Re: Confusing Behavior of LogPlot vs. Plot

• To: mathgroup at smc.vnet.net
• Subject: [mg24843] Re: Confusing Behavior of LogPlot vs. Plot
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Wed, 16 Aug 2000 03:24:08 -0400 (EDT)
• References: <8naqgs\$f02@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Tony,
I give an explanation and a work-round.

Needs["Graphics`"];
f[a_, x_] := Exp[-a x^2];
x = 3.;
a = 4; LogPlot[f[a, x], {x, -1, 1}] // Short

ScaledPlot[{f[a, x]}, <<4>>, Options[Li<<10>>t]]

Explanatiin:

Attributes[LogPlot]

{HoldFirst}

So the x in in { x, -1, 1} is picking up the assignment x=3 and we are then
evaluating
LogPlot[f[a, x], {3., -1, 1}].
(why is LogPlot not protected?)

This evaluation of x does not happen with Plot because

Attributes[Plot]

{HoldAll, Protected}

Work-round:

We can block out x and get the graphics:

Block[{x}, a = 4; LogPlot[f[a, x], {x, -1, 1}]];

but, unfortunately, simply giving LogPlot the attribute HoldAll  does not
work - the package needs to be be examined.

--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"AES" <siegman at stanford.edu> wrote in message
news:8naqgs\$f02 at smc.vnet.net...
> If I run the following input cells with the "Table" cell commented out
> as shown, I get four valid and correct plots.
>
>    Remove["Global`*"]
>
>    Needs["Graphics`"]
>
>    f[a_, x_] := Exp[-a x^2]
>
>    a = 1; Plot[f[a, x], {x, -1, 1}]
>
>    a = 1; LogPlot[f[a, x], {x, -1, 1}];
>
>    (* x = 3.; Table[{a, f[x, a]}, {a, 0, 2}] // TableForm *)
>
>    a = 4; Plot[f[a, x], {x, -1, 1}]
>
>    a = 4; LogPlot[f[a, x], {x, -1, 1}]
>
> If, however, I remove the (* and *) and run the notebook including the
> "Table" input cell, both "Plot" plots are still fine, still give correct
> results, but the second "LogPlot" cell doesn't give me a plot at all, it
> gives me the list of options for something called "ScaledPlot".
>
> (With various other test circumstances, the repeated "Plot" cells always
> continue to function OK, but the repeated "LogPlot" cell gives other
> weird results, e.g, a totally incorrect plot.)
>
> If I've somehow goofed on this, I apologize -- but if this is how
> LogPlot really works, I'd say that's inexcusably bad interface design.
> If LogPlot looks, smells, and feels like Plot, and does essentially the
> same job as Plot, it should *function* just like Plot.
>

```

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