Class IdentityMatrix33

A 3x3 identity matrix implementation that represents the multiplicative identity for 3x3 matrices. This matrix has 1s on the main diagonal and 0s elsewhere:

[1 0 0]
[0 1 0]
[0 0 1]

This class is optimized for identity matrix operations and provides constant-time access to matrix elements without storing the actual matrix data.

Hierarchy (view full)

AbstractMatrix
- IdentityMatrix33

Implements

Index

Constructors

constructor

new IdentityMatrix33(): IdentityMatrix33
Creates a new 3x3 identity matrix instance. Uses a shared static array for memory efficiency.

Returns IdentityMatrix33
Overrides AbstractMatrix.constructor
- Defined in foundation/math/IdentityMatrix33.ts:30

Properties

_v

_v: Float32Array = ...

Internal Float32Array storage for matrix elements

`Static` `Readonly`__v

__v: Float32Array = ...

Shared Float32Array containing the identity matrix values [1,0,0,0,1,0,0,0,1]

Accessors

className

get className(): string
Gets the class name for debugging and reflection purposes

Returns string
Implementation of IMatrix33.className
Overrides AbstractMatrix.className
- Defined in foundation/math/IdentityMatrix33.ts:298

isIdentityMatrixClass

get isIdentityMatrixClass(): boolean
Indicates that this is an identity matrix class implementation

Returns boolean
Implementation of IMatrix33.isIdentityMatrixClass
Overrides AbstractMatrix.isIdentityMatrixClass
- Defined in foundation/math/IdentityMatrix33.ts:308

m00

get m00(): number
Gets the matrix element at row 0, column 0

Returns number
Implementation of IMatrix33.m00
- Defined in foundation/math/IdentityMatrix33.ts:218

m01

get m01(): number
Gets the matrix element at row 0, column 1

Returns number
Implementation of IMatrix33.m01
- Defined in foundation/math/IdentityMatrix33.ts:238

m02

get m02(): number
Gets the matrix element at row 0, column 2

Returns number
Implementation of IMatrix33.m02
- Defined in foundation/math/IdentityMatrix33.ts:258

m03

get m03(): number
Gets the matrix element at row 0, column 3 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:278

m10

get m10(): number
Gets the matrix element at row 1, column 0

Returns number
Implementation of IMatrix33.m10
- Defined in foundation/math/IdentityMatrix33.ts:223

m11

get m11(): number
Gets the matrix element at row 1, column 1

Returns number
Implementation of IMatrix33.m11
- Defined in foundation/math/IdentityMatrix33.ts:243

m12

get m12(): number
Gets the matrix element at row 1, column 2

Returns number
Implementation of IMatrix33.m12
- Defined in foundation/math/IdentityMatrix33.ts:263

m13

get m13(): number
Gets the matrix element at row 1, column 3 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:283

m20

get m20(): number
Gets the matrix element at row 2, column 0

Returns number
Implementation of IMatrix33.m20
- Defined in foundation/math/IdentityMatrix33.ts:228

m21

get m21(): number
Gets the matrix element at row 2, column 1

Returns number
Implementation of IMatrix33.m21
- Defined in foundation/math/IdentityMatrix33.ts:248

m22

get m22(): number
Gets the matrix element at row 1, column 2

Returns number
Implementation of IMatrix33.m22
- Defined in foundation/math/IdentityMatrix33.ts:268

m23

get m23(): number
Gets the matrix element at row 2, column 3 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:288

m30

get m30(): number
Gets the matrix element at row 3, column 0 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:233

m31

get m31(): number
Gets the matrix element at row 3, column 1 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:253

m32

get m32(): number
Gets the matrix element at row 3, column 2 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:273

m33

get m33(): number
Gets the matrix element at row 3, column 3 (not applicable for 3x3 matrix)

Returns number
- Defined in foundation/math/IdentityMatrix33.ts:293

`Static`compositionType

get compositionType(): CompositionTypeClass<"MAT3">
Gets the composition type for this matrix class

Returns CompositionTypeClass<"MAT3">
- Defined in foundation/math/IdentityMatrix33.ts:303

Methods

at

at(row_i, column_i): number
Gets the matrix element at the specified row and column. For identity matrix: returns 1 if row equals column, 0 otherwise.
Parameters
- row_i: number
  The row index (0-2)
- column_i: number
  The column index (0-2)
Returns number
The matrix element value
Implementation of IMatrix33.at
Overrides AbstractMatrix.at
- Defined in foundation/math/IdentityMatrix33.ts:135

clone

clone(): IMatrix33
Creates a copy of this identity matrix.

Returns IMatrix33
A new IdentityMatrix33 instance
Implementation of IMatrix33.clone
- Defined in foundation/math/IdentityMatrix33.ts:204

determinant

determinant(): number
Calculates the determinant of the identity matrix. The determinant of any identity matrix is always 1.

Returns number
Always returns 1
Implementation of IMatrix33.determinant
Overrides AbstractMatrix.determinant
- Defined in foundation/math/IdentityMatrix33.ts:144

flattenAsArray

flattenAsArray(): number[]
Returns the matrix elements as a flattened array in row-major order.

Returns number[]
An array containing [1,0,0,0,1,0,0,0,1]
Implementation of IMatrix33.flattenAsArray
Overrides AbstractMatrix.flattenAsArray
- Defined in foundation/math/IdentityMatrix33.ts:59

getRotate

getRotate(): IMatrix33
Extracts the rotation part of this matrix. For identity matrix, the rotation is also identity (no rotation).

Returns IMatrix33
A new IdentityMatrix33 instance representing no rotation
- Defined in foundation/math/IdentityMatrix33.ts:213

getScale

getScale(): IVector
Gets the scale components from this matrix. For identity matrix, all scale components are 1.

Returns IVector
A Vector3 with components [1, 1, 1]
- Defined in foundation/math/IdentityMatrix33.ts:180

getScaleTo

getScaleTo(outVec): IMutableVector
Gets the scale components from this matrix and stores them in an output vector. For identity matrix, all scale components are 1.
Parameters
- outVec: IMutableVector
  The output vector to store the scale values
Returns IMutableVector
The output vector containing [1, 1, 1]
- Defined in foundation/math/IdentityMatrix33.ts:190

isDummy

isDummy(): boolean
Indicates whether this matrix is a dummy/placeholder matrix. Identity matrices are never considered dummy matrices.

Returns boolean
Always false for identity matrices
Implementation of IMatrix33.isDummy
Overrides AbstractMatrix.isDummy
- Defined in foundation/math/IdentityMatrix33.ts:68

isEqual

isEqual(mat, delta?): boolean
Checks if another matrix is approximately equal to this identity matrix within a tolerance.
Parameters
- mat: IMatrix33
  The matrix to compare against
- delta: number = Number.EPSILON
  The tolerance for floating-point comparison (default: Number.EPSILON)
Returns boolean
True if the matrix is approximately an identity matrix
Implementation of IMatrix33.isEqual
- Defined in foundation/math/IdentityMatrix33.ts:78

isStrictEqual

isStrictEqual(mat): boolean
Checks if another matrix is strictly equal to this identity matrix (exact comparison). Note: This method appears to have a bug - it checks 16 elements instead of 9 for a 3x3 matrix.
Parameters
- mat: IMatrix33
  The matrix to compare against
Returns boolean
True if the matrix is exactly an identity matrix
Implementation of IMatrix33.isStrictEqual
- Defined in foundation/math/IdentityMatrix33.ts:102

isTheSourceSame

isTheSourceSame(arrayBuffer): boolean
Checks if the matrix's internal storage shares the same ArrayBuffer as the provided one.

This method is useful for determining if two matrices share the same underlying memory, which can be important for performance optimizations and avoiding unnecessary data copying.
Parameters
- arrayBuffer: ArrayBuffer
  The ArrayBuffer to compare against
Returns boolean
True if the internal storage uses the same ArrayBuffer, false otherwise
Implementation of IMatrix33.isTheSourceSame
Inherited from AbstractMatrix.isTheSourceSame
- Defined in foundation/math/AbstractMatrix.ts:131

multiplyVector

multiplyVector(vec): IVector
Multiplies this identity matrix with a vector. Since this is an identity matrix, the result is the original vector unchanged.
Parameters
- vec: IVector
  The vector to multiply
Returns IVector
The same vector (identity operation)
- Defined in foundation/math/IdentityMatrix33.ts:154

multiplyVectorTo

multiplyVectorTo(vec, outVec): IMutableVector
Multiplies this identity matrix with a vector and stores the result in an output vector. Since this is an identity matrix, this copies the input vector to the output vector.
Parameters
- vec: IVector
  The input vector to multiply
- outVec: IMutableVector
  The output vector to store the result
Returns IMutableVector
The output vector containing the result
- Defined in foundation/math/IdentityMatrix33.ts:165

toString

toString(): string
Returns a string representation of the identity matrix in a readable format.

Returns string
A formatted string showing the 3x3 identity matrix
Implementation of IMatrix33.toString
Overrides AbstractMatrix.toString
- Defined in foundation/math/IdentityMatrix33.ts:39

toStringApproximately

toStringApproximately(): string
Returns an approximate string representation of the matrix. For identity matrix, this is identical to toString() since all values are exact.

Returns string
A formatted string showing the 3x3 identity matrix
Implementation of IMatrix33.toStringApproximately
Overrides AbstractMatrix.toStringApproximately
- Defined in foundation/math/IdentityMatrix33.ts:51

v

v(i): number
Gets the matrix element at the specified flat index.

This provides direct access to the underlying Float32Array storage using a single index rather than row/column coordinates.
Parameters
- i: number
  The zero-based flat index into the matrix storage
Returns number
The matrix element value at the specified index
Implementation of IMatrix33.v
Inherited from AbstractMatrix.v
- Defined in foundation/math/AbstractMatrix.ts:86

Class IdentityMatrix33

Hierarchy (view full)

Implements

Index

Constructors

Properties

Accessors

Methods

Constructors

constructor

Returns IdentityMatrix33

Properties

_v

Static Readonly__v

Accessors

className

Returns string

isIdentityMatrixClass

Returns boolean

m00

Returns number

m01

Returns number

m02

Returns number

m03

Returns number

m10

Returns number

m11

Returns number

m12

Returns number

m13

Returns number

m20

Returns number

m21

Returns number

m22

Returns number

m23

Returns number

m30

Returns number

m31

Returns number

m32

Returns number

m33

Returns number

StaticcompositionType

Returns CompositionTypeClass<"MAT3">

Methods

at

Parameters

Returns number

clone

Returns IMatrix33

determinant

Returns number

flattenAsArray

Returns number[]

getRotate

Returns IMatrix33

getScale

Returns IVector

getScaleTo

Parameters

Returns IMutableVector

isDummy

Returns boolean

isEqual

Parameters

Returns boolean

isStrictEqual

Parameters

Returns boolean

isTheSourceSame

Parameters

`Static` `Readonly`__v

`Static`compositionType