Matrix44D Structure

Matrix44D Structure

Defines a 4 x 4 matrix (double-precision).

Namespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

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[SerializableAttribute]
[TypeConverterAttribute(typeof(ExpandableObjectConverter))]
[DataContractAttribute]
public struct Matrix44D : IEquatable<Matrix44D>

<SerializableAttribute>
<TypeConverterAttribute(GetType(ExpandableObjectConverter))>
<DataContractAttribute>
Public Structure Matrix44D
	Implements IEquatable(Of Matrix44D)

[SerializableAttribute]
[TypeConverterAttribute(typeof(ExpandableObjectConverter))]
[DataContractAttribute]
public value class Matrix44D : IEquatable<Matrix44D>

[<SealedAttribute>]
[<SerializableAttribute>]
[<TypeConverterAttribute(typeof(ExpandableObjectConverter))>]
[<DataContractAttribute>]
type Matrix44D =  
    struct
        interface IEquatable<Matrix44D>
    end

The Matrix44D type exposes the following members.

Constructors

	Name	Description
	Matrix44D(Double)	Initializes a new instance of the Matrix44D struct.
	Matrix44D(Double)	Initializes a new instance of the Matrix44D struct.
	Matrix44D(Double)	Initializes a new instance of the Matrix22D struct.
	Matrix44D(IListDouble, MatrixOrder)	Initializes a new instance of the Matrix44D struct.
	Matrix44D(Double, MatrixOrder)	Initializes a new instance of the Matrix44D struct.
	Matrix44D(Matrix33D, Vector3D)	Initializes a new instance of the Matrix44D struct.
	Matrix44D(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)	Initializes a new instance of the Matrix44D class.

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Methods

	Name	Description
	Absolute	Sets each matrix element to its absolute value.
	Absolute(Matrix44D)	Returns a matrix with the absolute values of the elements of the given matrix.
	Add	Adds two matrices.
	AreNumericallyEqual(Matrix44D, Matrix44D)	Determines whether two matrices are equal (regarding the tolerance EpsilonD).
	AreNumericallyEqual(Matrix44D, Matrix44D, Double)	Determines whether two matrices are equal (regarding a specific tolerance).
	ClampToZero	Clamps near-zero matrix elements to zero.
	ClampToZero(Double)	Clamps near-zero matrix elements to zero.
	ClampToZero(Matrix44D)	Returns a matrix with the matrix elements clamped to the range [min, max].
	ClampToZero(Matrix44D, Double)	Returns a matrix with the matrix elements clamped to the range [min, max].
	CreateLookAt	Creates a right-handed look-at matrix (view matrix). (Only available in the XNA-compatible build.)
	CreateOrthographic	Creates a right-handed, orthographic projection matrix. (Only available in the XNA compatible build.)
	CreateOrthographicOffCenter	Creates a customized (off-center), right-handed, orthographic projection matrix. (Only available in the XNA-compatible build.)
	CreatePerspective	Creates a right-handed, perspective projection matrix. (Only available in the XNA-compatible build.)
	CreatePerspectiveFieldOfView	Creates a right-handed, perspective projection matrix based on a field of view. (Only available in the XNA-compatible build.)
	CreatePerspectiveOffCenter	Creates a customized, right-handed, perspective projection matrix. (Only available in the XNA-compatible build.)
	CreateRotation(QuaternionD)	Creates a rotation matrix from a unit quaternion.
	CreateRotation(Vector3D, Double)	Creates a rotation matrix from axis and angle.
	CreateRotationX	Creates a matrix that specifies a rotation around the x-axis.
	CreateRotationY	Creates a matrix that specifies a rotation around the y-axis.
	CreateRotationZ	Creates a matrix that specifies a rotation around the z-axis.
	CreateScale(Double)	Creates a scaling matrix.
	CreateScale(Vector3D)	Creates a scaling matrix.
	CreateScale(Double, Double, Double)	Creates a scaling matrix.
	CreateTranslation(Vector3D)	Creates a translation matrix from a vector.
	CreateTranslation(Double, Double, Double)	Creates a translation matrix from the given values.
	Decompose(Vector3D, Matrix33D, Vector3D)	Decomposes the matrix into the scale, translation, and rotation components.
	Decompose(Vector3D, QuaternionD, Vector3D)	Decomposes the matrix into the scale, translation, and rotation components.
	DecomposeFast(Vector3D, Matrix33D, Vector3D)	Decomposes the matrix into the scale, translation, and rotation components. (This method is faster than Decompose(Vector3D, Matrix33D, Vector3D), but the matrix must be a valid 3D scale/rotation/translation (SRT) matrix.)
	DecomposeFast(Vector3D, QuaternionD, Vector3D)	Decomposes the matrix into the scale, translation, and rotation components. (This method is faster than Decompose(Vector3D, QuaternionD, Vector3D), but the matrix must be a valid 3D scale/rotation/translation (SRT) matrix.)
	Divide	Divides a matrix by a scalar.
	Equals(Object)	Indicates whether this instance and a specified object are equal. (Overrides ValueTypeEquals(Object).)
	Equals(Matrix44D)	Indicates whether the current object is equal to another object of the same type.
	FromXna	Converts a Matrix (XNA Framework) to a Matrix44F (DigitalRune Mathematics).
	GetColumn	Gets a column as Vector4D.
	GetHashCode	Returns the hash code for this instance. (Overrides ValueTypeGetHashCode.)
	GetRow	Gets a row as Vector4D.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Invert	Inverts the matrix.
	Multiply(Double, Matrix44D)	Multiplies a matrix by a scalar.
	Multiply(Matrix44D, Matrix44D)	Multiplies two matrices.
	Multiply(Matrix44D, Vector4D)	Multiplies a matrix with a column vector.
	Negate	Negates a matrix.
	SetColumn	Sets a column from a Vector4D.
	SetRow	Sets a row from a Vector4D.
	Subtract	Subtracts two matrices.
	ToArray1D	Converts this matrix to an array of double values.
	ToArray2D	Converts this Matrix44D to a 2-dimensional double array.
	ToArrayJagged	Converts this Matrix44D to a jagged double array.
	ToList	Converts this matrix to a list of double values.
	ToMatrix44F	Converts this Matrix44D to Matrix44F.
	ToMatrixD	Converts this Matrix44D to MatrixD
	ToString	Returns the string representation of this matrix. (Overrides ValueTypeToString.)
	ToString(IFormatProvider)	Returns the string representation of this matrix using the specified culture-specific format information.
	ToXna	Converts this Matrix44D (DigitalRune Mathematics) to Matrix (XNA Framework).
	TransformDirection	Transforms a direction vector (or tangent vector).
	TransformNormal	Transforms a normal vector.
	TransformPosition	Transforms a position.
	Transpose	Transposes this matrix.
	TryInvert	Inverts the matrix if it is invertible.

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Operators

	Name	Description
	Addition	Adds two matrices.
	Division	Divides a matrix by a scalar.
	Equality	Tests if two matrices are equal.
	(Matrix to Matrix44D)	Performs an conversion from Matrix (XNA Framework) to Matrix44D (DigitalRune Mathematics).
	(Matrix44D to Double)	Performs an explicit conversion from Matrix44D to a 2-dimensional double array.
	(Matrix44D to Double)	Performs an explicit conversion from Matrix44D to a jagged double array.
	(Matrix44D to Matrix44F)	Performs an explicit conversion from Matrix44D to Matrix44F.
	(Matrix44D to Matrix)	Performs an conversion from Matrix44D (DigitalRune Mathematics) to Matrix (XNA Framework).
	(Matrix44D to MatrixD)	Performs an implicit conversion from Matrix44D to MatrixD.
	Inequality	Tests if two matrices are not equal.
	Multiply(Double, Matrix44D)	Multiplies a matrix by a scalar.
	Multiply(Matrix44D, Matrix44D)	Multiplies two matrices.
	Multiply(Matrix44D, Vector4D)	Multiplies the matrix with a column vector.
	Multiply(Matrix44D, Double)	Multiplies a matrix and a scalar.
	Subtraction	Subtracts two matrices.
	UnaryNegation	Negates a matrix.

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Fields

	Name	Description
	Identity	Returns the 4 x 4 identity matrix.
	M00	The element in first row, first column.
	M01	The element in first row, second column.
	M02	The element in first row, third column.
	M03	The element in first row, fourth column.
	M10	The element in second row, first column.
	M11	The element in second row, second column.
	M12	The element in second row, third column.
	M13	The element in second row, fourth column.
	M20	The element in third row, first column.
	M21	The element in third row, second column.
	M22	The element in third row, third column.
	M23	The element in third row, fourth column.
	M30	The element in fourth row, first column.
	M31	The element in fourth row, second column.
	M32	The element in fourth row, third column.
	M33	The element in fourth row, fourth column.
	One	Returns a Matrix44D with all of its components set to one.
	Zero	Returns a Matrix44D with all of its components set to zero.

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Properties

	Name	Description
	Determinant	Returns the determinant of this matrix.
	Inverse	Returns the inverse of this matrix.
	IsNaN	Gets a value indicating whether an element of the matrix is NaN.
	IsSymmetric	Gets a value indicating whether this matrix is symmetric.
	ItemInt32	Gets or sets the element at the specified index.
	ItemInt32, Int32	Gets or sets the element at the specified index.
	Minor	Gets or sets the upper left 3x3 sub-matrix.
	Trace	Gets the matrix trace (the sum of the diagonal elements).
	Translation	Gets or sets the translation vector (M03, M13, M23) of the matrix.
	Transposed	Returns the transposed of this matrix.

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Remarks

All indices are zero-based. The matrix looks like this:

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M00 M01 M02 M03
M10 M11 M12 M13
M20 M21 M22 M23
M30 M31 M32 M33

Reference

DigitalRune.Mathematics.Algebra Namespace