The PPL (Parma Polyhedra Library) backend for polyhedral computations

class sage.geometry.polyhedron.backend_ppl.Polyhedron_QQ_ppl(parent, Vrep, Hrep, **kwds)

Bases: sage.geometry.polyhedron.backend_ppl.Polyhedron_ppl, sage.geometry.polyhedron.base_QQ.Polyhedron_QQ

Polyhedra over \(\QQ\) with ppl

INPUT:

  • Vrep – a list [vertices, rays, lines] or None.
  • Hrep – a list [ieqs, eqns] or None.

EXAMPLES:

sage: p = Polyhedron(vertices=[(0,0),(1,0),(0,1)], rays=[(1,1)], lines=[],
....:                backend='ppl', base_ring=QQ)
sage: TestSuite(p).run(skip='_test_pickling')
class sage.geometry.polyhedron.backend_ppl.Polyhedron_ZZ_ppl(parent, Vrep, Hrep, **kwds)

Bases: sage.geometry.polyhedron.backend_ppl.Polyhedron_ppl, sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ

Polyhedra over \(\ZZ\) with ppl

INPUT:

  • Vrep – a list [vertices, rays, lines] or None.
  • Hrep – a list [ieqs, eqns] or None.

EXAMPLES:

sage: p = Polyhedron(vertices=[(0,0),(1,0),(0,1)], rays=[(1,1)], lines=[])
....:                backend='ppl', base_ring=ZZ)
sage: TestSuite(p).run(skip='_test_pickling')
class sage.geometry.polyhedron.backend_ppl.Polyhedron_ppl(parent, Vrep, Hrep, **kwds)

Bases: sage.geometry.polyhedron.base.Polyhedron_base

Polyhedra with ppl

INPUT:

  • Vrep – a list [vertices, rays, lines] or None.
  • Hrep – a list [ieqs, eqns] or None.

EXAMPLES:

sage: p = Polyhedron(vertices=[(0,0),(1,0),(0,1)], rays=[(1,1)], lines=[], backend='ppl')
sage: TestSuite(p).run()