{"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\ninterface TransformableObject\n{\n    position: PointData;\n    scale: PointData;\n    pivot: PointData;\n    skew: PointData;\n    rotation: number;\n}\n\n/**\n * A fast matrix for 2D transformations.\n * ```js\n * | a | c | tx|\n * | b | d | ty|\n * | 0 | 0 | 1 |\n * ```\n * @memberof maths\n */\nexport class Matrix\n{\n    /** @default 1 */\n    public a: number;\n\n    /** @default 0 */\n    public b: number;\n\n    /** @default 0 */\n    public c: number;\n\n    /** @default 1 */\n    public d: number;\n\n    /** @default 0 */\n    public tx: number;\n\n    /** @default 0 */\n    public ty: number;\n\n    /** An array of the current matrix. Only populated when `toArray` is called */\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. The Element to Matrix mapping order is as follows:\n     *\n     * a = array[0]\n     * b = array[1]\n     * c = array[3]\n     * d = array[4]\n     * tx = array[2]\n     * ty = array[5]\n     * @param array - The array that the matrix will be populated from.\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.\n     * @param a - Matrix component\n     * @param b - Matrix component\n     * @param c - Matrix component\n     * @param d - Matrix component\n     * @param tx - Matrix component\n     * @param ty - Matrix component\n     * @returns This matrix. Good for chaining method calls.\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     * @param transpose - Whether we need to transpose the matrix or not\n     * @param [out=new Float32Array(9)] - If provided the array will be assigned to out\n     * @returns The newly created array which contains the matrix\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     * Can be used to go from a child's coordinate space to the world coordinate space. (e.g. rendering)\n     * @param pos - The origin\n     * @param {Point} [newPos] - The point that the new position is assigned to (allowed to be same as input)\n     * @returns {Point} The new point, transformed through this matrix\n     */\n    public apply<P extends PointData = Point>(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     * Can be used to go from the world coordinate space to a child's coordinate space. (e.g. input)\n     * @param pos - The origin\n     * @param {Point} [newPos] - The point that the new position is assigned to (allowed to be same as input)\n     * @returns {Point} The new point, inverse-transformed through this matrix\n     */\n    public applyInverse<P extends PointData = Point>(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.\n     * @param x - How much to translate x by\n     * @param y - How much to translate y by\n     * @returns This matrix. Good for chaining method calls.\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     * @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     */\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     * @param angle - The angle in radians.\n     * @returns This matrix. Good for chaining method calls.\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     * @param matrix - The matrix to append.\n     * @returns This matrix. Good for chaining method calls.\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 matrix's and sets the result to this matrix. AB = A * B\n     * @param a - The matrix to append.\n     * @param b - The matrix to append.\n     * @returns This matrix. Good for chaining method calls.\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     * @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     */\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     * @param matrix - The matrix to prepend\n     * @returns This matrix. Good for chaining method calls.\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 (x, y, scaleX, scaleY, and rotation) and sets the properties on to a transform.\n     * @param transform - The transform to apply the properties to.\n     * @returns The transform with the newly applied properties\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     * @returns This matrix. Good for chaining method calls.\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    /** Checks if this matrix is an identity matrix */\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     * @returns This matrix. Good for chaining method calls.\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     * Changes the values of the given matrix to be the same as the ones in this matrix\n     * @param matrix - The matrix to copy to.\n     * @returns The matrix given in parameter with its values updated.\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     * @param matrix - The matrix to copy from.\n     * @returns this\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     * check to see if two matrices are the same\n     * @param matrix - The matrix to compare to.\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.\n     *\n     * This is a shared object, if you want to modify it consider creating a new `Matrix`\n     * @readonly\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     * Use this object for fast but temporary calculations, as it may be mutated later on.\n     * This is a different object to the `IDENTITY` object and so can be modified without changing `IDENTITY`.\n     * @readonly\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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