The btMatrix3x3 class implements a 3x3 rotation matrix, to perform linear algebra in combination with btQuaternion, btTransform and btVector3. Make sure to only include a pure orthogonal matrix without scaling. More...

#include <btMatrix3x3.h>

Public Member Functions
	__attribute__ ((deprecated)) void getEulerZYX(btScalar &yaw
	Get the matrix represented as euler angles around ZYX.
btMatrix3x3	absolute () const
	Return the matrix with all values non negative.
btMatrix3x3	adjoint () const
	Return the adjoint of the matrix.
	btMatrix3x3 ()
	No initializaion constructor.
	btMatrix3x3 (const btQuaternion &q)
	Constructor from Quaternion.
	btMatrix3x3 (const btScalar &xx, const btScalar &xy, const btScalar &xz, const btScalar &yx, const btScalar &yy, const btScalar &yz, const btScalar &zx, const btScalar &zy, const btScalar &zz)
	Constructor with row major formatting.
SIMD_FORCE_INLINE	btMatrix3x3 (const btMatrix3x3 &other)
	Copy constructor.
btScalar	cofac (int r1, int c1, int r2, int c2) const
	Calculate the matrix cofactor.
void	deSerialize (const struct btMatrix3x3Data &dataIn)
void	deSerializeDouble (const struct btMatrix3x3DoubleData &dataIn)
void	deSerializeFloat (const struct btMatrix3x3FloatData &dataIn)
btScalar	determinant () const
	Return the determinant of the matrix.
void	diagonalize (btMatrix3x3 &rot, btScalar threshold, int maxSteps)
	diagonalizes this matrix by the Jacobi method.
SIMD_FORCE_INLINE btVector3	getColumn (int i) const
	Get a column of the matrix as a vector.
void	getEulerYPR (btScalar &yaw, btScalar &pitch, btScalar &roll, unsigned int solution_number=1) const
	Get the matrix represented as euler angles around YXZ, roundtrip with setEulerYPR.
void	getOpenGLSubMatrix (btScalar *m) const
	Fill the values of the matrix into a 9 element array.
void	getRotation (btQuaternion &q) const
	Get the matrix represented as a quaternion.
SIMD_FORCE_INLINE const btVector3 &	getRow (int i) const
	Get a row of the matrix as a vector.
void	getRPY (btScalar &roll, btScalar &pitch, btScalar &yaw, unsigned int solution_number=1) const
	Get the matrix represented as roll pitch and yaw about fixed axes XYZ.
btMatrix3x3	inverse () const
	Return the inverse of the matrix.
btMatrix3x3 &	operator*= (const btMatrix3x3 &m)
	Multiply by the target matrix on the right.
SIMD_FORCE_INLINE btMatrix3x3 &	operator= (const btMatrix3x3 &other)
	Assignment Operator.
SIMD_FORCE_INLINE btVector3 &	operator[] (int i)
	Get a mutable reference to a row of the matrix as a vector.
SIMD_FORCE_INLINE const btVector3 &	operator[] (int i) const
	Get a const reference to a row of the matrix as a vector.
btMatrix3x3	scaled (const btVector3 &s) const
	Create a scaled copy of the matrix.
void	serialize (struct btMatrix3x3Data &dataOut) const
void	serializeFloat (struct btMatrix3x3FloatData &dataOut) const
void	setEulerYPR (btScalar eulerZ, btScalar eulerY, btScalar eulerX)
	Set the matrix from euler angles YPR around ZYX axes.
void	setEulerZYX (const btScalar &yaw, const btScalar &pitch, const btScalar &roll) __attribute__((deprecated))
	Set the matrix from euler angles using YPR around ZYX respectively.
void	setFromOpenGLSubMatrix (const btScalar *m)
	Set from a carray of btScalars.
void	setIdentity ()
	Set the matrix to the identity.
void	setRotation (const btQuaternion &q)
	Set the matrix from a quaternion.
void	setRPY (btScalar roll, btScalar pitch, btScalar yaw)
	Set the matrix using RPY about XYZ fixed axes.
void	setValue (const btScalar &xx, const btScalar &xy, const btScalar &xz, const btScalar &yx, const btScalar &yy, const btScalar &yz, const btScalar &zx, const btScalar &zy, const btScalar &zz)
	Set the values of the matrix explicitly (row major)
SIMD_FORCE_INLINE btScalar	tdotx (const btVector3 &v) const
SIMD_FORCE_INLINE btScalar	tdoty (const btVector3 &v) const
SIMD_FORCE_INLINE btScalar	tdotz (const btVector3 &v) const
btMatrix3x3	timesTranspose (const btMatrix3x3 &m) const
btMatrix3x3	transpose () const
	Return the transpose of the matrix.
btMatrix3x3	transposeTimes (const btMatrix3x3 &m) const
Static Public Member Functions
static const btMatrix3x3 &	getIdentity ()
Public Attributes
btScalar &	pitch
btScalar btScalar &	roll
btScalar btScalar unsigned int	solution_number
Private Attributes
btVector3	m_el [3]
	Data storage for the matrix, each vector is a row of the matrix.

Detailed Description

The btMatrix3x3 class implements a 3x3 rotation matrix, to perform linear algebra in combination with btQuaternion, btTransform and btVector3. Make sure to only include a pure orthogonal matrix without scaling.

Definition at line 31 of file btMatrix3x3.h.

Constructor & Destructor Documentation

btMatrix3x3::btMatrix3x3 ( ) [inline]

No initializaion constructor.

Definition at line 38 of file btMatrix3x3.h.

btMatrix3x3::btMatrix3x3 ( const btQuaternion & q ) [inline, explicit]

Constructor from Quaternion.

Definition at line 43 of file btMatrix3x3.h.

btMatrix3x3::btMatrix3x3	(	const btScalar &	xx,
		const btScalar &	xy,
		const btScalar &	xz,
		const btScalar &	yx,
		const btScalar &	yy,
		const btScalar &	yz,
		const btScalar &	zx,
		const btScalar &	zy,
		const btScalar &	zz
	)		`[inline]`

Constructor with row major formatting.

Definition at line 52 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3::btMatrix3x3 ( const btMatrix3x3 & other ) [inline]

Copy constructor.

Definition at line 61 of file btMatrix3x3.h.

Member Function Documentation

btMatrix3x3::__attribute__ ( (deprecated) )

Get the matrix represented as euler angles around ZYX.

Parameters:

yaw	Yaw around Z axis
pitch	Pitch around Y axis
roll	around X axis
solution_number	Which solution of two possible solutions ( 1 or 2) are possible values

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::absolute ( ) const

Return the matrix with all values non negative.

Definition at line 536 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::adjoint ( ) const

Return the adjoint of the matrix.

Definition at line 553 of file btMatrix3x3.h.

btScalar btMatrix3x3::cofac	(	int	r1,
		int	c1,
		int	r2,
		int	c2
	)		const `[inline]`

Calculate the matrix cofactor.

Parameters:

r1	The first row to use for calculating the cofactor
c1	The first column to use for calculating the cofactor
r1	The second row to use for calculating the cofactor
c1	The second column to use for calculating the cofactor See http://en.wikipedia.org/wiki/Cofactor_(linear_algebra) for more details

Definition at line 501 of file btMatrix3x3.h.

SIMD_FORCE_INLINE void btMatrix3x3::deSerialize ( const struct btMatrix3x3Data & dataIn )

Definition at line 671 of file btMatrix3x3.h.

SIMD_FORCE_INLINE void btMatrix3x3::deSerializeDouble ( const struct btMatrix3x3DoubleData & dataIn )

Definition at line 683 of file btMatrix3x3.h.

SIMD_FORCE_INLINE void btMatrix3x3::deSerializeFloat ( const struct btMatrix3x3FloatData & dataIn )

Definition at line 677 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btScalar btMatrix3x3::determinant ( ) const

Return the determinant of the matrix.

Definition at line 529 of file btMatrix3x3.h.

void btMatrix3x3::diagonalize	(	btMatrix3x3 &	rot,
		btScalar	threshold,
		int	maxSteps
	)		`[inline]`

diagonalizes this matrix by the Jacobi method.

Parameters:

rot	stores the rotation from the coordinate system in which the matrix is diagonal to the original coordinate system, i.e., old_this = rot * new_this * rot^T.
threshold	See iteration
iteration	The iteration stops when all off-diagonal elements are less than the threshold multiplied by the sum of the absolute values of the diagonal, or when maxSteps have been executed.

Note that this matrix is assumed to be symmetric.

Definition at line 413 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btVector3 btMatrix3x3::getColumn ( int i ) const [inline]

Get a column of the matrix as a vector.

Parameters:

i	Column number 0 indexed

Definition at line 78 of file btMatrix3x3.h.

void btMatrix3x3::getEulerYPR	(	btScalar &	yaw,
		btScalar &	pitch,
		btScalar &	roll,
		unsigned int	solution_number = `1`
	)		const `[inline]`

Get the matrix represented as euler angles around YXZ, roundtrip with setEulerYPR.

Parameters:

yaw	Yaw around Z axis
pitch	Pitch around Y axis
roll	around X axis

Definition at line 289 of file btMatrix3x3.h.

static const btMatrix3x3& btMatrix3x3::getIdentity ( ) [inline, static]

Definition at line 212 of file btMatrix3x3.h.

void btMatrix3x3::getOpenGLSubMatrix ( btScalar * m ) const [inline]

Fill the values of the matrix into a 9 element array.

Parameters:

m	The array to be filled

Definition at line 222 of file btMatrix3x3.h.

void btMatrix3x3::getRotation ( btQuaternion & q ) const [inline]

Get the matrix represented as a quaternion.

Parameters:

q	The quaternion which will be set

Definition at line 240 of file btMatrix3x3.h.

SIMD_FORCE_INLINE const btVector3& btMatrix3x3::getRow ( int i ) const [inline]

Get a row of the matrix as a vector.

Parameters:

i	Row number 0 indexed

Definition at line 86 of file btMatrix3x3.h.

void btMatrix3x3::getRPY	(	btScalar &	roll,
		btScalar &	pitch,
		btScalar &	yaw,
		unsigned int	solution_number = `1`
	)		const `[inline]`

Get the matrix represented as roll pitch and yaw about fixed axes XYZ.

Parameters:

roll	around X axis
pitch	Pitch around Y axis
yaw	Yaw around Z axis
solution_number	Which solution of two possible solutions ( 1 or 2) are possible values

Definition at line 361 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::inverse ( ) const

Return the inverse of the matrix.

Definition at line 561 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 & btMatrix3x3::operator*= ( const btMatrix3x3 & m )

Multiply by the target matrix on the right.

Parameters:

m	Rotation matrix to be applied Equivilant to this = this * m

Definition at line 520 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3& btMatrix3x3::operator= ( const btMatrix3x3 & other ) [inline]

Assignment Operator.

Definition at line 68 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btVector3& btMatrix3x3::operator[] ( int i ) [inline]

Get a mutable reference to a row of the matrix as a vector.

Parameters:

i	Row number 0 indexed

Definition at line 94 of file btMatrix3x3.h.

SIMD_FORCE_INLINE const btVector3& btMatrix3x3::operator[] ( int i ) const [inline]

Get a const reference to a row of the matrix as a vector.

Parameters:

i	Row number 0 indexed

Definition at line 102 of file btMatrix3x3.h.

btMatrix3x3 btMatrix3x3::scaled ( const btVector3 & s ) const [inline]

Create a scaled copy of the matrix.

Parameters:

s	Scaling vector The elements of the vector will scale each column

Definition at line 369 of file btMatrix3x3.h.

SIMD_FORCE_INLINE void btMatrix3x3::serialize ( struct btMatrix3x3Data & dataOut ) const

Definition at line 658 of file btMatrix3x3.h.

SIMD_FORCE_INLINE void btMatrix3x3::serializeFloat ( struct btMatrix3x3FloatData & dataOut ) const

Definition at line 664 of file btMatrix3x3.h.

void btMatrix3x3::setEulerYPR	(	btScalar	eulerZ,
		btScalar	eulerY,
		btScalar	eulerX
	)		`[inline]`

Set the matrix from euler angles YPR around ZYX axes.

Parameters:

eulerZ	Yaw aboud Z axis
eulerY	Pitch around Y axis
eulerX	Roll about X axis

These angles are used to produce a rotation matrix. The euler angles are applied in ZYX order. I.e a vector is first rotated about X then Y and then Z

Definition at line 177 of file btMatrix3x3.h.

void btMatrix3x3::setEulerZYX	(	const btScalar &	yaw,
		const btScalar &	pitch,
		const btScalar &	roll
	)		`[inline]`

Set the matrix from euler angles using YPR around ZYX respectively.

Parameters:

yaw	Yaw about Z axis
pitch	Pitch about Y axis
roll	Roll about X axis

Definition at line 163 of file btMatrix3x3.h.

void btMatrix3x3::setFromOpenGLSubMatrix ( const btScalar * m ) [inline]

Set from a carray of btScalars.

Parameters:

m	A pointer to the beginning of an array of 9 btScalars

Definition at line 115 of file btMatrix3x3.h.

void btMatrix3x3::setIdentity ( ) [inline]

Set the matrix to the identity.

Definition at line 205 of file btMatrix3x3.h.

void btMatrix3x3::setRotation ( const btQuaternion & q ) [inline]

Set the matrix from a quaternion.

Parameters:

q	The Quaternion to match

Definition at line 143 of file btMatrix3x3.h.

void btMatrix3x3::setRPY	(	btScalar	roll,
		btScalar	pitch,
		btScalar	yaw
	)		`[inline]`

Set the matrix using RPY about XYZ fixed axes.

Parameters:

roll	Roll about X axis
pitch	Pitch around Y axis
yaw	Yaw aboud Z axis

Definition at line 200 of file btMatrix3x3.h.

void btMatrix3x3::setValue	(	const btScalar &	xx,
		const btScalar &	xy,
		const btScalar &	xz,
		const btScalar &	yx,
		const btScalar &	yy,
		const btScalar &	yz,
		const btScalar &	zx,
		const btScalar &	zy,
		const btScalar &	zz
	)		`[inline]`

Set the values of the matrix explicitly (row major)

Parameters:

xx	Top left
xy	Top Middle
xz	Top Right
yx	Middle Left
yy	Middle Middle
yz	Middle Right
zx	Bottom Left
zy	Bottom Middle
zz	Bottom Right

Definition at line 132 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btScalar btMatrix3x3::tdotx ( const btVector3 & v ) const [inline]

Definition at line 390 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btScalar btMatrix3x3::tdoty ( const btVector3 & v ) const [inline]

Definition at line 394 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btScalar btMatrix3x3::tdotz ( const btVector3 & v ) const [inline]

Definition at line 398 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::timesTranspose ( const btMatrix3x3 & m ) const

Definition at line 588 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::transpose ( ) const

Return the transpose of the matrix.

Definition at line 545 of file btMatrix3x3.h.

SIMD_FORCE_INLINE btMatrix3x3 btMatrix3x3::transposeTimes ( const btMatrix3x3 & m ) const

Definition at line 573 of file btMatrix3x3.h.

Member Data Documentation

btVector3 btMatrix3x3::m_el[3] [private]

Data storage for the matrix, each vector is a row of the matrix.

Definition at line 34 of file btMatrix3x3.h.

btScalar& btMatrix3x3::pitch

Definition at line 279 of file btMatrix3x3.h.

btScalar btScalar& btMatrix3x3::roll

Definition at line 279 of file btMatrix3x3.h.

btScalar btScalar unsigned int btMatrix3x3::solution_number

Initial value:

 1) const
        {
                getEulerYPR(yaw, pitch, roll, solution_number);
        }

Definition at line 279 of file btMatrix3x3.h.

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

btMatrix3x3.h

Public Member Functions

Static Public Member Functions

Public Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation