Polyhedra Module
================
-Polyhedron class allows users to build and inspect polyherons.
+Polyhedron class allows users to build and inspect polyherons. Polyhedron inherits all methods from the :class:`Domain` class.
-.. py:class:: Polyhedron
+.. py:class:: Polyhedron(Domain)
- .. attribute:: equalities(self)
+ .. py:method:: __new__(cls, equalities=None, inequalities=None)
+
+ Create and return a new Polyhedron from a string or list of equalities and inequalities.
- Return a list of the equalities in a polyhedron.
+ .. attribute:: equalities
- .. attribute:: inequalities(self)
+ Returns a list of the equalities in a polyhedron.
- Return a list of the inequalities in a polyhedron.
+ .. attribute:: inequalities
- .. py:method:: constraints(self)
+ Returns a list of the inequalities in a polyhedron.
- Return ta list of the constraints of a polyhedron.
+ .. attribute:: constraints
- .. py:method:: disjoint(self)
+ 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)
- Subsitutes an expression into a polyhedron and returns the result.
+ 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 contraints.
+To create a polyhedron, the user can use the following functions to define equalities and inequalities as the constraints.
.. py:function:: Eq(left, right)
- Create a constraint by setting *left* equal to *right*.
+ Returns a Polyhedron instance with a single constraint as *left* equal to *right*.
.. py:function:: Ne(left, right)
- Create a constraint by setting *left* not equal to *right*.
+ Returns a Polyhedron instance with a single constraint as *left* not equal to *right*.
.. py:function:: Lt(left, right)
- Create a constraint by setting *left* less than *right*.
+ Returns a Polyhedron instance with a single constraint as *left* less than *right*.
.. py:function:: Le(left, right)
- Create a constraint by setting *left* less than or equal to *right*.
+ Returns a Polyhedron instance with a single constraint as *left* less than or equal to *right*.
.. py:function:: Gt(left, right)
- Create a constraint by setting *left* greater than *right*.
+ Returns a Polyhedron instance with a single constraint as *left* greater than *right*.
.. py:function:: Ge(left, right)
- Create a constraint by setting *left* greater than or equal to *right*.
+ Returns a Polyhedron instance with a single constraint as *left* greater than or equal to *right*.