227 lines
7.6 KiB
HTML
227 lines
7.6 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<meta name="author" content="Felix W. Dekker" />
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<meta name="application-name" content="Simplify fractions" />
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<meta name="description" content="Simplify fractions." />
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<meta name="theme-color" content="#0033cc" />
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<title>Simplify fractions | FWDekker</title>
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<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Roboto:300,300italic,700,700italic"
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crossorigin="anonymous" />
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<link rel="stylesheet" href="https://static.fwdekker.com/css/milligram-bundle.min.css" crossorigin="anonymous" />
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</head>
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<body>
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<main class="wrapper">
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<!-- Header -->
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<header class="header">
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<div class="container">
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<h1>Simplify fractions</h1>
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<noscript>
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<span style="color: red; font-weight: bold;">
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This website does not function if JavaScript is disabled.
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Please check the <a href="https://www.enable-javascript.com/">
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instructions on how to enable JavaScript in your web browser</a>.
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</span>
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</noscript>
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<blockquote>
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<p><em>Simplify a fraction to eliminate common factors.</em></p>
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</blockquote>
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</div>
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</header>
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<!-- Input -->
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<section class="container">
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<form>
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<fieldset>
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<label for="numerator">Numerator</label>
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<input type="number" id="numerator" min="-2147483647" max="2147483647" autofocus />
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<label for="denominator">Denominator</label>
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<input type="number" id="denominator" min="-2147483647" max="2147483647" />
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</fieldset>
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</form>
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</section>
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<!-- Output -->
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<section class="container">
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<span id="out"></span>
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</section>
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<!-- Footer -->
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<footer class="footer">
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<section class="container">
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Made by <a href="https://fwdekker.com/">Felix W. Dekker</a>.
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Licensed under the
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<a href="https://git.fwdekker.com/FWDekker/simplify-fractions/src/branch/master/LICENSE">MIT License</a>.
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Source code available on <a href="https://git.fwdekker.com/FWDekker/simplify-fractions/">git</a>.
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<div style="float: right;">v1.1.0</div>
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</section>
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</footer>
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</main>
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<!-- Scripts -->
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<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML"
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integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script>
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<script src="https://static.fwdekker.com/js/common.js" crossorigin="anonymous"></script>
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<script>
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/**
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* A fraction that can be simplified.
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*/
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class Fraction {
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constructor(numerator, denominator) {
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if (!isInt(numerator) || !isInt(denominator))
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throw new Error("Numerator and denominator must be integer-like.");
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this.sign = numerator < 0 !== denominator < 0 ? -1 : 1;
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this.numerator = Math.abs(+numerator);
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this.denominator = Math.abs(+denominator);
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}
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/**
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* Returns a new fraction such that the gcd of the numerator and denominator is 1.
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*
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* @returns {Fraction} a new fraction such that the gcd of the numerator and denominator is 1
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*/
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simplify() {
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const common = gcd(this.numerator, this.denominator);
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return new Fraction(this.sign * this.numerator / common, this.denominator / common);
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}
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/**
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* Returns the MathJax string representation of this fraction.
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*
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* @returns {string} the MathJax string representation of this fraction
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*/
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toString() {
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let frac = `\\frac{${this.numerator}}{${this.denominator}}`;
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if (this.sign === -1)
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frac = `-${frac}`;
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return frac;
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}
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/**
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* Returns the MathJax string representation of this fraction, or of the numerator if the denominator is 1.
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*
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* @returns {string} the MathJax string representation of this fraction, or of the numerator if the denominator
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* is 1.
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*/
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toReducedString() {
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if (this.numerator === 0)
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return "0";
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let frac;
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if (this.denominator === 1)
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frac = `${this.numerator}`;
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else
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frac = `\\frac{${this.numerator}}{${this.denominator}}`;
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if (this.sign === -1)
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frac = `-${frac}`;
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return frac;
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}
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}
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// noinspection EqualityComparisonWithCoercionJS
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/**
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* Returns `true` if and only if `n` is an integer.
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*
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* @param n {*} the value to check for integerness
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* @returns {boolean} `true` if and only if `n` is an integer
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*/
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const isInt = n => n == parseInt(n);
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/**
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* Returns the greatest common divisor of `a` and `b`.
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*
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* @param a {number} the first operand
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* @param b {number} the second operand
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* @returns {number} the greatest common divisor of `a` and `b`
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*/
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const gcd = (a, b) => {
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if (b > a) {
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const temp = a;
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a = b;
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b = temp;
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}
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while (true) {
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if (b === 0) return a;
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a %= b;
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if (a === 0) return b;
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b %= a;
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}
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};
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doAfterLoad(() => {
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const numeratorInput = $("#numerator");
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const denominatorInput = $("#denominator");
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const outputField = $("#out");
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/**
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* Returns `undefined` if the inputs are valid, or a tuple consisting of the invalid element and an explanation
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* of its invalidity otherwise.
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*
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* @param numerator {string} the numerator value
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* @param denominator {string} the denominator value
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* @returns {(HTMLElement|string)[]|undefined} `undefined` if the inputs are valid, or a tuple consisting of the
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* invalid element and an explanation of its invalidity otherwise
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*/
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const validateInputs = (numerator, denominator) => {
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if (numerator === "")
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return [numeratorInput, ""];
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if (denominator === "")
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return [denominatorInput, ""];
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if (!isInt(numerator))
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return [numeratorInput, "Numerator must be an integer."];
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if (!isInt(denominator))
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return [denominatorInput, "Denominator must be an integer."];
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if (+denominator === 0)
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return [denominatorInput, "Denominator must not be 0."];
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return undefined;
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};
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/**
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* Reads the inputs and tries to output the simplified fraction.
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*/
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const outputSimplifiedFraction = () => {
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let numerator = numeratorInput.value;
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let denominator = denominatorInput.value;
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const validationInfo = validateInputs(numerator, denominator);
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if (validationInfo !== undefined) {
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outputField.innerText = validationInfo[1];
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return;
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}
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const fraction = new Fraction(numeratorInput.value, denominatorInput.value);
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outputField.innerText = "$$" + fraction.toString() + " = " + fraction.simplify().toReducedString() + "$$";
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MathJax.Hub.Queue(["Typeset", MathJax.Hub]);
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};
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numeratorInput.addEventListener("input", () => outputSimplifiedFraction());
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denominatorInput.addEventListener("input", () => outputSimplifiedFraction());
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});
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</script>
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</body>
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</html>
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