Doc updates (not complete)

[linpy.git] / doc / polyhedra.rst

diff --git a/doc/polyhedra.rst b/doc/polyhedra.rst
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 Polyhedra Module
 ================
 
-.. py:class:: Polyhedron
+Polyhedron class allows users to build and inspect polyherons. Polyhedron inherits all methods from the :class:`Domain` class.
 
-    Polyhedron class allows users to build and inspect polyherons.  The following methods provide the properties of a polyhedron.
+.. py:class:: Polyhedron(Domain)
 
-    .. py:method:: 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
 
-    .. py:method:: 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
 
-    The following unary operations can be used to inspect a polyhedron.
+        Returns a list of the constraints of a polyhedron.
 
-    .. py:method:: disjoint(self)
+    .. 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 must use the folloing 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*.