On Monday, May 20, 2013 2:40:57 PM UTC+1, vdelecroix wrote:
> mpfi (on which RIF is based) is implemented in such way that you
> *always* have a good answer.
A good answer, but not the mathematically correct answer for the image of
the error interval. For example (I'll leave it as an exercise to write a
similar unstable function with sin and 1/x:
def unstable(x):
if x == 0.01:
return 1
else:
return x
sage: unstable( RIF(0.0, 0.0) ) # correct
0
sage: unstable(0.01)
1
sage: unstable( RIF(-0.1, 0.1) ) # interval contains 0.01, so value
attains 1 on interval
0.?
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