242 lines
7.3 KiB
HTML
242 lines
7.3 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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<button type="button" id="submit">Simplify</button>
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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;">v1.0.11</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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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 = xor(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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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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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 = `-${frac}`;
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return frac;
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}
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toReducedString() {
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if (this.numerator === 0)
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return "0";
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let frac;
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if (this.denominator === 1)
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frac = `${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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const xor = (a, b) => (a || b) && !(a && b);
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// noinspection EqualityComparisonWithCoercionJS
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const isInt = n => n == parseInt(n);
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const factorize = n => {
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if (!isInt(n))
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return undefined;
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n = +n;
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if (n <= 0)
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return undefined;
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if (n === 1)
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return [1];
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const factors = [];
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while (n % 2 === 0) {
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factors.push(2);
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n /= 2;
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}
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while (n % 3 === 0) {
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factors.push(3);
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n /= 3;
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}
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for (let i = 5; i <= n; i += ((i - 1) % 6 === 0) ? 4 : 2) {
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while (n % i === 0) {
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factors.push(i);
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n /= i;
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}
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}
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return factors;
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};
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const defactorize = factors => {
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let accumulator = 1;
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for (let i = 0; i < factors.length; i++)
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accumulator *= factors[i];
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return accumulator;
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};
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const gcd = (a, b) => {
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const aFactors = factorize(a);
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const bFactors = factorize(b);
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const overlap = [];
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for (let aIndex = 0; aIndex < aFactors.length; aIndex++) {
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const bIndex = bFactors.indexOf(aFactors[aIndex]);
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if (bIndex >= 0) {
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overlap.push(aFactors[aIndex]);
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bFactors.splice(bIndex, 1);
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}
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}
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return defactorize(overlap);
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};
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const numeratorInput = $("#numerator");
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const denominatorInput = $("#denominator");
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const submitButton = $("#submit");
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const outputField = $("#out");
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const validateInputs = () => {
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let numerator = numeratorInput.value;
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let denominator = denominatorInput.value;
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if (numerator === "")
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return [numeratorInput, "Numerator must not be empty."];
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if (denominator === "")
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return [denominatorInput, "Denominator must not be empty."];
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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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const outputSimplifiedFraction = () => {
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const validationInfo = validateInputs();
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if (validationInfo !== undefined) {
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validationInfo[0].select();
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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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submitButton.onclick = () => outputSimplifiedFraction();
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numeratorInput.addEventListener("keydown", event => {
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if (event.key === "Enter") {
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if (denominatorInput.value === "") {
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denominatorInput.select();
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} else {
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outputSimplifiedFraction();
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numeratorInput.select();
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}
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}
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});
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denominatorInput.addEventListener("keydown", event => {
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if (event.key === "Enter") {
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outputSimplifiedFraction();
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denominatorInput.select();
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}
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});
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</script>
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</body>
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</html>
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