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maplibre-gl

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

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/** * MapLibre GL JS * @license 3-Clause BSD. Full text of license: https://github.com/maplibre/maplibre-gl-js/blob/v5.6.1/LICENSE.txt */ var maplibregl = (function () { 'use strict'; /****************************************************************************** Copyright (c) Microsoft Corporation. Permission to use, copy, modify, and/or distribute this software for any purpose with or without fee is hereby granted. THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. ***************************************************************************** */ /* global Reflect, Promise, SuppressedError, Symbol, Iterator */ var extendStatics = function(d, b) { extendStatics = Object.setPrototypeOf || ({ __proto__: [] } instanceof Array && function (d, b) { d.__proto__ = b; }) || function (d, b) { for (var p in b) if (Object.prototype.hasOwnProperty.call(b, p)) d[p] = b[p]; }; return extendStatics(d, b); }; function __extends(d, b) { if (typeof b !== "function" && b !== null) throw new TypeError("Class extends value " + String(b) + " is not a constructor or null"); extendStatics(d, b); function __() { this.constructor = d; } d.prototype = b === null ? 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Promise.reject(env.error) : Promise.resolve(); if (env.hasError) throw env.error; } return next(); } function __rewriteRelativeImportExtension(path, preserveJsx) { if (typeof path === "string" && /^\.\.?\//.test(path)) { return path.replace(/\.(tsx)$|((?:\.d)?)((?:\.[^./]+?)?)\.([cm]?)ts$/i, function (m, tsx, d, ext, cm) { return tsx ? preserveJsx ? 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globalThis : typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {}; function getDefaultExportFromCjs$1 (x) { return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x['default'] : x; } function getDefaultExportFromNamespaceIfPresent (n) { return n && Object.prototype.hasOwnProperty.call(n, 'default') ? n['default'] : n; } function getDefaultExportFromNamespaceIfNotNamed (n) { return n && Object.prototype.hasOwnProperty.call(n, 'default') && Object.keys(n).length === 1 ? n['default'] : n; } function getAugmentedNamespace(n) { if (Object.prototype.hasOwnProperty.call(n, '__esModule')) return n; var f = n.default; if (typeof f == "function") { var a = function a () { var isInstance = false; try { isInstance = this instanceof a; } catch {} if (isInstance) { return Reflect.construct(f, arguments, this.constructor); } return f.apply(this, arguments); }; a.prototype = f.prototype; } else a = {}; Object.defineProperty(a, '__esModule', {value: true}); Object.keys(n).forEach(function (k) { var d = Object.getOwnPropertyDescriptor(n, k); Object.defineProperty(a, k, d.get ? d : { enumerable: true, get: function () { return n[k]; } }); }); return a; } var pointGeometry; var hasRequiredPointGeometry; function requirePointGeometry () { if (hasRequiredPointGeometry) return pointGeometry; hasRequiredPointGeometry = 1; 'use strict'; pointGeometry = Point; /** * A standalone point geometry with useful accessor, comparison, and * modification methods. * * @class Point * @param {Number} x the x-coordinate. this could be longitude or screen * pixels, or any other sort of unit. * @param {Number} y the y-coordinate. this could be latitude or screen * pixels, or any other sort of unit. * @example * var point = new Point(-77, 38); */ function Point(x, y) { this.x = x; this.y = y; } Point.prototype = { /** * Clone this point, returning a new point that can be modified * without affecting the old one. * @return {Point} the clone */ clone: function() { return new Point(this.x, this.y); }, /** * Add this point's x & y coordinates to another point, * yielding a new point. * @param {Point} p the other point * @return {Point} output point */ add: function(p) { return this.clone()._add(p); }, /** * Subtract this point's x & y coordinates to from point, * yielding a new point. * @param {Point} p the other point * @return {Point} output point */ sub: function(p) { return this.clone()._sub(p); }, /** * Multiply this point's x & y coordinates by point, * yielding a new point. * @param {Point} p the other point * @return {Point} output point */ multByPoint: function(p) { return this.clone()._multByPoint(p); }, /** * Divide this point's x & y coordinates by point, * yielding a new point. * @param {Point} p the other point * @return {Point} output point */ divByPoint: function(p) { return this.clone()._divByPoint(p); }, /** * Multiply this point's x & y coordinates by a factor, * yielding a new point. * @param {Point} k factor * @return {Point} output point */ mult: function(k) { return this.clone()._mult(k); }, /** * Divide this point's x & y coordinates by a factor, * yielding a new point. * @param {Point} k factor * @return {Point} output point */ div: function(k) { return this.clone()._div(k); }, /** * Rotate this point around the 0, 0 origin by an angle a, * given in radians * @param {Number} a angle to rotate around, in radians * @return {Point} output point */ rotate: function(a) { return this.clone()._rotate(a); }, /** * Rotate this point around p point by an angle a, * given in radians * @param {Number} a angle to rotate around, in radians * @param {Point} p Point to rotate around * @return {Point} output point */ rotateAround: function(a,p) { return this.clone()._rotateAround(a,p); }, /** * Multiply this point by a 4x1 transformation matrix * @param {Array<Number>} m transformation matrix * @return {Point} output point */ matMult: function(m) { return this.clone()._matMult(m); }, /** * Calculate this point but as a unit vector from 0, 0, meaning * that the distance from the resulting point to the 0, 0 * coordinate will be equal to 1 and the angle from the resulting * point to the 0, 0 coordinate will be the same as before. * @return {Point} unit vector point */ unit: function() { return this.clone()._unit(); }, /** * Compute a perpendicular point, where the new y coordinate * is the old x coordinate and the new x coordinate is the old y * coordinate multiplied by -1 * @return {Point} perpendicular point */ perp: function() { return this.clone()._perp(); }, /** * Return a version of this point with the x & y coordinates * rounded to integers. * @return {Point} rounded point */ round: function() { return this.clone()._round(); }, /** * Return the magitude of this point: this is the Euclidean * distance from the 0, 0 coordinate to this point's x and y * coordinates. * @return {Number} magnitude */ mag: function() { return Math.sqrt(this.x * this.x + this.y * this.y); }, /** * Judge whether this point is equal to another point, returning * true or false. * @param {Point} other the other point * @return {boolean} whether the points are equal */ equals: function(other) { return this.x === other.x && this.y === other.y; }, /** * Calculate the distance from this point to another point * @param {Point} p the other point * @return {Number} distance */ dist: function(p) { return Math.sqrt(this.distSqr(p)); }, /** * Calculate the distance from this point to another point, * without the square root step. Useful if you're comparing * relative distances. * @param {Point} p the other point * @return {Number} distance */ distSqr: function(p) { var dx = p.x - this.x, dy = p.y - this.y; return dx * dx + dy * dy; }, /** * Get the angle from the 0, 0 coordinate to this point, in radians * coordinates. * @return {Number} angle */ angle: function() { return Math.atan2(this.y, this.x); }, /** * Get the angle from this point to another point, in radians * @param {Point} b the other point * @return {Number} angle */ angleTo: function(b) { return Math.atan2(this.y - b.y, this.x - b.x); }, /** * Get the angle between this point and another point, in radians * @param {Point} b the other point * @return {Number} angle */ angleWith: function(b) { return this.angleWithSep(b.x, b.y); }, /* * Find the angle of the two vectors, solving the formula for * the cross product a x b = |a||b|sin(θ) for θ. * @param {Number} x the x-coordinate * @param {Number} y the y-coordinate * @return {Number} the angle in radians */ angleWithSep: function(x, y) { return Math.atan2( this.x * y - this.y * x, this.x * x + this.y * y); }, _matMult: function(m) { var x = m[0] * this.x + m[1] * this.y, y = m[2] * this.x + m[3] * this.y; this.x = x; this.y = y; return this; }, _add: function(p) { this.x += p.x; this.y += p.y; return this; }, _sub: function(p) { this.x -= p.x; this.y -= p.y; return this; }, _mult: function(k) { this.x *= k; this.y *= k; return this; }, _div: function(k) { this.x /= k; this.y /= k; return this; }, _multByPoint: function(p) { this.x *= p.x; this.y *= p.y; return this; }, _divByPoint: function(p) { this.x /= p.x; this.y /= p.y; return this; }, _unit: function() { this._div(this.mag()); return this; }, _perp: function() { var y = this.y; this.y = this.x; this.x = -y; return this; }, _rotate: function(angle) { var cos = Math.cos(angle), sin = Math.sin(angle), x = cos * this.x - sin * this.y, y = sin * this.x + cos * this.y; this.x = x; this.y = y; return this; }, _rotateAround: function(angle, p) { var cos = Math.cos(angle), sin = Math.sin(angle), x = p.x + cos * (this.x - p.x) - sin * (this.y - p.y), y = p.y + sin * (this.x - p.x) + cos * (this.y - p.y); this.x = x; this.y = y; return this; }, _round: function() { this.x = Math.round(this.x); this.y = Math.round(this.y); return this; } }; /** * Construct a point from an array if necessary, otherwise if the input * is already a Point, or an unknown type, return it unchanged * @param {Array<Number>|Point|*} a any kind of input value * @return {Point} constructed point, or passed-through value. * @example * // this * var point = Point.convert([0, 1]); * // is equivalent to * var point = new Point(0, 1); */ Point.convert = function (a) { if (a instanceof Point) { return a; } if (Array.isArray(a)) { return new Point(a[0], a[1]); } return a; }; return pointGeometry; } var pointGeometryExports = requirePointGeometry(); var Point = /*@__PURE__*/getDefaultExportFromCjs$1(pointGeometryExports); var unitbezier$1; var hasRequiredUnitbezier$1; function requireUnitbezier$1 () { if (hasRequiredUnitbezier$1) return unitbezier$1; hasRequiredUnitbezier$1 = 1; 'use strict'; unitbezier$1 = UnitBezier; function UnitBezier(p1x, p1y, p2x, p2y) { // Calculate the polynomial coefficients, implicit first and last control points are (0,0) and (1,1). this.cx = 3.0 * p1x; this.bx = 3.0 * (p2x - p1x) - this.cx; this.ax = 1.0 - this.cx - this.bx; this.cy = 3.0 * p1y; this.by = 3.0 * (p2y - p1y) - this.cy; this.ay = 1.0 - this.cy - this.by; this.p1x = p1x; this.p1y = p1y; this.p2x = p2x; this.p2y = p2y; } UnitBezier.prototype = { sampleCurveX: function (t) { // `ax t^3 + bx t^2 + cx t' expanded using Horner's rule. return ((this.ax * t + this.bx) * t + this.cx) * t; }, sampleCurveY: function (t) { return ((this.ay * t + this.by) * t + this.cy) * t; }, sampleCurveDerivativeX: function (t) { return (3.0 * this.ax * t + 2.0 * this.bx) * t + this.cx; }, solveCurveX: function (x, epsilon) { if (epsilon === undefined) epsilon = 1e-6; if (x < 0.0) return 0.0; if (x > 1.0) return 1.0; var t = x; // First try a few iterations of Newton's method - normally very fast. for (var i = 0; i < 8; i++) { var x2 = this.sampleCurveX(t) - x; if (Math.abs(x2) < epsilon) return t; var d2 = this.sampleCurveDerivativeX(t); if (Math.abs(d2) < 1e-6) break; t = t - x2 / d2; } // Fall back to the bisection method for reliability. var t0 = 0.0; var t1 = 1.0; t = x; for (i = 0; i < 20; i++) { x2 = this.sampleCurveX(t); if (Math.abs(x2 - x) < epsilon) break; if (x > x2) { t0 = t; } else { t1 = t; } t = (t1 - t0) * 0.5 + t0; } return t; }, solve: function (x, epsilon) { return this.sampleCurveY(this.solveCurveX(x, epsilon)); } }; return unitbezier$1; } var unitbezierExports$1 = requireUnitbezier$1(); var UnitBezier$1 = /*@__PURE__*/getDefaultExportFromCjs$1(unitbezierExports$1); let supportsOffscreenCanvas; function offscreenCanvasSupported() { if (supportsOffscreenCanvas == null) { supportsOffscreenCanvas = typeof OffscreenCanvas !== 'undefined' && new OffscreenCanvas(1, 1).getContext('2d') && typeof createImageBitmap === 'function'; } return supportsOffscreenCanvas; } let offscreenCanvasDistorted; /** * Some browsers don't return the exact pixels from a canvas to prevent user fingerprinting (see #3185). * This function writes pixels to an OffscreenCanvas and reads them back using getImageData, returning false * if they don't match. * * @returns true if the browser supports OffscreenCanvas but it distorts getImageData results, false otherwise. */ function isOffscreenCanvasDistorted() { if (offscreenCanvasDistorted == null) { offscreenCanvasDistorted = false; if (offscreenCanvasSupported()) { const size = 5; const canvas = new OffscreenCanvas(size, size); const context = canvas.getContext('2d', { willReadFrequently: true }); if (context) { // fill each pixel with an RGB value that should make the byte at index i equal to i (except alpha channel): // [0, 1, 2, 255, 4, 5, 6, 255, 8, 9, 10, 255, ...] for (let i = 0; i < size * size; i++) { const base = i * 4; context.fillStyle = `rgb(${base},${base + 1},${base + 2})`; context.fillRect(i % size, Math.floor(i / size), 1, 1); } const data = context.getImageData(0, 0, size, size).data; for (let i = 0; i < size * size * 4; i++) { if (i % 4 !== 3 && data[i] !== i) { offscreenCanvasDistorted = true; break; } } } } } return offscreenCanvasDistorted || false; } /** * Common utilities * @module glMatrix */ // Configuration Constants var EPSILON = 0.000001; var ARRAY_TYPE = typeof Float32Array !== 'undefined' ? Float32Array : Array; var RANDOM = Math.random; /** * Sets the type of array used when creating new vectors and matrices * * @param {Float32ArrayConstructor | ArrayConstructor} type Array type, such as Float32Array or Array */ function setMatrixArrayType(type) { ARRAY_TYPE = type; } var degree = Math.PI / 180; /** * Convert Degree To Radian * * @param {Number} a Angle in Degrees */ function toRadian(a) { return a * degree; } /** * Tests whether or not the arguments have approximately the same value, within an absolute * or relative tolerance of glMatrix.EPSILON (an absolute tolerance is used for values less * than or equal to 1.0, and a relative tolerance is used for larger values) * * @param {Number} a The first number to test. * @param {Number} b The second number to test. * @returns {Boolean} True if the numbers are approximately equal, false otherwise. */ function equals$a(a, b) { return Math.abs(a - b) <= EPSILON * Math.max(1.0, Math.abs(a), Math.abs(b)); } if (!Math.hypot) Math.hypot = function () { var y = 0, i = arguments.length; while (i--) { y += arguments[i] * arguments[i]; } return Math.sqrt(y); }; var common = /*#__PURE__*/Object.freeze({ __proto__: null, get ARRAY_TYPE () { return ARRAY_TYPE; }, EPSILON: EPSILON, RANDOM: RANDOM, equals: equals$a, setMatrixArrayType: setMatrixArrayType, toRadian: toRadian }); /** * 2x2 Matrix * @module mat2 */ /** * Creates a new identity mat2 * * @returns {mat2} a new 2x2 matrix */ function create$8() { var out = new ARRAY_TYPE(4); if (ARRAY_TYPE != Float32Array) { out[1] = 0; out[2] = 0; } out[0] = 1; out[3] = 1; return out; } /** * Creates a new mat2 initialized with values from an existing matrix * * @param {ReadonlyMat2} a matrix to clone * @returns {mat2} a new 2x2 matrix */ function clone$9(a) { var out = new ARRAY_TYPE(4); out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; return out; } /** * Copy the values from one mat2 to another * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the source matrix * @returns {mat2} out */ function copy$8(out, a) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; return out; } /** * Set a mat2 to the identity matrix * * @param {mat2} out the receiving matrix * @returns {mat2} out */ function identity$5(out) { out[0] = 1; out[1] = 0; out[2] = 0; out[3] = 1; return out; } /** * Create a new mat2 with the given values * * @param {Number} m00 Component in column 0, row 0 position (index 0) * @param {Number} m01 Component in column 0, row 1 position (index 1) * @param {Number} m10 Component in column 1, row 0 position (index 2) * @param {Number} m11 Component in column 1, row 1 position (index 3) * @returns {mat2} out A new 2x2 matrix */ function fromValues$8(m00, m01, m10, m11) { var out = new ARRAY_TYPE(4); out[0] = m00; out[1] = m01; out[2] = m10; out[3] = m11; return out; } /** * Set the components of a mat2 to the given values * * @param {mat2} out the receiving matrix * @param {Number} m00 Component in column 0, row 0 position (index 0) * @param {Number} m01 Component in column 0, row 1 position (index 1) * @param {Number} m10 Component in column 1, row 0 position (index 2) * @param {Number} m11 Component in column 1, row 1 position (index 3) * @returns {mat2} out */ function set$8(out, m00, m01, m10, m11) { out[0] = m00; out[1] = m01; out[2] = m10; out[3] = m11; return out; } /** * Transpose the values of a mat2 * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the source matrix * @returns {mat2} out */ function transpose$2(out, a) { // If we are transposing ourselves we can skip a few steps but have to cache // some values if (out === a) { var a1 = a[1]; out[1] = a[2]; out[2] = a1; } else { out[0] = a[0]; out[1] = a[2]; out[2] = a[1]; out[3] = a[3]; } return out; } /** * Inverts a mat2 * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the source matrix * @returns {mat2} out */ function invert$5(out, a) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; // Calculate the determinant var det = a0 * a3 - a2 * a1; if (!det) { return null; } det = 1.0 / det; out[0] = a3 * det; out[1] = -a1 * det; out[2] = -a2 * det; out[3] = a0 * det; return out; } /** * Calculates the adjugate of a mat2 * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the source matrix * @returns {mat2} out */ function adjoint$2(out, a) { // Caching this value is nessecary if out == a var a0 = a[0]; out[0] = a[3]; out[1] = -a[1]; out[2] = -a[2]; out[3] = a0; return out; } /** * Calculates the determinant of a mat2 * * @param {ReadonlyMat2} a the source matrix * @returns {Number} determinant of a */ function determinant$3(a) { return a[0] * a[3] - a[2] * a[1]; } /** * Multiplies two mat2's * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the first operand * @param {ReadonlyMat2} b the second operand * @returns {mat2} out */ function multiply$8(out, a, b) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3]; out[0] = a0 * b0 + a2 * b1; out[1] = a1 * b0 + a3 * b1; out[2] = a0 * b2 + a2 * b3; out[3] = a1 * b2 + a3 * b3; return out; } /** * Rotates a mat2 by the given angle * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the matrix to rotate * @param {Number} rad the angle to rotate the matrix by * @returns {mat2} out */ function rotate$4(out, a, rad) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; var s = Math.sin(rad); var c = Math.cos(rad); out[0] = a0 * c + a2 * s; out[1] = a1 * c + a3 * s; out[2] = a0 * -s + a2 * c; out[3] = a1 * -s + a3 * c; return out; } /** * Scales the mat2 by the dimensions in the given vec2 * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the matrix to rotate * @param {ReadonlyVec2} v the vec2 to scale the matrix by * @returns {mat2} out **/ function scale$8(out, a, v) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; var v0 = v[0], v1 = v[1]; out[0] = a0 * v0; out[1] = a1 * v0; out[2] = a2 * v1; out[3] = a3 * v1; return out; } /** * Creates a matrix from a given angle * This is equivalent to (but much faster than): * * mat2.identity(dest); * mat2.rotate(dest, dest, rad); * * @param {mat2} out mat2 receiving operation result * @param {Number} rad the angle to rotate the matrix by * @returns {mat2} out */ function fromRotation$4(out, rad) { var s = Math.sin(rad); var c = Math.cos(rad); out[0] = c; out[1] = s; out[2] = -s; out[3] = c; return out; } /** * Creates a matrix from a vector scaling * This is equivalent to (but much faster than): * * mat2.identity(dest); * mat2.scale(dest, dest, vec); * * @param {mat2} out mat2 receiving operation result * @param {ReadonlyVec2} v Scaling vector * @returns {mat2} out */ function fromScaling$3(out, v) { out[0] = v[0]; out[1] = 0; out[2] = 0; out[3] = v[1]; return out; } /** * Returns a string representation of a mat2 * * @param {ReadonlyMat2} a matrix to represent as a string * @returns {String} string representation of the matrix */ function str$8(a) { return "mat2(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ")"; } /** * Returns Frobenius norm of a mat2 * * @param {ReadonlyMat2} a the matrix to calculate Frobenius norm of * @returns {Number} Frobenius norm */ function frob$3(a) { return Math.hypot(a[0], a[1], a[2], a[3]); } /** * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix * @param {ReadonlyMat2} L the lower triangular matrix * @param {ReadonlyMat2} D the diagonal matrix * @param {ReadonlyMat2} U the upper triangular matrix * @param {ReadonlyMat2} a the input matrix to factorize */ function LDU(L, D, U, a) { L[2] = a[2] / a[0]; U[0] = a[0]; U[1] = a[1]; U[3] = a[3] - L[2] * U[1]; return [L, D, U]; } /** * Adds two mat2's * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the first operand * @param {ReadonlyMat2} b the second operand * @returns {mat2} out */ function add$8(out, a, b) { out[0] = a[0] + b[0]; out[1] = a[1] + b[1]; out[2] = a[2] + b[2]; out[3] = a[3] + b[3]; return out; } /** * Subtracts matrix b from matrix a * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the first operand * @param {ReadonlyMat2} b the second operand * @returns {mat2} out */ function subtract$6(out, a, b) { out[0] = a[0] - b[0]; out[1] = a[1] - b[1]; out[2] = a[2] - b[2]; out[3] = a[3] - b[3]; return out; } /** * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) * * @param {ReadonlyMat2} a The first matrix. * @param {ReadonlyMat2} b The second matrix. * @returns {Boolean} True if the matrices are equal, false otherwise. */ function exactEquals$8(a, b) { return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; } /** * Returns whether or not the matrices have approximately the same elements in the same position. * * @param {ReadonlyMat2} a The first matrix. * @param {ReadonlyMat2} b The second matrix. * @returns {Boolean} True if the matrices are equal, false otherwise. */ function equals$9(a, b) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3]; return Math.abs(a0 - b0) <= EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)); } /** * Multiply each element of the matrix by a scalar. * * @param {mat2} out the receiving matrix * @param {ReadonlyMat2} a the matrix to scale * @param {Number} b amount to scale the matrix's elements by * @returns {mat2} out */ function multiplyScalar$3(out, a, b) { out[0] = a[0] * b; out[1] = a[1] * b; out[2] = a[2] * b; out[3] = a[3] * b; return out; } /** * Adds two mat2's after multiplying each element of the second operand by a scalar value. * * @param {mat2} out the receiving vector * @param {ReadonlyMat2} a the first operand * @param {ReadonlyMat2} b the second operand * @param {Number} scale the amount to scale b's elements by before adding * @returns {mat2} out */ function multiplyScalarAndAdd$3(out, a, b, scale) { out[0] = a[0] + b[0] * scale; out[1] = a[1] + b[1] * scale; out[2] = a[2] + b[2] * scale; out[3] = a[3] + b[3] * scale; return out; } /** * Alias for {@link mat2.multiply} * @function */ var mul$8 = multiply$8; /** * Alias for {@link mat2.subtract} * @function */ var sub$6 = subtract$6; var mat2 = /*#__PURE__*/Object.freeze({ __proto__: null, LDU: LDU, add: add$8, adjoint: adjoint$2, clone: clone$9, copy: copy$8, create: create$8, determinant: determinant$3, equals: equals$9, exactEquals: exactEquals$8, frob: frob$3, fromRotation: fromRotation$4, fromScaling: fromScaling$3, fromValues: fromValues$8, identity: identity$5, invert: invert$5, mul: mul$8, multiply: multiply$8, multiplyScalar: multiplyScalar$3, multiplyScalarAndAdd: multiplyScalarAndAdd$3, rotate: rotate$4, scale: scale$8, set: set$8, str: str$8, sub: sub$6, subtract: subtract$6, transpose: transpose$2 }); /** * 2x3 Matrix * @module mat2d * @description * A mat2d contains six elements defined as: * <pre> * [a, b, * c, d, * tx, ty] * </pre> * This is a short form for the 3x3 matrix: * <pre> * [a, b, 0, * c, d, 0, * tx, ty, 1] * </pre> * The last column is ignored so the array is shorter and operations are faster. */ /** * Creates a new identity mat2d * * @returns {mat2d} a new 2x3 matrix */ function create$7() { var out = new ARRAY_TYPE(6); if (ARRAY_TYPE != Float32Array) { out[1] = 0; out[2] = 0; out[4] = 0; out[5] = 0; } out[0] = 1; out[3] = 1; return out; } /** * Creates a new mat2d initialized with values from an existing matrix * * @param {ReadonlyMat2d} a matrix to clone * @returns {mat2d} a new 2x3 matrix */ function clone$8(a) { var out = new ARRAY_TYPE(6); out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; out[4] = a[4]; out[5] = a[5]; return out; } /** * Copy the values from one mat2d to another * * @param {mat2d} out the receiving matrix * @param {ReadonlyMat2d} a the source matrix * @returns {mat2d} out */ function copy$7(out, a) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; out[4] = a[4]; out[5] = a[5]; return out; } /** * Set a mat2d to the identity matrix * * @param {mat2d} out the receiving matrix * @returns {mat2d} out */ function identity$4(out) { out[0] = 1; out[1] = 0; out[2] = 0; out[3] = 1; out[4] = 0; out[5] = 0; return out; } /** * Create a new mat2d with the given values * * @param {Number} a Component A (index 0) * @param {Number} b Component B (index 1) * @param {Number} c Component C (index 2) * @param {Number} d Component D (index 3) * @param {Number} tx Component TX (index 4) * @param {Number} ty Component TY (index 5) * @returns {mat2d} A new mat2d */ function fromValues$7(a, b, c, d, tx, ty) { var out = new ARRAY_TYPE(6); out[0] = a; out[1] = b; out[2] = c; out[3] = d; out[4] = tx; out[5] = ty; return out; } /** * Set the components of a mat2d to the given values * * @param {mat2d} out the receiving matrix * @param {Number} a Component A (index 0) * @param {Number} b Component B (index 1) * @param {Number} c Component C (index 2) * @param {Number} d Component D (index 3) * @param {Number} tx Component TX (index 4) * @param {Number} ty Component TY (index 5) * @returns {mat2d} out */ function set$7(out, a, b, c, d, tx, ty) { out[0] = a; out[1] = b; out[2] = c; out[3] = d; out[4] = tx; out[5] = ty; return out; } /** * Inverts a mat2d * * @param {mat2d} out the receiving matrix * @param {ReadonlyMat2d} a the source matrix * @returns {mat2d} out */ function invert$4(out, a) { var aa = a[0], ab = a[1], ac = a[2], ad = a[3]; var atx = a[4], aty = a[5]; var det = aa * ad - ab * ac; if (!det) { return null; } det = 1.0 / det; out[0] = ad * det; out[1] = -ab * det; out[2] = -ac * det; out[3] = aa * det; out[4] = (ac * aty - ad * atx) * det; out[5] = (ab * atx - aa * aty) * det; return out; } /** * Calculates the determinant of a mat2d * * @param {ReadonlyMat2d} a the source matrix * @returns {Number} determinant of a */ function determinant$2(a) { return a[0] * a[3] - a[1] * a[2]; } /** * Multiplies two mat2d's * * @param {mat2d} out the receiving matrix * @param {ReadonlyMat2d} a the first operand * @param {ReadonlyMat2d} b the second operand * @returns {mat2d} out */ function multiply$7(out, a, b) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5]; var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5]; out[0] = a0 * b0 + a2 * b1; out[1] = a1 * b0 + a3 * b1; out[2] = a0 * b2 + a2 * b3; out[3] = a1 * b2 + a3 * b3; out[4] = a0 * b4 + a2 * b5 + a4; out[5] = a1 * b4 + a3 * b5 + a5; return out; } /** * Rotates a mat2d by the given angle * * @param {mat2d} out the receiving matrix * @param {ReadonlyMat2d} a the matrix to rotate * @param {Number} rad the angle to rotate the matrix by * @returns {mat2d} out *