#6628: [with patch, needs review] Singular functions via libSingular
---------------------------------+------------------------------------------
 Reporter:  malb                 |       Owner:  malb                           
           
     Type:  enhancement          |      Status:  new                            
           
 Priority:  major                |   Milestone:  sage-4.1.1                     
           
Component:  commutative algebra  |    Keywords:  singular, libsingular, 
commutative algebra
 Reviewer:                       |      Author:  Michael Brickenstein, Martin 
Albrecht     
   Merged:                       |  
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 The attached patch implements the following:

 {{{
 sage: P = PolynomialRing(GF(127),10,'x')
 sage: I = Ideal(P.random_element() for _ in range(3000))
 sage: from sage.libs.singular.function import singular_function, lib
 sage: groebner = singular_function('groebner')
 sage: %time groebner(I)
 CPU times: user 0.07 s, sys: 0.00 s, total: 0.08 s
 Wall time: 0.08 s
 [1]
 }}}

 For comparison, the Singular pexpect interface needs almost two seconds
 for the same task (due to string parsing on both ends, IPC, etc.)

 {{{
 sage: %time I.groebner_basis()
 CPU times: user 0.96 s, sys: 0.24 s, total: 1.21 s
 Wall time: 1.92 s
 [1]
 }}}

 This patch requires an updated Singular SPKG (see below).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6628>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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