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authorMarc Glisse <marc.glisse@inria.fr>2020-04-29 10:14:45 +0200
committerMarc Glisse <marc.glisse@inria.fr>2020-04-29 10:14:45 +0200
commit12dcefe5578c0eb9707eceb878bd62c053c95e90 (patch)
treeb9959288b84affa3f9639ef5367e44fa552d2286 /src/python/gudhi/simplex_tree.pyx
parent1fc55e54ed2f24969a691914edee642f97142fa9 (diff)
parent0fb22e4c499b665ad505e5d9d2c325f7561f69c4 (diff)
Merge remote-tracking branch 'origin/master' into gen2
Diffstat (limited to 'src/python/gudhi/simplex_tree.pyx')
-rw-r--r--src/python/gudhi/simplex_tree.pyx203
1 files changed, 103 insertions, 100 deletions
diff --git a/src/python/gudhi/simplex_tree.pyx b/src/python/gudhi/simplex_tree.pyx
index dcf1b46e..55115cca 100644
--- a/src/python/gudhi/simplex_tree.pyx
+++ b/src/python/gudhi/simplex_tree.pyx
@@ -91,7 +91,7 @@ cdef class SimplexTree:
(with more :meth:`assign_filtration` or
:meth:`make_filtration_non_decreasing` for instance) before calling
any function that relies on the filtration property, like
- :meth:`initialize_filtration`.
+ :meth:`persistence`.
"""
self.get_ptr().assign_simplex_filtration(simplex, filtration)
@@ -99,16 +99,7 @@ cdef class SimplexTree:
"""This function initializes and sorts the simplicial complex
filtration vector.
- .. note::
-
- This function must be launched before
- :func:`persistence()<gudhi.SimplexTree.persistence>`,
- :func:`betti_numbers()<gudhi.SimplexTree.betti_numbers>`,
- :func:`persistent_betti_numbers()<gudhi.SimplexTree.persistent_betti_numbers>`,
- or :func:`get_filtration()<gudhi.SimplexTree.get_filtration>`
- after :func:`inserting<gudhi.SimplexTree.insert>` or
- :func:`removing<gudhi.SimplexTree.remove_maximal_simplex>`
- simplices.
+ .. deprecated:: 3.2.0
"""
self.get_ptr().initialize_filtration()
@@ -140,9 +131,9 @@ cdef class SimplexTree:
This function is not constant time because it can recompute
dimension if required (can be triggered by
- :func:`remove_maximal_simplex()<gudhi.SimplexTree.remove_maximal_simplex>`
+ :func:`remove_maximal_simplex`
or
- :func:`prune_above_filtration()<gudhi.SimplexTree.prune_above_filtration>`
+ :func:`prune_above_filtration`
methods).
"""
return self.get_ptr().dimension()
@@ -167,9 +158,9 @@ cdef class SimplexTree:
This function must be used with caution because it disables
dimension recomputation when required
(this recomputation can be triggered by
- :func:`remove_maximal_simplex()<gudhi.SimplexTree.remove_maximal_simplex>`
+ :func:`remove_maximal_simplex`
or
- :func:`prune_above_filtration()<gudhi.SimplexTree.prune_above_filtration>`
+ :func:`prune_above_filtration`
).
"""
self.get_ptr().set_dimension(<int>dimension)
@@ -183,10 +174,7 @@ cdef class SimplexTree:
:returns: true if the simplex was found, false otherwise.
:rtype: bool
"""
- cdef vector[int] csimplex
- for i in simplex:
- csimplex.push_back(i)
- return self.get_ptr().find_simplex(csimplex)
+ return self.get_ptr().find_simplex(simplex)
def insert(self, simplex, filtration=0.0):
"""This function inserts the given N-simplex and its subfaces with the
@@ -203,11 +191,7 @@ cdef class SimplexTree:
otherwise (whatever its original filtration value).
:rtype: bool
"""
- cdef vector[int] csimplex
- for i in simplex:
- csimplex.push_back(i)
- return self.get_ptr().insert_simplex_and_subfaces(csimplex,
- <double>filtration)
+ return self.get_ptr().insert(simplex, <double>filtration)
def get_simplices(self):
"""This function returns a generator with simplices and their given
@@ -309,17 +293,12 @@ cdef class SimplexTree:
.. note::
- Be aware that removing is shifting data in a flat_map
- (:func:`initialize_filtration()<gudhi.SimplexTree.initialize_filtration>` to be done).
-
- .. note::
-
The dimension of the simplicial complex may be lower after calling
remove_maximal_simplex than it was before. However,
- :func:`upper_bound_dimension()<gudhi.SimplexTree.upper_bound_dimension>`
+ :func:`upper_bound_dimension`
method will return the old value, which
remains a valid upper bound. If you care, you can call
- :func:`dimension()<gudhi.SimplexTree.dimension>`
+ :func:`dimension`
to recompute the exact dimension.
"""
self.get_ptr().remove_maximal_simplex(simplex)
@@ -335,24 +314,14 @@ cdef class SimplexTree:
.. note::
- Some simplex tree functions require the filtration to be valid.
- prune_above_filtration function is not launching
- :func:`initialize_filtration()<gudhi.SimplexTree.initialize_filtration>`
- but returns the filtration modification
- information. If the complex has changed , please call
- :func:`initialize_filtration()<gudhi.SimplexTree.initialize_filtration>`
- to recompute it.
-
- .. note::
-
Note that the dimension of the simplicial complex may be lower
after calling
- :func:`prune_above_filtration()<gudhi.SimplexTree.prune_above_filtration>`
+ :func:`prune_above_filtration`
than it was before. However,
- :func:`upper_bound_dimension()<gudhi.SimplexTree.upper_bound_dimension>`
+ :func:`upper_bound_dimension`
will return the old value, which remains a
valid upper bound. If you care, you can call
- :func:`dimension()<gudhi.SimplexTree.dimension>`
+ :func:`dimension`
method to recompute the exact dimension.
"""
return self.get_ptr().prune_above_filtration(filtration)
@@ -383,22 +352,63 @@ cdef class SimplexTree:
:returns: True if any filtration value was modified,
False if the filtration was already non-decreasing.
:rtype: bool
+ """
+ return self.get_ptr().make_filtration_non_decreasing()
+ def extend_filtration(self):
+ """ Extend filtration for computing extended persistence. This function only uses the
+ filtration values at the 0-dimensional simplices, and computes the extended persistence
+ diagram induced by the lower-star filtration computed with these values.
.. note::
- Some simplex tree functions require the filtration to be valid.
- make_filtration_non_decreasing function is not launching
- :func:`initialize_filtration()<gudhi.SimplexTree.initialize_filtration>`
- but returns the filtration modification
- information. If the complex has changed , please call
- :func:`initialize_filtration()<gudhi.SimplexTree.initialize_filtration>`
- to recompute it.
+ Note that after calling this function, the filtration
+ values are actually modified within the Simplex_tree.
+ The function :func:`extended_persistence`
+ retrieves the original values.
+
+ .. note::
+
+ Note that this code creates an extra vertex internally, so you should make sure that
+ the Simplex_tree does not contain a vertex with the largest possible value (i.e., 4294967295).
"""
- return self.get_ptr().make_filtration_non_decreasing()
+ self.get_ptr().compute_extended_filtration()
+
+ def extended_persistence(self, homology_coeff_field=11, min_persistence=0):
+ """This function retrieves good values for extended persistence, and separate the diagrams
+ into the Ordinary, Relative, Extended+ and Extended- subdiagrams.
+
+ :param homology_coeff_field: The homology coefficient field. Must be a
+ prime number. Default value is 11.
+ :type homology_coeff_field: int.
+ :param min_persistence: The minimum persistence value (i.e., the absolute value of the difference between the persistence diagram point coordinates) to take into
+ account (strictly greater than min_persistence). Default value is
+ 0.0.
+ Sets min_persistence to -1.0 to see all values.
+ :type min_persistence: float.
+ :returns: A list of four persistence diagrams in the format described in :func:`persistence`. The first one is Ordinary, the second one is Relative, the third one is Extended+ and the fourth one is Extended-. See https://link.springer.com/article/10.1007/s10208-008-9027-z and/or section 2.2 in https://link.springer.com/article/10.1007/s10208-017-9370-z for a description of these subtypes.
+
+ .. note::
+
+ This function should be called only if :func:`extend_filtration` has been called first!
+
+ .. note::
+
+ The coordinates of the persistence diagram points might be a little different than the
+ original filtration values due to the internal transformation (scaling to [-2,-1]) that is
+ performed on these values during the computation of extended persistence.
+ """
+ cdef vector[pair[int, pair[double, double]]] persistence_result
+ if self.pcohptr != NULL:
+ del self.pcohptr
+ self.pcohptr = new Simplex_tree_persistence_interface(self.get_ptr(), False)
+ self.pcohptr.compute_persistence(homology_coeff_field, -1.)
+ persistence_result = self.pcohptr.get_persistence()
+ return self.get_ptr().compute_extended_persistence_subdiagrams(persistence_result, min_persistence)
+
def persistence(self, homology_coeff_field=11, min_persistence=0, persistence_dim_max = False):
- """This function returns the persistence of the simplicial complex.
+ """This function computes and returns the persistence of the simplicial complex.
:param homology_coeff_field: The homology coefficient field. Must be a
prime number. Default value is 11.
@@ -415,13 +425,32 @@ cdef class SimplexTree:
:returns: The persistence of the simplicial complex.
:rtype: list of pairs(dimension, pair(birth, death))
"""
+ self.compute_persistence(homology_coeff_field, min_persistence, persistence_dim_max)
+ return self.pcohptr.get_persistence()
+
+ def compute_persistence(self, homology_coeff_field=11, min_persistence=0, persistence_dim_max = False):
+ """This function computes the persistence of the simplicial complex, so it can be accessed through
+ :func:`persistent_betti_numbers`, :func:`persistence_pairs`, etc. This function is equivalent to :func:`persistence`
+ when you do not want the list :func:`persistence` returns.
+
+ :param homology_coeff_field: The homology coefficient field. Must be a
+ prime number. Default value is 11.
+ :type homology_coeff_field: int.
+ :param min_persistence: The minimum persistence value to take into
+ account (strictly greater than min_persistence). Default value is
+ 0.0.
+ Sets min_persistence to -1.0 to see all values.
+ :type min_persistence: float.
+ :param persistence_dim_max: If true, the persistent homology for the
+ maximal dimension in the complex is computed. If false, it is
+ ignored. Default is false.
+ :type persistence_dim_max: bool
+ :returns: Nothing.
+ """
if self.pcohptr != NULL:
del self.pcohptr
self.pcohptr = new Simplex_tree_persistence_interface(self.get_ptr(), persistence_dim_max)
- cdef vector[pair[int, pair[double, double]]] persistence_result
- if self.pcohptr != NULL:
- persistence_result = self.pcohptr.get_persistence(homology_coeff_field, min_persistence)
- return persistence_result
+ self.pcohptr.compute_persistence(homology_coeff_field, min_persistence)
def betti_numbers(self):
"""This function returns the Betti numbers of the simplicial complex.
@@ -430,16 +459,11 @@ cdef class SimplexTree:
:rtype: list of int
:note: betti_numbers function requires
- :func:`persistence()<gudhi.SimplexTree.persistence>`
+ :func:`compute_persistence`
function to be launched first.
"""
- cdef vector[int] bn_result
- if self.pcohptr != NULL:
- bn_result = self.pcohptr.betti_numbers()
- else:
- print("betti_numbers function requires persistence function"
- " to be launched first.")
- return bn_result
+ assert self.pcohptr != NULL, "compute_persistence() must be called before betti_numbers()"
+ return self.pcohptr.betti_numbers()
def persistent_betti_numbers(self, from_value, to_value):
"""This function returns the persistent Betti numbers of the
@@ -456,16 +480,11 @@ cdef class SimplexTree:
:rtype: list of int
:note: persistent_betti_numbers function requires
- :func:`persistence()<gudhi.SimplexTree.persistence>`
+ :func:`compute_persistence`
function to be launched first.
"""
- cdef vector[int] pbn_result
- if self.pcohptr != NULL:
- pbn_result = self.pcohptr.persistent_betti_numbers(<double>from_value, <double>to_value)
- else:
- print("persistent_betti_numbers function requires persistence function"
- " to be launched first.")
- return pbn_result
+ assert self.pcohptr != NULL, "compute_persistence() must be called before persistent_betti_numbers()"
+ return self.pcohptr.persistent_betti_numbers(<double>from_value, <double>to_value)
def persistence_intervals_in_dimension(self, dimension):
"""This function returns the persistence intervals of the simplicial
@@ -477,16 +496,11 @@ cdef class SimplexTree:
:rtype: numpy array of dimension 2
:note: intervals_in_dim function requires
- :func:`persistence()<gudhi.SimplexTree.persistence>`
+ :func:`compute_persistence`
function to be launched first.
"""
- cdef vector[pair[double,double]] intervals_result
- if self.pcohptr != NULL:
- intervals_result = self.pcohptr.intervals_in_dimension(dimension)
- else:
- print("intervals_in_dim function requires persistence function"
- " to be launched first.")
- return np_array(intervals_result)
+ assert self.pcohptr != NULL, "compute_persistence() must be called before persistence_intervals_in_dimension()"
+ return np_array(self.pcohptr.intervals_in_dimension(dimension))
def persistence_pairs(self):
"""This function returns a list of persistence birth and death simplices pairs.
@@ -495,36 +509,25 @@ cdef class SimplexTree:
:rtype: list of pair of list of int
:note: persistence_pairs function requires
- :func:`persistence()<gudhi.SimplexTree.persistence>`
+ :func:`compute_persistence`
function to be launched first.
"""
- cdef vector[pair[vector[int],vector[int]]] persistence_pairs_result
- if self.pcohptr != NULL:
- persistence_pairs_result = self.pcohptr.persistence_pairs()
- else:
- print("persistence_pairs function requires persistence function"
- " to be launched first.")
- return persistence_pairs_result
+ assert self.pcohptr != NULL, "compute_persistence() must be called before persistence_pairs()"
+ return self.pcohptr.persistence_pairs()
- def write_persistence_diagram(self, persistence_file=''):
+ def write_persistence_diagram(self, persistence_file):
"""This function writes the persistence intervals of the simplicial
complex in a user given file name.
- :param persistence_file: The specific dimension.
+ :param persistence_file: Name of the file.
:type persistence_file: string.
:note: intervals_in_dim function requires
- :func:`persistence()<gudhi.SimplexTree.persistence>`
+ :func:`compute_persistence`
function to be launched first.
"""
- if self.pcohptr != NULL:
- if persistence_file != '':
- self.pcohptr.write_output_diagram(persistence_file.encode('utf-8'))
- else:
- print("persistence_file must be specified")
- else:
- print("intervals_in_dim function requires persistence function"
- " to be launched first.")
+ assert self.pcohptr != NULL, "compute_persistence() must be called before write_persistence_diagram()"
+ self.pcohptr.write_output_diagram(persistence_file.encode('utf-8'))
def lower_star_persistence_generators(self):
"""Assuming this is a lower-star filtration, this function returns the persistence pairs,