CGUL::MatrixT< Type > Struct Template Reference

A 4v4 matrix. More...

#include <Matrix.hpp>

Public Member Functions
	MatrixT ()
	Default constructor, creates an identity matrix.
	MatrixT (const MatrixT &copy)
	Copies another matrix.
	MatrixT (Type m00, Type m10, Type m01, Type m11)
	Constructs a matrix given 2x2 values.
	MatrixT (Type m00, Type m10, Type m20, Type m01, Type m11, Type m21, Type m02, Type m12, Type m22)
	Constructs a matrix given 3x3 values.
	MatrixT (Type m00, Type m10, Type m20, Type m30, Type m01, Type m11, Type m21, Type m31, Type m02, Type m12, Type m22, Type m32, Type m03, Type m13, Type m23, Type m33)
	Constructs a matrix given 4x4 values.
	MatrixT (const QuaternionT< Type > &quaternion)
	Constructs a matrix into a rotation matrix given a quaternion.
MatrixT &	operator= (const MatrixT &operand)
MatrixT &	operator= (const QuaternionT< Type > &operand)
Type *	operator[] (UInt32 index)
const Type *	operator[] (UInt32 index) const
bool	operator== (const MatrixT &operand)
bool	operator!= (const MatrixT &operand)
MatrixT	operator* (const MatrixT &operand) const
MatrixT	operator* (Type operand) const
MatrixT &	operator*= (Type operand)
MatrixT &	operator/= (Type operand)
MatrixT &	operator+ (const MatrixT &operand) const
MatrixT &	operator+= (const MatrixT &operand)
MatrixT &	operator- (const MatrixT &operand) const
MatrixT &	operator-= (const MatrixT &operand)
MatrixT &	operator+ (Type operand) const
MatrixT &	operator+= (Type operand)
MatrixT &	operator- (Type operand) const
MatrixT &	operator-= (Type operand)
void	Set (Type m11, Type m12, Type m21, Type m22)
void	Set (Type m11, Type m12, Type m13, Type m21, Type m22, Type m23, Type m31, Type m32, Type m33)
void	Set (Type m11, Type m12, Type m13, Type m14, Type m21, Type m22, Type m23, Type m24, Type m31, Type m32, Type m33, Type m34, Type m41, Type m42, Type m43, Type m44)
Type *	GetData () const
	Gets the raw data from the matrix as a Type pointer. More...
void	Invert ()
void	Transpose ()
MatrixT< Type >	GetInverse () const
MatrixT< Type >	GetTranspose () const
Type	GetDeterminant () const
bool	IsReflexive () const
bool	IsSymmetric () const
bool	IsAntisymmetric () const

Static Public Member Functions
static MatrixT< Type >	MakeIdentity ()
	The identity matrix.
static MatrixT< Type >	MakeRotation (Type angle)
	Creates a 2D rotation matrix.
static MatrixT< Type >	MakeRotationX (Type angle)
	Creates a 3D rotation matrix, rotating around the X axis.
static MatrixT< Type >	MakeRotationY (Type angle)
	Creats a 3D rotation matrix, rotating around the Y axis.
static MatrixT< Type >	MakeRotationZ (Type angle)
	Creates a 3D rotation matrix, rotating around the Z axis.
static MatrixT< Type >	MakeRotation (const QuaternionT< Type > &quaternion)
	Creates a 3D rotation matrix converted from a quaternion.
static MatrixT< Type >	MakeScaling (const Vector2T< Type > &scale)
	Creates a 2D scaling matrix.
static MatrixT< Type >	MakeScaling (const Vector3T< Type > &scale)
	Creates a 3D scaling matrix.
static MatrixT< Type >	MakeTranslation (const Vector2T< Type > &translation)
	Creates a 2D translation matrix.
static MatrixT< Type >	MakeTranslation (const Vector3T< Type > &translation)
	Creates a 3D translation matrix.
static MatrixT< Type >	MakePerspective (Type fovY, Type aspectRatio, Type zNear, Type zFar)
	Creates a 3D perspective (projection) matrix.
static MatrixT< Type >	MakeLookAt (const Vector3T< Type > &eye, const Vector3T< Type > &at, const Vector3T< Type > &up)
	Creates a 3D look at (view) matrix.
static MatrixT< Type >	MakeOrtho (Type left, Type right, Type bottom, Type top, Type zNear, Type nFar)
	Creates a 3D ortho (projection) matrix.
static MatrixT< Type >	MakeOrtho2D (Type left, Type right, Type bottom, Type top)
	Creates a 2D ortho (projection) matrix.
static MatrixT< Type >	Inverse (const MatrixT &matrix)
	Calculates the inverse of a matrix.
static MatrixT< Type >	Transpose (const MatrixT &matrix)
	Gets the transpose of a matrix.
static MatrixT< Type >	Lerp (const MatrixT &from, const MatrixT &to, Type t)
	Performs linear interpolation on a matrix.

Public Attributes
union {
Type   m [4][4]
	Direct access to a two dimensional array containing the matrix.
Type   data [16]
	Direct access to the internal values as a single array.
};

Friends
std::ostream &	operator<< (std::ostream &stream, const MatrixT &matrix)

Detailed Description

template<typename Type>
struct CGUL::MatrixT< Type >

A 4v4 matrix.

At the moment the 4x4 matrix is the only matrix supported. Variable sized matrices are not ideal for most applications and other NxN matrices can be mimicked with a 4x4 matrix by setting the other elements to that of the identity matrix.

See Also

CGUL::Matrix

CGUL::MatrixD

Member Function Documentation

template<typename Type >

Type * CGUL::MatrixT< Type >::GetData ( ) const

inline

Gets the raw data from the matrix as a Type pointer.

The below comment shows how the matrix is stored internally.

// Matrix stored in memory as:
// +--         --+
// | 00 04 08 12 |
// | 01 05 09 13 |
// | 02 06 10 14 |
// | 03 07 11 15 |
// +--         --+
//
// 2D matrix mapping (column, row):
// +--                   --+
// | 0,0   1,0   2,0   3,0 |
// | 0,1   1,1   2,1   3,1 |
// | 0,2   1,2   2,2   3,2 |
// | 0,3   1,3   2,3   3,3 |
// +--                   --+

Returns

Pointer to raw data.

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

• /home/amber/Programming/Cpp/Zethes/CGUL/src/CGUL/Math/Matrix.hpp
• /home/amber/Programming/Cpp/Zethes/CGUL/src/CGUL/Math/Matrix_Implement.hpp