Struct Matrix2x3d

Represents a 2x3 matrix.

Implements

IEquatable<Matrix2x3d>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Matrix2x3d : IEquatable<Matrix2x3d>, IFormattable

Constructors

Matrix2x3d(Vector3d, Vector3d)

Initializes a new instance of the Matrix2x3d struct.

Declaration

public Matrix2x3d(Vector3d row0, Vector3d row1)

Parameters

Type	Name	Description
Vector3d	row0	Top row of the matrix.
Vector3d	row1	Bottom row of the matrix.

Matrix2x3d(double, double, double, double, double, double)

Initializes a new instance of the Matrix2x3d struct.

Declaration

public Matrix2x3d(double m00, double m01, double m02, double m10, double m11, double m12)

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	m02	Third 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	m12	Third item of the second row of the matrix.

Fields

Row0

Top row of the matrix.

Declaration

public Vector3d Row0

Field Value

Type	Description
Vector3d

Row1

Bottom row of the matrix.

Declaration

public Vector3d Row1

Field Value

Type	Description
Vector3d

Zero

The zero matrix.

Declaration

public static readonly Matrix2x3d Zero

Field Value

Type	Description
Matrix2x3d

Properties

Column0

Gets or sets the first column of this matrix.

Declaration

public Vector2d Column0 { readonly get; set; }

Property Value

Type	Description
Vector2d

Column1

Gets or sets the second column of this matrix.

Declaration

public Vector2d Column1 { readonly get; set; }

Property Value

Type	Description
Vector2d

Column2

Gets or sets the third column of this matrix.

Declaration

public Vector2d Column2 { readonly get; set; }

Property Value

Type	Description
Vector2d

Diagonal

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

Declaration

public Vector2d Diagonal { readonly get; set; }

Property Value

Type	Description
Vector2d

this[int, int]

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

Declaration

public double 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
double

M11

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

Declaration

public double M11 { readonly 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 { readonly get; set; }

Property Value

Type	Description
double

M13

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

Declaration

public double M13 { readonly 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 { readonly 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 { readonly get; set; }

Property Value

Type	Description
double

M23

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

Declaration

public double M23 { readonly 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(Matrix2x3d, Matrix2x3d)

Adds two instances.

Declaration

[Pure]
public static Matrix2x3d Add(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the addition.
Matrix2x3d	right	The right operand of the addition.

Returns

Type	Description
Matrix2x3d	A new instance that is the result of the addition.

Add(in Matrix2x3d, in Matrix2x3d, out Matrix2x3d)

Adds two instances.

Declaration

public static void Add(in Matrix2x3d left, in Matrix2x3d right, out Matrix2x3d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the addition.
Matrix2x3d	right	The right operand of the addition.
Matrix2x3d	result	A new instance that is the result of the addition.

CreateRotation(double)

Builds a rotation matrix.

Declaration

[Pure]
public static Matrix2x3d CreateRotation(double angle)

Parameters

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

Returns

Type	Description
Matrix2x3d	The resulting Matrix2x3d instance.

CreateRotation(double, out Matrix2x3d)

Builds a rotation matrix.

Declaration

public static void CreateRotation(double angle, out Matrix2x3d result)

Parameters

Type	Name	Description
double	angle	The counter-clockwise angle in radians.
Matrix2x3d	result	The resulting Matrix2x3d instance.

CreateScale(Vector2d)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix2x3d CreateScale(Vector2d scale)

Parameters

Type	Name	Description
Vector2d	scale	Scale factors for the x and y axes.

Returns

Type	Description
Matrix2x3d	A scale matrix.

CreateScale(Vector2d, out Matrix2x3d)

Creates a scale matrix.

Declaration

public static void CreateScale(Vector2d scale, out Matrix2x3d result)

Parameters

Type	Name	Description
Vector2d	scale	Scale factors for the x and y axes.
Matrix2x3d	result	A scale matrix.

CreateScale(double)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix2x3d CreateScale(double scale)

Parameters

Type	Name	Description
double	scale	Single scale factor for the x and y axes.

Returns

Type	Description
Matrix2x3d	A scale matrix.

CreateScale(double, out Matrix2x3d)

Creates a scale matrix.

Declaration

public static void CreateScale(double scale, out Matrix2x3d result)

Parameters

Type	Name	Description
double	scale	Single scale factor for the x, y, and z axes.
Matrix2x3d	result	A scale matrix.

CreateScale(double, double)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix2x3d 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
Matrix2x3d	A scale matrix.

CreateScale(double, double, out Matrix2x3d)

Creates a scale matrix.

Declaration

public static void CreateScale(double x, double y, out Matrix2x3d result)

Parameters

Type	Name	Description
double	x	Scale factor for the x axis.
double	y	Scale factor for the y axis.
Matrix2x3d	result	A scale matrix.

Equals(Matrix2x3d)

Indicates whether the current matrix is equal to another matrix.

Declaration

[Pure]
public readonly bool Equals(Matrix2x3d other)

Parameters

Type	Name	Description
Matrix2x3d	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()

Mult(Matrix2x3d, Matrix3)

Multiplies two instances.

Declaration

[Pure]
public static Matrix2x3d Mult(Matrix2x3d left, Matrix3 right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3	right	The right operand of the multiplication.

Returns

Type	Description
Matrix2x3d	A new instance that is the result of the multiplication.

Mult(Matrix2x3d, Matrix3x2)

Multiplies two instances.

Declaration

[Pure]
public static Matrix2d Mult(Matrix2x3d left, Matrix3x2 right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3x2	right	The right operand of the multiplication.

Returns

Type	Description
Matrix2d	A new instance that is the result of the multiplication.

Mult(Matrix2x3d, Matrix3x4)

Multiplies two instances.

Declaration

[Pure]
public static Matrix2x4d Mult(Matrix2x3d left, Matrix3x4 right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3x4	right	The right operand of the multiplication.

Returns

Type	Description
Matrix2x4d	A new instance that is the result of the multiplication.

Mult(Matrix2x3d, double)

Multiplies and instance by a scalar.

Declaration

[Pure]
public static Matrix2x3d Mult(Matrix2x3d left, double right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
double	right	The right operand of the multiplication.

Returns

Type	Description
Matrix2x3d	A new instance that is the result of the multiplication.

Mult(in Matrix2x3d, in Matrix3, out Matrix2x3d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix2x3d left, in Matrix3 right, out Matrix2x3d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3	right	The right operand of the multiplication.
Matrix2x3d	result	A new instance that is the result of the multiplication.

Mult(in Matrix2x3d, in Matrix3x2, out Matrix2d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix2x3d left, in Matrix3x2 right, out Matrix2d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3x2	right	The right operand of the multiplication.
Matrix2d	result	A new instance that is the result of the multiplication.

Mult(in Matrix2x3d, in Matrix3x4, out Matrix2x4d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix2x3d left, in Matrix3x4 right, out Matrix2x4d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
Matrix3x4	right	The right operand of the multiplication.
Matrix2x4d	result	A new instance that is the result of the multiplication.

Mult(in Matrix2x3d, double, out Matrix2x3d)

Multiplies and instance by a scalar.

Declaration

public static void Mult(in Matrix2x3d left, double right, out Matrix2x3d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the multiplication.
double	right	The right operand of the multiplication.
Matrix2x3d	result	A new instance that is the result of the multiplication.

Subtract(Matrix2x3d, Matrix2x3d)

Subtracts two instances.

Declaration

[Pure]
public static Matrix2x3d Subtract(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the subtraction.
Matrix2x3d	right	The right operand of the subtraction.

Returns

Type	Description
Matrix2x3d	A new instance that is the result of the subtraction.

Subtract(in Matrix2x3d, in Matrix2x3d, out Matrix2x3d)

Subtracts two instances.

Declaration

public static void Subtract(in Matrix2x3d left, in Matrix2x3d right, out Matrix2x3d result)

Parameters

Type	Name	Description
Matrix2x3d	left	The left operand of the subtraction.
Matrix2x3d	right	The right operand of the subtraction.
Matrix2x3d	result	A new instance that is the result of the subtraction.

Swizzle(Matrix2x3d, int, int)

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

Declaration

public static Matrix2x3d Swizzle(Matrix2x3d mat, int rowForRow0, int rowForRow1)

Parameters

Type	Name	Description
Matrix2x3d	mat	The matrix to swizzle.
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.

Returns

Type	Description
Matrix2x3d	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 1].

Swizzle(in Matrix2x3d, int, int, out Matrix2x3d)

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

Declaration

public static void Swizzle(in Matrix2x3d mat, int rowForRow0, int rowForRow1, out Matrix2x3d result)

Parameters

Type	Name	Description
Matrix2x3d	mat	The matrix to swizzle.
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.
Matrix2x3d	result	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 1].

Swizzle(int, int)

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

Declaration

public void Swizzle(int rowForRow0, int rowForRow1)

Parameters

Type	Name	Description
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.

Swizzled(int, int)

Returns a swizzled copy of this instance.

Declaration

public readonly Matrix2x3d Swizzled(int rowForRow0, int rowForRow1)

Parameters

Type	Name	Description
int	rowForRow0	Which row to place in Row0.
int	rowForRow1	Which row to place in Row1.

Returns

Type	Description
Matrix2x3d	The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix2x3d.

Declaration

public override 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 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 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 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(Matrix2x3d)

Calculate the transpose of the given matrix.

Declaration

[Pure]
public static Matrix3x2d Transpose(Matrix2x3d mat)

Parameters

Type	Name	Description
Matrix2x3d	mat	The matrix to transpose.

Returns

Type	Description
Matrix3x2d	The transpose of the given matrix.

Transpose(in Matrix2x3d, out Matrix3x2d)

Calculate the transpose of the given matrix.

Declaration

public static void Transpose(in Matrix2x3d mat, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix2x3d	mat	The matrix to transpose.
Matrix3x2d	result	The transpose of the given matrix.

Transposed()

Returns a transposed copy of this instance.

Declaration

public readonly Matrix3x2d Transposed()

Returns

Type	Description
Matrix3x2d	The transposed copy.

Operators

operator +(Matrix2x3d, Matrix2x3d)

Matrix addition.

Declaration

[Pure]
public static Matrix2x3d operator +(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
Matrix2x3d	right	right-hand operand.

Returns

Type	Description
Matrix2x3d	A new Matrix2x3d which holds the result of the addition.

operator ==(Matrix2x3d, Matrix2x3d)

Compares two instances for equality.

Declaration

[Pure]
public static bool operator ==(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	The first instance.
Matrix2x3d	right	The second instance.

Returns

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

operator !=(Matrix2x3d, Matrix2x3d)

Compares two instances for inequality.

Declaration

[Pure]
public static bool operator !=(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	The first instance.
Matrix2x3d	right	The second instance.

Returns

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

operator *(Matrix2x3d, Matrix3)

Matrix multiplication.

Declaration

[Pure]
public static Matrix2x3d operator *(Matrix2x3d left, Matrix3 right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
Matrix3	right	right-hand operand.

Returns

Type	Description
Matrix2x3d	A new Matrix2x3d which holds the result of the multiplication.

operator *(Matrix2x3d, Matrix3x2)

Matrix multiplication.

Declaration

[Pure]
public static Matrix2d operator *(Matrix2x3d left, Matrix3x2 right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
Matrix3x2	right	right-hand operand.

Returns

Type	Description
Matrix2d	A new Matrix2d which holds the result of the multiplication.

operator *(Matrix2x3d, Matrix3x4)

Matrix multiplication.

Declaration

[Pure]
public static Matrix2x4d operator *(Matrix2x3d left, Matrix3x4 right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
Matrix3x4	right	right-hand operand.

Returns

Type	Description
Matrix2x4d	A new Matrix2x4d which holds the result of the multiplication.

operator *(Matrix2x3d, double)

Scalar multiplication.

Declaration

[Pure]
public static Matrix2x3d operator *(Matrix2x3d left, double right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
double	right	right-hand operand.

Returns

Type	Description
Matrix2x3d	A new Matrix2x3d which holds the result of the multiplication.

operator *(double, Matrix2x3d)

Scalar multiplication.

Declaration

[Pure]
public static Matrix2x3d operator *(double left, Matrix2x3d right)

Parameters

Type	Name	Description
double	left	left-hand operand.
Matrix2x3d	right	right-hand operand.

Returns

Type	Description
Matrix2x3d	A new Matrix2x3d which holds the result of the multiplication.

operator -(Matrix2x3d, Matrix2x3d)

Matrix subtraction.

Declaration

[Pure]
public static Matrix2x3d operator -(Matrix2x3d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix2x3d	left	left-hand operand.
Matrix2x3d	right	right-hand operand.

Returns

Type	Description
Matrix2x3d	A new Matrix2x3d which holds the result of the subtraction.

Implements

IEquatable<T>

IFormattable