plotting - Customizing DensityPlot[]'s automatic bar legend

To get the density plot of a function f[x,y] with a bar legend, I'm using

DensityPlot[f[x,y],{x,0,2 π},{y,0,2 π},PlotLegends -> Automatic]

I'm using LinTicks[] of SciDraw to have the axes ticks in units of pi. I would also like to customize the ticks in the bar legend to change in units of pi. There are some questions (29643, 55150) here that are trying to solve this problem, but in order to use BarLegend[] one needs to know the range of the function being plotted. For the function I'm plotting, the range is not easy to get analytically. Using a somewhat brute-force approach, I can sample f[x,y] and get the min/max to use with BarLegend[], but I'm looking for a more elegant approach to this. How can I solve this problem? Thanks!

Answer

One can use a pure function to specify the ticks of a BarLegend.

f[x_, y_] := Sin[1 + x] + 2 Sin[y] + x

DensityPlot[f[x, y], {x, 0, 2 π}, {y, 0, 2 π}, 
 PlotLegends -> BarLegend[Automatic, 
                          Ticks -> (FindDivisions[{#1, #2, π}, Ceiling[(#2 - #1)/π]] &)]]

Comments

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I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...

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list manipulation - Selecting multiple columns from a matrix?

Sample data: data = { {{2013, 1, 1}, 24.13, 167.67, 231.82}, {{2013, 1, 2}, 32.15, 170.92, 225.99}, {{2013, 1, 3}, 35.43, 172.68, 221.67}, {{2013, 1, 4}, 36.73, 173.05, 218.32}, {{2013, 1, 5}, 58.19, 165.96, 197.05}, {{2013, 1, 6}, 69.99, 163.50, 187.52}, {{2013, 1, 7}, 71.37, 154.21, 175.58}, {{2013, 1, 8}, 72.51, 149.66, 163.25}}; I want a DateListPlot with three graphs, so for a matrix formed by columns 1 and 2, one for columns 1 and 3, and 1 for columns 1 and 4. At the moment I'm using this code: data2 = Transpose[{data[[All, 1]], data[[All, 2]]}]; data3 = Transpose[{data[[All, 1]], data[[All, 3]]}]; data4 = Transpose[{data[[All, 1]], data[[All, 4]]}]; DateListPlot[{data2, data3, data4}, Joined -> True, Filling -> {3 -> {1}}] but I have a hunch that this can be done more efficiently. I don't like the Transpose s in particular. Any ideas? edit (for extra credit) What if I need to multiply the second column by 2, which in my solution is simp...

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