Matrix4D Class Reference

List of all members.

Public Member Functions
	Matrix4D (void)
	Matrix4D (const Matrix3D &m)
	Matrix4D (const Matrix3D &m, const Point3D &p)
double &	operator() (int col, int row)
double &	index (int col, int row)
double	det (void) const
Matrix4D	operator- (void) const
Matrix4D	mult (const Matrix4D &m) const
Matrix4D	operator * (const Matrix4D &m) const
Matrix4D &	operator *= (const Matrix4D &m)
Matrix4D	add (const Matrix4D &m) const
Matrix4D	operator+ (const Matrix4D &m) const
Matrix4D &	operator+= (const Matrix4D &m)
Matrix4D	subtract (const Matrix4D &m) const
Matrix4D	operator- (const Matrix4D &m) const
Matrix4D &	operator-= (const Matrix4D &m)
Matrix4D	mult (double f) const
Matrix4D	operator * (double f) const
Matrix4D &	operator *= (double f)
Matrix4D	div (double f) const
Matrix4D	operator/ (double f) const
Matrix4D &	operator/= (double f)
Matrix4D	transpose (void) const
Matrix4D	invert (void) const
Point3D	operator * (const Point3D &p) const
Point3D	multPosition (const Point3D &position) const
Point3D	multDirection (const Point3D &direction) const
Point3D	multNormal (const Point3D &normal) const
Ray3D	mult (const Ray3D &ray) const
Ray3D	operator * (const Ray3D &ray) const
Point3D	toEuler (void) const
double	squareNorm (void) const
Static Public Member Functions
static int	Invert (const Matrix4D &in, Matrix4D &out)
static Matrix4D	IdentityMatrix (void)
static double	SquareL2Difference (const Matrix4D &m1, const Matrix4D &m2)
Public Attributes
double	m [4][4]

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Detailed Description

This class represents a 4x4 matrix, used to represnt projective transformations.

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Constructor & Destructor Documentation

Matrix4D::Matrix4D (  void   )

This constructor generates an identity matrix

Matrix4D::Matrix4D (  const Matrix3D &  m  )

This constructor initializes the upper 3x3 entries of the matrix

Matrix4D::Matrix4D (  const Matrix3D &  m, const Point3D &  p )

This constructor initializes the upper 3x3 entries of the matrix with the matrix and sets the last colume to the translation

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Member Function Documentation

Matrix4D Matrix4D::add (  const Matrix4D &  m  )  const

This method adds two matrices and returns the sum.

double Matrix4D::det (  void   )  const

This method returns the determinant of the matrix.

Matrix4D Matrix4D::div (  double  f  )  const

This method divides the entries of a matrix and returns a new matrix.

Matrix4D Matrix4D::IdentityMatrix (  void   )  [static]

This static method returns the identity matrix.

double & Matrix4D::index (  int  col, int  row )

This method returns the entry of the matrix in the col-th column and the row-th row.

int Matrix4D::Invert (  const Matrix4D &  in, Matrix4D &  out )  [static]

This static method tries to invert the input matrix and write it out into the output. A value of 0 is returned if the matrix has 0 determinant.

Matrix4D Matrix4D::invert (  void   )  const

This method returns the inverse of a matrix. (Note that it does not change the entries of the current matrix.)

Ray3D Matrix4D::mult (  const Ray3D &  ray  )  const

This method applies the projective transformation to a ray.

Matrix4D Matrix4D::mult (  double  f  )  const

This method scales the entries of a matrix and returns a new matrix.

Matrix4D Matrix4D::mult (  const Matrix4D &  m  )  const

This method multiplies two matrices and returns the product.

Point3D Matrix4D::multDirection (  const Point3D &  direction  )  const

This method applies the linear part of the transformation to a 3D point.

Point3D Matrix4D::multNormal (  const Point3D &  normal  )  const

This method applies the linear part of the transformatoin to a normal, (i.e. multiplying by the inverse transpose).

Point3D Matrix4D::multPosition (  const Point3D &  position  )  const

This method applies the full projective transformation to a 3D point.

Ray3D Matrix4D::operator * (  const Ray3D &  ray  )  const

This method applies the projective transformation to a ray.

Point3D Matrix4D::operator * (  const Point3D &  p  )  const

This method applies the full projective transformation to a 3D point.

Matrix4D Matrix4D::operator * (  double  f  )  const

This method scales the entries of a matrix and returns a new matrix.

Matrix4D Matrix4D::operator * (  const Matrix4D &  m  )  const

This method multiplies two matrices and returns the product.

Matrix4D & Matrix4D::operator *= (  double  f  )

This method scales the entries of the current matrix.

Matrix4D & Matrix4D::operator *= (  const Matrix4D &  m  )

This method multiplies the current matrix (on the right) by the input matrix..

double & Matrix4D::operator() (  int  col, int  row )

This method returns the entry of the matrix in the col-th column and the row-th row.

Matrix4D Matrix4D::operator+ (  const Matrix4D &  m  )  const

This method adds two matrices and returns the sum.

Matrix4D & Matrix4D::operator+= (  const Matrix4D &  m  )

This method adds the input matrix to the current matrix.

Matrix4D Matrix4D::operator- (  const Matrix4D &  m  )  const

This method subtracts two matrices and returns the difference.

Matrix4D Matrix4D::operator- (  void   )  const

This method returns the negative of a matrix

Matrix4D & Matrix4D::operator-= (  const Matrix4D &  m  )

This method subtracts the input matrix from the current matrix.

Matrix4D Matrix4D::operator/ (  double  f  )  const

This method divides the entries of a matrix and returns a new matrix.

Matrix4D & Matrix4D::operator/= (  double  f  )

This method divides the entries of the current matrix.

double Matrix4D::SquareL2Difference (  const Matrix4D &  m1, const Matrix4D &  m2 )  [static]

This method returns sum of the squares of the entries of the difference matrix.

double Matrix4D::squareNorm (  void   )  const

This method returns the sum of the squares of the matrix entries

Matrix4D Matrix4D::subtract (  const Matrix4D &  m  )  const

This method subtracts two matrices and returns the difference.

Point3D Matrix4D::toEuler (  void   )  const

This method returns the Euler Angles of a rotation matrix

Matrix4D Matrix4D::transpose (  void   )  const

This method returns the transpose of a matrix. (Note that it does not change the entries of the current matrix.)

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Member Data Documentation

double Matrix4D::m[4][4]

The actual matrix entries

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