ParaEngine::Matrix3x3 Class Reference

3x3 matrix. More...

#include <Matrix3x3.h>

Public Member Functions
	Matrix3x3 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Empty constructor Constructor from 9 values.
	Matrix3x3 (const D3DXMATRIX &mat4x4)
	Matrix3x3 (const Matrix3x3 &mat)
	Copy constructor.
void	Set (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Assign values.
void	SetScale (const D3DXVECTOR3 &p)
	Sets the scale from a D3DXVECTOR3. The point is put on the diagonal.
void	SetScale (float sx, float sy, float sz)
	Sets the scale from floats. Values are put on the diagonal.
void	Scale (const D3DXVECTOR3 &p)
	Scales from a D3DXVECTOR3. Each row is multiplied by a component.
void	Scale (float sx, float sy, float sz)
	Scales from floats. Each row is multiplied by a value.
void	Copy (const Matrix3x3 &source)
	Copy from a Matrix3x3.
void	GetRow (const DWORD r, D3DXVECTOR3 &p) const
	Returns a row.
const D3DXVECTOR3 &	GetRow (const DWORD r) const
	Returns a row.
D3DXVECTOR3 &	GetRow (const DWORD r)
	Returns a row.
void	SetRow (const DWORD r, const D3DXVECTOR3 &p)
	Sets a row.
void	GetCol (const DWORD c, D3DXVECTOR3 &p) const
	Returns a column.
void	SetCol (const DWORD c, const D3DXVECTOR3 &p)
	Sets a column.
float	Trace () const
	Computes the trace. The trace is the sum of the 3 diagonal components.
void	Zero ()
	Clears the matrix.
void	Identity ()
	Sets the identity matrix.
bool	IsIdentity () const
	Checks for identity.
void	SkewSymmetric (const D3DXVECTOR3 &a)
	Makes a skew-symmetric matrix (a.k.a. More...
void	Neg ()
	Negates the matrix.
void	Neg (const Matrix3x3 &mat)
	Neg from another matrix.
void	Add (const Matrix3x3 &mat)
	Add another matrix.
void	Sub (const Matrix3x3 &mat)
	Sub another matrix.
void	Mac (const Matrix3x3 &a, const Matrix3x3 &b, float s)
	Mac.
void	Mac (const Matrix3x3 &a, float s)
	Mac.
void	Mult (const Matrix3x3 &a, float s)
	this = A * s
void	Add (const Matrix3x3 &a, const Matrix3x3 &b)
void	Sub (const Matrix3x3 &a, const Matrix3x3 &b)
void	Mult (const Matrix3x3 &a, const Matrix3x3 &b)
	this = a * b
void	MultAtB (const Matrix3x3 &a, const Matrix3x3 &b)
	this = transpose(a) * b
void	MultABt (const Matrix3x3 &a, const Matrix3x3 &b)
	this = a * transpose(b)
Matrix3x3 &	FromTo (const D3DXVECTOR3 &from, const D3DXVECTOR3 &to)
	Makes a rotation matrix mapping vector "from" to vector "to".
void	RotX (float angle)
	Set a rotation matrix around the X axis. More...
void	RotY (float angle)
	Set a rotation matrix around the Y axis. More...
void	RotZ (float angle)
	Set a rotation matrix around the Z axis. More...
void	RotYX (float y, float x)
	cy sx.sy -sy.cx RY.RX 0 cx sx sy -sx.cy cx.cy
Matrix3x3 &	Rot (float angle, const D3DXVECTOR3 &axis)
	Make a rotation matrix about an arbitrary axis.
void	Transpose ()
	Transpose the matrix.
void	Transpose (const Matrix3x3 &a)
	this = Transpose(a)
float	Determinant () const
	Compute the determinant of the matrix. We use the rule of Sarrus.
Matrix3x3 &	Invert ()
	Invert the matrix. Determinant must be different from zero, else matrix can't be inverted.
Matrix3x3 &	Normalize ()
Matrix3x3 &	Exp (const Matrix3x3 &a)
	this = exp(a)
void	FromQuat (const D3DXQUATERNION &q)
void	FromQuatL2 (const D3DXQUATERNION &q, float l2)
Matrix3x3	operator+ (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;.
Matrix3x3	operator- (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;.
Matrix3x3	operator* (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;.
D3DXVECTOR3	operator* (const D3DXVECTOR3 &v) const
	Operator for D3DXVECTOR3 Mul = Matrix3x3 * D3DXVECTOR3;.
Matrix3x3	operator* (float s) const
	Operator for Matrix3x3 Mul = Matrix3x3 * float;.
Matrix3x3	operator/ (float s) const
	Operator for Matrix3x3 Div = Matrix3x3 / float;.
Matrix3x3 &	operator+= (const Matrix3x3 &mat)
	Operator for Matrix3x3 += Matrix3x3.
Matrix3x3 &	operator-= (const Matrix3x3 &mat)
	Operator for Matrix3x3 -= Matrix3x3.
Matrix3x3 &	operator*= (const Matrix3x3 &mat)
	Operator for Matrix3x3 *= Matrix3x3.
Matrix3x3 &	operator*= (float s)
	Operator for Matrix3x3 *= float.
Matrix3x3 &	operator/= (float s)
	Operator for Matrix3x3 /= float.
	operator D3DXMATRIX () const
	Cast a Matrix3x3 to a Matrix4x4.
	operator D3DXQUATERNION () const
	Cast a Matrix3x3 to a Quat.
const D3DXVECTOR3 &	operator[] (int row) const
D3DXVECTOR3 &	operator[] (int row)

Public Attributes
float	m [3][3]

Friends
Matrix3x3	operator* (float s, const Matrix3x3 &mat)
	Operator for Matrix3x3 Mul = float * Matrix3x3;.
Matrix3x3	operator/ (float s, const Matrix3x3 &mat)
	Operator for Matrix3x3 Div = float / Matrix3x3;.

Detailed Description

3x3 matrix.

DirectX-compliant, ie row-column order, ie m[Row][Col]. Same as: m11 m12 m13 first row. m21 m22 m23 second row. m31 m32 m33 third row. Stored in memory as m11 m12 m13 m21...

Multiplication rules:

[x'y'z'] = [xyz][M]

x' = x*m11 + y*m21 + z*m31 y' = x*m12 + y*m22 + z*m32 z' = x*m13 + y*m23 + z*m33

Member Function Documentation

RotX()

void ParaEngine::Matrix3x3::RotX ( float  angle )

inline

Set a rotation matrix around the X axis.

1 0 0 RX = 0 cx sx 0 -sx cx

RotY()

void ParaEngine::Matrix3x3::RotY ( float  angle )

inline

Set a rotation matrix around the Y axis.

cy 0 -sy RY = 0 1 0 sy 0 cy

RotZ()

void ParaEngine::Matrix3x3::RotZ ( float  angle )

inline

Set a rotation matrix around the Z axis.

cz sz 0 RZ = -sz cz 0 0 0 1

SkewSymmetric()

void ParaEngine::Matrix3x3::SkewSymmetric ( const D3DXVECTOR3 &  a )

inline

Makes a skew-symmetric matrix (a.k.a.

Star(*) Matrix) [ 0.0 -a.z a.y ] [ a.z 0.0 -a.x ] [ -a.y a.x 0.0 ] This is also called a "cross matrix" since for any vectors A and B, A^B = Skew(A) * B = - B * Skew(A);

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The documentation for this class was generated from the following files:

• Client/trunk/ParaEngineClient/Engine/Obsoleted/Matrix3x3.h
• Client/trunk/ParaEngineClient/Engine/Obsoleted/Matrix3x3.cpp