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3 changed files with 132 additions and 69 deletions
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@ -24,6 +24,7 @@ import { Expression, executeExpression } from "./expression.mjs"
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*/
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export class Domain {
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constructor() {
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this.latexMarkup = "#INVALID"
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}
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/**
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@ -206,8 +207,8 @@ export class Range extends Domain {
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}
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includes(x) {
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if(x instanceof Expression) x = x.execute()
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if(typeof x == "string") x = executeExpression(x)
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if(x instanceof Expression) x = x.execute()
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return ((this.openBegin && x > this.begin.execute()) || (!this.openBegin && x >= this.begin.execute())) &&
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((this.openEnd && x < this.end.execute()) || (!this.openEnd && x <= this.end.execute()))
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}
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@ -249,15 +250,17 @@ export class SpecialDomain extends Domain {
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/**
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* @constructs SpecialDomain
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* @param {string} displayName
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* @param {string} latexMarkup - markup representing the domain.
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* @param {function} isValid - function returning true when number is in domain false when it isn't.
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* @param {function} next - function provides the next positive value in the domain after the one given.
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* @param {function} previous - function provides the previous positive value in the domain before the one given.
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* @param {boolean} moveSupported - Only true if next and previous functions are valid.
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*/
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constructor(displayName, isValid, next = () => true, previous = () => true,
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constructor(displayName, latexMarkup, isValid, next = () => true, previous = () => true,
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moveSupported = true) {
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super()
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this.displayName = displayName
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this.latexMarkup = latexMarkup
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this.isValid = isValid
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this.nextValue = next
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this.prevValue = previous
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@ -562,39 +565,54 @@ Domain.RPE.latexMarkup = "\\mathbb{R}^{+*}"
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Domain.RME = new Range(-Infinity, 0, true, true)
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Domain.RME.displayName = "ℝ⁻*"
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Domain.RME.latexMarkup = "\\mathbb{R}^{+*}"
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Domain.N = new SpecialDomain("ℕ", x => x % 1 === 0 && x >= 0,
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Domain.N = new SpecialDomain(
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"ℕ", "\\mathbb{N}",
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x => x % 1 === 0 && x >= 0,
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x => Math.max(Math.floor(x) + 1, 0),
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x => Math.max(Math.ceil(x) - 1, 0))
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Domain.N.latexMarkup = "\\mathbb{N}"
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Domain.NE = new SpecialDomain("ℕ*", x => x % 1 === 0 && x > 0,
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x => Math.max(Math.ceil(x) - 1, 0)
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)
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Domain.NE = new SpecialDomain(
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"ℕ*", "\\mathbb{N}^{*}",
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x => x % 1 === 0 && x > 0,
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x => Math.max(Math.floor(x) + 1, 1),
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x => Math.max(Math.ceil(x) - 1, 1))
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Domain.NE.latexMarkup = "\\mathbb{N}^{*}"
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Domain.Z = new SpecialDomain("ℤ", x => x % 1 === 0, x => Math.floor(x) + 1, x => Math.ceil(x) - 1)
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Domain.Z.latexMarkup = "\\mathbb{Z}"
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Domain.ZE = new SpecialDomain("ℤ*", x => x % 1 === 0 && x !== 0,
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x => Math.max(Math.ceil(x) - 1, 1)
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)
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Domain.Z = new SpecialDomain(
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"ℤ", "\\mathbb{Z}",
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x => x % 1 === 0,
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x => Math.floor(x) + 1,
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x => Math.ceil(x) - 1
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)
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Domain.ZE = new SpecialDomain(
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"ℤ*", "\\mathbb{Z}^{*}",
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x => x % 1 === 0 && x !== 0,
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x => Math.floor(x) + 1 === 0 ? Math.floor(x) + 2 : Math.floor(x) + 1,
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x => Math.ceil(x) - 1 === 0 ? Math.ceil(x) - 2 : Math.ceil(x) - 1)
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Domain.ZE.latexMarkup = "\\mathbb{Z}^{*}"
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Domain.ZM = new SpecialDomain("ℤ⁻", x => x % 1 === 0 && x <= 0,
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x => Math.ceil(x) - 1 === 0 ? Math.ceil(x) - 2 : Math.ceil(x) - 1
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)
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Domain.ZM = new SpecialDomain(
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"ℤ⁻", "\\mathbb{Z}^{-}",
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x => x % 1 === 0 && x <= 0,
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x => Math.min(Math.floor(x) + 1, 0),
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x => Math.min(Math.ceil(x) - 1, 0))
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Domain.ZM.latexMarkup = "\\mathbb{Z}^{-}"
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Domain.ZME = new SpecialDomain("ℤ⁻*", x => x % 1 === 0 && x < 0,
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x => Math.min(Math.ceil(x) - 1, 0)
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)
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Domain.ZME = new SpecialDomain(
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"ℤ⁻*", "\\mathbb{Z}^{-*}",
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x => x % 1 === 0 && x < 0,
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x => Math.min(Math.floor(x) + 1, -1),
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x => Math.min(Math.ceil(x) - 1, -1))
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Domain.ZME.latexMarkup = "\\mathbb{Z}^{-*}"
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Domain.NLog = new SpecialDomain("ℕˡᵒᵍ",
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x => Math.min(Math.ceil(x) - 1, -1)
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)
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Domain.NLog = new SpecialDomain(
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"ℕˡᵒᵍ", "\\mathbb{N}^{log}",
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x => x / Math.pow(10, Math.ceil(Math.log10(x))) % 1 === 0 && x > 0,
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function(x) {
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x => {
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let x10pow = Math.pow(10, Math.ceil(Math.log10(x)))
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return Math.max(1, (Math.floor(x / x10pow) + 1) * x10pow)
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},
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function(x) {
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x => {
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let x10pow = Math.pow(10, Math.ceil(Math.log10(x)))
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return Math.max(1, (Math.ceil(x / x10pow) - 1) * x10pow)
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})
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Domain.NLog.latexMarkup = "\\mathbb{N}^{log}"
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}
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)
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let refedDomains = []
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@ -626,7 +644,7 @@ export function parseDomainSimple(domain) {
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if(domain.includes("U") || domain.includes("∪")) return UnionDomain.import(domain)
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if(domain.includes("∩")) return IntersectionDomain.import(domain)
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if(domain.includes("∖") || domain.includes("\\")) return MinusDomain.import(domain)
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if(domain.charAt(0) === "{" && domain.charAt(domain.length - 1) === "}") return DomainSet.import(domain)
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if(domain.at(0) === "{" && domain.at(-1) === "}") return DomainSet.import(domain)
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if(domain.includes("]") || domain.includes("[")) return Range.import(domain)
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if(["R", "ℝ", "N", "ℕ", "Z", "ℤ"].some(str => domain.toUpperCase().includes(str)))
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return Domain.import(domain)
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