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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