Skip to main content

Compile, "global variables" and recursion


I am trying to do something similar to this, namely to make a Compile'd function outer that itself calls a Compile'd function inner which accesses a variable defined in outer. Copy-pasting the example Leonid gives in the link, I get no errors. However in my case, I want inner to be a recursive function.


So far I have tried (the functions are toy examples):


Clear[inner];
inner = Compile[ {{i, _Integer}, {j, _Integer}},
If[i >= j, Return[], AppendTo[bag, list]; inner[i + 1, j]];
,CompilationOptions -> {"InlineExternalDefinitions" -> True,
"InlineCompiledFunctions" -> False} ]

and



Clear[outer];
outer = Compile[{{i, _Integer}},
Block[{list = Table[{0, 0}, {i}], bag},
bag = {list};
inner[1, i];
bag
]
, CompilationOptions -> {"InlineExternalDefinitions" -> True,
"InlineCompiledFunctions" -> True}
]


Trying to execute this last piece results in the error message:


Compile::cret : The type of return values in (...) are different.
Evaluation will use the uncompiled function.

I have a hard time interpreting the output of CompilePrint in this case, so I cannot pinpoint the error in order to move further with this. Since I am able to create compiled recursive functions just fine in general, and the link provides a "hack" to make inner see the variables in outer, I think it should be possible to do this, but perhaps not...


EDIT: I have verified that the lingering MainEvaluate is not due AppendTo or some-such, by making the function inner even more basic. I have also tried all possible combinations of True/False for the CompilationOptions for both inner and outer with no success. So it seems to me that it's possible to compile either a recursive function, or a compiled function modifying a "global" variable when called from another compiled function, but not both =(




Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...