A student of mine recently noticed that sometimes, quiver plots were coming up empty (using the plot_vector_field function from Sage, which passes everything on to quiver). Upon investigation, we saw that some of the array entries passed in were infinity because of where we happened to evaluate the function. It was relatively easy to correct in our case (change the evaluation to miss the bad point), but is there a better way to handle this? Can this be considered a bug in quiver (i.e., returning a blank plot when one of the vectors has an infinite coordinate?).
Here is some example code illustrating the problem:
X,Y = numpy.meshgrid( numpy.arange(-1,1.1,step),numpy.arange(-1,1.1,step) )
U = 1/X
V = Y
Q = pylab.quiver( X,Y,U, V)
When you change step to something that avoids an evaluation at x=0 (say, step=0.13), you get a nice plot.
Is this something that we should be preprocessing in Sage before calling quiver, masking those "bad" points or something? I haven't used masking before, but I'd like to fix Sage's plot_vector_field function to return something sensible, even when the function happens to be infinite at one of the points.