RosettaCodeData/Task/Parsing-RPN-calculator-algo.../Mathematica/parsing-rpn-calculator-algo...

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calc[rpn_] :=
Module[{tokens = StringSplit[rpn], steps},
steps = FoldList[
Switch[#2, _?DigitQ, Append[#, FromDigits[#2]], "^",
Append[#[[;; -3]], #[[-2]]^#[[-1]]], "*",
Append[#[[;; -3]], #[[-2]] #[[-1]]], "/",
Append[#[[;; -3]], #[[-2]]/#[[-1]]], "+",
Append[#[[;; -3]], #[[-2]] + #[[-1]]], "-",
Append[#[[;; -3]], #[[-2]] - #[[-1]]]] &, {}, tokens][[2 ;;]];
Grid[Transpose[{# <> ":" & /@ tokens,
StringRiffle[ToString[#, InputForm] & /@ #] & /@ steps}]]];
Print[calc["3 4 2 * 1 5 - 2 3 ^ ^ / +"]];