ParametricPlot - a feature or a bug?
- To: mathgroup at smc.vnet.net
- Subject: [mg39447] ParametricPlot - a feature or a bug?
- From: Vladimir Bondarenko <vvb at mail.strace.net>
- Date: Sun, 16 Feb 2003 06:13:36 -0500 (EST)
- Reply-to: Vladimir Bondarenko <vvb at mail.strace.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
While trying to plot complex parametric plots with large values
of the parameter I run into a problem which boils down to the
following simple observation.
a) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 1 Pi}, AspectRatio -> Automatic];
A perfect circumference.
b) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 200 Pi}, AspectRatio -> Automatic];
Instead of a circumference, not a very wide annulus.
c) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 500 Pi}, AspectRatio -> Automatic];
An annulus which width is equal to the radius of the inner
circumference.
d) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 1000 Pi}, AspectRatio -> Automatic];
A black ring with tiny white spots.
e) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^19 Pi}, AspectRatio -> Automatic];
A funny net.
f) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^20 Pi}, AspectRatio -> Automatic];
A segment.
g) ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 10^26 Pi}, AspectRatio -> Automatic];
Only the axes are shown. There is no graph itself.
Is (at least a part of the shown output) a feature or a bug?
(By the way, before answering why do not try to solve the same
problems with a couple of other systems? ;-)
Best wishes,
Vladimir Bondarenko
Mathematical and Production Director
Symbolic Testing Group
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