def __init__(self, base_ring, ambient_dim, backend):
"""
The Python constructor.
EXAMPLES::
sage: from sage.geometry.polyhedron.parent import Polyhedra
sage: Polyhedra(QQ, 3)
Polyhedra in QQ^3
TESTS::
sage: from sage.geometry.polyhedron.parent import Polyhedra
sage: P = Polyhedra(QQ, 3)
sage: TestSuite(P).run()
sage: P = Polyhedra(QQ, 0)
sage: TestSuite(P).run()
"""
self._backend = backend
self._ambient_dim = ambient_dim
from sage.categories.polyhedra import PolyhedralSets
from sage.categories.finite_enumerated_sets import FiniteEnumeratedSets
category = PolyhedralSets(base_ring)
if ambient_dim == 0:
category = category & FiniteEnumeratedSets()
else:
category = category.Infinite()
Parent.__init__(self, base=base_ring, category=category)
self._Inequality_pool = []
self._Equation_pool = []
self._Vertex_pool = []
self._Ray_pool = []
self._Line_pool = []
def __init__(self, base_ring, ambient_dim):
"""
The Python constructor.
EXAMPLES::
sage: from sage.geometry.polyhedron.parent import Polyhedra
sage: Polyhedra(QQ, 3)
Polyhedra in QQ^3
TESTS::
sage: from sage.geometry.polyhedron.parent import Polyhedra
sage: P = Polyhedra(QQ, 3)
sage: TestSuite(P).run(skip='_test_pickling')
"""
self._ambient_dim = ambient_dim
from sage.categories.polyhedra import PolyhedralSets
Parent.__init__(self,
base=base_ring,
category=PolyhedralSets(base_ring))
self._Inequality_pool = []
self._Equation_pool = []
self._Vertex_pool = []
self._Ray_pool = []
self._Line_pool = []