2016 Update

This commit is contained in:
Tina Müller 2016-12-05 22:15:40 +01:00
parent 948b86eafa
commit dcf5d15da3
7965 changed files with 139854 additions and 31002 deletions

View file

@ -1,14 +1,32 @@
function range(begin, end) {
for (let i = begin; i < end; ++i)
yield i;
}
// USING A LIST MONAD DIRECTLY, WITHOUT SPECIAL SYNTAX FOR LIST COMPREHENSIONS
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) ]
}
(function (n) {
for each (var triple in triples(20))
print(triple);
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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@ -1,31 +1,14 @@
(function(n) {
function range(begin, end) {
for (let i = begin; i < end; ++i)
yield i;
}
// USING A LIST MONAD DIRECTLY, WITHOUT LIST COMPREHENSION NOTATION
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) ]
}
return mb( rng(1, n), function(x) {
return mb( rng(1 + x, n), function(y) {
return mb( rng(1 + y, n), function(z) {
return ( x * x + y * y === z * z ) ? mReturn([x, y, z]) : [];
})})});
/******************************************************************/
// Monadic bind (chain) for lists
function mb(xs, f) {
return [].concat.apply([], xs.map(f));
}
// Monadic return (inject) for lists
function mReturn(a) {
return [a];
}
function rng(m, n) {
return Array.apply(null, Array(n - m + 1)).map(
function (x, i) { return m + i; }
);
}
})(100);
for each (var triple in triples(20))
print(triple);

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@ -0,0 +1,18 @@
(n => {
let flatMap = (xs, f) => [].concat.apply([], xs.map(f)),
range = (m, n) => Array.from({
length: (n - m) + 1
}, (_, i) => m + i);
return flatMap(range(1, n), (x) =>
flatMap(range(1 + x, n), (y) =>
flatMap(range(1 + y, n), (z) =>
x * x + y * y === z * z ? [
[x, y, z]
] : []
)));
})(20);