2 x 2 matrix More...

#include <JMatrix2D.hh>

Inheritance diagram for JMATH::JMatrix2D:

Public Member Functions
	JMatrix2D ()
	Default constructor. More...

	JMatrix2D (const double __a00, const double __a01, const double __a10, const double __a11)
	Contructor. 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 &	transpose ()
	Transpose. 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 &	div (const double factor)
	Scale matrix. More...

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

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

Friends
JReader &	operator>> (JReader &in, JMatrix2D &matrix)
	Read matrix from input. More...

JWriter &	operator<< (JWriter &out, const JMatrix2D &matrix)
	Write matrix to output. More...

std::ostream &	operator<< (std::ostream &out, const JMatrix2D &A)
	Print ASCII formatted output. More...

Detailed Description

2 x 2 matrix

Definition at line 32 of file JMath/JMatrix2D.hh.

Constructor & Destructor Documentation

JMATH::JMatrix2D::JMatrix2D ( )

inline

Default constructor.

Definition at line 44 of file JMath/JMatrix2D.hh.

                 :
       a00(0.0), a01(0.0),
       a10(0.0), a11(0.0)
     {}

JMATH::JMatrix2D::JMatrix2D	(	const double	__a00,
		const double	__a01,
		const double	__a10,
		const double	__a11
	)

inline

Contructor.

Parameters

__a00	(0,0)
__a01	(0,1)
__a10	(1,0)
__a11	(1,1)

Definition at line 58 of file JMath/JMatrix2D.hh.

                                                       :
       a00(__a00), a01(__a01),
       a10(__a10), a11(__a11)
     {}

Member Function Documentation

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

inlinestatic

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 ( )

inline

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 ( )

inlinestatic

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 )

inline

Set matrix.

Parameters

A matrix

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

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

JMatrix2D& JMATH::JMatrix2D::reset ( )

inline

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::transpose ( )

inline

Transpose.

Returns: this matrix

Definition at line 134 of file JMath/JMatrix2D.hh.

     {
       using std::swap;
 
       swap(a10, a01);
       
       return *this;
     }

JMatrix2D& JMATH::JMatrix2D::negate ( )

inline

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 )

inline

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 )

inline

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 )

inline

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::div ( const double factor )

inline

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;
     }

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

inline

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;
     }

bool JMATH::JMatrix2D::equals	(	const JMatrix2D &	A,
		const double	eps = `std::numeric_limits<double>::min()`
	)		const

inline

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

inline

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

inline

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

inline

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;
     }

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

inlineinherited

Multiply with object.

Parameters

object object

Returns: result object

Definition at line 357 of file JMath.hh.

     {
       return static_cast<JFirst_t&>(*this) = JCalculator<JFirst_t>::calculator.mul(static_cast<const JFirst_t&>(*this), object);
     }

Friends And Related Function Documentation

JReader& operator>>	(	JReader &	in,
		JMatrix2D &	matrix
	)

friend

Read matrix from input.

Parameters

in	reader
matrix	matrix

Returns: reader

Definition at line 301 of file JMath/JMatrix2D.hh.

     {
       in >> matrix.a00;  in >> matrix.a01;
       in >> matrix.a10;  in >> matrix.a11;
 
       return in;
     }

JWriter& operator<<	(	JWriter &	out,
		const JMatrix2D &	matrix
	)

friend

Write matrix to output.

Parameters

out	writer
matrix	matrix

Returns: writer

Definition at line 317 of file JMath/JMatrix2D.hh.

     {
       out << matrix.a00;  out << matrix.a01;
       out << matrix.a10;  out << matrix.a11;
 
       return out;
     }

std::ostream& operator<<	(	std::ostream &	out,
		const JMatrix2D &	A
	)

friend

Print ASCII formatted output.

Parameters

out	output stream
A	matrix

Returns: output stream

Definition at line 333 of file JMath/JMatrix2D.hh.

     {
       using namespace std;
 
       const JFormat format(out, getFormat<JMatrix2D>(JFormat_t(10, 3, std::ios::fixed | std::ios::showpos)));
 
       out << format << A.a00 << ' ' << format << A.a01 << endl;
       out << format << A.a10 << ' ' << format << A.a11 << endl;
 
       return out;
     }

Member Data Documentation

double JMATH::JMatrix2D::a00

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

double JMATH::JMatrix2D::a01

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

double JMATH::JMatrix2D::a10

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

double JMATH::JMatrix2D::a11

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

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

JMath/JMatrix2D.hh

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation