Kronecker product: Difference between revisions
Content added Content deleted
m (fix) |
(→JS ES6: Changed top level of kprod to concatMap - a little cleaner) |
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const concat = xs => [].concat.apply([], xs); |
const concat = xs => [].concat.apply([], xs); |
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// |
// concatMap :: (a -> [b]) -> [a] -> [b] |
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const |
const concatMap = (f, xs) => [].concat.apply([], xs.map(f)); |
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// 2 or more arguments |
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// curry :: Function -> Function |
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const curry = (f, ...args) => { |
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const go = xs => xs.length >= f.length ? (f.apply(null, xs)) : |
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function () { |
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return go(xs.concat([].slice.apply(arguments))); |
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}; |
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return go([].slice.call(args, 1)); |
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}; |
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// map :: (a -> b) -> [a] -> [b] |
// map :: (a -> b) -> [a] -> [b] |
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// kprod :: [[Num]] -> [[Num]] -> [[Num]] |
// kprod :: [[Num]] -> [[Num]] -> [[Num]] |
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const kprod = (xs, ys) => |
const kprod = (xs, ys) => |
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concatMap( |
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m => map(concat, transpose(m)), |
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map(map(f(ys)), xs) |
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); |
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// (* n) mapped over each element in a matrix |
// (* n) mapped over each element in a matrix |
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// f :: [[Num]] -> Num -> [[Num]] |
// f :: [[Num]] -> Num -> [[Num]] |
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const f = curry((mx, n) => |
const f = curry((mx, n) => map(map(x => x * n), mx)); |
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// TEST ------------------------------------------------------------------- |
// TEST ------------------------------------------------------------------- |
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return unlines([ |
return unlines(map(rows => unlines(map(show, rows)), [ |
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kprod([ |
kprod([ |
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[1, 2], |
[1, 2], |
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[1, 1, 1, 1] |
[1, 1, 1, 1] |
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]) |
]) |
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])); |
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].map(rows => unlines(rows.map(show)))); |
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})();</lang> |
})();</lang> |
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{{Out}} |
{{Out}} |
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