#include #include #include #include // standard stuff #include #include #define BOOST_TEST_DYN_LINK #define BOOST_TEST_MODULE "cubical_complex" #include using namespace std; using namespace Gudhi; using namespace Gudhi::Cubical_complex; using namespace Gudhi::persistent_cohomology; BOOST_AUTO_TEST_CASE(check_dimension) { std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); BOOST_CHECK(increasing.dimension() == 2); } BOOST_AUTO_TEST_CASE(topDimensionalCellsIterator_test) { std::vector< double > expectedFiltrationValues1; expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(100); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); expectedFiltrationValues1.push_back(0); std::vector< double > expectedFiltrationValues2; expectedFiltrationValues2.push_back(1); expectedFiltrationValues2.push_back(2); expectedFiltrationValues2.push_back(3); expectedFiltrationValues2.push_back(4); expectedFiltrationValues2.push_back(5); expectedFiltrationValues2.push_back(6); expectedFiltrationValues2.push_back(7); expectedFiltrationValues2.push_back(8); expectedFiltrationValues2.push_back(9); std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector< double > oneDimensionalCycle; oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(100); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); oneDimensionalCycle.push_back(0); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); Bitmap_cubical_complex hole(dimensions, oneDimensionalCycle); int i = 0; for (Bitmap_cubical_complex::Top_dimensional_cells_iterator it = increasing.top_dimensional_cells_begin(); it != increasing.top_dimensional_cells_end(); ++it) { BOOST_CHECK(*it == expectedFiltrationValues2[i]); ++i; } i = 0; for (Bitmap_cubical_complex::Top_dimensional_cells_iterator it = hole.top_dimensional_cells_begin(); it != hole.top_dimensional_cells_end(); ++it) { BOOST_CHECK(*it == expectedFiltrationValues1[i]); ++i; } } BOOST_AUTO_TEST_CASE(compute_boundary_test_1) { std::vector boundary0; std::vector boundary1; boundary1.push_back(0); boundary1.push_back(2); std::vector boundary2; std::vector boundary3; boundary3.push_back(2); boundary3.push_back(4); std::vector boundary4; std::vector boundary5; boundary5.push_back(4); boundary5.push_back(6); std::vector boundary6; std::vector boundary7; boundary7.push_back(0); boundary7.push_back(14); std::vector boundary8; boundary8.push_back(1); boundary8.push_back(15); boundary8.push_back(7); boundary8.push_back(9); std::vector boundary9; boundary9.push_back(2); boundary9.push_back(16); std::vector boundary10; boundary10.push_back(3); boundary10.push_back(17); boundary10.push_back(9); boundary10.push_back(11); std::vector boundary11; boundary11.push_back(4); boundary11.push_back(18); std::vector boundary12; boundary12.push_back(5); boundary12.push_back(19); boundary12.push_back(11); boundary12.push_back(13); std::vector boundary13; boundary13.push_back(6); boundary13.push_back(20); std::vector boundary14; std::vector boundary15; boundary15.push_back(14); boundary15.push_back(16); std::vector boundary16; std::vector boundary17; boundary17.push_back(16); boundary17.push_back(18); std::vector boundary18; std::vector boundary19; boundary19.push_back(18); boundary19.push_back(20); std::vector boundary20; std::vector boundary21; boundary21.push_back(14); boundary21.push_back(28); std::vector boundary22; boundary22.push_back(15); boundary22.push_back(29); boundary22.push_back(21); boundary22.push_back(23); std::vector boundary23; boundary23.push_back(16); boundary23.push_back(30); std::vector boundary24; boundary24.push_back(17); boundary24.push_back(31); boundary24.push_back(23); boundary24.push_back(25); std::vector boundary25; boundary25.push_back(18); boundary25.push_back(32); std::vector boundary26; boundary26.push_back(19); boundary26.push_back(33); boundary26.push_back(25); boundary26.push_back(27); std::vector boundary27; boundary27.push_back(20); boundary27.push_back(34); std::vector boundary28; std::vector boundary29; boundary29.push_back(28); boundary29.push_back(30); std::vector boundary30; std::vector boundary31; boundary31.push_back(30); boundary31.push_back(32); std::vector boundary32; std::vector boundary33; boundary33.push_back(32); boundary33.push_back(34); std::vector boundary34; std::vector boundary35; boundary35.push_back(28); boundary35.push_back(42); std::vector boundary36; boundary36.push_back(29); boundary36.push_back(43); boundary36.push_back(35); boundary36.push_back(37); std::vector boundary37; boundary37.push_back(30); boundary37.push_back(44); std::vector boundary38; boundary38.push_back(31); boundary38.push_back(45); boundary38.push_back(37); boundary38.push_back(39); std::vector boundary39; boundary39.push_back(32); boundary39.push_back(46); std::vector boundary40; boundary40.push_back(33); boundary40.push_back(47); boundary40.push_back(39); boundary40.push_back(41); std::vector boundary41; boundary41.push_back(34); boundary41.push_back(48); std::vector boundary42; std::vector boundary43; boundary43.push_back(42); boundary43.push_back(44); std::vector boundary44; std::vector boundary45; boundary45.push_back(44); boundary45.push_back(46); std::vector boundary46; std::vector boundary47; boundary47.push_back(46); boundary47.push_back(48); std::vector boundary48; std::vector< std::vector > boundaries; boundaries.push_back(boundary0); boundaries.push_back(boundary1); boundaries.push_back(boundary2); boundaries.push_back(boundary3); boundaries.push_back(boundary4); boundaries.push_back(boundary5); boundaries.push_back(boundary6); boundaries.push_back(boundary7); boundaries.push_back(boundary8); boundaries.push_back(boundary9); boundaries.push_back(boundary10); boundaries.push_back(boundary11); boundaries.push_back(boundary12); boundaries.push_back(boundary13); boundaries.push_back(boundary14); boundaries.push_back(boundary15); boundaries.push_back(boundary16); boundaries.push_back(boundary17); boundaries.push_back(boundary18); boundaries.push_back(boundary19); boundaries.push_back(boundary20); boundaries.push_back(boundary21); boundaries.push_back(boundary22); boundaries.push_back(boundary23); boundaries.push_back(boundary24); boundaries.push_back(boundary25); boundaries.push_back(boundary26); boundaries.push_back(boundary27); boundaries.push_back(boundary28); boundaries.push_back(boundary29); boundaries.push_back(boundary30); boundaries.push_back(boundary31); boundaries.push_back(boundary32); boundaries.push_back(boundary33); boundaries.push_back(boundary34); boundaries.push_back(boundary35); boundaries.push_back(boundary36); boundaries.push_back(boundary37); boundaries.push_back(boundary38); boundaries.push_back(boundary39); boundaries.push_back(boundary40); boundaries.push_back(boundary41); boundaries.push_back(boundary42); boundaries.push_back(boundary43); boundaries.push_back(boundary44); boundaries.push_back(boundary45); boundaries.push_back(boundary46); boundaries.push_back(boundary47); boundaries.push_back(boundary48); std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); for (size_t i = 0; i != increasing.size_of_bitmap(); ++i) { std::vector< size_t > bd = increasing.get_boundary_of_a_cell(i); for (size_t j = 0; j != bd.size(); ++j) { BOOST_CHECK(boundaries[i][j] == bd[j]); } } } BOOST_AUTO_TEST_CASE(compute_boundary_test_2) { std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); std::vector coboundaryElements; coboundaryElements.push_back(7); coboundaryElements.push_back(1); coboundaryElements.push_back(8); coboundaryElements.push_back(9); coboundaryElements.push_back(1); coboundaryElements.push_back(3); coboundaryElements.push_back(10); coboundaryElements.push_back(11); coboundaryElements.push_back(3); coboundaryElements.push_back(5); coboundaryElements.push_back(12); coboundaryElements.push_back(13); coboundaryElements.push_back(5); coboundaryElements.push_back(8); coboundaryElements.push_back(8); coboundaryElements.push_back(10); coboundaryElements.push_back(10); coboundaryElements.push_back(12); coboundaryElements.push_back(12); coboundaryElements.push_back(7); coboundaryElements.push_back(21); coboundaryElements.push_back(15); coboundaryElements.push_back(8); coboundaryElements.push_back(22); coboundaryElements.push_back(9); coboundaryElements.push_back(23); coboundaryElements.push_back(15); coboundaryElements.push_back(17); coboundaryElements.push_back(10); coboundaryElements.push_back(24); coboundaryElements.push_back(11); coboundaryElements.push_back(25); coboundaryElements.push_back(17); coboundaryElements.push_back(19); coboundaryElements.push_back(12); coboundaryElements.push_back(26); coboundaryElements.push_back(13); coboundaryElements.push_back(27); coboundaryElements.push_back(19); coboundaryElements.push_back(22); coboundaryElements.push_back(22); coboundaryElements.push_back(24); coboundaryElements.push_back(24); coboundaryElements.push_back(26); coboundaryElements.push_back(26); coboundaryElements.push_back(21); coboundaryElements.push_back(35); coboundaryElements.push_back(29); coboundaryElements.push_back(22); coboundaryElements.push_back(36); coboundaryElements.push_back(23); coboundaryElements.push_back(37); coboundaryElements.push_back(29); coboundaryElements.push_back(31); coboundaryElements.push_back(24); coboundaryElements.push_back(38); coboundaryElements.push_back(25); coboundaryElements.push_back(39); coboundaryElements.push_back(31); coboundaryElements.push_back(33); coboundaryElements.push_back(26); coboundaryElements.push_back(40); coboundaryElements.push_back(27); coboundaryElements.push_back(41); coboundaryElements.push_back(33); coboundaryElements.push_back(36); coboundaryElements.push_back(36); coboundaryElements.push_back(38); coboundaryElements.push_back(38); coboundaryElements.push_back(40); coboundaryElements.push_back(40); coboundaryElements.push_back(35); coboundaryElements.push_back(43); coboundaryElements.push_back(36); coboundaryElements.push_back(37); coboundaryElements.push_back(43); coboundaryElements.push_back(45); coboundaryElements.push_back(38); coboundaryElements.push_back(39); coboundaryElements.push_back(45); coboundaryElements.push_back(47); coboundaryElements.push_back(40); coboundaryElements.push_back(41); coboundaryElements.push_back(47); size_t number = 0; for (size_t i = 0; i != increasing.size_of_bitmap(); ++i) { std::vector< size_t > bd = increasing.get_coboundary_of_a_cell(i); for (size_t j = 0; j != bd.size(); ++j) { BOOST_CHECK(coboundaryElements[number] == bd[j]); ++number; } } } BOOST_AUTO_TEST_CASE(compute_boundary_test_3) { std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); std::vector dim; dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(2); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); dim.push_back(1); dim.push_back(0); for (size_t i = 0; i != increasing.size_of_bitmap(); ++i) { BOOST_CHECK(increasing.get_dimension_of_a_cell(i) == dim[i]); } } BOOST_AUTO_TEST_CASE(Filtration_simplex_iterator_test) { std::vector< double > increasingFiltrationOfTopDimensionalCells; increasingFiltrationOfTopDimensionalCells.push_back(1); increasingFiltrationOfTopDimensionalCells.push_back(2); increasingFiltrationOfTopDimensionalCells.push_back(3); increasingFiltrationOfTopDimensionalCells.push_back(4); increasingFiltrationOfTopDimensionalCells.push_back(5); increasingFiltrationOfTopDimensionalCells.push_back(6); increasingFiltrationOfTopDimensionalCells.push_back(7); increasingFiltrationOfTopDimensionalCells.push_back(8); increasingFiltrationOfTopDimensionalCells.push_back(9); std::vector dimensions; dimensions.push_back(3); dimensions.push_back(3); Bitmap_cubical_complex increasing(dimensions, increasingFiltrationOfTopDimensionalCells); std::vector< unsigned > dim; dim.push_back(0); dim.push_back(0); dim.push_back(0); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(2); dim.push_back(0); dim.push_back(1); dim.push_back(1); dim.push_back(2); std::vector fil; fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(1); fil.push_back(2); fil.push_back(2); fil.push_back(2); fil.push_back(2); fil.push_back(2); fil.push_back(2); fil.push_back(3); fil.push_back(3); fil.push_back(3); fil.push_back(3); fil.push_back(3); fil.push_back(3); fil.push_back(4); fil.push_back(4); fil.push_back(4); fil.push_back(4); fil.push_back(4); fil.push_back(4); fil.push_back(5); fil.push_back(5); fil.push_back(5); fil.push_back(5); fil.push_back(6); fil.push_back(6); fil.push_back(6); fil.push_back(6); fil.push_back(7); fil.push_back(7); fil.push_back(7); fil.push_back(7); fil.push_back(7); fil.push_back(7); fil.push_back(8); fil.push_back(8); fil.push_back(8); fil.push_back(8); fil.push_back(9); fil.push_back(9); fil.push_back(9); fil.push_back(9); Bitmap_cubical_complex::Filtration_simplex_range range = increasing.filtration_simplex_range(); size_t position = 0; for (Bitmap_cubical_complex::Filtration_simplex_iterator it = range.begin(); it != range.end(); ++it) { BOOST_CHECK(increasing.dimension(*it) == dim[position]); BOOST_CHECK(increasing.filtration(*it) == fil[position]); ++position; } }