Struct Matrix3x3

Represents a 3x3 matrix.

Namespace: Evergine.Mathematics

Assembly: Evergine.Mathematics.dll

Syntax

public struct Matrix3x3

Constructors

Matrix3x3(float, float, float, float, float, float, float, float, float)

Initializes a new instance of the Matrix3x3 struct.

Declaration

public Matrix3x3(float m11, float m12, float m13, float m21, float m22, float m23, float m31, float m32, float m33)

Parameters

Type	Name	Description
float	m11	The M11 value.
float	m12	The M12 value.
float	m13	The M13 value.
float	m21	The M21 value.
float	m22	The M22 value.
float	m23	The M23 value.
float	m31	The M31 value.
float	m32	The M32 value.
float	m33	The M33 value.

Fields

M11

First row, first column.

Declaration

public float M11

Field Value

Type	Description
float

M12

First row, second column.

Declaration

public float M12

Field Value

Type	Description
float

M13

First row, third column.

Declaration

public float M13

Field Value

Type	Description
float

M21

Second row, first column.

Declaration

public float M21

Field Value

Type	Description
float

M22

Second row, second column.

Declaration

public float M22

Field Value

Type	Description
float

M23

Second row, third column.

Declaration

public float M23

Field Value

Type	Description
float

M31

Third row, first column.

Declaration

public float M31

Field Value

Type	Description
float

M32

Third row, second column.

Declaration

public float M32

Field Value

Type	Description
float

M33

Third row, third column.

Declaration

public float M33

Field Value

Type	Description
float

Properties

Down

Gets or sets down.

Declaration

public Vector2 Down { get; set; }

Property Value

Type	Description
Vector2	Down vector.

Identity

Gets the identity.

Declaration

public static Matrix3x3 Identity { get; }

Property Value

Type	Description
Matrix3x3

IsIdentity

Gets a value indicating whether the matrix is an identity matrix.

Declaration

public bool IsIdentity { get; }

Property Value

Type	Description
bool

Left

Gets or sets the left.

Declaration

public Vector2 Left { get; set; }

Property Value

Type	Description
Vector2	The left.

Right

Gets or sets the right.

Declaration

public Vector2 Right { get; set; }

Property Value

Type	Description
Vector2	The right.

Rotation

Gets the roll angle.

Declaration

public float Rotation { get; }

Property Value

Type	Description
float

Scale

Gets the scale vector from the matrix.

Declaration

public Vector2 Scale { get; }

Property Value

Type	Description
Vector2

Translation

Gets or sets the translation.

Declaration

public Vector2 Translation { get; set; }

Property Value

Type	Description
Vector2	The translation.

Up

Gets or sets up.

Declaration

public Vector2 Up { get; set; }

Property Value

Type	Description
Vector2	Up vector.

Methods

Add(Matrix3x3, Matrix3x3)

Adds the specified matrix1.

Declaration

public static Matrix3x3 Add(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result.

Add(ref Matrix3x3, ref Matrix3x3, out Matrix3x3)

Adds the specified matrix1.

Declaration

public static void Add(ref Matrix3x3 matrix1, ref Matrix3x3 matrix2, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.
Matrix3x3	result	The resulting matrix.

CreateFromQuaternion(Quaternion)

Creates from quaternion.

Declaration

public static Matrix3x3 CreateFromQuaternion(Quaternion quaternion)

Parameters

Type	Name	Description
Quaternion	quaternion	The quaternion.

Returns

Type	Description
Matrix3x3	The result.

CreateFromQuaternion(ref Quaternion, out Matrix3x3)

Creates from a quaternion.

Declaration

public static void CreateFromQuaternion(ref Quaternion quaternion, out Matrix3x3 matrix)

Parameters

Type	Name	Description
Quaternion	quaternion	The quaternion.
Matrix3x3	matrix	The matrix.

CreateRotation(Vector2, float)

Creates the rotation.

Declaration

public static Matrix3x3 CreateRotation(Vector2 translate, float angle)

Parameters

Type	Name	Description
Vector2	translate	The translation.
float	angle	The angle.

Returns

Type	Description
Matrix3x3	The result.

CreateRotation(float)

Creates the rotation.

Declaration

public static Matrix3x3 CreateRotation(float angle)

Parameters

Type	Name	Description
float	angle	The angle.

Returns

Type	Description
Matrix3x3	The result.

CreateScale(Vector2)

Creates the scale.

Declaration

public static Matrix3x3 CreateScale(Vector2 scales)

Parameters

Type	Name	Description
Vector2	scales	The scales.

Returns

Type	Description
Matrix3x3	The result.

CreateScale(ref Vector2, out Matrix3x3)

Creates the scale.

Declaration

public static void CreateScale(ref Vector2 scales, out Matrix3x3 result)

Parameters

Type	Name	Description
Vector2	scales	The scales.
Matrix3x3	result	The result.

CreateScale(float)

Creates the scale.

Declaration

public static Matrix3x3 CreateScale(float scale)

Parameters

Type	Name	Description
float	scale	The scale.

Returns

Type	Description
Matrix3x3	The result.

CreateScale(float, out Matrix3x3)

Creates the scale.

Declaration

public static void CreateScale(float scale, out Matrix3x3 result)

Parameters

Type	Name	Description
float	scale	The scale.
Matrix3x3	result	The result.

CreateScale(float, float)

Creates the scale.

Declaration

public static Matrix3x3 CreateScale(float xScale, float yScale)

Parameters

Type	Name	Description
float	xScale	The x scale.
float	yScale	The y scale.

Returns

Type	Description
Matrix3x3	The result.

CreateScale(float, float, out Matrix3x3)

Creates the scale.

Declaration

public static void CreateScale(float xScale, float yScale, out Matrix3x3 result)

Parameters

Type	Name	Description
float	xScale	The x scale.
float	yScale	The y scale.
Matrix3x3	result	The result.

CreateTransform(Vector2, float, Vector2)

Creates a transformation matrix.

Declaration

public static Matrix3x3 CreateTransform(Vector2 translate, float angle, Vector2 scale)

Parameters

Type	Name	Description
Vector2	translate	2D translation.
float	angle	Rotation angle.
Vector2	scale	Axis scale.

Returns

Type	Description
Matrix3x3	The result.

CreateTransform(Vector2, float, float)

Creates a transform matrix.

Declaration

public static Matrix3x3 CreateTransform(Vector2 translate, float angle, float scale)

Parameters

Type	Name	Description
Vector2	translate	2D translation.
float	angle	Rotation angle.
float	scale	Axis scale.

Returns

Type	Description
Matrix3x3	The result.

CreateTranslation(Vector2)

Creates the translation.

Declaration

public static Matrix3x3 CreateTranslation(Vector2 position)

Parameters

Type	Name	Description
Vector2	position	The position.

Returns

Type	Description
Matrix3x3	The result.

CreateTranslation(ref Vector2, out Matrix3x3)

Creates the translation.

Declaration

public static void CreateTranslation(ref Vector2 position, out Matrix3x3 result)

Parameters

Type	Name	Description
Vector2	position	The position.
Matrix3x3	result	The result.

CreateTranslation(float, float)

Creates the translation.

Declaration

public static Matrix3x3 CreateTranslation(float xPosition, float yPosition)

Parameters

Type	Name	Description
float	xPosition	The x-position.
float	yPosition	The y-position.

Returns

Type	Description
Matrix3x3	The result.

CreateTranslation(float, float, out Matrix3x3)

Creates the translation.

Declaration

public static void CreateTranslation(float xPosition, float yPosition, out Matrix3x3 result)

Parameters

Type	Name	Description
float	xPosition	The X position.
float	yPosition	The Y position.
Matrix3x3	result	The result.

Determinant()

Determines this instance.

Declaration

public float Determinant()

Returns

Type	Description
float	The result.

Equals(Matrix3x3)

Compares the specified object to this instance.

Declaration

public bool Equals(Matrix3x3 other)

Parameters

Type	Name	Description
Matrix3x3	other	The object to compare with this instance.

Returns

Type	Description
bool	The comparison result.

Equals(ref Matrix3x3)

Compares the specified other object for equality.

Declaration

public bool Equals(ref Matrix3x3 other)

Parameters

Type	Name	Description
Matrix3x3	other	The other object to compare.

Returns

Type	Description
bool	The result of the comparison.

Equals(object)

Determines whether the specified object is equal to this instance.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
object	obj	The object to compare with this instance.

Returns

Type	Description
bool	true if the specified object is equal to this instance; otherwise, false.

Overrides

ValueType.Equals(object)

GetHashCode()

Returns a hash code for this instance.

Declaration

public override int GetHashCode()

Returns

Type	Description
int	A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.

Overrides

ValueType.GetHashCode()

Invert(Matrix3x3)

Inverts the specified matrix.

Declaration

public static Matrix3x3 Invert(Matrix3x3 matrix)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.

Returns

Type	Description
Matrix3x3	The result.

Invert(ref Matrix3x3, out Matrix3x3)

Inverts the specified matrix.

Declaration

public static bool Invert(ref Matrix3x3 matrix, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
Matrix3x3	result	The result.

Returns

Type	Description
bool	True if everything is ok.

Lerp(Matrix3x3, Matrix3x3, float)

Lerps the specified matrix1.

Declaration

public static Matrix3x3 Lerp(Matrix3x3 matrix1, Matrix3x3 matrix2, float amount)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.
float	amount	The interpolation amount.

Returns

Type	Description
Matrix3x3	The result.

Lerp(ref Matrix3x3, ref Matrix3x3, float, out Matrix3x3)

Lerps the specified matrix1.

Declaration

public static void Lerp(ref Matrix3x3 matrix1, ref Matrix3x3 matrix2, float amount, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.
float	amount	The interpolation amount.
Matrix3x3	result	The resulting matrix.

Multiply(Matrix3x3, Matrix3x3)

Multiplies the specified matrix.

Declaration

public static Matrix3x3 Multiply(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result.

Multiply(Matrix3x3, float)

Multiplies the specified matrix.

Declaration

public static Matrix3x3 Multiply(Matrix3x3 matrix1, float scaleFactor)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The matrix.
float	scaleFactor	The scale factor.

Returns

Type	Description
Matrix3x3	The result.

Multiply(ref Matrix3x3, ref Matrix3x3, out Matrix3x3)

Multiplies the specified matrix.

Declaration

public static void Multiply(ref Matrix3x3 matrix1, ref Matrix3x3 matrix2, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.
Matrix3x3	result	The result.

Multiply(ref Matrix3x3, float, out Matrix3x3)

Multiplies the specified matrix.

Declaration

public static void Multiply(ref Matrix3x3 matrix, float scaleFactor, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
float	scaleFactor	The scale factor.
Matrix3x3	result	The result.

Negate(Matrix3x3)

Negates the specified matrix.

Declaration

public static Matrix3x3 Negate(Matrix3x3 matrix)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.

Returns

Type	Description
Matrix3x3	The result.

Negate(ref Matrix3x3, out Matrix3x3)

Negates the specified matrix.

Declaration

public static void Negate(ref Matrix3x3 matrix, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
Matrix3x3	result	The result.

SetSameDiagonal(float)

Sets the same diagonal values in the matrix.

Declaration

public void SetSameDiagonal(float d)

Parameters

Type	Name	Description
float	d	The diagonal value.

Subtract(Matrix3x3, Matrix3x3)

Subtracts the specified matrix1.

Declaration

public static Matrix3x3 Subtract(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result.

Subtract(ref Matrix3x3, ref Matrix3x3, out Matrix3x3)

Subtracts the specified matrix.

Declaration

public static void Subtract(ref Matrix3x3 matrix1, ref Matrix3x3 matrix2, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.
Matrix3x3	result	The resulting matrix.

ToMatrix4x4(Matrix3x3)

Creates a 4x4 matrix from a 3x3 matrix.

Declaration

public static Matrix4x4 ToMatrix4x4(Matrix3x3 a)

Parameters

Type	Name	Description
Matrix3x3	a	3x3 matrix.

Returns

Type	Description
Matrix4x4	Created 4x4 matrix.

ToMatrix4x4(ref Matrix3x3, out Matrix4x4)

Creates a 4x4 matrix from a 3x3 matrix.

Declaration

public static void ToMatrix4x4(ref Matrix3x3 a, out Matrix4x4 b)

Parameters

Type	Name	Description
Matrix3x3	a	3x3 matrix.
Matrix4x4	b	4x4 matrix that is created.

ToString()

Returns a string that represents this instance.

Declaration

public override string ToString()

Returns

Type	Description
string	A string that represents this instance.

Overrides

ValueType.ToString()

Transpose(Matrix3x3)

Transposes the specified matrix.

Declaration

public static Matrix3x3 Transpose(Matrix3x3 matrix)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.

Returns

Type	Description
Matrix3x3	The result.

Transpose(ref Matrix3x3, out Matrix3x3)

Transposes the specified matrix.

Declaration

public static void Transpose(ref Matrix3x3 matrix, out Matrix3x3 result)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
Matrix3x3	result	The result.

Operators

operator +(Matrix3x3, Matrix3x3)

Implements the operator +.

Declaration

public static Matrix3x3 operator +(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result of the operation.

operator /(Matrix3x3, Matrix3x3)

Implements the operator /.

Declaration

public static Matrix3x3 operator /(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result of the operator.

operator /(Matrix3x3, float)

Implements the operator /.

Declaration

public static Matrix3x3 operator /(Matrix3x3 matrix, float divider)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
float	divider	The divisor.

Returns

Type	Description
Matrix3x3	The result of the operation.

operator ==(Matrix3x3, Matrix3x3)

Implements the operator ==.

Declaration

public static bool operator ==(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
bool	The result of the operator.

operator !=(Matrix3x3, Matrix3x3)

Implements the operator !=.

Declaration

public static bool operator !=(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
bool	The result of the operator.

operator *(Matrix3x3, Matrix3x3)

Implements the operator *.

Declaration

public static Matrix3x3 operator *(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result of the operation.

operator *(Matrix3x3, float)

Implements the operator *.

Declaration

public static Matrix3x3 operator *(Matrix3x3 matrix, float scaleFactor)

Parameters

Type	Name	Description
Matrix3x3	matrix	The matrix.
float	scaleFactor	The scale factor.

Returns

Type	Description
Matrix3x3	The result of the operation.

operator *(float, Matrix3x3)

Implements the operator *.

Declaration

public static Matrix3x3 operator *(float scaleFactor, Matrix3x3 matrix)

Parameters

Type	Name	Description
float	scaleFactor	The scale factor.
Matrix3x3	matrix	The matrix.

Returns

Type	Description
Matrix3x3	The result of the operation.

operator -(Matrix3x3, Matrix3x3)

Implements the operator -.

Declaration

public static Matrix3x3 operator -(Matrix3x3 matrix1, Matrix3x3 matrix2)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.
Matrix3x3	matrix2	The second matrix.

Returns

Type	Description
Matrix3x3	The result of the operator.

operator -(Matrix3x3)

Implements the operator -.

Declaration

public static Matrix3x3 operator -(Matrix3x3 matrix1)

Parameters

Type	Name	Description
Matrix3x3	matrix1	The first matrix.

Returns

Type	Description
Matrix3x3	The result of the operator.

Extension Methods

ReflectionHelper.GetMemberAssembly(object)

ReflectionHelper.GetTypeName(object)