Matrix2 Class Reference

Inheritance diagram for Matrix2:

Public Member Functions
	Matrix2 ()
	constructor
	Matrix2 (MatrixBase< 2 > const &m)
	automatic conversion from MatrixBase<2>
real	rotationAngle () const
	rotation angle
Public Member Functions inherited from MatrixBase< 2 >
	MatrixBase ()
	The default creator does not initialize.
	MatrixBase (real v[SZ][SZ])
	Copy-creator from a C-style array.
	MatrixBase (real v[SZ *SZ])
	Copy-creator from a Fortran-style array.
virtual	~MatrixBase ()
	The default destructor does nothing.
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 Matrix2	rotationFromEulerAngles (real a)
	calculate rotation angle and Euler angle of axis
static Matrix2	rotationAroundAxis (real dir, real angle)
	a rotation around the given axis
static Matrix2	rotationToVector (const Vector2 &vec)
	return a rotation that transforms (1,0,0) into vec ( norm(vec) should be > 0 )
static Matrix2	rotationToVector (const Vector2 &vec, Random &)
	return a random rotation that transforms (1,0,0) into vec ( norm(vec) should be > 0 )
static Matrix2	randomRotation (Random &)
	a random rotation chosen uniformly
Static Public Member Functions inherited from MatrixBase< 2 >
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'

Additional Inherited Members
Public Attributes inherited from MatrixBase< 2 >
real	val [SZ *SZ]
	the array of value, column-major