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csDMatrix3 Class Reference
[Geometry utilities]

A 3x3 matrix. More...

#include <csgeom/math3d_d.h>

List of all members.

Public Member Functions

 csDMatrix3 ()
 Construct a matrix, initialized to be the identity.
 csDMatrix3 (double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33)
 Construct a matrix and initialize it.
csDVector3 Row1 () const
 Get the first row of this matrix as a vector.
csDVector3 Row2 () const
 Get the second row of this matrix as a vector.
csDVector3 Row3 () const
 Get the third row of this matrix as a vector.
csDVector3 Col1 () const
 Get the first column of this matrix as a vector.
csDVector3 Col2 () const
 Get the second column of this matrix as a vector.
csDVector3 Col3 () const
 Get the third column of this matrix as a vector.
void Set (double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33)
 Set matrix values.
csDMatrix3operator+= (const csDMatrix3 &m)
 Add another matrix to this matrix.
csDMatrix3operator-= (const csDMatrix3 &m)
 Subtract another matrix from this matrix.
csDMatrix3operator *= (const csDMatrix3 &m)
 Multiply another matrix with this matrix.
csDMatrix3operator *= (double s)
 Multiply this matrix with a scalar.
csDMatrix3operator/= (double s)
 Divide this matrix by a scalar.
csDMatrix3 operator+ () const
 Unary + operator.
csDMatrix3 operator- () const
 Unary - operator.
void Transpose ()
 Transpose this matrix.
csDMatrix3 GetTranspose () const
 Return the transpose of this matrix.
csDMatrix3 GetInverse () const
 Return the inverse of this matrix.
void Invert ()
 Invert this matrix.
double Determinant () const
 Compute the determinant of this matrix.
void Identity ()
 Set this matrix to the identity matrix.

Friends

csDMatrix3 operator+ (const csDMatrix3 &m1, const csDMatrix3 &m2)
 Add two matricies.
csDMatrix3 operator- (const csDMatrix3 &m1, const csDMatrix3 &m2)
 Subtract two matricies.
csDMatrix3 operator * (const csDMatrix3 &m1, const csDMatrix3 &m2)
 Multiply two matricies.
csDVector3 operator * (const csDMatrix3 &m, const csDVector3 &v)
 Multiply a vector by a matrix (transform it).
csDMatrix3 operator * (const csDMatrix3 &m, double f)
 Multiply a matrix and a scalar.
csDMatrix3 operator * (double f, const csDMatrix3 &m)
 Multiply a matrix and a scalar.
csDMatrix3 operator/ (const csDMatrix3 &m, double f)
 Divide a matrix by a scalar.
bool operator== (const csDMatrix3 &m1, const csDMatrix3 &m2)
 Check if two matricies are equal.
bool operator!= (const csDMatrix3 &m1, const csDMatrix3 &m2)
 Check if two matricies are not equal.
bool operator< (const csDMatrix3 &m, double f)
 Test if each component of a matrix is less than a small epsilon value.
bool operator> (double f, const csDMatrix3 &m)
 Test if each component of a matrix is greater than a small epsilon value.


Detailed Description

A 3x3 matrix.

Definition at line 222 of file math3d_d.h.


Constructor & Destructor Documentation

csDMatrix3::csDMatrix3  ) 
 

Construct a matrix, initialized to be the identity.

Referenced by operator-().

csDMatrix3::csDMatrix3 double  m11,
double  m12,
double  m13,
double  m21,
double  m22,
double  m23,
double  m31,
double  m32,
double  m33
 

Construct a matrix and initialize it.


Member Function Documentation

csDVector3 csDMatrix3::Col1  )  const [inline]
 

Get the first column of this matrix as a vector.

Definition at line 248 of file math3d_d.h.

csDVector3 csDMatrix3::Col2  )  const [inline]
 

Get the second column of this matrix as a vector.

Definition at line 251 of file math3d_d.h.

csDVector3 csDMatrix3::Col3  )  const [inline]
 

Get the third column of this matrix as a vector.

Definition at line 254 of file math3d_d.h.

double csDMatrix3::Determinant  )  const
 

Compute the determinant of this matrix.

csDMatrix3 csDMatrix3::GetInverse  )  const [inline]
 

Return the inverse of this matrix.

Definition at line 298 of file math3d_d.h.

References m11, m21, and m31.

Referenced by Invert().

csDMatrix3 csDMatrix3::GetTranspose  )  const
 

Return the transpose of this matrix.

void csDMatrix3::Identity  ) 
 

Set this matrix to the identity matrix.

void csDMatrix3::Invert  )  [inline]
 

Invert this matrix.

Definition at line 312 of file math3d_d.h.

References GetInverse().

csDMatrix3& csDMatrix3::operator *= double  s  ) 
 

Multiply this matrix with a scalar.

csDMatrix3& csDMatrix3::operator *= const csDMatrix3 m  ) 
 

Multiply another matrix with this matrix.

csDMatrix3 csDMatrix3::operator+  )  const [inline]
 

Unary + operator.

Definition at line 282 of file math3d_d.h.

csDMatrix3& csDMatrix3::operator+= const csDMatrix3 m  ) 
 

Add another matrix to this matrix.

csDMatrix3 csDMatrix3::operator-  )  const [inline]
 

Unary - operator.

Definition at line 284 of file math3d_d.h.

References csDMatrix3().

csDMatrix3& csDMatrix3::operator-= const csDMatrix3 m  ) 
 

Subtract another matrix from this matrix.

csDMatrix3& csDMatrix3::operator/= double  s  ) 
 

Divide this matrix by a scalar.

csDVector3 csDMatrix3::Row1  )  const [inline]
 

Get the first row of this matrix as a vector.

Definition at line 239 of file math3d_d.h.

csDVector3 csDMatrix3::Row2  )  const [inline]
 

Get the second row of this matrix as a vector.

Definition at line 242 of file math3d_d.h.

csDVector3 csDMatrix3::Row3  )  const [inline]
 

Get the third row of this matrix as a vector.

Definition at line 245 of file math3d_d.h.

void csDMatrix3::Set double  m11,
double  m12,
double  m13,
double  m21,
double  m22,
double  m23,
double  m31,
double  m32,
double  m33
[inline]
 

Set matrix values.

Definition at line 257 of file math3d_d.h.

void csDMatrix3::Transpose  ) 
 

Transpose this matrix.


Friends And Related Function Documentation

csDMatrix3 operator * double  f,
const csDMatrix3 m
[friend]
 

Multiply a matrix and a scalar.

csDMatrix3 operator * const csDMatrix3 m,
double  f
[friend]
 

Multiply a matrix and a scalar.

csDVector3 operator * const csDMatrix3 m,
const csDVector3 v
[friend]
 

Multiply a vector by a matrix (transform it).

Definition at line 328 of file math3d_d.h.

csDMatrix3 operator * const csDMatrix3 m1,
const csDMatrix3 m2
[friend]
 

Multiply two matricies.

bool operator!= const csDMatrix3 m1,
const csDMatrix3 m2
[friend]
 

Check if two matricies are not equal.

csDMatrix3 operator+ const csDMatrix3 m1,
const csDMatrix3 m2
[friend]
 

Add two matricies.

csDMatrix3 operator- const csDMatrix3 m1,
const csDMatrix3 m2
[friend]
 

Subtract two matricies.

csDMatrix3 operator/ const csDMatrix3 m,
double  f
[friend]
 

Divide a matrix by a scalar.

bool operator< const csDMatrix3 m,
double  f
[friend]
 

Test if each component of a matrix is less than a small epsilon value.

bool operator== const csDMatrix3 m1,
const csDMatrix3 m2
[friend]
 

Check if two matricies are equal.

bool operator> double  f,
const csDMatrix3 m
[friend]
 

Test if each component of a matrix is greater than a small epsilon value.


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