2019-03-21 09:57:27 +01:00
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/* globals WebKitPoint */
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/** Tests whether an object is empty
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* @param {Object} obj - the object to be tested
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* @return {boolean}
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*/
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export function isEmpty(obj) {
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// > isEmpty({})
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// true
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for (let i in obj) {
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return false
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}
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return true
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}
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/** Returns a universal unique id
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* @return {string}
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* See https://stackoverflow.com/questions/105034/create-guid-uuid-in-javascript/21963136#21963136
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*/
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export function uuid() {
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return 'xxxxxxxx-xxxx-4xxx-yxxx-xxxxxxxxxxxx'.replace(/[xy]/g, c => {
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let r = (Math.random() * 16) | 0,
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v = c == 'x' ? r : (r & 0x3) | 0x8
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return v.toString(16)
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})
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}
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export function lerp(start, stop, amt) {
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return amt * (stop - start) + start
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}
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export function sample(population, k) {
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/*
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From https://stackoverflow.com/questions/19269545/how-to-get-n-no-elements-randomly-from-an-array/38571132
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Chooses k unique random elements from a population sequence or set.
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Returns a new list containing elements from the population while
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leaving the original population unchanged. The resulting list is
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in selection order so that all sub-slices will also be valid random
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samples. This allows raffle winners (the sample) to be partitioned
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into grand prize and second place winners (the subslices).
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Members of the population need not be hashable or unique. If the
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population contains repeats, then each occurrence is a possible
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selection in the sample.
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To choose a sample in a range of integers, use range as an argument.
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This is especially fast and space efficient for sampling from a
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large population: sample(range(10000000), 60)
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Sampling without replacement entails tracking either potential
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selections (the pool) in a list or previous selections in a set.
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When the number of selections is small compared to the
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population, then tracking selections is efficient, requiring
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only a small set and an occasional reselection. For
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a larger number of selections, the pool tracking method is
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preferred since the list takes less space than the
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set and it doesn't suffer from frequent reselections.
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*/
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if (!Array.isArray(population))
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throw new TypeError("Population must be an array.")
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let n = population.length
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if (k < 0 || k > n)
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throw new RangeError("Sample larger than population or is negative")
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let result = new Array(k)
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let setsize = 21 // size of a small set minus size of an empty list
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if (k > 5)
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setsize += Math.pow(4, Math.ceil(Math.log(k * 3, 4)))
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if (n <= setsize) {
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// An n-length list is smaller than a k-length set
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let pool = population.slice()
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for (let i = 0; i < k; i++) { // invariant: non-selected at [0,n-i)
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let j = Math.random() * (n - i) | 0
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result[i] = pool[j]
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pool[j] = pool[n - i - 1] // move non-selected item into vacancy
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}
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} else {
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let selected = new Set()
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for (let i = 0; i < k; i++) {
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let j = Math.random() * (n - i) | 0
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while (selected.has(j)) {
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j = Math.random() * (n - i) | 0
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}
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selected.add(j)
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result[i] = population[j]
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}
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}
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return result
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}
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// Returns a function, that, as long as it continues to be invoked, will not
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// be triggered. The function will be called after it stops being called for
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// N milliseconds. If `immediate` is passed, trigger the function on the
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// leading edge, instead of the trailing.
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// Taken from: https://davidwalsh.name/essential-javascript-functions
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export function debounce(func, wait, immediate) {
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let timeout
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return function () {
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let context = this,
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args = arguments
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let later = function () {
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timeout = null
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if (!immediate) func.apply(context, args)
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}
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let callNow = immediate && !timeout
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clearTimeout(timeout)
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timeout = setTimeout(later, wait)
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if (callNow) func.apply(context, args)
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}
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}
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/** Returns an id that is guaranteed to be unique within the livetime of the
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* application
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* @return {string}
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*/
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let _idGenerator = 0
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export function getId() {
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return 'id' + _idGenerator++
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}
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export function randomInt(min = 0, max = 100) {
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return Math.floor(Math.random() * (max - min + 1) + min)
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}
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export function randomFloat(min = 0.0, max = 1.0) {
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return Math.random() * (max - min) + min
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}
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export class Dates {
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static create(fullYear, month, day) {
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return new Date(Date.UTC(fullYear, month, day))
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}
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static daysInMonth(date) {
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return new Date(date.getFullYear(), date.getMonth() + 1, 0).getDate()
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}
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static startYearRange(date) {
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return new Date(Date.UTC(date.getFullYear() - 1, 11, 31, 23, 59, 59, 999))
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}
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static endYearRange(date) {
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return new Date(Date.UTC(date.getFullYear() + 1, 0, 1))
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}
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static prevYear(date, offset = 1) {
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return this.create(date.getFullYear() - offset, 0, 1)
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}
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static nextYear(date, offset = 1) {
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return this.create(date.getFullYear() + offset, 0, 1)
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}
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static nextMonth(date) {
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return this.create(date.getFullYear(), date.getMonth() + 1, 1)
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}
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static nextDay(date) {
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return this.create(
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date.getFullYear(),
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date.getMonth(),
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date.getDate() + 1
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)
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}
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static nextHour(date) {
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// See http://stackoverflow.com/questions/1050720/adding-hours-to-javascript-date-object
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return new Date(date.getTime() + 60 * 60 * 1000)
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}
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static nextMinute(date) {
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// See above
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return new Date(date.getTime() + 60 * 1000)
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}
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static nextSecond(date) {
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// See above
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return new Date(date.getTime() + 1000)
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}
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static nextMillisecond(date) {
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// See above
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return new Date(date.getTime() + 1)
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}
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static *iterYears(start, end) {
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let date = this.create(start.getFullYear(), 0, 1)
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while (date <= end) {
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yield date
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date = this.nextYear(date)
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}
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yield date
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}
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static *iterMonths(year, limit = 12) {
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let month = 0
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while (month < limit) {
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let date = this.create(year.getFullYear(), month, 1)
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yield date
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month += 1
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}
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}
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static *iterMonthsOfYears(years) {
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for (let year of years) {
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for (let month of this.iterMonths(year)) {
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yield month
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}
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}
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}
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static *iterDays(month) {
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let day = 1
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let limit = Dates.daysInMonth(month)
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while (day <= limit) {
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let date = this.create(month.getFullYear(), month.getMonth(), day)
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yield date
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day += 1
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}
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}
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static *iterDaysOfMonths(months) {
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for (let month of months) {
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for (let day of this.iterDays(month)) {
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yield day
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}
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}
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}
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}
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/* Color conversion functions */
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export class Colors {
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// http://stackoverflow.com/questions/5623838/rgb-to-hex-and-hex-to-rgb
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static rgb2num(red, green, blue) {
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let rgb = blue | (green << 8) | (red << 16)
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return 0x000000 + rgb
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}
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static rgb2hex(red, green, blue) {
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let rgb = blue | (green << 8) | (red << 16)
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return '#' + (0x1000000 + rgb).toString(16).slice(1)
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}
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static hex2rgb(hex) {
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// long version
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let r = hex.match(/^#([0-9a-f]{2})([0-9a-f]{2})([0-9a-f]{2})$/i)
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if (r) {
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return r.slice(1, 4).map(x => {
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return parseInt(x, 16)
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})
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}
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// short version
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r = hex.match(/^#([0-9a-f])([0-9a-f])([0-9a-f])$/i)
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if (r) {
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return r.slice(1, 4).map(x => {
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return 0x11 * parseInt(x, 16)
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})
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}
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return null
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}
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static rgb(r, g, b) {
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return { r, g, b }
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}
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static string2hex(str) {
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return parseInt('0x' + str.slice(1))
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}
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static lerp(rgb1, rgb2, amount) {
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return {
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r: Math.round(lerp(rgb1.r, rgb2.r, amount)),
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g: Math.round(lerp(rgb1.g, rgb2.g, amount)),
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b: Math.round(lerp(rgb1.b, rgb2.b, amount))
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}
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}
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static get violet() {
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return Colors.rgb2num(89, 34, 131)
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}
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static get steelblue() {
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return Colors.rgb2num(0, 130, 164)
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}
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static get ochre() {
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return Colors.rgb2num(181, 157, 0)
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}
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static get turquoise() {
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return Colors.rgb2num(34, 164, 131)
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}
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static get eminence() {
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return Colors.rgb2num(150, 60, 134)
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}
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static random() {
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let r = Math.round(Math.random() * 255)
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let g = Math.round(Math.random() * 255)
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let b = Math.round(Math.random() * 255)
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return Colors.rgb2num(r, g, b)
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}
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}
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export class Cycle extends Array {
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constructor(...items) {
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super()
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for (let item of items) {
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this.push(item)
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}
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this.index = 0
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}
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next() {
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if (this.index == this.length) {
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this.index = 0
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}
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return this[this.index++]
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}
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current() {
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if (this.index === this.length) {
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this.index = 0
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}
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return this[this.index]
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}
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}
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/** Static methods to compute 2D points with x and y coordinates.
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*/
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export class Points {
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static length(a) {
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return Math.sqrt(a.x * a.x + a.y * a.y)
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}
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static normalize(p) {
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let len = this.length(p)
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return this.multiplyScalar(p, 1 / len)
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}
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static mean(a, b) {
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return { x: (a.x + b.x) / 2, y: (a.y + b.y) / 2 }
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}
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static subtract(a, b) {
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return { x: a.x - b.x, y: a.y - b.y }
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}
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static multiply(a, b) {
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return { x: a.x * b.x, y: a.y * b.y }
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}
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static divide(a, b) {
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return { x: a.x / b.x, y: a.y / b.y }
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}
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static multiplyScalar(a, b) {
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return { x: a.x * b, y: a.y * b }
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}
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static add(a, b) {
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return { x: a.x + b.x, y: a.y + b.y }
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}
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static negate(p) {
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return { x: -p.x, y: -p.y }
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}
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static angle(p1, p2) {
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return Math.atan2(p1.y - p2.y, p1.x - p2.x)
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}
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static normalizedAngle(p1, p2) {
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return Angle.normalize(this.angle(p1, p2))
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}
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static normalized2Angle(p1, p2) {
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return Angle.normalize2(this.angle(p1, p2))
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}
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static arc(p, alpha, radius) {
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return {
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x: p.x + radius * Math.cos(alpha),
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y: p.y + radius * Math.sin(alpha)
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}
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|
|
}
|
|
|
|
|
|
|
|
static distance(a, b) {
|
|
|
|
let dx = a.x - b.x
|
|
|
|
let dy = a.y - b.y
|
|
|
|
return Math.sqrt(dx * dx + dy * dy)
|
|
|
|
}
|
|
|
|
|
2019-07-05 13:43:39 +02:00
|
|
|
// Distance == 0.0 indicates an inside relation.
|
|
|
|
static distanceToRect(p, r) {
|
|
|
|
var cx = Math.max(Math.min(p.x, r.x + r.width), r.x)
|
|
|
|
var cy = Math.max(Math.min(p.y, r.y + r.height), r.y)
|
|
|
|
return Math.sqrt((p.x - cx) * (p.x - cx) + (p.y - cy) * (p.y - cy))
|
|
|
|
}
|
|
|
|
|
2019-03-21 09:57:27 +01:00
|
|
|
static fromPageToNode(element, p) {
|
|
|
|
// if (window.webkitConvertPointFromPageToNode) {
|
|
|
|
// return window.webkitConvertPointFromPageToNode(element,
|
|
|
|
// new WebKitPoint(p.x, p.y))
|
|
|
|
// }
|
|
|
|
return window.convertPointFromPageToNode(element, p.x, p.y)
|
|
|
|
}
|
|
|
|
|
|
|
|
static fromNodeToPage(element, p) {
|
|
|
|
// if (window.webkitConvertPointFromNodeToPage) {
|
|
|
|
// return window.webkitConvertPointFromNodeToPage(element,
|
|
|
|
// new WebKitPoint(p.x, p.y))
|
|
|
|
// }
|
|
|
|
return window.convertPointFromNodeToPage(element, p.x, p.y)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
* A helper class for common set operations.
|
|
|
|
*
|
|
|
|
* @export
|
|
|
|
* @class Sets
|
|
|
|
*/
|
|
|
|
export class Sets {
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Returns the intersection of all sets
|
|
|
|
* https://stackoverflow.com/questions/31930894/javascript-set-data-structure-intersect
|
|
|
|
* @static
|
|
|
|
* @param {*} sets
|
|
|
|
* @returns
|
|
|
|
* @memberof Sets
|
|
|
|
*/
|
|
|
|
static intersect(...sets) {
|
|
|
|
if (!sets.length) return new Set()
|
|
|
|
const i = sets.reduce((m, s, i) => s.size < sets[m].size ? i : m, 0)
|
|
|
|
const [smallest] = sets.splice(i, 1)
|
|
|
|
const res = new Set()
|
|
|
|
for (let val of smallest)
|
|
|
|
if (sets.every(s => s.has(val)))
|
|
|
|
res.add(val)
|
|
|
|
return res
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Returns the union of all sets
|
|
|
|
*
|
|
|
|
* @static
|
|
|
|
* @param {*} sets
|
|
|
|
* @returns
|
|
|
|
* @memberof Sets
|
|
|
|
*/
|
|
|
|
static union(...sets) {
|
|
|
|
let result = new Set()
|
|
|
|
for (let set of sets) {
|
|
|
|
for (let m of set) {
|
|
|
|
result.add(m)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return result
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Returns the difference of the given sets. Starts with the first set and removing all elements of the following sets.
|
|
|
|
*
|
|
|
|
* @static
|
|
|
|
* @param {*} set
|
|
|
|
* @param {*} sets
|
|
|
|
* @returns
|
|
|
|
* @memberof Sets
|
|
|
|
*/
|
|
|
|
static difference(set, ...sets) {
|
|
|
|
let result = new Set()
|
|
|
|
for (let m of set) {
|
|
|
|
result.add(m)
|
|
|
|
}
|
|
|
|
for (let s of sets) {
|
|
|
|
for (let m of s) {
|
|
|
|
result.delete(m)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return result
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/** Static methods to compute angles.
|
|
|
|
*/
|
|
|
|
export class Angle {
|
|
|
|
|
|
|
|
static normalize(angle) {
|
|
|
|
let TAU = Math.PI * 2.0
|
|
|
|
while (angle > Math.PI) {
|
|
|
|
angle -= TAU
|
|
|
|
}
|
|
|
|
while (angle < -Math.PI) {
|
|
|
|
angle += TAU
|
|
|
|
}
|
|
|
|
return angle
|
|
|
|
}
|
|
|
|
|
|
|
|
static normalize2(angle) {
|
|
|
|
let TAU = Math.PI * 2.0
|
|
|
|
while (angle > TAU) {
|
|
|
|
angle -= TAU
|
|
|
|
}
|
|
|
|
while (angle < 0) {
|
|
|
|
angle += TAU
|
|
|
|
}
|
|
|
|
return angle
|
|
|
|
}
|
|
|
|
|
|
|
|
static normalizeDegree(angle) {
|
|
|
|
let full = 360.0
|
|
|
|
while (angle > 180.0) {
|
|
|
|
angle -= full
|
|
|
|
}
|
|
|
|
while (angle < -180.0) {
|
|
|
|
angle += full
|
|
|
|
}
|
|
|
|
return angle
|
|
|
|
}
|
|
|
|
|
|
|
|
static normalizedDiff(a, b) {
|
|
|
|
return this.normalize(this.diff(a, b))
|
|
|
|
}
|
|
|
|
|
|
|
|
static normalized2Diff(a, b) {
|
|
|
|
return this.normalize2(this.diff(a, b))
|
|
|
|
}
|
|
|
|
|
|
|
|
static diff(a, b) {
|
|
|
|
return Math.atan2(Math.sin(a - b), Math.cos(a - b))
|
|
|
|
}
|
|
|
|
|
|
|
|
static degree2radian(degree) {
|
|
|
|
return Math.PI * degree / 180.0
|
|
|
|
}
|
|
|
|
|
|
|
|
static radian2degree(rad) {
|
|
|
|
return 180.0 / Math.PI * rad
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
export class Elements {
|
|
|
|
static setStyle(element, styles) {
|
|
|
|
for (let key in styles) {
|
|
|
|
element.style[key] = styles[key]
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
static addClass(element, cssClass) {
|
|
|
|
element.classList.add(cssClass)
|
|
|
|
}
|
|
|
|
|
|
|
|
static removeClass(element, cssClass) {
|
|
|
|
element.classList.remove(cssClass)
|
|
|
|
}
|
|
|
|
|
|
|
|
static toggleClass(element, cssClass) {
|
|
|
|
element.classList.toggle(cssClass)
|
|
|
|
}
|
|
|
|
|
|
|
|
static hasClass(element, cssClass) {
|
|
|
|
return element.classList.contains(cssClass)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
export class MapProxy {
|
|
|
|
/* This class is needed if we want to use the interaction classes
|
|
|
|
in Firefox 45.8 and modern Browsers.
|
|
|
|
|
|
|
|
A workaround for https://github.com/babel/babel/issues/2334
|
|
|
|
*/
|
|
|
|
constructor() {
|
|
|
|
this.map = new Map()
|
|
|
|
}
|
|
|
|
|
|
|
|
get size() {
|
|
|
|
return this.map.size
|
|
|
|
}
|
|
|
|
|
|
|
|
get(key) {
|
|
|
|
return this.map.get(key)
|
|
|
|
}
|
|
|
|
|
|
|
|
set(key, value) {
|
|
|
|
return this.map.set(key, value)
|
|
|
|
}
|
|
|
|
|
|
|
|
delete(key) {
|
|
|
|
return this.map.delete(key)
|
|
|
|
}
|
|
|
|
|
|
|
|
clear() {
|
|
|
|
return this.map.clear()
|
|
|
|
}
|
|
|
|
|
|
|
|
has(key) {
|
|
|
|
return this.map.has(key)
|
|
|
|
}
|
|
|
|
|
|
|
|
keys() {
|
|
|
|
return this.map.keys()
|
|
|
|
}
|
|
|
|
|
|
|
|
values() {
|
|
|
|
return this.map.values()
|
|
|
|
}
|
|
|
|
|
|
|
|
entries() {
|
|
|
|
return this.map.entries()
|
|
|
|
}
|
|
|
|
|
|
|
|
forEach(func) {
|
|
|
|
this.map.forEach(func)
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Based om https://gist.github.com/cwleonard/e124d63238bda7a3cbfa */
|
|
|
|
export class Polygon {
|
|
|
|
/*
|
|
|
|
* This is the Polygon constructor. All points are center-relative.
|
|
|
|
*/
|
|
|
|
constructor(center) {
|
|
|
|
this.points = new Array()
|
|
|
|
this.center = center
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Point x and y values should be relative to the center.
|
|
|
|
*/
|
|
|
|
addPoint(p) {
|
|
|
|
this.points.push(p)
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Point x and y values should be absolute coordinates.
|
|
|
|
*/
|
|
|
|
addAbsolutePoint(p) {
|
|
|
|
this.points.push({ x: p.x - this.center.x, y: p.y - this.center.y })
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Returns the number of sides. Equal to the number of vertices.
|
|
|
|
*/
|
|
|
|
getNumberOfSides() {
|
|
|
|
return this.points.length
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* rotate the polygon by a number of radians
|
|
|
|
*/
|
|
|
|
rotate(rads) {
|
|
|
|
for (let i = 0; i < this.points.length; i++) {
|
|
|
|
let x = this.points[i].x
|
|
|
|
let y = this.points[i].y
|
|
|
|
this.points[i].x = Math.cos(rads) * x - Math.sin(rads) * y
|
|
|
|
this.points[i].y = Math.sin(rads) * x + Math.cos(rads) * y
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* The draw function takes as a parameter a Context object from
|
|
|
|
* a Canvas element and draws the polygon on it.
|
|
|
|
*/
|
|
|
|
draw(context, { lineWidth = 2, stroke = '#000000', fill = null } = {}) {
|
|
|
|
context.beginPath()
|
|
|
|
context.moveTo(
|
|
|
|
this.points[0].x + this.center.x,
|
|
|
|
this.points[0].y + this.center.y
|
|
|
|
)
|
|
|
|
for (let i = 1; i < this.points.length; i++) {
|
|
|
|
context.lineTo(
|
|
|
|
this.points[i].x + this.center.x,
|
|
|
|
this.points[i].y + this.center.y
|
|
|
|
)
|
|
|
|
}
|
|
|
|
context.closePath()
|
|
|
|
context.lineWidth = lineWidth
|
|
|
|
if (stroke) {
|
|
|
|
context.strokeStyle = stroke
|
|
|
|
context.stroke()
|
|
|
|
}
|
|
|
|
if (fill) {
|
|
|
|
context.fillStyle = fill
|
|
|
|
context.fill()
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
absolutePoints() {
|
|
|
|
let result = new Array()
|
|
|
|
for (let p of this.points) {
|
|
|
|
result.push(Points.add(p, this.center))
|
|
|
|
}
|
|
|
|
return result
|
|
|
|
}
|
|
|
|
|
|
|
|
flatAbsolutePoints() {
|
|
|
|
let result = new Array()
|
|
|
|
for (let p of this.points) {
|
|
|
|
let a = Points.add(p, this.center)
|
|
|
|
result.push(a.x)
|
|
|
|
result.push(a.y)
|
|
|
|
}
|
|
|
|
return result
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* This function returns true if the given point is inside the polygon,
|
|
|
|
* and false otherwise.
|
|
|
|
*/
|
|
|
|
containsPoint(pnt) {
|
|
|
|
let nvert = this.points.length
|
|
|
|
let testx = pnt.x
|
|
|
|
let testy = pnt.y
|
|
|
|
|
|
|
|
let vertx = new Array()
|
|
|
|
for (let q = 0; q < this.points.length; q++) {
|
|
|
|
vertx.push(this.points[q].x + this.center.x)
|
|
|
|
}
|
|
|
|
|
|
|
|
let verty = new Array()
|
|
|
|
for (let w = 0; w < this.points.length; w++) {
|
|
|
|
verty.push(this.points[w].y + this.center.y)
|
|
|
|
}
|
|
|
|
|
|
|
|
let i,
|
|
|
|
j = 0
|
|
|
|
let c = false
|
|
|
|
for (i = 0, j = nvert - 1; i < nvert; j = i++) {
|
|
|
|
if (
|
|
|
|
verty[i] > testy != verty[j] > testy &&
|
|
|
|
testx <
|
|
|
|
(vertx[j] - vertx[i]) *
|
|
|
|
(testy - verty[i]) /
|
|
|
|
(verty[j] - verty[i]) +
|
|
|
|
vertx[i]
|
|
|
|
)
|
|
|
|
c = !c
|
|
|
|
}
|
|
|
|
return c
|
|
|
|
}
|
|
|
|
|
|
|
|
multiplyScalar(scale) {
|
|
|
|
let center = Points.multiplyScalar(this.center, scale)
|
|
|
|
let clone = new Polygon(center)
|
|
|
|
for (let p of this.points) {
|
|
|
|
clone.addPoint(Points.multiplyScalar(p, scale))
|
|
|
|
}
|
|
|
|
return clone
|
|
|
|
}
|
|
|
|
|
|
|
|
/*
|
|
|
|
* To detect intersection with another Polygon object, this
|
|
|
|
* function uses the Separating Axis Theorem. It returns false
|
|
|
|
* if there is no intersection, or an object if there is. The object
|
|
|
|
* contains 2 fields, overlap and axis. Moving the polygon by overlap
|
|
|
|
* on axis will get the polygons out of intersection.
|
|
|
|
*/
|
|
|
|
intersectsWith(other) {
|
|
|
|
let axis = { x: 0, y: 0 }
|
|
|
|
let tmp, minA, maxA, minB, maxB
|
|
|
|
let side, i
|
|
|
|
let smallest = null
|
|
|
|
let overlap = 99999999
|
|
|
|
|
|
|
|
/* test polygon A's sides */
|
|
|
|
for (side = 0; side < this.getNumberOfSides(); side++) {
|
|
|
|
/* get the axis that we will project onto */
|
|
|
|
if (side == 0) {
|
|
|
|
axis.x =
|
|
|
|
this.points[this.getNumberOfSides() - 1].y -
|
|
|
|
this.points[0].y
|
|
|
|
axis.y =
|
|
|
|
this.points[0].x -
|
|
|
|
this.points[this.getNumberOfSides() - 1].x
|
|
|
|
} else {
|
|
|
|
axis.x = this.points[side - 1].y - this.points[side].y
|
|
|
|
axis.y = this.points[side].x - this.points[side - 1].x
|
|
|
|
}
|
|
|
|
|
|
|
|
/* normalize the axis */
|
|
|
|
tmp = Math.sqrt(axis.x * axis.x + axis.y * axis.y)
|
|
|
|
axis.x /= tmp
|
|
|
|
axis.y /= tmp
|
|
|
|
|
|
|
|
/* project polygon A onto axis to determine the min/max */
|
|
|
|
minA = maxA = this.points[0].x * axis.x + this.points[0].y * axis.y
|
|
|
|
for (i = 1; i < this.getNumberOfSides(); i++) {
|
|
|
|
tmp = this.points[i].x * axis.x + this.points[i].y * axis.y
|
|
|
|
if (tmp > maxA) maxA = tmp
|
|
|
|
else if (tmp < minA) minA = tmp
|
|
|
|
}
|
|
|
|
/* correct for offset */
|
|
|
|
tmp = this.center.x * axis.x + this.center.y * axis.y
|
|
|
|
minA += tmp
|
|
|
|
maxA += tmp
|
|
|
|
|
|
|
|
/* project polygon B onto axis to determine the min/max */
|
|
|
|
minB = maxB =
|
|
|
|
other.points[0].x * axis.x + other.points[0].y * axis.y
|
|
|
|
for (i = 1; i < other.getNumberOfSides(); i++) {
|
|
|
|
tmp = other.points[i].x * axis.x + other.points[i].y * axis.y
|
|
|
|
if (tmp > maxB) maxB = tmp
|
|
|
|
else if (tmp < minB) minB = tmp
|
|
|
|
}
|
|
|
|
/* correct for offset */
|
|
|
|
tmp = other.center.x * axis.x + other.center.y * axis.y
|
|
|
|
minB += tmp
|
|
|
|
maxB += tmp
|
|
|
|
|
|
|
|
/* test if lines intersect, if not, return false */
|
|
|
|
if (maxA < minB || minA > maxB) {
|
|
|
|
return false
|
|
|
|
} else {
|
|
|
|
let o = maxA > maxB ? maxB - minA : maxA - minB
|
|
|
|
if (o < overlap) {
|
|
|
|
overlap = o
|
|
|
|
smallest = { x: axis.x, y: axis.y }
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* test polygon B's sides */
|
|
|
|
for (side = 0; side < other.getNumberOfSides(); side++) {
|
|
|
|
/* get the axis that we will project onto */
|
|
|
|
if (side == 0) {
|
|
|
|
axis.x =
|
|
|
|
other.points[other.getNumberOfSides() - 1].y -
|
|
|
|
other.points[0].y
|
|
|
|
axis.y =
|
|
|
|
other.points[0].x -
|
|
|
|
other.points[other.getNumberOfSides() - 1].x
|
|
|
|
} else {
|
|
|
|
axis.x = other.points[side - 1].y - other.points[side].y
|
|
|
|
axis.y = other.points[side].x - other.points[side - 1].x
|
|
|
|
}
|
|
|
|
|
|
|
|
/* normalize the axis */
|
|
|
|
tmp = Math.sqrt(axis.x * axis.x + axis.y * axis.y)
|
|
|
|
axis.x /= tmp
|
|
|
|
axis.y /= tmp
|
|
|
|
|
|
|
|
/* project polygon A onto axis to determine the min/max */
|
|
|
|
minA = maxA = this.points[0].x * axis.x + this.points[0].y * axis.y
|
|
|
|
for (i = 1; i < this.getNumberOfSides(); i++) {
|
|
|
|
tmp = this.points[i].x * axis.x + this.points[i].y * axis.y
|
|
|
|
if (tmp > maxA) maxA = tmp
|
|
|
|
else if (tmp < minA) minA = tmp
|
|
|
|
}
|
|
|
|
/* correct for offset */
|
|
|
|
tmp = this.center.x * axis.x + this.center.y * axis.y
|
|
|
|
minA += tmp
|
|
|
|
maxA += tmp
|
|
|
|
|
|
|
|
/* project polygon B onto axis to determine the min/max */
|
|
|
|
minB = maxB =
|
|
|
|
other.points[0].x * axis.x + other.points[0].y * axis.y
|
|
|
|
for (i = 1; i < other.getNumberOfSides(); i++) {
|
|
|
|
tmp = other.points[i].x * axis.x + other.points[i].y * axis.y
|
|
|
|
if (tmp > maxB) maxB = tmp
|
|
|
|
else if (tmp < minB) minB = tmp
|
|
|
|
}
|
|
|
|
/* correct for offset */
|
|
|
|
tmp = other.center.x * axis.x + other.center.y * axis.y
|
|
|
|
minB += tmp
|
|
|
|
maxB += tmp
|
|
|
|
|
|
|
|
/* test if lines intersect, if not, return false */
|
|
|
|
if (maxA < minB || minA > maxB) {
|
|
|
|
return false
|
|
|
|
} else {
|
|
|
|
let o = maxA > maxB ? maxB - minA : maxA - minB
|
|
|
|
if (o < overlap) {
|
|
|
|
overlap = o
|
|
|
|
smallest = { x: axis.x, y: axis.y }
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return { overlap: overlap + 0.001, axis: smallest }
|
|
|
|
}
|
|
|
|
|
|
|
|
static fromPoints(points) {
|
|
|
|
let min = { x: Number.MAX_VALUE, y: Number.MAX_VALUE }
|
|
|
|
let max = { x: Number.MIN_VALUE, y: Number.MIN_VALUE }
|
|
|
|
for (let p of points) {
|
|
|
|
min.x = Math.min(p.x, min.x)
|
|
|
|
max.x = Math.max(p.x, max.x)
|
|
|
|
min.y = Math.min(p.y, min.y)
|
|
|
|
max.y = Math.max(p.y, max.y)
|
|
|
|
}
|
|
|
|
let center = Points.mean(min, max)
|
|
|
|
let polygon = new Polygon(center)
|
|
|
|
for (let p of points) {
|
|
|
|
polygon.addAbsolutePoint(p)
|
|
|
|
}
|
|
|
|
return polygon
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Util functions to deal with DOMRects.
|
|
|
|
*/
|
|
|
|
export class Rect {
|
|
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
* Test if a given point is contained by the provided Rect.
|
|
|
|
*
|
|
|
|
* @static
|
|
|
|
* @param {DOMRect} rect - Rectangle to check the collision with.
|
|
|
|
* @param {Point} point - Point that should be tested.
|
|
|
|
* @returns {boolean} - True if point is inside of rect, otherwise false.
|
|
|
|
* @memberof Rect
|
|
|
|
*/
|
|
|
|
static contains(rect, point) {
|
|
|
|
return (point.x > rect.left &&
|
|
|
|
point.x < rect.x + rect.right
|
|
|
|
&& point.y > rect.top && point.y < rect.bottom)
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/**
|
|
|
|
*Returns the position of an rect as point object.
|
|
|
|
*
|
|
|
|
* @static
|
|
|
|
* @param {Rect} rect - The rectangle we want to get the position from.
|
|
|
|
* @returns {Point} - Returns the position as Point.
|
|
|
|
* @memberof Rect
|
|
|
|
*/
|
|
|
|
static getPosition(rect) {
|
|
|
|
return { x: rect.x, y: rect.y }
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/** String utility functions */
|
|
|
|
|
|
|
|
export class Strings {
|
|
|
|
|
|
|
|
static toUpperCaseFirstChar(str) {
|
|
|
|
return str.substr(0, 1).toUpperCase() + str.substr(1)
|
|
|
|
}
|
|
|
|
|
|
|
|
static toLowerCaseFirstChar(str) {
|
|
|
|
return str.substr(0, 1).toLowerCase() + str.substr(1)
|
|
|
|
}
|
|
|
|
|
|
|
|
static toUpperCaseEachWord(str, delim = ' ') {
|
|
|
|
return str.split(delim).map((v) => v.toUpperCaseFirstChar()).join(delim)
|
|
|
|
}
|
|
|
|
|
|
|
|
static toLowerCaseEachWord(str, delim = ' ') {
|
|
|
|
return str.split(delim).map((v) => v.toLowerCaseFirstChar()).join(delim)
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|