Rotation matrix. More...

#include <JRotation2D.hh>

Inheritance diagram for JGEOMETRY2D::JRotation2D:

Public Member Functions
	JRotation2D ()
	Default constructor (= identity matrix). More...

	JRotation2D (const JAngle2D &dir)
	Constructor. More...

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

JRotation2D &	transpose ()
	Transpose. More...

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

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 matrix.

Definition at line 23 of file JRotation2D.hh.

Constructor & Destructor Documentation

JGEOMETRY2D::JRotation2D::JRotation2D ( )

inline

Default constructor (= identity matrix).

Definition at line 30 of file JRotation2D.hh.

                   :
       JMatrix2D()
     {
       setIdentity();
     }

JGEOMETRY2D::JRotation2D::JRotation2D ( const JAngle2D & dir )

inline

Constructor.

The rotation is around the origin and anti-clockwise.

Parameters

dir direction

Definition at line 43 of file JRotation2D.hh.

                                      :
       JMatrix2D()
     {
       const double cp = cos(dir.getPhi());
       const double sp = sin(dir.getPhi());
 
       a00 = cp;  a01 = -sp;
       a10 = sp;  a11 =  cp;
     }

Member Function Documentation

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

inline

Get rotation.

Returns: rotation

Definition at line 59 of file JRotation2D.hh.

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

JRotation2D& JGEOMETRY2D::JRotation2D::transpose ( )

inline

Transpose.

Definition at line 68 of file JRotation2D.hh.

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

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

inline

Matrix multiplication.

Parameters

A matrix

Returns: this * A

Definition at line 82 of file JRotation2D.hh.

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

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

inline

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

inline

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::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);
     }

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:

JRotation2D.hh

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation