Class: Matrix2D

3×3 affine 2D matrix in column-major order, stored as 6 numbers (a, b, c, d, tx, ty):

| a c tx | | b d ty | | 0 0 1 |

Convention matches Pixi / Canvas2D / WebGL2 column-major affine matrices so passing values across the boundary is one assignment per field. Operations mutate this and return this for chaining; use Clone()/static *Of variants when a fresh matrix is needed.

Apply order in Identity().Translate(t).Rotate(r).Scale(s) reads as "translate, then rotate, then scale" when expressed as M * v (standard math convention).

Constructors

Constructor

new Matrix2D(
   a?, 
   b?, 
   c?, 
   d?, 
   tx?, 
   ty?
): Matrix2D;

Parameters

Parameter	Type	Default value
a	number	1
b	number	0
c	number	0
d	number	1
tx	number	0
ty	number	0

Returns

Matrix2D

Properties

Property	Modifier	Type
a	public	number
b	public	number
c	public	number
d	public	number
tx	public	number
ty	public	number

Methods

ApplyToPoint()

ApplyToPoint(
   x, 
   y, 
   out
): void;

Apply this matrix to a point (x, y) and write the result into out.

Parameters

Parameter	Type
x	number
y	number
out	{ x: number; y: number; }
out.x	number
out.y	number

Returns

void

---

Clone()

Clone(): Matrix2D;

Returns

Matrix2D

---

Copy()

Copy(m): this;

Parameters

Parameter	Type
m	Matrix2D

Returns

this

---

FromTRS()

static FromTRS(
   tx, 
   ty, 
   rotation, 
   sx, 
   sy
): Matrix2D;

Build from translation/rotation/scale (TRS) — useful for composing a world transform.

Parameters

Parameter	Type
tx	number
ty	number
rotation	number
sx	number
sy	number

Returns

Matrix2D

---

Identity()

static Identity(): Matrix2D;

Returns

Matrix2D

---

Identity()

Identity(): this;

Returns

this

---

Invert()

Invert(): this;

Invert in place. Safe to call when the matrix is singular — leaves identity.

Returns

this

---

Multiply()

Multiply(m, out?): Matrix2D;

out = this * m. Pass this as out for in-place multiply.

Parameters

Parameter	Type
m	Matrix2D
out	Matrix2D

Returns

Matrix2D

---

Rotate()

Rotate(radians): this;

Right-multiply: this = this * (rotation matrix).

Parameters

Parameter	Type
radians	number

Returns

this

---

Scale()

Scale(sx, sy): this;

Right-multiply: this = this * (scale matrix).

Parameters

Parameter	Type
sx	number
sy	number

Returns

this

---

Set()

Set(
   a, 
   b, 
   c, 
   d, 
   tx, 
   ty
): this;

Parameters

Parameter	Type
a	number
b	number
c	number
d	number
tx	number
ty	number

Returns

this

---

Translate()

Translate(x, y): this;

Right-multiply: this = this * (translation matrix).

Parameters

Parameter	Type
x	number
y	number

Returns

this