#9138: Categories for polynomial rings
--------------------------+-------------------------------------------------
Reporter: jbandlow | Owner: nthiery
Type: defect | Status: needs_info
Priority: major | Milestone: sage-4.7
Component: categories | Keywords: introspection, categories
Author: Simon King | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
--------------------------+-------------------------------------------------
Comment(by SimonKing):
Idea: Could it be that the length of the method resolution order is
responsible for the slow-down?
With all patches:
{{{
sage: len(type(QQ['x']).mro())
47
sage: len(type(QQ['x','y']).mro())
11
sage: len(type(GF(3)['x','y']).mro())
11
sage: len(type(GF(3)['x']).mro())
49
sage: len(type(ZZ['x']).mro())
41
sage: len(type(ZZ['x']['t']).mro())
41
sage: len(type(QQ['x'].gen()).mro())
9
sage: len(type(QQ['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x'].gen()).mro())
10
sage: len(type(ZZ['x'].gen()).mro())
9
sage: len(type(ZZ['x']['t'].gen()).mro())
9
}}}
With only the patches from #9944:
{{{
sage: len(type(QQ['x']).mro())
39
sage: len(type(QQ['x','y']).mro())
11
sage: len(type(GF(3)['x','y']).mro())
11
sage: len(type(GF(3)['x']).mro())
41
sage: len(type(ZZ['x']).mro())
34
sage: len(type(ZZ['x']['t']).mro())
34
sage: len(type(QQ['x'].gen()).mro())
9
sage: len(type(QQ['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x'].gen()).mro())
10
sage: len(type(ZZ['x'].gen()).mro())
9
sage: len(type(ZZ['x']['t'].gen()).mro())
9
}}}
Without these patches:
{{{
sage: len(type(QQ['x']).mro())
18
sage: len(type(QQ['x','y']).mro())
11
sage: len(type(GF(3)['x','y']).mro())
11
sage: len(type(GF(3)['x']).mro())
20
sage: len(type(ZZ['x']).mro())
15
sage: len(type(ZZ['x']['t']).mro())
15
sage: len(type(QQ['x'].gen()).mro())
9
sage: len(type(QQ['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x','y'].gen()).mro())
8
sage: len(type(GF(3)['x'].gen()).mro())
10
sage: len(type(ZZ['x'].gen()).mro())
9
sage: len(type(ZZ['x']['t'].gen()).mro())
9
}}}
So, the mro of the rings becomes much longer. Could it be that, as a
consequence, it takes longer to find common and frequently used methods
such as `R.parent()` and `R.base_ring()`?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9138#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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