#15404: Change coprime_integers(n) in Integer class to use sieving instead of
naive
gcd
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Reporter: spice | Owner: Simon Spicer
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.13
Component: basic arithmetic | Keywords: coprime, integer
Merged in: | Authors: Simon Spicer
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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As written currently, the coprime_integers(n) method in the Integer class
uses gcd naively:
{{{
def coprime_integers(self, m):
...
v = []
for n in range(1,m):
if self.gcd(n) == 1:
v.append(Integer(n))
return v
}}}
This method should be rewritten to use sieving to speed things up.
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Ticket URL: <http://trac.sagemath.org/ticket/15404>
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