Dynamic control values for Slider2D

Question

I would like to have a Manipulate object with a 2D slider whose boundaries change dynamically depending on other controls.

For linear sliders this seems to work as expected. As i increases the lower bound for j increases too.

Manipulate[j,{i, 1, 10, 1},{j, i, 10, 1}]

sample code output

But if I do this for a 2D slider control, I get something weird:

Manipulate[P,{a, 0, 1, 0.01},{P, {a, 0}, {1, 1}}]

sample code output

If works if I nest two Manipulates, but this doesn't look that pretty:

Manipulate[Manipulate[P, {P, {a, 0}, {1, 1}}], {a, 0, 1, 0.01}]

sample code output

What am I doing wrong?

This works "out of the box" for me using 10.0.1 on OS X 10.9.5 What V and platform are you using? — Mike Honeychurch, Sep 30, 2014 at 21:23
@MikeHoneychurch: This is Mathematica 9.0.0.0 on OS X 10.8.5. If it works as expected for you on your newer setup, it sounds like this was a bug. But the best kind of bug, that has a workaround and is fixed in the current release. — Matthew Leingang, Oct 1, 2014 at 16:31

kglr · Accepted Answer · 2014-09-30 15:43:55Z

1

I think you need something like

Manipulate[P, {a, 0, 1, 0.01}, {P, {a, 0}, {1, 1}, ControlType -> Slider2D}]

enter image description here

answered Sep 30, 2014 at 15:43

kglr

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$\begingroup$ Aha, works! As I understand it, Mathematica tries to guess the best control type based on the parameter description, and ControlType can be used to force a particular control. I'm surprised that it needs to be forced here but I'll take it. $\endgroup$
– Matthew Leingang
Sep 30, 2014 at 15:52
$\begingroup$ @MatthewLeingang, that's the way i also understand it. $\endgroup$
– kglr
Sep 30, 2014 at 15:59

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