def __init__(self,modstr="",ring=None):
'''Solvable module constructor.
'''
if ring == None:
sr = StringReader( modstr );
tok = GenPolynomialTokenizer(sr);
self.mset = tok.nextSolvableSubModuleSet();
else:
self.mset = ModuleList(ring,None);
self.ring = self.mset.ring;
def __init__(self,ring,ringstr="",list=None):
'''Constructor for an ideal in a solvable polynomial ring.
'''
self.ring = ring;
if list == None:
sr = StringReader( ringstr );
tok = GenPolynomialTokenizer(ring.ring,sr);
self.list = tok.nextSolvablePolynomialList();
else:
self.list = pylist2arraylist(list);
self.pset = OrderedPolynomialList(ring.ring,self.list);
def __init__(self,ringstr="",ring=None):
'''Ring constructor.
'''
if ring == None:
sr = StringReader( ringstr );
tok = GenPolynomialTokenizer(sr);
self.pset = tok.nextPolynomialSet();
self.ring = self.pset.ring;
else:
self.ring = ring;
self.engine = GCDFactory.getProxy(self.ring.coFac);
def __init__(self,ring,polystr="",list=None):
'''Ideal constructor.
'''
self.ring = ring;
if list == None:
sr = StringReader( polystr );
tok = GenPolynomialTokenizer(ring.pset.ring,sr);
self.list = tok.nextPolynomialList();
else:
self.list = pylist2arraylist(list);
self.pset = OrderedPolynomialList(ring.ring,self.list);
def __init__(self,ringstr="",ring=None):
'''Solvable polynomial ring constructor.
'''
if ring == None:
sr = StringReader( ringstr );
tok = GenPolynomialTokenizer(sr);
self.pset = tok.nextSolvablePolynomialSet();
self.ring = self.pset.ring;
else:
self.ring = ring;
if not self.ring.isAssociative():
print "warning: ring is not associative";
def __init__(self,module,modstr="",list=None):
'''Constructor for sub-module over a solvable polynomial ring.
'''
self.module = module;
if list == None:
sr = StringReader( modstr );
tok = GenPolynomialTokenizer(module.ring,sr);
self.list = tok.nextSolvableSubModuleList();
else:
self.list = pylist2arraylist(list);
self.mset = OrderedModuleList(module.ring,self.list);
self.cols = self.mset.cols;
self.rows = self.mset.rows;
def __constructJasObject(self):
#from types import StringType
from jas import PolyRing, ZZ
# set up the polynomial ring (Jas syntax)
if 'hasParameters' in self.__dict__ and self.hasParameters != '':
#K = 'K.<%s> = PolynomialRing(ZZ)' % self.hasParameters
#R = K + '; R.<%s> = PolynomialRing(K)' % self.hasVariables
K = PolyRing(ZZ(), str(self.hasParameters))
R = PolyRing(K, str(self.hasVariables))
gens = '%s,%s' % (self.hasParameters, self.hasVariables)
else:
#R = 'R.<%s> = PolynomialRing(ZZ)' % (self.hasVariables)
R = PolyRing(ZZ(), str(self.hasVariables))
gens = str(self.hasVariables)
# translate Jas syntax to pure Python and execute
#exec(preparse(R))
Rg = "(one," + gens + ") = R.gens();"
#print str(R)
exec(str(Rg)) # safe here since R did evaluate
#print "R = " + str(R)
self.jasRing = R
# avoid XSS: check if polynomials are clean
from edu.jas.poly import GenPolynomialTokenizer
vs = GenPolynomialTokenizer.expressionVariables(str(gens))
vs = sorted(vs)
#print "vs = " + str(vs)
vsb = set()
[
vsb.update(GenPolynomialTokenizer.expressionVariables(str(s)))
for s in self.basis
]
vsb = sorted(list(vsb))
#print "vsb = " + str(vsb)
if vs != vsb:
raise ValueError("invalid variables: expected " + str(vs) +
", got " + str(vsb))
# construct polynomials in the constructed ring from
# the polynomial expressions
self.jasBasis = []
for ps in self.basis:
#print "ps = " + str(ps)
ps = str(ps)
ps = ps.replace('^', '**')
#exec(preparse("symbdata_ideal = %s" % ps))
#exec("symbdata_poly = %s" % ps)
pol = eval(ps)
self.jasBasis.append(pol)
def __constructJasObject(self):
#from types import StringType
from jas import PolyRing, ZZ
# set up the polynomial ring (Jas syntax)
if 'hasParameters' in self.__dict__ and self.hasParameters != '':
#K = 'K.<%s> = PolynomialRing(ZZ)' % self.hasParameters
#R = K + '; R.<%s> = PolynomialRing(K)' % self.hasVariables
K = PolyRing(ZZ(), str(self.hasParameters) )
R = PolyRing(K, str(self.hasVariables))
gens = '%s,%s' % (self.hasParameters, self.hasVariables)
else:
#R = 'R.<%s> = PolynomialRing(ZZ)' % (self.hasVariables)
R = PolyRing(ZZ(), str(self.hasVariables) )
gens = str(self.hasVariables)
# translate Jas syntax to pure Python and execute
#exec(preparse(R))
Rg = "(one," + gens + ") = R.gens();"
#print str(R)
exec(str(Rg)) # safe here since R did evaluate
#print "R = " + str(R)
self.jasRing = R;
# avoid XSS: check if polynomials are clean
from edu.jas.poly import GenPolynomialTokenizer
vs = GenPolynomialTokenizer.expressionVariables(str(gens))
vs = sorted(vs)
#print "vs = " + str(vs)
vsb = set()
[ vsb.update(GenPolynomialTokenizer.expressionVariables(str(s))) for s in self.basis]
vsb = sorted(list(vsb))
#print "vsb = " + str(vsb)
if vs != vsb:
raise ValueError("invalid variables: expected " + str(vs) + ", got " + str(vsb))
# construct polynomials in the constructed ring from
# the polynomial expressions
self.jasBasis = []
for ps in self.basis:
#print "ps = " + str(ps)
ps = str(ps)
ps = ps.replace('^', '**')
#exec(preparse("symbdata_ideal = %s" % ps))
#exec("symbdata_poly = %s" % ps)
pol = eval(ps)
self.jasBasis.append(pol)
def __init__(self,ringstr="",truncate=None,ring=None,cofac=None,name="z"):
'''Ring constructor.
'''
if ring == None:
if len(ringstr) > 0:
sr = StringReader( ringstr );
tok = GenPolynomialTokenizer(sr);
pset = tok.nextPolynomialSet();
ring = pset.ring;
vname = ring.vars;
name = vname[0];
cofac = ring.coFac;
if isinstance(cofac,RingElem):
cofac = cofac.elem;
if truncate == None:
self.ring = UnivPowerSeriesRing(cofac,name);
else:
self.ring = UnivPowerSeriesRing(cofac,truncate,name);
else:
self.ring = ring;