Matrix33D Structure

Matrix33D Structure

Defines a 3 x 3 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 Matrix33D : IEquatable<Matrix33D>

<SerializableAttribute>
<TypeConverterAttribute(GetType(ExpandableObjectConverter))>
<DataContractAttribute>
Public Structure Matrix33D
	Implements IEquatable(Of Matrix33D)

[SerializableAttribute]
[TypeConverterAttribute(typeof(ExpandableObjectConverter))]
[DataContractAttribute]
public value class Matrix33D : IEquatable<Matrix33D>

[<SealedAttribute>]
[<SerializableAttribute>]
[<TypeConverterAttribute(typeof(ExpandableObjectConverter))>]
[<DataContractAttribute>]
type Matrix33D =  
    struct
        interface IEquatable<Matrix33D>
    end

The Matrix33D type exposes the following members.

Constructors

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

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Methods

	Name	Description
	Absolute	Sets each matrix element to its absolute value.
	Absolute(Matrix33D)	Returns a matrix with the absolute values of the elements of the given matrix.
	Add	Adds two matrices.
	AreNumericallyEqual(Matrix33D, Matrix33D)	Determines whether two matrices are equal (regarding the tolerance EpsilonD).
	AreNumericallyEqual(Matrix33D, Matrix33D, 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(Matrix33D)	Returns a matrix with the matrix elements clamped to the range [min, max].
	ClampToZero(Matrix33D, Double)	Returns a matrix with the matrix elements clamped to the range [min, max].
	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 uniform scaling matrix.
	CreateScale(Vector3D)	Creates a scaling matrix.
	CreateScale(Double, Double, Double)	Creates a scaling matrix.
	Divide	Divides a matrix by a scalar.
	Equals(Object)	Indicates whether this instance and a specified object are equal. (Overrides ValueTypeEquals(Object).)
	Equals(Matrix33D)	Indicates whether the current object is equal to another object of the same type.
	GetColumn	Gets a column as Vector3D.
	GetHashCode	Returns the hash code for this instance. (Overrides ValueTypeGetHashCode.)
	GetRow	Gets a row as Vector3D.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Invert	Inverts the matrix.
	Multiply(Double, Matrix33D)	Multiplies a matrix by a scalar.
	Multiply(Matrix33D, Matrix33D)	Multiplies two matrices.
	Multiply(Matrix33D, Vector3D)	Multiplies a matrix with a column vector.
	MultiplyTransposed	Multiplies the transposed of the given matrix with a column vector.
	Negate	Negates a matrix.
	Orthogonalize	Re-orthogonalizes this instance.
	SetColumn	Sets a column from a Vector3D.
	SetRow	Sets a row from a Vector3D.
	Subtract	Subtracts two matrices.
	ToArray1D	Converts this matrix to an array of double values.
	ToArray2D	Converts this Matrix33D to a 2-dimensional double array.
	ToArrayJagged	Converts this Matrix33D to a jagged double array.
	ToList	Converts this matrix to a list of double values.
	ToMatrix33F	Converts this Matrix33D to Matrix33F.
	ToMatrixD	Converts this Matrix33D 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.
	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.
	(Matrix33D to Double)	Performs an explicit conversion from Matrix33D to a 2-dimensional double array.
	(Matrix33D to Double)	Performs an explicit conversion from Matrix33D to a jagged double array.
	(Matrix33D to Matrix33F)	Performs an explicit conversion from Matrix33D to Matrix33F.
	(Matrix33D to MatrixD)	Performs an implicit conversion from Matrix33D to MatrixD.
	Inequality	Tests if two matrices are not equal.
	Multiply(Double, Matrix33D)	Multiplies a matrix by a scalar.
	Multiply(Matrix33D, Matrix33D)	Multiplies two matrices.
	Multiply(Matrix33D, Vector3D)	Multiplies a matrix with a column vector.
	Multiply(Matrix33D, 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 3 x 3 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.
	M10	The element in second row, first column.
	M11	The element in second row, second column.
	M12	The element in second row, third 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.
	One	Returns a Matrix33D with all of its components set to one.
	Zero	Returns a Matrix33D 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.
	IsOrthogonal	Gets a value indicating whether this instance is orthogonal.
	IsRotation	Gets a value indicating whether this instance is a rotation matrix.
	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.
	Trace	Gets the matrix trace (the sum of the diagonal elements).
	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
M10 M11 M12
M20 M21 M22

Reference

DigitalRune.Mathematics.Algebra Namespace