#16397: Symbolic cmp
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       Reporter:  vbraun     |        Owner:
           Type:  defect     |       Status:  new
       Priority:  major      |    Milestone:  sage-6.3
      Component:  symbolics  |   Resolution:
       Keywords:             |    Merged in:
        Authors:             |    Reviewers:
Report Upstream:  N/A        |  Work issues:
         Branch:             |       Commit:
   Dependencies:             |     Stopgaps:
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Description changed by vbraun:

Old description:

> In the symbolic ring, cmp implements the print comparison which is
> probably not what you envisioned:
> {{{
> sage: cmp(1, sqrt(2))     # mathematically correct, uses rich comparison
> -1
> sage: cmp(SR(1), sqrt(2)) # unexpectedly, you get the print sort order
> 1
> }}}

New description:

 In the symbolic ring, cmp implements the print comparison which is
 probably not what you envisioned:
 {{{
 sage: cmp(1, sqrt(2))     # mathematically correct, uses rich comparison
 -1
 sage: cmp(SR(1), sqrt(2)) # unexpectedly, you get the print sort order
 1
 }}}
 Everybody who coerces to same parents internally before comparing trips
 over this, for example the real lazy field:
 {{{
 sage: RLF(1) < RLF(sqrt(2))
 False
 }}}

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Ticket URL: <http://trac.sagemath.org/ticket/16397#comment:2>
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