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plotting - Iterator variable not blocked in ParametricPlot


Bug introduced in 10.0 and fixed in 10.3




It appears that perhaps the iterator variable r is not Block-ed in the ParametricPlot code below. This does not happen with other Plot* commands nor with Table. The plot is produced successfully, however.



r = {0., 0.5, 1.};
ParametricPlot[r {Cos[t], Sin[t]}, {r, 0, 1}, {t, 0, 2 Pi}]


Thread::tdlen: Objects of unequal length in {0.,0.5,1.} {Cos[t],Sin[t]} cannot be combined. >>



Am I doing something wrong, or is it a bug?


This happens in V10.0.2 and V10.1 (Mac OSX). It does not happen in V9. I came across this in my answer to How to make a ArrayPlot/MatrixPlot in polar coordinates?.



Answer



I assume it is a bug based on the following findings:





  • In v9.0.1 it does not happen.




  • Adding Evaluated -> False does not fix it. Strangely Evaluated -> True does fix it.




  • As you mention, other plotting functions, such as ParametricPlot3D, do not have this problem, regardless of the Evaluated setting.





This is not an answer, just some arguments on why I think it is a bug.


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