Created
November 7, 2014 19:03
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Mathematica Let scoping construct
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ClearAll[Let, let, symbolOrListQ]; | |
SetAttributes[{Let, let, symbolOrListQ}, HoldAll]; | |
Let::lvset = "Local variable specification `1` is not valid."; | |
Let /: Verbatim[SetDelayed][lhs_, rhs : HoldPattern[Let[__, _]]] := | |
Block[{With}, Attributes[With] = {HoldAll}; | |
lhs := Evaluate[rhs /. HoldPattern[With[{}, b_]] :> b]]; | |
Let[args : HoldPattern[Set[_?symbolOrListQ, _] ...], body_] := | |
let[{args}, body, {}, {}]; | |
Let[args___, _] /; Message[Let::lvset, HoldForm@{args}] = Null; | |
symbolOrListQ[_Symbol] = True; | |
symbolOrListQ[{___?symbolOrListQ}] = True; | |
symbolOrListQ[_] = False; | |
let[{}, body_, {}, _] := With[{}, body]; | |
let[{Set[{s___}, rhs_], rest___}, body_, dec_, syms_] := | |
Module[{temp}, | |
partThread[s, temp] /. | |
Hold[d___] :> let[{temp = rhs, d, rest}, body, dec, syms]]; | |
let[{Set[sym_, rhs_], rest___}, body_, {decs___}, {syms___}] /; | |
FreeQ[Unevaluated[rhs], Alternatives[syms]] := | |
let[{rest}, body, {decs, sym = rhs}, {syms, HoldPattern[sym]}]; | |
let[{args___}, body_, {decs__}, _] := | |
Block[{With}, Attributes[With] = {HoldAll}; | |
With[{decs}, Evaluate[let[{args}, body, {}, {}]]]]; | |
SetAttributes[partThread, HoldAll]; | |
partThread[l___, rhs_] := | |
Join @@ Replace[ | |
MapIndexed[Append[#, First@#2] &, Thread[Hold[{l}]]], | |
Hold[s_, i_] :> Hold[s = rhs[[i]]], {1}]; | |
ClearAll[f] | |
f[x_Integer] := | |
Let[z@range = Range[2] + x, {a, b} = range, c = g[range], | |
h[a, b, c]]; |
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