#13417: Improved iteration on finite \ZZ-submodules and vector spaces over
finite
fields
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Reporter: tfeulner | Owner:
AlexGhitza
Type: enhancement | Status:
needs_review
Priority: major | Milestone:
sage-5.5
Component: algebra | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Thomas Feulner, Punarbasu Purkayastha | Merged in:
Dependencies: | Stopgaps:
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Comment (by ppurka):
By "norm" I meant that in usual places like textbooks, the convention
followed is to have the first nonzero element as 1. Am I right? The reason
is that once someone new uses this class, the output will not conform to
what one would expect. I am myself not very familiar with projective
spaces, so this was the first thing I noticed. Technically, the output is
correct since the output contains only the representatives.
Echenolizing the basis is too much computations I think. All that is
required is to determine the first nonzero element of a vector and
multiply by its inverse. Something like
{{{#!python
ring = v.base_ring()
for vi in v:
if vi and vi != ring.one():
v = vi**(-1) * v
break
}}}
This can be done only once during the iteration.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13417#comment:10>
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