XGitUrl: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/98936866ae400d45b7b74f7ba0d04c66ace0424f..148dae3a90146e4b1c5a32d1803a0a2ff66f9deb:/doc/polyhedra.rst
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Polyhedra Module
================
+Polyhedron class allows users to build and inspect polyherons.
+
.. py:class:: Polyhedron
 Polyhedron class allows users to build and inspect polyherons. The following methods provide the properties of a polyhedron.
+ .. py:property:: equalities
+
+ Returns a list of the equalities in a polyhedron.
+
+ .. py:property:: inequalities
 .. py:method:: equalities(self)

 Return a list of the equalities in a polyhedron.

 .. py:method:: inequalities(self)

 Return a list of the inequalities in a polyhedron.
+ Returns a list of the inequalities in a polyhedron.
 .. py:method:: constraints(self)

 Return ta list of the constraints of a polyhedron.
+ .. py:property:: constraints
+
+ Returns a list of the constraints of a polyhedron.
 The following unary operations can be used to inspect a polyhedron.

.. py:method:: disjoint(self)

+
Returns a polyhedron as a disjoint.

+
.. py:method:: isuniverse(self)

 Return ``True`` if a polyhedron is the Universe set.
+
+ Return ``True`` if a polyhedron is the Universe set.
.. py:method:: subs(self, symbol, expression=None)

 Subsitutes an expression into a polyhedron and returns the result.
To create a polyhedron, the user must use the folloing functions to define the equalities and inequalities which are the contraints of a polyhedron.

+ Substitutes an expression into a polyhedron and returns the result.
+
+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*.