Struct double3x3

Represents a 3x3 Matrix

Implements

System.IEquatable<double3x3>

Inherited Members

System.Object.Equals(System.Object, System.Object)

System.Object.GetType()

System.Object.ReferenceEquals(System.Object, System.Object)

Namespace: Fusee.Math.Core

Assembly: Fusee.Math.Core.dll

Syntax

public struct double3x3 : IEquatable<double3x3>

Constructors

double3x3(double3, double3, double3)

Constructs a new instance.

Declaration

public double3x3(double3 row1, double3 row2, double3 row3)

Parameters

Type	Name	Description
double3	row1	Top row of the matrix
double3	row2	Second row of the matrix
double3	row3	Third row of the matrix

double3x3(double4x4)

Constructs a new instance.

Declaration

public double3x3(double4x4 mat4)

Parameters

Type	Name	Description
double4x4	mat4	The incoming double4x4.

double3x3(Double, Double, Double, Double, Double, Double, Double, Double, Double)

Constructs a new instance.

Declaration

public double3x3(double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33)

Parameters

Type	Name	Description
System.Double	m11	First item of the first row of the matrix.
System.Double	m12	Second item of the first row of the matrix.
System.Double	m13	Third item of the first row of the matrix.
System.Double	m21	First item of the second row of the matrix.
System.Double	m22	Second item of the second row of the matrix.
System.Double	m23	Third item of the second row of the matrix.
System.Double	m31	First item of the third row of the matrix.
System.Double	m32	Second item of the third row of the matrix.
System.Double	m33	Third item of the third row of the matrix.

Fields

Identity

The identity matrix

Declaration

public static readonly double3x3 Identity

Field Value

Type	Description
double3x3

Row1

Top row of the matrix

Declaration

public double3 Row1

Field Value

Type	Description
double3

Row2

2nd row of the matrix

Declaration

public double3 Row2

Field Value

Type	Description
double3

Row3

3rd row of the matrix

Declaration

public double3 Row3

Field Value

Type	Description
double3

Zero

The zero matrix

Declaration

public static readonly double3x3 Zero

Field Value

Type	Description
double3x3

Properties

Column1

The first column of this matrix

Declaration

public double3 Column1 { get; set; }

Property Value

Type	Description
double3

Column2

The second column of this matrix

Declaration

public double3 Column2 { get; set; }

Property Value

Type	Description
double3

Column3

The third column of this matrix

Declaration

public double3 Column3 { get; set; }

Property Value

Type	Description
double3

Determinant

The determinant of this matrix

Declaration

public readonly double Determinant { get; }

Property Value

Type	Description
System.Double

IsAffine

Indicates whether the current matrix represents an affine transformation.

Declaration

public readonly bool IsAffine { get; }

Property Value

Type	Description
System.Boolean	true if the current matrix represents an affine transformation; otherwise, false.

M11

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

Declaration

public double M11 { get; set; }

Property Value

Type	Description
System.Double

M12

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

Declaration

public double M12 { get; set; }

Property Value

Type	Description
System.Double

M13

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

Declaration

public double M13 { get; set; }

Property Value

Type	Description
System.Double

M21

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

Declaration

public double M21 { get; set; }

Property Value

Type	Description
System.Double

M22

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

Declaration

public double M22 { get; set; }

Property Value

Type	Description
System.Double

M23

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

Declaration

public double M23 { get; set; }

Property Value

Type	Description
System.Double

M31

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

Declaration

public double M31 { get; set; }

Property Value

Type	Description
System.Double

M32

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

Declaration

public double M32 { get; set; }

Property Value

Type	Description
System.Double

M33

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

Declaration

public double M33 { get; set; }

Property Value

Type	Description
System.Double

ParseConverter

Gets and sets the Converter object. Has the ability to convert a string to a double3x3.

Declaration

public static Converter<string, double3x3> ParseConverter { get; set; }

Property Value

Type	Description
Converter<System.String, double3x3>	The parse property.

Methods

Add(double3x3, double3x3)

Adds two instances.

Declaration

public static double3x3 Add(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	The left operand of the addition.
double3x3	right	The right operand of the addition.

Returns

Type	Description
double3x3	A new instance that is the result of the addition.

Equals(double3x3)

Indicates whether the current matrix is equal to another matrix.

Declaration

public bool Equals(double3x3 other)

Parameters

Type	Name	Description
double3x3	other	A matrix to compare with this matrix.

Returns

Type	Description
System.Boolean	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

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	The object to compare.

Returns

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

Overrides

System.ValueType.Equals(System.Object)

GetHashCode()

Returns the hashcode for this instance.

Declaration

public override int GetHashCode()

Returns

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

Overrides

System.ValueType.GetHashCode()

Mult(double3x3, double3x3)

Multiplies two instances.

Declaration

public static double3x3 Mult(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	The left operand of the multiplication.
double3x3	right	The right operand of the multiplication.

Returns

Type	Description
double3x3	A new instance that is the result of the multiplication

Parse(String, IFormatProvider)

Parses a string into a double3x3.

Declaration

public static double3x3 Parse(string source, IFormatProvider provider = null)

Parameters

Type	Name	Description
System.String	source
System.IFormatProvider	provider

Returns

Type	Description
double3x3

Subtract(double3x3, double3x3)

Subtracts the right instance from the left instance.

Declaration

public static double3x3 Subtract(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	The left operand of the subtraction.
double3x3	right	The right operand of the subtraction.

Returns

Type	Description
double3x3	A new instance that is the result of the subtraction.

ToArray()

Returns this matrix as an array

Declaration

public double[] ToArray()

Returns

Type	Description
System.Double[]

ToString()

Returns a System.String that represents the current double3x3.

Declaration

public override string ToString()

Returns

Type	Description
System.String	A string.

Overrides

System.ValueType.ToString()

ToString(IFormatProvider)

Returns a System.String that represents the current double3x3.

Declaration

public string ToString(IFormatProvider provider)

Parameters

Type	Name	Description
System.IFormatProvider	provider	Provides information about a specific culture.

Returns

Type	Description
System.String	A System.String that represents this instance.

Transform(double2, double3x3)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double2 Transform(double2 vector, double3x3 matrix)

Parameters

Type	Name	Description
double2	vector	A double2 instance.
double3x3	matrix	A double3x3 instance.

Returns

Type	Description
double2	A new double2 instance containing the result.

Transform(double3, double3x3)

Transforms a given vector by a matrix via vector*matrix (pre-multiplication of the vector).

Declaration

public static double3 Transform(double3 vector, double3x3 matrix)

Parameters

Type	Name	Description
double3	vector	A double3 instance.
double3x3	matrix	A double3x3 instance.

Returns

Type	Description
double3	A new double3 instance containing the result.

Transform(double3x3, double2)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double2 Transform(double3x3 matrix, double2 vector)

Parameters

Type	Name	Description
double3x3	matrix	A double3x3 instance.
double2	vector	A double2 instance.

Returns

Type	Description
double2	A new double2 instance containing the result.

Transform(double3x3, double3)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double3 Transform(double3x3 matrix, double3 vector)

Parameters

Type	Name	Description
double3x3	matrix	A double3x3 instance.
double3	vector	A double3 instance.

Returns

Type	Description
double3	A new double3 instance containing the result.

Transpose()

Returns the transposes of this instance.

Declaration

public double3x3 Transpose()

Returns

Type	Description
double3x3

Transpose(double3x3)

Calculate the transpose of the given matrix

Declaration

public static double3x3 Transpose(double3x3 mat)

Parameters

Type	Name	Description
double3x3	mat	The matrix to transpose

Returns

Type	Description
double3x3	The transpose of the given matrix

Operators

Addition(double3x3, double3x3)

Matrix addition

Declaration

public static double3x3 operator +(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	left-hand operand
double3x3	right	right-hand operand

Returns

Type	Description
double3x3	A new double3x3 which holds the result of the multiplication

Equality(double3x3, double3x3)

Compares two instances for equality.

Declaration

public static bool operator ==(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	The first instance.
double3x3	right	The second instance.

Returns

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

Inequality(double3x3, double3x3)

Compares two instances for inequality.

Declaration

public static bool operator !=(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	The first instance.
double3x3	right	The second instance.

Returns

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

Multiply(double2, double3x3)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double2 operator *(double2 vector, double3x3 matrix)

Parameters

Type	Name	Description
double2	vector	A double2 instance.
double3x3	matrix	A double3x3 instance.

Returns

Type	Description
double2	A new double2 instance containing the result.

Multiply(double3, double3x3)

Transforms a given vector by a matrix via vector*matrix (pre-multiplication of the vector).

Declaration

public static double3 operator *(double3 vector, double3x3 matrix)

Parameters

Type	Name	Description
double3	vector	A double3 instance.
double3x3	matrix	A double3x3 instance.

Returns

Type	Description
double3	A new double3 instance containing the result.

Multiply(double3x3, double2)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double2 operator *(double3x3 matrix, double2 vector)

Parameters

Type	Name	Description
double3x3	matrix	A double3x3 instance.
double2	vector	A double2 instance.

Returns

Type	Description
double2	A new double2 instance containing the result.

Multiply(double3x3, double3)

Transforms a given vector by a matrix via matrix*vector (post-multiplication of the vector).

Declaration

public static double3 operator *(double3x3 matrix, double3 vector)

Parameters

Type	Name	Description
double3x3	matrix	A double3x3 instance.
double3	vector	A double3 instance.

Returns

Type	Description
double3	A new double3 instance containing the result.

Multiply(double3x3, double3x3)

Matrix multiplication

Declaration

public static double3x3 operator *(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	left-hand operand
double3x3	right	right-hand operand

Returns

Type	Description
double3x3	A new Float3x3 which holds the result of the multiplication

Subtraction(double3x3, double3x3)

Matrix subtraction

Declaration

public static double3x3 operator -(double3x3 left, double3x3 right)

Parameters

Type	Name	Description
double3x3	left	left-hand operand
double3x3	right	right-hand operand

Returns

Type	Description
double3x3	A new double2x2 which holds the result of the multiplication

Implements

System.IEquatable<T>