RD> I want to construct and plot a Squircle in J. [...]
RD>
RD> Has anyone a good idea for performing that calculation? Could the J
RD> function plot then draw the Squircle?
It is easy to "plot" parametric functions in the complex plane.
Here are three parametric functions, to be computed over parameter
inputs for a full circle, say, -pi to pi in 200 tiny steps:
circle =. cos j. sin
square =. cos j.&* sin
squircle =. (square + circle) % 2: NB. your "mean" of the functions.
NB. Show time!
plot (circle , square ,: squircle) i: 1p1 j. 200
Martin Neitzel
PS:
That * in cos j.&* sin is Sign, bulging out the circle to the full
1 _1 (square) borders.
Have some thoughts on what actually happens when the Sign * acts on and
returns a 0, and how that shows up.
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