Skip to main content

plotting - How do I add contour labels to contour plot?


I tried


ContourPlot[f[x, y], {x, -2, 2}, {y, -2, 2}, ContourLabels->automatic] 

, but it messes up the contourplot. How can I just add values to the contours for


ContourPlot[f[x, y], {x, -2, 2}, {y, -2, 2}]

?



Answer



Looking at the rather dismal automatic placement of contour labels in the example Sin[x y], I thought it may be worth pointing out that you can often get better results with customized placement.



For this, I devised a function burnTooltip in this answer. Here is how to use it for this question:


Options[burnTooltips] = {ImageSize -> 360, 
"LabelFunction" -> (Framed[#, FrameStyle -> None,
RoundingRadius -> 8, Background -> RGBColor[1, .8, .4]] &)};

burnTooltips[plot_, opt : OptionsPattern[]] :=
DynamicModule[{ins = {}, wrapper = OptionValue["LabelFunction"],
toolRule =
Function[{arg},
Tooltip[t__] :>

Button[Tooltip[t],
AppendTo[arg,
Inset[wrapper[Last[{t}]], MousePosition["Graphics"]]]],
HoldAll]},
EventHandler[
Dynamic@Show[plot /. toolRule[ins], Graphics@ins,
ImageSize -> OptionValue[ImageSize]], {"MouseUp",
2} :> (toolRule = {} &)]]

f[x_, y_] := Sin[x y]

p = ContourPlot[f[x, y], {x, -2, 2}, {y, -2, 2},
ContourLabels -> Automatic];

burnTooltips[p]

tooltipburned


When you execute the last line, the plot appears and tooltips will be shown when you hover over the contours. If you see a tooltip in a location that you like, click the mouse. Repeat this for as many labels as you need. Every time you click, a new label will be added permanently at the mouse position. When you're done, you have to right-click on the plot. That will end the dynamic interactivity and burn the existing labels in place.


Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...