#16880: even faster prime_powers
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: u/vdelecroix/16880 | Commit:
Dependencies: #16869, #16878 | Stopgaps:
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Changes (by vdelecroix):
* status: new => needs_review
* branch: => u/vdelecroix/16880
Old description:
> The cythonization of `prime_powers` is much faster (around x4 in the
> timings). We also introduce the keyword `py_ints` as in `prime_range` in
> order to be able to use Python int instead of Sage integers.
>
> Note: I do not like the convention that the name are different
> `prime_powers` vs `prime_range`... why not using `primes` or
> `prime_power_range`?
New description:
The cythonization of `prime_powers` is much faster (around x4 in the
timings). We introduce in a new function `prime_power_range` in
`fast_arith.pyx` (that also has a keyword `py_ints` as `prime_range`).
Note: naming conventions are crazy... right now there are:
- `primes`: iterator over prime numbers
- `prime_range`: return the list of the first prime (fast implementation
in Cython but only handles integer up to `LONG_MAX` and require memory)
- `prime_powers`: return the list of prime powers!
It seems to me that in Sage we tend to have `X_iterator` for iterator and
`Xs` for the list of objects...
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Ticket URL: <http://trac.sagemath.org/ticket/16880#comment:2>
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