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Struct Matrix2x4d

Represents a 2x4 matrix.

Implements
IEquatable<Matrix2x4d>
IFormattable
Inherited Members
object.Equals(object, object)
object.GetType()
object.ReferenceEquals(object, object)
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Matrix2x4d : IEquatable<Matrix2x4d>, IFormattable

Constructors

Matrix2x4d(Vector4d, Vector4d)

Initializes a new instance of the Matrix2x4d struct.

Declaration
public Matrix2x4d(Vector4d row0, Vector4d row1)
Parameters
Type Name Description
Vector4d row0

Top row of the matrix.

Vector4d row1

Bottom row of the matrix.

Matrix2x4d(double, double, double, double, double, double, double, double)

Initializes a new instance of the Matrix2x4d struct.

Declaration
public Matrix2x4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13)
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 m03

Fourth 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.

double m13

Fourth item of the second row of the matrix.

Fields

Row0

Top row of the matrix.

Declaration
public Vector4d Row0
Field Value
Type Description
Vector4d

Row1

Bottom row of the matrix.

Declaration
public Vector4d Row1
Field Value
Type Description
Vector4d

Zero

The zero matrix.

Declaration
public static readonly Matrix2x4d Zero
Field Value
Type Description
Matrix2x4d

Properties

Column0

Gets or sets the first column of the matrix.

Declaration
public Vector2d Column0 { readonly get; set; }
Property Value
Type Description
Vector2d

Column1

Gets or sets the second column of the matrix.

Declaration
public Vector2d Column1 { readonly get; set; }
Property Value
Type Description
Vector2d

Column2

Gets or sets the third column of the matrix.

Declaration
public Vector2d Column2 { readonly get; set; }
Property Value
Type Description
Vector2d

Column3

Gets or sets the fourth column of the matrix.

Declaration
public Vector2d Column3 { 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

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

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

M14

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

Declaration
public double M14 { 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

M24

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

Declaration
public double M24 { 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(Matrix2x4d, Matrix2x4d)

Adds two instances.

Declaration
[Pure]
public static Matrix2x4d Add(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the addition.

Matrix2x4d right

The right operand of the addition.

Returns
Type Description
Matrix2x4d

A new instance that is the result of the addition.

Add(in Matrix2x4d, in Matrix2x4d, out Matrix2x4d)

Adds two instances.

Declaration
public static void Add(in Matrix2x4d left, in Matrix2x4d right, out Matrix2x4d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the addition.

Matrix2x4d right

The right operand of the addition.

Matrix2x4d result

A new instance that is the result of the addition.

CreateRotation(double)

Builds a rotation matrix.

Declaration
[Pure]
public static Matrix2x4d CreateRotation(double angle)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.

Returns
Type Description
Matrix2x4d

The resulting Matrix2x3d instance.

CreateRotation(double, out Matrix2x4d)

Builds a rotation matrix.

Declaration
public static void CreateRotation(double angle, out Matrix2x4d result)
Parameters
Type Name Description
double angle

The counter-clockwise angle in radians.

Matrix2x4d result

The resulting Matrix2x4d instance.

CreateScale(Vector2d)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix2x4d CreateScale(Vector2d scale)
Parameters
Type Name Description
Vector2d scale

Scale factors for the x and y axes.

Returns
Type Description
Matrix2x4d

A scale matrix.

CreateScale(Vector2d, out Matrix2x4d)

Creates a scale matrix.

Declaration
public static void CreateScale(Vector2d scale, out Matrix2x4d result)
Parameters
Type Name Description
Vector2d scale

Scale factors for the x and y axes.

Matrix2x4d result

A scale matrix.

CreateScale(double)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix2x4d CreateScale(double scale)
Parameters
Type Name Description
double scale

Single scale factor for the x and y axes.

Returns
Type Description
Matrix2x4d

A scale matrix.

CreateScale(double, out Matrix2x4d)

Creates a scale matrix.

Declaration
public static void CreateScale(double scale, out Matrix2x4d result)
Parameters
Type Name Description
double scale

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

Matrix2x4d result

A scale matrix.

CreateScale(double, double)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix2x4d 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
Matrix2x4d

A scale matrix.

CreateScale(double, double, out Matrix2x4d)

Creates a scale matrix.

Declaration
public static void CreateScale(double x, double y, out Matrix2x4d result)
Parameters
Type Name Description
double x

Scale factor for the x axis.

double y

Scale factor for the y axis.

Matrix2x4d result

A scale matrix.

Equals(Matrix2x4d)

Indicates whether the current matrix is equal to another matrix.

Declaration
[Pure]
public readonly bool Equals(Matrix2x4d other)
Parameters
Type Name Description
Matrix2x4d 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(Matrix2x4d, Matrix4)

Multiplies two instances.

Declaration
[Pure]
public static Matrix2x4d Mult(Matrix2x4d left, Matrix4 right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4 right

The right operand of the multiplication.

Returns
Type Description
Matrix2x4d

A new instance that is the result of the multiplication.

Mult(Matrix2x4d, Matrix4x2)

Multiplies two instances.

Declaration
[Pure]
public static Matrix2d Mult(Matrix2x4d left, Matrix4x2 right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4x2 right

The right operand of the multiplication.

Returns
Type Description
Matrix2d

A new instance that is the result of the multiplication.

Mult(Matrix2x4d, Matrix4x3)

Multiplies two instances.

Declaration
[Pure]
public static Matrix2x3d Mult(Matrix2x4d left, Matrix4x3 right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4x3 right

The right operand of the multiplication.

Returns
Type Description
Matrix2x3d

A new instance that is the result of the multiplication.

Mult(Matrix2x4d, double)

Multiplies and instance by a scalar.

Declaration
[Pure]
public static Matrix2x4d Mult(Matrix2x4d left, double right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

double right

The right operand of the multiplication.

Returns
Type Description
Matrix2x4d

A new instance that is the result of the multiplication.

Mult(in Matrix2x4d, in Matrix4, out Matrix2x4d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix2x4d left, in Matrix4 right, out Matrix2x4d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4 right

The right operand of the multiplication.

Matrix2x4d result

A new instance that is the result of the multiplication.

Mult(in Matrix2x4d, in Matrix4x2, out Matrix2d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix2x4d left, in Matrix4x2 right, out Matrix2d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4x2 right

The right operand of the multiplication.

Matrix2d result

A new instance that is the result of the multiplication.

Mult(in Matrix2x4d, in Matrix4x3, out Matrix2x3d)

Multiplies two instances.

Declaration
public static void Mult(in Matrix2x4d left, in Matrix4x3 right, out Matrix2x3d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

Matrix4x3 right

The right operand of the multiplication.

Matrix2x3d result

A new instance that is the result of the multiplication.

Mult(in Matrix2x4d, double, out Matrix2x4d)

Multiplies and instance by a scalar.

Declaration
public static void Mult(in Matrix2x4d left, double right, out Matrix2x4d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the multiplication.

double right

The right operand of the multiplication.

Matrix2x4d result

A new instance that is the result of the multiplication.

Subtract(Matrix2x4d, Matrix2x4d)

Subtracts two instances.

Declaration
[Pure]
public static Matrix2x4d Subtract(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the subtraction.

Matrix2x4d right

The right operand of the subtraction.

Returns
Type Description
Matrix2x4d

A new instance that is the result of the subtraction.

Subtract(in Matrix2x4d, in Matrix2x4d, out Matrix2x4d)

Subtracts two instances.

Declaration
public static void Subtract(in Matrix2x4d left, in Matrix2x4d right, out Matrix2x4d result)
Parameters
Type Name Description
Matrix2x4d left

The left operand of the subtraction.

Matrix2x4d right

The right operand of the subtraction.

Matrix2x4d result

A new instance that is the result of the subtraction.

Swizzle(Matrix2x4d, int, int)

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

Declaration
public static Matrix2x4d Swizzle(Matrix2x4d mat, int rowForRow0, int rowForRow1)
Parameters
Type Name Description
Matrix2x4d mat

The matrix to swizzle.

int rowForRow0

Which row to place in Row0.

int rowForRow1

Which row to place in Row1.

Returns
Type Description
Matrix2x4d

The swizzled matrix.

Exceptions
Type Condition
IndexOutOfRangeException

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

Swizzle(in Matrix2x4d, int, int, out Matrix2x4d)

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

Declaration
public static void Swizzle(in Matrix2x4d mat, int rowForRow0, int rowForRow1, out Matrix2x4d result)
Parameters
Type Name Description
Matrix2x4d mat

The matrix to swizzle.

int rowForRow0

Which row to place in Row0.

int rowForRow1

Which row to place in Row1.

Matrix2x4d 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 Matrix2x4d 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
Matrix2x4d

The swizzled copy.

ToString()

Returns a System.String that represents the current Matrix4.

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(Matrix2x4d)

Calculate the transpose of the given matrix.

Declaration
[Pure]
public static Matrix4x2d Transpose(Matrix2x4d mat)
Parameters
Type Name Description
Matrix2x4d mat

The matrix to transpose.

Returns
Type Description
Matrix4x2d

The transpose of the given matrix.

Transpose(in Matrix2x4d, out Matrix4x2d)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(in Matrix2x4d mat, out Matrix4x2d result)
Parameters
Type Name Description
Matrix2x4d mat

The matrix to transpose.

Matrix4x2d result

The transpose of the given matrix.

Transposed()

Returns a transposed copy of this instance.

Declaration
public readonly Matrix4x2d Transposed()
Returns
Type Description
Matrix4x2d

The transposed copy.

Operators

operator +(Matrix2x4d, Matrix2x4d)

Matrix addition.

Declaration
[Pure]
public static Matrix2x4d operator +(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

Matrix2x4d right

right-hand operand.

Returns
Type Description
Matrix2x4d

A new Matrix2d which holds the result of the addition.

operator ==(Matrix2x4d, Matrix2x4d)

Compares two instances for equality.

Declaration
[Pure]
public static bool operator ==(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

The first instance.

Matrix2x4d right

The second instance.

Returns
Type Description
bool

True, if left equals right; false otherwise.

operator !=(Matrix2x4d, Matrix2x4d)

Compares two instances for inequality.

Declaration
[Pure]
public static bool operator !=(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

The first instance.

Matrix2x4d right

The second instance.

Returns
Type Description
bool

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

operator *(Matrix2x4d, Matrix4)

Matrix multiplication.

Declaration
[Pure]
public static Matrix2x4d operator *(Matrix2x4d left, Matrix4 right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

Matrix4 right

right-hand operand.

Returns
Type Description
Matrix2x4d

A new Matrix2x4d which holds the result of the multiplication.

operator *(Matrix2x4d, Matrix4x2)

Matrix multiplication.

Declaration
[Pure]
public static Matrix2d operator *(Matrix2x4d left, Matrix4x2 right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

Matrix4x2 right

right-hand operand.

Returns
Type Description
Matrix2d

A new Matrix2d which holds the result of the multiplication.

operator *(Matrix2x4d, Matrix4x3)

Matrix multiplication.

Declaration
[Pure]
public static Matrix2x3d operator *(Matrix2x4d left, Matrix4x3 right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

Matrix4x3 right

right-hand operand.

Returns
Type Description
Matrix2x3d

A new Matrix2x3d which holds the result of the multiplication.

operator *(Matrix2x4d, double)

Scalar multiplication.

Declaration
[Pure]
public static Matrix2x4d operator *(Matrix2x4d left, double right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

double right

right-hand operand.

Returns
Type Description
Matrix2x4d

A new Matrix2x4d which holds the result of the multiplication.

operator *(double, Matrix2x4d)

Scalar multiplication.

Declaration
[Pure]
public static Matrix2x4d operator *(double left, Matrix2x4d right)
Parameters
Type Name Description
double left

left-hand operand.

Matrix2x4d right

right-hand operand.

Returns
Type Description
Matrix2x4d

A new Matrix2x4d which holds the result of the multiplication.

operator -(Matrix2x4d, Matrix2x4d)

Matrix subtraction.

Declaration
[Pure]
public static Matrix2x4d operator -(Matrix2x4d left, Matrix2x4d right)
Parameters
Type Name Description
Matrix2x4d left

left-hand operand.

Matrix2x4d right

right-hand operand.

Returns
Type Description
Matrix2x4d

A new Matrix2x4d which holds the result of the subtraction.

Implements

IEquatable<T>
IFormattable
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