Skip to main content

replacement - Pattern matching to a function evaluation inside an Association


I find the following behaviour deeply counter-intuitive:


<|1 -> 123.456 |> /. {x_?NumericQ -> Round[x]}

(* <|1 -> Round[123.456]|> *)

That is, if I make a rule-based replacement of things that sit as values inside an Association object, and I require even a minimal amount of processing on the replacement, then it is just returned unevaluated.



Maybe I'm just completely getting associations wrong, but this is not at all the behaviour I expected. Instead, I would expect this to behave exactly like lists would do in this situation:


{1 -> 123.456} /. {x_?NumericQ -> Round[x]}

(* {1 -> 123} *)

Is this a bug? If not, what causes this behaviour? Is there some clean way to avoid it? I should note that if you copy <|1 -> Round[123.456]|> into a blank cell and run that, it simplifies to <|1 -> 123|>, but passing the result through Evaluate doesn't do the same.


<|1 -> 123.456 |> /. {x_?NumericQ -> Round[x]}
Evaluate[%]

(* <|1 -> Round[123.456]|>

<|1 -> Round[123.456]|> *)

In case this is a bug, I'm running version 11.0.0 for Linux x86 (64-bit) (July 28, 2016), and I observe the same behaviour in version 10.4.1 for Linux x86 (64-bit) (April 11, 2016).



Answer



Association is HoldAllComplete. Once it is created, its parts will then normally be held unevaluated. Use RuleCondition (or other options considered in this question) to force the r.h.s. of the rule to evaluate in-place:


<|1 -> 123.456|> /. {x_?NumericQ :> RuleCondition @ Round[x]}

(* <|1 -> 123|> *)

Note that when you enter



<|1 -> Round[123.456]|>

(* <|1 -> 123|> *)

the Round function gets evaluated inside all right, because the evaluation here is inside a constructor, and it evaluates its arguments before constructing an association. But once it is constructed, no further evaluation can normally happen inside it (unless forced in some way, like e.g. the one I suggested above).


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...

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]