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
scalar &	operator() (int i, int j)
const scalar &	operator() (int i, int j) const
const vector3d	operator* (const vector3d &v) const
const matrix3d &	operator+= (const matrix3d &b)
const matrix3d &	operator-= (const matrix3d &b)
const matrix3d &	operator*= (const matrix3d &b)
const matrix3d &	operator*= (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

Referenced by adjoint(), operator*(), operator+(), and operator-().

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

inline

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::matrix3d

The 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::matrix3d

The inverse of the invoking matrix (if nonsingular), else the zero matrix if not invertible (singular).

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

inline

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

inline

const vector3d math::matrix3d::operator* ( const vector3d &  v ) const

inline

References math::vector3d::x, math::vector3d::y, and math::vector3d::z.

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

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