Re: tooltip - evaluate function at point
- To: mathgroup at smc.vnet.net
- Subject: [mg98764] Re: tooltip - evaluate function at point
- From: dbreiss at gmail.com
- Date: Sat, 18 Apr 2009 03:38:42 -0400 (EDT)
- References: <gs6pjo$h7i$1@smc.vnet.net> <gs9ejj$ms2$1@smc.vnet.net>
Just so folks see how this turned out. Part of he problem is that
what works in Version 7 doesn't always work n version 6. I created a
possible solution that works around the bug in ContourPlot from
veroins 6.
--D
To: "Cristina Ballantine" <>
From: David Reiss <>
Subject: [mg98764] Re: tooltip - evaluate function at point
Cc:
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HI Cristina ,
Of course the important question at this point is to see whether we
are using the same version of Mathematica. I am doing this with
Version 7 on OSX. It seems to work for me both on the contour and off
of it.
I agree that the documentation for ContourLabels is somewhat obscure.
So, I just tested the code that I sent to you in Mathematica 6 and
indeed it does not behave properly. Clearly there is a bug in version
6 that was fixed in version 7.
So I have to trick the whole graphics thing in Verions 6 to make this
work. Try the following (I use a transparent rectangle above the
contourplot so that the Tooltip is getting its coordinates from the
rectangle rather than getting it from the buggy ContourPlot):
With[{plot =
ContourPlot[Arg[Gamma[x + I*y]] == 0, {x, -10, 10}, {y, -10, 10},
PlotPoints -> 20, ContourLabels -> None],
rect = Graphics[{Opacity[0], Rectangle[{-10, -10}, {10, 10}]}]},
Dynamic@
Tooltip[Show[plot, rect],
With[{z = Complex @@ MousePosition["Graphics"]}, {z, Gamma[z]}]]]
Best,
David
At 9:46 PM -0400 4/17/09, you wrote:
Hi David,
I copied and pasted the code and it does the exact same thing as the
previous code you wrote: it gives the value of Gamma at all points
other than the points on the curves. At the points of the curves it
just gives Arg[Gamma[x+I*y]]==0.
I couldn't find anything in the documentation of ContourLabels
referring to tooltip other than "The label can be any expression or
graphic, and can include constructs such as Tooltip" but I don't
understand what that means. It seems to me that ContourLabels is just
a label on the contours on the plot. If specified, they appears
regardless of the position of the mouse. But maybe I am wrong.
Thanks again for your help.
Cristina
>>> David Reiss <> 04/17/09 9:05 PM >>>
Hi Crristina,
I am slightly puzzled. The code that I wrote below does seem to do
exactly what you wish. Also if you review the documentation for
ContourLabels you will see how it controls the tooltip.
Best regards,
David
At 8:43 PM -0400 4/17/09, you wrote:
>Hi David,
>
>Thank you for looking into this again. Unfortunately, ContourLables
>doesn't seem to be connected to Tooltip. There must be some other
>way to turn off the tooltip label and overwrite it with a new label.
>
>
>Best wishes,
>
>Cristina
>
>>>> David Reiss <> 04/17/09 8:52 AM >>>
>Hi Cristina,
>The problem here seems to be that ContourPlot has built into it a tooltip
>that tells you which equation the contour lines correspond to. This
>actually was what I thought was a bug in my example, but I realize that it
>is a "feature" of ContourPlot. I have to think of how to turn that off, a=
s
>that tooltip seems to preempt any other tooltip that is imposed on the plo=
t
>as I did.
>
>....Ah, this seems to do the trick, I think, using the option ContourLabel=
s
>-> None]:
>
>With[{plot =
> ContourPlot[Arg[Gamma[x + I*y]] == 0, {x, -10, 10}, {y, -10, 10},
> PlotPoints -> 20, ContourLabels -> None]},
> Dynamic@Tooltip[
> plot, (With[{z = Complex @@ MousePosition["Graphics"]}, {z, Gamma[z]=
}])]]
>
>Yes, if you look up the ContourLabels documentation, this is indeed what's
>needed.
>
>
>Does this work for you?
>
>
>Best regards,
>
>
>David
>
>
>On Thu, Apr 16, 2009 at 9:50 PM, Cristina Ballantine <
>> wrote:
>
>> David,
>>
>> Thank you for your help. Unfortunately, this shows the value of Gamma a=
t
>> all points other than the points on the solution curves given by
>> Arg[Gamma[x+I*y]]==0. When the mouse goes over the points on the cu=
rve the
>> tooltip gives only "Arg[Gamma[x+I*y]]==0. But I am interested in th=
e value
>> of Gamma precisely at the points on the curves above.
>>
>> Best wishes,
>>
>> Cristina
>>
>> >>> <dbreiss at gmail.com> 04/16/09 8:09 PM >>>
>> Here is the start of one sort of approach. It seems ot have some
>> bugginess though. But perhaps this will get you going:
>>
>> With[{plot =
>> ContourPlot[Arg[Gamma[x + I*y]] == 0, {x, -10, 10}, {y, -10, 10},
>> PlotPoints -> 20]},
>> Dynamic@Tooltip[
>> plot,
>> (With[{z = Complex @@ MousePosition["Graphics"]},
>> {z, Gamma[z]}])
>> ]
>> ]
>>
>>
>>
>> I suspect that someone else will give you a more stable approach....
>>
>> --David
>>
>>
>>
>> On Apr 16, 4:18 am, "Cristina Ballantine" <cball... at holycross.edu>
>> wrote:
>> > I would like to plot the solutions to an equation using ContourPlot a=
nd
>> > add a tooltip that evaluates a different function at the points on th=
e
>> > solution. In particular, for the plot
>> >
>> > ContourPlot[Arg[Gamma[x + I*y]] == 0, {x, -10, 10}, {y, -10, 10},
>> PlotPoints -> 20]
>> >
>> > when the cursor is over a solution point I would like the ToolTip to
>> > display the value of Gamma at that point. Is this possible? If so, an=
y
>> > suggestion is greatly appreciated.
>> >
>> > Cristina
>>
>>
>>
>
>
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