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Doc updates (not complete)
[linpy.git]
/
doc
/
polyhedra.rst
diff --git
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b/doc/polyhedra.rst
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doc/polyhedra.rst
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doc/polyhedra.rst
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Polyhedra Module
================
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.
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)
.. 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 con
traints.
+To create a polyhedron, the user
can use the following functions to define equalities and inequalities as the cons
traints.
.. py:function:: Eq(left, right)
.. 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)
.. 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)
.. 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)
.. 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)
.. 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)
.. 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*.