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Struct Matrix3x2

Represents a 3x2 matrix.

Implements
IEquatable<Matrix3x2>
IFormattable
Inherited Members
object.Equals(object, object)
object.GetType()
object.ReferenceEquals(object, object)
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Matrix3x2 : IEquatable<Matrix3x2>, IFormattable

Constructors

Matrix3x2(Vector2, Vector2, Vector2)

Initializes a new instance of the Matrix3x2 struct.

Declaration
public Matrix3x2(Vector2 row0, Vector2 row1, Vector2 row2)
Parameters
Type Name Description
Vector2 row0

Top row of the matrix.

Vector2 row1

Second row of the matrix.

Vector2 row2

Bottom row of the matrix.

Matrix3x2(float, float, float, float, float, float)

Initializes a new instance of the Matrix3x2 struct.

Declaration
public Matrix3x2(float m00, float m01, float m10, float m11, float m20, float m21)
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 m10

First item of the second row of the matrix.

float m11

Second 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.

Fields

Row0

Top row of the matrix.

Declaration
public Vector2 Row0
Field Value
Type Description
Vector2

Row1

Second row of the matrix.

Declaration
public Vector2 Row1
Field Value
Type Description
Vector2

Row2

Bottom row of the matrix.

Declaration
public Vector2 Row2
Field Value
Type Description
Vector2

Zero

The zero matrix.

Declaration
public static readonly Matrix3x2 Zero
Field Value
Type Description
Matrix3x2

Properties

Column0

Gets or sets the first column of this matrix.

Declaration
public Vector3 Column0 { readonly get; set; }
Property Value
Type Description
Vector3

Column1

Gets or sets the second column of this matrix.

Declaration
public Vector3 Column1 { readonly get; set; }
Property Value
Type Description
Vector3

Diagonal

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

Declaration
public Vector2 Diagonal { readonly get; set; }
Property Value
Type Description
Vector2

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

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

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

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(Matrix3x2, Matrix3x2)

Adds two instances.

Declaration
[Pure]
public static Matrix3x2 Add(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the addition.

Matrix3x2 right

The right operand of the addition.

Returns
Type Description
Matrix3x2

A new instance that is the result of the addition.

Add(in Matrix3x2, in Matrix3x2, out Matrix3x2)

Adds two instances.

Declaration
public static void Add(in Matrix3x2 left, in Matrix3x2 right, out Matrix3x2 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the addition.

Matrix3x2 right

The right operand of the addition.

Matrix3x2 result

A new instance that is the result of the addition.

CreateRotation(float)

Builds a rotation matrix.

Declaration
[Pure]
public static Matrix3x2 CreateRotation(float angle)
Parameters
Type Name Description
float angle

The counter-clockwise angle in radians.

Returns
Type Description
Matrix3x2

The resulting Matrix3x2 instance.

CreateRotation(float, out Matrix3x2)

Builds a rotation matrix.

Declaration
public static void CreateRotation(float angle, out Matrix3x2 result)
Parameters
Type Name Description
float angle

The counter-clockwise angle in radians.

Matrix3x2 result

The resulting Matrix3x2 instance.

CreateScale(Vector2)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3x2 CreateScale(Vector2 scale)
Parameters
Type Name Description
Vector2 scale

Scale factors for the x and y axes.

Returns
Type Description
Matrix3x2

A scale matrix.

CreateScale(Vector2, out Matrix3x2)

Creates a scale matrix.

Declaration
public static void CreateScale(Vector2 scale, out Matrix3x2 result)
Parameters
Type Name Description
Vector2 scale

Scale factors for the x and y axes.

Matrix3x2 result

A scale matrix.

CreateScale(float)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3x2 CreateScale(float scale)
Parameters
Type Name Description
float scale

Single scale factor for the x and y axes.

Returns
Type Description
Matrix3x2

A scale matrix.

CreateScale(float, out Matrix3x2)

Creates a scale matrix.

Declaration
public static void CreateScale(float scale, out Matrix3x2 result)
Parameters
Type Name Description
float scale

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

Matrix3x2 result

A scale matrix.

CreateScale(float, float)

Creates a scale matrix.

Declaration
[Pure]
public static Matrix3x2 CreateScale(float x, float y)
Parameters
Type Name Description
float x

Scale factor for the x axis.

float y

Scale factor for the y axis.

Returns
Type Description
Matrix3x2

A scale matrix.

CreateScale(float, float, out Matrix3x2)

Creates a scale matrix.

Declaration
public static void CreateScale(float x, float y, out Matrix3x2 result)
Parameters
Type Name Description
float x

Scale factor for the x axis.

float y

Scale factor for the y axis.

Matrix3x2 result

A scale matrix.

Equals(Matrix3x2)

Indicates whether the current matrix is equal to another matrix.

Declaration
[Pure]
public readonly bool Equals(Matrix3x2 other)
Parameters
Type Name Description
Matrix3x2 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(Matrix3x2, Matrix2)

Multiplies two instances.

Declaration
[Pure]
public static Matrix3x2 Mult(Matrix3x2 left, Matrix2 right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2 right

The right operand of the multiplication.

Returns
Type Description
Matrix3x2

A new instance that is the result of the multiplication.

Mult(Matrix3x2, Matrix2x3)

Multiplies two instances.

Declaration
[Pure]
public static Matrix3 Mult(Matrix3x2 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2x3 right

The right operand of the multiplication.

Returns
Type Description
Matrix3

A new instance that is the result of the multiplication.

Mult(Matrix3x2, Matrix2x4)

Multiplies two instances.

Declaration
[Pure]
public static Matrix3x4 Mult(Matrix3x2 left, Matrix2x4 right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2x4 right

The right operand of the multiplication.

Returns
Type Description
Matrix3x4

A new instance that is the result of the multiplication.

Mult(Matrix3x2, float)

Multiplies and instance by a scalar.

Declaration
[Pure]
public static Matrix3x2 Mult(Matrix3x2 left, float right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

float right

The right operand of the multiplication.

Returns
Type Description
Matrix3x2

A new instance that is the result of the multiplication.

Mult(in Matrix3x2, in Matrix2, out Matrix3x2)

Multiplies two instances.

Declaration
public static void Mult(in Matrix3x2 left, in Matrix2 right, out Matrix3x2 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2 right

The right operand of the multiplication.

Matrix3x2 result

A new instance that is the result of the multiplication.

Mult(in Matrix3x2, in Matrix2x3, out Matrix3)

Multiplies two instances.

Declaration
public static void Mult(in Matrix3x2 left, in Matrix2x3 right, out Matrix3 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2x3 right

The right operand of the multiplication.

Matrix3 result

A new instance that is the result of the multiplication.

Mult(in Matrix3x2, in Matrix2x4, out Matrix3x4)

Multiplies two instances.

Declaration
public static void Mult(in Matrix3x2 left, in Matrix2x4 right, out Matrix3x4 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

Matrix2x4 right

The right operand of the multiplication.

Matrix3x4 result

A new instance that is the result of the multiplication.

Mult(in Matrix3x2, float, out Matrix3x2)

Multiplies and instance by a scalar.

Declaration
public static void Mult(in Matrix3x2 left, float right, out Matrix3x2 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the multiplication.

float right

The right operand of the multiplication.

Matrix3x2 result

A new instance that is the result of the multiplication.

Subtract(Matrix3x2, Matrix3x2)

Subtracts two instances.

Declaration
[Pure]
public static Matrix3x2 Subtract(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the subtraction.

Matrix3x2 right

The right operand of the subtraction.

Returns
Type Description
Matrix3x2

A new instance that is the result of the subtraction.

Subtract(in Matrix3x2, in Matrix3x2, out Matrix3x2)

Subtracts two instances.

Declaration
public static void Subtract(in Matrix3x2 left, in Matrix3x2 right, out Matrix3x2 result)
Parameters
Type Name Description
Matrix3x2 left

The left operand of the subtraction.

Matrix3x2 right

The right operand of the subtraction.

Matrix3x2 result

A new instance that is the result of the subtraction.

Swizzle(Matrix3x2, int, int, int)

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

Declaration
public static Matrix3x2 Swizzle(Matrix3x2 mat, int rowForRow0, int rowForRow1, int rowForRow2)
Parameters
Type Name Description
Matrix3x2 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
Matrix3x2

The swizzled matrix.

Exceptions
Type Condition
IndexOutOfRangeException

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

Swizzle(in Matrix3x2, int, int, int, out Matrix3x2)

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

Declaration
public static void Swizzle(in Matrix3x2 mat, int rowForRow0, int rowForRow1, int rowForRow2, out Matrix3x2 result)
Parameters
Type Name Description
Matrix3x2 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.

Matrix3x2 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 Matrix3x2 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
Matrix3x2

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(Matrix3x2)

Calculate the transpose of the given matrix.

Declaration
[Pure]
public static Matrix2x3 Transpose(Matrix3x2 mat)
Parameters
Type Name Description
Matrix3x2 mat

The matrix to transpose.

Returns
Type Description
Matrix2x3

The transpose of the given matrix.

Transpose(in Matrix3x2, out Matrix2x3)

Calculate the transpose of the given matrix.

Declaration
public static void Transpose(in Matrix3x2 mat, out Matrix2x3 result)
Parameters
Type Name Description
Matrix3x2 mat

The matrix to transpose.

Matrix2x3 result

The transpose of the given matrix.

Transposed()

Returns a transposed copy of this instance.

Declaration
public readonly Matrix2x3 Transposed()
Returns
Type Description
Matrix2x3

The transposed copy.

Operators

operator +(Matrix3x2, Matrix3x2)

Matrix addition.

Declaration
[Pure]
public static Matrix3x2 operator +(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

Matrix3x2 right

right-hand operand.

Returns
Type Description
Matrix3x2

A new Matrix3x2 which holds the result of the addition.

operator ==(Matrix3x2, Matrix3x2)

Compares two instances for equality.

Declaration
[Pure]
public static bool operator ==(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

The first instance.

Matrix3x2 right

The second instance.

Returns
Type Description
bool

True, if left equals right; false otherwise.

operator !=(Matrix3x2, Matrix3x2)

Compares two instances for inequality.

Declaration
[Pure]
public static bool operator !=(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

The first instance.

Matrix3x2 right

The second instance.

Returns
Type Description
bool

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

operator *(Matrix3x2, Matrix2)

Matrix multiplication.

Declaration
[Pure]
public static Matrix3x2 operator *(Matrix3x2 left, Matrix2 right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

Matrix2 right

right-hand operand.

Returns
Type Description
Matrix3x2

A new Matrix3x2 which holds the result of the multiplication.

operator *(Matrix3x2, Matrix2x3)

Matrix multiplication.

Declaration
[Pure]
public static Matrix3 operator *(Matrix3x2 left, Matrix2x3 right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

Matrix2x3 right

right-hand operand.

Returns
Type Description
Matrix3

A new Matrix3 which holds the result of the multiplication.

operator *(Matrix3x2, Matrix2x4)

Matrix multiplication.

Declaration
[Pure]
public static Matrix3x4 operator *(Matrix3x2 left, Matrix2x4 right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

Matrix2x4 right

right-hand operand.

Returns
Type Description
Matrix3x4

A new Matrix3x4 which holds the result of the multiplication.

operator *(Matrix3x2, float)

Scalar multiplication.

Declaration
[Pure]
public static Matrix3x2 operator *(Matrix3x2 left, float right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

float right

right-hand operand.

Returns
Type Description
Matrix3x2

A new Matrix3x2 which holds the result of the multiplication.

operator *(float, Matrix3x2)

Scalar multiplication.

Declaration
[Pure]
public static Matrix3x2 operator *(float left, Matrix3x2 right)
Parameters
Type Name Description
float left

left-hand operand.

Matrix3x2 right

right-hand operand.

Returns
Type Description
Matrix3x2

A new Matrix3x2 which holds the result of the multiplication.

operator -(Matrix3x2, Matrix3x2)

Matrix subtraction.

Declaration
[Pure]
public static Matrix3x2 operator -(Matrix3x2 left, Matrix3x2 right)
Parameters
Type Name Description
Matrix3x2 left

left-hand operand.

Matrix3x2 right

right-hand operand.

Returns
Type Description
Matrix3x2

A new Matrix3x2 which holds the result of the subtraction.

Implements

IEquatable<T>
IFormattable
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