#14841: Fixed and improved frobby interface
--------------------------------------+-------------------------------------
   Reporter:  mmarco                  |             Owner:  mmarco   
       Type:  enhancement             |            Status:  new      
   Priority:  major                   |         Milestone:  sage-5.12
  Component:  packages: experimental  |          Keywords:  frobby   
Work issues:                          |   Report Upstream:  N/A      
  Reviewers:                          |           Authors:  mmarco   
  Merged in:                          |      Dependencies:  frobby   
   Stopgaps:                          |  
--------------------------------------+-------------------------------------
 Frobby interface didn't work too well. For instance, it didn't parse
 correctly a sequence of several ideals, leading  to error messages like
 this:

 {{{

 sage: R.<x,y,z>=QQ[]
 sage: I=R.ideal([x^2*y,z^2*y,x*z])
 sage: frobby.irreducible_decomposition(I)
 ---------------------------------------------------------------------------
 RuntimeError                              Traceback (most recent call
 last)
 <ipython-input-11-0bf142b894a8> in <module>()
 ----> 1 frobby.irreducible_decomposition(I)

 /usr/lib64/python2.7/site-packages/sage/interfaces/frobby.pyc in
 irreducible_decomposition(self, monomial_ideal)
     124         frobby_input = self._ideal_to_string(monomial_ideal)
     125         frobby_output = self('irrdecom', input=frobby_input)
 --> 126         return self._parse_ideals(frobby_output,
 monomial_ideal.ring())
     127
     128     def _parse_ideals(self, string, ring):

 /usr/lib64/python2.7/site-packages/sage/interfaces/frobby.pyc in
 _parse_ideals(self, string, ring)
     153             gens = [v ** e for v, e in zip(ring.gens(), exps) if e
 != 0]
     154             return ring.ideal(gens or ring(1))
 --> 155         return map(to_ideal, self._parse_4ti2_matrix(string)) or
 [ring.ideal()]
     156
     157     def _parse_4ti2_matrix(self, string):

 /usr/lib64/python2.7/site-packages/sage/interfaces/frobby.pyc in
 _parse_4ti2_matrix(self, string)
     195
     196         if term_count * var_count != len(ints):
 --> 197             raise RuntimeError("Format error: incorrect matrix
 dimensions.")
     198
     199         exponents = []

 RuntimeError: Format error: incorrect matrix dimensions.
 }}}

 This patch solves this problem, implements calls to more frobby functions
 (note for instance the speed to compute the alexander dual, it beats the
 SimplicialComplex alexander_dual method by several orders of magnitude),
 and makes the doctets optional dependendent on frobby.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14841>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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