On Friday, February 9, 2018 at 11:03:11 AM UTC, Marco Caliari wrote:
>
> Hi, the following script
>
> def test(m,c,precision):
>     M = 3*m
>     RRR = RealField(prec = precision)
>     coef02 = [RRR(1/i) for i in [1..M+1]]
>     g = coef02[M]
>     for i in [M-1..2,step=-1]:
>         g = x*g+coef02[i]
>     ME = 32
>     disk = [exp (2*pi.n(precision)*I*i/ME) for i in range(ME)]
>     epsilon1 = max([abs(g(x=z)) for z in disk])
>     return
> m = 40
> for c in [1/2..10,step=1/2]:
>     for ell in [1..10]:
>         test(m,c,165)
>
> Indeed, comparing the objects on the heap that weren't there before the 
loop I find:

[(<type 'builtin_function_or_method'>, 1),
 (<type 'sage.rings.rational.Rational'>, 1),
 (<type 'instancemethod'>, 1),
 (<type 'set'>, 1),
 (<type 'dict'>, 1),
 (<type 'tuple'>, 3),
 (<type 'list'>, 3),
 (<type 'frame'>, 3),
 (<type 'weakref'>, 28),
 (<type 'sage.rings.real_mpfi.RealIntervalFieldElement'>, 6200),
 (<type 'sage.rings.real_mpfr.RealNumber'>, 29999),
 (<type 'sage.rings.complex_number.ComplexNumber'>, 1457000)]

The real numbers mostly seem to be approximations to pi. Using 
objgraph.show_backrefs I'm not getting anything useful. We're definitely 
leaking but I wasn't able to identify a cache that's keeping references. Is 
that any change that we're doing something wrong with an INCREF/DECREF ?

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