Skip to main content

dynamic - How to make a movie from a complex demonstration?


I have a complex Manipulate-based demonstration containing a few sliders and a Setterbar.


I would like to make a movie out of it, avi, or whatever else. The movie will then be used for a journal publication as a Supporting material, so the quality should be good enough.


When the movie plays, the Setterbar should set its first value, then the sliders should move one after another, and then together. Further, the setter bar should set its second value and the slider manipulations should be repeated with this new Setterbar value. And so it should go for all Setterbar values. There will be something like 3-4 of them.


Is it possible at all?


To be more precise, I prepared a simplified demonstration with such controls:


    Manipulate[Plot[{Sin[a*x] + b*Cos[3 a*x], k*x}, {x, 0, \[Pi]}],
{a, 1, 2}, {b, 0, 1}, {k, {0, 0.5, 1}}]


Answer



You can define a function that creates Manipulates with a "fake" SetterBar and a specific AutorunSequencing


m[k_, seq_] := Manipulate[
Plot[{Sin[a*x] + b*Cos[3 a*x], k*x}, {x, 0, Pi}, ImageSize -> 400],
{a, 1, 2}, {b, 0, 1}, Grid@{{"k", SetterBar[k, {0, .5, 1}]}},
AutorunSequencing -> seq, ContentSize -> {420, 270}]

then create the frames for the movie with


frames = Join @@ (ArrayPad[
ImportString[ExportString[#, "AVI"], "ImageList"], {0, 3}, "Fixed"] & /@

Flatten[Table[{m[k, {{1, 1}, {2, 1}}], m[k, {All, 2.85}]}, {k, 0, 1, 0.5}]]);

and export them as using


Export["D:\\animationTest.gif", frames]

SmotherAnimation


or


Export["D:\\animationTest.avi", frames]

Without a specified ContentSize exporting to "AVI" fails, as the size of the frames varies.



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-...