$Version
"10.0 for Mac OS X x86 (64-bit) (September 10, 2014)"
From the documentation at http://reference.wolfram.com/language/tutorial/Options.html the default for PlotPoints
is 50.
To determine the default for MaxRecursion
, let
f[x_] = Product[x + n (-1)^n, {n, -4, 5}] E^(-x^2/2);
The number of points for the Plot
of f[x]
with the defaults for PlotPoints
and MaxRecursion
is
auto = Cases[Plot[f[x], {x, -5, 4}, PlotRange -> All],
Line[pts_] :> Length[pts], Infinity][[1]]
1154
With the default PlotPoints
and varying MaxRecursion
check for the same number of points:
Select[
Cases[
Plot[f[x], {x, -5, 4},
PlotRange -> All,
MaxRecursion -> #],
Line[pts_] :> {#, Length[pts]},
Infinity][[1]] & /@ Range[15],
#[[2]] == auto &]
{{6, 1154}}
Hence, the default MaxRecursion
is 6
Options[p1]
although this can sometime also showAutomatic
for some of internal options. $\endgroup$AbsoluteOptions[p1, PlotPoints]
, butAbsoluteOptions[]
has a lot of bugs and doesn't work forPlotPoints
$\endgroup$AbsoluteOptions[p1, PlotPoints]
returns empty forp1 = Plot[Sin[x], {x, 0, Pi}, PlotPoints -> Automatic]
on windows, V 10.01. So you are right, it has a bug. $\endgroup$