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Struct Matrix2x3

Represents a 2x3 matrix.

Implements
IEquatable<Matrix2x3>
Inherited Members
Object.Equals(Object, Object)
Object.ReferenceEquals(Object, Object)
Object.GetType()
Namespace: OpenTK
Assembly: OpenTK.dll
Syntax
public struct Matrix2x3 : IEquatable<Matrix2x3>

Constructors

Matrix2x3(Vector3, Vector3)

Constructs a new instance.

Declaration
public Matrix2x3(Vector3 row0, Vector3 row1)
Parameters
Type Name Description
Vector3 row0

Top row of the matrix.

Vector3 row1

Bottom row of the matrix.

Matrix2x3(Single, Single, Single, Single, Single, Single)

Constructs a new instance

Declaration
public Matrix2x3(float m00, float m01, float m02, float m10, float m11, float m12)
Parameters
Type Name Description
Single m00

First item of the first row of the matrix.

Single m01

Second item of the first row of the matrix.

Single m02

Third item of the first row of the matrix.

Single m10

First item of the second row of the matrix.

Single m11

Second item of the second row of the matrix.

Single m12

Third item of the second row of the matrix.

Fields

Row0

Top row of the matrix.

Declaration
public Vector3 Row0
Field Value
Type Description
Vector3

Row1

Bottom row of the matrix.

Declaration
public Vector3 Row1
Field Value
Type Description
Vector3

Zero

The zero matrix.

Declaration
public static readonly Matrix2x3 Zero
Field Value
Type Description
Matrix2x3

Properties

Column0

Gets or sets the first column of this matrix.

Declaration
public Vector2 Column0 { get; set; }
Property Value
Type Description
Vector2

Column1

Gets or sets the second column of this matrix.

Declaration
public Vector2 Column1 { get; set; }
Property Value
Type Description
Vector2

Column2

Gets or sets the third column of this matrix.

Declaration
public Vector2 Column2 { get; set; }
Property Value
Type Description
Vector2

Diagonal

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

Declaration
public Vector2 Diagonal { get; set; }
Property Value
Type Description
Vector2

Item[Int32, Int32]

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

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

M11

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

Declaration
public float M11 { get; set; }
Property Value
Type Description
Single

M12

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

Declaration
public float M12 { get; set; }
Property Value
Type Description
Single

M13

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

Declaration
public float M13 { get; set; }
Property Value
Type Description
Single

M21

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

Declaration
public float M21 { get; set; }
Property Value
Type Description
Single

M22

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

Declaration
public float M22 { get; set; }
Property Value
Type Description
Single

M23

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

Declaration
public float M23 { get; set; }
Property Value
Type Description
Single

Trace

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

Declaration
public readonly float Trace { get; }
Property Value
Type Description
Single

Methods

Add(Matrix2x3, Matrix2x3)

Adds two instances.

Declaration
public static Matrix2x3 Add(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the addition.

Matrix2x3 right

The right operand of the addition.

Returns
Type Description
Matrix2x3

A new instance that is the result of the addition.

Add(ref Matrix2x3, ref Matrix2x3, out Matrix2x3)

Adds two instances.

Declaration
public static void Add(ref Matrix2x3 left, ref Matrix2x3 right, out Matrix2x3 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the addition.

Matrix2x3 right

The right operand of the addition.

Matrix2x3 result

A new instance that is the result of the addition.

CreateRotation(Single)

Builds a rotation matrix.

Declaration
public static Matrix2x3 CreateRotation(float angle)
Parameters
Type Name Description
Single angle

The counter-clockwise angle in radians.

Returns
Type Description
Matrix2x3

The resulting Matrix2x3 instance.

CreateRotation(Single, out Matrix2x3)

Builds a rotation matrix.

Declaration
public static void CreateRotation(float angle, out Matrix2x3 result)
Parameters
Type Name Description
Single angle

The counter-clockwise angle in radians.

Matrix2x3 result

The resulting Matrix2x3 instance.

CreateScale(Vector2)

Creates a scale matrix.

Declaration
public static Matrix2x3 CreateScale(Vector2 scale)
Parameters
Type Name Description
Vector2 scale

Scale factors for the x and y axes.

Returns
Type Description
Matrix2x3

A scale matrix.

CreateScale(Vector2, out Matrix2x3)

Creates a scale matrix.

Declaration
public static void CreateScale(Vector2 scale, out Matrix2x3 result)
Parameters
Type Name Description
Vector2 scale

Scale factors for the x and y axes.

Matrix2x3 result

A scale matrix.

CreateScale(Single)

Creates a scale matrix.

Declaration
public static Matrix2x3 CreateScale(float scale)
Parameters
Type Name Description
Single scale

Single scale factor for the x and y axes.

Returns
Type Description
Matrix2x3

A scale matrix.

CreateScale(Single, out Matrix2x3)

Creates a scale matrix.

Declaration
public static void CreateScale(float scale, out Matrix2x3 result)
Parameters
Type Name Description
Single scale

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

Matrix2x3 result

A scale matrix.

CreateScale(Single, Single)

Creates a scale matrix.

Declaration
public static Matrix2x3 CreateScale(float x, float y)
Parameters
Type Name Description
Single x

Scale factor for the x axis.

Single y

Scale factor for the y axis.

Returns
Type Description
Matrix2x3

A scale matrix.

CreateScale(Single, Single, out Matrix2x3)

Creates a scale matrix.

Declaration
public static void CreateScale(float x, float y, out Matrix2x3 result)
Parameters
Type Name Description
Single x

Scale factor for the x axis.

Single y

Scale factor for the y axis.

Matrix2x3 result

A scale matrix.

Equals(Matrix2x3)

Indicates whether the current matrix is equal to another matrix.

Declaration
public bool Equals(Matrix2x3 other)
Parameters
Type Name Description
Matrix2x3 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 tresult.

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(Matrix2x3, Matrix3)

Multiplies two instances.

Declaration
public static Matrix2x3 Mult(Matrix2x3 left, Matrix3 right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3 right

The right operand of the multiplication.

Returns
Type Description
Matrix2x3

A new instance that is the result of the multiplication.

Mult(Matrix2x3, Matrix3x2)

Multiplies two instances.

Declaration
public static Matrix2 Mult(Matrix2x3 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3x2 right

The right operand of the multiplication.

Returns
Type Description
Matrix2

A new instance that is the result of the multiplication.

Mult(Matrix2x3, Matrix3x4)

Multiplies two instances.

Declaration
public static Matrix2x4 Mult(Matrix2x3 left, Matrix3x4 right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3x4 right

The right operand of the multiplication.

Returns
Type Description
Matrix2x4

A new instance that is the result of the multiplication.

Mult(Matrix2x3, Single)

Multiplies and instance by a scalar.

Declaration
public static Matrix2x3 Mult(Matrix2x3 left, float right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Single right

The right operand of the multiplication.

Returns
Type Description
Matrix2x3

A new instance that is the result of the multiplication.

Mult(ref Matrix2x3, ref Matrix3, out Matrix2x3)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix2x3 left, ref Matrix3 right, out Matrix2x3 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3 right

The right operand of the multiplication.

Matrix2x3 result

A new instance that is the result of the multiplication.

Mult(ref Matrix2x3, ref Matrix3x2, out Matrix2)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix2x3 left, ref Matrix3x2 right, out Matrix2 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3x2 right

The right operand of the multiplication.

Matrix2 result

A new instance that is the result of the multiplication.

Mult(ref Matrix2x3, ref Matrix3x4, out Matrix2x4)

Multiplies two instances.

Declaration
public static void Mult(ref Matrix2x3 left, ref Matrix3x4 right, out Matrix2x4 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Matrix3x4 right

The right operand of the multiplication.

Matrix2x4 result

A new instance that is the result of the multiplication.

Mult(ref Matrix2x3, Single, out Matrix2x3)

Multiplies and instance by a scalar.

Declaration
public static void Mult(ref Matrix2x3 left, float right, out Matrix2x3 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the multiplication.

Single right

The right operand of the multiplication.

Matrix2x3 result

A new instance that is the result of the multiplication.

Subtract(Matrix2x3, Matrix2x3)

Subtracts two instances.

Declaration
public static Matrix2x3 Subtract(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the subtraction.

Matrix2x3 right

The right operand of the subtraction.

Returns
Type Description
Matrix2x3

A new instance that is the result of the subtraction.

Subtract(ref Matrix2x3, ref Matrix2x3, out Matrix2x3)

Subtracts two instances.

Declaration
public static void Subtract(ref Matrix2x3 left, ref Matrix2x3 right, out Matrix2x3 result)
Parameters
Type Name Description
Matrix2x3 left

The left operand of the subtraction.

Matrix2x3 right

The right operand of the subtraction.

Matrix2x3 result

A new instance that is the result of the subtraction.

ToString()

Returns a System.String that represents the current Matrix2x3.

Declaration
public override string ToString()
Returns
Type Description
String

The string representation of the matrix.

Overrides
ValueType.ToString()

Transpose(Matrix2x3)

Calculate the transpose of the given matrix.

Declaration
public static Matrix3x2 Transpose(Matrix2x3 mat)
Parameters
Type Name Description
Matrix2x3 mat

The matrix to transpose.

Returns
Type Description
Matrix3x2

The transpose of the given matrix.

Transpose(ref Matrix2x3, out Matrix3x2)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(ref Matrix2x3 mat, out Matrix3x2 result)
Parameters
Type Name Description
Matrix2x3 mat

The matrix to transpose.

Matrix3x2 result

The transpose of the given matrix.

Operators

Addition(Matrix2x3, Matrix2x3)

Matrix addition

Declaration
public static Matrix2x3 operator +(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Matrix2x3 right

right-hand operand

Returns
Type Description
Matrix2x3

A new Matrix2x3 which holds the result of the addition

Equality(Matrix2x3, Matrix2x3)

Compares two instances for equality.

Declaration
public static bool operator ==(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

The first instance.

Matrix2x3 right

The second instance.

Returns
Type Description
Boolean

True, if left equals right; false otherwise.

Inequality(Matrix2x3, Matrix2x3)

Compares two instances for inequality.

Declaration
public static bool operator !=(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

The first instance.

Matrix2x3 right

The second instance.

Returns
Type Description
Boolean

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

Multiply(Matrix2x3, Matrix3)

Matrix multiplication

Declaration
public static Matrix2x3 operator *(Matrix2x3 left, Matrix3 right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Matrix3 right

right-hand operand

Returns
Type Description
Matrix2x3

A new Matrix2x3 which holds the result of the multiplication

Multiply(Matrix2x3, Matrix3x2)

Matrix multiplication

Declaration
public static Matrix2 operator *(Matrix2x3 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Matrix3x2 right

right-hand operand

Returns
Type Description
Matrix2

A new Matrix2 which holds the result of the multiplication

Multiply(Matrix2x3, Matrix3x4)

Matrix multiplication

Declaration
public static Matrix2x4 operator *(Matrix2x3 left, Matrix3x4 right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Matrix3x4 right

right-hand operand

Returns
Type Description
Matrix2x4

A new Matrix2x4 which holds the result of the multiplication

Multiply(Matrix2x3, Single)

Scalar multiplication.

Declaration
public static Matrix2x3 operator *(Matrix2x3 left, float right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Single right

right-hand operand

Returns
Type Description
Matrix2x3

A new Matrix2x3 which holds the result of the multiplication

Multiply(Single, Matrix2x3)

Scalar multiplication.

Declaration
public static Matrix2x3 operator *(float left, Matrix2x3 right)
Parameters
Type Name Description
Single left

left-hand operand

Matrix2x3 right

right-hand operand

Returns
Type Description
Matrix2x3

A new Matrix2x3 which holds the result of the multiplication

Subtraction(Matrix2x3, Matrix2x3)

Matrix subtraction

Declaration
public static Matrix2x3 operator -(Matrix2x3 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix2x3 left

left-hand operand

Matrix2x3 right

right-hand operand

Returns
Type Description
Matrix2x3

A new Matrix2x3 which holds the result of the subtraction

Implements

System.IEquatable<T>
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