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Add sort
and sortBy
functions to the Cryptol prelude.
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@ -897,6 +897,31 @@ generate : {n, a, ix} (Integral ix, LiteralLessThan n ix) => (ix -> a) -> [n]a
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generate f = [ f i | i <- [0 .. <n] ]
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/**
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* Sort a sequence of elements. Equivalent to 'sortBy (<=)'.
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*/
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sort : {a, n} (Cmp a, fin n) => [n]a -> [n]a
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sort = sortBy (<=)
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/**
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* Sort a sequence according to the given less-than-or-equal relation.
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* The sorting is stable, so it preserves the relative position of any
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* pair of elements that are equivalent according to the order relation.
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*/
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sortBy : {a, n} (fin n) => (a -> a -> Bit) -> [n]a -> [n]a
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sortBy le vs =
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if `n == (0 : Integer) then vs
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else drop`{1 - min 1 n} (insertBy (vs@0) (sortBy le (drop`{min 1 n} vs)))
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where
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insertBy : {k} (fin k) => a -> [k]a -> [k+1]a
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insertBy x0 ys = xys.0 # [last xs]
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where
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xs : [k+1]a
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xs = [x0] # xys.1
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xys : [k](a, a)
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xys = [ if le x y then (x, y) else (y, x) | x <- xs | y <- ys ]
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// GF_2^n polynomial computations -------------------------------------------
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/**
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