2016 Update
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7965 changed files with 139854 additions and 31002 deletions
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@ -1,31 +1,14 @@
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(function(n) {
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function range(begin, end) {
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for (let i = begin; i < end; ++i)
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yield i;
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}
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// USING A LIST MONAD DIRECTLY, WITHOUT LIST COMPREHENSION NOTATION
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function triples(n) {
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return [[x,y,z] for each (x in range(1,n+1))
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for each (y in range(x,n+1))
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for each (z in range(y,n+1))
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if (x*x + y*y == z*z) ]
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}
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return mb( rng(1, n), function(x) {
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return mb( rng(1 + x, n), function(y) {
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return mb( rng(1 + y, n), function(z) {
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return ( x * x + y * y === z * z ) ? mReturn([x, y, z]) : [];
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})})});
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/******************************************************************/
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// Monadic bind (chain) for lists
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function mb(xs, f) {
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return [].concat.apply([], xs.map(f));
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}
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// Monadic return (inject) for lists
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function mReturn(a) {
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return [a];
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}
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function rng(m, n) {
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return Array.apply(null, Array(n - m + 1)).map(
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function (x, i) { return m + i; }
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);
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}
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})(100);
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for each (var triple in triples(20))
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print(triple);
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