187 lines
No EOL
10 KiB
JavaScript
187 lines
No EOL
10 KiB
JavaScript
/**
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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 "./base.mjs"
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import { describe, it } from "mocha"
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import { expect } from "chai"
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import ExprEval from "../../src/module/expreval.mjs"
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describe("Module/ExprEval", function() {
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describe("#parse", function() {
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const evaluate = (expr, vals) => ExprEval.parse(expr).evaluate(vals)
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it("parses simple mathematical expressions", function() {
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expect(evaluate("1", {})).to.equal(1)
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expect(evaluate("-1", {})).to.equal(-1)
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expect(evaluate("-(-1)", {})).to.equal(1)
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expect(evaluate("+(-1)", {})).to.equal(-1)
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expect(evaluate("3!", {})).to.equal(6)
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expect(evaluate("1+1", {})).to.equal(2)
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expect(evaluate("4*3", {})).to.equal(12)
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expect(evaluate("64/4", {})).to.equal(16)
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expect(evaluate("2^10", {})).to.equal(1024)
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expect(evaluate("10%3", {})).to.equal(1)
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expect(evaluate("10%3", {})).to.equal(1)
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// Test priorities
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expect(evaluate("10*10+10*10", {})).to.equal(200)
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expect(evaluate("10/10+10/10", {})).to.equal(2)
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expect(evaluate("10/10+10/10", {})).to.equal(2)
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expect(evaluate("2^2-2^2", {})).to.equal(0)
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expect(evaluate("(2^2-2)^2", {})).to.equal(4)
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})
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it("parses equality and test statements", function() {
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expect(evaluate("10%3 == 1 ? 2 : 1", {})).to.equal(2)
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expect(evaluate("10%3 != 1 ? 2 : 1", {})).to.equal(1)
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expect(evaluate("10 < 3 ? 2 : 1", {})).to.equal(1)
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expect(evaluate("10 > 3 ? (2+1) : 1", {})).to.equal(3)
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expect(evaluate("10 <= 3 ? 4 : 1", {})).to.equal(1)
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expect(evaluate("10 >= 3 ? 4 : 1", {})).to.equal(4)
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// Check equality
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expect(evaluate("10 < 10 ? 2 : 1", {})).to.equal(1)
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expect(evaluate("10 > 10 ? 2 : 1", {})).to.equal(1)
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expect(evaluate("10 <= 10 ? 4 : 1", {})).to.equal(4)
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expect(evaluate("10 >= 10 ? 4 : 1", {})).to.equal(4)
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// Check 'and' and 'or'
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expect(evaluate("10 <= 3 and 10 < 10 ? 4 : 1", {})).to.equal(1)
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expect(evaluate("10 <= 10 and 10 < 10 ? 4 : 1", {})).to.equal(1)
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expect(evaluate("10 <= 10 and 10 < 20 ? 4 : 1", {})).to.equal(4)
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expect(evaluate("10 <= 3 or 10 < 10 ? 4 : 1", {})).to.equal(1)
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expect(evaluate("10 <= 10 or 10 < 10 ? 4 : 1", {})).to.equal(4)
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expect(evaluate("10 <= 10 or 10 < 20 ? 4 : 1", {})).to.equal(4)
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})
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it("parses singular function operators (functions with one arguments and no parenthesis)", function() {
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// Trigonometric functions
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expect(evaluate("sin π", { })).to.be.approximately(0, Number.EPSILON)
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expect(evaluate("cos π", { })).to.be.approximately(-1, Number.EPSILON)
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expect(evaluate("tan π", { })).to.be.approximately(0, Number.EPSILON)
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expect(evaluate("asin 1", { })).to.be.approximately(Math.PI/2, Number.EPSILON)
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expect(evaluate("acos 1", { })).to.be.approximately(0, Number.EPSILON)
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expect(evaluate("atan 1", { })).to.be.approximately(Math.PI/4, Number.EPSILON)
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expect(evaluate("sinh 1", { })).to.be.approximately(Math.sinh(1), Number.EPSILON)
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expect(evaluate("cosh 1", { })).to.be.approximately(Math.cosh(1), Number.EPSILON)
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expect(evaluate("tanh 1", { })).to.be.approximately(Math.tanh(1), Number.EPSILON)
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expect(evaluate("asinh 1", { })).to.be.approximately(Math.asinh(1), Number.EPSILON)
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expect(evaluate("acosh 1", { })).to.be.approximately(Math.acosh(1), Number.EPSILON)
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expect(evaluate("atanh 0.5", { })).to.be.approximately(Math.atanh(0.5), Number.EPSILON)
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// Reverse trigonometric
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expect(evaluate("asin sin 1", { })).to.be.approximately(1, Number.EPSILON)
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expect(evaluate("acos cos 1", { })).to.be.approximately(1, Number.EPSILON)
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expect(evaluate("atan tan 1", { })).to.be.approximately(1, Number.EPSILON)
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expect(evaluate("asinh sinh 1", { })).to.be.approximately(1, Number.EPSILON)
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expect(evaluate("acosh cosh 1", { })).to.be.approximately(1, Number.EPSILON)
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expect(evaluate("atanh tanh 1", { })).to.be.approximately(1, Number.EPSILON)
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// Other functions
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})
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})
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describe("#integral", function() {
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it("returns the integral value between two integers", function() {
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expect(ExprEval.integral(0, 1, "1", "t")).to.be.approximately(1, Number.EPSILON)
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expect(ExprEval.integral(0, 1, "t", "t")).to.be.approximately(1 / 2, Number.EPSILON)
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expect(ExprEval.integral(0, 1, "t^2", "t")).to.be.approximately(1 / 3, Number.EPSILON)
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expect(ExprEval.integral(0, 1, "t^3", "t")).to.be.approximately(1 / 4, 0.01)
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expect(ExprEval.integral(0, 1, "t^4", "t")).to.be.approximately(1 / 5, 0.01)
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expect(ExprEval.integral(10, 40, "1", "t")).to.equal(30)
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expect(ExprEval.integral(20, 40, "1", "t")).to.equal(20)
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expect(ExprEval.integral(0, 10, { execute: (x) => 1 })).to.equal(10)
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expect(ExprEval.integral(0, 10, { execute: (x) => x })).to.equal(50)
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expect(ExprEval.integral(0, 1, { execute: (x) => Math.pow(x, 2) })).to.equal(1 / 3)
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})
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it("throws error when provided with invalid arguments", function() {
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const noArg1 = () => ExprEval.integral()
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const noArg2 = () => ExprEval.integral(0)
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const noFunction = () => ExprEval.integral(0, 1)
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const invalidObjectProvided = () => ExprEval.integral(0, 1, { a: 2 })
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const notAnObjectProvided = () => ExprEval.integral(0, 1, "string")
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const invalidFromProvided = () => ExprEval.integral("ze", 1, "t^2", "t")
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const invalidToProvided = () => ExprEval.integral(0, "ze", "t^2", "t")
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const notStringProvided1 = () => ExprEval.integral(0, 1, { a: 2 }, { b: 1 })
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const notStringProvided2 = () => ExprEval.integral(0, 1, { a: 2 }, "t")
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const notStringProvided3 = () => ExprEval.integral(0, 1, "t^2", { b: 1 })
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const invalidVariableProvided = () => ExprEval.integral(0, 1, "t^2", "93IO74")
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const invalidExpressionProvided = () => ExprEval.integral(0, 1, "t^2t", "t")
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const invalidVariableInExpression = () => ExprEval.integral(0, 1, "t^2+x", "t")
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expect(noArg1).to.throw()
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expect(noArg2).to.throw()
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expect(noFunction).to.throw()
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expect(invalidObjectProvided).to.throw()
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expect(invalidFromProvided).to.throw()
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expect(invalidToProvided).to.throw()
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expect(notAnObjectProvided).to.throw()
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expect(notStringProvided1).to.throw()
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expect(notStringProvided2).to.throw()
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expect(notStringProvided3).to.throw()
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expect(invalidVariableProvided).to.throw()
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expect(invalidExpressionProvided).to.throw()
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expect(invalidVariableInExpression).to.throw()
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})
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})
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describe("#derivative", function() {
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const DELTA = 1e-5
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it("returns the derivative value between two integers", function() {
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expect(ExprEval.derivative("1", "t", 2)).to.be.approximately(0, DELTA)
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expect(ExprEval.derivative("t", "t", 2)).to.be.approximately(1, DELTA)
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expect(ExprEval.derivative("t^2", "t", 2)).to.be.approximately(4, DELTA)
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expect(ExprEval.derivative("t^3", "t", 2)).to.be.approximately(12, DELTA)
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expect(ExprEval.derivative("t^4", "t", 2)).to.be.approximately(32, DELTA)
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expect(ExprEval.derivative({ execute: (x) => 1 }, 10)).to.equal(0)
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expect(ExprEval.derivative({ execute: (x) => x }, 10)).to.be.approximately(1, DELTA)
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expect(ExprEval.derivative({ execute: (x) => Math.pow(x, 2) }, 10)).to.be.approximately(20, DELTA)
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})
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it("throws error when provided with invalid arguments", function() {
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const noArg1 = () => ExprEval.derivative()
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const noArg2 = () => ExprEval.derivative("1")
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const noValue1 = () => ExprEval.derivative("0", "1")
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const noValue2 = () => ExprEval.derivative({ execute: (x) => 1 })
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const invalidObjectProvided = () => ExprEval.derivative({ a: 2 }, 1)
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const notAnObjectProvided = () => ExprEval.derivative("string", 1)
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const invalidXProvided = () => ExprEval.derivative("t^2+x", "t", "ze")
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const notStringProvided1 = () => ExprEval.derivative({ a: 2 }, { b: 1 }, 1)
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const notStringProvided2 = () => ExprEval.derivative({ a: 2 }, "t", 1)
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const notStringProvided3 = () => ExprEval.derivative("t^2", { b: 1 }, 1)
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const invalidVariableProvided = () => ExprEval.derivative("t^2", "93IO74", 1)
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const invalidExpressionProvided = () => ExprEval.derivative("t^2t", "t", 1)
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const invalidVariableInExpression = () => ExprEval.derivative("t^2+x", "t", 1)
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expect(noArg1).to.throw()
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expect(noArg2).to.throw()
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expect(noValue1).to.throw()
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expect(noValue2).to.throw()
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expect(invalidObjectProvided).to.throw()
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expect(invalidXProvided).to.throw()
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expect(notAnObjectProvided).to.throw()
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expect(notStringProvided1).to.throw()
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expect(notStringProvided2).to.throw()
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expect(notStringProvided3).to.throw()
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expect(invalidVariableProvided).to.throw()
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expect(invalidExpressionProvided).to.throw()
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expect(invalidVariableInExpression).to.throw()
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})
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})
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}) |