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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]

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