Finishing latex and polyfill tests.
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2 changed files with 320 additions and 2 deletions
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/**
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* LogarithmPlotter - 2D plotter software to make BODE plots, sequences and distribution functions.
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* Copyright (C) 2021-2024 Ad5001
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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// Load prior tests
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import { describe, it } from "mocha"
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import { expect } from "chai"
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import * as Polyfill from "../../src/lib/expr-eval/polyfill.mjs"
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import {
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andOperator,
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cbrt,
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equal,
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expm1,
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hypot,
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lessThan,
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log1p,
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log2,
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notEqual
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} from "../../src/lib/expr-eval/polyfill.mjs"
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describe("Math/Polyfill", () => {
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describe("#AADDDD", function() {
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it("should add two numbers", function() {
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expect(Polyfill.add(2, 3)).to.equal(5)
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expect(Polyfill.add("2", "3")).to.equal(5)
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})
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})
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describe("#sub", function() {
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it("should subtract two numbers", function() {
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expect(Polyfill.sub(2, 1)).to.equal(1)
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expect(Polyfill.sub("2", "1")).to.equal(1)
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})
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})
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describe("#mul", function() {
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it("should multiply two numbers", function() {
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expect(Polyfill.mul(2, 3)).to.equal(6)
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expect(Polyfill.mul("2", "3")).to.equal(6)
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})
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})
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describe("#div", function() {
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it("should divide two numbers", function() {
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expect(Polyfill.div(10, 2)).to.equal(5)
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expect(Polyfill.div("10", "2")).to.equal(5)
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})
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})
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describe("#mod", function() {
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it("should return the modulo of two numbers", function() {
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expect(Polyfill.mod(10, 3)).to.equal(1)
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expect(Polyfill.mod("10", "3")).to.equal(1)
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})
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})
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describe("#concat", function() {
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it("should return the concatenation of two strings", function() {
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expect(Polyfill.concat(10, 3)).to.equal("103")
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expect(Polyfill.concat("abc", "def")).to.equal("abcdef")
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})
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})
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describe("#equal", function() {
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it("should return whether its two arguments are equal", function() {
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expect(Polyfill.equal(10, 3)).to.be.false
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expect(Polyfill.equal(10, 10)).to.be.true
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expect(Polyfill.equal("abc", "def")).to.be.false
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expect(Polyfill.equal("abc", "abc")).to.be.true
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})
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})
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describe("#notEqual", function() {
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it("should return whether its two arguments are not equal", function() {
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expect(Polyfill.notEqual(10, 3)).to.be.true
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expect(Polyfill.notEqual(10, 10)).to.be.false
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expect(Polyfill.notEqual("abc", "def")).to.be.true
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expect(Polyfill.notEqual("abc", "abc")).to.be.false
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})
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})
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describe("#greaterThan", function() {
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it("should return whether its first argument is strictly greater than its second", function() {
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expect(Polyfill.greaterThan(10, 3)).to.be.true
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expect(Polyfill.greaterThan(10, 10)).to.be.false
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expect(Polyfill.greaterThan(10, 30)).to.be.false
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})
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})
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describe("#lessThan", function() {
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it("should return whether its first argument is strictly less than its second", function() {
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expect(Polyfill.lessThan(10, 3)).to.be.false
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expect(Polyfill.lessThan(10, 10)).to.be.false
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expect(Polyfill.lessThan(10, 30)).to.be.true
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})
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})
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describe("#greaterThanEqual", function() {
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it("should return whether its first argument is greater or equal to its second", function() {
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expect(Polyfill.greaterThanEqual(10, 3)).to.be.true
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expect(Polyfill.greaterThanEqual(10, 10)).to.be.true
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expect(Polyfill.greaterThanEqual(10, 30)).to.be.false
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})
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})
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describe("#lessThanEqual", function() {
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it("should return whether its first argument is strictly less than its second", function() {
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expect(Polyfill.lessThanEqual(10, 3)).to.be.false
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expect(Polyfill.lessThanEqual(10, 10)).to.be.true
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expect(Polyfill.lessThanEqual(10, 30)).to.be.true
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})
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})
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describe("#andOperator", function() {
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it("should return whether its arguments are both true", function() {
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expect(Polyfill.andOperator(true, true)).to.be.true
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expect(Polyfill.andOperator(true, false)).to.be.false
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expect(Polyfill.andOperator(false, true)).to.be.false
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expect(Polyfill.andOperator(false, false)).to.be.false
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expect(Polyfill.andOperator(10, 3)).to.be.true
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expect(Polyfill.andOperator(10, 0)).to.be.false
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expect(Polyfill.andOperator(0, 0)).to.be.false
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})
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})
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describe("#orOperator", function() {
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it("should return whether one of its arguments is true", function() {
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expect(Polyfill.orOperator(true, true)).to.be.true
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expect(Polyfill.orOperator(true, false)).to.be.true
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expect(Polyfill.orOperator(false, true)).to.be.true
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expect(Polyfill.orOperator(false, false)).to.be.false
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expect(Polyfill.orOperator(10, 3)).to.be.true
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expect(Polyfill.orOperator(10, 0)).to.be.true
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expect(Polyfill.orOperator(0, 0)).to.be.false
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})
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})
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describe("#inOperator", function() {
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it("should check if second argument contains first", function() {
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expect(Polyfill.inOperator("a", ["a", "b", "c"])).to.be.true
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expect(Polyfill.inOperator(3, [0, 1, 2])).to.be.false
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expect(Polyfill.inOperator(3, [0, 1, 3, 2])).to.be.true
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expect(Polyfill.inOperator("a", "abcdef")).to.be.true
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expect(Polyfill.inOperator("a", "bcdefg")).to.be.false
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})
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})
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describe("#sinh, #cosh, #tanh, #asinh, #acosh, #atanh", function() {
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const EPSILON = 1e-12
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for(let x = -.9; x < 1; x += 0.1) {
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expect(Polyfill.sinh(x)).to.be.approximately(Math.sinh(x), EPSILON)
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expect(Polyfill.cosh(x)).to.be.approximately(Math.cosh(x), EPSILON)
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expect(Polyfill.tanh(x)).to.be.approximately(Math.tanh(x), EPSILON)
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expect(Polyfill.asinh(x)).to.be.approximately(Math.asinh(x), EPSILON)
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expect(Polyfill.atanh(x)).to.be.approximately(Math.atanh(x), EPSILON)
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}
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for(let x = 1.1; x < 10; x += 0.1) {
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expect(Polyfill.sinh(x)).to.be.approximately(Math.sinh(x), EPSILON)
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expect(Polyfill.cosh(x)).to.be.approximately(Math.cosh(x), EPSILON)
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expect(Polyfill.tanh(x)).to.be.approximately(Math.tanh(x), EPSILON)
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expect(Polyfill.asinh(x)).to.be.approximately(Math.asinh(x), EPSILON)
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expect(Polyfill.acosh(x)).to.be.approximately(Math.acosh(x), EPSILON)
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expect(Polyfill.log10(x)).to.be.approximately(Math.log10(x), EPSILON)
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}
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})
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describe("#trunc", function() {
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it("should return the decimal part of floats", function() {
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for(let x = -10; x < 10; x += 0.1)
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expect(Polyfill.trunc(x)).to.equal(Math.trunc(x))
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})
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})
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describe("#gamma", function() {
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it("should return the product of factorial(x - 1)", function() {
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expect(Polyfill.gamma(0)).to.equal(Infinity)
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expect(Polyfill.gamma(1)).to.equal(1)
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expect(Polyfill.gamma(2)).to.equal(1)
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expect(Polyfill.gamma(3)).to.equal(2)
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expect(Polyfill.gamma(4)).to.equal(6)
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expect(Polyfill.gamma(5)).to.equal(24)
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expect(Polyfill.gamma(172)).to.equal(Infinity)
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expect(Polyfill.gamma(172.3)).to.equal(Infinity)
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expect(Polyfill.gamma(.2)).to.approximately(4.590_843_712, 1e-8)
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expect(Polyfill.gamma(5.5)).to.be.approximately(52.34277778, 1e-8)
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expect(Polyfill.gamma(90.2)).to.equal(4.0565358202825355e+136)
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})
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})
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describe("#hypot", function() {
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it("should return the hypothenus length of a triangle whose length are provided in arguments", function() {
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for(let x = 0; x < 10; x += 0.3) {
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expect(Polyfill.hypot(x)).to.be.approximately(Math.hypot(x), Number.EPSILON)
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for(let y = 0; y < 10; y += 0.3) {
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expect(Polyfill.hypot(x, y)).to.be.approximately(Math.hypot(x, y), Number.EPSILON)
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}
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}
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})
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})
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describe("#sign, #cbrt, #exmp1", function() {
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for(let x = -10; x < 10; x += 0.3) {
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expect(Polyfill.sign(x)).to.approximately(Math.sign(x), 1e-12)
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expect(Polyfill.cbrt(x)).to.approximately(Math.cbrt(x), 1e-12)
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expect(Polyfill.expm1(x)).to.approximately(Math.expm1(x), 1e-12)
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}
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})
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describe("#log1p, #log2", function() {
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for(let x = 1; x < 10; x += 0.3) {
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expect(Polyfill.log1p(x)).to.be.approximately(Math.log1p(x), 1e-12)
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expect(Polyfill.log2(x)).to.be.approximately(Math.log2(x), 1e-12)
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}
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})
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})
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@ -17,6 +17,7 @@
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*/
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// Load prior tests
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import "../basics/utils.mjs"
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import "./base.mjs"
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import "./expreval.mjs"
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@ -26,6 +27,7 @@ import { existsSync } from "../mock/fs.mjs"
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const { spy } = chaiPlugins
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import ExprEval from "../../src/module/expreval.mjs"
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import LatexAPI from "../../src/module/latex.mjs"
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describe("Module/Latex", function() {
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@ -125,7 +127,7 @@ describe("Module/Latex", function() {
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it("shouldn't add parentheses to strings that does not contains one of the ones in the list", function() {
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expect(LatexAPI.parif("string", ["+"])).to.equal("string")
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expect(LatexAPI.parif("string+assert", ["-"])).to.equal("string+assert)")
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expect(LatexAPI.parif("string+assert", ["-"])).to.equal("string+assert")
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expect(LatexAPI.parif("(string*assert", ["+", "-"])).to.equal("(string*assert")
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expect(LatexAPI.parif("string/assert)", ["+", "-"])).to.equal("string/assert)")
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})
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@ -139,6 +141,91 @@ describe("Module/Latex", function() {
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})
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describe("#variable", function() {
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const from = [
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"α", "β", "γ", "δ", "ε", "ζ", "η",
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"π", "θ", "κ", "λ", "μ", "ξ", "ρ",
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"ς", "σ", "τ", "φ", "χ", "ψ", "ω",
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"Γ", "Δ", "Θ", "Λ", "Ξ", "Π", "Σ",
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"Φ", "Ψ", "Ω", "ₐ", "ₑ", "ₒ", "ₓ",
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"ₕ", "ₖ", "ₗ", "ₘ", "ₙ", "ₚ", "ₛ",
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"ₜ", "¹", "²", "³", "⁴", "⁵", "⁶",
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"⁷", "⁸", "⁹", "⁰", "₁", "₂", "₃",
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"₄", "₅", "₆", "₇", "₈", "₉", "₀",
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"pi", "∞"]
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const to = [
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"\\alpha", "\\beta", "\\gamma", "\\delta", "\\epsilon", "\\zeta", "\\eta",
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"\\pi", "\\theta", "\\kappa", "\\lambda", "\\mu", "\\xi", "\\rho",
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"\\sigma", "\\sigma", "\\tau", "\\phi", "\\chi", "\\psi", "\\omega",
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"\\Gamma", "\\Delta", "\\Theta", "\\Lambda", "\\Xi", "\\Pi", "\\Sigma",
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"\\Phy", "\\Psi", "\\Omega", "{}_{a}", "{}_{e}", "{}_{o}", "{}_{x}",
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"{}_{h}", "{}_{k}", "{}_{l}", "{}_{m}", "{}_{n}", "{}_{p}", "{}_{s}",
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"{}_{t}", "{}^{1}", "{}^{2}", "{}^{3}", "{}^{4}", "{}^{5}", "{}^{6}",
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"{}^{7}", "{}^{8}", "{}^{9}", "{}^{0}", "{}_{1}", "{}_{2}", "{}_{3}",
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"{}_{4}", "{}_{5}", "{}_{6}", "{}_{7}", "{}_{8}", "{}_{9}", "{}_{0}",
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"\\pi", "\\infty"]
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it("should convert unicode characters to their latex equivalent", function() {
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for(let i = 0; i < from.length; i++)
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expect(LatexAPI.variable(from[i])).to.include(to[i])
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})
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it("should wrap within dollar signs when the option is included", function() {
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for(let i = 0; i < from.length; i++) {
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expect(LatexAPI.variable(from[i], false)).to.equal(to[i])
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expect(LatexAPI.variable(from[i], true)).to.equal(`$${to[i]}$`)
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}
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})
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it("should be able to convert multiple of them", function() {
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expect(LatexAPI.variable("α₂", false)).to.equal("\\alpha{}_{2}")
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expect(LatexAPI.variable("∞piΠ", false)).to.equal("\\infty\\pi\\Pi")
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})
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})
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describe("#functionToLatex", function() {
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it("should transform derivatives into latex fractions", function() {
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const d1 = LatexAPI.functionToLatex("derivative", ["'3t'", "'t'", "x+2"])
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const d2 = LatexAPI.functionToLatex("derivative", ["f", "x+2"])
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expect(d1).to.equal("\\frac{d3x}{dx}")
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expect(d2).to.equal("\\frac{df}{dx}(x+2)")
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})
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it("should transform integrals into latex limits", function() {
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const i1 = LatexAPI.functionToLatex("integral", ["0", "x", "'3y'", "'y'"])
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const i2 = LatexAPI.functionToLatex("integral", ["1", "2", "f"])
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expect(i1).to.equal("\\int\\limits_{0}^{x}3y dy")
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expect(i2).to.equal("\\int\\limits_{1}^{2}f(t) dt")
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})
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it("should transform sqrt functions to sqrt latex", function() {
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const sqrt1 = LatexAPI.functionToLatex("sqrt", ["(x+2)"])
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const sqrt2 = LatexAPI.functionToLatex("sqrt", ["\\frac{x}{2}"])
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expect(sqrt1).to.equal("\\sqrt{x+2}")
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expect(sqrt2).to.equal("\\sqrt{\\frac{x}{2}}")
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})
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it("should transform abs, floor and ceil", function() {
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const abs = LatexAPI.functionToLatex("abs", ["x+3"])
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const floor = LatexAPI.functionToLatex("floor", ["x+3"])
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const ceil = LatexAPI.functionToLatex("ceil", ["x+3"])
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expect(abs).to.equal("\\left|x+3\\right|")
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expect(floor).to.equal("\\left\\lfloor{x+3}\\right\\rfloor")
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expect(ceil).to.equal("\\left\\lceil{x+3}\\right\\rceil")
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})
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it("should transform regular functions into latex", function() {
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const f1 = LatexAPI.functionToLatex("f", ["x+3", true])
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const f2 = LatexAPI.functionToLatex("h_1", ["10"])
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expect(f1).to.equal("\\mathrm{f}\\left(x+3, true\\right)")
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expect(f2).to.equal("\\mathrm{h_1}\\left(10\\right)")
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})
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})
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describe("#expression", function() {
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it("should transform parsed expressions", function() {
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const expr = ExprEval.parse("(+1! == 2/2 ? sin [-2.2][0] : f(t)^(1+1-1) + sqrt(A.t)) * 3 % 1")
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const expected = "((((+1!))==(\\frac{2}{2}) ? (\\mathrm{sin}\\left(([(-2.2)][0])\\right)) : (\\mathrm{f}\\left(t\\right)^{1+1-1}+\\sqrt{A.t})) \\times 3) \\mathrm{mod} 1"
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expect(LatexAPI.expression(expr.tokens)).to.equal(expected)
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})
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})
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})
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