#include <IceMatrix4x4.h>

Public Member Functions
float	CoFactor (udword row, udword col) const
	Computes a cofactor. Used for matrix inversion. More...

inline_ void	Copy (const Matrix4x4 &source)
	Copy from a Matrix4x4. More...

float	Determinant () const
	Computes the determinant of the matrix. More...

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

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

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

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

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

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

inline_ const HPoint &	GetTrans () const
	Returns the translation part of the matrix. More...

inline_ void	GetTrans (Point &p) const
	Gets the translation part of the matrix. More...

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

Matrix4x4 &	Invert ()
	Inverts 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_	Matrix4x4 ()
	Empty constructor. More...

inline_	Matrix4x4 (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)
	Constructor from 16 values. More...

inline_	Matrix4x4 (const Matrix4x4 &mat)
	Copy constructor. More...

inline_	operator Matrix3x3 () const
	Casts a Matrix4x4 to a Matrix3x3. More...

	operator PR () const
	Casts a Matrix4x4 to a PR. More...

	operator Quat () const
	Casts a Matrix4x4 to a Quat. More...

inline_ Matrix4x4	operator* (const Matrix4x4 &mat) const
	Operator for Matrix4x4 Mul = Matrix4x4 * Matrix4x4;. More...

inline_ HPoint	operator* (const HPoint &v) const
	Operator for HPoint Mul = Matrix4x4 * HPoint;. More...

inline_ Point	operator* (const Point &v) const
	Operator for Point Mul = Matrix4x4 * Point;. More...

inline_ Matrix4x4	operator* (float s) const
	Operator for Matrix4x4 Scale = Matrix4x4 * float;. More...

Matrix4x4 &	operator*= (const Matrix4x4 &mat)
	Operator for Matrix4x4 *= Matrix4x4;. More...

inline_ Matrix4x4 &	operator*= (float s)
	Operator for Matrix4x4 *= float;. More...

inline_ Matrix4x4	operator+ (const Matrix4x4 &mat) const
	Operator for Matrix4x4 Plus = Matrix4x4 + Matrix4x4;. More...

inline_ Matrix4x4 &	operator+= (const Matrix4x4 &mat)
	Operator for Matrix4x4 += Matrix4x4;. More...

inline_ Matrix4x4	operator- (const Matrix4x4 &mat) const
	Operator for Matrix4x4 Minus = Matrix4x4 - Matrix4x4;. More...

inline_ Matrix4x4 &	operator-= (const Matrix4x4 &mat)
	Operator for Matrix4x4 -= Matrix4x4;. More...

inline_ Matrix4x4	operator/ (float s) const
	Operator for Matrix4x4 Div = Matrix4x4 / float;. More...

inline_ Matrix4x4 &	operator/= (float s)
	Operator for Matrix4x4 /= float;. More...

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

inline_ HPoint &	operator[] (int row)

Matrix4x4 &	Rot (float angle, Point &p1, Point &p2)
	Makes a rotation matrix about an arbitrary axis. More...

void	RotX (float angle)
	Sets a rotation matrix around the X axis. More...

void	RotY (float angle)
	Sets a rotation matrix around the Y axis. More...

void	RotZ (float angle)
	Sets a rotation matrix around the Z axis. More...

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

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

inline_ Matrix4x4 &	Set (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Assign values (rotation only) More...

inline_ Matrix4x4 &	Set (float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)
	Assign values. More...

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

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

inline_ void	SetRow (const udword r, const HPoint &p)
	Sets a row. 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	SetTrans (const Point &p)
	Sets the translation part of the matrix, from a Point. More...

inline_ void	SetTrans (const HPoint &p)
	Sets the translation part of the matrix, from a HPoint. More...

inline_ void	SetTrans (float tx, float ty, float tz)
	Sets the translation part of the matrix, from floats. More...

inline_ float	Trace () const
	Computes the trace. The trace is the sum of the 4 diagonal components. More...

inline_ float	Trace3x3 () const
	Computes the trace of the upper 3x3 matrix. More...

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

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

inline_	~Matrix4x4 ()
	Destructor. More...

Public Attributes
float	m [4][4]

Friends
inline_ friend Matrix4x4	operator* (float s, const Matrix4x4 &mat)
	Operator for Matrix4x4 Scale = float * Matrix4x4;. More...

inline_ friend Matrix4x4	operator/ (float s, const Matrix4x4 &mat)
	Operator for Matrix4x4 Div = float / Matrix4x4;. More...

Related Functions
(Note that these are not member functions.)
	InvertPRMatrix (Matrix4x4 &dest, const Matrix4x4 &src)

Detailed Description

4x4 matrix. DirectX-compliant, ie row-column order, ie m[Row][Col]. Same as: m11 m12 m13 m14 first row. m21 m22 m23 m24 second row. m31 m32 m33 m34 third row. m41 m42 m43 m44 fourth row. Translation is (m41, m42, m43), (m14, m24, m34, m44) = (0, 0, 0, 1). Stored in memory as m11 m12 m13 m14 m21...

Multiplication rules:

[x'y'z'1] = [xyz1][M]

x' = x*m11 + y*m21 + z*m31 + m41 y' = x*m12 + y*m22 + z*m32 + m42 z' = x*m13 + y*m23 + z*m33 + m43 1' = 0 + 0 + 0 + m44

Author: Pierre Terdiman

Version: 1.0

Definition at line 21 of file IceMatrix4x4.h.

Constructor & Destructor Documentation

◆ Matrix4x4() [1/3]

inline_ Matrix4x4::Matrix4x4 ( )

inline

Empty constructor.

Definition at line 28 of file IceMatrix4x4.h.

◆ Matrix4x4() [2/3]

inline_ Matrix4x4::Matrix4x4	(	float	m00,
		float	m01,
		float	m02,
		float	m03,
		float	m10,
		float	m11,
		float	m12,
		float	m13,
		float	m20,
		float	m21,
		float	m22,
		float	m23,
		float	m30,
		float	m31,
		float	m32,
		float	m33
	)

inline

Constructor from 16 values.

Definition at line 30 of file IceMatrix4x4.h.

◆ Matrix4x4() [3/3]

inline_ Matrix4x4::Matrix4x4 ( const Matrix4x4 & mat )

inline

Copy constructor.

Definition at line 41 of file IceMatrix4x4.h.

◆ ~Matrix4x4()

inline_ Matrix4x4::~Matrix4x4 ( )

inline

Destructor.

Definition at line 43 of file IceMatrix4x4.h.

Member Function Documentation

◆ CoFactor()

float Matrix4x4::CoFactor	(	udword	row,
		udword	col
	)		const

Computes a cofactor. Used for matrix inversion.

◆ Copy()

inline_ void Matrix4x4::Copy ( const Matrix4x4 & source )

inline

Copy from a Matrix4x4.

Definition at line 69 of file IceMatrix4x4.h.

◆ Determinant()

float Matrix4x4::Determinant ( ) const

Computes the determinant of the matrix.

◆ GetCol() [1/2]

inline_ void Matrix4x4::GetCol	(	const udword	c,
		HPoint &	p
	)		const

inline

Returns a column.

Definition at line 85 of file IceMatrix4x4.h.

◆ GetCol() [2/2]

inline_ void Matrix4x4::GetCol	(	const udword	c,
		Point &	p
	)		const

inline

Returns a column.

Definition at line 87 of file IceMatrix4x4.h.

◆ GetRow() [1/4]

inline_ void Matrix4x4::GetRow	(	const udword	r,
		HPoint &	p
	)		const

inline

Returns a row.

Definition at line 73 of file IceMatrix4x4.h.

◆ GetRow() [2/4]

inline_ void Matrix4x4::GetRow	(	const udword	r,
		Point &	p
	)		const

inline

Returns a row.

Definition at line 75 of file IceMatrix4x4.h.

◆ GetRow() [3/4]

inline_ const HPoint& Matrix4x4::GetRow ( const udword r ) const

inline

Returns a row.

Definition at line 77 of file IceMatrix4x4.h.

◆ GetRow() [4/4]

inline_ HPoint& Matrix4x4::GetRow ( const udword r )

inline

Returns a row.

Definition at line 79 of file IceMatrix4x4.h.

◆ GetTrans() [1/2]

inline_ const HPoint& Matrix4x4::GetTrans ( ) const

inline

Returns the translation part of the matrix.

Definition at line 95 of file IceMatrix4x4.h.

◆ GetTrans() [2/2]

inline_ void Matrix4x4::GetTrans ( Point & p ) const

inline

Gets the translation part of the matrix.

Definition at line 97 of file IceMatrix4x4.h.

◆ Identity()

inline_ void Matrix4x4::Identity ( )

inline

Sets the identity matrix.

Definition at line 174 of file IceMatrix4x4.h.

◆ Invert()

Matrix4x4& Matrix4x4::Invert ( )

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

◆ IsIdentity()

inline_ bool Matrix4x4::IsIdentity ( ) const

inline

Checks for identity.

Definition at line 176 of file IceMatrix4x4.h.

◆ IsValid()

inline_ BOOL Matrix4x4::IsValid ( ) const

inline

Checks matrix validity.

Definition at line 201 of file IceMatrix4x4.h.

◆ operator Matrix3x3()

inline_ Matrix4x4::operator Matrix3x3 ( ) const

inline

Casts a Matrix4x4 to a Matrix3x3.

Definition at line 244 of file IceMatrix4x4.h.

◆ operator PR()

Matrix4x4::operator PR ( ) const

Casts a Matrix4x4 to a PR.

◆ operator Quat()

Matrix4x4::operator Quat ( ) const

Casts a Matrix4x4 to a Quat.

◆ operator*() [1/4]

inline_ Matrix4x4 Matrix4x4::operator* ( const Matrix4x4 & mat ) const

inline

Operator for Matrix4x4 Mul = Matrix4x4 * Matrix4x4;.

Definition at line 278 of file IceMatrix4x4.h.

◆ operator*() [2/4]

inline_ HPoint Matrix4x4::operator* ( const HPoint & v ) const

inline

Operator for HPoint Mul = Matrix4x4 * HPoint;.

Definition at line 303 of file IceMatrix4x4.h.

◆ operator*() [3/4]

inline_ Point Matrix4x4::operator* ( const Point & v ) const

inline

Operator for Point Mul = Matrix4x4 * Point;.

Definition at line 306 of file IceMatrix4x4.h.

◆ operator*() [4/4]

inline_ Matrix4x4 Matrix4x4::operator* ( float s ) const

inline

Operator for Matrix4x4 Scale = Matrix4x4 * float;.

Definition at line 314 of file IceMatrix4x4.h.

◆ operator*=() [1/2]

Matrix4x4& Matrix4x4::operator*= ( const Matrix4x4 & mat )

inline

Operator for Matrix4x4 *= Matrix4x4;.

Definition at line 376 of file IceMatrix4x4.h.

◆ operator*=() [2/2]

inline_ Matrix4x4& Matrix4x4::operator*= ( float s )

inline

Operator for Matrix4x4 *= float;.

Definition at line 408 of file IceMatrix4x4.h.

◆ operator+()

inline_ Matrix4x4 Matrix4x4::operator+ ( const Matrix4x4 & mat ) const

inline

Operator for Matrix4x4 Plus = Matrix4x4 + Matrix4x4;.

Definition at line 258 of file IceMatrix4x4.h.

◆ operator+=()

inline_ Matrix4x4& Matrix4x4::operator+= ( const Matrix4x4 & mat )

inline

Operator for Matrix4x4 += Matrix4x4;.

Definition at line 356 of file IceMatrix4x4.h.

◆ operator-()

inline_ Matrix4x4 Matrix4x4::operator- ( const Matrix4x4 & mat ) const

inline

Operator for Matrix4x4 Minus = Matrix4x4 - Matrix4x4;.

Definition at line 268 of file IceMatrix4x4.h.

◆ operator-=()

inline_ Matrix4x4& Matrix4x4::operator-= ( const Matrix4x4 & mat )

inline

Operator for Matrix4x4 -= Matrix4x4;.

Definition at line 366 of file IceMatrix4x4.h.

◆ operator/()

inline_ Matrix4x4 Matrix4x4::operator/ ( float s ) const

inline

Operator for Matrix4x4 Div = Matrix4x4 / float;.

Definition at line 334 of file IceMatrix4x4.h.

◆ operator/=()

inline_ Matrix4x4& Matrix4x4::operator/= ( float s )

inline

Operator for Matrix4x4 /= float;.

Definition at line 418 of file IceMatrix4x4.h.

◆ operator[]() [1/2]

inline_ const HPoint& Matrix4x4::operator[] ( int row ) const

inline

Definition at line 428 of file IceMatrix4x4.h.

◆ operator[]() [2/2]

inline_ HPoint& Matrix4x4::operator[] ( int row )

inline

Definition at line 429 of file IceMatrix4x4.h.

◆ Rot()

Matrix4x4& Matrix4x4::Rot	(	float	angle,
		Point &	p1,
		Point &	p2
	)

Makes a rotation matrix about an arbitrary axis.

◆ RotX()

void Matrix4x4::RotX ( float angle )

inline

Sets a rotation matrix around the X axis.

Definition at line 214 of file IceMatrix4x4.h.

◆ RotY()

void Matrix4x4::RotY ( float angle )

inline

Sets a rotation matrix around the Y axis.

Definition at line 216 of file IceMatrix4x4.h.

◆ RotZ()

void Matrix4x4::RotZ ( float angle )

inline

Sets a rotation matrix around the Z axis.

Definition at line 218 of file IceMatrix4x4.h.

◆ Scale() [1/2]

void Matrix4x4::Scale ( const Point & p )

inline

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

Definition at line 111 of file IceMatrix4x4.h.

◆ Scale() [2/2]

void Matrix4x4::Scale	(	float	sx,
		float	sy,
		float	sz
	)

inline

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

Definition at line 118 of file IceMatrix4x4.h.

◆ Set() [1/2]

inline_ Matrix4x4& Matrix4x4::Set	(	float	m00,
		float	m01,
		float	m02,
		float	m10,
		float	m11,
		float	m12,
		float	m20,
		float	m21,
		float	m22
	)

inline

Assign values (rotation only)

Definition at line 46 of file IceMatrix4x4.h.

◆ Set() [2/2]

inline_ Matrix4x4& Matrix4x4::Set	(	float	m00,
		float	m01,
		float	m02,
		float	m03,
		float	m10,
		float	m11,
		float	m12,
		float	m13,
		float	m20,
		float	m21,
		float	m22,
		float	m23,
		float	m30,
		float	m31,
		float	m32,
		float	m33
	)

inline

Assign values.

Definition at line 56 of file IceMatrix4x4.h.

◆ SetCol() [1/2]

inline_ void Matrix4x4::SetCol	(	const udword	c,
		const HPoint &	p
	)

inline

Sets a column.

Definition at line 89 of file IceMatrix4x4.h.

◆ SetCol() [2/2]

inline_ void Matrix4x4::SetCol	(	const udword	c,
		const Point &	p
	)

inline

Sets a column.

Definition at line 91 of file IceMatrix4x4.h.

◆ SetRow() [1/2]

inline_ void Matrix4x4::SetRow	(	const udword	r,
		const HPoint &	p
	)

inline

Sets a row.

Definition at line 81 of file IceMatrix4x4.h.

◆ SetRow() [2/2]

inline_ void Matrix4x4::SetRow	(	const udword	r,
		const Point &	p
	)

inline

Sets a row.

Definition at line 83 of file IceMatrix4x4.h.

◆ SetScale() [1/2]

inline_ void Matrix4x4::SetScale ( const Point & p )

inline

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

Definition at line 107 of file IceMatrix4x4.h.

◆ SetScale() [2/2]

inline_ void Matrix4x4::SetScale	(	float	sx,
		float	sy,
		float	sz
	)

inline

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

Definition at line 109 of file IceMatrix4x4.h.

◆ SetTrans() [1/3]

inline_ void Matrix4x4::SetTrans ( const Point & p )

inline

Sets the translation part of the matrix, from a Point.

Definition at line 99 of file IceMatrix4x4.h.

◆ SetTrans() [2/3]

inline_ void Matrix4x4::SetTrans ( const HPoint & p )

inline

Sets the translation part of the matrix, from a HPoint.

Definition at line 101 of file IceMatrix4x4.h.

◆ SetTrans() [3/3]

inline_ void Matrix4x4::SetTrans	(	float	tx,
		float	ty,
		float	tz
	)

inline

Sets the translation part of the matrix, from floats.

Definition at line 103 of file IceMatrix4x4.h.

◆ Trace()

inline_ float Matrix4x4::Trace ( ) const

inline

Computes the trace. The trace is the sum of the 4 diagonal components.

Definition at line 168 of file IceMatrix4x4.h.

◆ Trace3x3()

inline_ float Matrix4x4::Trace3x3 ( ) const

inline

Computes the trace of the upper 3x3 matrix.

Definition at line 170 of file IceMatrix4x4.h.

◆ Transpose()

void Matrix4x4::Transpose ( )

inline

Transposes the matrix.

Definition at line 224 of file IceMatrix4x4.h.

◆ Zero()

inline_ void Matrix4x4::Zero ( )

inline

Clears the matrix.

Definition at line 172 of file IceMatrix4x4.h.

Friends And Related Function Documentation

◆ InvertPRMatrix()

InvertPRMatrix	(	Matrix4x4 &	dest,
		const Matrix4x4 &	src
	)

Parameters

dest	[out] destination matrix
src	[in] source matrix

◆ operator*

inline_ friend Matrix4x4 operator*	(	float	s,
		const Matrix4x4 &	mat
	)

friend

Operator for Matrix4x4 Scale = float * Matrix4x4;.

Definition at line 324 of file IceMatrix4x4.h.

◆ operator/

inline_ friend Matrix4x4 operator/	(	float	s,
		const Matrix4x4 &	mat
	)

friend

Operator for Matrix4x4 Div = float / Matrix4x4;.

Definition at line 346 of file IceMatrix4x4.h.

Member Data Documentation

◆ m

float Matrix4x4::m[4][4]

Definition at line 433 of file IceMatrix4x4.h.

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

Public Member Functions

Public Attributes

Friends

Related Functions

Detailed Description

Constructor & Destructor Documentation

◆ Matrix4x4() [1/3]

◆ Matrix4x4() [2/3]

◆ Matrix4x4() [3/3]

◆ ~Matrix4x4()

Member Function Documentation

◆ CoFactor()

◆ Copy()

◆ Determinant()

◆ GetCol() [1/2]

◆ GetCol() [2/2]

◆ GetRow() [1/4]

◆ GetRow() [2/4]

◆ GetRow() [3/4]

◆ GetRow() [4/4]

◆ GetTrans() [1/2]

◆ GetTrans() [2/2]

◆ Identity()

◆ Invert()

◆ IsIdentity()

◆ IsValid()

◆ operator Matrix3x3()

◆ operator PR()

◆ operator Quat()

◆ operator*() [1/4]

◆ operator*() [2/4]

◆ operator*() [3/4]

◆ operator*() [4/4]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Rot()

◆ RotX()

◆ RotY()

◆ RotZ()

◆ Scale() [1/2]

◆ Scale() [2/2]

◆ Set() [1/2]

◆ Set() [2/2]

◆ SetCol() [1/2]

◆ SetCol() [2/2]

◆ SetRow() [1/2]

◆ SetRow() [2/2]

◆ SetScale() [1/2]

◆ SetScale() [2/2]

◆ SetTrans() [1/3]

◆ SetTrans() [2/3]

◆ SetTrans() [3/3]

◆ Trace()

◆ Trace3x3()

◆ Transpose()

◆ Zero()

Friends And Related Function Documentation

◆ InvertPRMatrix()

◆ operator*

◆ operator/

Member Data Documentation

◆ m