#include <IceMatrix3x3.h>

Public Member Functions
inline_ void	Add (const Matrix3x3 &a, const Matrix3x3 &b)

inline_ void	Add (const Matrix3x3 &mat)
	Add another matrix. More...

inline_ void	Copy (const Matrix3x3 &source)
	Copy from a Matrix3x3. More...

float	Determinant () const
	Compute the determinant of the matrix. We use the rule of Sarrus. More...

Matrix3x3 &	Exp (const Matrix3x3 &a)
	this = exp(a) More...

void	FromQuat (const Quat &q)

void	FromQuatL2 (const Quat &q, float l2)

Matrix3x3 &	FromTo (const Point &from, const Point &to)
	Makes a rotation matrix mapping vector "from" to vector "to". More...

inline_ void	GetCol (const udword c, Point &p) const
	Returns a column. More...

inline_ Point &	GetRow (const udword r)
	Returns a row. More...

const inline_ Point &	GetRow (const udword r) const
	Returns a row. More...

inline_ void	GetRow (const udword r, Point &p) const
	Returns a row. More...

inline_ void	Identity ()
	Sets the identity matrix. More...

Matrix3x3 &	Invert ()
	Invert the matrix. Determinant must be different from zero, else matrix can't be inverted. More...

inline_ bool	IsIdentity () const
	Checks for identity. More...

inline_ BOOL	IsValid () const
	Checks matrix validity. More...

inline_ void	Mac (const Matrix3x3 &a, const Matrix3x3 &b, float s)
	Mac. More...

inline_ void	Mac (const Matrix3x3 &a, float s)
	Mac. More...

inline_	Matrix3x3 ()
	Empty constructor. More...

inline_	Matrix3x3 (const Matrix3x3 &mat)
	Copy constructor. More...

inline_	Matrix3x3 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Constructor from 9 values. More...

inline_ void	Mult (const Matrix3x3 &a, const Matrix3x3 &b)
	this = a * b More...

inline_ void	Mult (const Matrix3x3 &a, float s)
	this = A * s More...

inline_ void	MultABt (const Matrix3x3 &a, const Matrix3x3 &b)
	this = a * transpose(b) More...

inline_ void	MultAtB (const Matrix3x3 &a, const Matrix3x3 &b)
	this = transpose(a) * b More...

inline_ void	Neg ()
	Negates the matrix. More...

inline_ void	Neg (const Matrix3x3 &mat)
	Neg from another matrix. More...

Matrix3x3 &	Normalize ()

	operator Matrix4x4 () const
	Cast a Matrix3x3 to a Matrix4x4. More...

	operator Quat () const
	Cast a Matrix3x3 to a Quat. More...

inline_ Matrix3x3	operator* (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;. More...

inline_ Point	operator* (const Point &v) const
	Operator for Point Mul = Matrix3x3 * Point;. More...

inline_ Matrix3x3	operator* (float s) const
	Operator for Matrix3x3 Mul = Matrix3x3 * float;. More...

inline_ Matrix3x3 &	operator*= (const Matrix3x3 &mat)
	Operator for Matrix3x3 *= Matrix3x3. More...

inline_ Matrix3x3 &	operator*= (float s)
	Operator for Matrix3x3 *= float. More...

inline_ Matrix3x3	operator+ (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;. More...

inline_ Matrix3x3 &	operator+= (const Matrix3x3 &mat)
	Operator for Matrix3x3 += Matrix3x3. More...

inline_ Matrix3x3	operator- (const Matrix3x3 &mat) const
	Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;. More...

inline_ Matrix3x3 &	operator-= (const Matrix3x3 &mat)
	Operator for Matrix3x3 -= Matrix3x3. More...

inline_ Matrix3x3	operator/ (float s) const
	Operator for Matrix3x3 Div = Matrix3x3 / float;. More...

inline_ Matrix3x3 &	operator/= (float s)
	Operator for Matrix3x3 /= float. More...

inline_ Point &	operator[] (int row)

const inline_ Point &	operator[] (int row) const

Matrix3x3 &	Rot (float angle, const Point &axis)
	Make a rotation matrix about an arbitrary axis. More...

void	RotX (float angle)

void	RotY (float angle)

void	RotYX (float y, float x)

void	RotZ (float angle)

inline_ void	Scale (const Point &p)
	Scales from a Point. Each row is multiplied by a component. More...

inline_ void	Scale (float sx, float sy, float sz)
	Scales from floats. Each row is multiplied by a value. More...

inline_ void	Set (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Assign values. More...

inline_ void	SetCol (const udword c, const Point &p)
	Sets a column. More...

inline_ void	SetRow (const udword r, const Point &p)
	Sets a row. More...

inline_ void	SetScale (const Point &p)
	Sets the scale from a Point. The point is put on the diagonal. More...

inline_ void	SetScale (float sx, float sy, float sz)
	Sets the scale from floats. Values are put on the diagonal. More...

inline_ void	SkewSymmetric (const Point &a)

inline_ void	Sub (const Matrix3x3 &a, const Matrix3x3 &b)

inline_ void	Sub (const Matrix3x3 &mat)
	Sub another matrix. More...

inline_ float	Trace () const
	Computes the trace. The trace is the sum of the 3 diagonal components. More...

void	Transpose ()
	Transpose the matrix. More...

void	Transpose (const Matrix3x3 &a)
	this = Transpose(a) More...

inline_ void	Zero ()
	Clears the matrix. More...

inline_	~Matrix3x3 ()
	Destructor. More...

Public Attributes
float	m [3][3]

Friends
inline_ friend Matrix3x3	operator* (float s, const Matrix3x3 &mat)
	Operator for Matrix3x3 Mul = float * Matrix3x3;. More...

inline_ friend Matrix3x3	operator/ (float s, const Matrix3x3 &mat)
	Operator for Matrix3x3 Div = float / Matrix3x3;. More...

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

Author: Pierre Terdiman

Version: 1.0

Definition at line 20 of file IceMatrix3x3.h.

Constructor & Destructor Documentation

◆ Matrix3x3() [1/3]

inline_ Matrix3x3::Matrix3x3 ( )

inline

Empty constructor.

Definition at line 24 of file IceMatrix3x3.h.

◆ Matrix3x3() [2/3]

inline_ Matrix3x3::Matrix3x3	(	float	m00,
		float	m01,
		float	m02,
		float	m10,
		float	m11,
		float	m12,
		float	m20,
		float	m21,
		float	m22
	)

inline

Constructor from 9 values.

Definition at line 26 of file IceMatrix3x3.h.

◆ Matrix3x3() [3/3]

inline_ Matrix3x3::Matrix3x3 ( const Matrix3x3 & mat )

inline

Copy constructor.

Definition at line 33 of file IceMatrix3x3.h.

◆ ~Matrix3x3()

inline_ Matrix3x3::~Matrix3x3 ( )

inline

Destructor.

Definition at line 35 of file IceMatrix3x3.h.

Member Function Documentation

◆ Add() [1/2]

inline_ void Matrix3x3::Add	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b
	)

inline

Definition at line 204 of file IceMatrix3x3.h.

◆ Add() [2/2]

inline_ void Matrix3x3::Add ( const Matrix3x3 & mat )

inline

Add another matrix.

Definition at line 159 of file IceMatrix3x3.h.

◆ Copy()

inline_ void Matrix3x3::Copy ( const Matrix3x3 & source )

inline

Copy from a Matrix3x3.

Definition at line 68 of file IceMatrix3x3.h.

◆ Determinant()

float Matrix3x3::Determinant ( ) const

inline

Compute the determinant of the matrix. We use the rule of Sarrus.

Definition at line 303 of file IceMatrix3x3.h.

◆ Exp()

Matrix3x3& Matrix3x3::Exp ( const Matrix3x3 & a )

this = exp(a)

◆ FromQuat()

void Matrix3x3::FromQuat ( const Quat & q )

◆ FromQuatL2()

void Matrix3x3::FromQuatL2	(	const Quat &	q,
		float	l2
	)

◆ FromTo()

Matrix3x3& Matrix3x3::FromTo	(	const Point &	from,
		const Point &	to
	)

Makes a rotation matrix mapping vector "from" to vector "to".

◆ GetCol()

inline_ void Matrix3x3::GetCol	(	const udword	c,
		Point &	p
	)		const

inline

Returns a column.

Definition at line 80 of file IceMatrix3x3.h.

◆ GetRow() [1/3]

inline_ Point& Matrix3x3::GetRow ( const udword r )

inline

Returns a row.

Definition at line 76 of file IceMatrix3x3.h.

◆ GetRow() [2/3]

const inline_ Point& Matrix3x3::GetRow ( const udword r ) const

inline

Returns a row.

Definition at line 74 of file IceMatrix3x3.h.

◆ GetRow() [3/3]

inline_ void Matrix3x3::GetRow	(	const udword	r,
		Point &	p
	)		const

inline

Returns a row.

Definition at line 72 of file IceMatrix3x3.h.

◆ Identity()

inline_ void Matrix3x3::Identity ( )

inline

Sets the identity matrix.

Definition at line 89 of file IceMatrix3x3.h.

◆ Invert()

Matrix3x3& Matrix3x3::Invert ( )

inline

Invert the matrix. Determinant must be different from zero, else matrix can't be inverted.

Definition at line 317 of file IceMatrix3x3.h.

◆ IsIdentity()

inline_ bool Matrix3x3::IsIdentity ( ) const

inline

Checks for identity.

Definition at line 91 of file IceMatrix3x3.h.

◆ IsValid()

inline_ BOOL Matrix3x3::IsValid ( ) const

inline

Checks matrix validity.

Definition at line 109 of file IceMatrix3x3.h.

◆ Mac() [1/2]

inline_ void Matrix3x3::Mac	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b,
		float	s
	)

inline

Mac.

Definition at line 174 of file IceMatrix3x3.h.

◆ Mac() [2/2]

inline_ void Matrix3x3::Mac	(	const Matrix3x3 &	a,
		float	s
	)

inline

Mac.

Definition at line 189 of file IceMatrix3x3.h.

◆ Mult() [1/2]

inline_ void Matrix3x3::Mult	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b
	)

inline

this = a * b

Definition at line 219 of file IceMatrix3x3.h.

◆ Mult() [2/2]

inline_ void Matrix3x3::Mult	(	const Matrix3x3 &	a,
		float	s
	)

inline

this = A * s

Definition at line 197 of file IceMatrix3x3.h.

◆ MultABt()

inline_ void Matrix3x3::MultABt	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b
	)

inline

this = a * transpose(b)

Definition at line 247 of file IceMatrix3x3.h.

◆ MultAtB()

inline_ void Matrix3x3::MultAtB	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b
	)

inline

this = transpose(a) * b

Definition at line 233 of file IceMatrix3x3.h.

◆ Neg() [1/2]

inline_ void Matrix3x3::Neg ( )

inline

Negates the matrix.

Definition at line 143 of file IceMatrix3x3.h.

◆ Neg() [2/2]

inline_ void Matrix3x3::Neg ( const Matrix3x3 & mat )

inline

Neg from another matrix.

Definition at line 151 of file IceMatrix3x3.h.

◆ Normalize()

Matrix3x3& Matrix3x3::Normalize ( )

◆ operator Matrix4x4()

Matrix3x3::operator Matrix4x4 ( ) const

Cast a Matrix3x3 to a Matrix4x4.

Definition at line 41 of file IceMatrix3x3.cpp.

◆ operator Quat()

Matrix3x3::operator Quat ( ) const

Cast a Matrix3x3 to a Quat.

◆ operator*() [1/3]

inline_ Matrix3x3 Matrix3x3::operator* ( const Matrix3x3 & mat ) const

inline

Operator for Matrix3x3 Mul = Matrix3x3 * Matrix3x3;.

Definition at line 366 of file IceMatrix3x3.h.

◆ operator*() [2/3]

inline_ Point Matrix3x3::operator* ( const Point & v ) const

inline

Operator for Point Mul = Matrix3x3 * Point;.

Definition at line 383 of file IceMatrix3x3.h.

◆ operator*() [3/3]

inline_ Matrix3x3 Matrix3x3::operator* ( float s ) const

inline

Operator for Matrix3x3 Mul = Matrix3x3 * float;.

Definition at line 386 of file IceMatrix3x3.h.

◆ operator*=() [1/2]

inline_ Matrix3x3& Matrix3x3::operator*= ( const Matrix3x3 & mat )

inline

Operator for Matrix3x3 *= Matrix3x3.

Definition at line 441 of file IceMatrix3x3.h.

◆ operator*=() [2/2]

inline_ Matrix3x3& Matrix3x3::operator*= ( float s )

inline

Operator for Matrix3x3 *= float.

Definition at line 463 of file IceMatrix3x3.h.

◆ operator+()

inline_ Matrix3x3 Matrix3x3::operator+ ( const Matrix3x3 & mat ) const

inline

Operator for Matrix3x3 Plus = Matrix3x3 + Matrix3x3;.

Definition at line 348 of file IceMatrix3x3.h.

◆ operator+=()

inline_ Matrix3x3& Matrix3x3::operator+= ( const Matrix3x3 & mat )

inline

Operator for Matrix3x3 += Matrix3x3.

Definition at line 423 of file IceMatrix3x3.h.

◆ operator-()

inline_ Matrix3x3 Matrix3x3::operator- ( const Matrix3x3 & mat ) const

inline

Operator for Matrix3x3 Minus = Matrix3x3 - Matrix3x3;.

Definition at line 357 of file IceMatrix3x3.h.

◆ operator-=()

inline_ Matrix3x3& Matrix3x3::operator-= ( const Matrix3x3 & mat )

inline

Operator for Matrix3x3 -= Matrix3x3.

Definition at line 432 of file IceMatrix3x3.h.

◆ operator/()

inline_ Matrix3x3 Matrix3x3::operator/ ( float s ) const

inline

Operator for Matrix3x3 Div = Matrix3x3 / float;.

Definition at line 404 of file IceMatrix3x3.h.

◆ operator/=()

inline_ Matrix3x3& Matrix3x3::operator/= ( float s )

inline

Operator for Matrix3x3 /= float.

Definition at line 472 of file IceMatrix3x3.h.

◆ operator[]() [1/2]

inline_ Point& Matrix3x3::operator[] ( int row )

inline

Definition at line 488 of file IceMatrix3x3.h.

◆ operator[]() [2/2]

const inline_ Point& Matrix3x3::operator[] ( int row ) const

inline

Definition at line 487 of file IceMatrix3x3.h.

◆ Rot()

Matrix3x3& Matrix3x3::Rot	(	float	angle,
		const Point &	axis
	)

Make a rotation matrix about an arbitrary axis.

◆ RotX()

void Matrix3x3::RotX ( float angle )

Set a rotation matrix around the X axis. 1 0 0 RX = 0 cx sx 0 -sx cx

◆ RotY()

void Matrix3x3::RotY ( float angle )

Set a rotation matrix around the Y axis. cy 0 -sy RY = 0 1 0 sy 0 cy

◆ RotYX()

void Matrix3x3::RotYX	(	float	y,
		float	x
	)

cy sx.sy -sy.cx RY.RX 0 cx sx sy -sx.cy cx.cy

◆ RotZ()

void Matrix3x3::RotZ ( float angle )

Set a rotation matrix around the Z axis. cz sz 0 RZ = -sz cz 0 0 0 1

◆ Scale() [1/2]

inline_ void Matrix3x3::Scale ( const Point & p )

inline

Scales from a Point. Each row is multiplied by a component.

Definition at line 52 of file IceMatrix3x3.h.

◆ Scale() [2/2]

inline_ void Matrix3x3::Scale	(	float	sx,
		float	sy,
		float	sz
	)

inline

Scales from floats. Each row is multiplied by a value.

Definition at line 60 of file IceMatrix3x3.h.

◆ Set()

inline_ void Matrix3x3::Set	(	float	m00,
		float	m01,
		float	m02,
		float	m10,
		float	m11,
		float	m12,
		float	m20,
		float	m21,
		float	m22
	)

inline

Assign values.

Definition at line 38 of file IceMatrix3x3.h.

◆ SetCol()

inline_ void Matrix3x3::SetCol	(	const udword	c,
		const Point &	p
	)

inline

Sets a column.

Definition at line 82 of file IceMatrix3x3.h.

◆ SetRow()

inline_ void Matrix3x3::SetRow	(	const udword	r,
		const Point &	p
	)

inline

Sets a row.

Definition at line 78 of file IceMatrix3x3.h.

◆ SetScale() [1/2]

inline_ void Matrix3x3::SetScale ( const Point & p )

inline

Sets the scale from a Point. The point is put on the diagonal.

Definition at line 46 of file IceMatrix3x3.h.

◆ SetScale() [2/2]

inline_ void Matrix3x3::SetScale	(	float	sx,
		float	sy,
		float	sz
	)

inline

Sets the scale from floats. Values are put on the diagonal.

Definition at line 49 of file IceMatrix3x3.h.

◆ SkewSymmetric()

inline_ void Matrix3x3::SkewSymmetric ( const Point & 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);

Definition at line 127 of file IceMatrix3x3.h.

◆ Sub() [1/2]

inline_ void Matrix3x3::Sub	(	const Matrix3x3 &	a,
		const Matrix3x3 &	b
	)

inline

Definition at line 211 of file IceMatrix3x3.h.

◆ Sub() [2/2]

inline_ void Matrix3x3::Sub ( const Matrix3x3 & mat )

inline

Sub another matrix.

Definition at line 167 of file IceMatrix3x3.h.

◆ Trace()

inline_ float Matrix3x3::Trace ( ) const

inline

Computes the trace. The trace is the sum of the 3 diagonal components.

Definition at line 85 of file IceMatrix3x3.h.

◆ Transpose() [1/2]

void Matrix3x3::Transpose ( )

inline

Transpose the matrix.

Definition at line 287 of file IceMatrix3x3.h.

◆ Transpose() [2/2]

void Matrix3x3::Transpose ( const Matrix3x3 & a )

inline

this = Transpose(a)

Definition at line 295 of file IceMatrix3x3.h.

◆ Zero()

inline_ void Matrix3x3::Zero ( )

inline

Clears the matrix.

Definition at line 87 of file IceMatrix3x3.h.

Friends And Related Function Documentation

◆ operator*

inline_ friend Matrix3x3 operator*	(	float	s,
		const Matrix3x3 &	mat
	)

friend

Operator for Matrix3x3 Mul = float * Matrix3x3;.

Definition at line 395 of file IceMatrix3x3.h.

◆ operator/

inline_ friend Matrix3x3 operator/	(	float	s,
		const Matrix3x3 &	mat
	)

friend

Operator for Matrix3x3 Div = float / Matrix3x3;.

Definition at line 414 of file IceMatrix3x3.h.

Member Data Documentation

◆ m

float Matrix3x3::m[3][3]

Definition at line 492 of file IceMatrix3x3.h.

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

Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Matrix3x3() [1/3]

◆ Matrix3x3() [2/3]

◆ Matrix3x3() [3/3]

◆ ~Matrix3x3()

Member Function Documentation

◆ Add() [1/2]

◆ Add() [2/2]

◆ Copy()

◆ Determinant()

◆ Exp()

◆ FromQuat()

◆ FromQuatL2()

◆ FromTo()

◆ GetCol()

◆ GetRow() [1/3]

◆ GetRow() [2/3]

◆ GetRow() [3/3]

◆ Identity()

◆ Invert()

◆ IsIdentity()

◆ IsValid()

◆ Mac() [1/2]

◆ Mac() [2/2]

◆ Mult() [1/2]

◆ Mult() [2/2]

◆ MultABt()

◆ MultAtB()

◆ Neg() [1/2]

◆ Neg() [2/2]

◆ Normalize()

◆ operator Matrix4x4()

◆ operator Quat()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Rot()

◆ RotX()

◆ RotY()

◆ RotYX()

◆ RotZ()

◆ Scale() [1/2]

◆ Scale() [2/2]

◆ Set()

◆ SetCol()

◆ SetRow()

◆ SetScale() [1/2]

◆ SetScale() [2/2]

◆ SkewSymmetric()

◆ Sub() [1/2]

◆ Sub() [2/2]

◆ Trace()

◆ Transpose() [1/2]

◆ Transpose() [2/2]

◆ Zero()

Friends And Related Function Documentation

◆ operator*

◆ operator/

Member Data Documentation

◆ m