.. py:class:: Polyhedron
-Polyhedra Properties
---------------------
+ Polyhedron class allows users to build and inspect polyherons. The following methods provide the properties of a polyhedron.
.. py:method:: equalities(self)
-
- Return a list of the equalities in a set.
-
+
+ Return a list of the equalities in a polyhedron.
+
.. py:method:: inequalities(self)
-
- Return a list of the inequalities in a set.
+
+ Return a list of the inequalities in a polyhedron.
.. py:method:: constraints(self)
-
- Return ta list of the constraints of a set.
-Unary Operations
-----------------
+ Return ta list of the constraints of a polyhedron.
+
+ The following unary operations can be used to inspect a polyhedron.
+
.. py:method:: disjoint(self)
-
- Returns this set as a disjoint set.
-
+
+ Returns a polyhedron as a disjoint.
+
.. py:method:: isuniverse(self)
-
- Return true if this set is the Universe set.
- .. py:method:: aspolyhedron(self)
-
- Return polyhedral hull of this set.
+ Return ``True`` if a polyhedron is the Universe set.
.. py:method:: subs(self, symbol, expression=None)
-
- Subsitute expression into given set and returns the result.
-
- .. py:method:: Lt(left, right)
-
- Assert first set is less than the second set.
-
- .. py:method:: Le(left, right)
-
- Assert first set is less than or equal to the second set.
-
- .. py:method:: Eq(left, right)
-
- Assert first set is equal to the second set.
-
- .. py:method:: Ne(left, right)
-
- Assert first set is not equal to the second set.
-
- .. py:method:: Gt(left, right)
-
- Assert first set is greater than the second set.
-
- .. py:method:: Ge(left, right)
-
- Assert first set is greater than or equal to the second set.
+
+ Subsitutes an expression into a polyhedron and returns the result.
+
+To create a polyhedron, the user must use the folloing functions to define equalities and inequalities as the contraints.
+
+.. py:function:: Eq(left, right)
+
+ Create a constraint by setting *left* equal to *right*.
+
+.. py:function:: Ne(left, right)
+
+ Create a constraint by setting *left* not equal to *right*.
+
+.. py:function:: Lt(left, right)
+
+ Create a constraint by setting *left* less than *right*.
+
+.. py:function:: Le(left, right)
+
+ Create a constraint by setting *left* less than or equal to *right*.
+
+.. py:function:: Gt(left, right)
+
+ Create a constraint by setting *left* greater than *right*.
+
+.. py:function:: Ge(left, right)
+
+ Create a constraint by setting *left* greater than or equal to *right*.