X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/25ce908cffca380f930182a77c1e5a4491042a1c..7fff25bf40e4db570565586fb49165d1675002c2:/doc/polyhedra.rst?ds=sidebyside

diff --git a/doc/polyhedra.rst b/doc/polyhedra.rst
index fd09b90..f6f1a30 100644
--- a/doc/polyhedra.rst
+++ b/doc/polyhedra.rst
@@ -1,61 +1,74 @@
 Polyhedra Module
 ================
 
-.. py:class:: Polyhedron
+Polyhedron class allows users to build and inspect polyherons. Polyhedron inherits all methods from the :class:`Domain` class.
 
-Polyhedra Properties
---------------------
+.. py:class:: Polyhedron(Domain)
 
-    .. py:method:: equalities(self)
+    .. py:method::  __new__(cls, equalities=None, inequalities=None)
     
-        Return a list of the equalities in a set.
-        
-    .. py:method:: inequalities(self)
-    
-        Return a list of the inequalities in a set.
+        Create and return a new Polyhedron from a string or list of equalities and inequalities.
 
-    .. py:method:: constraints(self)
-    
-        Return ta list of the constraints of a set.
+    .. 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.
 
-Unary Operations
-----------------
-    .. py:method:: disjoint(self)
-    
-        Returns this set as a disjoint set.
-               
     .. py:method:: isuniverse(self)
-    
-        Return true if this set is the Universe set.    
 
+        Return ``True`` if a polyhedron is the Universe set.
+        
     .. py:method:: aspolyhedron(self)
     
-        Return polyhedral hull of this set.
+        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 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.          
+
+        Subsitute the given value into an expression and return the resulting
+        expression.
+
+    .. py:method:: fromstring(cls, string)
         
-    .. py:method:: Gt(left, right)
-    
-        Assert first set is greater than the second set.        
+        Create and return a Polyhedron from a string.
+       
 
-    .. py:method:: Ge(left, right)
-    
-        Assert first set is greater than or equal to the second set. 
+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*.