Changed implementation of WeightedRips to store simplex values (max distance between simplices' vertices) as an invisible layer on top of each simplex object, so that the data() field of WeightedRips has been freed for use by the users again.
:class:`Simplex` class
======================
.. class:: Simplex
.. method:: __init__(seq[, data])
Initializes :class:`Simplex` from the given sequence `seq` and
optionally real value `data`, e.g.::
s = Simplex([1,2,3], 7.8)
.. method:: add(v)
Adds vertex `v` to the simplex, increasing its dimension by 1.
.. seealso:: :meth:`~Simplex.join`
.. attribute:: boundary
Iterator over the boundary :math:`\partial \sigma` of the simplex,
e.g.::
for sb in s.boundary: print sb
.. method:: contains(v)
:returns: `True` iff the simplex contains vertex `v`.
.. method:: dimension()
:returns: the dimension of the simplex (one less than its number of
vertices).
.. method:: join(other)
Joins the current simplex with the `other` simplex. The method copies over
the vertices from the `other` simplex.
.. attribute:: data
Real value stored in the simplex.
.. attribute:: vertices
(Sorted) vertices of the simplex accessible as a sequence, e.g.::
for v in s.vertices: print v,
.. method:: __hash__()
.. method:: __eq__(other)
Simplices are hashable, and equality comparable, and therefore can be
stored in a dictionary. Simplices are equal if their
:attr:`~Simplex.vertices` are the same.
Utility functions for manipulating simplices
--------------------------------------------
The first function :func:`vertex_cmp` is a Python interface to a C++ function.
The rest are pure Python functions defined in
:sfile:`bindings/python/dionysis/__init__.py`.
.. function:: vertex_cmp(s1, s2)
Compares the two simplices with respect to the lexicographic order of their vertices.
.. function:: vertex_dim_cmp(s1, s2)
Compares the two simplices with respect to their dimension, and lexicographically
within the same dimension.
.. function:: data_cmp(s1, s2)
Compares the two simplices with respect to the data (real values) they
store.
.. function:: data_dim_cmp(s1, s2)
Compares the two simplices with respect to their dimension and within the same
dimension with respect to their data.