4-Dimensional Matrix Class

#include <matrix.h>

Public Member Functions
const matrix4d	adjoint () const
	calculate the adjoint of a 4x4 matrix More...

const scalar	determinant () const
	calculate the determinant of a 4x4 matrix More...

void	identity ()

const matrix4d	inverse () const
	calculate the inverse of a 4x4 matrix More...

void	transpose ()

void	zero ()

class construction and destruction
	matrix4d ()

	matrix4d (const vector4d &c0, const vector4d &c1, const vector4d &c2, const vector4d &c3)

	matrix4d (scalar m11, scalar m12, scalar m13, scalar m14, scalar m21, scalar m22, scalar m23, scalar m24, scalar m31, scalar m32, scalar m33, scalar m34, scalar m41, scalar m42, scalar m43, scalar m44)

	matrix4d (const scalar *m)

class member operators
scalar &	operator() (int i, int j)

const scalar &	operator() (int i, int j) const

const vector4d	operator* (const vector4d &v) const

const matrix4d &	operator+= (const matrix4d &b)

const matrix4d &	operator-= (const matrix4d &b)

const matrix4d &	operator*= (const matrix4d &b)

const matrix4d &	operator*= (const scalar &s)

const matrix4d	operator+ (const matrix4d &m) const

const matrix4d	operator- (const matrix4d &m) const

const matrix4d	operator* (const matrix4d &m) const

Friends
const matrix4d	operator* (const scalar &s, const matrix4d &A)

const matrix4d	operator- (const matrix4d &A)

math::matrix4d::matrix4d ( )

inline

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

math::matrix4d::matrix4d	(	const vector4d &	c0,
		const vector4d &	c1,
		const vector4d &	c2,
		const vector4d &	c3
	)

inline

math::matrix4d::matrix4d	(	scalar	m11,
		scalar	m12,
		scalar	m13,
		scalar	m14,
		scalar	m21,
		scalar	m22,
		scalar	m23,
		scalar	m24,
		scalar	m31,
		scalar	m32,
		scalar	m33,
		scalar	m34,
		scalar	m41,
		scalar	m42,
		scalar	m43,
		scalar	m44
	)

inline

math::matrix4d::matrix4d ( const scalar * m )

inlineexplicit

const matrix4d math::matrix4d::adjoint ( ) const

calculate the adjoint of a 4x4 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::matrix4d The adjoint of the invoking object.

References _m11, _m12, _m13, _m14, _m21, _m22, _m23, _m24, _m31, _m32, _m33, _m34, _m41, _m42, _m43, _m44, math::det(), and matrix4d().

const scalar math::matrix4d::determinant ( ) const

calculate the determinant of a 4x4 matrix

Calculate the caller's determinant via minors with cofactor expansion along the first row. The determinant of a square matrix 'A' can be computed by multiplying the entries in any row or column by their cofactors and adding the resulting products. For each 1 <= i <= n and 1 <= j <= n, cofactor expansion on the jth column is:

\[ det(A) = a_{1j} C_{1j} + a_{2j} C_{2j} + ... + a_{nj} C_{nj} \]

and cofactor expansion on the ith row is:

\[ det(A) = a_{i1} C_{i1} + a_{i2} C_{i2} + ... + a_{in} C_{in} \]

Return values

scalar The real-valued determinant of the invoking object.

References _m11, _m12, _m13, _m14, _m21, _m22, _m23, _m24, _m31, _m32, _m33, _m34, _m41, _m42, _m43, _m44, and math::det().

void math::matrix4d::identity ( )

inline

const matrix4d math::matrix4d::inverse ( ) const

calculate the inverse of a 4x4 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::matrix4d The inverse of the invoking matrix (if nonsingular), else the zero matrix if not invertible (singular).

scalar& math::matrix4d::operator()	(	int	i,
		int	j
	)

inline

const scalar& math::matrix4d::operator()	(	int	i,
		int	j
	)		const

inline

const vector4d math::matrix4d::operator* ( const vector4d & v ) const

inline

References math::vector4d::w, math::vector4d::x, math::vector4d::y, and math::vector4d::z.

const matrix4d math::matrix4d::operator* ( const matrix4d & m ) const

inline

References matrix4d().

const matrix4d& math::matrix4d::operator*= ( const matrix4d & b )

inline

const matrix4d& math::matrix4d::operator*= ( const scalar & s )

inline

const matrix4d math::matrix4d::operator+ ( const matrix4d & m ) const

inline

References matrix4d().

const matrix4d& math::matrix4d::operator+= ( const matrix4d & b )

inline

const matrix4d math::matrix4d::operator- ( const matrix4d & m ) const

inline

References matrix4d().

const matrix4d& math::matrix4d::operator-= ( const matrix4d & b )

inline

void math::matrix4d::transpose ( )

inline

void math::matrix4d::zero ( )

inline

const matrix4d operator*	(	const scalar &	s,
		const matrix4d &	A
	)

friend

const matrix4d operator- ( const matrix4d & A )

friend

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Public Member Functions

Friends