programming - Control Front End in "mathlink" mode

Note: This question was already posted in the Wolfram community.

In a terminal math session, we can start a front end (FE) easily by launching it though LinkLaunch or by using functions provided in the Developer` context (thanks to Oleksandr for telling me about this). Here is a very basic example that starts a FE and opens a new notebook for you:

<lnk = Developer`InstallFrontEnd["Server"->False];
LinkWrite[lnk,FrontEndToken["New"]]

Unfortunately, the started FE starts the default kernel which is usually a good idea, but here I want to be in control of everything. This means, I would like to provide the Kernel for the FE so that it can connect to it and use it for calculation. So what I really want to have is a Mathematica MathLink program (or JLink) that starts a kernel and an FE, connects both so that the front end uses the kernel as evaluator but all communication goes through my program.

If you are familiar with LinkSnooper, then you see the difference because there, the FE starts the LinkSnooper as special kernel. What I want (not only for snooping, but for a more general problem) is similar but more problematic, because I want to control the kernel starting behavior of the FE from a link and not as user.

Question: Is there any direct way to do it? For instance by giving options to Developer`InstallFrontEnd and using specific FrontEndToken.

Appendix: One way that I haven't tested and which might work is modify the init.m of the FE (usually located it $UserBaseDirectory/FrontEnd/init.m), because there are the settings for the kernel:

EvaluatorNames->{
  "Local" -> {"AutoStartOnLaunch" -> True}, 
  "LinkSnooper" -> {...}
}

So I could theoretically alter the settings there (hopefully on the fly during startup of the FE) and force the FE to connect to my specific kernel.

Comments

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 - 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 - 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....

Blog

Search This Blog