(self, extended=False)
Returns a standard basis in sdm form.
Returns a standard basis in sdm form.
Returns a standard basis in sdm form .
def _groebner(self, extended=False):
        """Returns a standard basis in sdm form."""
        from sympy.polys.distributedmodules import sdm_groebner, sdm_nf_mora
        if self._gbe is None and extended:
            gb, gbe = sdm_groebner(
                [self.ring._vector_to_sdm(x, self.order) for x in self.gens],
                sdm_nf_mora, self.order, self.ring.dom, extended=True)
            self._gb, self._gbe = tuple(gb), tuple(gbe)
        if self._gb is None:
            self._gb = tuple(sdm_groebner(
                             [self.ring._vector_to_sdm(x, self.order) for x in self.gens],
               sdm_nf_mora, self.order, self.ring.dom))
        if extended:
            return self._gb, self._gbe
        else:
            return self._gb
def _groebner ( self , extended = False ) : from sympy . polys . distributedmodules import sdm_groebner , sdm_nf_mora if self . _gbe is None and extended : gb , gbe = sdm_groebner ( [ self . ring . _vector_to_sdm ( x , self . order ) for x in self . gens ] , sdm_nf_mora , self . order , self . ring . dom , extended = True ) self . _gb , self . _gbe = tuple ( gb ) , tuple ( gbe ) if self . _gb is None : self . _gb = tuple ( sdm_groebner ( [ self . ring . _vector_to_sdm ( x , self . order ) for x in self . gens ] , sdm_nf_mora , self . order , self . ring . dom ) ) if extended : return self . _gb , self . _gbe else : return self . _gb