Matrix44 Class Reference

A 4x4 matrix of floating-point values. More...

#include <Types.h>

Inheritance diagram for Matrix44:

Public Member Functions
	Matrix44 (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)
Matrix Operations
Matrix44	getTranspose () const
	Return the transpose of the matrix.
float	getDeterminant () const
	Return the determinant of the matrix.
Matrix44	getAdjugate () const
	Return the adjugate of the matrix.
Matrix44	getInverse () const
	Return the inverse of the matrix.
Public Member Functions inherited from MatrixN< Matrix44, float, 4 >
	MatrixN (Uninit)
	MatrixN (float s)
	MatrixN (const float *begin, const float *end)
bool	operator== (const Matrix44 &rhs) const
	Return true if the given matrix is identical to this one.
bool	operator!= (const Matrix44 &rhs) const
	Return true if the given matrix differs from this one.
bool	isEquivalent (const Matrix44 &rhs, float tolerance) const
	Return true if the given matrix is equivalent to this one within a given floating-point tolerance.
RowArray &	operator[] (size_t i)
	Return the row array at the given index.
const RowArray &	operator[] (size_t i) const
	Return the const row array at the given index.
Matrix44	operator+ (const Matrix44 &rhs) const
	Component-wise addition of two matrices.
MatrixN &	operator+= (const Matrix44 &rhs)
	Component-wise addition of two matrices.
Matrix44	operator- (const Matrix44 &rhs) const
	Component-wise subtraction of two matrices.
MatrixN &	operator-= (const Matrix44 &rhs)
	Component-wise subtraction of two matrices.
Matrix44	operator* (float s) const
	Component-wise multiplication of a matrix and a scalar.
MatrixN &	operator*= (float s)
	Component-wise multiplication of a matrix and a scalar.
Matrix44	operator/ (float s) const
	Component-wise division of a matrix by a scalar.
MatrixN &	operator/= (float s)
	Component-wise division of a matrix by a scalar.
Matrix44	operator* (const Matrix44 &rhs) const
	Compute the matrix product.
MatrixN &	operator*= (const Matrix44 &rhs)
	Compute the matrix product.
Matrix44	operator/ (const Matrix44 &rhs) const
	Divide the first matrix by the second (computed as the product of the first matrix and the inverse of the second).
MatrixN &	operator/= (const Matrix44 &rhs)
	Divide the first matrix by the second (computed as the product of the first matrix and the inverse of the second).
Iterator	begin ()
ConstIterator	begin () const
Iterator	end ()
ConstIterator	end () const
float *	data ()
	Return a pointer to the underlying data array.
const float *	data () const
	Return a const pointer to the underlying data array.

Static Public Attributes
static const Matrix44	IDENTITY

Vector Transformations
Vector4	multiply (const Vector4 &v) const
	Return the product of this matrix and a 4D vector.
Vector3	transformPoint (const Vector3 &v) const
	Transform the given 3D point.
Vector3	transformVector (const Vector3 &v) const
	Transform the given 3D direction vector.
Vector3	transformNormal (const Vector3 &v) const
	Transform the given 3D normal vector.
static Matrix44	createTranslation (const Vector3 &v)
	Create a translation matrix.
static Matrix44	createScale (const Vector3 &v)
	Create a scale matrix.
static Matrix44	createRotationX (float angle)
	Create a rotation matrix about the X-axis. More...
static Matrix44	createRotationY (float angle)
	Create a rotation matrix about the Y-axis. More...
static Matrix44	createRotationZ (float angle)
	Create a rotation matrix about the Z-axis. More...

Additional Inherited Members
Public Types inherited from MatrixN< Matrix44, float, 4 >
using	RowArray = typename std::array< float, N >
using	Iterator = typename std::array< RowArray, N >::iterator
using	ConstIterator = typename std::array< RowArray, N >::const_iterator
Static Public Member Functions inherited from MatrixN< Matrix44, float, 4 >
static constexpr size_t	numRows ()
	Return the number of rows in this matrix.
static constexpr size_t	numColumns ()
	Return the number of columns in this matrix.
Protected Attributes inherited from MatrixN< Matrix44, float, 4 >
std::array< RowArray, N >	_arr

Detailed Description

A 4x4 matrix of floating-point values.

Vector transformation methods follow the row-vector convention, with matrix-vector multiplication computed as v' = vM.

Member Function Documentation

createRotationX()

static Matrix44 createRotationX ( float  angle )

static

Create a rotation matrix about the X-axis.

Parameters

angle

Angle in radians

createRotationY()

static Matrix44 createRotationY ( float  angle )

static

Create a rotation matrix about the Y-axis.

Parameters

angle

Angle in radians

createRotationZ()

static Matrix44 createRotationZ ( float  angle )

static

Create a rotation matrix about the Z-axis.

Parameters

angle

Angle in radians

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

• source/MaterialXCore/Types.h