plotting - PlotRange precision limit?

I'm trying to plot a set of points with 9 digits precision with a properly range labelling Y-axis, from a previous question I got two possible ways of doing this:

1st: suggested by @Carl Woll Using BaseStyle -> {PrintPrecision -> 9} as a option in listplot, but Mathematica just seems to ignore the option:

ListPlot[RandomVariate[NormalDistribution[0.8037709, 10^-10], 20], 
 PlotRange -> {0.80377085, 0.80377095}, 
 BaseStyle -> {PrintPrecision -> 9}]

2nd: suggested by @george2079 using this Ticks options:

ListPlot[RandomVariate[NormalDistribution[0.8037709, 10^-10], 20], 
 PlotRange -> {0.80377085, 0.80377095}, 
 Ticks -> {Automatic, {#, NumberForm[N@#, {12, 9}]} & /@ 

    FindDivisions[{0.80377085, 0.80377095}, 10]}]

Both options work fine if PlotRange has 7 digit precision or less, but don't show good results for 8+ digits range, any ideas how to deal with this?

Answer

The problem with my BaseStyle->{PrintPrecision->10} suggestion in M11 is that ListPlot ignores the PlotRange option. So, one can instead use Show afterwards to get the right PlotRange. In M11:

Show[
    ListPlot[
        RandomVariate[NormalDistribution[0.8037709,10^-10],20],
        BaseStyle->{PrintPrecision->10}

    ],
    PlotRange->{{0,20},{0.8037708995,0.8037709005}}
]

Comments

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