#include <AffineMatrix.h>

Public Member Functions
	AffineMatrix ()=default

	AffineMatrix (const Vector &v1, const Vector &v2, const Vector &v3)
	Construct the matrix from vectors as rows. More...

INLINE Float &	operator() (const Size i, const Size j)

INLINE Float	operator() (const Size i, const Size j) const

INLINE Vector	column (const Size idx) const

INLINE Vector	row (const Size idx) const

INLINE Vector	translation () const

INLINE AffineMatrix &	removeTranslation ()

INLINE AffineMatrix &	translate (const Vector &t)

INLINE AffineMatrix	transpose () const
	Returns the transposed matrix. More...

INLINE Float	determinant () const
	Computes determinant of the matrix. More...

AffineMatrix	inverse () const

bool	isOrthogonal () const

bool	isIsotropic () const

INLINE AffineMatrix	operator+ (const AffineMatrix &other) const

INLINE AffineMatrix	operator- (const AffineMatrix &other) const

INLINE AffineMatrix	operator* (const AffineMatrix &other) const
	Matrix multiplication. More...

INLINE Vector	operator* (const Vector &u) const

INLINE AffineMatrix &	operator+= (const AffineMatrix &other)

INLINE AffineMatrix &	operator-= (const AffineMatrix &other)

INLINE AffineMatrix &	operator*= (const Float value)

INLINE AffineMatrix &	operator/= (const Float value)

INLINE bool	operator== (const AffineMatrix &other) const

INLINE bool	operator!= (const AffineMatrix &other) const

Static Public Member Functions
static AffineMatrix	null ()

static AffineMatrix	identity ()

static AffineMatrix	scale (const Vector &scaling)

static AffineMatrix	rotateX (const Float angle)

static AffineMatrix	rotateY (const Float angle)

static AffineMatrix	rotateZ (const Float angle)

static AffineMatrix	rotateAxis (const Vector &axis, const Float angle)

static AffineMatrix	crossProductOperator (const Vector &a)

Friends
INLINE friend AffineMatrix	operator* (const AffineMatrix &t, const Float v)

INLINE friend AffineMatrix	operator* (const Float v, const AffineMatrix &t)

INLINE friend AffineMatrix	operator/ (const AffineMatrix &t, const Float v)

std::ostream &	operator<< (std::ostream &stream, const AffineMatrix &t)

Detailed Description

Todo:: somewhat duplicate of Tensor, but many function differ slightly due to translation, different asserts, etc. Probably not worth having common parent.

Definition at line 14 of file AffineMatrix.h.

Constructor & Destructor Documentation

◆ AffineMatrix() [1/2]

AffineMatrix::AffineMatrix ( )

default

◆ AffineMatrix() [2/2]

AffineMatrix::AffineMatrix	(	const Vector &	v1,
		const Vector &	v2,
		const Vector &	v3
	)

inline

Construct the matrix from vectors as rows.

Translation is stored as 4th components of vectors

Definition at line 24 of file AffineMatrix.h.

Member Function Documentation

◆ column()

INLINE Vector AffineMatrix::column ( const Size idx ) const

inline

Definition at line 39 of file AffineMatrix.h.

◆ crossProductOperator()

static AffineMatrix AffineMatrix::crossProductOperator ( const Vector & a )

inlinestatic

Definition at line 173 of file AffineMatrix.h.

◆ determinant()

INLINE Float AffineMatrix::determinant ( ) const

inline

Computes determinant of the matrix.

The translation is ignored, as determinant is defined for square matrices

Definition at line 80 of file AffineMatrix.h.

◆ identity()

static AffineMatrix AffineMatrix::identity ( )

inlinestatic

Definition at line 132 of file AffineMatrix.h.

◆ inverse()

AffineMatrix AffineMatrix::inverse ( ) const

inline

Definition at line 86 of file AffineMatrix.h.

◆ isIsotropic()

bool AffineMatrix::isIsotropic ( ) const

inline

Definition at line 123 of file AffineMatrix.h.

◆ isOrthogonal()

bool AffineMatrix::isOrthogonal ( ) const

inline

Definition at line 111 of file AffineMatrix.h.

◆ null()

static AffineMatrix AffineMatrix::null ( )

inlinestatic

Definition at line 128 of file AffineMatrix.h.

◆ operator!=()

INLINE bool AffineMatrix::operator!= ( const AffineMatrix & other ) const

inline

Definition at line 262 of file AffineMatrix.h.

◆ operator()() [1/2]

INLINE Float& AffineMatrix::operator()	(	const Size	i,
		const Size	j
	)

inline

Parameters

i	Row index
j	Column index

Definition at line 29 of file AffineMatrix.h.

◆ operator()() [2/2]

INLINE Float AffineMatrix::operator()	(	const Size	i,
		const Size	j
	)		const

inline

Definition at line 34 of file AffineMatrix.h.

◆ operator*() [1/2]

INLINE AffineMatrix AffineMatrix::operator* ( const AffineMatrix & other ) const

inline

Matrix multiplication.

Definition at line 190 of file AffineMatrix.h.

◆ operator*() [2/2]

INLINE Vector AffineMatrix::operator* ( const Vector & u ) const

inline

Definition at line 208 of file AffineMatrix.h.

◆ operator*=()

INLINE AffineMatrix& AffineMatrix::operator*= ( const Float value )

inline

Todo:: test

Definition at line 240 of file AffineMatrix.h.

◆ operator+()

INLINE AffineMatrix AffineMatrix::operator+ ( const AffineMatrix & other ) const

inline

Definition at line 181 of file AffineMatrix.h.

◆ operator+=()

INLINE AffineMatrix& AffineMatrix::operator+= ( const AffineMatrix & other )

inline

Definition at line 225 of file AffineMatrix.h.

◆ operator-()

INLINE AffineMatrix AffineMatrix::operator- ( const AffineMatrix & other ) const

inline

Definition at line 185 of file AffineMatrix.h.

◆ operator-=()

INLINE AffineMatrix& AffineMatrix::operator-= ( const AffineMatrix & other )

inline

Definition at line 232 of file AffineMatrix.h.

◆ operator/=()

INLINE AffineMatrix& AffineMatrix::operator/= ( const Float value )

inline

Definition at line 247 of file AffineMatrix.h.

◆ operator==()

INLINE bool AffineMatrix::operator== ( const AffineMatrix & other ) const

inline

Definition at line 255 of file AffineMatrix.h.

◆ removeTranslation()

INLINE AffineMatrix& AffineMatrix::removeTranslation ( )

inline

Definition at line 53 of file AffineMatrix.h.

◆ rotateAxis()

static AffineMatrix AffineMatrix::rotateAxis	(	const Vector &	axis,
		const Float	angle
	)

inlinestatic

Definition at line 159 of file AffineMatrix.h.

◆ rotateX()

static AffineMatrix AffineMatrix::rotateX ( const Float angle )

inlinestatic

Definition at line 141 of file AffineMatrix.h.

◆ rotateY()

static AffineMatrix AffineMatrix::rotateY ( const Float angle )

inlinestatic

Definition at line 147 of file AffineMatrix.h.

◆ rotateZ()

static AffineMatrix AffineMatrix::rotateZ ( const Float angle )

inlinestatic

Definition at line 153 of file AffineMatrix.h.

◆ row()

INLINE Vector AffineMatrix::row ( const Size idx ) const

inline

Definition at line 44 of file AffineMatrix.h.

◆ scale()

static AffineMatrix AffineMatrix::scale ( const Vector & scaling )

inlinestatic

Definition at line 136 of file AffineMatrix.h.

◆ translate()

INLINE AffineMatrix& AffineMatrix::translate ( const Vector & t )

inline

Definition at line 58 of file AffineMatrix.h.

◆ translation()

INLINE Vector AffineMatrix::translation ( ) const

inline

Definition at line 49 of file AffineMatrix.h.

◆ transpose()

INLINE AffineMatrix AffineMatrix::transpose ( ) const

inline

Returns the transposed matrix.

Translation vector is copied into the transposed matrix, so that double-transposed matrix is equal to the original matrix.

Definition at line 69 of file AffineMatrix.h.

Friends And Related Function Documentation

◆ operator* [1/2]

INLINE friend AffineMatrix operator*	(	const AffineMatrix &	t,
		const Float	v
	)

friend

Definition at line 212 of file AffineMatrix.h.

◆ operator* [2/2]

INLINE friend AffineMatrix operator*	(	const Float	v,
		const AffineMatrix &	t
	)

friend

Definition at line 216 of file AffineMatrix.h.

◆ operator/

INLINE friend AffineMatrix operator/	(	const AffineMatrix &	t,
		const Float	v
	)

friend

Definition at line 220 of file AffineMatrix.h.

◆ operator<<

std::ostream& operator<<	(	std::ostream &	stream,
		const AffineMatrix &	t
	)

friend

Definition at line 266 of file AffineMatrix.h.

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

/home/pavel/projects/astro/sph/src/core/math/AffineMatrix.h

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Constructor & Destructor Documentation

◆ AffineMatrix() [1/2]

◆ AffineMatrix() [2/2]

Member Function Documentation

◆ column()

◆ crossProductOperator()

◆ determinant()

◆ identity()

◆ inverse()

◆ isIsotropic()

◆ isOrthogonal()

◆ null()

◆ operator!=()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/=()

◆ operator==()

◆ removeTranslation()

◆ rotateAxis()

◆ rotateX()

◆ rotateY()

◆ rotateZ()

◆ row()

◆ scale()

◆ translate()

◆ translation()

◆ transpose()

Friends And Related Function Documentation

◆ operator* [1/2]

◆ operator* [2/2]

◆ operator/

◆ operator<<