All,
While looking over the polar plot code I came across the following issue: When
plotting something like 'polar( [2*pi/180, 358*pi/180], [2.0, 1.0] )' the
plotted line will actually wrap around the origin of the plot before reaching
its destination. Initially I thought that this was correct behavior. The line
numerically passed through all angles between 2 and 358 degrees in a linear
fashion. However after consulting several colleagues and text books I believe
that the behavior is actually wrong.
It is my understanding that for polar plots there is no linear mapping of the
axes as it is currently implemented. Rather for a simple two-point line
defined in polar coordinates, the line should essentially take the direct
route. This is highlighted by the two-point equation of a line for polar plots:
r = ( r1*r2*sin(t2-t1) ) / ( (r1*sin(t-t1)) - (r2*sin(t-t2)) )
If you were to plug in the two points given above, then increment theta (t)
from 2 degrees to 358 degrees, then convert to Cartesian cords, and plot the
results, you will get the correct line that directly crosses the zero degree
line and not one that wraps around the origin.
Is the polar plot function implemented this way on purpose? Which way should
it really be implemented?
Thanks,
--James Evans
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