Basic 2x2 matrix data type. More...

#include <mitsuba/core/matrix.h>

Inheritance diagram for mitsuba::Matrix2x2:

Public Member Functions
	Matrix2x2 ()

	Matrix2x2 (Float value)
	Initialize the matrix with constant entries. More...

	Matrix2x2 (const Float _m[2][2])
	Initialize the matrix from a given 2x2 array. More...

	Matrix2x2 (const Float _m[4])
	Initialize the matrix from a given (float) 2x2 array in row-major order. More...

	Matrix2x2 (const Vector2 &v1, const Vector2 &v2)
	Initialize the matrix from two 2D column vectors. More...

	Matrix2x2 (Stream *stream)
	Unserialize a matrix from a stream. More...

	Matrix2x2 (const Matrix< 2, 2, Float > &mtx)
	Copy constructor. More...

	Matrix2x2 (Float a00, Float a01, Float a10, Float a11)
	Initialize with the given values. More...

Float	det () const
	Return the determinant (Faster than Matrix::det) More...

FINLINE bool	invert2x2 (Matrix2x2 &target) const
	Compute the inverse (Faster than Matrix::invert) More...

FINLINE bool	invert (Matrix2x2 &target) const

FINLINE bool	invert2x2 (Matrix2x2 &target, Float &det) const
	Compute the inverse with det (Faster than Matrix::invert) More...

Vector2	operator* (const Vector2 &v) const
	Matrix-vector multiplication. More...

Matrix2x2	operator* (Float value) const
	Scalar multiplication (creates a temporary) More...

Matrix2x2 &	operator= (const Matrix< 2, 2, Float > &mat)
	Assignment operator. More...

Vector2	row (int i) const
	Return a row by index. More...

Vector2	col (int i) const
	Return a column by index. More...

Public Member Functions inherited from mitsuba::Matrix< 2, 2, Float >
	Matrix ()
	Construct a new MxN matrix without initializing it. More...

	Matrix (Floatvalue)
	Initialize the matrix with constant entries. More...

	Matrix (const Float_m[M][N])
	Initialize the matrix from a given MxN array. More...

	Matrix (const Float_m[M *N])
	Initialize the matrix from a given (flat) MxN array in row-major order. More...

	Matrix (Stream *stream)
	Unserialize a matrix from a stream. More...

	Matrix (const Matrix &mtx)
	Copy constructor. More...

void	setIdentity ()
	Initialize with the identity matrix. More...

void	setZero ()
	Initialize with zeroes. More...

Float &	operator() (int i, int j)
	Indexing operator. More...

const Float &	operator() (int i, int j) const
	Indexing operator (const verions) More...

bool	operator== (const Matrix &mat) const
	Equality operator. More...

bool	operator!= (const Matrix &mat) const
	Inequality operator. More...

Matrix &	operator= (const Matrix &mat)
	Assignment operator. More...

Matrix	operator+ (const Matrix &mat) const
	Matrix addition (returns a temporary) More...

Matrix	operator+ (Floatvalue) const
	Matrix-scalar addition (returns a temporary) More...

const Matrix &	operator+= (const Matrix &mat)
	Matrix addition. More...

const Matrix &	operator+= (Floatvalue)
	Matrix-scalar addition. More...

Matrix	operator- (const Matrix &mat) const
	Matrix subtraction (returns a temporary) More...

Matrix	operator- (Floatvalue) const
	Matrix-scalar subtraction (returns a temporary) More...

const Matrix &	operator- (Floatvalue)
	Matrix-scalar subtraction. More...

Matrix	operator- () const
	Component-wise negation. More...

const Matrix &	operator-= (const Matrix &mat)
	Matrix subtraction. More...

const Matrix &	operator-= (Floatvalue)
	Matrix-scalar addition. More...

Matrix	operator* (Floatvalue) const
	Scalar multiplication (creates a temporary) More...

const Matrix &	operator*= (Floatvalue)
	Scalar multiplication. More...

const Matrix &	operator*= (const Matrix &mat)
	Matrix multiplication (for square matrices) More...

Matrix	operator/ (Floatvalue) const
	Scalar division (creates a temporary) More...

const Matrix &	operator/= (Floatvalue)
	Scalar division. More...

Float	trace () const
	Compute the trace of a square matrix. More...

Float	frob () const
	Compute the Frobenius norm. More...

bool	lu (Matrix &LU, int piv[M], int &pivsign) const
	Compute the LU decomposition of a matrix. More...

bool	chol (Matrix &L) const

void	cholSolve (const Matrix< M, K, Float > &B, Matrix< M, K, Float > &X) const

void	luSolve (const Matrix< M, K, Float > &B, Matrix< M, K, Float > &X, int piv[M]) const

Float	luDet (int pivsign) const
	Compute the determinant of a decomposed matrix created by lu() More...

Float	cholDet () const
	Compute the determinant of a decomposed matrix created by chol() More...

bool	isZero () const
	Check if the matrix is identically zero. More...

bool	isIdentity () const
	Test if this is the identity matrix. More...

Float	det () const
	Compute the determinant of a square matrix (internally creates a LU decomposition) More...

bool	invert (Matrix &target) const
	Compute the inverse of a square matrix using the Gauss-Jordan algorithm. More...

void	symEig (Matrix &Q, Floatd[M]) const
	Perform a symmetric eigendecomposition of a square matrix into Q and D. More...

void	transpose (Matrix< N, M, Float > &target) const
	Compute the transpose of this matrix. More...

void	serialize (Stream *stream) const
	Serialize the matrix to a stream. More...

std::string	toString () const
	Return a string representation. More...

Additional Inherited Members
Public Attributes inherited from mitsuba::Matrix< 2, 2, Float >
Float	m [M][N]

Static Protected Member Functions inherited from mitsuba::Matrix< 2, 2, Float >
static void	tred2 (FloatV[M][N], Floatd[N], Floate[N])
	Symmetric Householder reduction to tridiagonal form. More...

static void	tql2 (FloatV[M][N], Floatd[N], Floate[N])
	Symmetric tridiagonal QL algorithm. More...

Detailed Description

Basic 2x2 matrix data type.

Constructor & Destructor Documentation

mitsuba::Matrix2x2::Matrix2x2 ( )

inline

mitsuba::Matrix2x2::Matrix2x2 ( Float value )

inlineexplicit

Initialize the matrix with constant entries.

mitsuba::Matrix2x2::Matrix2x2 ( const Float _m[2][2] )

inlineexplicit

Initialize the matrix from a given 2x2 array.

mitsuba::Matrix2x2::Matrix2x2 ( const Float _m[4] )

inlineexplicit

Initialize the matrix from a given (float) 2x2 array in row-major order.

mitsuba::Matrix2x2::Matrix2x2	(	const Vector2 &	v1,
		const Vector2 &	v2
	)

inlineexplicit

Initialize the matrix from two 2D column vectors.

mitsuba::Matrix2x2::Matrix2x2 ( Stream * stream )

inlineexplicit

Unserialize a matrix from a stream.

mitsuba::Matrix2x2::Matrix2x2 ( const Matrix< 2, 2, Float > & mtx )

inline

Copy constructor.

mitsuba::Matrix2x2::Matrix2x2	(	Float	a00,
		Float	a01,
		Float	a10,
		Float	a11
	)

inline

Initialize with the given values.

Member Function Documentation

Vector2 mitsuba::Matrix2x2::col ( int i ) const

inline

Return a column by index.

Float mitsuba::Matrix2x2::det ( ) const

inline

Return the determinant (Faster than Matrix::det)

FINLINE bool mitsuba::Matrix2x2::invert ( Matrix2x2 & target ) const

inline

FINLINE bool mitsuba::Matrix2x2::invert2x2 ( Matrix2x2 & target ) const

inline

Compute the inverse (Faster than Matrix::invert)

FINLINE bool mitsuba::Matrix2x2::invert2x2	(	Matrix2x2 &	target,
		Float &	det
	)		const

inline

Compute the inverse with det (Faster than Matrix::invert)

Vector2 mitsuba::Matrix2x2::operator* ( const Vector2 & v ) const

inline

Matrix-vector multiplication.

Matrix2x2 mitsuba::Matrix2x2::operator* ( Float value ) const

inline

Scalar multiplication (creates a temporary)

Matrix2x2& mitsuba::Matrix2x2::operator= ( const Matrix< 2, 2, Float > & mat )

inline

Assignment operator.

Vector2 mitsuba::Matrix2x2::row ( int i ) const

inline

Return a row by index.

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

include/mitsuba/core/matrix.h

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation