Rotation around Z-axis. More...

#include <JRotation3D.hh>

Inheritance diagram for JGEOMETRY3D::JRotation3Z:

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

	JRotation3Z (const double phi)
	Constructor.

const JRotation2D &	getRotation () const
	Get rotation.

JRotation2D &	transpose ()
	Transpose.

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

JMatrix2D &	mul (const double factor)
	Scale matrix.

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

JMatrix2D &	mul (const JSecond_t &object)
	Multiply with object.

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

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

JMatrix2D &	setIdentity ()
	Set to identity matrix.

void	set (const JMatrix2D &A)
	Set matrix.

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

JMatrix2D &	negate ()
	Negate matrix.

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

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

JMatrix2D &	div (const double factor)
	Scale matrix.

bool	equals (const JMatrix2D &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) const
	Transform.

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

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

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

◆ JRotation3Z() [1/2]

JGEOMETRY3D::JRotation3Z::JRotation3Z ( )

inline

Default constructor (= identity matrix).

Definition at line 92 of file JRotation3D.hh.

                  :
      JRotation2D()
    {}

◆ JRotation3Z() [2/2]

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

◆ getRotation()

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);
    }

◆ transpose()

JRotation2D & JGEOMETRY2D::JRotation2D::transpose ( )

inlineinherited

Transpose.

Definition at line 68 of file JRotation2D.hh.

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

◆ mul() [1/4]

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;
    }

◆ mul() [2/4]

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;
    }

◆ mul() [3/4]

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;
    }

◆ mul() [4/4]

JMatrix2D & JMATH::JMath< JMatrix2D, 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()

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;
    }

◆ rotate_back()

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;
    }

◆ getInstance()

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;
    }

◆ setIdentity()

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;
    }

◆ getIdentity()

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;
    }

◆ set()

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;
    }

◆ reset()

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;
    }

◆ negate()

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;
    }

◆ add()

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;
    }

◆ sub()

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;
    }

◆ div()

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;
    }

◆ equals()

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);
    }

◆ isIdentity()

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);
    }

◆ getDeterminant()

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;
    }

◆ transform()

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

◆ a00

double JMATH::JMatrix2D::a00

inherited

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

◆ a01

double JMATH::JMatrix2D::a01

inherited

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

◆ a10

double JMATH::JMatrix2D::a10

inherited

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

◆ a11

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

◆ JRotation3Z() [1/2]

◆ JRotation3Z() [2/2]

Member Function Documentation

◆ getRotation()

◆ transpose()

◆ mul() [1/4]

◆ mul() [2/4]

◆ mul() [3/4]

◆ mul() [4/4]

◆ rotate()

◆ rotate_back()

◆ getInstance()

◆ setIdentity()

◆ getIdentity()

◆ set()

◆ reset()

◆ negate()

◆ add()

◆ sub()

◆ div()

◆ equals()

◆ isIdentity()

◆ getDeterminant()

◆ transform()

Member Data Documentation

◆ a00

◆ a01

◆ a10

◆ a11