * B.a11;
       
       a10 = A.a10 * B.a00  +  A.a11 * B.a10;
       a11 = A.a10 * B.a01  +  A.a11 * B.a11;
       
       return *this;
     }

JMatrix2D & JMATH::JMath< JMatrix2D , JNullType >::mul ( const JNullType & 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);
     }

void JGEOMETRY2D::JRotation2D::rotate	(	double &	__x,
		double &	__y
	)		const

inlineinherited

Rotate.

Parameters

__x	x value
__y	y value

Definition at line 96 of file JRotation2D.hh.

     {
       const double x = a00 * __x  +  a01 * __y;
       const double y = a10 * __x  +  a11 * __y;
 
       __x = x;
       __y = y;
     }

void JGEOMETRY2D::JRotation2D::rotate_back	(	double &	__x,
		double &	__y
	)		const

inlineinherited

Rotate back.

Parameters

__x	x value
__y	y value

Definition at line 112 of file JRotation2D.hh.

     {
       const double x = a00 * __x  +  a10 * __y;
       const double y = a01 * __x  +  a11 * __y;
 
       __x = x;
       __y = y;
     }

static const JMatrix2D& JMATH::JMatrix2D::getInstance ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns: zero matrix

Definition at line 70 of file JMath/JMatrix2D.hh.

     {
       static JMatrix2D matrix;
 
       return matrix;
     }

JMatrix2D& JMATH::JMatrix2D::setIdentity ( )

inlineinherited

Set to identity matrix.

Returns: this matrix

Definition at line 83 of file JMath/JMatrix2D.hh.

     {
       a00 = 1.0;  a01 = 0.0;
       a10 = 0.0;  a11 = 1.0;
 
       return *this;
     }

static const JMatrix2D& JMATH::JMatrix2D::getIdentity ( )

inlinestaticinherited

Get reference to unique instance of this class object.

Returns: identity matrix

Definition at line 97 of file JMath/JMatrix2D.hh.

     {
       static JMatrix2D matrix(JMatrix2D().setIdentity());
 
       return matrix;
     }

void JMATH::JMatrix2D::set ( const JMatrix2D & A )

inlineinherited

Set matrix.

Parameters

A matrix

Definition at line 110 of file JMath/JMatrix2D.hh.

     {
       static_cast<JMatrix2D&>(*this) = A;
     }

JMatrix2D& JMATH::JMatrix2D::reset ( )

inlineinherited

Set matrix to the null matrix.

Returns: this matrix

Definition at line 121 of file JMath/JMatrix2D.hh.

     {
       *this = JMatrix2D();
       
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::negate ( )

inlineinherited

Negate matrix.

Returns: -this matrix

Definition at line 149 of file JMath/JMatrix2D.hh.

     {
       a00 = -a00;  a01 = -a01;
       a10 = -a10;  a11 = -a11;
 
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::add ( const JMatrix2D & A )

inlineinherited

Matrix addition.

Parameters

A matrix

Returns: this matrix + A

Definition at line 164 of file JMath/JMatrix2D.hh.

     {
       a00 += A.a00;  a01 += A.a01;
       a10 += A.a10;  a11 += A.a11;
 
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::sub ( const JMatrix2D & A )

inlineinherited

Matrix subtraction.

Parameters

A matrix

Returns: this matrix - A

Definition at line 179 of file JMath/JMatrix2D.hh.

     {
       a00 -= A.a00;  a01 -= A.a01;
       a10 -= A.a10;  a11 -= A.a11;
 
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::div ( const double factor )

inlineinherited

Scale matrix.

Parameters

factor factor

Returns: this matrix / factor

Definition at line 209 of file JMath/JMatrix2D.hh.

     {
       a00 /= factor; a01 /= factor;
       a10 /= factor; a11 /= factor;
 
       return *this;
     }

bool JMATH::JMatrix2D::equals	(	const JMatrix2D &	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 245 of file JMath/JMatrix2D.hh.

     {
       return (fabs(a00 - A.a00) <= eps  &&
               fabs(a01 - A.a01) <= eps  &&
               fabs(a10 - A.a10) <= eps  &&
               fabs(a11 - A.a11) <= eps);
     }

bool JMATH::JMatrix2D::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 261 of file JMath/JMatrix2D.hh.

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

double JMATH::JMatrix2D::getDeterminant ( ) const

inlineinherited

Get determinant of matrix.

Returns: determinant of matrix

Definition at line 272 of file JMath/JMatrix2D.hh.

     {
       return a00 * a11 - a01 * a10;
     }

void JMATH::JMatrix2D::transform	(	double &	__x,
		double &	__y
	)		const

inlineinherited

Transform.

Parameters

__x	x value
__y	y value

Definition at line 284 of file JMath/JMatrix2D.hh.

     {
       const double x = a00 * __x  +  a01 * __y;
       const double y = a10 * __x  +  a11 * __y;
 
       __x = x;
       __y = y;
     }

Member Data Documentation

double JMATH::JMatrix2D::a00

inherited

Definition at line 346 of file JMath/JMatrix2D.hh.

double JMATH::JMatrix2D::a01

inherited

Definition at line 346 of file JMath/JMatrix2D.hh.

double JMATH::JMatrix2D::a10

inherited

Definition at line 347 of file JMath/JMatrix2D.hh.

double JMATH::JMatrix2D::a11

inherited

Definition at line 347 of file JMath/JMatrix2D.hh.

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

JRotation3D.hh

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation