Files Class List
Matrix3d Class Reference

Detailed Description

3x3 Matrix class with double type elements

+ Inheritance diagram for Matrix3d:

Public Member Functions

Unary and Binary Operators
Matrix3 operator* (const double &value) const
 
Matrix3 operator* (const Matrix3 &right) const
 
Point3< double > operator* (const Point3< double > &p) const
 
Matrix3 operator- () const
 
Matrix3 operator- (const Matrix3 &right) const
 
Matrix3 operator/ (const double &value) const
 
Matrix3 operator+ (const Matrix3 &right) const
 
Set & Get Methods
void Zero ()
 
bool IsZero () const
 
void Get (double *values)
 
void Set (const double *values)
 
void Set (const Point3< double > &x, const Point3< double > &y, const Point3< double > &z)
 
void SetIdentity ()
 
void SetScaledIdentity (double v)
 
void SetTensorProduct (const Point3< double > &v0, const Point3< double > &v1)
 
void SetCrossProd (const Point3< double > &p)
 
Affine transformations
void SetScale (const double &uniformScale)
 
void SetScale (const double &scaleX, const double &scaleY, const double &scaleZ)
 
void SetScale (const Point3< double > &scale)
 
void SetNoScale ()
 
void SetRotationX (double angle)
 
void SetRotationX (double sinAngle, double cosAngle)
 
void SetRotationY (double angle)
 
void SetRotationY (double sinAngle, double cosAngle)
 
void SetRotationZ (double angle)
 
void SetRotationZ (double sinAngle, double cosAngle)
 
void SetRotationXYZ (double angleX, double angleY, double angleZ)
 
void SetRotationZYX (double angleX, double angleY, double angleZ)
 
void SetRotation (const Point3< double > &axis, double angle)
 
void SetRotation (const Point3< double > &axis, double sinAngle, double cosAngle)
 
void SetRotation (const Point3< double > &from, const Point3< double > &to)
 
void SetView (const Point3< double > &target, const Point3< double > &up)
 
void SetNormal (const Point3< double > &normal, const Point3< double > &dir)
 
Set Row, Column, or Diagonal
void SetRow (int row, double x, double y, double z)
 
void SetColumn (int column, double x, double y, double z)
 
void SetDiagonal (const double &xx, const double &yy, const double &zz)
 
void SetDiagonal (const Point3< double > &p)
 
void SetDiagonal (const double *values)
 
Get Row, Column, or Diagonal
Point3< double > GetRow (int row) const
 
void GetRow (int row, Point3< double > &p) const
 
void GetRow (int row, double *values) const
 
Point3< double > GetColumn (int col) const
 
void GetColumn (int col, Point3< double > &p) const
 
void GetColumn (int col, double *values) const
 
Point3< double > GetDiagonal () const
 
void GetDiagonal (Point3< double > &p) const
 
void GetDiagonal (double *values) const
 
Get Sub-matrix data
void GetSubMatrix (Matrix2< double > &m) const
 
Matrix2< double > GetSubMatrix2 () const
 
void GetSubMatrix2 (Matrix2< double > &m) const
 
void GetSubMatrix2 (double *mdata) const
 
Comparison Operators
bool operator== (const Matrix3 &right) const
 
bool operator!= (const Matrix3 &right) const
 
Access Operators
double & operator() (int row, int column)
 
const double & operator() (int row, int column) const
 
double & operator[] (int i)
 
const double & operator[] (int i) const
 
Assignment Operators
const Matrix3operator*= (const Matrix3 &right)
 
const Matrix3operator*= (const double &value)
 
const Matrix3operator+= (const Matrix3 &right)
 
const Matrix3operator-= (const Matrix3 &right)
 
const Matrix3operator/= (const double &value)
 
Other Methods
void Transpose ()
 
void GetTranspose (Matrix3 &m) const
 
Matrix3 GetTranspose () const
 
Point3< double > TransposeMult (const Point3< double > &p) const
 
double GetDeterminant () const
 
void Invert ()
 
void GetInverse (Matrix3 &inverse) const
 
Matrix3 GetInverse () const
 
void OrthogonalizeX ()
 
void OrthogonalizeY ()
 
void OrthogonalizeZ ()
 
bool IsIdentity (double tollerance=double(0.001)) const
 
bool IsSymmetric (double tollerance=double(0.001)) const
 

Static Public Member Functions

Static Methods
static Matrix3 MatrixIdentity ()
 
static Matrix3 MatrixView (const Point3< double > &target, Point3< double > &up)
 
static Matrix3 MatrixNormal (const Point3< double > &normal, Point3< double > &dir)
 
static Matrix3 MatrixRotationX (double angle)
 
static Matrix3 MatrixRotationY (double angle)
 
static Matrix3 MatrixRotationZ (double angle)
 
static Matrix3 MatrixRotationXYZ (double angleX, double angleY, double angleZ)
 
static Matrix3 MatrixRotationZYX (double angleX, double angleY, double angleZ)
 
static Matrix3 MatrixRotation (const Point3< double > &axis, double angle)
 
static Matrix3 MatrixRotation (const Point3< double > &from, const Point3< double > &to)
 
static Matrix3 MatrixScale (const double &uniformScale)
 
static Matrix3 MatrixScale (const double &scaleX, const double &scaleY, const double &scaleZ)
 
static Matrix3 MatrixScale (const Point3< double > &scale)
 
static Matrix3 MatrixCrossProd (const Point3< double > &a)
 

Public Attributes

double data [9]
 

Member Function Documentation

§ operator*() [1/3]

Matrix3 operator* ( const double &  value) const
inherited

multiply matrix by a value

§ operator*() [2/3]

Matrix3 operator* ( const Matrix3< double > &  right) const
inherited

< multiply a matrix with another

§ operator*() [3/3]

Point3<double > operator* ( const Point3< double > &  p) const
inherited

negative matrix

§ Zero()

void Zero ( )
inherited

Set all the values as zero.

§ IsZero()

bool IsZero ( ) const
inherited

Returns true if the matrix is exactly zero.

§ Get()

void Get ( double *  values)
inherited

Copies the matrix data to the given values array of size 9.

§ Set() [1/2]

void Set ( const double *  values)
inherited

Set matrix using an array of 9 values.

§ Set() [2/2]

void Set ( const Point3< double > &  x,
const Point3< double > &  y,
const Point3< double > &  z 
)
inherited

Set matrix using x,y,z vectors as columns.

§ SetIdentity()

void SetIdentity ( )
inherited

Converts the matrix to an identity matrix.

§ SetScaledIdentity()

void SetScaledIdentity ( double  v)
inherited

Converts the matrix to an identity matrix scaled by a scalar.

§ SetTensorProduct()

void SetTensorProduct ( const Point3< double > &  v0,
const Point3< double > &  v1 
)
inherited

Sets the matrix as the tensor product (outer product) of two vectors.

§ SetCrossProd()

void SetCrossProd ( const Point3< double > &  p)
inherited

Matrix representation of the cross product ( a x b)

§ SetScale() [1/3]

void SetScale ( const double &  uniformScale)
inherited

Sets a uniform scale matrix.

§ SetScale() [2/3]

void SetScale ( const double &  scaleX,
const double &  scaleY,
const double &  scaleZ 
)
inherited

Sets a scale matrix.

§ SetScale() [3/3]

void SetScale ( const Point3< double > &  scale)
inherited

Sets a scale matrix.

§ SetNoScale()

void SetNoScale ( )
inherited

Removes the scale component of the matrix.

§ SetRotationX() [1/2]

void SetRotationX ( double  angle)
inherited

Set as rotation matrix around x axis.

§ SetRotationX() [2/2]

void SetRotationX ( double  sinAngle,
double  cosAngle 
)
inherited

Set as rotation matrix around x axis by cos and sin of angle.

§ SetRotationY() [1/2]

void SetRotationY ( double  angle)
inherited

Set as rotation matrix around y axis.

§ SetRotationY() [2/2]

void SetRotationY ( double  sinAngle,
double  cosAngle 
)
inherited

Set as rotation matrix around y axis by cos and sin of angle.

§ SetRotationZ() [1/2]

void SetRotationZ ( double  angle)
inherited

Set as rotation matrix around z axis.

§ SetRotationZ() [2/2]

void SetRotationZ ( double  sinAngle,
double  cosAngle 
)
inherited

Set as rotation matrix around z axis by cos and sin of angle.

§ SetRotationXYZ()

void SetRotationXYZ ( double  angleX,
double  angleY,
double  angleZ 
)
inherited

Set as rotation matrix around x, y, and then z axes ( Rz * Ry * Rx )

§ SetRotationZYX()

void SetRotationZYX ( double  angleX,
double  angleY,
double  angleZ 
)
inherited

Set as rotation matrix around z, y, and then x axes ( Rx * Ry * Rz )

§ SetRotation() [1/3]

void SetRotation ( const Point3< double > &  axis,
double  angle 
)
inherited

Set a rotation matrix about the given axis by angle.

§ SetRotation() [2/3]

void SetRotation ( const Point3< double > &  axis,
double  sinAngle,
double  cosAngle 
)
inherited

Set a rotation matrix about the given axis by cos and sin of angle.

§ SetRotation() [3/3]

void SetRotation ( const Point3< double > &  from,
const Point3< double > &  to 
)
inherited

Set a rotation matrix that sets [from] unit vector to [to] unit vector.

§ SetView()

void SetView ( const Point3< double > &  target,
const Point3< double > &  up 
)
inherited

Set view matrix using position, target and approximate up vector.

§ SetNormal()

void SetNormal ( const Point3< double > &  normal,
const Point3< double > &  dir 
)
inherited

Set matrix using normal, and approximate x direction.

§ SetRow()

void SetRow ( int  row,
double  x,
double  y,
double  z 
)
inherited

Sets a row of the matrix.

§ SetColumn()

void SetColumn ( int  column,
double  x,
double  y,
double  z 
)
inherited

Sets a column of the matrix.

§ SetDiagonal() [1/3]

void SetDiagonal ( const double &  xx,
const double &  yy,
const double &  zz 
)
inherited

Sets the diagonal values of the matrix.

§ SetDiagonal() [2/3]

void SetDiagonal ( const Point3< double > &  p)
inherited

Sets the diagonal values of the matrix.

§ SetDiagonal() [3/3]

void SetDiagonal ( const double *  values)
inherited

Sets the diagonal values of the matrix.

§ GetRow() [1/3]

Point3<double > GetRow ( int  row) const
inherited

Returns a row of the matrix.

§ GetRow() [2/3]

void GetRow ( int  row,
Point3< double > &  p 
) const
inherited

Returns a row of the matrix.

§ GetRow() [3/3]

void GetRow ( int  row,
double *  values 
) const
inherited

Returns a row of the matrix.

§ GetColumn() [1/3]

Point3<double > GetColumn ( int  col) const
inherited

Returns a column of the matrix.

§ GetColumn() [2/3]

void GetColumn ( int  col,
Point3< double > &  p 
) const
inherited

Returns a column of the matrix.

§ GetColumn() [3/3]

void GetColumn ( int  col,
double *  values 
) const
inherited

Returns a column of the matrix.

§ GetDiagonal() [1/3]

Point3<double > GetDiagonal ( ) const
inherited

Returns the diagonal of the matrix.

§ GetDiagonal() [2/3]

void GetDiagonal ( Point3< double > &  p) const
inherited

Returns the diagonal of the matrix.

§ GetDiagonal() [3/3]

void GetDiagonal ( double *  values) const
inherited

Returns the diagonal of the matrix.

§ GetSubMatrix()

void GetSubMatrix ( Matrix2< double > &  m) const
inherited

Returns the 2x2 portion of the matrix.

§ GetSubMatrix2() [1/3]

Matrix2<double > GetSubMatrix2 ( ) const
inherited

Returns the 2x2 portion of the matrix.

§ GetSubMatrix2() [2/3]

void GetSubMatrix2 ( Matrix2< double > &  m) const
inherited

Returns the 2x2 portion of the matrix.

§ GetSubMatrix2() [3/3]

void GetSubMatrix2 ( double *  mdata) const
inherited

Returns the 2x2 portion of the matrix.

§ operator==()

bool operator== ( const Matrix3< double > &  right) const
inherited

compare equal

§ operator!=()

bool operator!= ( const Matrix3< double > &  right) const
inherited

compare not equal

§ operator()() [1/2]

double & operator() ( int  row,
int  column 
)
inherited

subscript operator

§ operator()() [2/2]

const double & operator() ( int  row,
int  column 
) const
inherited

constant subscript operator

§ operator[]() [1/2]

double & operator[] ( int  i)
inherited

subscript operator

§ operator[]() [2/2]

const double & operator[] ( int  i) const
inherited

constant subscript operator

§ operator-() [1/2]

Matrix3 operator- ( ) const
inherited

negative matrix

§ operator-() [2/2]

Matrix3 operator- ( const Matrix3< double > &  right) const
inherited

subtract one Matrix3 from another

§ operator/()

Matrix3 operator/ ( const double &  value) const
inherited

divide matrix by a value;

§ operator+()

Matrix3 operator+ ( const Matrix3< double > &  right) const
inherited

add two Matrices

§ operator*=() [1/2]

const Matrix3& operator*= ( const Matrix3< double > &  right)
inherited

multiply a matrix with another matrix and modify this matrix

§ operator*=() [2/2]

const Matrix3& operator*= ( const double &  value)
inherited

multiply a matrix with a value modify this matrix

§ operator+=()

const Matrix3& operator+= ( const Matrix3< double > &  right)
inherited

add two Matrices modify this

§ operator-=()

const Matrix3& operator-= ( const Matrix3< double > &  right)
inherited

subtract one Matrix3 from another matrix and modify this matrix

§ operator/=()

const Matrix3& operator/= ( const double &  value)
inherited

divide the matrix by a value modify the this matrix

§ Transpose()

void Transpose ( )
inherited

< return Transpose of this matrix

§ GetTranspose() [1/2]

void GetTranspose ( Matrix3< double > &  m) const
inherited

< return Transpose of this matrix

§ GetTranspose() [2/2]

Matrix3 GetTranspose ( ) const
inherited

return Transpose of this matrix

§ TransposeMult()

Point3<double > TransposeMult ( const Point3< double > &  p) const
inherited

Multiply the give vector with the transpose of the matrix.

§ GetDeterminant()

double GetDeterminant ( ) const
inherited

< Get the determinant of this matrix

§ Invert()

void Invert ( )
inherited

Invert this matrix.

§ GetInverse() [1/2]

void GetInverse ( Matrix3< double > &  inverse) const
inherited

< Get the inverse of this matrix

§ GetInverse() [2/2]

Matrix3 GetInverse ( ) const
inherited

Get the inverse of this matrix.

§ OrthogonalizeX()

void OrthogonalizeX ( )
inherited

Orthogonalizes the matrix and removes the scale component, preserving the x direction.

§ OrthogonalizeY()

void OrthogonalizeY ( )
inherited

Orthogonalizes the matrix and removes the scale component, preserving the y direction.

§ OrthogonalizeZ()

void OrthogonalizeZ ( )
inherited

Orthogonalizes the matrix and removes the scale component, preserving the z direction.

§ IsIdentity()

bool IsIdentity ( double  tollerance = TYPE(0.001)) const
inherited

Returns if the matrix is identity within the given error tollerance.

§ IsSymmetric()

bool IsSymmetric ( double  tollerance = TYPE(0.001)) const
inherited

Returns if the matrix is symmetric within the given error tollerance.

§ MatrixIdentity()

static Matrix3 MatrixIdentity ( )
staticinherited

Returns an identity matrix.

§ MatrixView()

static Matrix3 MatrixView ( const Point3< double > &  target,
Point3< double > &  up 
)
staticinherited

Returns a view matrix using position, target and approximate up vector.

§ MatrixNormal()

static Matrix3 MatrixNormal ( const Point3< double > &  normal,
Point3< double > &  dir 
)
staticinherited

Returns a matrix using normal, and approximate x direction.

§ MatrixRotationX()

static Matrix3 MatrixRotationX ( double  angle)
staticinherited

Returns a rotation matrix around x axis by angle in radians.

§ MatrixRotationY()

static Matrix3 MatrixRotationY ( double  angle)
staticinherited

Returns a rotation matrix around y axis by angle in radians.

§ MatrixRotationZ()

static Matrix3 MatrixRotationZ ( double  angle)
staticinherited

Returns a rotation matrix around z axis by angle in radians.

§ MatrixRotationXYZ()

static Matrix3 MatrixRotationXYZ ( double  angleX,
double  angleY,
double  angleZ 
)
staticinherited

Returns a rotation matrix around x, y, and then z axes by angle in radians (Rz * Ry * Rx)

§ MatrixRotationZYX()

static Matrix3 MatrixRotationZYX ( double  angleX,
double  angleY,
double  angleZ 
)
staticinherited

Returns a rotation matrix around z, y, and then x axes by angle in radians (Rx * Ry * Rz)

§ MatrixRotation() [1/2]

static Matrix3 MatrixRotation ( const Point3< double > &  axis,
double  angle 
)
staticinherited

Returns a rotation matrix about the given axis by angle in radians.

§ MatrixRotation() [2/2]

static Matrix3 MatrixRotation ( const Point3< double > &  from,
const Point3< double > &  to 
)
staticinherited

Returns a rotation matrix that sets [from] unit vector to [to] unit vector.

§ MatrixScale() [1/3]

static Matrix3 MatrixScale ( const double &  uniformScale)
staticinherited

Returns a uniform scale matrix.

§ MatrixScale() [2/3]

static Matrix3 MatrixScale ( const double &  scaleX,
const double &  scaleY,
const double &  scaleZ 
)
staticinherited

Returns a scale matrix.

§ MatrixScale() [3/3]

static Matrix3 MatrixScale ( const Point3< double > &  scale)
staticinherited

Returns a scale matrix.

§ MatrixCrossProd()

static Matrix3 MatrixCrossProd ( const Point3< double > &  a)
staticinherited

Returns the matrix representation of cross product ( a x b )

Member Data Documentation

§ data

double data[9]
inherited

Elements of the matrix are column-major:
| 0 3 6 |
| 1 4 7 |
| 2 5 8 |
.