RosettaCodeData/Task/Happy-numbers/JavaScript/happy-numbers-4.js

72 lines
1.8 KiB
JavaScript

(() => {
// isHappy :: Int -> Bool
const isHappy = n => {
const f = n =>
foldl(
(a, x) => a + raise(read(x), 2), // ^2
0,
splitOn('', show(n))
),
p = (s, n) => n === 1 ? (
true
) : member(n, s) ? (
false
) : p(
insert(n, s), f(n)
);
return p(new Set(), n);
};
// GENERIC FUNCTIONS ------------------------------------------------------
// filter :: (a -> Bool) -> [a] -> [a]
const filter = (f, xs) => xs.filter(f);
// foldl :: (b -> a -> b) -> b -> [a] -> b
const foldl = (f, a, xs) => xs.reduce(f, a);
// insert :: Ord a => a -> Set a -> Set a
const insert = (e, s) => s.add(e);
// member :: Ord a => a -> Set a -> Bool
const member = (e, s) => s.has(e);
// read :: Read a => String -> a
const read = JSON.parse;
// show :: a -> String
const show = x => JSON.stringify(x);
// splitOn :: String -> String -> [String]
const splitOn = (cs, xs) => xs.split(cs);
// raise :: Num -> Int -> Num
const raise = (n, e) => Math.pow(n, e);
// until :: (a -> Bool) -> (a -> a) -> a -> a
const until = (p, f, x) => {
let v = x;
while (!p(v)) v = f(v);
return v;
};
// TEST -------------------------------------------------------------------
return show(
until(
m => m.xs.length === 8,
m => {
const n = m.n;
return {
n: n + 1,
xs: isHappy(n) ? m.xs.concat(n) : m.xs
};
}, {
n: 1,
xs: []
}
)
.xs
);
})();