Atmel Software Framework

math::matrix3d Class Reference

3-Dimensional Matrix Class

#include <matrix.h>

Public Member Functions

const matrix3d adjoint () const
 calculate the adjoint of a 3x3 matrix More...
 
const scalar determinant () const
 
void identity ()
 
const matrix3d inverse () const
 calculate the inverse of a 3x3 matrix More...
 
void transpose ()
 
void zero ()
 
class construction and destruction
 matrix3d ()
 
 matrix3d (const vector3d &c0, const vector3d &c1, const vector3d &c2)
 
 matrix3d (scalar m11, scalar m12, scalar m13, scalar m21, scalar m22, scalar m23, scalar m31, scalar m32, scalar m33)
 
 matrix3d (const scalar *m)
 
class member operators
scalaroperator() (int i, int j)
 
const scalaroperator() (int i, int j) const
 
const vector3d operator* (const vector3d &v) const
 
const matrix3doperator+= (const matrix3d &b)
 
const matrix3doperator-= (const matrix3d &b)
 
const matrix3doperator*= (const matrix3d &b)
 
const matrix3doperator*= (const scalar &s)
 
const matrix3d operator+ (const matrix3d &m) const
 
const matrix3d operator- (const matrix3d &m) const
 
const matrix3d operator* (const matrix3d &m) const
 

Friends

class friend operators
const matrix3d operator* (const scalar &s, const matrix3d &A)
 
const matrix3d operator- (const matrix3d &A)
 

math::matrix3d::matrix3d ( )
inline
math::matrix3d::matrix3d ( const vector3d c0,
const vector3d c1,
const vector3d c2 
)
inline

References c0, c1, and c2.

math::matrix3d::matrix3d ( scalar  m11,
scalar  m12,
scalar  m13,
scalar  m21,
scalar  m22,
scalar  m23,
scalar  m31,
scalar  m32,
scalar  m33 
)
inline
math::matrix3d::matrix3d ( const scalar m)
inlineexplicit

const matrix3d math::matrix3d::adjoint ( ) const

calculate the adjoint of a 3x3 matrix

Calculate the caller's adjoint matrix. Given a square matrix 'A', where 'C[i,j]' is the cofactor of 'a[i,j]', then the matrix:

\[ \left[ \begin{array}{cccc} C_{11} & C_{12} & ... & C_{1n}\\ C_{21} & C_{22} & ... & C_{2n}\\ : & : & & :\\ C_{n1} & C_{n2} & ... & C_{nn} \end{array} \right] \]

is the 'matrix of cofactors from A'. The transpose of this matrix is the 'adjoint of A'.

Return values
math::matrix3dThe adjoint of the invoking object.

References _m11, _m12, _m13, _m21, _m22, _m23, _m31, _m32, _m33, math::det(), and matrix3d().

const scalar math::matrix3d::determinant ( ) const
inline

References math::vector3d::dot().

void math::matrix3d::identity ( )
inline
const matrix3d math::matrix3d::inverse ( ) const

calculate the inverse of a 3x3 matrix

Calculate the caller's inverse matrix. If 'A' and 'B' are square matrices of the same size such that 'AB = BA = I' (where 'I' is the identity matrix), then 'A' is 'invertible' and 'B' is an 'inverse' of 'A'. If no such matrix 'B' exists, then 'A' is 'singular'.

Return values
math::matrix3dThe inverse of the invoking matrix (if nonsingular), else the zero matrix if not invertible (singular).
scalar& math::matrix3d::operator() ( int  i,
int  j 
)
inline

References i, and j.

const scalar& math::matrix3d::operator() ( int  i,
int  j 
) const
inline

References i, and j.

const vector3d math::matrix3d::operator* ( const vector3d v) const
inline
const matrix3d math::matrix3d::operator* ( const matrix3d m) const
inline

References matrix3d().

const matrix3d& math::matrix3d::operator*= ( const matrix3d b)
inline
const matrix3d& math::matrix3d::operator*= ( const scalar s)
inline

References s.

const matrix3d math::matrix3d::operator+ ( const matrix3d m) const
inline

References matrix3d().

const matrix3d& math::matrix3d::operator+= ( const matrix3d b)
inline
const matrix3d math::matrix3d::operator- ( const matrix3d m) const
inline

References matrix3d().

const matrix3d& math::matrix3d::operator-= ( const matrix3d b)
inline
void math::matrix3d::transpose ( )
inline
void math::matrix3d::zero ( )
inline

const matrix3d operator* ( const scalar s,
const matrix3d A 
)
friend
const matrix3d operator- ( const matrix3d A)
friend