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{"version":3,"file":"Matrix.mjs","sources":["../../../src/maths/matrix/Matrix.ts"],"sourcesContent":["/* eslint-disable @typescript-eslint/no-use-before-define */\nimport { PI_2 } from '../misc/const';\nimport { Point } from '../point/Point';\n\nimport type { PointData } from '../point/PointData';\n\n/**\n * The data structure that contains the position, scale, pivot, skew and rotation of an object.\n * This is used by the {@link Matrix} class to decompose the matrix into its components.\n * @category maths\n * @advanced\n */\nexport interface TransformableObject\n{\n /** The position of the object */\n position: PointData;\n /** The scale of the object */\n scale: PointData;\n /** The pivot of the object */\n pivot: PointData;\n /** The skew of the object */\n skew: PointData;\n /** The rotation of the object */\n rotation: number;\n}\n\n/**\n * A fast matrix for 2D transformations.\n * Represents a 3x3 transformation matrix:\n *\n * ```js\n * | a c tx |\n * | b d ty |\n * | 0 0 1 |\n * ```\n * @example\n * ```ts\n * // Create identity matrix\n * const matrix = new Matrix();\n *\n * // Create matrix with custom values\n * const transform = new Matrix(2, 0, 0, 2, 100, 100); // Scale 2x, translate 100,100\n *\n * // Transform a point\n * const point = { x: 10, y: 20 };\n * const transformed = transform.apply(point);\n *\n * // Chain transformations\n * matrix\n * .translate(100, 50)\n * .rotate(Math.PI / 4)\n * .scale(2, 2);\n * ```\n * @remarks\n * - Used for transform hierarchies\n * - Supports scale, rotation, position\n * - Can be concatenated with append/prepend\n * - Efficient for batched transformations\n * @category maths\n * @standard\n */\nexport class Matrix\n{\n /**\n * Scale on the x axis.\n * @default 1\n */\n public a: number;\n\n /**\n * Shear on the y axis.\n * @default 0\n */\n public b: number;\n\n /**\n * Shear on the x axis.\n * @default 0\n */\n public c: number;\n\n /**\n * Scale on the y axis.\n * @default 1\n */\n public d: number;\n\n /**\n * Translation on the x axis.\n * @default 0\n */\n public tx: number;\n\n /**\n * Translation on the y axis.\n * @default 0\n */\n public ty: number;\n\n /**\n * Array representation of the matrix.\n * Only populated when `toArray()` is called.\n * @default null\n * @see {@link Matrix.toArray} For filling this array\n */\n public array: Float32Array | null = null;\n\n /**\n * @param a - x scale\n * @param b - y skew\n * @param c - x skew\n * @param d - y scale\n * @param tx - x translation\n * @param ty - y translation\n */\n constructor(a = 1, b = 0, c = 0, d = 1, tx = 0, ty = 0)\n {\n this.a = a;\n this.b = b;\n this.c = c;\n this.d = d;\n this.tx = tx;\n this.ty = ty;\n }\n\n /**\n * Creates a Matrix object based on the given array.\n * Populates matrix components from a flat array in column-major order.\n *\n * > [!NOTE] Array mapping order:\n * > ```\n * > array[0] = a (x scale)\n * > array[1] = b (y skew)\n * > array[2] = tx (x translation)\n * > array[3] = c (x skew)\n * > array[4] = d (y scale)\n * > array[5] = ty (y translation)\n * > ```\n * @example\n * ```ts\n * // Create matrix from array\n * const matrix = new Matrix();\n * matrix.fromArray([\n * 2, 0, 100, // a, b, tx\n * 0, 2, 100 // c, d, ty\n * ]);\n *\n * // Create matrix from typed array\n * const float32Array = new Float32Array([\n * 1, 0, 0, // Scale x1, no skew\n * 0, 1, 0 // No skew, scale x1\n * ]);\n * matrix.fromArray(float32Array);\n * ```\n * @param array - The array to populate the matrix from\n * @see {@link Matrix.toArray} For converting matrix to array\n * @see {@link Matrix.set} For setting values directly\n */\n public fromArray(array: number[]): void\n {\n this.a = array[0];\n this.b = array[1];\n this.c = array[3];\n this.d = array[4];\n this.tx = array[2];\n this.ty = array[5];\n }\n\n /**\n * Sets the matrix properties directly.\n * All matrix components can be set in one call.\n * @example\n * ```ts\n * // Set to identity matrix\n * matrix.set(1, 0, 0, 1, 0, 0);\n *\n * // Set to scale matrix\n * matrix.set(2, 0, 0, 2, 0, 0); // Scale 2x\n *\n * // Set to translation matrix\n * matrix.set(1, 0, 0, 1, 100, 50); // Move 100,50\n * ```\n * @param a - Scale on x axis\n * @param b - Shear on y axis\n * @param c - Shear on x axis\n * @param d - Scale on y axis\n * @param tx - Translation on x axis\n * @param ty - Translation on y axis\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.identity} For resetting to identity\n * @see {@link Matrix.fromArray} For setting from array\n */\n public set(a: number, b: number, c: number, d: number, tx: number, ty: number): this\n {\n this.a = a;\n this.b = b;\n this.c = c;\n this.d = d;\n this.tx = tx;\n this.ty = ty;\n\n return this;\n }\n\n /**\n * Creates an array from the current Matrix object.\n *\n * > [!NOTE] The array format is:\n * > ```\n * > Non-transposed:\n * > [a, c, tx,\n * > b, d, ty,\n * > 0, 0, 1]\n * >\n * > Transposed:\n * > [a, b, 0,\n * > c, d, 0,\n * > tx,ty,1]\n * > ```\n * @example\n * ```ts\n * // Basic array conversion\n * const matrix = new Matrix(2, 0, 0, 2, 100, 100);\n * const array = matrix.toArray();\n *\n * // Using existing array\n * const float32Array = new Float32Array(9);\n * matrix.toArray(false, float32Array);\n *\n * // Get transposed array\n * const transposed = matrix.toArray(true);\n * ```\n * @param transpose - Whether to transpose the matrix\n * @param out - Optional Float32Array to store the result\n * @returns The array containing the matrix values\n * @see {@link Matrix.fromArray} For creating matrix from array\n * @see {@link Matrix.array} For cached array storage\n */\n public toArray(transpose?: boolean, out?: Float32Array): Float32Array\n {\n if (!this.array)\n {\n this.array = new Float32Array(9);\n }\n\n const array = out || this.array;\n\n if (transpose)\n {\n array[0] = this.a;\n array[1] = this.b;\n array[2] = 0;\n array[3] = this.c;\n array[4] = this.d;\n array[5] = 0;\n array[6] = this.tx;\n array[7] = this.ty;\n array[8] = 1;\n }\n else\n {\n array[0] = this.a;\n array[1] = this.c;\n array[2] = this.tx;\n array[3] = this.b;\n array[4] = this.d;\n array[5] = this.ty;\n array[6] = 0;\n array[7] = 0;\n array[8] = 1;\n }\n\n return array;\n }\n\n /**\n * Get a new position with the current transformation applied.\n *\n * Can be used to go from a child's coordinate space to the world coordinate space. (e.g. rendering)\n * @example\n * ```ts\n * // Basic point transformation\n * const matrix = new Matrix().translate(100, 50).rotate(Math.PI / 4);\n * const point = new Point(10, 20);\n * const transformed = matrix.apply(point);\n *\n * // Reuse existing point\n * const output = new Point();\n * matrix.apply(point, output);\n * ```\n * @param pos - The origin point to transform\n * @param newPos - Optional point to store the result\n * @returns The transformed point\n * @see {@link Matrix.applyInverse} For inverse transformation\n * @see {@link Point} For point operations\n */\n public apply(pos: PointData, newPos?: P): P\n {\n newPos = (newPos || new Point()) as P;\n\n const x = pos.x;\n const y = pos.y;\n\n newPos.x = (this.a * x) + (this.c * y) + this.tx;\n newPos.y = (this.b * x) + (this.d * y) + this.ty;\n\n return newPos;\n }\n\n /**\n * Get a new position with the inverse of the current transformation applied.\n *\n * Can be used to go from the world coordinate space to a child's coordinate space. (e.g. input)\n * @example\n * ```ts\n * // Basic inverse transformation\n * const matrix = new Matrix().translate(100, 50).rotate(Math.PI / 4);\n * const worldPoint = new Point(150, 100);\n * const localPoint = matrix.applyInverse(worldPoint);\n *\n * // Reuse existing point\n * const output = new Point();\n * matrix.applyInverse(worldPoint, output);\n *\n * // Convert mouse position to local space\n * const mousePoint = new Point(mouseX, mouseY);\n * const localMouse = matrix.applyInverse(mousePoint);\n * ```\n * @param pos - The origin point to inverse-transform\n * @param newPos - Optional point to store the result\n * @returns The inverse-transformed point\n * @see {@link Matrix.apply} For forward transformation\n * @see {@link Matrix.invert} For getting inverse matrix\n */\n public applyInverse(pos: PointData, newPos?: P): P\n {\n newPos = (newPos || new Point()) as P;\n\n const a = this.a;\n const b = this.b;\n const c = this.c;\n const d = this.d;\n const tx = this.tx;\n const ty = this.ty;\n\n const id = 1 / ((a * d) + (c * -b));\n\n const x = pos.x;\n const y = pos.y;\n\n newPos.x = (d * id * x) + (-c * id * y) + (((ty * c) - (tx * d)) * id);\n newPos.y = (a * id * y) + (-b * id * x) + (((-ty * a) + (tx * b)) * id);\n\n return newPos;\n }\n\n /**\n * Translates the matrix on the x and y axes.\n * Adds to the position values while preserving scale, rotation and skew.\n * @example\n * ```ts\n * // Basic translation\n * const matrix = new Matrix();\n * matrix.translate(100, 50); // Move right 100, down 50\n *\n * // Chain with other transformations\n * matrix\n * .scale(2, 2)\n * .translate(100, 0)\n * .rotate(Math.PI / 4);\n * ```\n * @param x - How much to translate on the x axis\n * @param y - How much to translate on the y axis\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.set} For setting position directly\n * @see {@link Matrix.setTransform} For complete transform setup\n */\n public translate(x: number, y: number): this\n {\n this.tx += x;\n this.ty += y;\n\n return this;\n }\n\n /**\n * Applies a scale transformation to the matrix.\n * Multiplies the scale values with existing matrix components.\n * @example\n * ```ts\n * // Basic scaling\n * const matrix = new Matrix();\n * matrix.scale(2, 3); // Scale 2x horizontally, 3x vertically\n *\n * // Chain with other transformations\n * matrix\n * .translate(100, 100)\n * .scale(2, 2) // Scales after translation\n * .rotate(Math.PI / 4);\n * ```\n * @param x - The amount to scale horizontally\n * @param y - The amount to scale vertically\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.setTransform} For setting scale directly\n * @see {@link Matrix.append} For combining transformations\n */\n public scale(x: number, y: number): this\n {\n this.a *= x;\n this.d *= y;\n this.c *= x;\n this.b *= y;\n this.tx *= x;\n this.ty *= y;\n\n return this;\n }\n\n /**\n * Applies a rotation transformation to the matrix.\n *\n * Rotates around the origin (0,0) by the given angle in radians.\n * @example\n * ```ts\n * // Basic rotation\n * const matrix = new Matrix();\n * matrix.rotate(Math.PI / 4); // Rotate 45 degrees\n *\n * // Chain with other transformations\n * matrix\n * .translate(100, 100) // Move to rotation center\n * .rotate(Math.PI) // Rotate 180 degrees\n * .scale(2, 2); // Scale after rotation\n *\n * // Common angles\n * matrix.rotate(Math.PI / 2); // 90 degrees\n * matrix.rotate(Math.PI); // 180 degrees\n * matrix.rotate(Math.PI * 2); // 360 degrees\n * ```\n * @remarks\n * - Rotates around origin point (0,0)\n * - Affects position if translation was set\n * - Uses counter-clockwise rotation\n * - Order of operations matters when chaining\n * @param angle - The angle in radians\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.setTransform} For setting rotation directly\n * @see {@link Matrix.append} For combining transformations\n */\n public rotate(angle: number): this\n {\n const cos = Math.cos(angle);\n const sin = Math.sin(angle);\n\n const a1 = this.a;\n const c1 = this.c;\n const tx1 = this.tx;\n\n this.a = (a1 * cos) - (this.b * sin);\n this.b = (a1 * sin) + (this.b * cos);\n this.c = (c1 * cos) - (this.d * sin);\n this.d = (c1 * sin) + (this.d * cos);\n this.tx = (tx1 * cos) - (this.ty * sin);\n this.ty = (tx1 * sin) + (this.ty * cos);\n\n return this;\n }\n\n /**\n * Appends the given Matrix to this Matrix.\n * Combines two matrices by multiplying them together: this = this * matrix\n * @example\n * ```ts\n * // Basic matrix combination\n * const matrix = new Matrix();\n * const other = new Matrix().translate(100, 0).rotate(Math.PI / 4);\n * matrix.append(other);\n * ```\n * @remarks\n * - Order matters: A.append(B) !== B.append(A)\n * - Modifies current matrix\n * - Preserves transformation order\n * - Commonly used for combining transforms\n * @param matrix - The matrix to append\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.prepend} For prepending transformations\n * @see {@link Matrix.appendFrom} For appending two external matrices\n */\n public append(matrix: Matrix): this\n {\n const a1 = this.a;\n const b1 = this.b;\n const c1 = this.c;\n const d1 = this.d;\n\n this.a = (matrix.a * a1) + (matrix.b * c1);\n this.b = (matrix.a * b1) + (matrix.b * d1);\n this.c = (matrix.c * a1) + (matrix.d * c1);\n this.d = (matrix.c * b1) + (matrix.d * d1);\n\n this.tx = (matrix.tx * a1) + (matrix.ty * c1) + this.tx;\n this.ty = (matrix.tx * b1) + (matrix.ty * d1) + this.ty;\n\n return this;\n }\n\n /**\n * Appends two matrices and sets the result to this matrix.\n * Performs matrix multiplication: this = A * B\n * @example\n * ```ts\n * // Basic matrix multiplication\n * const result = new Matrix();\n * const matrixA = new Matrix().scale(2, 2);\n * const matrixB = new Matrix().rotate(Math.PI / 4);\n * result.appendFrom(matrixA, matrixB);\n * ```\n * @remarks\n * - Order matters: A * B !== B * A\n * - Creates a new transformation from two others\n * - More efficient than append() for multiple operations\n * - Does not modify input matrices\n * @param a - The first matrix to multiply\n * @param b - The second matrix to multiply\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.append} For single matrix combination\n * @see {@link Matrix.prepend} For reverse order multiplication\n */\n public appendFrom(a: Matrix, b: Matrix): this\n {\n const a1 = a.a;\n const b1 = a.b;\n const c1 = a.c;\n const d1 = a.d;\n const tx = a.tx;\n const ty = a.ty;\n\n const a2 = b.a;\n const b2 = b.b;\n const c2 = b.c;\n const d2 = b.d;\n\n this.a = (a1 * a2) + (b1 * c2);\n this.b = (a1 * b2) + (b1 * d2);\n this.c = (c1 * a2) + (d1 * c2);\n this.d = (c1 * b2) + (d1 * d2);\n this.tx = (tx * a2) + (ty * c2) + b.tx;\n this.ty = (tx * b2) + (ty * d2) + b.ty;\n\n return this;\n }\n\n /**\n * Sets the matrix based on all the available properties.\n * Combines position, scale, rotation, skew and pivot in a single operation.\n * @example\n * ```ts\n * // Basic transform setup\n * const matrix = new Matrix();\n * matrix.setTransform(\n * 100, 100, // position\n * 0, 0, // pivot\n * 2, 2, // scale\n * Math.PI / 4, // rotation (45 degrees)\n * 0, 0 // skew\n * );\n * ```\n * @remarks\n * - Updates all matrix components at once\n * - More efficient than separate transform calls\n * - Uses radians for rotation and skew\n * - Pivot affects rotation center\n * @param x - Position on the x axis\n * @param y - Position on the y axis\n * @param pivotX - Pivot on the x axis\n * @param pivotY - Pivot on the y axis\n * @param scaleX - Scale on the x axis\n * @param scaleY - Scale on the y axis\n * @param rotation - Rotation in radians\n * @param skewX - Skew on the x axis\n * @param skewY - Skew on the y axis\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.decompose} For extracting transform properties\n * @see {@link TransformableObject} For transform data structure\n */\n public setTransform(x: number, y: number, pivotX: number, pivotY: number, scaleX: number,\n scaleY: number, rotation: number, skewX: number, skewY: number): this\n {\n this.a = Math.cos(rotation + skewY) * scaleX;\n this.b = Math.sin(rotation + skewY) * scaleX;\n this.c = -Math.sin(rotation - skewX) * scaleY;\n this.d = Math.cos(rotation - skewX) * scaleY;\n\n this.tx = x - ((pivotX * this.a) + (pivotY * this.c));\n this.ty = y - ((pivotX * this.b) + (pivotY * this.d));\n\n return this;\n }\n\n /**\n * Prepends the given Matrix to this Matrix.\n * Combines two matrices by multiplying them together: this = matrix * this\n * @example\n * ```ts\n * // Basic matrix prepend\n * const matrix = new Matrix().scale(2, 2);\n * const other = new Matrix().translate(100, 0);\n * matrix.prepend(other); // Translation happens before scaling\n * ```\n * @remarks\n * - Order matters: A.prepend(B) !== B.prepend(A)\n * - Modifies current matrix\n * - Reverses transformation order compared to append()\n * @param matrix - The matrix to prepend\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.append} For appending transformations\n * @see {@link Matrix.appendFrom} For combining external matrices\n */\n public prepend(matrix: Matrix): this\n {\n const tx1 = this.tx;\n\n if (matrix.a !== 1 || matrix.b !== 0 || matrix.c !== 0 || matrix.d !== 1)\n {\n const a1 = this.a;\n const c1 = this.c;\n\n this.a = (a1 * matrix.a) + (this.b * matrix.c);\n this.b = (a1 * matrix.b) + (this.b * matrix.d);\n this.c = (c1 * matrix.a) + (this.d * matrix.c);\n this.d = (c1 * matrix.b) + (this.d * matrix.d);\n }\n\n this.tx = (tx1 * matrix.a) + (this.ty * matrix.c) + matrix.tx;\n this.ty = (tx1 * matrix.b) + (this.ty * matrix.d) + matrix.ty;\n\n return this;\n }\n\n /**\n * Decomposes the matrix into its individual transform components.\n * Extracts position, scale, rotation and skew values from the matrix.\n * @example\n * ```ts\n * // Basic decomposition\n * const matrix = new Matrix()\n * .translate(100, 100)\n * .rotate(Math.PI / 4)\n * .scale(2, 2);\n *\n * const transform = {\n * position: new Point(),\n * scale: new Point(),\n * pivot: new Point(),\n * skew: new Point(),\n * rotation: 0\n * };\n *\n * matrix.decompose(transform);\n * console.log(transform.position); // Point(100, 100)\n * console.log(transform.rotation); // ~0.785 (PI/4)\n * console.log(transform.scale); // Point(2, 2)\n * ```\n * @remarks\n * - Handles combined transformations\n * - Accounts for pivot points\n * - Chooses between rotation/skew based on transform type\n * - Uses radians for rotation and skew\n * @param transform - The transform object to store the decomposed values\n * @returns The transform with the newly applied properties\n * @see {@link Matrix.setTransform} For composing from components\n * @see {@link TransformableObject} For transform structure\n */\n public decompose(transform: TransformableObject): TransformableObject\n {\n // sort out rotation / skew..\n const a = this.a;\n const b = this.b;\n const c = this.c;\n const d = this.d;\n const pivot = transform.pivot;\n\n const skewX = -Math.atan2(-c, d);\n const skewY = Math.atan2(b, a);\n\n const delta = Math.abs(skewX + skewY);\n\n if (delta < 0.00001 || Math.abs(PI_2 - delta) < 0.00001)\n {\n transform.rotation = skewY;\n transform.skew.x = transform.skew.y = 0;\n }\n else\n {\n transform.rotation = 0;\n transform.skew.x = skewX;\n transform.skew.y = skewY;\n }\n\n // next set scale\n transform.scale.x = Math.sqrt((a * a) + (b * b));\n transform.scale.y = Math.sqrt((c * c) + (d * d));\n\n // next set position\n transform.position.x = this.tx + ((pivot.x * a) + (pivot.y * c));\n transform.position.y = this.ty + ((pivot.x * b) + (pivot.y * d));\n\n return transform;\n }\n\n /**\n * Inverts this matrix.\n * Creates the matrix that when multiplied with this matrix results in an identity matrix.\n * @example\n * ```ts\n * // Basic matrix inversion\n * const matrix = new Matrix()\n * .translate(100, 50)\n * .scale(2, 2);\n *\n * matrix.invert(); // Now transforms in opposite direction\n *\n * // Verify inversion\n * const point = new Point(50, 50);\n * const transformed = matrix.apply(point);\n * const original = matrix.invert().apply(transformed);\n * // original ≈ point\n * ```\n * @remarks\n * - Modifies the current matrix\n * - Useful for reversing transformations\n * - Cannot invert matrices with zero determinant\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.identity} For resetting to identity\n * @see {@link Matrix.applyInverse} For inverse transformations\n */\n public invert(): this\n {\n const a1 = this.a;\n const b1 = this.b;\n const c1 = this.c;\n const d1 = this.d;\n const tx1 = this.tx;\n const n = (a1 * d1) - (b1 * c1);\n\n this.a = d1 / n;\n this.b = -b1 / n;\n this.c = -c1 / n;\n this.d = a1 / n;\n this.tx = ((c1 * this.ty) - (d1 * tx1)) / n;\n this.ty = -((a1 * this.ty) - (b1 * tx1)) / n;\n\n return this;\n }\n\n /**\n * Checks if this matrix is an identity matrix.\n *\n * An identity matrix has no transformations applied (default state).\n * @example\n * ```ts\n * // Check if matrix is identity\n * const matrix = new Matrix();\n * console.log(matrix.isIdentity()); // true\n *\n * // Check after transformations\n * matrix.translate(100, 0);\n * console.log(matrix.isIdentity()); // false\n *\n * // Reset and verify\n * matrix.identity();\n * console.log(matrix.isIdentity()); // true\n * ```\n * @remarks\n * - Verifies a = 1, d = 1 (no scale)\n * - Verifies b = 0, c = 0 (no skew)\n * - Verifies tx = 0, ty = 0 (no translation)\n * @returns True if matrix has no transformations\n * @see {@link Matrix.identity} For resetting to identity\n * @see {@link Matrix.IDENTITY} For constant identity matrix\n */\n public isIdentity(): boolean\n {\n return this.a === 1 && this.b === 0 && this.c === 0 && this.d === 1 && this.tx === 0 && this.ty === 0;\n }\n\n /**\n * Resets this Matrix to an identity (default) matrix.\n * Sets all components to their default values: scale=1, no skew, no translation.\n * @example\n * ```ts\n * // Reset transformed matrix\n * const matrix = new Matrix()\n * .scale(2, 2)\n * .rotate(Math.PI / 4);\n * matrix.identity(); // Back to default state\n *\n * // Chain after reset\n * matrix\n * .identity()\n * .translate(100, 100)\n * .scale(2, 2);\n *\n * // Compare with identity constant\n * const isDefault = matrix.equals(Matrix.IDENTITY);\n * ```\n * @remarks\n * - Sets a=1, d=1 (default scale)\n * - Sets b=0, c=0 (no skew)\n * - Sets tx=0, ty=0 (no translation)\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.IDENTITY} For constant identity matrix\n * @see {@link Matrix.isIdentity} For checking identity state\n */\n public identity(): this\n {\n this.a = 1;\n this.b = 0;\n this.c = 0;\n this.d = 1;\n this.tx = 0;\n this.ty = 0;\n\n return this;\n }\n\n /**\n * Creates a new Matrix object with the same values as this one.\n * @returns A copy of this matrix. Good for chaining method calls.\n */\n public clone(): Matrix\n {\n const matrix = new Matrix();\n\n matrix.a = this.a;\n matrix.b = this.b;\n matrix.c = this.c;\n matrix.d = this.d;\n matrix.tx = this.tx;\n matrix.ty = this.ty;\n\n return matrix;\n }\n\n /**\n * Creates a new Matrix object with the same values as this one.\n * @param matrix\n * @example\n * ```ts\n * // Basic matrix cloning\n * const matrix = new Matrix()\n * .translate(100, 100)\n * .rotate(Math.PI / 4);\n * const copy = matrix.clone();\n *\n * // Clone and modify\n * const modified = matrix.clone()\n * .scale(2, 2);\n *\n * // Compare matrices\n * console.log(matrix.equals(copy)); // true\n * console.log(matrix.equals(modified)); // false\n * ```\n * @returns A copy of this matrix. Good for chaining method calls.\n * @see {@link Matrix.copyTo} For copying to existing matrix\n * @see {@link Matrix.copyFrom} For copying from another matrix\n */\n public copyTo(matrix: Matrix): Matrix\n {\n matrix.a = this.a;\n matrix.b = this.b;\n matrix.c = this.c;\n matrix.d = this.d;\n matrix.tx = this.tx;\n matrix.ty = this.ty;\n\n return matrix;\n }\n\n /**\n * Changes the values of the matrix to be the same as the ones in given matrix.\n * @example\n * ```ts\n * // Basic matrix copying\n * const source = new Matrix()\n * .translate(100, 100)\n * .rotate(Math.PI / 4);\n * const target = new Matrix();\n * target.copyFrom(source);\n * ```\n * @param matrix - The matrix to copy from\n * @returns This matrix. Good for chaining method calls.\n * @see {@link Matrix.clone} For creating new matrix copy\n * @see {@link Matrix.copyTo} For copying to another matrix\n */\n public copyFrom(matrix: Matrix): this\n {\n this.a = matrix.a;\n this.b = matrix.b;\n this.c = matrix.c;\n this.d = matrix.d;\n this.tx = matrix.tx;\n this.ty = matrix.ty;\n\n return this;\n }\n\n /**\n * Checks if this matrix equals another matrix.\n * Compares all components for exact equality.\n * @example\n * ```ts\n * // Basic equality check\n * const m1 = new Matrix();\n * const m2 = new Matrix();\n * console.log(m1.equals(m2)); // true\n *\n * // Compare transformed matrices\n * const transform = new Matrix()\n * .translate(100, 100)\n * const clone = new Matrix()\n * .scale(2, 2);\n * console.log(transform.equals(clone)); // false\n * ```\n * @param matrix - The matrix to compare to\n * @returns True if matrices are identical\n * @see {@link Matrix.copyFrom} For copying matrix values\n * @see {@link Matrix.isIdentity} For identity comparison\n */\n public equals(matrix: Matrix)\n {\n return matrix.a === this.a && matrix.b === this.b\n && matrix.c === this.c && matrix.d === this.d\n && matrix.tx === this.tx && matrix.ty === this.ty;\n }\n\n // #if _DEBUG\n public toString(): string\n {\n return `[pixi.js:Matrix a=${this.a} b=${this.b} c=${this.c} d=${this.d} tx=${this.tx} ty=${this.ty}]`;\n }\n // #endif\n\n /**\n * A default (identity) matrix with no transformations applied.\n *\n * > [!IMPORTANT] This is a shared read-only object. Create a new Matrix if you need to modify it.\n * @example\n * ```ts\n * // Get identity matrix reference\n * const identity = Matrix.IDENTITY;\n * console.log(identity.isIdentity()); // true\n *\n * // Compare with identity\n * const matrix = new Matrix();\n * console.log(matrix.equals(Matrix.IDENTITY)); // true\n *\n * // Create new matrix instead of modifying IDENTITY\n * const transform = new Matrix()\n * .copyFrom(Matrix.IDENTITY)\n * .translate(100, 100);\n * ```\n * @readonly\n * @returns A read-only identity matrix\n * @see {@link Matrix.shared} For temporary calculations\n * @see {@link Matrix.identity} For resetting matrices\n */\n static get IDENTITY(): Readonly<Matrix>\n {\n return identityMatrix.identity();\n }\n\n /**\n * A static Matrix that can be used to avoid creating new objects.\n * Will always ensure the matrix is reset to identity when requested.\n *\n * > [!IMPORTANT] This matrix is shared and temporary. Do not store references to it.\n * @example\n * ```ts\n * // Use for temporary calculations\n * const tempMatrix = Matrix.shared;\n * tempMatrix.translate(100, 100).rotate(Math.PI / 4);\n * const point = tempMatrix.apply({ x: 10, y: 20 });\n *\n * // Will be reset to identity on next access\n * const fresh = Matrix.shared; // Back to identity\n * ```\n * @remarks\n * - Always returns identity matrix\n * - Safe to modify temporarily\n * - Not safe to store references\n * - Useful for one-off calculations\n * @readonly\n * @returns A fresh identity matrix for temporary use\n * @see {@link Matrix.IDENTITY} For immutable identity matrix\n * @see {@link Matrix.identity} For resetting matrices\n */\n static get shared(): Matrix\n {\n return tempMatrix.identity();\n }\n}\n\nconst tempMatrix = new Matrix();\nconst identityMatrix = new 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