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Test insertion of simplex with NaN filtration value #424

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8 changes: 6 additions & 2 deletions src/Simplex_tree/include/gudhi/Simplex_tree.h
Original file line number Diff line number Diff line change
Expand Up @@ -763,9 +763,11 @@ class Simplex_tree {
return insert_vertex_vector(copy, filtration);
}

/** \brief Insert a N-simplex and all his subfaces, from a N-simplex represented by a range of
/** \brief Insert a N-simplex and all its subfaces, from a N-simplex represented by a range of
* Vertex_handles, in the simplicial complex.
*
* Inserting a simplex with filtration value NaN does not modify the filtration value of any pre-existing simplex.
*
* @param[in] Nsimplex range of Vertex_handles, representing the vertices of the new N-simplex
* @param[in] filtration the filtration value assigned to the new N-simplex.
* @return If the new simplex is inserted successfully (i.e. it was not in the
Expand Down Expand Up @@ -1352,7 +1354,8 @@ class Simplex_tree {
* filtration values.
* @return True if any filtration value was modified, false if the filtration was already non-decreasing.
*
* If a simplex has a `NaN` filtration value, it is considered lower than any other defined filtration value.
* If a simplex of dimension 1 or more has a `NaN` filtration value,
* it is considered lower than any other defined filtration value.
*/
bool make_filtration_non_decreasing() {
bool modified = false;
Expand All @@ -1379,6 +1382,7 @@ class Simplex_tree {
for (auto& simplex : boost::adaptors::reverse(sib->members())) {
// Find the maximum filtration value in the border
Boundary_simplex_range boundary = boundary_simplex_range(&simplex);
// We would need a loop using fmax to get consistent results when a vertex has NaN.
Boundary_simplex_iterator max_border = std::max_element(std::begin(boundary), std::end(boundary),
[](Simplex_handle sh1, Simplex_handle sh2) {
return filtration(sh1) < filtration(sh2);
Expand Down
10 changes: 10 additions & 0 deletions src/python/gudhi/simplex_tree.pyx
Original file line number Diff line number Diff line change
Expand Up @@ -184,6 +184,11 @@ cdef class SimplexTree:
simplices are already present with a higher filtration value, their
filtration value is lowered.

.. note::

Inserting a simplex with filtration value `math.nan` does not
modify the filtration value of any simplex already present.
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Perhaps complete this note by adding a warning in the vein of what is done for assign_filtration() saying (e.g.) "In this particular case, the result will not be a valid filtration anymore. Callers are responsible for fixing this (using assign_filtration() or make_filtration_non_decreasing() for instance) before calling any function that relies on the filtration property, like persistence().

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I hadn't realized it, but having some NaN in the complex can have some weird effects. In particular, if I have vertex 0 with value NaN, inserting edge [0, 1] with value 42 does not change the value of vertex 0. I added some confusing text to the doc. We could change that behavior, but would need to check that it doesn't slow things down for normal operations.


:param simplex: The N-simplex to insert, represented by a list of
vertex.
:type simplex: list of int
Expand Down Expand Up @@ -368,6 +373,11 @@ cdef class SimplexTree:
"""This function ensures that each simplex has a higher filtration
value than its faces by increasing the filtration values.

.. note::

For this function, a value of NaN for a simplex of dimension 1 or more
is considered smaller than any other value.

:returns: True if any filtration value was modified,
False if the filtration was already non-decreasing.
:rtype: bool
Expand Down
15 changes: 15 additions & 0 deletions src/python/test/test_simplex_tree.py
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,7 @@

from gudhi import SimplexTree
import pytest
import math

__author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 Inria"
Expand Down Expand Up @@ -399,3 +400,17 @@ def test_boundaries_iterator():

with pytest.raises(RuntimeError):
list(st.get_boundaries([6])) # (6) does not exist

# insert with NaN must not modify filtration values
# make_filtration_non_decreasing considers NaN small
def test_nan():
st = SimplexTree()
st.insert([1], 2.)
st.insert([4], 5.)
st.insert([2], -1.)
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Suggested change
st.insert([2], -1.)
st.insert([2], -1.)
st.insert([1,2], 2.)

Perhaps already add a single edge (with an admissible value) to make sure that both inserting nan and make_filtration_non_decreasing() do not play any role there

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I inserted an extra edge.

st.insert([1, 2, 4], math.nan)
assert math.isnan(st.filtration([2, 4]))
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Suggested change
assert math.isnan(st.filtration([2, 4]))
assert math.isnan(st.filtration([2, 4]))
assert st.filtration([4]) == 5.
assert st.filtration([2]) == -1.
assert st.filtration([1]) == 2.
assert st.filtration([1,2]) == 2.

Perhaps we may want to make sure that we did not modify any of the previous values even before calling st.make_persistence_non_decreasing().

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I thought that checking after make_persistence_non_decreasing would be sufficient (if we overwrite a value with insert, make_persistence_non_decreasing won't be able to reinvent that value), but why not, done.

st.make_filtration_non_decreasing()
assert st.filtration([1, 2, 4]) == 5.
assert st.filtration([1, 2]) == 2.
assert st.filtration([2]) == -1.