3 x 3 matrix More...

#include <JMatrix3D.hh>

Inheritance diagram for JMATH::JMatrix3D:

Public Member Functions
	JMatrix3D ()
	Default constructor.

	JMatrix3D (const double __a00, const double __a01, const double __a02, const double __a10, const double __a11, const double __a12, const double __a20, const double __a21, const double __a22)
	Contructor.

JMatrix3D &	setIdentity ()
	Set to identity matrix.

void	set (const JMatrix3D &A)
	Set matrix.

JMatrix3D &	reset ()
	Set matrix to the null matrix.

JMatrix3D &	transpose ()
	Transpose.

JMatrix3D &	negate ()
	Negate matrix.

JMatrix3D &	add (const JMatrix3D &A)
	Matrix addition.

JMatrix3D &	sub (const JMatrix3D &A)
	Matrix subtraction.

JMatrix3D &	mul (const double factor)
	Scale matrix.

JMatrix3D &	div (const double factor)
	Scale matrix.

JMatrix3D &	mul (const JMatrix3D &A, const JMatrix3D &B)
	Matrix multiplication.

bool	equals (const JMatrix3D &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, double &__z) const
	Transform.

JMatrix3D &	mul (const JSecond_t &object)
	Multiply with object.

Static Public Member Functions
static const JMatrix3D &	getInstance ()
	Get reference to unique instance of this class object.

static const JMatrix3D &	getIdentity ()
	Get reference to unique instance of this class object.

Public Attributes
double	a00

double	a01

double	a02

double	a10

double	a11

double	a12

double	a20

double	a21

double	a22

Friends
JReader &	operator>> (JReader &in, JMatrix3D &matrix)
	Read matrix from input.

JWriter &	operator<< (JWriter &out, const JMatrix3D &matrix)
	Write matrix to output.

std::ostream &	operator<< (std::ostream &out, const JMatrix3D &A)
	Print ASCII formatted output.

Detailed Description

3 x 3 matrix

Definition at line 32 of file JMath/JMatrix3D.hh.

Constructor & Destructor Documentation

◆ JMatrix3D() [1/2]

JMATH::JMatrix3D::JMatrix3D ( )

inline

Default constructor.

Definition at line 44 of file JMath/JMatrix3D.hh.

                :
      a00(0.0), a01(0.0), a02(0.0),
      a10(0.0), a11(0.0), a12(0.0),
      a20(0.0), a21(0.0), a22(0.0)
    {}

◆ JMatrix3D() [2/2]

JMATH::JMatrix3D::JMatrix3D	(	const double	__a00,
		const double	__a01,
		const double	__a02,
		const double	__a10,
		const double	__a11,
		const double	__a12,
		const double	__a20,
		const double	__a21,
		const double	__a22 )

inline

Contructor.

Parameters

__a00	(0,0)
__a01	(0,1)
__a02	(0,2)
__a10	(1,0)
__a11	(1,1)
__a12	(1,2)
__a20	(2,0)
__a21	(2,1)
__a22	(2,2)

Definition at line 64 of file JMath/JMatrix3D.hh.

                                                                          :
      a00(__a00), a01(__a01), a02(__a02),
      a10(__a10), a11(__a11), a12(__a12),
      a20(__a20), a21(__a21), a22(__a22)
    {}

Member Function Documentation

◆ getInstance()

static const JMatrix3D & JMATH::JMatrix3D::getInstance ( )

inlinestatic

Get reference to unique instance of this class object.

Returns: zero matrix

Definition at line 78 of file JMath/JMatrix3D.hh.

    {
      static JMatrix3D matrix;
 
      return matrix;
    }

◆ setIdentity()

JMatrix3D & JMATH::JMatrix3D::setIdentity ( )

inline

Set to identity matrix.

Returns: this matrix

Definition at line 91 of file JMath/JMatrix3D.hh.

    {
      a00 = 1.0;  a01 = 0.0;  a02 = 0.0;
      a10 = 0.0;  a11 = 1.0;  a12 = 0.0;
      a20 = 0.0;  a21 = 0.0;  a22 = 1.0;
 
      return *this;
    }

◆ getIdentity()

static const JMatrix3D & JMATH::JMatrix3D::getIdentity ( )

inlinestatic

Get reference to unique instance of this class object.

Returns: identity matrix

Definition at line 106 of file JMath/JMatrix3D.hh.

    {
      static JMatrix3D matrix(JMatrix3D().setIdentity());
 
      return matrix;
    }

◆ set()

void JMATH::JMatrix3D::set ( const JMatrix3D & A )

inline

Set matrix.

Parameters

A matrix

Definition at line 119 of file JMath/JMatrix3D.hh.

    {
      static_cast<JMatrix3D&>(*this) = A;
    }

◆ reset()

JMatrix3D & JMATH::JMatrix3D::reset ( )

inline

Set matrix to the null matrix.

Returns: this matrix

Definition at line 130 of file JMath/JMatrix3D.hh.

    {
      *this = JMatrix3D();
 
      return *this;
    }

◆ transpose()

JMatrix3D & JMATH::JMatrix3D::transpose ( )

inline

Transpose.

Returns: this matrix

Definition at line 143 of file JMath/JMatrix3D.hh.

    {
      using std::swap;
 
      swap(a10, a01);
      swap(a20, a02);
      swap(a21, a12);
 
      return *this;
    }

◆ negate()

JMatrix3D & JMATH::JMatrix3D::negate ( )

inline

Negate matrix.

Returns: -this matrix

Definition at line 160 of file JMath/JMatrix3D.hh.

    {
      a00 = -a00;  a01 = -a01;  a02 = -a02;
      a10 = -a10;  a11 = -a11;  a12 = -a12;
      a20 = -a20;  a21 = -a21;  a22 = -a22;
 
      return *this;
    }

◆ add()

JMatrix3D & JMATH::JMatrix3D::add ( const JMatrix3D & A )

inline

Matrix addition.

Parameters

A matrix

Returns: this matrix + A

Definition at line 176 of file JMath/JMatrix3D.hh.

    {
      a00 += A.a00;  a01 += A.a01;  a02 += A.a02;
      a10 += A.a10;  a11 += A.a11;  a12 += A.a12;
      a20 += A.a20;  a21 += A.a21;  a22 += A.a22;
  
      return *this;
    }

◆ sub()

JMatrix3D & JMATH::JMatrix3D::sub ( const JMatrix3D & A )

inline

Matrix subtraction.

Parameters

A matrix

Returns: this matrix - A

Definition at line 192 of file JMath/JMatrix3D.hh.

    {
      a00 -= A.a00;  a01 -= A.a01;  a02 -= A.a02;
      a10 -= A.a10;  a11 -= A.a11;  a12 -= A.a12;
      a20 -= A.a20;  a21 -= A.a21;  a22 -= A.a22;
  
      return *this;
    }

◆ mul() [1/3]

JMatrix3D & JMATH::JMatrix3D::mul ( const double factor )

inline

Scale matrix.

Parameters

factor factor

Returns: this matrix * factor

Definition at line 208 of file JMath/JMatrix3D.hh.

    {
      a00 *= factor; a01 *= factor; a02 *= factor;
      a10 *= factor; a11 *= factor; a12 *= factor;
      a20 *= factor; a21 *= factor; a22 *= factor;
 
      return *this;
    }

◆ div()

JMatrix3D & JMATH::JMatrix3D::div ( const double factor )

inline

Scale matrix.

Parameters

factor factor

Returns: this matrix / factor

Definition at line 224 of file JMath/JMatrix3D.hh.

    {
      a00 /= factor; a01 /= factor; a02 /= factor;
      a10 /= factor; a11 /= factor; a12 /= factor;
      a20 /= factor; a21 /= factor; a22 /= factor;
 
      return *this;
    }

◆ mul() [2/3]

JMatrix3D & JMATH::JMatrix3D::mul	(	const JMatrix3D &	A,
		const JMatrix3D &	B )

inline

Matrix multiplication.

Parameters

A	matrix
B	matrix

Returns: this matrix

Definition at line 241 of file JMath/JMatrix3D.hh.

    {
      a00 = A.a00 * B.a00  +  A.a01 * B.a10  +  A.a02 * B.a20;
      a01 = A.a00 * B.a01  +  A.a01 * B.a11  +  A.a02 * B.a21;
      a02 = A.a00 * B.a02  +  A.a01 * B.a12  +  A.a02 * B.a22;
      
      a10 = A.a10 * B.a00  +  A.a11 * B.a10  +  A.a12 * B.a20;
      a11 = A.a10 * B.a01  +  A.a11 * B.a11  +  A.a12 * B.a21;
      a12 = A.a10 * B.a02  +  A.a11 * B.a12  +  A.a12 * B.a22;
      
      a20 = A.a20 * B.a00  +  A.a21 * B.a10  +  A.a22 * B.a20;
      a21 = A.a20 * B.a01  +  A.a21 * B.a11  +  A.a22 * B.a21;
      a22 = A.a20 * B.a02  +  A.a21 * B.a12  +  A.a22 * B.a22;
      
      return *this;
    }

◆ equals()

bool JMATH::JMatrix3D::equals	(	const JMatrix3D &	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 267 of file JMath/JMatrix3D.hh.

    {
      return (fabs(a00 - A.a00) <= eps  &&
              fabs(a01 - A.a01) <= eps  &&
              fabs(a02 - A.a02) <= eps  &&
              fabs(a10 - A.a10) <= eps  &&
              fabs(a11 - A.a11) <= eps  &&
              fabs(a12 - A.a12) <= eps  &&
              fabs(a20 - A.a20) <= eps  &&
              fabs(a21 - A.a21) <= eps  &&
              fabs(a22 - A.a22) <= eps);
    }

◆ isIdentity()

bool JMATH::JMatrix3D::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 288 of file JMath/JMatrix3D.hh.

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

◆ getDeterminant()

double JMATH::JMatrix3D::getDeterminant ( ) const

inline

Get determinant of matrix.

Returns: determinant of matrix

Definition at line 299 of file JMath/JMatrix3D.hh.

    {
      double det = 0.0;
 
      det += a00 * (a11 * a22 - a21 * a12);
      det -= a01 * (a10 * a22 - a20 * a12);
      det += a02 * (a10 * a21 - a20 * a11);
 
      return det;
    }

◆ transform()

void JMATH::JMatrix3D::transform	(	double &	__x,
		double &	__y,
		double &	__z ) const

inline

Transform.

Parameters

__x	x value
__y	y value
__z	z value

Definition at line 318 of file JMath/JMatrix3D.hh.

    {
      const double x = a00 * __x  +  a01 * __y  +  a02 * __z;
      const double y = a10 * __x  +  a11 * __y  +  a12 * __z;
      const double z = a20 * __x  +  a21 * __y  +  a22 * __z;
 
      __x = x;
      __y = y;
      __z = z;
    }

◆ mul() [3/3]

JMatrix3D & JMATH::JMath< JMatrix3D, 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);
    }

Friends And Related Symbol Documentation

◆ operator>>

JReader & operator>>	(	JReader &	in,
		JMatrix3D &	matrix )

friend

Read matrix from input.

Parameters

in	reader
matrix	matrix

Returns: reader

Definition at line 337 of file JMath/JMatrix3D.hh.

    {
      in >> matrix.a00;  in >> matrix.a01;  in >> matrix.a02;
      in >> matrix.a10;  in >> matrix.a11;  in >> matrix.a12;
      in >> matrix.a20;  in >> matrix.a21;  in >> matrix.a22;
 
      return in;
    }

◆ operator<< [1/2]

JWriter & operator<<	(	JWriter &	out,
		const JMatrix3D &	matrix )

friend

Write matrix to output.

Parameters

out	writer
matrix	matrix

Returns: writer

Definition at line 354 of file JMath/JMatrix3D.hh.

    {
      out << matrix.a00;  out << matrix.a01;  out << matrix.a02;
      out << matrix.a10;  out << matrix.a11;  out << matrix.a12;
      out << matrix.a20;  out << matrix.a21;  out << matrix.a22;
 
      return out;
    }

◆ operator<< [2/2]

std::ostream & operator<<	(	std::ostream &	out,
		const JMatrix3D &	A )

friend

Print ASCII formatted output.

Parameters

out	output stream
A	matrix

Returns: output stream

Definition at line 371 of file JMath/JMatrix3D.hh.

    {
      using namespace std;
 
      const JFormat format(out, getFormat<JMatrix3D>(JFormat_t(10, 3, std::ios::fixed | std::ios::showpos)));
      
      out << format << A.a00 << ' ' << format << A.a01 << ' ' << format << A.a02 << endl;
      out << format << A.a10 << ' ' << format << A.a11 << ' ' << format << A.a12 << endl;
      out << format << A.a20 << ' ' << format << A.a21 << ' ' << format << A.a22 << endl;
 
      return out;
    }

Member Data Documentation

◆ a00

double JMATH::JMatrix3D::a00

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a01

double JMATH::JMatrix3D::a01

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a02

double JMATH::JMatrix3D::a02

Definition at line 385 of file JMath/JMatrix3D.hh.

◆ a10

double JMATH::JMatrix3D::a10

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a11

double JMATH::JMatrix3D::a11

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a12

double JMATH::JMatrix3D::a12

Definition at line 386 of file JMath/JMatrix3D.hh.

◆ a20

double JMATH::JMatrix3D::a20

Definition at line 387 of file JMath/JMatrix3D.hh.

◆ a21

double JMATH::JMatrix3D::a21

Definition at line 387 of file JMath/JMatrix3D.hh.

◆ a22

double JMATH::JMatrix3D::a22

Definition at line 387 of file JMath/JMatrix3D.hh.

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

JMath/JMatrix3D.hh

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ JMatrix3D() [1/2]

◆ JMatrix3D() [2/2]

Member Function Documentation

◆ getInstance()

◆ setIdentity()

◆ getIdentity()

◆ set()

◆ reset()

◆ transpose()

◆ negate()

◆ add()

◆ sub()

◆ mul() [1/3]

◆ div()

◆ mul() [2/3]

◆ equals()

◆ isIdentity()

◆ getDeterminant()

◆ transform()

◆ mul() [3/3]

Friends And Related Symbol Documentation

◆ operator>>

◆ operator<< [1/2]

◆ operator<< [2/2]

Member Data Documentation

◆ a00

◆ a01

◆ a02

◆ a10

◆ a11

◆ a12

◆ a20

◆ a21

◆ a22