Public Member Functions | Static Public Member Functions | Public Attributes | Private Attributes | List of all members
tf::Matrix3x3 Class Reference

The Matrix3x3 class implements a 3x3 rotation matrix, to perform linear algebra in combination with Quaternion, Transform and Vector3. Make sure to only include a pure orthogonal matrix without scaling. More...

#include <Matrix3x3.h>

Public Member Functions

 __attribute__ ((deprecated)) void getEulerZYX(tfScalar &yaw
 Get the matrix represented as euler angles around ZYX. More...
 
Matrix3x3 absolute () const
 Return the matrix with all values non negative. More...
 
Matrix3x3 adjoint () const
 Return the adjoint of the matrix. More...
 
tfScalar cofac (int r1, int c1, int r2, int c2) const
 Calculate the matrix cofactor. More...
 
void deSerialize (const struct Matrix3x3Data &dataIn)
 
void deSerializeDouble (const struct Matrix3x3DoubleData &dataIn)
 
void deSerializeFloat (const struct Matrix3x3FloatData &dataIn)
 
tfScalar determinant () const
 Return the determinant of the matrix. More...
 
void diagonalize (Matrix3x3 &rot, tfScalar threshold, int maxSteps)
 diagonalizes this matrix by the Jacobi method. More...
 
TFSIMD_FORCE_INLINE Vector3 getColumn (int i) const
 Get a column of the matrix as a vector. More...
 
void getEulerYPR (tfScalar &yaw, tfScalar &pitch, tfScalar &roll, unsigned int solution_number=1) const
 Get the matrix represented as euler angles around YXZ, roundtrip with setEulerYPR. More...
 
void getOpenGLSubMatrix (tfScalar *m) const
 Fill the values of the matrix into a 9 element array. More...
 
void getRotation (Quaternion &q) const
 Get the matrix represented as a quaternion. More...
 
TFSIMD_FORCE_INLINE const Vector3getRow (int i) const
 Get a row of the matrix as a vector. More...
 
void getRPY (tfScalar &roll, tfScalar &pitch, tfScalar &yaw, unsigned int solution_number=1) const
 Get the matrix represented as roll pitch and yaw about fixed axes XYZ. More...
 
Matrix3x3 inverse () const
 Return the inverse of the matrix. More...
 
 Matrix3x3 ()
 No initializaion constructor. More...
 
 Matrix3x3 (const Quaternion &q)
 Constructor from Quaternion. More...
 
 Matrix3x3 (const tfScalar &xx, const tfScalar &xy, const tfScalar &xz, const tfScalar &yx, const tfScalar &yy, const tfScalar &yz, const tfScalar &zx, const tfScalar &zy, const tfScalar &zz)
 Constructor with row major formatting. More...
 
TFSIMD_FORCE_INLINE Matrix3x3 (const Matrix3x3 &other)
 Copy constructor. More...
 
Matrix3x3operator*= (const Matrix3x3 &m)
 Multiply by the target matrix on the right. More...
 
TFSIMD_FORCE_INLINE Matrix3x3operator= (const Matrix3x3 &other)
 Assignment Operator. More...
 
TFSIMD_FORCE_INLINE Vector3operator[] (int i)
 Get a mutable reference to a row of the matrix as a vector. More...
 
TFSIMD_FORCE_INLINE const Vector3operator[] (int i) const
 Get a const reference to a row of the matrix as a vector. More...
 
Matrix3x3 scaled (const Vector3 &s) const
 Create a scaled copy of the matrix. More...
 
void serialize (struct Matrix3x3Data &dataOut) const
 
void serializeFloat (struct Matrix3x3FloatData &dataOut) const
 
void setEulerYPR (tfScalar eulerZ, tfScalar eulerY, tfScalar eulerX)
 Set the matrix from euler angles YPR around ZYX axes. More...
 
void setEulerZYX (const tfScalar &yaw, const tfScalar &pitch, const tfScalar &roll) __attribute__((deprecated))
 Set the matrix from euler angles using YPR around ZYX respectively. More...
 
void setFromOpenGLSubMatrix (const tfScalar *m)
 Set from a carray of tfScalars. More...
 
void setIdentity ()
 Set the matrix to the identity. More...
 
void setRotation (const Quaternion &q)
 Set the matrix from a quaternion. More...
 
void setRPY (tfScalar roll, tfScalar pitch, tfScalar yaw)
 Set the matrix using RPY about XYZ fixed axes. More...
 
void setValue (const tfScalar &xx, const tfScalar &xy, const tfScalar &xz, const tfScalar &yx, const tfScalar &yy, const tfScalar &yz, const tfScalar &zx, const tfScalar &zy, const tfScalar &zz)
 Set the values of the matrix explicitly (row major) More...
 
TFSIMD_FORCE_INLINE tfScalar tdotx (const Vector3 &v) const
 
TFSIMD_FORCE_INLINE tfScalar tdoty (const Vector3 &v) const
 
TFSIMD_FORCE_INLINE tfScalar tdotz (const Vector3 &v) const
 
Matrix3x3 timesTranspose (const Matrix3x3 &m) const
 
Matrix3x3 transpose () const
 Return the transpose of the matrix. More...
 
Matrix3x3 transposeTimes (const Matrix3x3 &m) const
 

Static Public Member Functions

static const Matrix3x3getIdentity ()
 

Public Attributes

tfScalarpitch
 
tfScalar tfScalarroll
 
tfScalar tfScalar unsigned int solution_number
 

Private Attributes

Vector3 m_el [3]
 Data storage for the matrix, each vector is a row of the matrix. More...
 

Detailed Description

The Matrix3x3 class implements a 3x3 rotation matrix, to perform linear algebra in combination with Quaternion, Transform and Vector3. Make sure to only include a pure orthogonal matrix without scaling.

Definition at line 31 of file Matrix3x3.h.

Constructor & Destructor Documentation

tf::Matrix3x3::Matrix3x3 ( )
inline

No initializaion constructor.

Definition at line 38 of file Matrix3x3.h.

tf::Matrix3x3::Matrix3x3 ( const Quaternion q)
inlineexplicit

Constructor from Quaternion.

Definition at line 43 of file Matrix3x3.h.

tf::Matrix3x3::Matrix3x3 ( const tfScalar xx,
const tfScalar xy,
const tfScalar xz,
const tfScalar yx,
const tfScalar yy,
const tfScalar yz,
const tfScalar zx,
const tfScalar zy,
const tfScalar zz 
)
inline

Constructor with row major formatting.

Definition at line 52 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE tf::Matrix3x3::Matrix3x3 ( const Matrix3x3 other)
inline

Copy constructor.

Definition at line 61 of file Matrix3x3.h.

Member Function Documentation

tf::Matrix3x3::__attribute__ ( (deprecated)  )

Get the matrix represented as euler angles around ZYX.

Parameters
yawYaw around Z axis
pitchPitch around Y axis
rollaround X axis
solution_numberWhich solution of two possible solutions ( 1 or 2) are possible values
TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::absolute ( ) const

Return the matrix with all values non negative.

Definition at line 540 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::adjoint ( ) const

Return the adjoint of the matrix.

Definition at line 557 of file Matrix3x3.h.

tfScalar tf::Matrix3x3::cofac ( int  r1,
int  c1,
int  r2,
int  c2 
) const
inline

Calculate the matrix cofactor.

Parameters
r1The first row to use for calculating the cofactor
c1The first column to use for calculating the cofactor
r1The second row to use for calculating the cofactor
c1The second column to use for calculating the cofactor See http://en.wikipedia.org/wiki/Cofactor_(linear_algebra) for more details

Definition at line 505 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE void tf::Matrix3x3::deSerialize ( const struct Matrix3x3Data dataIn)

Definition at line 675 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE void tf::Matrix3x3::deSerializeDouble ( const struct Matrix3x3DoubleData dataIn)

Definition at line 687 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE void tf::Matrix3x3::deSerializeFloat ( const struct Matrix3x3FloatData dataIn)

Definition at line 681 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE tfScalar tf::Matrix3x3::determinant ( ) const

Return the determinant of the matrix.

Definition at line 533 of file Matrix3x3.h.

void tf::Matrix3x3::diagonalize ( Matrix3x3 rot,
tfScalar  threshold,
int  maxSteps 
)
inline

diagonalizes this matrix by the Jacobi method.

Parameters
rotstores 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.
thresholdSee iteration
iterationThe 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 417 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Vector3 tf::Matrix3x3::getColumn ( int  i) const
inline

Get a column of the matrix as a vector.

Parameters
iColumn number 0 indexed

Definition at line 81 of file Matrix3x3.h.

void tf::Matrix3x3::getEulerYPR ( tfScalar yaw,
tfScalar pitch,
tfScalar roll,
unsigned int  solution_number = 1 
) const
inline

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

Parameters
yawYaw around Z axis
pitchPitch around Y axis
rollaround X axis

Definition at line 292 of file Matrix3x3.h.

static const Matrix3x3& tf::Matrix3x3::getIdentity ( )
inlinestatic

Definition at line 215 of file Matrix3x3.h.

void tf::Matrix3x3::getOpenGLSubMatrix ( tfScalar m) const
inline

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

Parameters
mThe array to be filled

Definition at line 225 of file Matrix3x3.h.

void tf::Matrix3x3::getRotation ( Quaternion q) const
inline

Get the matrix represented as a quaternion.

Parameters
qThe quaternion which will be set

Definition at line 243 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE const Vector3& tf::Matrix3x3::getRow ( int  i) const
inline

Get a row of the matrix as a vector.

Parameters
iRow number 0 indexed

Definition at line 89 of file Matrix3x3.h.

void tf::Matrix3x3::getRPY ( tfScalar roll,
tfScalar pitch,
tfScalar yaw,
unsigned int  solution_number = 1 
) const
inline

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

Parameters
rollaround X axis
pitchPitch around Y axis
yawYaw around Z axis
solution_numberWhich solution of two possible solutions ( 1 or 2) are possible values

Definition at line 365 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::inverse ( ) const

Return the inverse of the matrix.

Definition at line 565 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 & tf::Matrix3x3::operator*= ( const Matrix3x3 m)

Multiply by the target matrix on the right.

Parameters
mRotation matrix to be applied Equivilant to this = this * m

Definition at line 524 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3& tf::Matrix3x3::operator= ( const Matrix3x3 other)
inline

Assignment Operator.

Definition at line 70 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Vector3& tf::Matrix3x3::operator[] ( int  i)
inline

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

Parameters
iRow number 0 indexed

Definition at line 97 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE const Vector3& tf::Matrix3x3::operator[] ( int  i) const
inline

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

Parameters
iRow number 0 indexed

Definition at line 105 of file Matrix3x3.h.

Matrix3x3 tf::Matrix3x3::scaled ( const Vector3 s) const
inline

Create a scaled copy of the matrix.

Parameters
sScaling vector The elements of the vector will scale each column

Definition at line 373 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE void tf::Matrix3x3::serialize ( struct Matrix3x3Data dataOut) const

Definition at line 662 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE void tf::Matrix3x3::serializeFloat ( struct Matrix3x3FloatData dataOut) const

Definition at line 668 of file Matrix3x3.h.

void tf::Matrix3x3::setEulerYPR ( tfScalar  eulerZ,
tfScalar  eulerY,
tfScalar  eulerX 
)
inline

Set the matrix from euler angles YPR around ZYX axes.

Parameters
eulerZYaw aboud Z axis
eulerYPitch around Y axis
eulerXRoll 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 180 of file Matrix3x3.h.

void tf::Matrix3x3::setEulerZYX ( const tfScalar yaw,
const tfScalar pitch,
const tfScalar roll 
)
inline

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

Parameters
yawYaw about Z axis
pitchPitch about Y axis
rollRoll about X axis

Definition at line 166 of file Matrix3x3.h.

void tf::Matrix3x3::setFromOpenGLSubMatrix ( const tfScalar m)
inline

Set from a carray of tfScalars.

Parameters
mA pointer to the beginning of an array of 9 tfScalars

Definition at line 118 of file Matrix3x3.h.

void tf::Matrix3x3::setIdentity ( )
inline

Set the matrix to the identity.

Definition at line 208 of file Matrix3x3.h.

void tf::Matrix3x3::setRotation ( const Quaternion q)
inline

Set the matrix from a quaternion.

Parameters
qThe Quaternion to match

Definition at line 146 of file Matrix3x3.h.

void tf::Matrix3x3::setRPY ( tfScalar  roll,
tfScalar  pitch,
tfScalar  yaw 
)
inline

Set the matrix using RPY about XYZ fixed axes.

Parameters
rollRoll about X axis
pitchPitch around Y axis
yawYaw aboud Z axis

Definition at line 203 of file Matrix3x3.h.

void tf::Matrix3x3::setValue ( const tfScalar xx,
const tfScalar xy,
const tfScalar xz,
const tfScalar yx,
const tfScalar yy,
const tfScalar yz,
const tfScalar zx,
const tfScalar zy,
const tfScalar zz 
)
inline

Set the values of the matrix explicitly (row major)

Parameters
xxTop left
xyTop Middle
xzTop Right
yxMiddle Left
yyMiddle Middle
yzMiddle Right
zxBottom Left
zyBottom Middle
zzBottom Right

Definition at line 135 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE tfScalar tf::Matrix3x3::tdotx ( const Vector3 v) const
inline

Definition at line 394 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE tfScalar tf::Matrix3x3::tdoty ( const Vector3 v) const
inline

Definition at line 398 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE tfScalar tf::Matrix3x3::tdotz ( const Vector3 v) const
inline

Definition at line 402 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::timesTranspose ( const Matrix3x3 m) const

Definition at line 592 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::transpose ( ) const

Return the transpose of the matrix.

Definition at line 549 of file Matrix3x3.h.

TFSIMD_FORCE_INLINE Matrix3x3 tf::Matrix3x3::transposeTimes ( const Matrix3x3 m) const

Definition at line 577 of file Matrix3x3.h.

Member Data Documentation

Vector3 tf::Matrix3x3::m_el[3]
private

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

Definition at line 34 of file Matrix3x3.h.

tfScalar& tf::Matrix3x3::pitch

Definition at line 282 of file Matrix3x3.h.

tfScalar tfScalar& tf::Matrix3x3::roll

Definition at line 282 of file Matrix3x3.h.

tfScalar tfScalar unsigned int tf::Matrix3x3::solution_number
Initial value:
= 1) const
{
}

Definition at line 282 of file Matrix3x3.h.


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


tf
Author(s): Tully Foote, Eitan Marder-Eppstein, Wim Meeussen
autogenerated on Tue Jan 2 2018 03:17:40