diff options
author | glisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-03-17 09:24:13 +0000 |
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committer | glisse <glisse@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2016-03-17 09:24:13 +0000 |
commit | f20d49cc68a0dd352605164a4f41f3b1acc2876b (patch) | |
tree | 20c05bbf05dc4da9f65d3bdf75012f3aa6f92df3 /src/Persistent_cohomology | |
parent | d133f17dede836cee1dfff47d2e00532573b9ead (diff) | |
parent | 258ea460177a77c5d2cb45d623400cef2f7e0833 (diff) |
Merge from trunk.
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/bitmap@1050 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: 1a32dd3528c771a78d5749ac2c04503a3d979fe4
Diffstat (limited to 'src/Persistent_cohomology')
13 files changed, 229 insertions, 34 deletions
diff --git a/src/Persistent_cohomology/concept/FilteredComplex.h b/src/Persistent_cohomology/concept/FilteredComplex.h index 1834903b..e124d524 100644 --- a/src/Persistent_cohomology/concept/FilteredComplex.h +++ b/src/Persistent_cohomology/concept/FilteredComplex.h @@ -65,9 +65,9 @@ struct FilteredComplex Simplex_key key ( Simplex_handle sh ); /** \brief Returns the simplex associated to a key. * - * If key is different from null_key(), there must be a unique - * simplex having this key. */ - Simplex_handle simplex ( Simplex_key key ); + * If key is different from null_key(), returns the simplex that + * has index idx in the filtration. */ + Simplex_handle simplex ( Simplex_key idx ); /** \brief Assign a key to a simplex. */ void assign_key(Simplex_handle sh, Simplex_key key); diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt index 50d10025..95506631 100644 --- a/src/Persistent_cohomology/example/CMakeLists.txt +++ b/src/Persistent_cohomology/example/CMakeLists.txt @@ -16,7 +16,12 @@ add_test(persistence_from_simple_simplex_tree ${CMAKE_CURRENT_BINARY_DIR}/persis add_executable(rips_persistence rips_persistence.cpp) target_link_libraries(rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) -add_test(rips_persistence_3 ${CMAKE_CURRENT_BINARY_DIR}/rips_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.25 -d 3 -p 3 -m 100) +add_test(rips_persistence_3 ${CMAKE_CURRENT_BINARY_DIR}/rips_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.2 -d 3 -p 3 -m 100) + +add_executable(parallel_rips_persistence parallel_rips_persistence.cpp) +target_link_libraries(parallel_rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + +add_test(parallel_rips_persistence_3 ${CMAKE_CURRENT_BINARY_DIR}/parallel_rips_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.txt -r 0.3 -d 3 -p 3 -m 100) add_executable(persistence_from_file persistence_from_file.cpp) target_link_libraries(persistence_from_file ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) @@ -29,7 +34,7 @@ if(GMPXX_FOUND AND GMP_FOUND) add_executable(rips_multifield_persistence rips_multifield_persistence.cpp ) target_link_libraries(rips_multifield_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) - add_test(rips_multifield_persistence_2_71 ${CMAKE_CURRENT_BINARY_DIR}/rips_multifield_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 71 -m 100) + add_test(rips_multifield_persistence_2_71 ${CMAKE_CURRENT_BINARY_DIR}/rips_multifield_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.2 -d 3 -p 2 -q 71 -m 100) add_executable ( performance_rips_persistence performance_rips_persistence.cpp ) target_link_libraries(performance_rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) diff --git a/src/Persistent_cohomology/example/alpha_shapes_persistence.cpp b/src/Persistent_cohomology/example/alpha_shapes_persistence.cpp index 6d5eebcf..92c0b065 100644 --- a/src/Persistent_cohomology/example/alpha_shapes_persistence.cpp +++ b/src/Persistent_cohomology/example/alpha_shapes_persistence.cpp @@ -66,7 +66,8 @@ typedef Alpha_shape_3::Edge Edge_3; typedef std::list<Alpha_shape_3::Vertex_handle> Vertex_list; // gudhi type definition -typedef Simplex_tree<>::Vertex_handle Simplex_tree_vertex; +typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; +typedef ST::Vertex_handle Simplex_tree_vertex; typedef std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex > Alpha_shape_simplex_tree_map; typedef std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex> Alpha_shape_simplex_tree_pair; typedef std::vector< Simplex_tree_vertex > Simplex_tree_vector_vertex; @@ -184,7 +185,7 @@ int main(int argc, char * const argv[]) { // Loop on objects vector Vertex_list vertex_list; - Simplex_tree<> simplex_tree; + ST simplex_tree; Alpha_shape_simplex_tree_map map_cgal_simplex_tree; std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); int dim_max = 0; @@ -281,7 +282,7 @@ int main(int argc, char * const argv[]) { std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; // Compute the persistence diagram of the complex - Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree); + Persistent_cohomology< ST, Field_Zp > pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(coeff_field_characteristic); diff --git a/src/Persistent_cohomology/example/parallel_rips_persistence.cpp b/src/Persistent_cohomology/example/parallel_rips_persistence.cpp new file mode 100644 index 00000000..4c6656f5 --- /dev/null +++ b/src/Persistent_cohomology/example/parallel_rips_persistence.cpp @@ -0,0 +1,180 @@ +/* This file is part of the Gudhi Library. The Gudhi library + * (Geometric Understanding in Higher Dimensions) is a generic C++ + * library for computational topology. + * + * Author(s): Clément Maria, Marc Glisse + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France), + * 2015 INRIA Saclay Île de France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Hasse_complex.h> + +#include <boost/program_options.hpp> + +#ifdef GUDHI_USE_TBB +#include <tbb/task_scheduler_init.h> +#endif + +#include <string> +#include <vector> + +//////////////////////////////////////////////////////////////// +// // +// WARNING: persistence computation itself is not parallel, // +// and this uses more memory than rips_persistence. // +// // +//////////////////////////////////////////////////////////////// + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string filepoints; + std::string filediag; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, filepoints, filediag, threshold, dim_max, p, min_persistence); + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + + // Construct the Rips complex in a Simplex Tree + Simplex_tree<>& st = *new Simplex_tree<>; + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << st.dimension() << " \n"; + +#ifdef GUDHI_USE_TBB + // Unnecessary, but clarifies which operations are parallel. + tbb::task_scheduler_init ts; +#endif + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + int count = 0; + for (auto sh : st.filtration_simplex_range()) + st.assign_key(sh, count++); + + // Convert to a more convenient representation. + Hasse_complex<> hcpx(st); + +#ifdef GUDHI_USE_TBB + ts.terminate(); +#endif + + // Free some space. + delete &st; + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology< Hasse_complex<>, Field_Zp > pcoh(hcpx); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } +} + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value<std::string>(&filepoints), + "Name of file containing a point set. Format is one point per line: X1 ... Xd "); + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("output-file,o", po::value<std::string>(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-edge-length,r", po::value<Filtration_value>(&threshold)->default_value(0), + "Maximal length of an edge for the Rips complex construction.") + ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), + "Maximal dimension of the Rips complex we want to compute.") + ("field-charac,p", po::value<int>(&p)->default_value(11), + "Characteristic p of the coefficient field Z/pZ for computing homology.") + ("min-persistence,m", po::value<Filtration_value>(&min_persistence), + "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); + + po::positional_options_description pos; + pos.add("input-file", 1); + + po::options_description all; + all.add(visible).add(hidden); + + po::variables_map vm; + po::store(po::command_line_parser(argc, argv). + options(all).positional(pos).run(), vm); + po::notify(vm); + + if (vm.count("help") || !vm.count("input-file")) { + std::cout << std::endl; + std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; + std::cout << "of a Rips complex defined on a set of input points.\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p dim b d \n"; + std::cout << "where dim is the dimension of the homological feature,\n"; + std::cout << "b and d are respectively the birth and death of the feature and \n"; + std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; + + std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; + std::cout << visible << std::endl; + std::abort(); + } +} diff --git a/src/Persistent_cohomology/example/performance_rips_persistence.cpp b/src/Persistent_cohomology/example/performance_rips_persistence.cpp index fc48d6b1..b4d282ac 100644 --- a/src/Persistent_cohomology/example/performance_rips_persistence.cpp +++ b/src/Persistent_cohomology/example/performance_rips_persistence.cpp @@ -86,7 +86,7 @@ int main(int argc, char * argv[]) { std::cout << "Compute Rips graph in " << elapsed_sec << " ms.\n"; // Construct the Rips complex in a Simplex Tree - Simplex_tree<> st; + Simplex_tree<Simplex_tree_options_fast_persistence> st; start = std::chrono::system_clock::now(); // insert the proximity graph in the simplex tree diff --git a/src/Persistent_cohomology/example/persistence_from_file.cpp b/src/Persistent_cohomology/example/persistence_from_file.cpp index 8eb8d0f3..67235467 100644 --- a/src/Persistent_cohomology/example/persistence_from_file.cpp +++ b/src/Persistent_cohomology/example/persistence_from_file.cpp @@ -54,7 +54,7 @@ int main(int argc, char * argv[]) { << std::endl; std::cout << " - p=" << p << " - min_persistence=" << min_persistence << std::endl; - // Construct the Rips complex in a Simplex Tree + // Read the list of simplices from a file. Simplex_tree<> simplex_tree; std::ifstream simplex_tree_stream(simplex_tree_file); diff --git a/src/Persistent_cohomology/example/plain_homology.cpp b/src/Persistent_cohomology/example/plain_homology.cpp index e293e013..0a692717 100644 --- a/src/Persistent_cohomology/example/plain_homology.cpp +++ b/src/Persistent_cohomology/example/plain_homology.cpp @@ -27,6 +27,10 @@ using namespace Gudhi; +/* We could perfectly well use the default Simplex_tree<> (which uses + * Simplex_tree_options_full_featured), the following simply demonstrates + * how to save on storage by not storing a filtration value. */ + struct MyOptions : Simplex_tree_options_full_featured { // Implicitly use 0 as filtration value for all simplices static const bool store_filtration = false; diff --git a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp index 5277bf7a..c5cd775d 100644 --- a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp +++ b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp @@ -68,7 +68,8 @@ int main(int argc, char * argv[]) { , euclidean_distance<Point_t>); // Construct the Rips complex in a Simplex Tree - Simplex_tree<> st; + typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; + ST st; // insert the proximity graph in the simplex tree st.insert_graph(prox_graph); // expand the graph until dimension dim_max @@ -78,7 +79,7 @@ int main(int argc, char * argv[]) { st.initialize_filtration(); // Compute the persistence diagram of the complex - Persistent_cohomology< Simplex_tree<>, Multi_field > pcoh(st); + Persistent_cohomology<ST, Multi_field > pcoh(st); // initializes the coefficient field for homology pcoh.init_coefficients(min_p, max_p); // compute persistent homology, disgarding persistent features of life shorter than min_persistence diff --git a/src/Persistent_cohomology/example/rips_persistence.cpp b/src/Persistent_cohomology/example/rips_persistence.cpp index 9b1ef42f..2d926a0d 100644 --- a/src/Persistent_cohomology/example/rips_persistence.cpp +++ b/src/Persistent_cohomology/example/rips_persistence.cpp @@ -65,7 +65,8 @@ int main(int argc, char * argv[]) { , euclidean_distance<Point_t>); // Construct the Rips complex in a Simplex Tree - Simplex_tree<> st; + typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; + ST st; // insert the proximity graph in the simplex tree st.insert_graph(prox_graph); // expand the graph until dimension dim_max @@ -78,7 +79,7 @@ int main(int argc, char * argv[]) { st.initialize_filtration(); // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(st); + persistent_cohomology::Persistent_cohomology<ST, Field_Zp > pcoh(st); // initializes the coefficient field for homology pcoh.init_coefficients(p); diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h index d096792f..643b810c 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h @@ -27,7 +27,6 @@ #include <gudhi/Persistent_cohomology/Field_Zp.h> #include <gudhi/Simple_object_pool.h> -#include <boost/tuple/tuple.hpp> #include <boost/intrusive/set.hpp> #include <boost/pending/disjoint_sets.hpp> #include <boost/intrusive/list.hpp> @@ -223,7 +222,7 @@ class Persistent_cohomology { // Sparse column type for the annotation of the boundary of an element. typedef std::vector<std::pair<Simplex_key, Arith_element> > A_ds_type; // Persistent interval type. The Arith_element field is used for the multi-field framework. - typedef boost::tuple<Simplex_handle, Simplex_handle, Arith_element> Persistent_interval; + typedef std::tuple<Simplex_handle, Simplex_handle, Arith_element> Persistent_interval; /** \brief Initializes the Persistent_cohomology class. * @@ -431,9 +430,12 @@ class Persistent_cohomology { std::map<Simplex_key, Arith_element> & map_a_ds, Simplex_handle sigma, int dim_sigma) { // traverses the boundary of sigma, keeps track of the annotation vectors, - // with multiplicity, in a map. - std::map<Column *, int> annotations_in_boundary; - std::pair<typename std::map<Column *, int>::iterator, bool> result_insert_bound; + // with multiplicity. We used to sum the coefficients directly in + // annotations_in_boundary by using a map, we now do it later. + typedef std::pair<Column *, int> annotation_t; + // Danger: not thread-safe! + static std::vector<annotation_t> annotations_in_boundary; + annotations_in_boundary.clear(); int sign = 1 - 2 * (dim_sigma % 2); // \in {-1,1} provides the sign in the // alternate sum in the boundary. Simplex_key key; @@ -445,22 +447,29 @@ class Persistent_cohomology { // Find its annotation vector curr_col = ds_repr_[dsets_.find_set(key)]; if (curr_col != NULL) { // and insert it in annotations_in_boundary with multyiplicative factor "sign". - result_insert_bound = annotations_in_boundary.insert(std::pair<Column *, int>(curr_col, sign)); - if (!(result_insert_bound.second)) { - result_insert_bound.first->second += sign; - } + annotations_in_boundary.emplace_back(curr_col, sign); } } sign = -sign; } + // Place identical annotations consecutively so we can easily sum their multiplicities. + std::sort(annotations_in_boundary.begin(), annotations_in_boundary.end(), + [](annotation_t const& a, annotation_t const& b) { return a.first < b.first; }); + // Sum the annotations with multiplicity, using a map<key,coeff> // to represent a sparse vector. std::pair<typename std::map<Simplex_key, Arith_element>::iterator, bool> result_insert_a_ds; - for (auto ann_ref : annotations_in_boundary) { - if (ann_ref.second != coeff_field_.additive_identity()) { // For all columns in the boundary, - for (auto cell_ref : ann_ref.first->col_) { // insert every cell in map_a_ds with multiplicity - Arith_element w_y = coeff_field_.times(cell_ref.coefficient_, ann_ref.second); // coefficient * multiplicity + for (auto ann_it = annotations_in_boundary.begin(); ann_it != annotations_in_boundary.end(); /**/) { + Column* col = ann_it->first; + int mult = ann_it->second; + while (++ann_it != annotations_in_boundary.end() && ann_it->first == col) { + mult += ann_it->second; + } + // The following test is just a heuristic, it is not required, and it is fine that is misses p == 0. + if (mult != coeff_field_.additive_identity()) { // For all columns in the boundary, + for (auto cell_ref : col->col_) { // insert every cell in map_a_ds with multiplicity + Arith_element w_y = coeff_field_.times(cell_ref.coefficient_, mult); // coefficient * multiplicity if (w_y != coeff_field_.additive_identity()) { // if != 0 result_insert_a_ds = map_a_ds.insert(std::pair<Simplex_key, Arith_element>(cell_ref.key_, w_y)); diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h index 0591fc95..38bc08d1 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h @@ -81,8 +81,7 @@ class Multi_field { // set m to primorial(bound_prime) prod_characteristics_ = 1; for (auto p : primes_) { - mpz_mul_ui(prod_characteristics_.get_mpz_t(), - prod_characteristics_.get_mpz_t(), p); + prod_characteristics_ *= p; } // Uvect_ diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h index 612658e6..5deb2d88 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h @@ -23,7 +23,6 @@ #ifndef PERSISTENT_COHOMOLOGY_PERSISTENT_COHOMOLOGY_COLUMN_H_ #define PERSISTENT_COHOMOLOGY_PERSISTENT_COHOMOLOGY_COLUMN_H_ -#include <boost/tuple/tuple.hpp> #include <boost/intrusive/set.hpp> #include <boost/intrusive/list.hpp> diff --git a/src/Persistent_cohomology/test/CMakeLists.txt b/src/Persistent_cohomology/test/CMakeLists.txt index ed63a6ac..d16be5be 100644 --- a/src/Persistent_cohomology/test/CMakeLists.txt +++ b/src/Persistent_cohomology/test/CMakeLists.txt @@ -4,14 +4,10 @@ project(GUDHIPersistentCohomologyUT) if (GCOVR_PATH) # for gcovr to make coverage reports - Corbera Jenkins plugin set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -fprofile-arcs -ftest-coverage") - set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} -fprofile-arcs -ftest-coverage") - set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE} -fprofile-arcs -ftest-coverage") endif() if (GPROF_PATH) # for gprof to make coverage reports - Jenkins set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -pg") - set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} -pg") - set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE} -pg") endif() add_executable ( PersistentCohomologyUT persistent_cohomology_unit_test.cpp ) |