def toIntegralCoeff(self):
'''Convert rational function coefficients to integral function coefficients.
'''
p = self.pset;
l = p.list;
r = p.ring;
q = r.coFac;
c = q.ring;
rc = GenPolynomialRing( c, r.nvar, r.tord, r.vars );
#print "rc = ", rc;
lp = PolyUfdUtil.integralFromQuotientCoefficients(rc,l);
#print "lp = ", lp;
r = Ring("",rc);
return ParamIdeal(r,"",lp);
def optimizeCoeffQuot(self):
'''Optimize the term order on the variables of the quotient coefficients.
'''
p = self.pset;
l = p.list;
r = p.ring;
q = r.coFac;
c = q.ring;
rc = GenPolynomialRing( c, r.nvar, r.tord, r.vars );
#print "rc = ", rc;
lp = PolyUfdUtil.integralFromQuotientCoefficients(rc,l);
#print "lp = ", lp;
pp = PolynomialList(rc,lp);
#print "pp = ", pp;
oq = TermOrderOptimization.optimizeTermOrderOnCoefficients(pp);
oor = oq.ring;
qo = oor.coFac;
cq = QuotientRing( qo );
rq = GenPolynomialRing( cq, r.nvar, r.tord, r.vars );
#print "rq = ", rq;
o = PolyUfdUtil.quotientFromIntegralCoefficients(rq,oq.list);
r = Ring("",rq);
return ParamIdeal(r,"",o);
sr = ModuleList(f.ring.ring, s); print "rightSyzygy for f:\n" + str(sr.toScript()); print "#rightSyzygy for f = " + str(s.size()); print "#rightSyzygy[0] for f = " + str(s[0].size()); print; #for p in sr.list: # print "p = " + str( [ str(pc.toScript()) for pc in p] ); #print # optional: ir = GenSolvablePolynomialRing(sr.ring.coFac.ring,sr.ring); print "ir = " + str(ir.toScript()); qrel = sr.ring.table.relationList(); irel = PolyUfdUtil.integralFromQuotientCoefficients(ir,qrel); ir.addRelations(irel); print "qr = " + str(sr.ring.toScript()); print "ir = " + str(ir.toScript()); soi = [ PolyUfdUtil.integralFromQuotientCoefficients(ir,sop) for sop in s]; isr = ModuleList(ir, soi); print "integral f:\n" + str(isr.toScript()); print; #terminate(); #sys.exit(); t = System.currentTimeMillis(); #imr = ModSolvableGroebnerBaseSeq(isr.ring.coFac).rightGB(isr); #imr = ModSolvableGroebnerBaseSeq(isr.ring.coFac).leftGB(isr); #imr = ModSolvableGroebnerBaseSeq(isr.ring.coFac).twosidedGB(isr);