#14305: bug in simplify_radical
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Reporter: zimmerma | Owner: burcin
Type: defect | Status: new
Priority: critical | Milestone: sage-5.12
Component: calculus | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by mjo):
I remember the first example, from #12845. This is the full test:
{{{
sage: a, b, c = var("a, b, c")
sage: assume((a, 'real'), (b, 'real'), (c, 'real'))
sage: z = a + b*I
sage: bool(norm(z).simplify() == a^2 + b^2)
True
sage: norm(a + b).simplify()
a^2 + 2*a*b + b^2
sage: v = vector([a, b, c])
sage: bool(norm(v).simplify() == sqrt(a^2 + b^2 + c^2))
True
sage: forget()
}}}
The assumptions aren't needed for the first result, but they are for the
last one (the norm of the vector).
The `rectform()` test is also mine, but the reasoning I've forgotten.
--
Ticket URL: <http://trac.sagemath.org/ticket/14305#comment:19>
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