#13234: Add Normaliz optional package
--------------------------------------+-------------------------------------
       Reporter:  novoselt            |         Owner:  tbd       
           Type:  enhancement         |        Status:  needs_work
       Priority:  major               |     Milestone:  sage-5.6  
      Component:  packages            |    Resolution:            
       Keywords:                      |   Work issues:            
Report Upstream:  N/A                 |     Reviewers:            
        Authors:  Andrey Novoseltsev  |     Merged in:            
   Dependencies:                      |      Stopgaps:            
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Changes (by dimpase):

  * status:  needs_review => needs_work


Comment:

 after installing the spkg, one can call {{{normaliz}}} from Sage's
 {{{singular_console()}}}, but results don't always make sense. E.g.
 {{{
 sage: singular_console()
                      SINGULAR                                 /
 Development
  A Computer Algebra System for Polynomial Computations       /   version
 3-1-5
                                                            0<
  by: W. Decker, G.-M. Greuel, G. Pfister, H. Schoenemann     \   Jul 2012
 FB Mathematik der Universitaet, D-67653 Kaiserslautern        \
 > LIB "normaliz.lib";
 // ** loaded
 /usr/local/src/sage/sage-5.5.rc0/local/share/singular/normaliz.lib $Id$
 > ring R=0,(x,y,z,t),dp;
 > ideal I=x^2,y^2,z^3;
 > list l=intclMonIdeal(I);
 > showNuminvs();
 hilbert_basis_elements : 2
 number_extreme_rays : 2
 rank : 2
 index : 1
 number_support_hyperplanes : 2
 size_triangulation : 1
 sum_dets : 1
 graded : 1
 degree_1_elements : 2
 grading : 1,-1
 grading_denom : 1
 multiplicity : 1
 multiplicity_denom : 1
 hilbert_series_num : 1
 hilbert_series_denom : 1,1
 primary : 1
 ideal_multiplicity : 2
 >
 }}}
 whereas according to [http://www.singular.uni-
 kl.de/Manual/latest/sing_1143.htm#SEC1219 Singular docs] the output should
 be
 {{{
 showNuminvs();
 ==> hilbert_basis_elements : 9
 ==> number_extreme_rays : 6
 ==> rank : 4
 ==> index : 1
 ==> number_support_hyperplanes : 5
 ==> homogeneous : 0
 ==> primary : 1
 ==> ideal_multiplicity : 12
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13234#comment:10>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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