#9020: random degrees for random_element()s univariate polynomial rings
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Reporter: burcin | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.4.3
Component: basic arithmetic | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Attached patch allows using a tuple as the `degree` argument when calling
the `random_element()` method of univariate polynomial rings. The tuple
specifies the minimum and maximum degrees so we don't always get
polynomials of the same degree:
{{{
sage: R.<x> = ZZ[]
sage: R.random_element(degree=(0,8))
2*x^7 - x^5 + 4*x^4 - 5*x^3 + x^2 + 14*x - 1
sage: R.random_element(degree=(0,8))
-2*x^3 + x^2 + x + 4
}}}
This is also directly usable by matrices:
{{{
sage: M = Matrix(R,2,2)
sage: M.randomize(degree=(0,6))
sage: M
[ -40*x^3 - 3*x^2 - 5*x -x^4 + 476*x^3 - 3*x + 3]
[-12*x^6 + 2*x^4 - x^3 + x^2 + x - 1 -52*x + 5]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9020>
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