Struct float3x3

Represents a 3x3 Matrix

Implements

System.IEquatable<float3x3>

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 float3x3 : IEquatable<float3x3>

Constructors

float3x3(float3, float3, float3)

Constructs a new instance.

Declaration

public float3x3(float3 row1, float3 row2, float3 row3)

Parameters

Type	Name	Description
float3	row1	Top row of the matrix
float3	row2	Second row of the matrix
float3	row3	Third row of the matrix

float3x3(float4x4)

Constructs a new instance.

Declaration

public float3x3(float4x4 mat4)

Parameters

Type	Name	Description
float4x4	mat4	The incoming float4x4.

float3x3(Single, Single, Single, Single, Single, Single, Single, Single, Single)

Constructs a new instance.

Declaration

public float3x3(float m11, float m12, float m13, float m21, float m22, float m23, float m31, float m32, float m33)

Parameters

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

Fields

Identity

The identity matrix

Declaration

public static readonly float3x3 Identity

Field Value

Type	Description
float3x3

Row1

Top row of the matrix

Declaration

public float3 Row1

Field Value

Type	Description
float3

Row2

2nd row of the matrix

Declaration

public float3 Row2

Field Value

Type	Description
float3

Row3

3rd row of the matrix

Declaration

public float3 Row3

Field Value

Type	Description
float3

Zero

The zero matrix

Declaration

public static readonly float3x3 Zero

Field Value

Type	Description
float3x3

Properties

Column1

The first column of this matrix

Declaration

public float3 Column1 { get; set; }

Property Value

Type	Description
float3

Column2

The second column of this matrix

Declaration

public float3 Column2 { get; set; }

Property Value

Type	Description
float3

Column3

The third column of this matrix

Declaration

public float3 Column3 { get; set; }

Property Value

Type	Description
float3

Determinant

The determinant of this matrix

Declaration

public readonly float Determinant { get; }

Property Value

Type	Description
System.Single

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 float M11 { get; set; }

Property Value

Type	Description
System.Single

M12

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

Declaration

public float M12 { get; set; }

Property Value

Type	Description
System.Single

M13

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

Declaration

public float M13 { get; set; }

Property Value

Type	Description
System.Single

M21

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

Declaration

public float M21 { get; set; }

Property Value

Type	Description
System.Single

M22

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

Declaration

public float M22 { get; set; }

Property Value

Type	Description
System.Single

M23

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

Declaration

public float M23 { get; set; }

Property Value

Type	Description
System.Single

M31

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

Declaration

public float M31 { get; set; }

Property Value

Type	Description
System.Single

M32

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

Declaration

public float M32 { get; set; }

Property Value

Type	Description
System.Single

M33

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

Declaration

public float M33 { get; set; }

Property Value

Type	Description
System.Single

ParseConverter

Gets and sets the Converter object. Has the ability to convert a string to a float3x3.

Declaration

public static Converter<string, float3x3> ParseConverter { get; set; }

Property Value

Type	Description
Converter<System.String, float3x3>	The parse property.

Methods

Add(float3x3, float3x3)

Adds two instances.

Declaration

public static float3x3 Add(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	The left operand of the addition.
float3x3	right	The right operand of the addition.

Returns

Type	Description
float3x3	A new instance that is the result of the addition.

Equals(float3x3)

Indicates whether the current matrix is equal to another matrix.

Declaration

public bool Equals(float3x3 other)

Parameters

Type	Name	Description
float3x3	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 tresult.

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(float3x3, float3x3)

Multiplies two instances.

Declaration

public static float3x3 Mult(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	The left operand of the multiplication.
float3x3	right	The right operand of the multiplication.

Returns

Type	Description
float3x3	A new instance that is the result of the multiplication

Parse(String, IFormatProvider)

Parses a string into a float3x3.

Declaration

public static float3x3 Parse(string source, IFormatProvider provider = null)

Parameters

Type	Name	Description
System.String	source
System.IFormatProvider	provider

Returns

Type	Description
float3x3

Subtract(float3x3, float3x3)

Subtracts the right instance from the left instance.

Declaration

public static float3x3 Subtract(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	The left operand of the subtraction.
float3x3	right	The right operand of the subtraction.

Returns

Type	Description
float3x3	A new instance that is the result of the subtraction.

ToArray()

Returns this matrix as an array

Declaration

public float[] ToArray()

Returns

Type	Description
System.Single[]

ToString()

Returns a System.String that represents the current float3x3.

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 float3x3.

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(float2, float3x3)

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

Declaration

public static float2 Transform(float2 vector, float3x3 matrix)

Parameters

Type	Name	Description
float2	vector	A float2 instance.
float3x3	matrix	A float3x3 instance.

Returns

Type	Description
float2	A new float2 instance containing the result.

Transform(float3, float3x3)

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

Declaration

public static float3 Transform(float3 vector, float3x3 matrix)

Parameters

Type	Name	Description
float3	vector	A float3 instance.
float3x3	matrix	A float3x3 instance.

Returns

Type	Description
float3	A new float3 instance containing the result.

Transform(float3x3, float2)

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

Declaration

public static float2 Transform(float3x3 matrix, float2 vector)

Parameters

Type	Name	Description
float3x3	matrix	A float3x3 instance.
float2	vector	A float2 instance.

Returns

Type	Description
float2	A new float2 instance containing the result.

Transform(float3x3, float3)

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

Declaration

public static float3 Transform(float3x3 matrix, float3 vector)

Parameters

Type	Name	Description
float3x3	matrix	A float3x3 instance.
float3	vector	A float3 instance.

Returns

Type	Description
float3	A new float3 instance containing the result.

Transpose()

Returns the transposes of this instance.

Declaration

public float3x3 Transpose()

Returns

Type	Description
float3x3

Transpose(float3x3)

Calculate the transpose of the given matrix

Declaration

public static float3x3 Transpose(float3x3 mat)

Parameters

Type	Name	Description
float3x3	mat	The matrix to transpose

Returns

Type	Description
float3x3	The transpose of the given matrix

Operators

Addition(float3x3, float3x3)

Matrix addition

Declaration

public static float3x3 operator +(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	left-hand operand
float3x3	right	right-hand operand

Returns

Type	Description
float3x3	A new float3x3 which holds the result of the multiplication

Equality(float3x3, float3x3)

Compares two instances for equality.

Declaration

public static bool operator ==(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	The first instance.
float3x3	right	The second instance.

Returns

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

Inequality(float3x3, float3x3)

Compares two instances for inequality.

Declaration

public static bool operator !=(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	The first instance.
float3x3	right	The second instance.

Returns

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

Multiply(float2, float3x3)

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

Declaration

public static float2 operator *(float2 vector, float3x3 matrix)

Parameters

Type	Name	Description
float2	vector	A float2 instance.
float3x3	matrix	A float3x3 instance.

Returns

Type	Description
float2	A new float2 instance containing the result.

Multiply(float3, float3x3)

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

Declaration

public static float3 operator *(float3 vector, float3x3 matrix)

Parameters

Type	Name	Description
float3	vector	A float3 instance.
float3x3	matrix	A float3x3 instance.

Returns

Type	Description
float3	A new float3 instance containing the result.

Multiply(float3x3, float2)

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

Declaration

public static float2 operator *(float3x3 matrix, float2 vector)

Parameters

Type	Name	Description
float3x3	matrix	A float3x3 instance.
float2	vector	A float2 instance.

Returns

Type	Description
float2	A new float2 instance containing the result.

Multiply(float3x3, float3)

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

Declaration

public static float3 operator *(float3x3 matrix, float3 vector)

Parameters

Type	Name	Description
float3x3	matrix	A float3x3 instance.
float3	vector	A float3 instance.

Returns

Type	Description
float3	A new float3 instance containing the result.

Multiply(float3x3, float3x3)

Matrix multiplication

Declaration

public static float3x3 operator *(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	left-hand operand
float3x3	right	right-hand operand

Returns

Type	Description
float3x3	A new Float3x3 which holds the result of the multiplication

Subtraction(float3x3, float3x3)

Matrix subtraction

Declaration

public static float3x3 operator -(float3x3 left, float3x3 right)

Parameters

Type	Name	Description
float3x3	left	left-hand operand
float3x3	right	right-hand operand

Returns

Type	Description
float3x3	A new float2x2 which holds the result of the multiplication

Implements

System.IEquatable<T>