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scoping - What is the purpose of Internal`LocalizedBlock?


I have come across the (internal) use of the function:


Internal`LocalizedBlock


I am trying to determine its purpose. It seem to behave like Internal`InheritedBlock except that a starting value (e.g. {x = 3}) cannot be set.


x = "global"; f[] := x

Internal`LocalizedBlock[{x}, {x, x = 7, f[], Hold[x]}]
x

Internal`InheritedBlock[{x}, {x, x = 7, f[], Hold[x]}]
x



{"global", 7, 7, Hold[x]}

"global"

{"global", 7, 7, Hold[x]}

"global"

What purpose does this function serve? Why would it be used in place of InheritedBlock?



Answer




Internal`LocalizedBlock behaves the same as Block, but it can localize non-Symbols (e.g. f[1], Subscript[x, 0], etc.).


For example,


Internal`LocalizedBlock[{Subscript[x, 0]}, Subscript[x, 0] = 1]
(* 1 *)

Compare this to


Block[{Subscript[x, 0]}, Subscript[x, 0] = 1]
(* During evaluation of In[79]:= Block::lvsym: Local variable specification {Subscript[x, 0]} contains Subscript[x, 0], which is not a symbol or an assignment to a symbol. >> *)
(* Block[{Subscript[x, 0]}, Subscript[x, 0] = 1] *)


It's also worth noting that one cannot assign values in the first argument of Internal`LocalizedBlock


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