Initial data commit

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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
199087 changed files with 3378941 additions and 0 deletions

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// USING A LIST MONAD DIRECTLY, WITHOUT SPECIAL SYNTAX FOR LIST COMPREHENSIONS
(function (n) {
return mb(r(1, n), function (x) { // x <- [1..n]
return mb(r(1 + x, n), function (y) { // y <- [1+x..n]
return mb(r(1 + y, n), function (z) { // z <- [1+y..n]
return x * x + y * y === z * z ? [[x, y, z]] : [];
})})});
// LIBRARY FUNCTIONS
// Monadic bind for lists
function mb(xs, f) {
return [].concat.apply([], xs.map(f));
}
// Monadic return for lists is simply lambda x -> [x]
// as in [[x, y, z]] : [] above
// Integer range [m..n]
function r(m, n) {
return Array.apply(null, Array(n - m + 1))
.map(function (n, x) {
return m + x;
});
}
})(100);

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function range(begin, end) {
for (let i = begin; i < end; ++i)
yield i;
}
function triples(n) {
return [
[x, y, z]
for each(x in range(1, n + 1))
for each(y in range(x, n + 1))
for each(z in range(y, n + 1))
if (x * x + y * y == z * z)
]
}
for each(var triple in triples(20))
print(triple);

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(n => {
'use strict';
// GENERIC FUNCTIONS ------------------------------------------------------
// concatMap :: (a -> [b]) -> [a] -> [b]
const concatMap = (f, xs) => [].concat.apply([], xs.map(f));
// enumFromTo :: Int -> Int -> [Int]
const enumFromTo = (m, n) =>
Array.from({
length: Math.floor(n - m) + 1
}, (_, i) => m + i);
// EXAMPLE ----------------------------------------------------------------
// [(x, y, z) | x <- [1..n], y <- [x..n], z <- [y..n], x ^ 2 + y ^ 2 == z ^ 2]
return concatMap(x =>
concatMap(y =>
concatMap(z =>
x * x + y * y === z * z ? [
[x, y, z]
] : [],
enumFromTo(y, n)),
enumFromTo(x, n)),
enumFromTo(1, n));
})(20);

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(n => {
'use strict';
// GENERIC FUNCTIONS ------------------------------------------------------
// bind (>>=) :: Monad m => m a -> (a -> m b) -> m b
const bind = (m, mf) =>
Array.isArray(m) ? (
bindList(m, mf)
) : bindMay(m, mf);
// bindList (>>=) :: [a] -> (a -> [b]) -> [b]
const bindList = (xs, mf) => [].concat.apply([], xs.map(mf));
// enumFromTo :: Enum a => a -> a -> [a]
const enumFromTo = (m, n) =>
(typeof m !== 'number' ? (
enumFromToChar
) : enumFromToInt)
.apply(null, [m, n]);
// enumFromToInt :: Int -> Int -> [Int]
const enumFromToInt = (m, n) =>
Array.from({
length: Math.floor(n - m) + 1
}, (_, i) => m + i);
// EXAMPLE ----------------------------------------------------------------
// [(x, y, z) | x <- [1..n], y <- [x..n], z <- [y..n], x ^ 2 + y ^ 2 == z ^ 2]
return bind(enumFromTo(1, n),
x => bind(enumFromTo(x, n),
y => bind(enumFromTo(y, n),
z => x * x + y * y === z * z ? [
[x, y, z]
] : []
)));
})(20);

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[[3, 4, 5], [5, 12, 13], [6, 8, 10], [8, 15, 17], [9, 12, 15], [12, 16, 20]]