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plotting - MatrixPlot with Tooltips


MatrixPlot is very nice to have a first look of data, I would like to have a MatrixPlot with tooltips for each value. I tried adding Tooltip to all the values but it didn't work. My matrix is not very big (~20x25), so each square is visible.


EDIT: This is the version I did using the answer of Heike:


matPlot[matWithTooltips_, opts : OptionsPattern[]] := 

With[{dim = Dimensions[matWithTooltips],
mat = matWithTooltips /. Tooltip[a_, ___] :> a},
DynamicModule[{pt = {0, 0}, ij, xy, label, direction},
direction[mxy_] := 1 - 2 Boole[Thread[mxy > dim/2]];
LocatorPane[Dynamic[pt],
Dynamic[
xy = Floor[pt];
ij = {dim[[1]], 1} + Cross[xy];
label = If[And @@ Thread[1 <= ij <= dim],
{{FaceForm[], EdgeForm[{Thick, LightGray}], Rectangle[xy]},

Text[
Framed[Replace[
Extract[matWithTooltips, ij], {Tooltip[a_, b_] :> b,
Tooltip[a_] :> a}], Background -> White],
direction[xy] + xy,
-1.2 direction[xy]]},
{}];
MatrixPlot[mat, Epilog -> label, opts]],
AutoAction -> True,
Appearance -> None]]]


The main improvement is that it can receive a matrix with its own tooltips in the data.


Thanks to all for the help.



Answer



This is just an elaboration of faleichik's answer. To create a MatrixPlot with tooltip labelling and highlighting of the selected square similar to for example BarChart or BubbleChart you could do something like


matPlot[mat_, opts : OptionsPattern[]] :=
With[{dim = Dimensions[mat]},
DynamicModule[{pt = {0, 0}, ij, xy, label, direction},
direction = 1 - 2 Boole[Thread[# > dim/2]] &;
LocatorPane[Dynamic[pt],

Dynamic[xy = Floor[pt];
ij = {dim[[1]], 1} + Cross[xy];
label = If[Nand @@ Thread[1 <= ij <= dim], {},
(* else *)
{{FaceForm[], EdgeForm[{Thick, LightGray}], Rectangle[xy]},
Text[Framed[mat ~Extract~ ij, Background -> White],
direction[xy] + xy, -1.2 direction[xy]]}];
MatrixPlot[mat, Epilog -> label, opts]],
AutoAction -> True,
Appearance -> None]

]]

Screenshot


mat = RandomReal[1, {30, 40}];
matPlot[mat, ColorFunction -> "DeepSeaColors"]

screenshot


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