#7545: Gaussian Integers
-----------------------------+----------------------------------------------
Reporter: wuthrich | Owner: davidloeffler
Type: enhancement | Status: needs_info
Priority: minor | Milestone: sage-wishlist
Component: number fields | Keywords: gaussian integers, Z[i], quadratic
number ring
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
-----------------------------+----------------------------------------------
Changes (by wuthrich):
* status: new => needs_info
Comment:
The added patch will add a file 'gaussian_integer.py' which adds
{{{GaussianIntegers}}} and {{{GaussianNumberField}}} to sage. The elements
of the {{{GaussianIntegers}}} are elements in a quadratic Order, but they
have a few more functions. Like {{{factor}}}, {{{gcd}}}, {{{is_prime}}},
{{{quo_rem}}},... Also they are printed as {{{a + b*i}}} not as {{{b*i +
a}}}. Also the coefficients of integers are in {{{ZZ}}}, not in {{{QQ}}}
as for general quadratic orders.
I am not sure if I should propose this ticket for review and inclusion in
sage. It maybe against the more general framework in number fields and
will create silly exceptions. Also I still have not learned to do this in
cython, so it is nowhere as efficient as it should be.
One might also want to change further things, like the function {{{gcd}}}.
Also {{{QuadarticField(-1)}}} should give back {{{GaussianNumberFields}}}
etc.
A futher issue is 'i'. By default i is a symbol expression. If someone
types {{{GaussianInteger()}}} he will probably assume that 'i' is in it
afterwards. But changing this would probably not be a good idea.
Anyway, the patch is here to be looked at as it may inspire some further
work in this direction.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7545#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
