Skip to main content

plotting - New behavior of PlotRange in Mathematica 10


In Mathematica 10, when I plot data that has small changes around some non-zero value, the plot chooses a PlotRange that "collapses" the data so that the variations cannot be seen. The only way I can find to reproduce the results seen in prior versions is to manually set the PlotRange. Is this a bug? Is there a way to redefine the function that computes PlotRange?


Here is a simple example of the problem I have.


dat = {{7.36107564302725094634299*^-8,6.49517319445169858694755},   
       {1.872486493499905555253878*^-7,6.495173287782000920228519}, 
       {3.295280057690389061023151*^-7,6.495173324963207553515714},
       {4.742955045429201620632748*^-7,6.495173299191079237788739}, 

       {5.950099990519129421821797*^-7,6.495173215270764724855183},
       {6.695807917858125246686823*^-7,6.495173088580509534386944}, 
       {6.843647194344045088159516*^-7,6.495172942307050194820725}};

ylim = {Min[#], Max[#]} &[#[[2]] & /@ dat]

ListLinePlot[dat, PlotRange -> All]

enter image description here


ListLinePlot[dat, PlotRange -> {All, ylim}]


enter image description here


In Mathematica version 9


ListLinePlot[dat, PlotRange -> All]

v9



Answer



After some spelunking it appears I have an answer and solution: the behavior is as intended, and it is controlled by a Method option "AllowMicroRanges".


ListLinePlot[dat,
  PlotRange -> Full,  

  Method -> {"AllowMicroRanges" -> #}
] & /@ {True, False}

enter image description here


It seems this option may also be given directly, outside of Method, but if you wish to control the default for this option without setting an overall Method you must set it for System`ProtoPlotDump`iListPlot or you get a "... is not a known option for ListLinePlot" message.


SetOptions[System`ProtoPlotDump`iListPlot, "AllowMicroRanges" -> True]

Comments

Post a Comment

Popular posts from this blog

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-...
Post a Comment
Read more

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...
Post a Comment
Read more

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...
Post a Comment
Read more