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function levenshtein(a, b) {
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var t = [], u, i, j, m = a.length, n = b.length;
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if (!m) { return n; }
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if (!n) { return m; }
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for (j = 0; j <= n; j++) { t[j] = j; }
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for (i = 1; i <= m; i++) {
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for (u = [i], j = 1; j <= n; j++) {
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u[j] = a[i - 1] === b[j - 1] ? t[j - 1] : Math.min(t[j - 1], t[j], u[j - 1]) + 1;
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} t = u;
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} return u[n];
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}
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// tests
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[ ['', '', 0],
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['yo', '', 2],
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['', 'yo', 2],
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['yo', 'yo', 0],
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['tier', 'tor', 2],
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['saturday', 'sunday', 3],
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['mist', 'dist', 1],
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['tier', 'tor', 2],
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['kitten', 'sitting', 3],
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['stop', 'tops', 2],
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['rosettacode', 'raisethysword', 8],
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['mississippi', 'swiss miss', 8]
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].forEach(function(v) {
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var a = v[0], b = v[1], t = v[2], d = levenshtein(a, b);
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if (d !== t) {
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console.log('levenstein("' + a + '","' + b + '") was ' + d + ' should be ' + t);
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}
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});
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143
Task/Levenshtein-distance/JavaScript/levenshtein-distance-2.js
Normal file
143
Task/Levenshtein-distance/JavaScript/levenshtein-distance-2.js
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(() => {
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'use strict';
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// levenshtein :: String -> String -> Int
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const levenshtein = sa => sb => {
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const cs = chars(sa);
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const go = (ns, c) => {
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const calc = z => tpl => {
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const [c1, x, y] = Array.from(tpl);
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return minimum([
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succ(y),
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succ(z),
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x + (c !== c1 ? 1 : 0)
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]);
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};
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const [n, ns1] = [ns[0], ns.slice(1)];
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return scanl(calc)(succ(n))(
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zip3(cs)(ns)(ns1)
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);
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};
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return last(
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chars(sb).reduce(
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go,
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enumFromTo(0)(cs.length)
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)
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);
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};
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// ----------------------- TEST ------------------------
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const main = () => [
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["kitten", "sitting"],
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["sitting", "kitten"],
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["rosettacode", "raisethysword"],
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["raisethysword", "rosettacode"]
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].map(uncurry(levenshtein));
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// ----------------- GENERIC FUNCTIONS -----------------
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// Tuple (,) :: a -> b -> (a, b)
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const Tuple = a =>
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b => ({
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type: 'Tuple',
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'0': a,
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'1': b,
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length: 2
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});
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// TupleN :: a -> b ... -> (a, b ... )
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function TupleN() {
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const
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args = Array.from(arguments),
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n = args.length;
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return 2 < n ? Object.assign(
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args.reduce((a, x, i) => Object.assign(a, {
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[i]: x
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}), {
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type: 'Tuple' + n.toString(),
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length: n
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})
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) : args.reduce((f, x) => f(x), Tuple);
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};
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// chars :: String -> [Char]
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const chars = s =>
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s.split('');
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// enumFromTo :: Int -> Int -> [Int]
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const enumFromTo = m =>
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n => Array.from({
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length: 1 + n - m
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}, (_, i) => m + i);
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// last :: [a] -> a
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const last = xs => (
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// The last item of a list.
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ys => 0 < ys.length ? (
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ys.slice(-1)[0]
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) : undefined
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)(xs);
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// minimum :: Ord a => [a] -> a
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const minimum = xs => (
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// The least value of xs.
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ys => 0 < ys.length ? (
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ys.slice(1)
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.reduce((a, y) => y < a ? y : a, ys[0])
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) : undefined
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)(xs);
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// length :: [a] -> Int
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const length = xs =>
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// Returns Infinity over objects without finite
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// length. This enables zip and zipWith to choose
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// the shorter argument when one is non-finite,
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// like cycle, repeat etc
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'GeneratorFunction' !== xs.constructor.constructor.name ? (
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xs.length
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) : Infinity;
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// scanl :: (b -> a -> b) -> b -> [a] -> [b]
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const scanl = f => startValue => xs =>
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xs.reduce((a, x) => {
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const v = f(a[0])(x);
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return Tuple(v)(a[1].concat(v));
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}, Tuple(startValue)([startValue]))[1];
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// succ :: Enum a => a -> a
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const succ = x =>
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1 + x;
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// uncurry :: (a -> b -> c) -> ((a, b) -> c)
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const uncurry = f =>
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// A function over a pair, derived
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// from a curried function.
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function () {
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const
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args = arguments,
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xy = Boolean(args.length % 2) ? (
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args[0]
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) : args;
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return f(xy[0])(xy[1]);
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};
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// zip3 :: [a] -> [b] -> [c] -> [(a, b, c)]
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const zip3 = xs =>
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ys => zs => xs
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.slice(0, Math.min(...[xs, ys, zs].map(length)))
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.map((x, i) => TupleN(x, ys[i], zs[i]));
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// MAIN ---
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return JSON.stringify(main())
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})();
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