Skip to main content

undocumented - How to use Streaming package in v11.1?


I am trying to use the streaming package for lazy list operations demonstrated in this post. But I found that the package was significantly changed in version 11. After some observations, I found that LazyRange was moved to Streaming`ListAPI`Lazy`LazyRange, etc. However I encountered two problems in trivial tasks.



  1. Converting a lazy list to list. Leonid's post suggested Normal, which points to function Streaming`ListAPI`Eager`LazyListToList (this mapping is contained in Streaming`ListAPI`General`$StreamingAPIRegistry). Consider the following example:


ll = 2 # & /@ Streaming`ListAPI`Lazy`LazyRange[Infinity];
fl = Take[ll, 100];
(*part works correctly*)
fl[[10]]

(*20*)
Normal[fl]
(*long unexpected expression*)
Streaming`ListAPI`Eager`LazyListToList[fl]
(*same long unexpected expression*)


  1. Making a lazy tuple. I suppose it is similar(same) to Leonid's implementation here, however, both his example and ordinary syntax fail.


Streaming`ListAPI`Lazy`LazyTuples[{{1}, {2}}]

(*some uncaught errors*)

How to achieve the two tasks mentioned above?



Answer



The patch


Here is a way to get Streaming` working: on a fresh kernel execute the following:


Import["https://raw.githubusercontent.com/lshifr/StreamingPatch/master/StreamingPatchBootstrap.m"]

DownloadAndInstallStreamingPatch[]
Get["StreamingPatch`"]


If this worked, you should be able to use Streaming`. Note however, that the framework itself changed considerably. When time allows, I will try to provide some basic example of how it can be used.


Note also that while DownloadAndInstallStreamingPatch[] needs to be called only once (it installs the patch to your $UserBaseDirectory/ Applications), the Get["StreamingPatch`"] is needed to start every session with Streaming`.


Simple Tests


Here are a few simple tests to check that the patch worked (the patch loads Streaming` so one does not need to do that again, and actually should not).


ll = Streaming`LazyList`LazyListCreate[Range[100000], Byte[10000]]

Compute total:


Total @ ll


(* 5000050000 *)

A different way to do that:


Module[{sum = 0}, Scan[(sum += #) &, ll]; sum]

(* 5000050000 *)

Perform a chain of lazy transforms:


squared = Map[#^2 &, ll]
added = Map[# + 1 &, squared]

primes = Select[added, PrimeQ]

Convert to normal list:


Normal @ primes // Short

(* {2,5,17,37,101,197,<<6645>>,9992001601,9995200577,9996800257,9998800037,9999200017} *)

Notes


Note that the patch has not been really tested more than very basic tests like the ones shown above. Please let me know if it does not work for you in some cases.


Note also, that Streaming` itself is undocumented functionality, for which there are no guarantees that it will not change in the future, or for that matter be present there at all. So use it at your own risk.



However, any feedback is very much appreciated.


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.