MatrixBase< SZ > Class Template Reference

Detailed Description

template<unsigned SZ>
class MatrixBase< SZ >

Square matrices of small dimensions.

The matrice's elements are stored in a one dimensional array to be compatible with FORTRAN routines Matrices for small dimensions: 1 2 or 3 can be used to represent transformations of the Vector class

Public Member Functions
	MatrixBase ()
	The default creator does not initialize.
virtual	~MatrixBase ()
	The default destructor does nothing.
	MatrixBase (real v[SZ][SZ])
	Copy-creator from a C-style array.
	MatrixBase (real v[SZ *SZ])
	Copy-creator from a Fortran-style array.
void	makeZero ()
	set all components to zero
void	makeIdentity ()
	set to Identity (ones on the diagonal, zero elsewhere)
	operator real * ()
	conversion to a modifiable real array
real &	operator() (const unsigned ii, const unsigned jj)
	access to modifiable elements of the matrix by (line, column)
real &	operator[] (const unsigned ii)
	access to modifiable elements by index in the array
void	getColumn (const unsigned jj, real vec[SZ]) const
	extract column vector at index jj
void	setColumn (const unsigned jj, const real vec[SZ])
	set column vector at index jj
void	getLine (const unsigned ii, real vec[SZ]) const
	extract line vector at index ii
void	setLine (const unsigned ii, const real vec[SZ])
	set line vector at index ii
MatrixBase	transposed () const
	return the transposed matrix
void	transpose ()
	transpose this matrix
real	determinant () const
	return the determinant of the matrix
MatrixBase	inverted () const
	return the inverse of the matrix
void	inverse ()
	replace by the inverse
real	maxNorm () const
	maximum of all fabs(element)
void	write (std::ostream &os) const
	formatted output
real	maxDeviationFromRotation () const
	calculate a distance to the subspace of rotations = maxNorm( M'*M - Id )
void	operator*= (const real a)
	multiply the matrix by the real scalar a
void	operator/= (const real a)
	divide the matrix by the real scalar a
void	operator+= (const MatrixBase m)
	add matrix m
void	operator-= (const MatrixBase m)
	subtract matrix m
void	vecMul (const real *in, real *out) const
	Vector multiplication: out <- M * in.
void	vecMul (real *vec) const
	Vector multiplication: vec <- M * vec.

Static Public Member Functions
static MatrixBase	one ()
	return identity matrix (ones on the diagonal, zero elsewhere)
static MatrixBase	zero ()
	return zero matrix
static MatrixBase	projectionMatrix (const real V[])
	build the projection matrix V * V'

Public Attributes
real	val [SZ *SZ]
	the array of value, column-major

Friends
MatrixBase	operator* (const MatrixBase &a, const real b)
	returns the matrix multiplied by a real scalar
MatrixBase	operator* (const real a, const MatrixBase &b)
	returns the matrix multiplied by the real scalar a
MatrixBase	operator+ (const MatrixBase &a, const MatrixBase &b)
	add two matrices and return the result
MatrixBase	operator- (const MatrixBase &a, const MatrixBase &b)
	substract two matrices and return the result
MatrixBase	operator* (const MatrixBase &a, const MatrixBase &b)
	multiply two matrices and return the result