Re: Problems with absolute PlotRange

• To: mathgroup at smc.vnet.net
• Subject: [mg104641] Re: [mg104562] Problems with absolute PlotRange
• From: DrMajorBob <btreat1 at austin.rr.com>
• Date: Thu, 5 Nov 2009 03:52:49 -0500 (EST)
• References: <200911040633.BAA08523@smc.vnet.net>

```It appears that's the very picture of a broken PlotRange (and
AbsoluteOptions thereof).

Bobby

On Wed, 04 Nov 2009 00:33:03 -0600, Harrie Kraai <hakraai at xs4all.nl> wrote:

> Hi, I met three problems with determining the absolute PlotRange for a
> Graphic
>
> ************************************************************************
> PROBLEM 1: plotrange for point sets
>
> -->
> tab = Table[{RandomReal[0.5], RandomReal[{0.2, 0.4}]}, {10}];
> lp = ListPlot[tab];
> AbsoluteOptions[lp, PlotRange]
> <--
>
> output: {PlotRange -> {{0., 1.}, {0., 1.}}}, which is some sort of
> default
>
> -->
> lp2 = ListPlot[tab, Joined -> True];
> AbsoluteOptions[lp2, PlotRange]
> <--
>
> out: {PlotRange -> {{0.0371531, 0.369901}, {0.204445, 0.362556}}}, which
> depends on random points of course, but is correct in my case
>
> exactly the same thing happens using Graphics[Point[tab]] versus
> Graphics[Line[tab]]
>
> Why doesn't Mathematica report the absolute plotrange? After all, it has
> determined one to be able to plot in the first place...
>
> *************************************************************************
>
> PROBLEM 2: explicite PlotRange, short notation (tab defined above)
>
> -->
> gr = Graphics[Line[tab], PlotRange -> 0.5]; (*Use explicit plotrange,
> shorthand notation*)
> AbsoluteOptions[gr, PlotRange]
> <--
>
> produces an error message "PlotRange::prng", obviously it does not
> recognize the (new?) style of PlotRange setting, while the graphics plot
> ok.
>
>
> ************************************************************************
>
> PROBLEM 3: after geometric transformation (tab defined above)
>
> -->
> gr2 = Graphics@
>    GeometricTransformation[Line[tab], {{{1, 0}, {0, 1}}, {0, 0}}];
> (* Essentially an identity transformation *)
> AbsoluteOptions[gr2, PlotRange]
> <--
>
> output: {PlotRange -> {{0., 1.}, {0., 1.}}}, after
> GeometricTransformation the PlotRange is lost....
>
>
> ************************************************************************
>
> Apparently the reported PlotRange for AbsoluteOptions has a number of
> problems, or am I missing a point here?
>
> HK
>

--
DrMajorBob at yahoo.com

```

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