Abstract base classes for classes in sage.geometry

class sage.geometry.abc.ConvexRationalPolyhedralCone

Bases: object

Abstract base class for ConvexRationalPolyhedralCone

This class is defined for the purpose of isinstance tests. It should not be instantiated.

EXAMPLES:

Sage

sage: import sage.geometry.abc
sage: C = cones.nonnegative_orthant(2)
sage: isinstance(C, sage.geometry.abc.ConvexRationalPolyhedralCone)
True

Python

>>> from sage.all import *
>>> import sage.geometry.abc
>>> C = cones.nonnegative_orthant(Integer(2))
>>> isinstance(C, sage.geometry.abc.ConvexRationalPolyhedralCone)
True

Sage Live

import sage.geometry.abc
C = cones.nonnegative_orthant(2)
isinstance(C, sage.geometry.abc.ConvexRationalPolyhedralCone)

By design, there is a unique direct subclass:

Sage

sage: sage.geometry.abc.ConvexRationalPolyhedralCone.__subclasses__()
[<class 'sage.geometry.cone.ConvexRationalPolyhedralCone'>]

sage: len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1
True

Python

>>> from sage.all import *
>>> sage.geometry.abc.ConvexRationalPolyhedralCone.__subclasses__()
[<class 'sage.geometry.cone.ConvexRationalPolyhedralCone'>]

>>> len(sage.geometry.abc.Polyhedron.__subclasses__()) <= Integer(1)
True

Sage Live

sage.geometry.abc.ConvexRationalPolyhedralCone.__subclasses__()
len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1

class sage.geometry.abc.LatticePolytope

Bases: object

Abstract base class for LatticePolytopeClass

This class is defined for the purpose of isinstance tests. It should not be instantiated.

EXAMPLES:

Sage

sage: import sage.geometry.abc
sage: P = LatticePolytope([(1,2,3), (4,5,6)])
sage: isinstance(P, sage.geometry.abc.LatticePolytope)
True

Python

>>> from sage.all import *
>>> import sage.geometry.abc
>>> P = LatticePolytope([(Integer(1),Integer(2),Integer(3)), (Integer(4),Integer(5),Integer(6))])
>>> isinstance(P, sage.geometry.abc.LatticePolytope)
True

Sage Live

import sage.geometry.abc
P = LatticePolytope([(1,2,3), (4,5,6)])
isinstance(P, sage.geometry.abc.LatticePolytope)

By design, there is a unique direct subclass:

Sage

sage: sage.geometry.abc.LatticePolytope.__subclasses__()
[<class 'sage.geometry.lattice_polytope.LatticePolytopeClass'>]

sage: len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1
True

Python

>>> from sage.all import *
>>> sage.geometry.abc.LatticePolytope.__subclasses__()
[<class 'sage.geometry.lattice_polytope.LatticePolytopeClass'>]

>>> len(sage.geometry.abc.Polyhedron.__subclasses__()) <= Integer(1)
True

Sage Live

sage.geometry.abc.LatticePolytope.__subclasses__()
len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1

class sage.geometry.abc.Polyhedron

Bases: object

Abstract base class for Polyhedron_base

This class is defined for the purpose of isinstance tests. It should not be instantiated.

EXAMPLES:

Sage

sage: import sage.geometry.abc
sage: P = polytopes.cube()
sage: isinstance(P, sage.geometry.abc.Polyhedron)
True

Python

>>> from sage.all import *
>>> import sage.geometry.abc
>>> P = polytopes.cube()
>>> isinstance(P, sage.geometry.abc.Polyhedron)
True

Sage Live

import sage.geometry.abc
P = polytopes.cube()
isinstance(P, sage.geometry.abc.Polyhedron)

By design, there is a unique direct subclass:

Sage

sage: sage.geometry.abc.Polyhedron.__subclasses__()
[<class 'sage.geometry.polyhedron.base0.Polyhedron_base0'>]

sage: len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1
True

Python

>>> from sage.all import *
>>> sage.geometry.abc.Polyhedron.__subclasses__()
[<class 'sage.geometry.polyhedron.base0.Polyhedron_base0'>]

>>> len(sage.geometry.abc.Polyhedron.__subclasses__()) <= Integer(1)
True

Sage Live

sage.geometry.abc.Polyhedron.__subclasses__()
len(sage.geometry.abc.Polyhedron.__subclasses__()) <= 1

Make live