Skip to main content

Check if symbol is in core language


How can I check if a symbol is pre-defined by Mathematica, in a way that's backwards compatible with old versions?


i.e. I would like some CoreLanguageQ[x_Symbol] which matches CoreLangaugeQ[Print], but not CoreLanguageQ[f]



Then it can be used to help make code backwards compatible, eg.


If[!CoreLanguageQ[Echo], Echo[x_]:= (Print[x];x)]

Thank you.



Answer



You can look it up using WolframLanguageData, which has a list of all pre-defined symbols:


ClearAll[CoreLanguageQ]
SetAttributes[CoreLanguageQ, HoldAll]
CoreLanguageQ[x_] := With[{name = SymbolName[x]}, CoreLanguageQ[name]]
CoreLanguageQ[x_String] := With[{

names = WolframLanguageData[All, "Name"]
}, MemberQ[names, x]]

CoreLanguageQ[Plot]
(* Out: True *)

CoreLanguageQ[Plott]
(* Out: False *)

Looking at the context of the symbol is also a viable approach. However, the WolframLanguageData approach is appealing because the documentation states that




WolframLanguageData[] gives a list of all Wolfram Language symbols.



Which is to say, the list returned by this function is by definition Wolfram Language. This is as close as a definition of "core language" that we can come.


For the problem in the updated question, it would seem appropriate to check if a symbol exists in the System context like QuantumDot suggests in a comment.


The only backward compatible way to use this would be to create lists of functions available for specific versions and include them in your code. For example:


names = WolframLanguageData[All, "Name"];
versionIntroduced = WolframLanguageData[All, "VersionIntroduced"];
allowed = Pick[names, Thread[versionIntroduced <= 10]];


In this code, allowed holds all the symbols that exist in version 10, presuming that no symbol previously introduced was removed.


Comments

Popular posts from this blog

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

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}]

plotting - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1.