Struct Matrix4x3

Represents a 3x4 matrix.

Implements

IEquatable<Matrix4x3>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Matrix4x3 : IEquatable<Matrix4x3>, IFormattable

Constructors

Matrix4x3(Vector3, Vector3, Vector3, Vector3)

Initializes a new instance of the Matrix4x3 struct.

Declaration

public Matrix4x3(Vector3 row0, Vector3 row1, Vector3 row2, Vector3 row3)

Parameters

Type	Name	Description
Vector3	row0	Top row of the matrix.
Vector3	row1	Second row of the matrix.
Vector3	row2	Third row of the matrix.
Vector3	row3	Bottom row of the matrix.

Matrix4x3(float, float, float, float, float, float, float, float, float, float, float, float)

Initializes a new instance of the Matrix4x3 struct.

Declaration

public Matrix4x3(float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22, float m30, float m31, float m32)

Parameters

Type	Name	Description
float	m00	First item of the first row of the matrix.
float	m01	Second item of the first row of the matrix.
float	m02	Third item of the first row of the matrix.
float	m10	First item of the second row of the matrix.
float	m11	Second item of the second row of the matrix.
float	m12	Third item of the second row of the matrix.
float	m20	First item of the third row of the matrix.
float	m21	Second item of the third row of the matrix.
float	m22	Third item of the third row of the matrix.
float	m30	First item of the fourth row of the matrix.
float	m31	Second item of the fourth row of the matrix.
float	m32	Third item of the fourth row of the matrix.

Fields

Row0

Top row of the matrix.

Declaration

public Vector3 Row0

Field Value

Type	Description
Vector3

Row1

2nd row of the matrix.

Declaration

public Vector3 Row1

Field Value

Type	Description
Vector3

Row2

3rd row of the matrix.

Declaration

public Vector3 Row2

Field Value

Type	Description
Vector3

Row3

Bottom row of the matrix.

Declaration

public Vector3 Row3

Field Value

Type	Description
Vector3

Zero

The zero matrix.

Declaration

public static readonly Matrix4x3 Zero

Field Value

Type	Description
Matrix4x3

Properties

Column0

Gets the first column of this matrix.

Declaration

public Vector4 Column0 { readonly get; set; }

Property Value

Type	Description
Vector4

Column1

Gets the second column of this matrix.

Declaration

public Vector4 Column1 { readonly get; set; }

Property Value

Type	Description
Vector4

Column2

Gets the third column of this matrix.

Declaration

public Vector4 Column2 { readonly get; set; }

Property Value

Type	Description
Vector4

Diagonal

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

Declaration

public Vector3 Diagonal { readonly get; set; }

Property Value

Type	Description
Vector3

this[int, int]

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

Declaration

public float this[int rowIndex, int columnIndex] { readonly get; set; }

Parameters

Type	Name	Description
int	rowIndex	The index of the row.
int	columnIndex	The index of the column.

Property Value

Type	Description
float	The element at the given row and column index.

M11

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

Declaration

public float M11 { readonly get; set; }

Property Value

Type	Description
float

M12

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

Declaration

public float M12 { readonly get; set; }

Property Value

Type	Description
float

M13

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

Declaration

public float M13 { readonly get; set; }

Property Value

Type	Description
float

M21

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

Declaration

public float M21 { readonly get; set; }

Property Value

Type	Description
float

M22

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

Declaration

public float M22 { readonly get; set; }

Property Value

Type	Description
float

M23

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

Declaration

public float M23 { readonly get; set; }

Property Value

Type	Description
float

M31

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

Declaration

public float M31 { readonly get; set; }

Property Value

Type	Description
float

M32

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

Declaration

public float M32 { readonly get; set; }

Property Value

Type	Description
float

M33

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

Declaration

public float M33 { readonly get; set; }

Property Value

Type	Description
float

M41

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

Declaration

public float M41 { readonly get; set; }

Property Value

Type	Description
float

M42

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

Declaration

public float M42 { readonly get; set; }

Property Value

Type	Description
float

M43

Gets or sets the value at row 4, column 3 of this instance.

Declaration

public float M43 { readonly get; set; }

Property Value

Type	Description
float

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
float

Methods

Add(Matrix4x3, Matrix4x3)

Adds two instances.

Declaration

[Pure]
public static Matrix4x3 Add(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the addition.
Matrix4x3	right	The right operand of the addition.

Returns

Type	Description
Matrix4x3	A new instance that is the result of the addition.

Add(in Matrix4x3, in Matrix4x3, out Matrix4x3)

Adds two instances.

Declaration

public static void Add(in Matrix4x3 left, in Matrix4x3 right, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the addition.
Matrix4x3	right	The right operand of the addition.
Matrix4x3	result	A new instance that is the result of the addition.

CreateFromAxisAngle(Vector3, float)

Build a rotation matrix from the specified axis/angle rotation.

Declaration

[Pure]
public static Matrix4x3 CreateFromAxisAngle(Vector3 axis, float angle)

Parameters

Type	Name	Description
Vector3	axis	The axis to rotate about.
float	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).

Returns

Type	Description
Matrix4x3	A matrix instance.

CreateFromAxisAngle(Vector3, float, out Matrix4x3)

Build a rotation matrix from the specified axis/angle rotation.

Declaration

public static void CreateFromAxisAngle(Vector3 axis, float angle, out Matrix4x3 result)

Parameters

Type	Name	Description
Vector3	axis	The axis to rotate about.
float	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
Matrix4x3	result	A matrix instance.

CreateFromQuaternion(Quaternion)

Builds a rotation matrix from a quaternion.

Declaration

[Pure]
public static Matrix4x3 CreateFromQuaternion(Quaternion q)

Parameters

Type	Name	Description
Quaternion	q	The quaternion to rotate by.

Returns

Type	Description
Matrix4x3	A matrix instance.

CreateFromQuaternion(in Quaternion, out Matrix4x3)

Builds a rotation matrix from a quaternion.

Declaration

public static void CreateFromQuaternion(in Quaternion q, out Matrix4x3 result)

Parameters

Type	Name	Description
Quaternion	q	The quaternion to rotate by.
Matrix4x3	result	A matrix instance.

CreateRotationX(float)

Builds a rotation matrix for a rotation around the x-axis.

Declaration

[Pure]
public static Matrix4x3 CreateRotationX(float angle)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4x3	The resulting Matrix4 instance.

CreateRotationX(float, out Matrix4x3)

Builds a rotation matrix for a rotation around the x-axis.

Declaration

public static void CreateRotationX(float angle, out Matrix4x3 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4x3	result	The resulting Matrix4 instance.

CreateRotationY(float)

Builds a rotation matrix for a rotation around the y-axis.

Declaration

[Pure]
public static Matrix4x3 CreateRotationY(float angle)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4x3	The resulting Matrix4 instance.

CreateRotationY(float, out Matrix4x3)

Builds a rotation matrix for a rotation around the y-axis.

Declaration

public static void CreateRotationY(float angle, out Matrix4x3 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4x3	result	The resulting Matrix4 instance.

CreateRotationZ(float)

Builds a rotation matrix for a rotation around the z-axis.

Declaration

[Pure]
public static Matrix4x3 CreateRotationZ(float angle)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4x3	The resulting Matrix4 instance.

CreateRotationZ(float, out Matrix4x3)

Builds a rotation matrix for a rotation around the z-axis.

Declaration

public static void CreateRotationZ(float angle, out Matrix4x3 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4x3	result	The resulting Matrix4 instance.

CreateScale(Vector3)

Build a scaling matrix.

Declaration

[Pure]
public static Matrix4x3 CreateScale(Vector3 scale)

Parameters

Type	Name	Description
Vector3	scale	Scale factors for x,y and z axes.

Returns

Type	Description
Matrix4x3	A scaling matrix.

CreateScale(float)

Build a scaling matrix.

Declaration

[Pure]
public static Matrix4x3 CreateScale(float scale)

Parameters

Type	Name	Description
float	scale	Single scale factor for x,y and z axes.

Returns

Type	Description
Matrix4x3	A scaling matrix.

CreateScale(float, float, float)

Build a scaling matrix.

Declaration

[Pure]
public static Matrix4x3 CreateScale(float x, float y, float z)

Parameters

Type	Name	Description
float	x	Scale factor for x-axis.
float	y	Scale factor for y-axis.
float	z	Scale factor for z-axis.

Returns

Type	Description
Matrix4x3	A scaling matrix.

CreateTranslation(Vector3)

Creates a translation matrix.

Declaration

[Pure]
public static Matrix4x3 CreateTranslation(Vector3 vector)

Parameters

Type	Name	Description
Vector3	vector	The translation vector.

Returns

Type	Description
Matrix4x3	The resulting Matrix4 instance.

CreateTranslation(in Vector3, out Matrix4x3)

Creates a translation matrix.

Declaration

public static void CreateTranslation(in Vector3 vector, out Matrix4x3 result)

Parameters

Type	Name	Description
Vector3	vector	The translation vector.
Matrix4x3	result	The resulting Matrix4 instance.

CreateTranslation(float, float, float)

Creates a translation matrix.

Declaration

[Pure]
public static Matrix4x3 CreateTranslation(float x, float y, float z)

Parameters

Type	Name	Description
float	x	X translation.
float	y	Y translation.
float	z	Z translation.

Returns

Type	Description
Matrix4x3	The resulting Matrix4 instance.

CreateTranslation(float, float, float, out Matrix4x3)

Creates a translation matrix.

Declaration

public static void CreateTranslation(float x, float y, float z, out Matrix4x3 result)

Parameters

Type	Name	Description
float	x	X translation.
float	y	Y translation.
float	z	Z translation.
Matrix4x3	result	The resulting Matrix4 instance.

Equals(Matrix4x3)

Indicates whether the current matrix is equal to another matrix.

Declaration

[Pure]
public readonly bool Equals(Matrix4x3 other)

Parameters

Type	Name	Description
Matrix4x3	other	An matrix to compare with this matrix.

Returns

Type	Description
bool	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

[Pure]
public override readonly bool Equals(object obj)

Parameters

Type	Name	Description
object	obj	The object to compare tresult.

Returns

Type	Description
bool	True if the instances are equal; false otherwise.

Overrides

ValueType.Equals(object)

GetHashCode()

Returns the hashcode for this instance.

Declaration

public override readonly int GetHashCode()

Returns

Type	Description
int	A System.Int32 containing the unique hashcode for this instance.

Overrides

ValueType.GetHashCode()

Invert()

Converts this instance into it's inverse by inverting the upper-left 3x3 and replacing Row3.

Declaration

public void Invert()

Invert(Matrix4x3)

Calculate the inverse of the given matrix.

Declaration

[Pure]
public static Matrix4x3 Invert(Matrix4x3 mat)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to invert.

Returns

Type	Description
Matrix4x3	The inverse of the given matrix.

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4 is singular.

Invert(in Matrix4x3, out Matrix4x3)

Calculate the inverse of the given matrix.

Declaration

public static void Invert(in Matrix4x3 mat, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to invert.
Matrix4x3	result	The inverse of the given matrix if it has one, or the input if it is singular.

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4 is singular.

Inverted()

Returns an inverted copy of this instance.

Declaration

public readonly Matrix4x3 Inverted()

Returns

Type	Description
Matrix4x3	The inverted copy.

Mult(Matrix4x3, Matrix3x4)

This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances.

Declaration

[Pure]
public static Matrix4 Mult(Matrix4x3 left, Matrix3x4 right)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
Matrix3x4	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4	A new instance that is the result of the multiplication.

Mult(Matrix4x3, Matrix4x3)

Multiplies two instances.

Declaration

[Pure]
public static Matrix4x3 Mult(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
Matrix4x3	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4x3	A new instance that is the result of the multiplication.

Mult(Matrix4x3, float)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Matrix4x3 Mult(Matrix4x3 left, float right)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
float	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4x3	A new instance that is the result of the multiplication.

Mult(in Matrix4x3, in Matrix3x4, out Matrix4)

This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances.

Declaration

public static void Mult(in Matrix4x3 left, in Matrix3x4 right, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
Matrix3x4	right	The right operand of the multiplication.
Matrix4	result	A new instance that is the result of the multiplication.

Mult(in Matrix4x3, in Matrix4x3, out Matrix4x3)

This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances.

Declaration

public static void Mult(in Matrix4x3 left, in Matrix4x3 right, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
Matrix4x3	right	The right operand of the multiplication.
Matrix4x3	result	A new instance that is the result of the multiplication.

Mult(in Matrix4x3, float, out Matrix4x3)

Multiplies an instance by a scalar.

Declaration

public static void Mult(in Matrix4x3 left, float right, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the multiplication.
float	right	The right operand of the multiplication.
Matrix4x3	result	A new instance that is the result of the multiplication.

Subtract(Matrix4x3, Matrix4x3)

Subtracts one instance from another.

Declaration

[Pure]
public static Matrix4x3 Subtract(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the subraction.
Matrix4x3	right	The right operand of the subraction.

Returns

Type	Description
Matrix4x3	A new instance that is the result of the subraction.

Subtract(in Matrix4x3, in Matrix4x3, out Matrix4x3)

Subtracts one instance from another.

Declaration

public static void Subtract(in Matrix4x3 left, in Matrix4x3 right, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	left	The left operand of the subraction.
Matrix4x3	right	The right operand of the subraction.
Matrix4x3	result	A new instance that is the result of the subraction.

Swizzle(Matrix4x3, int, int, int, int)

Swizzles a matrix, i.e. switches rows of the matrix.

Declaration

public static Matrix4x3 Swizzle(Matrix4x3 mat, int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to swizzle.
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.
int	rowForRow2	Which row to place in Row2.
int	rowForRow3	Which row to place in Row3.

Returns

Type	Description
Matrix4x3	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 3].

Swizzle(in Matrix4x3, int, int, int, int, out Matrix4x3)

Swizzles a matrix, i.e. switches rows of the matrix.

Declaration

public static void Swizzle(in Matrix4x3 mat, int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3, out Matrix4x3 result)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to swizzle.
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.
int	rowForRow2	Which row to place in Row2.
int	rowForRow3	Which row to place in Row3.
Matrix4x3	result	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 3].

Swizzle(int, int, int, int)

Swizzles this instance. Swiches places of the rows of the matrix.

Declaration

public void Swizzle(int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)

Parameters

Type	Name	Description
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.
int	rowForRow2	Which row to place in Row2.
int	rowForRow3	Which row to place in Row3.

Swizzled(int, int, int, int)

Returns a swizzled copy of this instance.

Declaration

public readonly Matrix4x3 Swizzled(int rowForRow0, int rowForRow1, int rowForRow2, int rowForRow3)

Parameters

Type	Name	Description
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.
int	rowForRow2	Which row to place in Row2.
int	rowForRow3	Which row to place in Row3.

Returns

Type	Description
Matrix4x3	The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix4x3.

Declaration

public override readonly string ToString()

Returns

Type	Description
string	The string representation of the matrix.

Overrides

ValueType.ToString()

ToString(IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(IFormatProvider formatProvider)

Parameters

Type	Name	Description
IFormatProvider	formatProvider	The provider to use to format the value. -or- A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns

Type	Description
string	The value of the current instance in the specified format.

ToString(string)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(string format)

Parameters

Type	Name	Description
string	format	The format to use. -or- A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.

Returns

Type	Description
string	The value of the current instance in the specified format.

ToString(string, IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration

public readonly string ToString(string format, IFormatProvider formatProvider)

Parameters

Type	Name	Description
string	format	The format to use. -or- A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
IFormatProvider	formatProvider	The provider to use to format the value. -or- A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.

Returns

Type	Description
string	The value of the current instance in the specified format.

Transpose(Matrix4x3)

Calculate the transpose of the given matrix.

Declaration

[Pure]
public static Matrix3x4 Transpose(Matrix4x3 mat)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to transpose.

Returns

Type	Description
Matrix3x4	The transpose of the given matrix.

Transpose(in Matrix4x3, out Matrix3x4)

Calculate the transpose of the given matrix.

Declaration

public static void Transpose(in Matrix4x3 mat, out Matrix3x4 result)

Parameters

Type	Name	Description
Matrix4x3	mat	The matrix to transpose.
Matrix3x4	result	The result of the calculation.

Transposed()

Returns a transposed copy of this instance.

Declaration

public readonly Matrix3x4 Transposed()

Returns

Type	Description
Matrix3x4	The transposed copy.

Operators

operator +(Matrix4x3, Matrix4x3)

Matrix addition.

Declaration

[Pure]
public static Matrix4x3 operator +(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	left-hand operand.
Matrix4x3	right	right-hand operand.

Returns

Type	Description
Matrix4x3	A new Matrix4x3 which holds the result of the addition.

operator ==(Matrix4x3, Matrix4x3)

Compares two instances for equality.

Declaration

[Pure]
public static bool operator ==(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	The first instance.
Matrix4x3	right	The second instance.

Returns

Type	Description
bool	True, if left equals right; false otherwise.

operator !=(Matrix4x3, Matrix4x3)

Compares two instances for inequality.

Declaration

[Pure]
public static bool operator !=(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	The first instance.
Matrix4x3	right	The second instance.

Returns

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

operator *(Matrix4x3, Matrix3x4)

Matrix multiplication.

Declaration

[Pure]
public static Matrix4 operator *(Matrix4x3 left, Matrix3x4 right)

Parameters

Type	Name	Description
Matrix4x3	left	left-hand operand.
Matrix3x4	right	right-hand operand.

Returns

Type	Description
Matrix4	A new Matrix4 which holds the result of the multiplication.

operator *(Matrix4x3, Matrix4x3)

Matrix multiplication.

Declaration

[Pure]
public static Matrix4x3 operator *(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	left-hand operand.
Matrix4x3	right	right-hand operand.

Returns

Type	Description
Matrix4x3	A new Matrix4x3 which holds the result of the multiplication.

operator *(Matrix4x3, float)

Matrix-scalar multiplication.

Declaration

[Pure]
public static Matrix4x3 operator *(Matrix4x3 left, float right)

Parameters

Type	Name	Description
Matrix4x3	left	left-hand operand.
float	right	right-hand operand.

Returns

Type	Description
Matrix4x3	A new Matrix4x3 which holds the result of the multiplication.

operator -(Matrix4x3, Matrix4x3)

Matrix subtraction.

Declaration

[Pure]
public static Matrix4x3 operator -(Matrix4x3 left, Matrix4x3 right)

Parameters

Type	Name	Description
Matrix4x3	left	left-hand operand.
Matrix4x3	right	right-hand operand.

Returns

Type	Description
Matrix4x3	A new Matrix4x3 which holds the result of the subtraction.

Implements

IEquatable<T>

IFormattable