Replace examples by tutorial in documentation

[linpy.git] / doc / reference.rst

diff --git a/doc/reference.rst b/doc/reference.rst
index de5300d..64c37c6 100644 (file)
--- a/doc/reference.rst
+++ b/doc/reference.rst
@@ -1,7 +1,10 @@
 
+.. _reference:
+
 Module Reference
 ================
 
+
 Symbols
 -------
 
@@ -172,7 +175,6 @@ For example, if ``x`` is a :class:`Symbol`, then ``x + 1`` is an instance of :cl
         >>> x < y
         Le(x - y + 1, 0)
 
-
     .. method:: scaleint()
 
         Return the expression multiplied by its lowest common denominator to make all values integer.
@@ -227,6 +229,7 @@ They are implemented by the :class:`Rational` class, that inherits from both :cl
 
     See the documentation of :class:`fractions.Fraction` for more information and examples.
 
+
 Polyhedra
 ---------
 
@@ -278,10 +281,20 @@ This space can be unbounded.
         The tuple of constraints, i.e., equalities and inequalities.
         This is semantically equivalent to: ``equalities + inequalities``.
 
+    .. method:: convex_union(polyhedron[, ...])
+
+        Return the convex union of two or more polyhedra.
+
+    .. method:: asinequalities()
+
+        Express the polyhedron using inequalities, given as a list of expressions greater or equal to 0.
+
     .. method:: widen(polyhedron)
 
         Compute the *standard widening* of two polyhedra, à la Halbwachs.
 
+        In its current implementation, this method is slow and should not be used on large polyhedra.
+
 
 .. data:: Empty
 
@@ -291,11 +304,12 @@ This space can be unbounded.
 
     The universe polyhedron, whose set of constraints is always satisfiable, i.e. is empty.
 
+
 Domains
 -------
 
 A *domain* is a union of polyhedra.
-Unlike polyhedra, domains allow exact computation of union and complementary operations.
+Unlike polyhedra, domains allow exact computation of union, subtraction and complementary operations.
 
 .. class:: Domain(*polyhedra)
               Domain(string)
@@ -493,7 +507,7 @@ The following functions create :class:`Polyhedron` or :class:`Domain` instances
 .. function:: Ne(expr1, expr2[, expr3, ...])
 
     Create the domain such that ``expr1 != expr2 != expr3 ...``.
-    The result is a :class:`Domain`, not a :class:`Polyhedron`.
+    The result is a :class:`Domain` object, not a :class:`Polyhedron`.
 
 .. function:: Ge(expr1, expr2[, expr3, ...])
 
@@ -505,14 +519,14 @@ The following functions create :class:`Polyhedron` or :class:`Domain` instances
 
 The following functions combine :class:`Polyhedron` or :class:`Domain` instances using logic operators:
 
-.. function:: Or(domain1, domain2[, ...])
-
-    Create the union domain of the domains given in arguments.
-
 .. function:: And(domain1, domain2[, ...])
 
     Create the intersection domain of the domains given in arguments.
 
+.. function:: Or(domain1, domain2[, ...])
+
+    Create the union domain of the domains given in arguments.
+
 .. function:: Not(domain)
 
     Create the complementary domain of the domain given in argument.
@@ -677,7 +691,7 @@ Geometric Objects
     .. method:: cross(vector)
 
         Compute the cross product of two 3D vectors.
-        If either one of the vectors is not tridimensional, a :exc:`ValueError` exception is raised.
+        If either one of the vectors is not three-dimensional, a :exc:`ValueError` exception is raised.
 
     .. method:: dot(vector)