Add bar label according to values of surface from ParametricPlot3D

Question

I'm plotting a function that is in a module and depends on three variables with ParametricPlot3D, and I'm using a color function for the surface. I want to add a bar to the side that has the values of the height z next to the colors it's assigning to the surface. The closest I've found to what I want is this command:

PlotLegends -> 
 BarLegend[{ColorData[{"TemperatureMap", "Reverse"}], {0, 1}}]

However, I don't have the minimum and maximum values of the surface, and I don't know if there's a way to either display the values automatically or find the maximum and minumum values of the plot (I've already tried with FindMaximum and FindMinimum but it doesn't work).

Answer 1

The default for ColorFunctionScaling is True so the color scale is automatically adjusted to the z values

ParametricPlot3D[
 {Cos[u], Sin[u] + Cos[v], 2 (1/2 + Sin[v])},
 {u, 0, 2 π}, {v, -π, π},
 ColorFunction -> ColorData[{"TemperatureMap", "Reverse"}],
 PlotLegends -> Automatic]