Polyhedra Module
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Polyhedron class allows users to build and inspect polyherons. Polyhedron inherits all methods from the :class:`Domain` class.
.. py:class:: Polyhedron(Domain)
.. py:method:: __new__(cls, equalities=None, inequalities=None)
Create and return a new Polyhedron from a string or list of equalities and inequalities.
.. attribute:: equalities
Returns a list of the equalities in a polyhedron.
.. attribute:: inequalities
Returns a list of the inequalities in a polyhedron.
.. attribute:: constraints
Returns a list of the constraints of a polyhedron.
.. py:method:: make_disjoint(self)
Returns a polyhedron as a disjoint.
.. py:method:: isuniverse(self)
Return ``True`` if a polyhedron is the Universe set.
.. py:method:: aspolyhedron(self)
Return the polyhedral hull of a polyhedron.
.. py:method:: __contains__(self, point)
Report whether a polyhedron constains an integer point
.. py:method:: subs(self, symbol, expression=None)
Subsitute the given value into an expression and return the resulting
expression.
.. py:method:: fromstring(cls, string)
Create and return a Polyhedron from a string.
To create a polyhedron, the user can use the following functions to define equalities and inequalities as the constraints.
.. py:function:: Eq(left, right)
Returns a Polyhedron instance with a single constraint as *left* equal to *right*.
.. py:function:: Ne(left, right)
Returns a Polyhedron instance with a single constraint as *left* not equal to *right*.
.. py:function:: Lt(left, right)
Returns a Polyhedron instance with a single constraint as *left* less than *right*.
.. py:function:: Le(left, right)
Returns a Polyhedron instance with a single constraint as *left* less than or equal to *right*.
.. py:function:: Gt(left, right)
Returns a Polyhedron instance with a single constraint as *left* greater than *right*.
.. py:function:: Ge(left, right)
Returns a Polyhedron instance with a single constraint as *left* greater than or equal to *right*.