X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/98936866ae400d45b7b74f7ba0d04c66ace0424f..454a26a54cc7ff563ab278567f3bbad9c6ff42bb:/doc/linexpr.rst

diff --git a/doc/linexpr.rst b/doc/linexpr.rst
index 4101252..eb2f704 100644
--- a/doc/linexpr.rst
+++ b/doc/linexpr.rst
@@ -1,8 +1,14 @@
 Linear Expression Module
 ========================
 
-This class implements linear expressions.
+This class implements linear expressions. A linear expression is….
 
+.. py:class:: Expression
+    
+    .. py:method:: __new__(cls, coefficients=None, constant=0)
+        
+        Create and return a new linear expression from a string or a list of coefficients and a constant.
+        
     .. py:method:: coefficient(self, symbol)
         
         Return the coefficient value of the given symbol.
@@ -11,25 +17,79 @@ This class implements linear expressions.
         
         Return a list of the coefficients of an expression
         
-    .. py:method:: constant(self)
+    .. attribute:: constant
     
         Return the constant value of an expression.
         
-    .. py:method:: symbols(self)
+    .. attribute:: symbols
     
         Return a list of symbols in an expression.                            
     
-    .. py:method:: dimension(self)
+    .. attribute:: dimension
+    
+        Return the number of variables in an expression.
+        
+    .. py:method:: isconstant(self)
+        
+        Return ``True`` if an expression is a constant.
+    
+    .. py:method:: issymbol(self)
+    
+        Return ``True`` if an expression is a symbol.       
+    
+        
+    .. py:method:: values(self)
+    
+        Return the coefficient and constant values of an expression.
+        
+    .. py:method:: __add__(self, other)
     
-        Return the number of vriables in an expression.
+        Return the sum of *self* and *other*.
         
     .. py:method:: __sub__(self, other)
     
-        Return the difference between two expressions.
-               
+        Return the difference between *self* and *other*.
+
+    .. py:method:: __mul__(self, other)
+    
+        Return the product of *self* and *other* if *other* is a rational number.
+    
+    .. py:method:: __eq__(self, other)
+        
+        Test whether two expressions are equal.
+                
+    .. py:method:: __le__(self, other)
+                   self <= other
+
+        Create a new polyhedra from an expression with a single constraint as *self* less than or equal to *other*.    
+
+    .. py:method:: __lt__(self, other)
+                   self < other
+                   
+       Create a new polyhedra from an expression with a single constraint as *self* less than *other*.  
+                                      
+    .. py:method:: __ge__(self, other)
+                   self >= other    
+        
+        Create a new polyhedra from an expression with a single constraint as *self* greater than or equal to *other*.  
+        
+    .. py:method:: __gt__(self, other)
+                   self > other
+        
+        Create a new polyhedra from an expression with a single constraint as *self* greater than *other*.  
+        
+    .. py:method:: scaleint(self)
+    
+        Multiply an expression by a scalar to make all coefficients integer values.
+                                  
     .. py:method:: subs(self, symbol, expression=None)
     
         Subsitute the given value into an expression and return the resulting expression.
+        
+        
+    .. py:method:: fromstring(self)
+    
+        Create an expression from a string.
 
     .. py:method:: fromsympy(self)
     
@@ -38,7 +98,43 @@ This class implements linear expressions.
     .. py:method:: tosympy(self)
     
         Return an expression as a sympy object.    
+
+.. py:class:: Symbol(Expression)
+
+    .. py:method:: __new__(cls, name)
+    
+        Create and return a symbol from a string.
+        
+    .. py:method::  symbols(names)
+    
+        This function returns a sequence of symbols with names taken from names argument, which can be a comma or whitespace delimited string, or a sequence of strings.
+        
+    .. py:method:: asdummy(self)
+        
+        Return a symbol as a :class:`Dummy` Symbol.
           
 .. py:class:: Dummy(Symbol)
 
-This class returns a dummy symbol to ensure that each no variables are repeated in an expression   
+    This class returns a dummy symbol to ensure that no variables are repeated in an expression. This is useful when the user needs to have a unique symbol, for example as a temporary one in some calculation, which is going to be substituted for something else at the end anyway.    
+    
+    .. py:method:: __new__(cls, name=None)
+        
+        Create and return a new dummy symbol.
+        
+    
+.. py:class:: Rational(Expression, Fraction)
+
+    This class represents integers and rational numbers of any size.
+    
+    .. attribute:: constant
+       
+        Return rational as a constant.
+
+    .. py:method:: isconstant(self)
+        
+        Test whether a value is a constant.
+
+    .. py:method:: fromsympy(cls, expr)
+        
+       Create a rational object from a sympy expression 
+