Represents a row-major 3x3 matrix. More...

#include <matrix3x3.h>

Public Member Functions
	aiMatrix3x3t () AI_NO_EXCEPT

	aiMatrix3x3t (const aiMatrix4x4t< TReal > &pMatrix)
	Construction from a 4x4 matrix. More...

	aiMatrix3x3t (TReal _a1, TReal _a2, TReal _a3, TReal _b1, TReal _b2, TReal _b3, TReal _c1, TReal _c2, TReal _c3)

TReal	Determinant () const

bool	Equal (const aiMatrix3x3t< TReal > &m, TReal epsilon=ai_epsilon) const

aiMatrix3x3t &	Inverse ()
	Invert the matrix. More...

template<typename TOther >
	operator aiMatrix3x3t< TOther > () const

bool	operator!= (const aiMatrix3x3t< TReal > &m) const

aiMatrix3x3t	operator* (const aiMatrix3x3t &m) const

aiMatrix3x3t &	operator*= (const aiMatrix3x3t &m)

bool	operator== (const aiMatrix3x3t< TReal > &m) const

TReal *	operator[] (unsigned int p_iIndex)

const TReal *	operator[] (unsigned int p_iIndex) const

aiMatrix3x3t &	Transpose ()
	Transpose the matrix. More...

Static Public Member Functions
static aiMatrix3x3t &	FromToMatrix (const aiVector3t< TReal > &from, const aiVector3t< TReal > &to, aiMatrix3x3t &out)
	A function for creating a rotation matrix that rotates a vector called "from" into another vector called "to". More...

static aiMatrix3x3t &	Rotation (TReal a, const aiVector3t< TReal > &axis, aiMatrix3x3t &out)
	Returns a rotation matrix for a rotation around an arbitrary axis. More...

static aiMatrix3x3t &	RotationZ (TReal a, aiMatrix3x3t &out)
	Returns a rotation matrix for a rotation around z. More...

static aiMatrix3x3t &	Translation (const aiVector2t< TReal > &v, aiMatrix3x3t &out)
	Returns a translation matrix. More...

Public Attributes
TReal	a1

TReal	a2

TReal	a3

TReal	b1

TReal	b2

TReal	b3

TReal	c1

TReal	c2

TReal	c3

Detailed Description

template<typename TReal>
class aiMatrix3x3t< TReal >

Represents a row-major 3x3 matrix.

There's much confusion about matrix layouts (column vs. row order). This is always a row-major matrix. Not even with the aiProcess_ConvertToLeftHanded flag, which absolutely does not affect matrix order - it just affects the handedness of the coordinate system defined thereby.

Constructor & Destructor Documentation

◆ aiMatrix3x3t() [1/3]

template<typename TReal >

aiMatrix3x3t< TReal >::aiMatrix3x3t ( )

inline

◆ aiMatrix3x3t() [2/3]

template<typename TReal >

aiMatrix3x3t< TReal >::aiMatrix3x3t	(	TReal	_a1,
		TReal	_a2,
		TReal	_a3,
		TReal	_b1,
		TReal	_b2,
		TReal	_b3,
		TReal	_c1,
		TReal	_c2,
		TReal	_c3
	)

inline

◆ aiMatrix3x3t() [3/3]

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal >::aiMatrix3x3t ( const aiMatrix4x4t< TReal > & pMatrix )

explicit

Construction from a 4x4 matrix.

The remaining parts of the matrix are ignored.

Member Function Documentation

◆ Determinant()

template<typename TReal >

AI_FORCE_INLINE TReal aiMatrix3x3t< TReal >::Determinant

◆ Equal()

template<typename TReal >

AI_FORCE_INLINE bool aiMatrix3x3t< TReal >::Equal	(	const aiMatrix3x3t< TReal > &	m,
		TReal	epsilon = `ai_epsilon`
	)		const

◆ FromToMatrix()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::FromToMatrix	(	const aiVector3t< TReal > &	from,
		const aiVector3t< TReal > &	to,
		aiMatrix3x3t< TReal > &	out
	)

static

A function for creating a rotation matrix that rotates a vector called "from" into another vector called "to".

Input : from[3], to[3] which both must be normalized non-zero vectors Output: mtx[3][3] – a 3x3 matrix in column-major form Authors: Tomas Möller, John Hughes "Efficiently Building a Matrix to Rotate One Vector to Another" Journal of Graphics Tools, 4(4):1-4, 1999

Input : from[3], to[3] which both must be normalized non-zero vectors Output: mtx[3][3] – a 3x3 matrix in colum-major form Authors: Tomas Möller, John Hughes "Efficiently Building a Matrix to Rotate One Vector to Another" Journal of Graphics Tools, 4(4):1-4, 1999

◆ Inverse()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::Inverse

Invert the matrix.

If the matrix is not invertible all elements are set to qnan. Beware, use (f != f) to check whether a TReal f is qnan.

◆ operator aiMatrix3x3t< TOther >()

template<typename TReal >

template<typename TOther >

aiMatrix3x3t< TReal >::operator aiMatrix3x3t< TOther >

◆ operator!=()

template<typename TReal >

AI_FORCE_INLINE bool aiMatrix3x3t< TReal >::operator!= ( const aiMatrix3x3t< TReal > & m ) const

◆ operator*()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > aiMatrix3x3t< TReal >::operator* ( const aiMatrix3x3t< TReal > & m ) const

◆ operator*=()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::operator*= ( const aiMatrix3x3t< TReal > & m )

◆ operator==()

template<typename TReal >

AI_FORCE_INLINE bool aiMatrix3x3t< TReal >::operator== ( const aiMatrix3x3t< TReal > & m ) const

◆ operator[]() [1/2]

template<typename TReal >

AI_FORCE_INLINE TReal * aiMatrix3x3t< TReal >::operator[] ( unsigned int p_iIndex )

◆ operator[]() [2/2]

template<typename TReal >

AI_FORCE_INLINE const TReal * aiMatrix3x3t< TReal >::operator[] ( unsigned int p_iIndex ) const

◆ Rotation()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::Rotation	(	TReal	a,
		const aiVector3t< TReal > &	axis,
		aiMatrix3x3t< TReal > &	out
	)

static

Returns a rotation matrix for a rotation around an arbitrary axis.

Parameters

a	Rotation angle, in radians
axis	Axis to rotate around
out	To be filled

◆ RotationZ()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::RotationZ	(	TReal	a,
		aiMatrix3x3t< TReal > &	out
	)

static

Returns a rotation matrix for a rotation around z.

Parameters

a	Rotation angle, in radians
out	Receives the output matrix

Returns: Reference to the output matrix

◆ Translation()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::Translation	(	const aiVector2t< TReal > &	v,
		aiMatrix3x3t< TReal > &	out
	)

static

Returns a translation matrix.

Parameters

v	Translation vector
out	Receives the output matrix

Returns: Reference to the output matrix

◆ Transpose()

template<typename TReal >

AI_FORCE_INLINE aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::Transpose

Transpose the matrix.

Member Data Documentation

◆ a1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a1

◆ a2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a2

◆ a3

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a3

◆ b1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b1

◆ b2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b2

◆ b3

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b3

◆ c1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c1

◆ c2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c2

◆ c3

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c3

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

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ aiMatrix3x3t() [1/3]

◆ aiMatrix3x3t() [2/3]

◆ aiMatrix3x3t() [3/3]

Member Function Documentation

◆ Determinant()

◆ Equal()

◆ FromToMatrix()

◆ Inverse()

◆ operator aiMatrix3x3t< TOther >()

◆ operator!=()

◆ operator*()

◆ operator*=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Rotation()

◆ RotationZ()

◆ Translation()

◆ Transpose()

Member Data Documentation

◆ a1

◆ a2

◆ a3

◆ b1

◆ b2

◆ b3

◆ c1

◆ c2

◆ c3