#15114: disallow coercions from RR to RIF
--------------------------------------------+-------------------------
       Reporter:  mstreng                   |        Owner:
           Type:  defect                    |       Status:  new
       Priority:  major                     |    Milestone:  sage-5.12
      Component:  coercion                  |   Resolution:
       Keywords:  RIF RR interval coercion  |    Merged in:
        Authors:                            |    Reviewers:
Report Upstream:  N/A                       |  Work issues:
         Branch:                            |       Commit:
   Dependencies:                            |     Stopgaps:
--------------------------------------------+-------------------------
Changes (by vdelecroix):

 * cc: vdelecroix (added)


Old description:

> Remove the following coercions because they make interval arithmetic much
> less trustworthy.
>  * RR --> RIF
>  * CC --> CIF
>  * RealField --> RealIntervalField
>  * ComplexField --> ComplexIntervalField
>
> For example, one could easily do the following by accident.
> {{{
>     sage: iv = 1 + 2^(-55) + 0. + RIF(1)
>     sage: iv.lower(), iv.upper()
>     (2.00000000000000, 2.00000000000000)
> }}}
>
> See also [https://groups.google.com/forum/#!topic/sage-devel/zfg0PhFR_qA
> this topic on sage-devel]

New description:

 Remove the following coercions because they make interval arithmetic much
 less trustworthy.
  * `RR` --> `RIF`
  * `CC` --> `CIF`
  * `RealField` --> `RealIntervalField`
  * `ComplexField` --> `ComplexIntervalField`

 For example, one could easily do the following by accident.
 {{{
     sage: iv = 1 + 2^(-55) + 0. + RIF(1)
     sage: iv.lower(), iv.upper()
     (2.00000000000000, 2.00000000000000)
 }}}

 See also [https://groups.google.com/forum/#!topic/sage-devel/zfg0PhFR_qA
 this topic on sage-devel]

--

--
Ticket URL: <http://trac.sagemath.org/ticket/15114#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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