diff options
Diffstat (limited to 'src')
34 files changed, 160 insertions, 208 deletions
diff --git a/src/Alpha_complex/concept/SimplicialComplexForAlpha.h b/src/Alpha_complex/concept/SimplicialComplexForAlpha.h index 1c6c3b0c..c20c3201 100644 --- a/src/Alpha_complex/concept/SimplicialComplexForAlpha.h +++ b/src/Alpha_complex/concept/SimplicialComplexForAlpha.h @@ -72,6 +72,24 @@ struct SimplicialComplexForAlpha { /** \brief Return type of an insertion of a simplex */ typedef unspecified Insertion_result_type; + + /** \name Map interface + * Conceptually a `std::unordered_map<Simplex_handle,std::size_t>`. + * @{ */ + /** \brief Data stored for each simplex. + * + * Must be an integer type. */ + typedef unspecified Simplex_key; + /** \brief Returns a constant dummy number that is either negative, + * or at least as large as the number of simplices. Suggested value: -1. */ + Simplex_key null_key (); + /** \brief Returns the number stored for a simplex by `assign_key()`. + * + * If `assign_key()` has not been called, it must return `null_key()`. */ + Simplex_key key ( Simplex_handle sh ); + /** \brief Store a number for a simplex, which can later be retrieved with `key()`. */ + void assign_key(Simplex_handle sh, Simplex_key n); + /** @} */ }; } // namespace alpha_complex diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex.h b/src/Alpha_complex/include/gudhi/Alpha_complex.h index 1b5d6997..ba91998d 100644 --- a/src/Alpha_complex/include/gudhi/Alpha_complex.h +++ b/src/Alpha_complex/include/gudhi/Alpha_complex.h @@ -112,9 +112,6 @@ class Alpha_complex { typedef typename Kernel::Side_of_bounded_sphere_d Is_Gabriel; typedef typename Kernel::Point_dimension_d Point_Dimension; - // Type required to compute squared radius, or side of bounded sphere on a vector of points. - typedef typename std::vector<Point_d> Vector_of_CGAL_points; - // Vertex_iterator type from CGAL. typedef typename Delaunay_triangulation::Vertex_iterator CGAL_vertex_iterator; @@ -124,6 +121,9 @@ class Alpha_complex { // Structure to switch from simplex tree vertex handle to CGAL vertex iterator. typedef typename std::vector< CGAL_vertex_iterator > Vector_vertex_iterator; + // Numeric type of coordinates in the kernel + typedef typename Kernel::FT FT; + private: /** \brief Vertex iterator vector to switch from simplex tree vertex handle to CGAL vertex iterator. * Vertex handles are inserted sequentially, starting at 0.*/ @@ -132,6 +132,8 @@ class Alpha_complex { Delaunay_triangulation* triangulation_; /** \brief Kernel for triangulation_ functions access.*/ Kernel kernel_; + /** \brief Cache for geometric constructions: circumcenter and squared radius of a simplex.*/ + std::vector<std::pair<Point_d, FT>> cache_, old_cache_; public: /** \brief Alpha_complex constructor from an OFF file name. @@ -246,6 +248,49 @@ class Alpha_complex { } } + /** \brief get_point_ returns the point corresponding to the vertex given as parameter. + * Only for internal use for faster access. + * + * @param[in] vertex Vertex handle of the point to retrieve. + * @return The point found. + */ + const Point_d& get_point_(std::size_t vertex) const { + return vertex_handle_to_iterator_[vertex]->point(); + } + + /// Return a reference to the circumcenter and circumradius, writing them in the cache if necessary. + template<class SimplicialComplexForAlpha> + auto& get_cache(SimplicialComplexForAlpha& cplx, typename SimplicialComplexForAlpha::Simplex_handle s) { + auto k = cplx.key(s); + if(k==cplx.null_key()){ + k = cache_.size(); + cplx.assign_key(s, k); + // Using a transform_range is slower, currently. + thread_local std::vector<Point_d> v; + v.clear(); + for (auto vertex : cplx.simplex_vertex_range(s)) + v.push_back(get_point_(vertex)); + Point_d c = kernel_.construct_circumcenter_d_object()(v.cbegin(), v.cend()); + FT r = kernel_.squared_distance_d_object()(c, v[0]); + cache_.emplace_back(std::move(c), std::move(r)); + } + return cache_[k]; + } + + /// Return the circumradius, either from the old cache or computed, without writing to the cache. + template<class SimplicialComplexForAlpha> + auto radius(SimplicialComplexForAlpha& cplx, typename SimplicialComplexForAlpha::Simplex_handle s) { + auto k = cplx.key(s); + if(k!=cplx.null_key()) + return old_cache_[k].second; + // Using a transform_range is slower, currently. + thread_local std::vector<Point_d> v; + v.clear(); + for (auto vertex : cplx.simplex_vertex_range(s)) + v.push_back(get_point_(vertex)); + return kernel_.compute_squared_radius_d_object()(v.cbegin(), v.cend()); + } + public: /** \brief Inserts all Delaunay triangulation into the simplicial complex. * It also computes the filtration values accordingly to the \ref createcomplexalgorithm if default_filtration_value @@ -324,52 +369,36 @@ class Alpha_complex { if (!default_filtration_value) { // -------------------------------------------------------------------------------------------- - // Will be re-used many times - Vector_of_CGAL_points pointVector; // ### For i : d -> 0 for (int decr_dim = triangulation_->maximal_dimension(); decr_dim >= 0; decr_dim--) { // ### Foreach Sigma of dim i for (Simplex_handle f_simplex : complex.skeleton_simplex_range(decr_dim)) { int f_simplex_dim = complex.dimension(f_simplex); if (decr_dim == f_simplex_dim) { - pointVector.clear(); - #ifdef DEBUG_TRACES - std::clog << "Sigma of dim " << decr_dim << " is"; - #endif // DEBUG_TRACES - for (auto vertex : complex.simplex_vertex_range(f_simplex)) { - pointVector.push_back(get_point(vertex)); - #ifdef DEBUG_TRACES - std::clog << " " << vertex; - #endif // DEBUG_TRACES - } - #ifdef DEBUG_TRACES - std::clog << std::endl; - #endif // DEBUG_TRACES // ### If filt(Sigma) is NaN : filt(Sigma) = alpha(Sigma) if (std::isnan(complex.filtration(f_simplex))) { Filtration_value alpha_complex_filtration = 0.0; // No need to compute squared_radius on a single point - alpha is 0.0 if (f_simplex_dim > 0) { - // squared_radius function initialization - Squared_Radius squared_radius = kernel_.compute_squared_radius_d_object(); - - CGAL::NT_converter<typename Geom_traits::FT, Filtration_value> cv; - auto sqrad = squared_radius(pointVector.begin(), pointVector.end()); - #if CGAL_VERSION_NR >= 1050000000 + auto const& sqrad = radius(complex, f_simplex); +#if CGAL_VERSION_NR >= 1050000000 if(exact) CGAL::exact(sqrad); - #endif +#endif + CGAL::NT_converter<FT, Filtration_value> cv; alpha_complex_filtration = cv(sqrad); } complex.assign_filtration(f_simplex, alpha_complex_filtration); - #ifdef DEBUG_TRACES +#ifdef DEBUG_TRACES std::clog << "filt(Sigma) is NaN : filt(Sigma) =" << complex.filtration(f_simplex) << std::endl; - #endif // DEBUG_TRACES +#endif // DEBUG_TRACES } // No need to propagate further, unweighted points all have value 0 if (decr_dim > 1) propagate_alpha_filtration(complex, f_simplex); } } + old_cache_ = std::move(cache_); + cache_.clear(); } // -------------------------------------------------------------------------------------------- @@ -388,9 +417,7 @@ class Alpha_complex { void propagate_alpha_filtration(SimplicialComplexForAlpha& complex, Simplex_handle f_simplex) { // From SimplicialComplexForAlpha type required to assign filtration values. typedef typename SimplicialComplexForAlpha::Filtration_value Filtration_value; -#ifdef DEBUG_TRACES typedef typename SimplicialComplexForAlpha::Vertex_handle Vertex_handle; -#endif // DEBUG_TRACES // ### Foreach Tau face of Sigma for (auto f_boundary : complex.boundary_simplex_range(f_simplex)) { @@ -414,33 +441,18 @@ class Alpha_complex { #endif // DEBUG_TRACES // ### Else } else { - // insert the Tau points in a vector for is_gabriel function - Vector_of_CGAL_points pointVector; -#ifdef DEBUG_TRACES - Vertex_handle vertexForGabriel = Vertex_handle(); -#endif // DEBUG_TRACES - for (auto vertex : complex.simplex_vertex_range(f_boundary)) { - pointVector.push_back(get_point(vertex)); - } - // Retrieve the Sigma point that is not part of Tau - parameter for is_gabriel function - Point_d point_for_gabriel; - for (auto vertex : complex.simplex_vertex_range(f_simplex)) { - point_for_gabriel = get_point(vertex); - if (std::find(pointVector.begin(), pointVector.end(), point_for_gabriel) == pointVector.end()) { -#ifdef DEBUG_TRACES - // vertex is not found in Tau - vertexForGabriel = vertex; -#endif // DEBUG_TRACES - // No need to continue loop - break; - } - } - // is_gabriel function initialization - Is_Gabriel is_gabriel = kernel_.side_of_bounded_sphere_d_object(); - bool is_gab = is_gabriel(pointVector.begin(), pointVector.end(), point_for_gabriel) - != CGAL::ON_BOUNDED_SIDE; + // Find which vertex of f_simplex is missing in f_boundary. We could actually write a variant of boundary_simplex_range that gives pairs (f_boundary, vertex). We rely on the fact that simplex_vertex_range is sorted. + auto longlist = complex.simplex_vertex_range(f_simplex); + auto shortlist = complex.simplex_vertex_range(f_boundary); + auto longiter = std::begin(longlist); + auto shortiter = std::begin(shortlist); + auto enditer = std::end(shortlist); + while(shortiter != enditer && *longiter == *shortiter) { ++longiter; ++shortiter; } + Vertex_handle extra = *longiter; + auto const& cache=get_cache(complex, f_boundary); + bool is_gab = kernel_.squared_distance_d_object()(cache.first, get_point_(extra)) >= cache.second; #ifdef DEBUG_TRACES - std::clog << " | Tau is_gabriel(Sigma)=" << is_gab << " - vertexForGabriel=" << vertexForGabriel << std::endl; + std::clog << " | Tau is_gabriel(Sigma)=" << is_gab << " - vertexForGabriel=" << extra << std::endl; #endif // DEBUG_TRACES // ### If Tau is not Gabriel of Sigma if (false == is_gab) { diff --git a/src/Alpha_complex/test/Alpha_complex_unit_test.cpp b/src/Alpha_complex/test/Alpha_complex_unit_test.cpp index da1d8004..4b37e4bd 100644 --- a/src/Alpha_complex/test/Alpha_complex_unit_test.cpp +++ b/src/Alpha_complex/test/Alpha_complex_unit_test.cpp @@ -188,9 +188,6 @@ BOOST_AUTO_TEST_CASE(Alpha_complex_from_points) { // Test after prune_above_filtration bool modified = simplex_tree.prune_above_filtration(0.6); - if (modified) { - simplex_tree.initialize_filtration(); - } BOOST_CHECK(modified); // Another way to check num_simplices diff --git a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp index e93c412e..91899040 100644 --- a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp +++ b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp @@ -222,9 +222,6 @@ int main(int argc, char **argv) { break; } - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - std::clog << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree, true); diff --git a/src/Alpha_complex/utilities/alpha_complex_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_persistence.cpp index be60ff78..7c898dfd 100644 --- a/src/Alpha_complex/utilities/alpha_complex_persistence.cpp +++ b/src/Alpha_complex/utilities/alpha_complex_persistence.cpp @@ -75,9 +75,6 @@ int main(int argc, char **argv) { std::clog << "Simplicial complex is of dimension " << simplex.dimension() << " - " << simplex.num_simplices() << " simplices - " << simplex.num_vertices() << " vertices." << std::endl; - // Sort the simplices in the order of the filtration - simplex.initialize_filtration(); - std::clog << "Simplex_tree dim: " << simplex.dimension() << std::endl; // Compute the persistence diagram of the complex Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Gudhi::persistent_cohomology::Field_Zp> pcoh( diff --git a/src/Bottleneck_distance/example/alpha_rips_persistence_bottleneck_distance.cpp b/src/Bottleneck_distance/example/alpha_rips_persistence_bottleneck_distance.cpp index 4769eca3..ceb9e226 100644 --- a/src/Bottleneck_distance/example/alpha_rips_persistence_bottleneck_distance.cpp +++ b/src/Bottleneck_distance/example/alpha_rips_persistence_bottleneck_distance.cpp @@ -71,9 +71,6 @@ int main(int argc, char * argv[]) { std::clog << "The Rips complex contains " << rips_stree.num_simplices() << " simplices and has dimension " << rips_stree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - rips_stree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology rips_pcoh(rips_stree); // initializes the coefficient field for homology @@ -92,9 +89,6 @@ int main(int argc, char * argv[]) { std::clog << "The Alpha complex contains " << alpha_stree.num_simplices() << " simplices and has dimension " << alpha_stree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - alpha_stree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology alpha_pcoh(alpha_stree); // initializes the coefficient field for homology diff --git a/src/Persistent_cohomology/example/custom_persistence_sort.cpp b/src/Persistent_cohomology/example/custom_persistence_sort.cpp index 87e9c207..410cd987 100644 --- a/src/Persistent_cohomology/example/custom_persistence_sort.cpp +++ b/src/Persistent_cohomology/example/custom_persistence_sort.cpp @@ -86,9 +86,6 @@ int main(int argc, char **argv) { " - " << simplex.num_simplices() << " simplices - " << simplex.num_vertices() << " vertices." << std::endl; - // Sort the simplices in the order of the filtration - simplex.initialize_filtration(); - std::clog << "Simplex_tree dim: " << simplex.dimension() << std::endl; Persistent_cohomology pcoh(simplex); diff --git a/src/Persistent_cohomology/example/persistence_from_file.cpp b/src/Persistent_cohomology/example/persistence_from_file.cpp index 79108730..38c44514 100644 --- a/src/Persistent_cohomology/example/persistence_from_file.cpp +++ b/src/Persistent_cohomology/example/persistence_from_file.cpp @@ -59,9 +59,6 @@ int main(int argc, char * argv[]) { std::clog << std::endl; }*/ - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Persistent_cohomology/example/plain_homology.cpp b/src/Persistent_cohomology/example/plain_homology.cpp index 4d329020..236b67de 100644 --- a/src/Persistent_cohomology/example/plain_homology.cpp +++ b/src/Persistent_cohomology/example/plain_homology.cpp @@ -59,9 +59,6 @@ int main() { st.insert_simplex_and_subfaces(edge35); st.insert_simplex(vertex4); - // Sort the simplices in the order of the filtration - st.initialize_filtration(); - // Class for homology computation // By default, since the complex has dimension 1, only 0-dimensional homology would be computed. // Here we also want persistent homology to be computed for the maximal dimension in the complex (persistence_dim_max = true) diff --git a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp index e2e2c0a5..2edf5bc4 100644 --- a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp +++ b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp @@ -59,9 +59,6 @@ int main(int argc, char * argv[]) { std::clog << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::clog << " and has dimension " << simplex_tree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp index 7da9f15d..a503d983 100644 --- a/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp +++ b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp @@ -76,9 +76,6 @@ int main(int argc, char * argv[]) { std::clog << "The complex contains " << st.num_simplices() << " simplices \n"; std::clog << " and has dimension " << st.dimension() << " \n"; - // Sort the simplices in the order of the filtration - st.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(st); // initializes the coefficient field for homology diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h index ca4bc10d..bc111f94 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h @@ -561,7 +561,6 @@ class Persistent_cohomology { void output_diagram(std::ostream& ostream = std::cout) { cmp_intervals_by_length cmp(cpx_); std::sort(std::begin(persistent_pairs_), std::end(persistent_pairs_), cmp); - bool has_infinity = std::numeric_limits<Filtration_value>::has_infinity; for (auto pair : persistent_pairs_) { ostream << get<2>(pair) << " " << cpx_->dimension(get<0>(pair)) << " " << cpx_->filtration(get<0>(pair)) << " " @@ -573,7 +572,6 @@ class Persistent_cohomology { std::ofstream diagram_out(diagram_name.c_str()); cmp_intervals_by_length cmp(cpx_); std::sort(std::begin(persistent_pairs_), std::end(persistent_pairs_), cmp); - bool has_infinity = std::numeric_limits<Filtration_value>::has_infinity; for (auto pair : persistent_pairs_) { diagram_out << cpx_->dimension(get<0>(pair)) << " " << cpx_->filtration(get<0>(pair)) << " " diff --git a/src/Rips_complex/utilities/rips_correlation_matrix_persistence.cpp b/src/Rips_complex/utilities/rips_correlation_matrix_persistence.cpp index 67f921a6..b473738e 100644 --- a/src/Rips_complex/utilities/rips_correlation_matrix_persistence.cpp +++ b/src/Rips_complex/utilities/rips_correlation_matrix_persistence.cpp @@ -71,9 +71,6 @@ int main(int argc, char* argv[]) { std::clog << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::clog << " and has dimension " << simplex_tree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Rips_complex/utilities/rips_distance_matrix_persistence.cpp b/src/Rips_complex/utilities/rips_distance_matrix_persistence.cpp index 4ad19675..6306755d 100644 --- a/src/Rips_complex/utilities/rips_distance_matrix_persistence.cpp +++ b/src/Rips_complex/utilities/rips_distance_matrix_persistence.cpp @@ -50,9 +50,6 @@ int main(int argc, char* argv[]) { std::clog << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::clog << " and has dimension " << simplex_tree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Rips_complex/utilities/rips_persistence.cpp b/src/Rips_complex/utilities/rips_persistence.cpp index 4cc63d3c..9d7490b3 100644 --- a/src/Rips_complex/utilities/rips_persistence.cpp +++ b/src/Rips_complex/utilities/rips_persistence.cpp @@ -52,9 +52,6 @@ int main(int argc, char* argv[]) { std::clog << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::clog << " and has dimension " << simplex_tree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Rips_complex/utilities/sparse_rips_persistence.cpp b/src/Rips_complex/utilities/sparse_rips_persistence.cpp index 40606158..ac935b41 100644 --- a/src/Rips_complex/utilities/sparse_rips_persistence.cpp +++ b/src/Rips_complex/utilities/sparse_rips_persistence.cpp @@ -54,9 +54,6 @@ int main(int argc, char* argv[]) { std::clog << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; std::clog << " and has dimension " << simplex_tree.dimension() << " \n"; - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - // Compute the persistence diagram of the complex Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h index b455ae31..889dbd00 100644 --- a/src/Simplex_tree/include/gudhi/Simplex_tree.h +++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h @@ -142,7 +142,10 @@ class Simplex_tree { public: /** \brief Handle type to a simplex contained in the simplicial complex represented - * by the simplex tree. */ + * by the simplex tree. + * + * They are essentially pointers into internal vectors, and any insertion or removal + * of a simplex may invalidate any other Simplex_handle in the complex. */ typedef typename Dictionary::iterator Simplex_handle; private: @@ -255,11 +258,9 @@ class Simplex_tree { * * The filtration must be valid. If the filtration has not been initialized yet, the * method initializes it (i.e. order the simplices). If the complex has changed since the last time the filtration - * was initialized, please call `initialize_filtration()` to recompute it. */ + * was initialized, please call `clear_filtration()` or `initialize_filtration()` to recompute it. */ Filtration_simplex_range const& filtration_simplex_range(Indexing_tag = Indexing_tag()) { - if (filtration_vect_.empty()) { - initialize_filtration(); - } + maybe_initialize_filtration(); return filtration_vect_; } @@ -485,7 +486,7 @@ class Simplex_tree { public: /** \brief Returns the key associated to a simplex. * - * The filtration must be initialized. + * If no key has been assigned, returns `null_key()`. * \pre SimplexTreeOptions::store_key */ static Simplex_key key(Simplex_handle sh) { @@ -495,7 +496,6 @@ class Simplex_tree { /** \brief Returns the simplex that has index idx in the filtration. * * The filtration must be initialized. - * \pre SimplexTreeOptions::store_key */ Simplex_handle simplex(Simplex_key idx) const { return filtration_vect_[idx]; @@ -531,8 +531,7 @@ class Simplex_tree { return Dictionary_it(nullptr); } - /** \brief Returns a key different for all keys associated to the - * simplices of the simplicial complex. */ + /** \brief Returns a fixed number not in the interval [0, `num_simplices()`). */ static Simplex_key null_key() { return -1; } @@ -877,15 +876,13 @@ class Simplex_tree { } public: - /** \brief Initializes the filtrations, i.e. sort the - * simplices according to their order in the filtration and initializes all Simplex_keys. + /** \brief Initializes the filtration cache, i.e. sorts the + * simplices according to their order in the filtration. * - * After calling this method, filtration_simplex_range() becomes valid, and each simplex is - * assigned a Simplex_key corresponding to its order in the filtration (from 0 to m-1 for a - * simplicial complex with m simplices). + * It always recomputes the cache, even if one already exists. * - * Will be automatically called when calling filtration_simplex_range() - * if the filtration has never been initialized yet. */ + * Any insertion, deletion or change of filtration value invalidates this cache, + * which can be cleared with clear_filtration(). */ void initialize_filtration() { filtration_vect_.clear(); filtration_vect_.reserve(num_simplices()); @@ -907,6 +904,21 @@ class Simplex_tree { std::stable_sort(filtration_vect_.begin(), filtration_vect_.end(), is_before_in_filtration(this)); #endif } + /** \brief Initializes the filtration cache if it isn't initialized yet. + * + * Automatically called by filtration_simplex_range(). */ + void maybe_initialize_filtration() { + if (filtration_vect_.empty()) { + initialize_filtration(); + } + } + /** \brief Clears the filtration cache produced by initialize_filtration(). + * + * Useful when initialize_filtration() has already been called and we perform an operation + * (say an insertion) that invalidates the cache. */ + void clear_filtration() { + filtration_vect_.clear(); + } private: /** Recursive search of cofaces @@ -1128,6 +1140,7 @@ class Simplex_tree { * 1 when calling the method. */ void expansion(int max_dim) { if (max_dim <= 1) return; + clear_filtration(); // Drop the cache. dimension_ = max_dim; for (Dictionary_it root_it = root_.members_.begin(); root_it != root_.members_.end(); ++root_it) { @@ -1338,9 +1351,6 @@ class Simplex_tree { /** \brief This function ensures that each simplex has a higher filtration value than its faces by increasing the * filtration values. * @return True if any filtration value was modified, false if the filtration was already non-decreasing. - * \post Some simplex tree functions require the filtration to be valid. `make_filtration_non_decreasing()` - * function is not launching `initialize_filtration()` but returns the filtration modification information. If the - * complex has changed , please call `initialize_filtration()` to recompute it. * * If a simplex has a `NaN` filtration value, it is considered lower than any other defined filtration value. */ @@ -1352,6 +1362,8 @@ class Simplex_tree { modified |= rec_make_filtration_non_decreasing(simplex.second.children()); } } + if(modified) + clear_filtration(); // Drop the cache. return modified; } @@ -1391,16 +1403,16 @@ class Simplex_tree { public: /** \brief Prune above filtration value given as parameter. * @param[in] filtration Maximum threshold value. - * @return The filtration modification information. - * \post Some simplex tree functions require the filtration to be valid. `prune_above_filtration()` - * function is not launching `initialize_filtration()` but returns the filtration modification information. If the - * complex has changed , please call `initialize_filtration()` to recompute it. + * @return True if any simplex was removed, false if all simplices already had a value below the threshold. * \post Note that the dimension of the simplicial complex may be lower after calling `prune_above_filtration()` * than it was before. However, `upper_bound_dimension()` will return the old value, which remains a valid upper * bound. If you care, you can call `dimension()` to recompute the exact dimension. */ bool prune_above_filtration(Filtration_value filtration) { - return rec_prune_above_filtration(root(), filtration); + bool modified = rec_prune_above_filtration(root(), filtration); + if(modified) + clear_filtration(); // Drop the cache. + return modified; } private: @@ -1467,7 +1479,6 @@ class Simplex_tree { * @param[in] sh Simplex handle on the maximal simplex to remove. * \pre Please check the simplex has no coface before removing it. * \exception std::invalid_argument In debug mode, if sh has children. - * \post Be aware that removing is shifting data in a flat_map (initialize_filtration to be done). * \post Note that the dimension of the simplicial complex may be lower after calling `remove_maximal_simplex()` * than it was before. However, `upper_bound_dimension()` will return the old value, which remains a valid upper * bound. If you care, you can call `dimension()` to recompute the exact dimension. @@ -1539,6 +1550,7 @@ class Simplex_tree { * the original filtration values for each simplex. */ Extended_filtration_data extend_filtration() { + clear_filtration(); // Drop the cache. // Compute maximum and minimum of filtration values Vertex_handle maxvert = std::numeric_limits<Vertex_handle>::min(); diff --git a/src/python/doc/simplex_tree_ref.rst b/src/python/doc/simplex_tree_ref.rst index 9eb8c199..46b2c1e5 100644 --- a/src/python/doc/simplex_tree_ref.rst +++ b/src/python/doc/simplex_tree_ref.rst @@ -8,7 +8,6 @@ Simplex tree reference manual .. autoclass:: gudhi.SimplexTree :members: - :undoc-members: :show-inheritance: .. automethod:: gudhi.SimplexTree.__init__ diff --git a/src/python/example/alpha_complex_from_points_example.py b/src/python/example/alpha_complex_from_points_example.py index 73faf17c..465632eb 100755 --- a/src/python/example/alpha_complex_from_points_example.py +++ b/src/python/example/alpha_complex_from_points_example.py @@ -46,9 +46,6 @@ if simplex_tree.find([4]): else: print("[4] Not found...") -# Some insertions, simplex_tree needs to initialize filtrations -simplex_tree.initialize_filtration() - print("dimension=", simplex_tree.dimension()) print("filtrations=") for simplex_with_filtration in simplex_tree.get_filtration(): diff --git a/src/python/example/simplex_tree_example.py b/src/python/example/simplex_tree_example.py index 34833899..c4635dc5 100755 --- a/src/python/example/simplex_tree_example.py +++ b/src/python/example/simplex_tree_example.py @@ -42,7 +42,6 @@ print("simplices=") for simplex_with_filtration in st.get_simplices(): print("(%s, %.2f)" % tuple(simplex_with_filtration)) -st.initialize_filtration() print("filtration=") for simplex_with_filtration in st.get_filtration(): print("(%s, %.2f)" % tuple(simplex_with_filtration)) diff --git a/src/python/gudhi/simplex_tree.pxd b/src/python/gudhi/simplex_tree.pxd index 595f22bb..7e3bba2b 100644 --- a/src/python/gudhi/simplex_tree.pxd +++ b/src/python/gudhi/simplex_tree.pxd @@ -48,8 +48,7 @@ cdef extern from "Simplex_tree_interface.h" namespace "Gudhi": int dimension() int upper_bound_dimension() bool find_simplex(vector[int] simplex) - bool insert_simplex_and_subfaces(vector[int] simplex, - double filtration) + bool insert(vector[int] simplex, double filtration) vector[pair[vector[int], double]] get_star(vector[int] simplex) vector[pair[vector[int], double]] get_cofaces(vector[int] simplex, int dimension) diff --git a/src/python/gudhi/simplex_tree.pyx b/src/python/gudhi/simplex_tree.pyx index cc3753e1..a709980f 100644 --- a/src/python/gudhi/simplex_tree.pyx +++ b/src/python/gudhi/simplex_tree.pyx @@ -90,7 +90,7 @@ 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) @@ -98,16 +98,7 @@ 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() @@ -182,10 +173,7 @@ 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 @@ -202,11 +190,7 @@ 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 @@ -308,11 +292,6 @@ 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>` @@ -334,16 +313,6 @@ 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>` @@ -382,17 +351,6 @@ cdef class SimplexTree: :returns: True if any filtration value was modified, False if the filtration was already non-decreasing. :rtype: bool - - - .. 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. """ return self.get_ptr().make_filtration_non_decreasing() diff --git a/src/python/gudhi/wasserstein/wasserstein.py b/src/python/gudhi/wasserstein/wasserstein.py index 35315939..efc851a0 100644 --- a/src/python/gudhi/wasserstein/wasserstein.py +++ b/src/python/gudhi/wasserstein/wasserstein.py @@ -15,6 +15,8 @@ try: except ImportError: print("POT (Python Optimal Transport) package is not installed. Try to run $ conda install -c conda-forge pot ; or $ pip install POT") + +# Currently unused, but Théo says it is likely to be used again. def _proj_on_diag(X): ''' :param X: (n x 2) array encoding the points of a persistent diagram. @@ -24,7 +26,19 @@ def _proj_on_diag(X): return np.array([Z , Z]).T -def _build_dist_matrix(X, Y, order=2., internal_p=2.): +def _dist_to_diag(X, internal_p): + ''' + :param X: (n x 2) array encoding the points of a persistent diagram. + :param internal_p: Ground metric (i.e. norm L^p). + :returns: (n) array encoding the (respective orthogonal) distances of the points to the diagonal + + .. note:: + Assumes that the points are above the diagonal. + ''' + return (X[:, 1] - X[:, 0]) * 2 ** (1.0 / internal_p - 1) + + +def _build_dist_matrix(X, Y, order, internal_p): ''' :param X: (n x 2) numpy.array encoding the (points of the) first diagram. :param Y: (m x 2) numpy.array encoding the second diagram. @@ -36,16 +50,12 @@ def _build_dist_matrix(X, Y, order=2., internal_p=2.): and its orthogonal projection onto the diagonal. note also that C[n, m] = 0 (it costs nothing to move from the diagonal to the diagonal). ''' - Xdiag = _proj_on_diag(X) - Ydiag = _proj_on_diag(Y) + Cxd = _dist_to_diag(X, internal_p)**order + Cdy = _dist_to_diag(Y, internal_p)**order if np.isinf(internal_p): C = sc.cdist(X,Y, metric='chebyshev')**order - Cxd = np.linalg.norm(X - Xdiag, ord=internal_p, axis=1)**order - Cdy = np.linalg.norm(Y - Ydiag, ord=internal_p, axis=1)**order else: C = sc.cdist(X,Y, metric='minkowski', p=internal_p)**order - Cxd = np.linalg.norm(X - Xdiag, ord=internal_p, axis=1)**order - Cdy = np.linalg.norm(Y - Ydiag, ord=internal_p, axis=1)**order Cf = np.hstack((C, Cxd[:,None])) Cdy = np.append(Cdy, 0) @@ -61,8 +71,7 @@ def _perstot(X, order, internal_p): :param internal_p: Ground metric on the (upper-half) plane (i.e. norm L^p in R^2); Default value is 2 (Euclidean norm). :returns: float, the total persistence of the diagram (that is, its distance to the empty diagram). ''' - Xdiag = _proj_on_diag(X) - return (np.sum(np.linalg.norm(X - Xdiag, ord=internal_p, axis=1)**order))**(1./order) + return np.linalg.norm(_dist_to_diag(X, internal_p), ord=order) def wasserstein_distance(X, Y, matching=False, order=2., internal_p=2.): diff --git a/src/python/include/Alpha_complex_interface.h b/src/python/include/Alpha_complex_interface.h index 8614eee3..40de88f3 100644 --- a/src/python/include/Alpha_complex_interface.h +++ b/src/python/include/Alpha_complex_interface.h @@ -58,7 +58,6 @@ class Alpha_complex_interface { void create_simplex_tree(Simplex_tree_interface<>* simplex_tree, double max_alpha_square) { alpha_complex_->create_complex(*simplex_tree, max_alpha_square); - simplex_tree->initialize_filtration(); } private: diff --git a/src/python/include/Euclidean_strong_witness_complex_interface.h b/src/python/include/Euclidean_strong_witness_complex_interface.h index c1c72737..f94c51ef 100644 --- a/src/python/include/Euclidean_strong_witness_complex_interface.h +++ b/src/python/include/Euclidean_strong_witness_complex_interface.h @@ -50,12 +50,10 @@ class Euclidean_strong_witness_complex_interface { void create_simplex_tree(Gudhi::Simplex_tree<>* simplex_tree, double max_alpha_square, std::size_t limit_dimension) { witness_complex_->create_complex(*simplex_tree, max_alpha_square, limit_dimension); - simplex_tree->initialize_filtration(); } void create_simplex_tree(Gudhi::Simplex_tree<>* simplex_tree, double max_alpha_square) { witness_complex_->create_complex(*simplex_tree, max_alpha_square); - simplex_tree->initialize_filtration(); } std::vector<double> get_point(unsigned vh) { diff --git a/src/python/include/Euclidean_witness_complex_interface.h b/src/python/include/Euclidean_witness_complex_interface.h index 5d7dbdc2..4411ae79 100644 --- a/src/python/include/Euclidean_witness_complex_interface.h +++ b/src/python/include/Euclidean_witness_complex_interface.h @@ -49,12 +49,10 @@ class Euclidean_witness_complex_interface { void create_simplex_tree(Gudhi::Simplex_tree<>* simplex_tree, double max_alpha_square, std::size_t limit_dimension) { witness_complex_->create_complex(*simplex_tree, max_alpha_square, limit_dimension); - simplex_tree->initialize_filtration(); } void create_simplex_tree(Gudhi::Simplex_tree<>* simplex_tree, double max_alpha_square) { witness_complex_->create_complex(*simplex_tree, max_alpha_square); - simplex_tree->initialize_filtration(); } std::vector<double> get_point(unsigned vh) { diff --git a/src/python/include/Nerve_gic_interface.h b/src/python/include/Nerve_gic_interface.h index 5e7f8ae6..ab14c318 100644 --- a/src/python/include/Nerve_gic_interface.h +++ b/src/python/include/Nerve_gic_interface.h @@ -29,7 +29,6 @@ class Nerve_gic_interface : public Cover_complex<std::vector<double>> { public: void create_simplex_tree(Simplex_tree_interface<>* simplex_tree) { create_complex(*simplex_tree); - simplex_tree->initialize_filtration(); } void set_cover_from_Euclidean_Voronoi(int m) { set_cover_from_Voronoi(Gudhi::Euclidean_distance(), m); diff --git a/src/python/include/Rips_complex_interface.h b/src/python/include/Rips_complex_interface.h index a66b0e5b..d98b0226 100644 --- a/src/python/include/Rips_complex_interface.h +++ b/src/python/include/Rips_complex_interface.h @@ -53,7 +53,6 @@ class Rips_complex_interface { rips_complex_->create_complex(*simplex_tree, dim_max); else sparse_rips_complex_->create_complex(*simplex_tree, dim_max); - simplex_tree->initialize_filtration(); } private: diff --git a/src/python/include/Simplex_tree_interface.h b/src/python/include/Simplex_tree_interface.h index 1a18aed6..5b456baa 100644 --- a/src/python/include/Simplex_tree_interface.h +++ b/src/python/include/Simplex_tree_interface.h @@ -43,16 +43,19 @@ class Simplex_tree_interface : public Simplex_tree<SimplexTreeOptions> { Extended_filtration_data efd; - bool find_simplex(const Simplex& vh) { - return (Base::find(vh) != Base::null_simplex()); + bool find_simplex(const Simplex& simplex) { + return (Base::find(simplex) != Base::null_simplex()); } - void assign_simplex_filtration(const Simplex& vh, Filtration_value filtration) { - Base::assign_filtration(Base::find(vh), filtration); + void assign_simplex_filtration(const Simplex& simplex, Filtration_value filtration) { + Base::assign_filtration(Base::find(simplex), filtration); + Base::clear_filtration(); } bool insert(const Simplex& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex_and_subfaces(simplex, filtration); + if (result.first != Base::null_simplex()) + Base::clear_filtration(); return (result.second); } @@ -86,7 +89,7 @@ class Simplex_tree_interface : public Simplex_tree<SimplexTreeOptions> { void remove_maximal_simplex(const Simplex& simplex) { Base::remove_maximal_simplex(Base::find(simplex)); - Base::initialize_filtration(); + Base::clear_filtration(); } Simplex_and_filtration get_simplex_and_filtration(Simplex_handle f_simplex) { @@ -123,7 +126,6 @@ class Simplex_tree_interface : public Simplex_tree<SimplexTreeOptions> { void compute_extended_filtration() { this->efd = this->extend_filtration(); - this->initialize_filtration(); return; } @@ -158,7 +160,6 @@ class Simplex_tree_interface : public Simplex_tree<SimplexTreeOptions> { } void create_persistence(Gudhi::Persistent_cohomology_interface<Base>* pcoh) { - Base::initialize_filtration(); pcoh = new Gudhi::Persistent_cohomology_interface<Base>(*this); } diff --git a/src/python/include/Strong_witness_complex_interface.h b/src/python/include/Strong_witness_complex_interface.h index cda5b514..e9ab0c7b 100644 --- a/src/python/include/Strong_witness_complex_interface.h +++ b/src/python/include/Strong_witness_complex_interface.h @@ -41,13 +41,11 @@ class Strong_witness_complex_interface { void create_simplex_tree(Simplex_tree_interface<>* simplex_tree, double max_alpha_square, std::size_t limit_dimension) { witness_complex_->create_complex(*simplex_tree, max_alpha_square, limit_dimension); - simplex_tree->initialize_filtration(); } void create_simplex_tree(Simplex_tree_interface<>* simplex_tree, double max_alpha_square) { witness_complex_->create_complex(*simplex_tree, max_alpha_square); - simplex_tree->initialize_filtration(); } private: diff --git a/src/python/include/Tangential_complex_interface.h b/src/python/include/Tangential_complex_interface.h index 698226cc..b1afce94 100644 --- a/src/python/include/Tangential_complex_interface.h +++ b/src/python/include/Tangential_complex_interface.h @@ -90,7 +90,6 @@ class Tangential_complex_interface { void create_simplex_tree(Simplex_tree<>* simplex_tree) { tangential_complex_->create_complex<Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_full_featured>>(*simplex_tree); - simplex_tree->initialize_filtration(); } void set_max_squared_edge_length(double max_squared_edge_length) { diff --git a/src/python/include/Witness_complex_interface.h b/src/python/include/Witness_complex_interface.h index 45e14253..76947e53 100644 --- a/src/python/include/Witness_complex_interface.h +++ b/src/python/include/Witness_complex_interface.h @@ -41,13 +41,11 @@ class Witness_complex_interface { void create_simplex_tree(Simplex_tree_interface<>* simplex_tree, double max_alpha_square, std::size_t limit_dimension) { witness_complex_->create_complex(*simplex_tree, max_alpha_square, limit_dimension); - simplex_tree->initialize_filtration(); } void create_simplex_tree(Simplex_tree_interface<>* simplex_tree, double max_alpha_square) { witness_complex_->create_complex(*simplex_tree, max_alpha_square); - simplex_tree->initialize_filtration(); } private: diff --git a/src/python/test/test_simplex_tree.py b/src/python/test/test_simplex_tree.py index 70b26e97..2137d822 100755 --- a/src/python/test/test_simplex_tree.py +++ b/src/python/test/test_simplex_tree.py @@ -46,7 +46,6 @@ def test_insertion(): assert st.find([2, 3]) == False # filtration test - st.initialize_filtration() assert st.filtration([0, 1, 2]) == 4.0 assert st.filtration([0, 2]) == 4.0 assert st.filtration([1, 2]) == 4.0 @@ -93,7 +92,6 @@ def test_insertion(): assert st.find([1]) == True assert st.find([2]) == True - st.initialize_filtration() assert st.persistence(persistence_dim_max=True) == [ (1, (4.0, float("inf"))), (0, (0.0, float("inf"))), @@ -151,7 +149,6 @@ def test_expansion(): st.expansion(3) assert st.num_vertices() == 7 assert st.num_simplices() == 22 - st.initialize_filtration() assert list(st.get_filtration()) == [ ([2], 0.1), diff --git a/src/python/test/test_wasserstein_distance.py b/src/python/test/test_wasserstein_distance.py index 7e0d0f5f..1a4acc1d 100755 --- a/src/python/test/test_wasserstein_distance.py +++ b/src/python/test/test_wasserstein_distance.py @@ -8,6 +8,7 @@ - YYYY/MM Author: Description of the modification """ +from gudhi.wasserstein.wasserstein import _proj_on_diag from gudhi.wasserstein import wasserstein_distance as pot from gudhi.hera import wasserstein_distance as hera import numpy as np @@ -17,6 +18,12 @@ __author__ = "Theo Lacombe" __copyright__ = "Copyright (C) 2019 Inria" __license__ = "MIT" +def test_proj_on_diag(): + dgm = np.array([[1., 1.], [1., 2.], [3., 5.]]) + assert np.array_equal(_proj_on_diag(dgm), [[1., 1.], [1.5, 1.5], [4., 4.]]) + empty = np.empty((0, 2)) + assert np.array_equal(_proj_on_diag(empty), empty) + def _basic_wasserstein(wasserstein_distance, delta, test_infinity=True, test_matching=True): diag1 = np.array([[2.7, 3.7], [9.6, 14.0], [34.2, 34.974]]) diag2 = np.array([[2.8, 4.45], [9.5, 14.1]]) |