maplibre-gl/dist/maplibre-gl-shared-dev.mjs.map

BSD licensed community fork of mapbox-gl, a WebGL interactive maps library

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* A standalone point geometry with useful accessor, comparison, and\n * modification methods.\n *\n * @class\n * @param {number} x the x-coordinate. This could be longitude or screen pixels, or any other sort of unit.\n * @param {number} y the y-coordinate. This could be latitude or screen pixels, or any other sort of unit.\n *\n * @example\n * const point = new Point(-77, 38);\n */\nexport default function Point(x, y) {\n    this.x = x;\n    this.y = y;\n}\n\nPoint.prototype = {\n    /**\n     * Clone this point, returning a new point that can be modified\n     * without affecting the old one.\n     * @return {Point} the clone\n     */\n    clone() { return new Point(this.x, this.y); },\n\n    /**\n     * Add this point's x & y coordinates to another point,\n     * yielding a new point.\n     * @param {Point} p the other point\n     * @return {Point} output point\n     */\n    add(p) { return this.clone()._add(p); },\n\n    /**\n     * Subtract this point's x & y coordinates to from point,\n     * yielding a new point.\n     * @param {Point} p the other point\n     * @return {Point} output point\n     */\n    sub(p) { return this.clone()._sub(p); },\n\n    /**\n     * Multiply this point's x & y coordinates by point,\n     * yielding a new point.\n     * @param {Point} p the other point\n     * @return {Point} output point\n     */\n    multByPoint(p) { return this.clone()._multByPoint(p); },\n\n    /**\n     * Divide this point's x & y coordinates by point,\n     * yielding a new point.\n     * @param {Point} p the other point\n     * @return {Point} output point\n     */\n    divByPoint(p) { return this.clone()._divByPoint(p); },\n\n    /**\n     * Multiply this point's x & y coordinates by a factor,\n     * yielding a new point.\n     * @param {number} k factor\n     * @return {Point} output point\n     */\n    mult(k) { return this.clone()._mult(k); },\n\n    /**\n     * Divide this point's x & y coordinates by a factor,\n     * yielding a new point.\n     * @param {number} k factor\n     * @return {Point} output point\n     */\n    div(k) { return this.clone()._div(k); },\n\n    /**\n     * Rotate this point around the 0, 0 origin by an angle a,\n     * given in radians\n     * @param {number} a angle to rotate around, in radians\n     * @return {Point} output point\n     */\n    rotate(a) { return this.clone()._rotate(a); },\n\n    /**\n     * Rotate this point around p point by an angle a,\n     * given in radians\n     * @param {number} a angle to rotate around, in radians\n     * @param {Point} p Point to rotate around\n     * @return {Point} output point\n     */\n    rotateAround(a, p) { return this.clone()._rotateAround(a, p); },\n\n    /**\n     * Multiply this point by a 4x1 transformation matrix\n     * @param {[number, number, number, number]} m transformation matrix\n     * @return {Point} output point\n     */\n    matMult(m) { return this.clone()._matMult(m); },\n\n    /**\n     * Calculate this point but as a unit vector from 0, 0, meaning\n     * that the distance from the resulting point to the 0, 0\n     * coordinate will be equal to 1 and the angle from the resulting\n     * point to the 0, 0 coordinate will be the same as before.\n     * @return {Point} unit vector point\n     */\n    unit() { return this.clone()._unit(); },\n\n    /**\n     * Compute a perpendicular point, where the new y coordinate\n     * is the old x coordinate and the new x coordinate is the old y\n     * coordinate multiplied by -1\n     * @return {Point} perpendicular point\n     */\n    perp() { return this.clone()._perp(); },\n\n    /**\n     * Return a version of this point with the x & y coordinates\n     * rounded to integers.\n     * @return {Point} rounded point\n     */\n    round() { return this.clone()._round(); },\n\n    /**\n     * Return the magnitude of this point: this is the Euclidean\n     * distance from the 0, 0 coordinate to this point's x and y\n     * coordinates.\n     * @return {number} magnitude\n     */\n    mag() {\n        return Math.sqrt(this.x * this.x + this.y * this.y);\n    },\n\n    /**\n     * Judge whether this point is equal to another point, returning\n     * true or false.\n     * @param {Point} other the other point\n     * @return {boolean} whether the points are equal\n     */\n    equals(other) {\n        return this.x === other.x &&\n               this.y === other.y;\n    },\n\n    /**\n     * Calculate the distance from this point to another point\n     * @param {Point} p the other point\n     * @return {number} distance\n     */\n    dist(p) {\n        return Math.sqrt(this.distSqr(p));\n    },\n\n    /**\n     * Calculate the distance from this point to another point,\n     * without the square root step. Useful if you're comparing\n     * relative distances.\n     * @param {Point} p the other point\n     * @return {number} distance\n     */\n    distSqr(p) {\n        const dx = p.x - this.x,\n            dy = p.y - this.y;\n        return dx * dx + dy * dy;\n    },\n\n    /**\n     * Get the angle from the 0, 0 coordinate to this point, in radians\n     * coordinates.\n     * @return {number} angle\n     */\n    angle() {\n        return Math.atan2(this.y, this.x);\n    },\n\n    /**\n     * Get the angle from this point to another point, in radians\n     * @param {Point} b the other point\n     * @return {number} angle\n     */\n    angleTo(b) {\n        return Math.atan2(this.y - b.y, this.x - b.x);\n    },\n\n    /**\n     * Get the angle between this point and another point, in radians\n     * @param {Point} b the other point\n     * @return {number} angle\n     */\n    angleWith(b) {\n        return this.angleWithSep(b.x, b.y);\n    },\n\n    /**\n     * Find the angle of the two vectors, solving the formula for\n     * the cross product a x b = |a||b|sin(θ) for θ.\n     * @param {number} x the x-coordinate\n     * @param {number} y the y-coordinate\n     * @return {number} the angle in radians\n     */\n    angleWithSep(x, y) {\n        return Math.atan2(\n            this.x * y - this.y * x,\n            this.x * x + this.y * y);\n    },\n\n    /** @param {[number, number, number, number]} m */\n    _matMult(m) {\n        const x = m[0] * this.x + m[1] * this.y,\n            y = m[2] * this.x + m[3] * this.y;\n        this.x = x;\n        this.y = y;\n        return this;\n    },\n\n    /** @param {Point} p */\n    _add(p) {\n        this.x += p.x;\n        this.y += p.y;\n        return this;\n    },\n\n    /** @param {Point} p */\n    _sub(p) {\n        this.x -= p.x;\n        this.y -= p.y;\n        return this;\n    },\n\n    /** @param {number} k */\n    _mult(k) {\n        this.x *= k;\n        this.y *= k;\n        return this;\n    },\n\n    /** @param {number} k */\n    _div(k) {\n        this.x /= k;\n        this.y /= k;\n        return this;\n    },\n\n    /** @param {Point} p */\n    _multByPoint(p) {\n        this.x *= p.x;\n        this.y *= p.y;\n        return this;\n    },\n\n    /** @param {Point} p */\n    _divByPoint(p) {\n        this.x /= p.x;\n        this.y /= p.y;\n        return this;\n    },\n\n    _unit() {\n        this._div(this.mag());\n        return this;\n    },\n\n    _perp() {\n        const y = this.y;\n        this.y = this.x;\n        this.x = -y;\n        return this;\n    },\n\n    /** @param {number} angle */\n    _rotate(angle) {\n        const cos = Math.cos(angle),\n            sin = Math.sin(angle),\n            x = cos * this.x - sin * this.y,\n            y = sin * this.x + cos * this.y;\n        this.x = x;\n        this.y = y;\n        return this;\n    },\n\n    /**\n     * @param {number} angle\n     * @param {Point} p\n     */\n    _rotateAround(angle, p) {\n        const cos = Math.cos(angle),\n            sin = Math.sin(angle),\n            x = p.x + cos * (this.x - p.x) - sin * (this.y - p.y),\n            y = p.y + sin * (this.x - p.x) + cos * (this.y - p.y);\n        this.x = x;\n        this.y = y;\n        return this;\n    },\n\n    _round() {\n        this.x = Math.round(this.x);\n        this.y = Math.round(this.y);\n        return this;\n    },\n\n    constructor: Point\n};\n\n/**\n * Construct a point from an array if necessary, otherwise if the input\n * is already a Point, return it unchanged.\n * @param {Point | [number, number] | {x: number, y: number}} p input value\n * @return {Point} constructed point.\n * @example\n * // this\n * var point = Point.convert([0, 1]);\n * // is equivalent to\n * var point = new Point(0, 1);\n */\nPoint.convert = function (p) {\n    if (p instanceof Point) {\n        return /** @type {Point} */ (p);\n    }\n    if (Array.isArray(p)) {\n        return new Point(+p[0], +p[1]);\n    }\n    if (p.x !== undefined && p.y !== undefined) {\n        return new Point(+p.x, +p.y);\n    }\n    throw new Error('Expected [x, y] or {x, y} point format');\n};\n","\nexport default function unitBezier(p1x, p1y, p2x, p2y) {\n    // Calculate the polynomial coefficients, implicit first and last control points are (0,0) and (1,1).\n    const cx = 3 * p1x;\n    const bx = 3 * (p2x - p1x) - cx;\n    const ax = 1 - cx - bx;\n\n    const cy = 3 * p1y;\n    const by = 3 * (p2y - p1y) - cy;\n    const ay = 1 - cy - by;\n\n    return function solve(x, epsilon = 1e-6) {\n        if (x <= 0) return 0;\n        if (x >= 1) return 1;\n\n        let t = x;\n\n        // First try a few iterations of Newton's method - normally very fast.\n        // `ax t^3 + bx t^2 + cx t` expanded using Horner's rule.\n        for (let i = 0; i < 8; i++) {\n            const x2 = ((ax * t + bx) * t + cx) * t - x;\n            if (Math.abs(x2) < epsilon) return ((ay * t + by) * t + cy) * t;\n\n            const d2 = (3 * ax * t + 2 * bx) * t + cx;\n            if (Math.abs(d2) < 1e-6) break;\n\n            t -= x2 / d2;\n        }\n\n        // Fall back to the bisection method for reliability.\n        let t0 = 0;\n        let t1 = 1;\n        t = x;\n\n        for (let i = 0; i < 20; i++) {\n            const x2 = ((ax * t + bx) * t + cx) * t;\n            if (Math.abs(x2 - x) < epsilon) break;\n\n            if (x > x2) t0 = t;\n            else t1 = t;\n\n            t = (t0 + t1) * 0.5;\n        }\n\n        return ((ay * t + by) * t + cy) * t;\n    };\n}\n","let supportsOffscreenCanvas: boolean;\n\nexport function offscreenCanvasSupported(): boolean {\n    supportsOffscreenCanvas ??= typeof OffscreenCanvas !== 'undefined' &&\n            new OffscreenCanvas(1, 1).getContext('2d') &&\n            typeof createImageBitmap === 'function';\n\n    return supportsOffscreenCanvas;\n}\n","import {offscreenCanvasSupported} from './offscreen_canvas_supported.ts';\n\nlet offscreenCanvasDistorted: boolean;\n\n/**\n * Some browsers don't return the exact pixels from a canvas to prevent user fingerprinting (see #3185).\n * This function writes pixels to an OffscreenCanvas and reads them back using getImageData, returning false\n * if they don't match.\n *\n * @returns true if the browser supports OffscreenCanvas but it distorts getImageData results, false otherwise.\n */\nexport function isOffscreenCanvasDistorted(): boolean {\n    if (offscreenCanvasDistorted == null) {\n        offscreenCanvasDistorted = false;\n        if (offscreenCanvasSupported()) {\n            const size = 5;\n            const canvas = new OffscreenCanvas(size, size);\n            const context = canvas.getContext('2d', {willReadFrequently: true});\n            if (context) {\n                // fill each pixel with an RGB value that should make the byte at index i equal to i (except alpha channel):\n                // [0, 1, 2, 255, 4, 5, 6, 255, 8, 9, 10, 255, ...]\n                for (let i = 0; i < size * size; i++) {\n                    const base = i * 4;\n                    context.fillStyle = `rgb(${base},${base + 1},${base + 2})`;\n                    context.fillRect(i % size, Math.floor(i / size), 1, 1);\n                }\n                const data = context.getImageData(0, 0, size, size).data;\n                for (let i = 0; i < size * size * 4; i++) {\n                    if (i % 4 !== 3 && data[i] !== i) {\n                        offscreenCanvasDistorted = true;\n                        break;\n                    }\n                }\n            }\n        }\n    }\n\n    return offscreenCanvasDistorted || false;\n}\n","/**\n * Common utilities\n * @module glMatrix\n */\n\n// Configuration Constants\nexport var EPSILON = 0.000001;\nexport var ARRAY_TYPE = typeof Float32Array !== \"undefined\" ? Float32Array : Array;\nexport var RANDOM = Math.random;\nexport var ANGLE_ORDER = \"zyx\";\n\n/**\n * Symmetric round\n * see https://www.npmjs.com/package/round-half-up-symmetric#user-content-detailed-background\n *\n * @param {Number} a value to round\n */\nexport function round(a) {\n  if (a >= 0) return Math.round(a);\n  return a % 0.5 === 0 ? Math.floor(a) : Math.round(a);\n}\n\n/**\n * Sets the type of array used when creating new vectors and matrices\n *\n * @param {Float32ArrayConstructor | ArrayConstructor} type Array type, such as Float32Array or Array\n */\nexport function setMatrixArrayType(type) {\n  ARRAY_TYPE = type;\n}\nvar degree = Math.PI / 180;\nvar radian = 180 / Math.PI;\n\n/**\n * Convert Degree To Radian\n *\n * @param {Number} a Angle in Degrees\n */\nexport function toRadian(a) {\n  return a * degree;\n}\n\n/**\n * Convert Radian To Degree\n *\n * @param {Number} a Angle in Radians\n */\nexport function toDegree(a) {\n  return a * radian;\n}\n\n/**\n * Tests whether or not the arguments have approximately the same value, within an absolute\n * or relative tolerance of glMatrix.EPSILON (an absolute tolerance is used for values less\n * than or equal to 1.0, and a relative tolerance is used for larger values)\n *\n * @param {Number} a          The first number to test.\n * @param {Number} b          The second number to test.\n * @param {Number} tolerance  Absolute or relative tolerance (default glMatrix.EPSILON)\n * @returns {Boolean} True if the numbers are approximately equal, false otherwise.\n */\nexport function equals(a, b) {\n  var tolerance = arguments.length > 2 && arguments[2] !== undefined ? arguments[2] : EPSILON;\n  return Math.abs(a - b) <= tolerance * Math.max(1, Math.abs(a), Math.abs(b));\n}","import * as glMatrix from \"./common.js\";\n\n/**\n * 2x2 Matrix\n * @module mat2\n */\n\n/**\n * Creates a new identity mat2\n *\n * @returns {mat2} a new 2x2 matrix\n */\nexport function create() {\n  var out = new glMatrix.ARRAY_TYPE(4);\n  if (glMatrix.ARRAY_TYPE != Float32Array) {\n    out[1] = 0;\n    out[2] = 0;\n  }\n  out[0] = 1;\n  out[3] = 1;\n  return out;\n}\n\n/**\n * Creates a new mat2 initialized with values from an existing matrix\n *\n * @param {ReadonlyMat2} a matrix to clone\n * @returns {mat2} a new 2x2 matrix\n */\nexport function clone(a) {\n  var out = new glMatrix.ARRAY_TYPE(4);\n  out[0] = a[0];\n  out[1] = a[1];\n  out[2] = a[2];\n  out[3] = a[3];\n  return out;\n}\n\n/**\n * Copy the values from one mat2 to another\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the source matrix\n * @returns {mat2} out\n */\nexport function copy(out, a) {\n  out[0] = a[0];\n  out[1] = a[1];\n  out[2] = a[2];\n  out[3] = a[3];\n  return out;\n}\n\n/**\n * Set a mat2 to the identity matrix\n *\n * @param {mat2} out the receiving matrix\n * @returns {mat2} out\n */\nexport function identity(out) {\n  out[0] = 1;\n  out[1] = 0;\n  out[2] = 0;\n  out[3] = 1;\n  return out;\n}\n\n/**\n * Create a new mat2 with the given values\n *\n * @param {Number} m00 Component in column 0, row 0 position (index 0)\n * @param {Number} m01 Component in column 0, row 1 position (index 1)\n * @param {Number} m10 Component in column 1, row 0 position (index 2)\n * @param {Number} m11 Component in column 1, row 1 position (index 3)\n * @returns {mat2} out A new 2x2 matrix\n */\nexport function fromValues(m00, m01, m10, m11) {\n  var out = new glMatrix.ARRAY_TYPE(4);\n  out[0] = m00;\n  out[1] = m01;\n  out[2] = m10;\n  out[3] = m11;\n  return out;\n}\n\n/**\n * Set the components of a mat2 to the given values\n *\n * @param {mat2} out the receiving matrix\n * @param {Number} m00 Component in column 0, row 0 position (index 0)\n * @param {Number} m01 Component in column 0, row 1 position (index 1)\n * @param {Number} m10 Component in column 1, row 0 position (index 2)\n * @param {Number} m11 Component in column 1, row 1 position (index 3)\n * @returns {mat2} out\n */\nexport function set(out, m00, m01, m10, m11) {\n  out[0] = m00;\n  out[1] = m01;\n  out[2] = m10;\n  out[3] = m11;\n  return out;\n}\n\n/**\n * Transpose the values of a mat2\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the source matrix\n * @returns {mat2} out\n */\nexport function transpose(out, a) {\n  // If we are transposing ourselves we can skip a few steps but have to cache\n  // some values\n  if (out === a) {\n    var a1 = a[1];\n    out[1] = a[2];\n    out[2] = a1;\n  } else {\n    out[0] = a[0];\n    out[1] = a[2];\n    out[2] = a[1];\n    out[3] = a[3];\n  }\n  return out;\n}\n\n/**\n * Inverts a mat2\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the source matrix\n * @returns {mat2 | null} out, or null if source matrix is not invertible\n */\nexport function invert(out, a) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3];\n\n  // Calculate the determinant\n  var det = a0 * a3 - a2 * a1;\n  if (!det) {\n    return null;\n  }\n  det = 1.0 / det;\n  out[0] = a3 * det;\n  out[1] = -a1 * det;\n  out[2] = -a2 * det;\n  out[3] = a0 * det;\n  return out;\n}\n\n/**\n * Calculates the adjugate of a mat2\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the source matrix\n * @returns {mat2} out\n */\nexport function adjoint(out, a) {\n  // Caching this value is necessary if out == a\n  var a0 = a[0];\n  out[0] = a[3];\n  out[1] = -a[1];\n  out[2] = -a[2];\n  out[3] = a0;\n  return out;\n}\n\n/**\n * Calculates the determinant of a mat2\n *\n * @param {ReadonlyMat2} a the source matrix\n * @returns {Number} determinant of a\n */\nexport function determinant(a) {\n  return a[0] * a[3] - a[2] * a[1];\n}\n\n/**\n * Multiplies two mat2's\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the first operand\n * @param {ReadonlyMat2} b the second operand\n * @returns {mat2} out\n */\nexport function multiply(out, a, b) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3];\n  var b0 = b[0],\n    b1 = b[1],\n    b2 = b[2],\n    b3 = b[3];\n  out[0] = a0 * b0 + a2 * b1;\n  out[1] = a1 * b0 + a3 * b1;\n  out[2] = a0 * b2 + a2 * b3;\n  out[3] = a1 * b2 + a3 * b3;\n  return out;\n}\n\n/**\n * Rotates a mat2 by the given angle\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat2} out\n */\nexport function rotate(out, a, rad) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3];\n  var s = Math.sin(rad);\n  var c = Math.cos(rad);\n  out[0] = a0 * c + a2 * s;\n  out[1] = a1 * c + a3 * s;\n  out[2] = a0 * -s + a2 * c;\n  out[3] = a1 * -s + a3 * c;\n  return out;\n}\n\n/**\n * Scales the mat2 by the dimensions in the given vec2\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the matrix to rotate\n * @param {ReadonlyVec2} v the vec2 to scale the matrix by\n * @returns {mat2} out\n **/\nexport function scale(out, a, v) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3];\n  var v0 = v[0],\n    v1 = v[1];\n  out[0] = a0 * v0;\n  out[1] = a1 * v0;\n  out[2] = a2 * v1;\n  out[3] = a3 * v1;\n  return out;\n}\n\n/**\n * Creates a matrix from a given angle\n * This is equivalent to (but much faster than):\n *\n *     mat2.identity(dest);\n *     mat2.rotate(dest, dest, rad);\n *\n * @param {mat2} out mat2 receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat2} out\n */\nexport function fromRotation(out, rad) {\n  var s = Math.sin(rad);\n  var c = Math.cos(rad);\n  out[0] = c;\n  out[1] = s;\n  out[2] = -s;\n  out[3] = c;\n  return out;\n}\n\n/**\n * Creates a matrix from a vector scaling\n * This is equivalent to (but much faster than):\n *\n *     mat2.identity(dest);\n *     mat2.scale(dest, dest, vec);\n *\n * @param {mat2} out mat2 receiving operation result\n * @param {ReadonlyVec2} v Scaling vector\n * @returns {mat2} out\n */\nexport function fromScaling(out, v) {\n  out[0] = v[0];\n  out[1] = 0;\n  out[2] = 0;\n  out[3] = v[1];\n  return out;\n}\n\n/**\n * Returns a string representation of a mat2\n *\n * @param {ReadonlyMat2} a matrix to represent as a string\n * @returns {String} string representation of the matrix\n */\nexport function str(a) {\n  return \"mat2(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \", \" + a[3] + \")\";\n}\n\n/**\n * Returns Frobenius norm of a mat2\n *\n * @param {ReadonlyMat2} a the matrix to calculate Frobenius norm of\n * @returns {Number} Frobenius norm\n */\nexport function frob(a) {\n  return Math.sqrt(a[0] * a[0] + a[1] * a[1] + a[2] * a[2] + a[3] * a[3]);\n}\n\n/**\n * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix\n * @param {ReadonlyMat2} L the lower triangular matrix\n * @param {ReadonlyMat2} D the diagonal matrix\n * @param {ReadonlyMat2} U the upper triangular matrix\n * @param {ReadonlyMat2} a the input matrix to factorize\n */\n\nexport function LDU(L, D, U, a) {\n  L[2] = a[2] / a[0];\n  U[0] = a[0];\n  U[1] = a[1];\n  U[3] = a[3] - L[2] * U[1];\n  return [L, D, U];\n}\n\n/**\n * Adds two mat2's\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the first operand\n * @param {ReadonlyMat2} b the second operand\n * @returns {mat2} out\n */\nexport function add(out, a, b) {\n  out[0] = a[0] + b[0];\n  out[1] = a[1] + b[1];\n  out[2] = a[2] + b[2];\n  out[3] = a[3] + b[3];\n  return out;\n}\n\n/**\n * Subtracts matrix b from matrix a\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the first operand\n * @param {ReadonlyMat2} b the second operand\n * @returns {mat2} out\n */\nexport function subtract(out, a, b) {\n  out[0] = a[0] - b[0];\n  out[1] = a[1] - b[1];\n  out[2] = a[2] - b[2];\n  out[3] = a[3] - b[3];\n  return out;\n}\n\n/**\n * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)\n *\n * @param {ReadonlyMat2} a The first matrix.\n * @param {ReadonlyMat2} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\nexport function exactEquals(a, b) {\n  return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Returns whether or not the matrices have approximately the same elements in the same position.\n *\n * @param {ReadonlyMat2} a The first matrix.\n * @param {ReadonlyMat2} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\nexport function equals(a, b) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3];\n  var b0 = b[0],\n    b1 = b[1],\n    b2 = b[2],\n    b3 = b[3];\n  return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3));\n}\n\n/**\n * Multiply each element of the matrix by a scalar.\n *\n * @param {mat2} out the receiving matrix\n * @param {ReadonlyMat2} a the matrix to scale\n * @param {Number} b amount to scale the matrix's elements by\n * @returns {mat2} out\n */\nexport function multiplyScalar(out, a, b) {\n  out[0] = a[0] * b;\n  out[1] = a[1] * b;\n  out[2] = a[2] * b;\n  out[3] = a[3] * b;\n  return out;\n}\n\n/**\n * Adds two mat2's after multiplying each element of the second operand by a scalar value.\n *\n * @param {mat2} out the receiving vector\n * @param {ReadonlyMat2} a the first operand\n * @param {ReadonlyMat2} b the second operand\n * @param {Number} scale the amount to scale b's elements by before adding\n * @returns {mat2} out\n */\nexport function multiplyScalarAndAdd(out, a, b, scale) {\n  out[0] = a[0] + b[0] * scale;\n  out[1] = a[1] + b[1] * scale;\n  out[2] = a[2] + b[2] * scale;\n  out[3] = a[3] + b[3] * scale;\n  return out;\n}\n\n/**\n * Alias for {@link mat2.multiply}\n * @function\n */\nexport var mul = multiply;\n\n/**\n * Alias for {@link mat2.subtract}\n * @function\n */\nexport var sub = subtract;","import * as glMatrix from \"./common.js\";\n\n/**\n * 2x3 Matrix\n * @module mat2d\n * @description\n * A mat2d contains six elements defined as:\n * <pre>\n * [a, b,\n *  c, d,\n *  tx, ty]\n * </pre>\n * This is a short form for the 3x3 matrix:\n * <pre>\n * [a, b, 0,\n *  c, d, 0,\n *  tx, ty, 1]\n * </pre>\n * The last column is ignored so the array is shorter and operations are faster.\n */\n\n/**\n * Creates a new identity mat2d\n *\n * @returns {mat2d} a new 2x3 matrix\n */\nexport function create() {\n  var out = new glMatrix.ARRAY_TYPE(6);\n  if (glMatrix.ARRAY_TYPE != Float32Array) {\n    out[1] = 0;\n    out[2] = 0;\n    out[4] = 0;\n    out[5] = 0;\n  }\n  out[0] = 1;\n  out[3] = 1;\n  return out;\n}\n\n/**\n * Creates a new mat2d initialized with values from an existing matrix\n *\n * @param {ReadonlyMat2d} a matrix to clone\n * @returns {mat2d} a new 2x3 matrix\n */\nexport function clone(a) {\n  var out = new glMatrix.ARRAY_TYPE(6);\n  out[0] = a[0];\n  out[1] = a[1];\n  out[2] = a[2];\n  out[3] = a[3];\n  out[4] = a[4];\n  out[5] = a[5];\n  return out;\n}\n\n/**\n * Copy the values from one mat2d to another\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the source matrix\n * @returns {mat2d} out\n */\nexport function copy(out, a) {\n  out[0] = a[0];\n  out[1] = a[1];\n  out[2] = a[2];\n  out[3] = a[3];\n  out[4] = a[4];\n  out[5] = a[5];\n  return out;\n}\n\n/**\n * Set a mat2d to the identity matrix\n *\n * @param {mat2d} out the receiving matrix\n * @returns {mat2d} out\n */\nexport function identity(out) {\n  out[0] = 1;\n  out[1] = 0;\n  out[2] = 0;\n  out[3] = 1;\n  out[4] = 0;\n  out[5] = 0;\n  return out;\n}\n\n/**\n * Create a new mat2d with the given values\n *\n * @param {Number} a Component A (index 0)\n * @param {Number} b Component B (index 1)\n * @param {Number} c Component C (index 2)\n * @param {Number} d Component D (index 3)\n * @param {Number} tx Component TX (index 4)\n * @param {Number} ty Component TY (index 5)\n * @returns {mat2d} A new mat2d\n */\nexport function fromValues(a, b, c, d, tx, ty) {\n  var out = new glMatrix.ARRAY_TYPE(6);\n  out[0] = a;\n  out[1] = b;\n  out[2] = c;\n  out[3] = d;\n  out[4] = tx;\n  out[5] = ty;\n  return out;\n}\n\n/**\n * Set the components of a mat2d to the given values\n *\n * @param {mat2d} out the receiving matrix\n * @param {Number} a Component A (index 0)\n * @param {Number} b Component B (index 1)\n * @param {Number} c Component C (index 2)\n * @param {Number} d Component D (index 3)\n * @param {Number} tx Component TX (index 4)\n * @param {Number} ty Component TY (index 5)\n * @returns {mat2d} out\n */\nexport function set(out, a, b, c, d, tx, ty) {\n  out[0] = a;\n  out[1] = b;\n  out[2] = c;\n  out[3] = d;\n  out[4] = tx;\n  out[5] = ty;\n  return out;\n}\n\n/**\n * Inverts a mat2d\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the source matrix\n * @returns {mat2d | null} out, or null if source matrix is not invertible\n */\nexport function invert(out, a) {\n  var aa = a[0],\n    ab = a[1],\n    ac = a[2],\n    ad = a[3];\n  var atx = a[4],\n    aty = a[5];\n  var det = aa * ad - ab * ac;\n  if (!det) {\n    return null;\n  }\n  det = 1.0 / det;\n  out[0] = ad * det;\n  out[1] = -ab * det;\n  out[2] = -ac * det;\n  out[3] = aa * det;\n  out[4] = (ac * aty - ad * atx) * det;\n  out[5] = (ab * atx - aa * aty) * det;\n  return out;\n}\n\n/**\n * Calculates the determinant of a mat2d\n *\n * @param {ReadonlyMat2d} a the source matrix\n * @returns {Number} determinant of a\n */\nexport function determinant(a) {\n  return a[0] * a[3] - a[1] * a[2];\n}\n\n/**\n * Multiplies two mat2d's\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the first operand\n * @param {ReadonlyMat2d} b the second operand\n * @returns {mat2d} out\n */\nexport function multiply(out, a, b) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3],\n    a4 = a[4],\n    a5 = a[5];\n  var b0 = b[0],\n    b1 = b[1],\n    b2 = b[2],\n    b3 = b[3],\n    b4 = b[4],\n    b5 = b[5];\n  out[0] = a0 * b0 + a2 * b1;\n  out[1] = a1 * b0 + a3 * b1;\n  out[2] = a0 * b2 + a2 * b3;\n  out[3] = a1 * b2 + a3 * b3;\n  out[4] = a0 * b4 + a2 * b5 + a4;\n  out[5] = a1 * b4 + a3 * b5 + a5;\n  return out;\n}\n\n/**\n * Rotates a mat2d by the given angle\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat2d} out\n */\nexport function rotate(out, a, rad) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3],\n    a4 = a[4],\n    a5 = a[5];\n  var s = Math.sin(rad);\n  var c = Math.cos(rad);\n  out[0] = a0 * c + a2 * s;\n  out[1] = a1 * c + a3 * s;\n  out[2] = a0 * -s + a2 * c;\n  out[3] = a1 * -s + a3 * c;\n  out[4] = a4;\n  out[5] = a5;\n  return out;\n}\n\n/**\n * Scales the mat2d by the dimensions in the given vec2\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the matrix to translate\n * @param {ReadonlyVec2} v the vec2 to scale the matrix by\n * @returns {mat2d} out\n **/\nexport function scale(out, a, v) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3],\n    a4 = a[4],\n    a5 = a[5];\n  var v0 = v[0],\n    v1 = v[1];\n  out[0] = a0 * v0;\n  out[1] = a1 * v0;\n  out[2] = a2 * v1;\n  out[3] = a3 * v1;\n  out[4] = a4;\n  out[5] = a5;\n  return out;\n}\n\n/**\n * Translates the mat2d by the dimensions in the given vec2\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the matrix to translate\n * @param {ReadonlyVec2} v the vec2 to translate the matrix by\n * @returns {mat2d} out\n **/\nexport function translate(out, a, v) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3],\n    a4 = a[4],\n    a5 = a[5];\n  var v0 = v[0],\n    v1 = v[1];\n  out[0] = a0;\n  out[1] = a1;\n  out[2] = a2;\n  out[3] = a3;\n  out[4] = a0 * v0 + a2 * v1 + a4;\n  out[5] = a1 * v0 + a3 * v1 + a5;\n  return out;\n}\n\n/**\n * Creates a matrix from a given angle\n * This is equivalent to (but much faster than):\n *\n *     mat2d.identity(dest);\n *     mat2d.rotate(dest, dest, rad);\n *\n * @param {mat2d} out mat2d receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat2d} out\n */\nexport function fromRotation(out, rad) {\n  var s = Math.sin(rad),\n    c = Math.cos(rad);\n  out[0] = c;\n  out[1] = s;\n  out[2] = -s;\n  out[3] = c;\n  out[4] = 0;\n  out[5] = 0;\n  return out;\n}\n\n/**\n * Creates a matrix from a vector scaling\n * This is equivalent to (but much faster than):\n *\n *     mat2d.identity(dest);\n *     mat2d.scale(dest, dest, vec);\n *\n * @param {mat2d} out mat2d receiving operation result\n * @param {ReadonlyVec2} v Scaling vector\n * @returns {mat2d} out\n */\nexport function fromScaling(out, v) {\n  out[0] = v[0];\n  out[1] = 0;\n  out[2] = 0;\n  out[3] = v[1];\n  out[4] = 0;\n  out[5] = 0;\n  return out;\n}\n\n/**\n * Creates a matrix from a vector translation\n * This is equivalent to (but much faster than):\n *\n *     mat2d.identity(dest);\n *     mat2d.translate(dest, dest, vec);\n *\n * @param {mat2d} out mat2d receiving operation result\n * @param {ReadonlyVec2} v Translation vector\n * @returns {mat2d} out\n */\nexport function fromTranslation(out, v) {\n  out[0] = 1;\n  out[1] = 0;\n  out[2] = 0;\n  out[3] = 1;\n  out[4] = v[0];\n  out[5] = v[1];\n  return out;\n}\n\n/**\n * Returns a string representation of a mat2d\n *\n * @param {ReadonlyMat2d} a matrix to represent as a string\n * @returns {String} string representation of the matrix\n */\nexport function str(a) {\n  return \"mat2d(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \", \" + a[3] + \", \" + a[4] + \", \" + a[5] + \")\";\n}\n\n/**\n * Returns Frobenius norm of a mat2d\n *\n * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of\n * @returns {Number} Frobenius norm\n */\nexport function frob(a) {\n  return Math.sqrt(a[0] * a[0] + a[1] * a[1] + a[2] * a[2] + a[3] * a[3] + a[4] * a[4] + a[5] * a[5] + 1);\n}\n\n/**\n * Adds two mat2d's\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the first operand\n * @param {ReadonlyMat2d} b the second operand\n * @returns {mat2d} out\n */\nexport function add(out, a, b) {\n  out[0] = a[0] + b[0];\n  out[1] = a[1] + b[1];\n  out[2] = a[2] + b[2];\n  out[3] = a[3] + b[3];\n  out[4] = a[4] + b[4];\n  out[5] = a[5] + b[5];\n  return out;\n}\n\n/**\n * Subtracts matrix b from matrix a\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the first operand\n * @param {ReadonlyMat2d} b the second operand\n * @returns {mat2d} out\n */\nexport function subtract(out, a, b) {\n  out[0] = a[0] - b[0];\n  out[1] = a[1] - b[1];\n  out[2] = a[2] - b[2];\n  out[3] = a[3] - b[3];\n  out[4] = a[4] - b[4];\n  out[5] = a[5] - b[5];\n  return out;\n}\n\n/**\n * Multiply each element of the matrix by a scalar.\n *\n * @param {mat2d} out the receiving matrix\n * @param {ReadonlyMat2d} a the matrix to scale\n * @param {Number} b amount to scale the matrix's elements by\n * @returns {mat2d} out\n */\nexport function multiplyScalar(out, a, b) {\n  out[0] = a[0] * b;\n  out[1] = a[1] * b;\n  out[2] = a[2] * b;\n  out[3] = a[3] * b;\n  out[4] = a[4] * b;\n  out[5] = a[5] * b;\n  return out;\n}\n\n/**\n * Adds two mat2d's after multiplying each element of the second operand by a scalar value.\n *\n * @param {mat2d} out the receiving vector\n * @param {ReadonlyMat2d} a the first operand\n * @param {ReadonlyMat2d} b the second operand\n * @param {Number} scale the amount to scale b's elements by before adding\n * @returns {mat2d} out\n */\nexport function multiplyScalarAndAdd(out, a, b, scale) {\n  out[0] = a[0] + b[0] * scale;\n  out[1] = a[1] + b[1] * scale;\n  out[2] = a[2] + b[2] * scale;\n  out[3] = a[3] + b[3] * scale;\n  out[4] = a[4] + b[4] * scale;\n  out[5] = a[5] + b[5] * scale;\n  return out;\n}\n\n/**\n * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)\n *\n * @param {ReadonlyMat2d} a The first matrix.\n * @param {ReadonlyMat2d} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\nexport function exactEquals(a, b) {\n  return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5];\n}\n\n/**\n * Returns whether or not the matrices have approximately the same elements in the same position.\n *\n * @param {ReadonlyMat2d} a The first matrix.\n * @param {ReadonlyMat2d} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\nexport function equals(a, b) {\n  var a0 = a[0],\n    a1 = a[1],\n    a2 = a[2],\n    a3 = a[3],\n    a4 = a[4],\n    a5 = a[5];\n  var b0 = b[0],\n    b1 = b[1],\n    b2 = b[2],\n    b3 = b[3],\n    b4 = b[4],\n    b5 = b[5];\n  return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)