#4000: [with patch, needs work] Implement QQ['x'] via Flint ZZ['x'] + 
denominator
------------------------------+---------------------------------------------
 Reporter:  malb              |       Owner:  somebody       
     Type:  enhancement       |      Status:  new            
 Priority:  major             |   Milestone:  sage-wishlist  
Component:  basic arithmetic  |    Keywords:                 
 Reviewer:                    |      Author:  Martin Albrecht
   Merged:                    |  
------------------------------+---------------------------------------------

Comment(by malb):

 I fixed the startup crash. I suggest you take a look at {{{fmpq.diff}}} to
 see what I changed. If you want to debug these kind of issues start Sage
 using {{{sage -gdb}}} or {{{sage -valgrind}}} (you will need to install
 the optional Valgrind SPKG for this to work). Note that there is still
 some conversion code missing in {{{polynomial_rational_flint.pyx}}}.

 {{{
 #!python
 sage: P.<x> = QQ[]
 sage: f = P.random_element(2000)
 sage: g = P.random_element(2000)
 sage: %time _ = f*g
 CPU times: user 0.01 s, sys: 0.00 s, total: 0.01 s
 Wall time: 0.02 s
 }}}

 {{{
 #!python
 sage: P.<x> = PolynomialRing(QQ,'x',implementation='pari')
 sage: f = P.random_element(2000)
 sage: g = P.random_element(2000)
 sage: %time _ = f*g
 CPU times: user 0.59 s, sys: 0.00 s, total: 0.59 s
 Wall time: 0.59 s
 }}}

 {{{
 #!python
 sage: P.<x> = QQ[]
 sage: f = P.random_element(5000)
 sage: g = P.random_element(5000)
 sage: %time _ = f*g
 CPU times: user 0.03 s, sys: 0.00 s, total: 0.03 s
 Wall time: 0.04 s
 }}}

 {{{
 #!python
 sage: fM = magma(f)
 sage: gM = magma(g)
 sage: t = magma.cputime()
 sage: _ = fM*gM
 sage: magma.cputime(t)
 0.12
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4000#comment:7>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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