RosettaCodeData/Task/Burrows-Wheeler-transform/Mathematica/burrows-wheeler-transform.math

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Plaintext

ClearAll[BurrowWheeler, InverseBurrowWheeler]
BurrowWheeler[sin_String, {bdelim_, edelim_}] := Module[{s},
s = Characters[bdelim <> sin <> edelim];
s = RotateLeft[s, #] & /@ Range[Length[s]];
StringJoin[LexicographicSort[s][[All, -1]]]
]
InverseBurrowWheeler[sin_String, {bdelim_, edelim_}] := Module[{s, chars},
chars = Characters[sin];
s = ConstantArray[{}, Length[chars]];
Do[
s = LexicographicSort[MapThread[Prepend, {s, chars}]];
,
{Length[chars]}
];
StringTake[StringJoin[SelectFirst[s, Last /* EqualTo[edelim]]], {2, -2}]
]
BurrowWheeler["BANANA", {"^", "|"}]
InverseBurrowWheeler[%, {"^", "|"}]
BurrowWheeler["appellee", {"^", "|"}]
InverseBurrowWheeler[%, {"^", "|"}]
BurrowWheeler["dogwood", {"^", "|"}]
InverseBurrowWheeler[%, {"^", "|"}]