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Struct Matrix4x2d

Represents a 4x2 matrix.

Implements
IEquatable<Matrix4x2d>
Inherited Members
Object.Equals(Object, Object)
Object.ReferenceEquals(Object, Object)
Object.GetType()
Namespace: OpenTK
Assembly: OpenTK.dll
Syntax
public struct Matrix4x2d : IEquatable<Matrix4x2d>

Constructors

Matrix4x2d(Vector2d, Vector2d, Vector2d, Vector2d)

Constructs a new instance.

Declaration
public Matrix4x2d(Vector2d row0, Vector2d row1, Vector2d row2, Vector2d row3)
Parameters
Type Name Description
Vector2d row0

Top row of the matrix.

Vector2d row1

Second row of the matrix.

Vector2d row2

Third row of the matrix.

Vector2d row3

Bottom row of the matrix.

Matrix4x2d(Double, Double, Double, Double, Double, Double, Double, Double)

Constructs a new instance

Declaration
public Matrix4x2d(double m00, double m01, double m10, double m11, double m20, double m21, double m30, double m31)
Parameters
Type Name Description
Double m00

First item of the first row of the matrix.

Double m01

Second item of the first row of the matrix.

Double m10

First item of the second row of the matrix.

Double m11

Second item of the second row of the matrix.

Double m20

First item of the third row of the matrix.

Double m21

Second item of the third row of the matrix.

Double m30

First item of the fourth row of the matrix.

Double m31

Second item of the fourth row of the matrix.

Fields

Row0

Top row of the matrix.

Declaration
public Vector2d Row0
Field Value
Type Description
Vector2d

Row1

Second row of the matrix.

Declaration
public Vector2d Row1
Field Value
Type Description
Vector2d

Row2

Third row of the matrix.

Declaration
public Vector2d Row2
Field Value
Type Description
Vector2d

Row3

Bottom row of the matrix.

Declaration
public Vector2d Row3
Field Value
Type Description
Vector2d

Zero

The zero matrix.

Declaration
public static readonly Matrix4x2d Zero
Field Value
Type Description
Matrix4x2d

Properties

Column0

Gets or sets the first column of this matrix.

Declaration
public Vector4d Column0 { get; set; }
Property Value
Type Description
Vector4d

Column1

Gets or sets the second column of this matrix.

Declaration
public Vector4d Column1 { get; set; }
Property Value
Type Description
Vector4d

Diagonal

Gets or sets the values along the main diagonal of the matrix.

Declaration
public Vector2d Diagonal { get; set; }
Property Value
Type Description
Vector2d

Item[Int32, Int32]

Gets or sets the value at a specified row and column.

Declaration
public double this[int rowIndex, int columnIndex] { get; set; }
Parameters
Type Name Description
Int32 rowIndex
Int32 columnIndex
Property Value
Type Description
Double

M11

Gets or sets the value at row 1, column 1 of this instance.

Declaration
public double M11 { get; set; }
Property Value
Type Description
Double

M12

Gets or sets the value at row 1, column 2 of this instance.

Declaration
public double M12 { get; set; }
Property Value
Type Description
Double

M21

Gets or sets the value at row 2, column 1 of this instance.

Declaration
public double M21 { get; set; }
Property Value
Type Description
Double

M22

Gets or sets the value at row 2, column 2 of this instance.

Declaration
public double M22 { get; set; }
Property Value
Type Description
Double

M31

Gets or sets the value at row 3, column 1 of this instance.

Declaration
public double M31 { get; set; }
Property Value
Type Description
Double

M32

Gets or sets the value at row 3, column 2 of this instance.

Declaration
public double M32 { get; set; }
Property Value
Type Description
Double

M41

Gets or sets the value at row 4, column 1 of this instance.

Declaration
public double M41 { get; set; }
Property Value
Type Description
Double

M42

Gets or sets the value at row 4, column 2 of this instance.

Declaration
public double M42 { get; set; }
Property Value
Type Description
Double

Trace

Gets the trace of the matrix, the sum of the values along the diagonal.

Declaration
public readonly double Trace { get; }
Property Value
Type Description
Double

Methods

Add(Matrix4x2d, Matrix4x2d)

Adds two instances.

Declaration
public static Matrix4x2d Add(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the addition.

Matrix4x2d right

The right operand of the addition.

Returns
Type Description
Matrix4x2d

A new instance that is the result of the addition.

Add(ref Matrix4x2d, ref Matrix4x2d, out Matrix4x2d)

Adds two instances.

Declaration
public static void Add(ref Matrix4x2d left, ref Matrix4x2d right, out Matrix4x2d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the addition.

Matrix4x2d right

The right operand of the addition.

Matrix4x2d result

A new instance that is the result of the addition.

CreateRotation(Double)

Builds a rotation matrix.

Declaration
public static Matrix4x2d CreateRotation(double angle)
Parameters
Type Name Description
Double angle

The counter-clockwise angle in radians.

Returns
Type Description
Matrix4x2d

The resulting Matrix3x2 instance.

CreateRotation(Double, out Matrix4x2d)

Builds a rotation matrix.

Declaration
public static void CreateRotation(double angle, out Matrix4x2d result)
Parameters
Type Name Description
Double angle

The counter-clockwise angle in radians.

Matrix4x2d result

The resulting Matrix3x2 instance.

CreateScale(Vector2d)

Creates a scale matrix.

Declaration
public static Matrix4x2d CreateScale(Vector2d scale)
Parameters
Type Name Description
Vector2d scale

Scale factors for the x and y axes.

Returns
Type Description
Matrix4x2d

A scale matrix.

CreateScale(Vector2d, out Matrix4x2d)

Creates a scale matrix.

Declaration
public static void CreateScale(Vector2d scale, out Matrix4x2d result)
Parameters
Type Name Description
Vector2d scale

Scale factors for the x and y axes.

Matrix4x2d result

A scale matrix.

CreateScale(Double)

Creates a scale matrix.

Declaration
public static Matrix4x2d CreateScale(double scale)
Parameters
Type Name Description
Double scale

Single scale factor for the x and y axes.

Returns
Type Description
Matrix4x2d

A scale matrix.

CreateScale(Double, out Matrix4x2d)

Creates a scale matrix.

Declaration
public static void CreateScale(double scale, out Matrix4x2d result)
Parameters
Type Name Description
Double scale

Single scale factor for the x, y, and z axes.

Matrix4x2d result

A scale matrix.

CreateScale(Double, Double)

Creates a scale matrix.

Declaration
public static Matrix4x2d CreateScale(double x, double y)
Parameters
Type Name Description
Double x

Scale factor for the x axis.

Double y

Scale factor for the y axis.

Returns
Type Description
Matrix4x2d

A scale matrix.

CreateScale(Double, Double, out Matrix4x2d)

Creates a scale matrix.

Declaration
public static void CreateScale(double x, double y, out Matrix4x2d result)
Parameters
Type Name Description
Double x

Scale factor for the x axis.

Double y

Scale factor for the y axis.

Matrix4x2d result

A scale matrix.

Equals(Matrix4x2d)

Indicates whether the current matrix is equal to another matrix.

Declaration
public bool Equals(Matrix4x2d other)
Parameters
Type Name Description
Matrix4x2d other

An matrix to compare with this matrix.

Returns
Type Description
Boolean

true if the current matrix is equal to the matrix parameter; otherwise, false.

Equals(Object)

Indicates whether this instance and a specified object are equal.

Declaration
public override bool Equals(object obj)
Parameters
Type Name Description
Object obj

The object to compare to.

Returns
Type Description
Boolean

True if the instances are equal; false otherwise.

Overrides
ValueType.Equals(Object)

GetHashCode()

Returns the hashcode for this instance.

Declaration
public override int GetHashCode()
Returns
Type Description
Int32

A System.Int32 containing the unique hashcode for this instance.

Overrides
ValueType.GetHashCode()

Mult(Matrix4x2d, Matrix2d)

Multiplies two instances.

Declaration
public static Matrix4x2d Mult(Matrix4x2d left, Matrix2d right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2d right

The right operand of the multiplication.

Returns
Type Description
Matrix4x2d

A new instance that is the result of the multiplication.

Mult(Matrix4x2d, Matrix2x3d)

Multiplies two instances.

Declaration
public static Matrix4x3d Mult(Matrix4x2d left, Matrix2x3d right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2x3d right

The right operand of the multiplication.

Returns
Type Description
Matrix4x3d

A new instance that is the result of the multiplication.

Mult(Matrix4x2d, Matrix2x4d)

Multiplies two instances.

Declaration
public static Matrix4d Mult(Matrix4x2d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2x4d right

The right operand of the multiplication.

Returns
Type Description
Matrix4d

A new instance that is the result of the multiplication.

Mult(Matrix4x2d, Double)

Multiplies and instance by a scalar.

Declaration
public static Matrix4x2d Mult(Matrix4x2d left, double right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Double right

The right operand of the multiplication.

Returns
Type Description
Matrix4x2d

A new instance that is the result of the multiplication.

Mult(ref Matrix4x2d, ref Matrix2d, out Matrix4x2d)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix4x2d left, ref Matrix2d right, out Matrix4x2d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2d right

The right operand of the multiplication.

Matrix4x2d result

A new instance that is the result of the multiplication.

Mult(ref Matrix4x2d, ref Matrix2x3d, out Matrix4x3d)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix4x2d left, ref Matrix2x3d right, out Matrix4x3d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2x3d right

The right operand of the multiplication.

Matrix4x3d result

A new instance that is the result of the multiplication.

Mult(ref Matrix4x2d, ref Matrix2x4d, out Matrix4d)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix4x2d left, ref Matrix2x4d right, out Matrix4d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Matrix2x4d right

The right operand of the multiplication.

Matrix4d result

A new instance that is the result of the multiplication.

Mult(ref Matrix4x2d, Double, out Matrix4x2d)

Multiplies and instance by a scalar.

Declaration
public static void Mult(ref Matrix4x2d left, double right, out Matrix4x2d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the multiplication.

Double right

The right operand of the multiplication.

Matrix4x2d result

A new instance that is the result of the multiplication.

Subtract(Matrix4x2d, Matrix4x2d)

Subtracts two instances.

Declaration
public static Matrix4x2d Subtract(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the subtraction.

Matrix4x2d right

The right operand of the subtraction.

Returns
Type Description
Matrix4x2d

A new instance that is the result of the subtraction.

Subtract(ref Matrix4x2d, ref Matrix4x2d, out Matrix4x2d)

Subtracts two instances.

Declaration
public static void Subtract(ref Matrix4x2d left, ref Matrix4x2d right, out Matrix4x2d result)
Parameters
Type Name Description
Matrix4x2d left

The left operand of the subtraction.

Matrix4x2d right

The right operand of the subtraction.

Matrix4x2d result

A new instance that is the result of the subtraction.

ToString()

Returns a System.String that represents the current Matrix3d.

Declaration
public override string ToString()
Returns
Type Description
String

The string representation of the matrix.

Overrides
ValueType.ToString()

Transpose(Matrix4x2d)

Calculate the transpose of the given matrix.

Declaration
public static Matrix2x4d Transpose(Matrix4x2d mat)
Parameters
Type Name Description
Matrix4x2d mat

The matrix to transpose.

Returns
Type Description
Matrix2x4d

The transpose of the given matrix.

Transpose(ref Matrix4x2d, out Matrix2x4d)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(ref Matrix4x2d mat, out Matrix2x4d result)
Parameters
Type Name Description
Matrix4x2d mat

The matrix to transpose.

Matrix2x4d result

The transpose of the given matrix.

Operators

Addition(Matrix4x2d, Matrix4x2d)

Matrix addition

Declaration
public static Matrix4x2d operator +(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Matrix4x2d right

right-hand operand

Returns
Type Description
Matrix4x2d

A new Matrix4x2d which holds the result of the addition

Equality(Matrix4x2d, Matrix4x2d)

Compares two instances for equality.

Declaration
public static bool operator ==(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

The first instance.

Matrix4x2d right

The second instance.

Returns
Type Description
Boolean

True, if left equals right; false otherwise.

Inequality(Matrix4x2d, Matrix4x2d)

Compares two instances for inequality.

Declaration
public static bool operator !=(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

The first instance.

Matrix4x2d right

The second instance.

Returns
Type Description
Boolean

True, if left does not equal right; false otherwise.

Multiply(Matrix4x2d, Matrix2d)

Matrix multiplication

Declaration
public static Matrix4x2d operator *(Matrix4x2d left, Matrix2d right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Matrix2d right

right-hand operand

Returns
Type Description
Matrix4x2d

A new Matrix2d which holds the result of the multiplication

Multiply(Matrix4x2d, Matrix2x3d)

Matrix multiplication

Declaration
public static Matrix4x3d operator *(Matrix4x2d left, Matrix2x3d right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Matrix2x3d right

right-hand operand

Returns
Type Description
Matrix4x3d

A new Matrix4x3d which holds the result of the multiplication

Multiply(Matrix4x2d, Matrix2x4d)

Matrix multiplication

Declaration
public static Matrix4d operator *(Matrix4x2d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Matrix2x4d right

right-hand operand

Returns
Type Description
Matrix4d

A new Matrix4d which holds the result of the multiplication

Multiply(Matrix4x2d, Double)

Scalar multiplication.

Declaration
public static Matrix4x2d operator *(Matrix4x2d left, double right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Double right

right-hand operand

Returns
Type Description
Matrix4x2d

A new Matrix4x2d which holds the result of the multiplication

Multiply(Double, Matrix4x2d)

Scalar multiplication.

Declaration
public static Matrix4x2d operator *(double left, Matrix4x2d right)
Parameters
Type Name Description
Double left

left-hand operand

Matrix4x2d right

right-hand operand

Returns
Type Description
Matrix4x2d

A new Matrix4x2d which holds the result of the multiplication

Subtraction(Matrix4x2d, Matrix4x2d)

Matrix subtraction

Declaration
public static Matrix4x2d operator -(Matrix4x2d left, Matrix4x2d right)
Parameters
Type Name Description
Matrix4x2d left

left-hand operand

Matrix4x2d right

right-hand operand

Returns
Type Description
Matrix4x2d

A new Matrix4x2d which holds the result of the subtraction

Implements

System.IEquatable<T>
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