aiMatrix3x3t< TReal > Class Template Reference

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

List of all members.

Public Member Functions
	aiMatrix3x3t ()
	aiMatrix3x3t (TReal _a1, TReal _a2, TReal _a3, TReal _b1, TReal _b2, TReal _b3, TReal _c1, TReal _c2, TReal _c3)
	aiMatrix3x3t (const aiMatrix4x4t< TReal > &pMatrix)
	Construction from a 4x4 matrix.
TReal	Determinant () const
bool	Equal (const aiMatrix4x4t< TReal > &m, TReal epsilon=1e-6) const
aiMatrix3x3t &	Inverse ()
	Invert the matrix.
template<typename TOther >
	operator aiMatrix3x3t< TOther > () const
bool	operator!= (const aiMatrix4x4t< TReal > &m) const
aiMatrix3x3t	operator* (const aiMatrix3x3t &m) const
aiMatrix3x3t &	operator*= (const aiMatrix3x3t &m)
bool	operator== (const aiMatrix4x4t< TReal > &m) const
TReal *	operator[] (unsigned int p_iIndex)
const TReal *	operator[] (unsigned int p_iIndex) const
aiMatrix3x3t &	Transpose ()
	Transpose the matrix.
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".
static aiMatrix3x3t &	Rotation (TReal a, const aiVector3t< TReal > &axis, aiMatrix3x3t &out)
	Returns a rotation matrix for a rotation around an arbitrary axis.
static aiMatrix3x3t &	RotationZ (TReal a, aiMatrix3x3t &out)
	Returns a rotation matrix for a rotation around z.
static aiMatrix3x3t &	Translation (const aiVector2t< TReal > &v, aiMatrix3x3t &out)
	Returns a translation matrix.
Public Attributes
TReal	a1
TReal	a2
TReal	a3
TReal	b1
TReal	b2
TReal	b3
TReal	c1
TReal	c2
TReal	c3

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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.

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Constructor & Destructor Documentation

template<typename TReal >

aiMatrix3x3t< TReal >::aiMatrix3x3t

(

)

[inline]

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]

template<typename TReal >

aiMatrix3x3t< TReal >::aiMatrix3x3t

(

const aiMatrix4x4t< TReal > &

pMatrix

)

[inline, explicit]

Construction from a 4x4 matrix.

The remaining parts of the matrix are ignored.

---

Member Function Documentation

template<typename TReal >

TReal aiMatrix3x3t< TReal >::Determinant

(

)

const [inline]

template<typename TReal >

bool aiMatrix3x3t< TReal >::Equal	(	const aiMatrix4x4t< TReal > &	m,
		TReal	epsilon = 1e-6
	)		const [inline]

template<typename TReal >

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

template<typename TReal >

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

(

)

[inline]

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.

template<typename TReal >

template<typename TOther >

aiMatrix3x3t< TReal >::operator aiMatrix3x3t< TOther >

(

)

const

template<typename TReal >

bool aiMatrix3x3t< TReal >::operator!=

(

const aiMatrix4x4t< TReal > &

m

)

const [inline]

template<typename TReal >

aiMatrix3x3t< TReal > aiMatrix3x3t< TReal >::operator*

(

const aiMatrix3x3t< TReal > &

m

)

const [inline]

template<typename TReal >

aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::operator*=

(

const aiMatrix3x3t< TReal > &

m

)

[inline]

template<typename TReal >

bool aiMatrix3x3t< TReal >::operator==

(

const aiMatrix4x4t< TReal > &

m

)

const [inline]

template<typename TReal >

TReal * aiMatrix3x3t< TReal >::operator[]

(

unsigned int

p_iIndex

)

[inline]

template<typename TReal >

const TReal * aiMatrix3x3t< TReal >::operator[]

(

unsigned int

p_iIndex

)

const [inline]

template<typename TReal >

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

template<typename TReal >

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

template<typename TReal >

aiMatrix3x3t< TReal > & aiMatrix3x3t< TReal >::Translation	(	const aiVector2t< TReal > &	v,
		aiMatrix3x3t< TReal > &	out
	)		[inline, static]

Returns a translation matrix.

Parameters:

v	Translation vector
out	Receives the output matrix

Returns:

Reference to the output matrix

template<typename TReal >

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

(

)

[inline]

Transpose the matrix.

---

Member Data Documentation

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::a3

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::b3

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c1

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c2

template<typename TReal >

TReal aiMatrix3x3t< TReal >::c3

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

• matrix3x3.h
• matrix3x3.inl