Struct Matrix2

Represents a 2x2 double precision matrix.

Implements

System.IEquatable<Matrix2>

Inherited Members

System.Object.Equals(System.Object, System.Object)

System.Object.GetType()

System.Object.ReferenceEquals(System.Object, System.Object)

Namespace: netDxf

Assembly: CADability.dll

Syntax

public struct Matrix2 : IEquatable<Matrix2>

Constructors

Matrix2(Double, Double, Double, Double)

Initializes a new instance of Matrix2.

Declaration

public Matrix2(double m11, double m12, double m21, double m22)

Parameters

Type	Name	Description
System.Double	m11	Element [0,0].
System.Double	m12	Element [0,1].
System.Double	m21	Element [1,0].
System.Double	m22	Element [1,1].

Properties

Identity

Gets the identity matrix.

Declaration

public static Matrix2 Identity { get; }

Property Value

Type	Description
Matrix2

IsIdentity

Gets if the actual matrix is the identity.

Declaration

public bool IsIdentity { get; }

Property Value

Type	Description
System.Boolean

Remarks

The checks to see if the matrix is the identity uses the MathHelper.Epsilon as a the threshold for testing values close to one and zero.

Item[Int32, Int32]

Gets or sets the component at the given row and column index in the matrix.

Declaration

public double this[int row, int column] { get; set; }

Parameters

Type	Name	Description
System.Int32	row	The row index of the matrix.
System.Int32	column	The column index of the matrix.

Property Value

Type	Description
System.Double	The component at the given row and column index in the matrix.

M11

Gets or sets the matrix element [0,0].

Declaration

public double M11 { get; set; }

Property Value

Type	Description
System.Double

M12

Gets or sets the matrix element [0,1].

Declaration

public double M12 { get; set; }

Property Value

Type	Description
System.Double

M21

Gets or sets the matrix element [1,0].

Declaration

public double M21 { get; set; }

Property Value

Type	Description
System.Double

M22

Gets or sets the matrix element [1,1].

Declaration

public double M22 { get; set; }

Property Value

Type	Description
System.Double

Zero

Gets the zero matrix.

Declaration

public static Matrix2 Zero { get; }

Property Value

Type	Description
Matrix2

Methods

Add(Matrix2, Matrix2)

Matrix addition.

Declaration

public static Matrix2 Add(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

Determinant()

Calculate the determinant of the actual matrix.

Declaration

public double Determinant()

Returns

Type	Description
System.Double	Determinant.

Equals(Matrix2)

Check if the components of two matrices are approximate equal.

Declaration

public bool Equals(Matrix2 other)

Parameters

Type	Name	Description
Matrix2	other	Matrix2.

Returns

Type	Description
System.Boolean	True if the matrix components are almost equal or false in any other case.

Equals(Matrix2, Matrix2)

Check if the components of two matrices are approximate equal.

Declaration

public static bool Equals(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
System.Boolean	True if the matrix components are almost equal or false in any other case.

Equals(Matrix2, Matrix2, Double)

Check if the components of two matrices are approximate equal.

Declaration

public static bool Equals(Matrix2 a, Matrix2 b, double threshold)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.
System.Double	threshold	Maximum tolerance.

Returns

Type	Description
System.Boolean	True if the matrix components are almost equal or false in any other case.

Equals(Matrix2, Double)

Check if the components of two matrices are approximate equal.

Declaration

public bool Equals(Matrix2 obj, double threshold)

Parameters

Type	Name	Description
Matrix2	obj	Matrix2.
System.Double	threshold	Maximum tolerance.

Returns

Type	Description
System.Boolean	True if the matrix components are almost equal or false in any other case.

Equals(Object)

Indicates whether this instance and a specified object are equal.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	Another object to compare to.

Returns

Type	Description
System.Boolean	True if obj and this instance are the same type and represent the same value; otherwise, false.

Overrides

System.ValueType.Equals(System.Object)

GetHashCode()

Returns the hash code for this instance.

Declaration

public override int GetHashCode()

Returns

Type	Description
System.Int32	A 32-bit signed integer that is the hash code for this instance.

Overrides

System.ValueType.GetHashCode()

Inverse()

Calculates the inverse matrix.

Declaration

public Matrix2 Inverse()

Returns

Type	Description
Matrix2	Inverse Matrix2.

Multiply(Matrix2, Matrix2)

Product of two matrices.

Declaration

public static Matrix2 Multiply(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

Multiply(Matrix2, Vector2)

Product of a matrix with a vector.

Declaration

public static Vector2 Multiply(Matrix2 a, Vector2 u)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Vector2	u	Vector2.

Returns

Type	Description
Vector2	Matrix2.

Remarks

Matrix2 adopts the convention of using column vectors.

Multiply(Matrix2, Double)

Product of a matrix with a scalar.

Declaration

public static Matrix2 Multiply(Matrix2 m, double a)

Parameters

Type	Name	Description
Matrix2	m	Matrix2.
System.Double	a	Scalar.

Returns

Type	Description
Matrix2	Matrix2.

Rotation(Double)

Builds a rotation matrix for a rotation.

Declaration

public static Matrix2 Rotation(double angle)

Parameters

Type	Name	Description
System.Double	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix2	The resulting Matrix2 instance.

Remarks

Matrix2 adopts the convention of using column vectors to represent a transformation matrix.

Scale(Vector2)

Build a scaling matrix.

Declaration

public static Matrix2 Scale(Vector2 value)

Parameters

Type	Name	Description
Vector2	value	Scale factors for x and y axis.

Returns

Type	Description
Matrix2	A scaling matrix.

Scale(Double)

Build a scaling matrix.

Declaration

public static Matrix2 Scale(double value)

Parameters

Type	Name	Description
System.Double	value	Single scale factor for x and y axis.

Returns

Type	Description
Matrix2	A scaling matrix.

Scale(Double, Double)

Build a scaling matrix.

Declaration

public static Matrix2 Scale(double x, double y)

Parameters

Type	Name	Description
System.Double	x	Scale factor for x-axis.
System.Double	y	Scale factor for y-axis.

Returns

Type	Description
Matrix2	A scaling matrix.

Subtract(Matrix2, Matrix2)

Matrix subtraction.

Declaration

public static Matrix2 Subtract(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

ToString()

Obtains a string that represents the matrix.

Declaration

public override string ToString()

Returns

Type	Description
System.String	A string text.

Overrides

System.ValueType.ToString()

ToString(IFormatProvider)

Obtains a string that represents the matrix.

Declaration

public string ToString(IFormatProvider provider)

Parameters

Type	Name	Description
System.IFormatProvider	provider	An IFormatProvider interface implementation that supplies culture-specific formatting information.

Returns

Type	Description
System.String	A string text.

Transpose()

Obtains the transpose matrix.

Declaration

public Matrix2 Transpose()

Returns

Type	Description
Matrix2	Transpose matrix.

Operators

Addition(Matrix2, Matrix2)

Matrix addition.

Declaration

public static Matrix2 operator +(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

Equality(Matrix2, Matrix2)

Check if the components of two matrices are equal.

Declaration

public static bool operator ==(Matrix2 u, Matrix2 v)

Parameters

Type	Name	Description
Matrix2	u	Matrix2.
Matrix2	v	Matrix2.

Returns

Type	Description
System.Boolean	True if the matrix components are equal or false in any other case.

Inequality(Matrix2, Matrix2)

Check if the components of two matrices are different.

Declaration

public static bool operator !=(Matrix2 u, Matrix2 v)

Parameters

Type	Name	Description
Matrix2	u	Matrix2.
Matrix2	v	Matrix2.

Returns

Type	Description
System.Boolean	True if the matrix components are different or false in any other case.

Multiply(Matrix2, Matrix2)

Product of two matrices.

Declaration

public static Matrix2 operator *(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

Multiply(Matrix2, Vector2)

Product of a matrix with a vector.

Declaration

public static Vector2 operator *(Matrix2 a, Vector2 u)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Vector2	u	Vector2.

Returns

Type	Description
Vector2	Matrix2.

Remarks

Matrix2 adopts the convention of using column vectors.

Multiply(Matrix2, Double)

Product of a matrix with a scalar.

Declaration

public static Matrix2 operator *(Matrix2 m, double a)

Parameters

Type	Name	Description
Matrix2	m	Matrix2.
System.Double	a	Scalar.

Returns

Type	Description
Matrix2	Matrix2.

Subtraction(Matrix2, Matrix2)

Matrix subtraction.

Declaration

public static Matrix2 operator -(Matrix2 a, Matrix2 b)

Parameters

Type	Name	Description
Matrix2	a	Matrix2.
Matrix2	b	Matrix2.

Returns

Type	Description
Matrix2	Matrix2.

Implements

System.IEquatable<T>