Struct Matrix3x2d

Represents a 3x2 matrix.

Implements

IEquatable<Matrix3x2d>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Matrix3x2d : IEquatable<Matrix3x2d>, IFormattable

Constructors

Matrix3x2d(Vector2d, Vector2d, Vector2d)

Initializes a new instance of the Matrix3x2d struct.

Declaration

public Matrix3x2d(Vector2d row0, Vector2d row1, Vector2d row2)

Parameters

Type	Name	Description
Vector2d	row0	Top row of the matrix.
Vector2d	row1	Second row of the matrix.
Vector2d	row2	Bottom row of the matrix.

Matrix3x2d(double, double, double, double, double, double)

Initializes a new instance of the Matrix3x2d struct.

Declaration

public Matrix3x2d(double m00, double m01, double m10, double m11, double m20, double m21)

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.

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

Bottom row of the matrix.

Declaration

public Vector2d Row2

Field Value

Type	Description
Vector2d

Zero

The zero matrix.

Declaration

public static readonly Matrix3x2d Zero

Field Value

Type	Description
Matrix3x2d

Properties

Column0

Gets or sets the first column of this matrix.

Declaration

public Vector3d Column0 { readonly get; set; }

Property Value

Type	Description
Vector3d

Column1

Gets or sets the second column of this matrix.

Declaration

public Vector3d Column1 { readonly get; set; }

Property Value

Type	Description
Vector3d

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	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 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

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

M31

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

Declaration

public double M31 { readonly 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 { 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(Matrix3x2d, Matrix3x2d)

Adds two instances.

Declaration

[Pure]
public static Matrix3x2d Add(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the addition.
Matrix3x2d	right	The right operand of the addition.

Returns

Type	Description
Matrix3x2d	A new instance that is the result of the addition.

Add(in Matrix3x2d, in Matrix3x2d, out Matrix3x2d)

Adds two instances.

Declaration

public static void Add(in Matrix3x2d left, in Matrix3x2d right, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the addition.
Matrix3x2d	right	The right operand of the addition.
Matrix3x2d	result	A new instance that is the result of the addition.

CreateRotation(double)

Builds a rotation matrix.

Declaration

[Pure]
public static Matrix3x2d CreateRotation(double angle)

Parameters

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

Returns

Type	Description
Matrix3x2d	The resulting Matrix3x2d instance.

CreateRotation(double, out Matrix3x2d)

Builds a rotation matrix.

Declaration

public static void CreateRotation(double angle, out Matrix3x2d result)

Parameters

Type	Name	Description
double	angle	The counter-clockwise angle in radians.
Matrix3x2d	result	The resulting Matrix3x2d instance.

CreateScale(Vector2d)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix3x2d CreateScale(Vector2d scale)

Parameters

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

Returns

Type	Description
Matrix3x2d	A scale matrix.

CreateScale(Vector2d, out Matrix3x2d)

Creates a scale matrix.

Declaration

public static void CreateScale(Vector2d scale, out Matrix3x2d result)

Parameters

Type	Name	Description
Vector2d	scale	Scale factors for the x and y axes.
Matrix3x2d	result	A scale matrix.

CreateScale(double)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix3x2d CreateScale(double scale)

Parameters

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

Returns

Type	Description
Matrix3x2d	A scale matrix.

CreateScale(double, out Matrix3x2d)

Creates a scale matrix.

Declaration

public static void CreateScale(double scale, out Matrix3x2d result)

Parameters

Type	Name	Description
double	scale	Single scale factor for the x, y, and z axes.
Matrix3x2d	result	A scale matrix.

CreateScale(double, double)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix3x2d 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
Matrix3x2d	A scale matrix.

CreateScale(double, double, out Matrix3x2d)

Creates a scale matrix.

Declaration

public static void CreateScale(double x, double y, out Matrix3x2d result)

Parameters

Type	Name	Description
double	x	Scale factor for the x axis.
double	y	Scale factor for the y axis.
Matrix3x2d	result	A scale matrix.

Equals(Matrix3x2d)

Indicates whether the current matrix is equal to another matrix.

Declaration

[Pure]
public readonly bool Equals(Matrix3x2d other)

Parameters

Type	Name	Description
Matrix3x2d	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 to.

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(Matrix3x2d, Matrix2d)

Multiplies two instances.

Declaration

[Pure]
public static Matrix3x2d Mult(Matrix3x2d left, Matrix2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2d	right	The right operand of the multiplication.

Returns

Type	Description
Matrix3x2d	A new instance that is the result of the multiplication.

Mult(Matrix3x2d, Matrix2x3d)

Multiplies two instances.

Declaration

[Pure]
public static Matrix3d Mult(Matrix3x2d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2x3d	right	The right operand of the multiplication.

Returns

Type	Description
Matrix3d	A new instance that is the result of the multiplication.

Mult(Matrix3x2d, Matrix2x4d)

Multiplies two instances.

Declaration

[Pure]
public static Matrix3x4d Mult(Matrix3x2d left, Matrix2x4d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2x4d	right	The right operand of the multiplication.

Returns

Type	Description
Matrix3x4d	A new instance that is the result of the multiplication.

Mult(Matrix3x2d, double)

Multiplies and instance by a scalar.

Declaration

[Pure]
public static Matrix3x2d Mult(Matrix3x2d left, double right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
double	right	The right operand of the multiplication.

Returns

Type	Description
Matrix3x2d	A new instance that is the result of the multiplication.

Mult(in Matrix3x2d, in Matrix2d, out Matrix3x2d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix3x2d left, in Matrix2d right, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2d	right	The right operand of the multiplication.
Matrix3x2d	result	A new instance that is the result of the multiplication.

Mult(in Matrix3x2d, in Matrix2x3d, out Matrix3d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix3x2d left, in Matrix2x3d right, out Matrix3d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2x3d	right	The right operand of the multiplication.
Matrix3d	result	A new instance that is the result of the multiplication.

Mult(in Matrix3x2d, in Matrix2x4d, out Matrix3x4d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix3x2d left, in Matrix2x4d right, out Matrix3x4d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
Matrix2x4d	right	The right operand of the multiplication.
Matrix3x4d	result	A new instance that is the result of the multiplication.

Mult(in Matrix3x2d, double, out Matrix3x2d)

Multiplies and instance by a scalar.

Declaration

public static void Mult(in Matrix3x2d left, double right, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the multiplication.
double	right	The right operand of the multiplication.
Matrix3x2d	result	A new instance that is the result of the multiplication.

Subtract(Matrix3x2d, Matrix3x2d)

Subtracts two instances.

Declaration

[Pure]
public static Matrix3x2d Subtract(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the subtraction.
Matrix3x2d	right	The right operand of the subtraction.

Returns

Type	Description
Matrix3x2d	A new instance that is the result of the subtraction.

Subtract(in Matrix3x2d, in Matrix3x2d, out Matrix3x2d)

Subtracts two instances.

Declaration

public static void Subtract(in Matrix3x2d left, in Matrix3x2d right, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix3x2d	left	The left operand of the subtraction.
Matrix3x2d	right	The right operand of the subtraction.
Matrix3x2d	result	A new instance that is the result of the subtraction.

Swizzle(Matrix3x2d, int, int, int)

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

Declaration

public static Matrix3x2d Swizzle(Matrix3x2d mat, int rowForRow0, int rowForRow1, int rowForRow2)

Parameters

Type	Name	Description
Matrix3x2d	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.

Returns

Type	Description
Matrix3x2d	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 2].

Swizzle(in Matrix3x2d, int, int, int, out Matrix3x2d)

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

Declaration

public static void Swizzle(in Matrix3x2d mat, int rowForRow0, int rowForRow1, int rowForRow2, out Matrix3x2d result)

Parameters

Type	Name	Description
Matrix3x2d	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.
Matrix3x2d	result	The swizzled matrix.

Exceptions

Type	Condition
IndexOutOfRangeException	If any of the rows are outside of the range [0, 2].

Swizzle(int, int, int)

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

Declaration

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

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.

Swizzled(int, int, int)

Returns a swizzled copy of this instance.

Declaration

public readonly Matrix3x2d Swizzled(int rowForRow0, int rowForRow1, int rowForRow2)

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.

Returns

Type	Description
Matrix3x2d	The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix3d.

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(Matrix3x2d)

Calculate the transpose of the given matrix.

Declaration

[Pure]
public static Matrix2x3d Transpose(Matrix3x2d mat)

Parameters

Type	Name	Description
Matrix3x2d	mat	The matrix to transpose.

Returns

Type	Description
Matrix2x3d	The transpose of the given matrix.

Transpose(in Matrix3x2d, out Matrix2x3d)

Calculate the transpose of the given matrix.

Declaration

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

Parameters

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

Transposed()

Returns a transposed copy of this instance.

Declaration

public readonly Matrix2x3d Transposed()

Returns

Type	Description
Matrix2x3d	The transposed copy.

Operators

operator +(Matrix3x2d, Matrix3x2d)

Matrix addition.

Declaration

[Pure]
public static Matrix3x2d operator +(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
Matrix3x2d	right	right-hand operand.

Returns

Type	Description
Matrix3x2d	A new Matrix3x2d which holds the result of the addition.

operator ==(Matrix3x2d, Matrix3x2d)

Compares two instances for equality.

Declaration

[Pure]
public static bool operator ==(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The first instance.
Matrix3x2d	right	The second instance.

Returns

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

operator !=(Matrix3x2d, Matrix3x2d)

Compares two instances for inequality.

Declaration

[Pure]
public static bool operator !=(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	The first instance.
Matrix3x2d	right	The second instance.

Returns

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

operator *(Matrix3x2d, Matrix2d)

Matrix multiplication.

Declaration

[Pure]
public static Matrix3x2d operator *(Matrix3x2d left, Matrix2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
Matrix2d	right	right-hand operand.

Returns

Type	Description
Matrix3x2d	A new Matrix3x2d which holds the result of the multiplication.

operator *(Matrix3x2d, Matrix2x3d)

Matrix multiplication.

Declaration

[Pure]
public static Matrix3d operator *(Matrix3x2d left, Matrix2x3d right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
Matrix2x3d	right	right-hand operand.

Returns

Type	Description
Matrix3d	A new Matrix3d which holds the result of the multiplication.

operator *(Matrix3x2d, Matrix2x4d)

Matrix multiplication.

Declaration

[Pure]
public static Matrix3x4d operator *(Matrix3x2d left, Matrix2x4d right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
Matrix2x4d	right	right-hand operand.

Returns

Type	Description
Matrix3x4d	A new Matrix3x4 which holds the result of the multiplication.

operator *(Matrix3x2d, double)

Scalar multiplication.

Declaration

[Pure]
public static Matrix3x2d operator *(Matrix3x2d left, double right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
double	right	right-hand operand.

Returns

Type	Description
Matrix3x2d	A new Matrix3x2d which holds the result of the multiplication.

operator *(double, Matrix3x2d)

Scalar multiplication.

Declaration

[Pure]
public static Matrix3x2d operator *(double left, Matrix3x2d right)

Parameters

Type	Name	Description
double	left	left-hand operand.
Matrix3x2d	right	right-hand operand.

Returns

Type	Description
Matrix3x2d	A new Matrix3x2d which holds the result of the multiplication.

operator -(Matrix3x2d, Matrix3x2d)

Matrix subtraction.

Declaration

[Pure]
public static Matrix3x2d operator -(Matrix3x2d left, Matrix3x2d right)

Parameters

Type	Name	Description
Matrix3x2d	left	left-hand operand.
Matrix3x2d	right	right-hand operand.

Returns

Type	Description
Matrix3x2d	A new Matrix3x2d which holds the result of the subtraction.

Implements

IEquatable<T>

IFormattable