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util.js
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// @flow
import UnitBezier from '@mapbox/unitbezier';
import Point from '@mapbox/point-geometry';
import window from './window.js';
import assert from 'assert';
import type {Callback} from '../types/callback.js';
// Number.MAX_SAFE_INTEGER not available in IE
export const MAX_SAFE_INTEGER = Math.pow(2, 53) - 1;
const DEG_TO_RAD = Math.PI / 180;
const RAD_TO_DEG = 180 / Math.PI;
/**
* Converts an angle in degrees to radians
* copy all properties from the source objects into the destination.
* The last source object given overrides properties from previous
* source objects.
*
* @param a angle to convert
* @returns the angle in radians
* @private
*/
export function degToRad(a: number): number {
return a * DEG_TO_RAD;
}
/**
* Converts an angle in radians to degrees
* copy all properties from the source objects into the destination.
* The last source object given overrides properties from previous
* source objects.
*
* @param a angle to convert
* @returns the angle in degrees
* @private
*/
export function radToDeg(a: number): number {
return a * RAD_TO_DEG;
}
const TILE_CORNERS = [[0, 0], [1, 0], [1, 1], [0, 1]];
/**
* Given a particular bearing, returns the corner of the tile thats farthest
* along the bearing.
*
* @param {number} bearing angle in degrees (-180, 180]
* @returns {QuadCorner}
* @private
*/
export function furthestTileCorner(bearing: number): [number, number] {
const alignedBearing = ((bearing + 45) + 360) % 360;
const cornerIdx = Math.round(alignedBearing / 90) % 4;
return TILE_CORNERS[cornerIdx];
}
/**
* @module util
* @private
*/
/**
* Given a value `t` that varies between 0 and 1, return
* an interpolation function that eases between 0 and 1 in a pleasing
* cubic in-out fashion.
*
* @private
*/
export function easeCubicInOut(t: number): number {
if (t <= 0) return 0;
if (t >= 1) return 1;
const t2 = t * t,
t3 = t2 * t;
return 4 * (t < 0.5 ? t3 : 3 * (t - t2) + t3 - 0.75);
}
/**
* Computes an AABB for a set of points.
*
* @param {Point[]} points
* @returns {{ min: Point, max: Point}}
* @private
*/
export function getBounds(points: Point[]): { min: Point, max: Point} {
let minX = Infinity;
let minY = Infinity;
let maxX = -Infinity;
let maxY = -Infinity;
for (const p of points) {
minX = Math.min(minX, p.x);
minY = Math.min(minY, p.y);
maxX = Math.max(maxX, p.x);
maxY = Math.max(maxY, p.y);
}
return {
min: new Point(minX, minY),
max: new Point(maxX, maxY),
};
}
/**
* Returns the square of the 2D distance between an AABB defined by min and max and a point.
* If point is null or undefined, the AABB distance from the origin (0,0) is returned.
*
* @param {Point} min The minimum extent of the AABB.
* @param {Point} max The maximum extent of the AABB.
* @param {Point} [point] The point to compute the distance from, may be undefined.
* @returns {number} The square distance from the AABB, 0.0 if the AABB contains the point.
*/
export function getAABBPointSquareDist(min: Point, max: Point, point: ?Point): number {
let sqDist = 0.0;
for (let i = 0; i < 2; ++i) {
const v = point ? point[i] : 0.0;
assert(min[i] < max[i], 'Invalid aabb min and max inputs, min[i] must be < max[i].');
if (min[i] > v) sqDist += (min[i] - v) * (min[i] - v);
if (max[i] < v) sqDist += (v - max[i]) * (v - max[i]);
}
return sqDist;
}
/**
* Converts a AABB into a polygon with clockwise winding order.
*
* @param {Point} min The top left point.
* @param {Point} max The bottom right point.
* @param {number} [buffer=0] The buffer width.
* @param {boolean} [close=true] Whether to close the polygon or not.
* @returns {Point[]} The polygon.
*/
export function polygonizeBounds(min: Point, max: Point, buffer: number = 0, close: boolean = true): Point[] {
const offset = new Point(buffer, buffer);
const minBuf = min.sub(offset);
const maxBuf = max.add(offset);
const polygon = [minBuf, new Point(maxBuf.x, minBuf.y), maxBuf, new Point(minBuf.x, maxBuf.y)];
if (close) {
polygon.push(minBuf);
}
return polygon;
}
/**
* Takes a convex ring and expands it outward by applying a buffer around it.
* This function assumes that the ring is in clockwise winding order.
*
* @param {Point[]} ring The input ring.
* @param {number} buffer The buffer width.
* @returns {Point[]} The expanded ring.
*/
export function bufferConvexPolygon(ring: Point[], buffer: number): Point[] {
assert(ring.length > 2, 'bufferConvexPolygon requires the ring to have atleast 3 points');
const output = [];
for (let currIdx = 0; currIdx < ring.length; currIdx++) {
const prevIdx = wrap(currIdx - 1, -1, ring.length - 1);
const nextIdx = wrap(currIdx + 1, -1, ring.length - 1);
const prev = ring[prevIdx];
const curr = ring[currIdx];
const next = ring[nextIdx];
const p1 = prev.sub(curr).unit();
const p2 = next.sub(curr).unit();
const interiorAngle = p2.angleWithSep(p1.x, p1.y);
// Calcuate a vector that points in the direction of the angle bisector between two sides.
// Scale it based on a right angled triangle constructed at that corner.
const offset = p1.add(p2).unit().mult(-1 * buffer / Math.sin(interiorAngle / 2));
output.push(curr.add(offset));
}
return output;
}
/**
* Given given (x, y), (x1, y1) control points for a bezier curve,
* return a function that interpolates along that curve.
*
* @param p1x control point 1 x coordinate
* @param p1y control point 1 y coordinate
* @param p2x control point 2 x coordinate
* @param p2y control point 2 y coordinate
* @private
*/
export function bezier(p1x: number, p1y: number, p2x: number, p2y: number): (t: number) => number {
const bezier = new UnitBezier(p1x, p1y, p2x, p2y);
return function(t: number) {
return bezier.solve(t);
};
}
/**
* A default bezier-curve powered easing function with
* control points (0.25, 0.1) and (0.25, 1)
*
* @private
*/
export const ease = bezier(0.25, 0.1, 0.25, 1);
/**
* constrain n to the given range via min + max
*
* @param n value
* @param min the minimum value to be returned
* @param max the maximum value to be returned
* @returns the clamped value
* @private
*/
export function clamp(n: number, min: number, max: number): number {
return Math.min(max, Math.max(min, n));
}
/**
* Equivalent to GLSL smoothstep.
*
* @param {number} e0 The lower edge of the sigmoid
* @param {number} e1 The upper edge of the sigmoid
* @param {number} x the value to be interpolated
* @returns {number} in the range [0, 1]
* @private
*/
export function smoothstep(e0: number, e1: number, x: number): number {
x = clamp((x - e0) / (e1 - e0), 0, 1);
return x * x * (3 - 2 * x);
}
/**
* constrain n to the given range, excluding the minimum, via modular arithmetic
*
* @param n value
* @param min the minimum value to be returned, exclusive
* @param max the maximum value to be returned, inclusive
* @returns constrained number
* @private
*/
export function wrap(n: number, min: number, max: number): number {
const d = max - min;
const w = ((n - min) % d + d) % d + min;
return (w === min) ? max : w;
}
/*
* Call an asynchronous function on an array of arguments,
* calling `callback` with the completed results of all calls.
*
* @param array input to each call of the async function.
* @param fn an async function with signature (data, callback)
* @param callback a callback run after all async work is done.
* called with an array, containing the results of each async call.
* @private
*/
export function asyncAll<Item, Result>(
array: Array<Item>,
fn: (item: Item, fnCallback: Callback<Result>) => void,
callback: Callback<Array<Result>>
) {
if (!array.length) { return callback(null, []); }
let remaining = array.length;
const results = new Array(array.length);
let error = null;
array.forEach((item, i) => {
fn(item, (err, result) => {
if (err) error = err;
results[i] = ((result: any): Result); // https://github.com/facebook/flow/issues/2123
if (--remaining === 0) callback(error, results);
});
});
}
/*
* Polyfill for Object.values. Not fully spec compliant, but we don't
* need it to be.
*
* @private
*/
export function values<T>(obj: {[key: string]: T}): Array<T> {
const result = [];
for (const k in obj) {
result.push(obj[k]);
}
return result;
}
/*
* Compute the difference between the keys in one object and the keys
* in another object.
*
* @returns keys difference
* @private
*/
export function keysDifference<S, T>(obj: {[key: string]: S}, other: {[key: string]: T}): Array<string> {
const difference = [];
for (const i in obj) {
if (!(i in other)) {
difference.push(i);
}
}
return difference;
}
/**
* Given a destination object and optionally many source objects,
* copy all properties from the source objects into the destination.
* The last source object given overrides properties from previous
* source objects.
*
* @param dest destination object
* @param sources sources from which properties are pulled
* @private
*/
export function extend(dest: Object, ...sources: Array<?Object>): Object {
for (const src of sources) {
for (const k in src) {
dest[k] = src[k];
}
}
return dest;
}
/**
* Given an object and a number of properties as strings, return version
* of that object with only those properties.
*
* @param src the object
* @param properties an array of property names chosen
* to appear on the resulting object.
* @returns object with limited properties.
* @example
* var foo = { name: 'Charlie', age: 10 };
* var justName = pick(foo, ['name']);
* // justName = { name: 'Charlie' }
* @private
*/
export function pick(src: Object, properties: Array<string>): Object {
const result = {};
for (let i = 0; i < properties.length; i++) {
const k = properties[i];
if (k in src) {
result[k] = src[k];
}
}
return result;
}
let id = 1;
/**
* Return a unique numeric id, starting at 1 and incrementing with
* each call.
*
* @returns unique numeric id.
* @private
*/
export function uniqueId(): number {
return id++;
}
/**
* Return a random UUID (v4). Taken from: https://gist.github.com/jed/982883
* @private
*/
export function uuid(): string {
function b(a) {
return a ? (a ^ Math.random() * 16 >> a / 4).toString(16) :
//$FlowFixMe: Flow doesn't like the implied array literal conversion here
([1e7] + -[1e3] + -4e3 + -8e3 + -1e11).replace(/[018]/g, b);
}
return b();
}
/**
* Return whether a given value is a power of two
* @private
*/
export function isPowerOfTwo(value: number): boolean {
return (Math.log(value) / Math.LN2) % 1 === 0;
}
/**
* Return the next power of two, or the input value if already a power of two
* @private
*/
export function nextPowerOfTwo(value: number): number {
if (value <= 1) return 1;
return Math.pow(2, Math.ceil(Math.log(value) / Math.LN2));
}
/**
* Return the previous power of two, or the input value if already a power of two
* @private
*/
export function prevPowerOfTwo(value: number): number {
if (value <= 1) return 1;
return Math.pow(2, Math.floor(Math.log(value) / Math.LN2));
}
/**
* Validate a string to match UUID(v4) of the
* form: xxxxxxxx-xxxx-4xxx-[89ab]xxx-xxxxxxxxxxxx
* @param str string to validate.
* @private
*/
export function validateUuid(str: ?string): boolean {
return str ? /^[0-9a-f]{8}-[0-9a-f]{4}-[4][0-9a-f]{3}-[89ab][0-9a-f]{3}-[0-9a-f]{12}$/i.test(str) : false;
}
/**
* Given an array of member function names as strings, replace all of them
* with bound versions that will always refer to `context` as `this`. This
* is useful for classes where otherwise event bindings would reassign
* `this` to the evented object or some other value: this lets you ensure
* the `this` value always.
*
* @param fns list of member function names
* @param context the context value
* @example
* function MyClass() {
* bindAll(['ontimer'], this);
* this.name = 'Tom';
* }
* MyClass.prototype.ontimer = function() {
* alert(this.name);
* };
* var myClass = new MyClass();
* setTimeout(myClass.ontimer, 100);
* @private
*/
export function bindAll(fns: Array<string>, context: Object): void {
fns.forEach((fn) => {
if (!context[fn]) { return; }
context[fn] = context[fn].bind(context);
});
}
/**
* Determine if a string ends with a particular substring
*
* @private
*/
export function endsWith(string: string, suffix: string): boolean {
return string.indexOf(suffix, string.length - suffix.length) !== -1;
}
/**
* Create an object by mapping all the values of an existing object while
* preserving their keys.
*
* @private
*/
export function mapObject(input: Object, iterator: Function, context?: Object): Object {
const output = {};
for (const key in input) {
output[key] = iterator.call(context || this, input[key], key, input);
}
return output;
}
/**
* Create an object by filtering out values of an existing object.
*
* @private
*/
export function filterObject(input: Object, iterator: Function, context?: Object): Object {
const output = {};
for (const key in input) {
if (iterator.call(context || this, input[key], key, input)) {
output[key] = input[key];
}
}
return output;
}
import deepEqual from '../style-spec/util/deep_equal.js';
export {deepEqual};
/**
* Deeply clones two objects.
*
* @private
*/
export function clone<T>(input: T): T {
if (Array.isArray(input)) {
return input.map(clone);
} else if (typeof input === 'object' && input) {
return ((mapObject(input, clone): any): T);
} else {
return input;
}
}
/**
* Check if two arrays have at least one common element.
*
* @private
*/
export function arraysIntersect<T>(a: Array<T>, b: Array<T>): boolean {
for (let l = 0; l < a.length; l++) {
if (b.indexOf(a[l]) >= 0) return true;
}
return false;
}
/**
* Print a warning message to the console and ensure duplicate warning messages
* are not printed.
*
* @private
*/
const warnOnceHistory: {[key: string]: boolean} = {};
export function warnOnce(message: string): void {
if (!warnOnceHistory[message]) {
// console isn't defined in some WebWorkers, see #2558
if (typeof console !== "undefined") console.warn(message);
warnOnceHistory[message] = true;
}
}
/**
* Indicates if the provided Points are in a counter clockwise (true) or clockwise (false) order
*
* @private
* @returns true for a counter clockwise set of points
*/
// http://bryceboe.com/2006/10/23/line-segment-intersection-algorithm/
export function isCounterClockwise(a: Point, b: Point, c: Point): boolean {
return (c.y - a.y) * (b.x - a.x) > (b.y - a.y) * (c.x - a.x);
}
/**
* Returns the signed area for the polygon ring. Postive areas are exterior rings and
* have a clockwise winding. Negative areas are interior rings and have a counter clockwise
* ordering.
*
* @private
* @param ring Exterior or interior ring
*/
export function calculateSignedArea(ring: Array<Point>): number {
let sum = 0;
for (let i = 0, len = ring.length, j = len - 1, p1, p2; i < len; j = i++) {
p1 = ring[i];
p2 = ring[j];
sum += (p2.x - p1.x) * (p1.y + p2.y);
}
return sum;
}
/**
* Detects closed polygons, first + last point are equal
*
* @private
* @param points array of points
* @return true if the points are a closed polygon
*/
export function isClosedPolygon(points: Array<Point>): boolean {
// If it is 2 points that are the same then it is a point
// If it is 3 points with start and end the same then it is a line
if (points.length < 4)
return false;
const p1 = points[0];
const p2 = points[points.length - 1];
if (Math.abs(p1.x - p2.x) > 0 ||
Math.abs(p1.y - p2.y) > 0) {
return false;
}
// polygon simplification can produce polygons with zero area and more than 3 points
return Math.abs(calculateSignedArea(points)) > 0.01;
}
/* global self, WorkerGlobalScope */
/**
* Returns true if run in the web-worker context.
*
* @private
* @returns {boolean}
*/
export function isWorker(): boolean {
return typeof WorkerGlobalScope !== 'undefined' && typeof self !== 'undefined' &&
self instanceof WorkerGlobalScope;
}
/**
* Parses data from 'Cache-Control' headers.
*
* @private
* @param cacheControl Value of 'Cache-Control' header
* @return object containing parsed header info.
*/
export function parseCacheControl(cacheControl: string): Object {
// Taken from [Wreck](https://github.com/hapijs/wreck)
const re = /(?:^|(?:\s*\,\s*))([^\x00-\x20\(\)<>@\,;\:\\"\/\[\]\?\=\{\}\x7F]+)(?:\=(?:([^\x00-\x20\(\)<>@\,;\:\\"\/\[\]\?\=\{\}\x7F]+)|(?:\"((?:[^"\\]|\\.)*)\")))?/g;
const header = {};
cacheControl.replace(re, ($0, $1, $2, $3) => {
const value = $2 || $3;
header[$1] = value ? value.toLowerCase() : true;
return '';
});
if (header['max-age']) {
const maxAge = parseInt(header['max-age'], 10);
if (isNaN(maxAge)) delete header['max-age'];
else header['max-age'] = maxAge;
}
return header;
}
let _isSafari = null;
/**
* Returns true when run in WebKit derived browsers.
* This is used as a workaround for a memory leak in Safari caused by using Transferable objects to
* transfer data between WebWorkers and the main thread.
* https://github.com/mapbox/mapbox-gl-js/issues/8771
*
* This should be removed once the underlying Safari issue is fixed.
*
* @private
* @param scope {WindowOrWorkerGlobalScope} Since this function is used both on the main thread and WebWorker context,
* let the calling scope pass in the global scope object.
* @returns {boolean}
*/
export function isSafari(scope: any): boolean {
if (_isSafari == null) {
const userAgent = scope.navigator ? scope.navigator.userAgent : null;
_isSafari = !!scope.safari ||
!!(userAgent && (/\b(iPad|iPhone|iPod)\b/.test(userAgent) || (!!userAgent.match('Safari') && !userAgent.match('Chrome'))));
}
return _isSafari;
}
export function storageAvailable(type: string): boolean {
try {
const storage = window[type];
storage.setItem('_mapbox_test_', 1);
storage.removeItem('_mapbox_test_');
return true;
} catch (e) {
return false;
}
}
// The following methods are from https://developer.mozilla.org/en-US/docs/Web/API/WindowBase64/Base64_encoding_and_decoding#The_Unicode_Problem
//Unicode compliant base64 encoder for strings
export function b64EncodeUnicode(str: string) {
return window.btoa(
encodeURIComponent(str).replace(/%([0-9A-F]{2})/g,
(match, p1) => {
return String.fromCharCode(Number('0x' + p1)); //eslint-disable-line
}
)
);
}
// Unicode compliant decoder for base64-encoded strings
export function b64DecodeUnicode(str: string) {
return decodeURIComponent(window.atob(str).split('').map((c) => {
return '%' + ('00' + c.charCodeAt(0).toString(16)).slice(-2); //eslint-disable-line
}).join(''));
}