So, I haven't looked at profiling for p-adics for quite a while. But one
way to speed up this kind of item creation is to implement a morphism from
ZZ to Qp and then write a super-fast _call_ method. I can't do it right
now, but I can provide advice if someone else wants to.
David
On Fri, Aug 13, 2010 at 1:31 PM, David Harvey <dmhar...@cims.nyu.edu> wrote:
> Hi,
>
> sage: K = Qp(13, 5)
> sage: 13^5
> 371293
>
> sage: y = K(100000)
> sage: z = K(200000)
> sage: timeit("x = y * z")
> 625 loops, best of 3: 961 ns per loop # varies a bit but this is typical
> sage: timeit("x = y + z")
> 625 loops, best of 3: 942 ns per loop # ditto
>
> That's the cost of arithmetic. Pretty slow in my opinion, but anyway. Here
> is the real problem:
>
> sage: timeit("x = K(4)")
> 625 loops, best of 3: 22.6 µs per loop
> sage: y = int(4)
> sage: timeit("x = K(y)")
> 625 loops, best of 3: 23.2 µs per loop
> sage: from sage.rings.padics.padic_capped_relative_element import
> pAdicCappedRelativeElement
> sage: timeit("x = pAdicCappedRelativeElement(K, 4)")
> 625 loops, best of 3: 17.6 µs per loop
>
> So there seems to be serious overhead in several places. Note that the cost
> cannot be in determining the valuation, since the simple "x = y + z" would
> have to do that too.
>
> I ran into this while trying to multiply a p-adic by an integer:
>
> sage: y = K(100000)
> sage: z = 200000
> sage: timeit("x = y * z")
> 625 loops, best of 3: 23.9 µs per loop
>
> Is there an easy way to fix this?
>
> david
>
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