#11856: Raise an overflow error if the exponent of a multivariate polynomial
flows
over
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Reporter: SimonKing | Owner: malb
Type: defect | Status: needs_review
Priority: critical | Milestone: sage-4.7.2
Component: commutative algebra | Keywords: exponent overflow
Work_issues: | Upstream: N/A
Reviewer: | Author: Simon King
Merged: | Dependencies:
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Comment(by SimonKing):
Here are some timings.
With the patch:
{{{
sage: P.<x,y,z> = QQ[]
sage: p = x+y
sage: %timeit q=p^20
625 loops, best of 3: 6.93 µs per loop
sage: p = x+y+z
sage: %timeit q=p^25
625 loops, best of 3: 418 µs per loop
sage: %timeit q=x^2^10
625 loops, best of 3: 2.1 µs per loop
}}}
Without the patch:
{{{
sage: P.<x,y,z> = QQ[]
sage: p = x+y
sage: %timeit q=p^20
625 loops, best of 3: 7.08 µs per loop
sage: p = x+y+z
sage: %timeit q=p^25
625 loops, best of 3: 419 µs per loop
sage: %timeit q=x^2^10
625 loops, best of 3: 2.14 µs per loop
}}}
These are only few data points, but they seem to show that the overhead is
sufficiently small.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11856#comment:7>
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