#21108: Use flattening in quo_rem
-------------------------+-------------------------------------------------
Reporter: | Owner:
vdelecroix |
Type: | Status: needs_review
enhancement |
Priority: major | Milestone: sage-7.3
Component: | Resolution:
algebra |
Keywords: | Merged in:
Authors: | Reviewers: Ben Hutz
Vincent Delecroix |
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/bhutz/21108 | a5931218dac6be179f0338df0e3ce8e4793896c1
Dependencies: | Stopgaps:
#21106 |
-------------------------+-------------------------------------------------
Description changed by vdelecroix:
Old description:
> Using the flattening morphism from #21106 we can divide more polynomials!
> With the branch applied the following works
> {{{
> sage: R = QQ['a','b']['c','d']
> sage: R('(a*b+1)*c + c^2').quo_rem(R('c'))
> (c + a*b + 1, 0)
> }}}
> However, will persist a discrepency between `QQ['a']['b']['c']` and
> `QQ['a','b','c']` when the division is not exact.
> {{{
> sage: R1 = QQ['a']['b']['c']
> sage: R2 = QQ['a','b','c']
> sage: R1('a').quo_rem(R1('b'))
> Traceback (most recent call last):
> ...
> ArithmeticError: Division non exact (consider coercing
> to polynomials over the fraction field)
> sage: R2('a').quo_rem(R2('b'))
> (0, a)
> }}}
New description:
Using the flattening morphism from #21106 we can divide more polynomials!
With the branch applied the following works
{{{
sage: R = QQ['a','b']['c','d']
sage: R('(a*b+1)*c + c^2').quo_rem(R('c'))
(c + a*b + 1, 0)
}}}
However, will persist a discrepency between `QQ['a']['b']['c']` and
`QQ['a','b','c']` when the division is not exact.
{{{
sage: R1 = QQ['a']['b']['c']
sage: R2 = QQ['a','b','c']
sage: R1('a').quo_rem(R1('b'))
Traceback (most recent call last):
...
ArithmeticError: Division non exact (consider coercing
to polynomials over the fraction field)
sage: R2('a').quo_rem(R2('b'))
(0, a)
}}}
See [https://groups.google.com/forum/#!topic/sage-devel/CDLCb6OX4ns this
sage-devel thread].
--
--
Ticket URL: <https://trac.sagemath.org/ticket/21108#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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