On Wednesday, March 28, 2012 10:54:02 PM UTC+5:30, Stefan Krastanov wrote: > > > It is just a helper tool for plotting. As mentioned in the paper, we > would > > like to handle plots like y < sqrt(x). > > mpmath gives a result something like below for sqrt([-0.5,0.5]) > > > > In [10]: a = iv.mpf([-0.5,0.5]) > > In [11]: a**0.5 > > Out[11]: ([-0.70710678118654757274, 0.70710678118654757274] + > > [-0.70710678118654757274, 0.70710678118654757274]*j) > > I don't get this. How is interval arithmetics defined over the complex > numbers? > > Are you saying that there is a bug in mpmath's interval arithmetics? > Not exactly a bug. They have an implementation for complex numbers also. Basically sqrt([-0.5,0,5]) can lie between the intervals mentioned, which is true.
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