2 x 2 symmetric matrix More...

#include <JMatrix2S.hh>

Inheritance diagram for JMATH::JMatrix2S:

Public Member Functions
	JMatrix2S ()
	Default constructor. More...

	JMatrix2S (const JMatrix2D &A)
	Contructor. More...

	JMatrix2S (const double __a00, const double __a10, const double __a11)
	Contructor. More...

void	invert ()
	Invert matrix. 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 &	mul (const JMatrix2D &A, const JMatrix2D &B)
	Matrix multiplication. More...

JMatrix2D &	mul (const JSecond_t &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

2 x 2 symmetric matrix

Definition at line 26 of file JMatrix2S.hh.

Constructor & Destructor Documentation

◆ JMatrix2S() [1/3]

JMATH::JMatrix2S::JMatrix2S ( )

inline

Default constructor.

Definition at line 33 of file JMatrix2S.hh.

                 :
       JMatrix2D()
     {}

◆ JMatrix2S() [2/3]

JMATH::JMatrix2S::JMatrix2S ( const JMatrix2D & A )

inline

Contructor.

Parameters

A matrix

Definition at line 43 of file JMatrix2S.hh.

                                   :
       JMatrix2D(A)
     {}

◆ JMatrix2S() [3/3]

JMATH::JMatrix2S::JMatrix2S	(	const double	__a00,
		const double	__a10,
		const double	__a11
	)

inline

Contructor.

The upper triangle is internally set.

Parameters

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

Definition at line 56 of file JMatrix2S.hh.

                                                       :
       JMatrix2D(__a00, __a10,
                 __a10, __a11)
     {}

Member Function Documentation

◆ invert()

void JMATH::JMatrix2S::invert ( )

inline

Invert matrix.

Definition at line 66 of file JMatrix2S.hh.

     {
       using std::swap;
  
       // LDU decomposition
  
       int    p0 = 0; // permute row 0
  
       double val;
  
       val = a00;
  
       if (fabs(a10) > fabs(val)) {
       
         p0  = 1;
         val = a10;
  
         swap(a00,a10);
         swap(a01,a11);
       }
  
       if (val == 0) {
         throw JDivisionByZero("LDU decomposition zero pivot");
       }
  
       a10 /= val;
       a11 -= a10 * a01;
  
       // invert D
  
       if (a11 == 0) {
         throw JDivisionByZero("D matrix not invertable");
       }
  
       a00  = 1.0 / a00;
       a11  = 1.0 / a11;
  
       // invert U
  
       a01 *= -a00;
       a01 *=  a11;
  
       // invert L
  
       a10  = -a10;
  
       // U^-1 x L^-1
  
       a00 += a01 * a10;
       a10 *= a11;
  
       switch (p0) {
  
       case 1:
         swap(a00,a01);
         swap(a10,a11);
         break;
       }
     }

◆ 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;
     }

◆ transpose()

JMatrix2D& JMATH::JMatrix2D::transpose ( )

inlineinherited

Transpose.

Returns: this matrix

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

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

◆ mul() [1/3]

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() [2/3]

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() [3/3]

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

inlineinherited

Multiply with object.

Parameters

object object

Returns: result object

Definition at line 273 of file JMath.hh.

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

◆ 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:

JMatrix2S.hh

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ JMatrix2S() [1/3]

◆ JMatrix2S() [2/3]

◆ JMatrix2S() [3/3]

Member Function Documentation

◆ invert()

◆ getInstance()

◆ setIdentity()

◆ getIdentity()

◆ set()

◆ reset()

◆ transpose()

◆ negate()

◆ add()

◆ sub()

◆ mul() [1/3]

◆ mul() [2/3]

◆ mul() [3/3]

◆ div()

◆ equals()

◆ isIdentity()

◆ getDeterminant()

◆ transform()

Member Data Documentation

◆ a00

◆ a01

◆ a10

◆ a11