#8497: bug in simplify_rational
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Reporter: zimmerma | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.4
Component: calculus | Keywords: simplify, radical, sqrt
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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the documentation of {{{simplify_radical}}} says:
{{{
sage: x.simplify_radical?
...
Simplifies this symbolic expression, which can contain logs,
exponentials, and radicals, by converting it into a form which is
canonical over a large class of expressions and a given ordering of
variables
}}}
however if indeed it is able to recognize zero:
{{{
sage: a=1/(sqrt(5)+sqrt(2))-(sqrt(5)-sqrt(2))/3
sage: a.simplify_radical()
0
}}}
it does *not* return a canonical expression:
{{{
sage: a1=1/(sqrt(5)+sqrt(2))
sage: a2=(sqrt(5)-sqrt(2))/3
sage: a1.simplify_radical()
1/(sqrt(2) + sqrt(5))
sage: a2.simplify_radical()
-1/3*sqrt(2) + 1/3*sqrt(5)
sage: (a1-a2).simplify_radical()
0
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8497>
Sage <http://www.sagemath.org>
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