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-rw-r--r--src/Alpha_complex/doc/Intro_alpha_complex.h65
-rw-r--r--src/Alpha_complex/example/CMakeLists.txt17
-rw-r--r--src/Alpha_complex/example/Weighted_alpha_complex_3d_from_points.cpp16
-rw-r--r--src/Alpha_complex/example/Weighted_alpha_complex_from_points.cpp52
-rw-r--r--src/Alpha_complex/example/weightedalpha3dfrompoints_for_doc.txt4
-rw-r--r--src/Alpha_complex/include/gudhi/Alpha_complex.h227
-rw-r--r--src/Alpha_complex/include/gudhi/Alpha_complex/Alpha_kernel_d.h141
-rw-r--r--src/Alpha_complex/include/gudhi/Alpha_complex_3d.h75
-rw-r--r--src/Alpha_complex/test/Alpha_complex_dim3_unit_test.cpp117
-rw-r--r--src/Alpha_complex/test/Alpha_complex_unit_test.cpp94
-rw-r--r--src/Alpha_complex/test/Alpha_kernel_d_unit_test.cpp109
-rw-r--r--src/Alpha_complex/test/CMakeLists.txt41
-rw-r--r--src/Alpha_complex/test/Weighted_alpha_complex_non_visible_points_unit_test.cpp60
-rw-r--r--src/Alpha_complex/test/Weighted_alpha_complex_unit_test.cpp127
-rw-r--r--src/Alpha_complex/test/Zero_weighted_alpha_complex_unit_test.cpp77
-rw-r--r--src/Alpha_complex/utilities/CMakeLists.txt134
-rw-r--r--src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp2
-rw-r--r--src/Alpha_complex/utilities/alpha_complex_persistence.cpp104
-rw-r--r--src/Alpha_complex/utilities/alphacomplex.md9
19 files changed, 1134 insertions, 337 deletions
diff --git a/src/Alpha_complex/doc/Intro_alpha_complex.h b/src/Alpha_complex/doc/Intro_alpha_complex.h
index 60da7169..41e5e16d 100644
--- a/src/Alpha_complex/doc/Intro_alpha_complex.h
+++ b/src/Alpha_complex/doc/Intro_alpha_complex.h
@@ -22,6 +22,18 @@ namespace alpha_complex {
*
* @{
*
+<div class="toc">
+Table of Contents
+<ul>
+<li class="level1"><a href="#definition">Definition</a></li>
+<li class="level1"><a href="#pointsexample">Example from points</a></li>
+<li class="level1"><a href="#createcomplexalgorithm">Create complex algorithm</a></li>
+<li class="level1"><a href="#weightedversion">Weighted specific version</a></li>
+<li class="level1"><a href="#offexample">Example from OFF file</a></li>
+<li class="level1"><a href="#weighted3dexample">3d specific version</a></li>
+</ul>
+</div>
+
* \section definition Definition
*
* Alpha_complex is a <a target="_blank" href="https://en.wikipedia.org/wiki/Simplicial_complex">simplicial complex</a>
@@ -62,7 +74,7 @@ namespace alpha_complex {
* [10^12,10^12+10^6]. Using `CGAL::Epick_d` makes the computations slightly faster, and the combinatorics are still
* exact, but the computation of filtration values can exceptionally be arbitrarily bad. In all cases, we still
* guarantee that the output is a valid filtration (faces have a filtration value no larger than their cofaces).
- * - For performances reasons, it is advised to use `Alpha_complex` with \ref cgal &ge; 5.0.0.
+ * - For performances reasons, it is advised to use \ref eigen &ge; 3.3.5 and \ref cgal &ge; 5.2.0.
*
* \section pointsexample Example from points
*
@@ -71,7 +83,7 @@ namespace alpha_complex {
*
* Then, it is asked to display information about the simplicial complex.
*
- * \include Alpha_complex/Alpha_complex_from_points.cpp
+ * \include Alpha_complex_from_points.cpp
*
* When launching:
*
@@ -80,7 +92,7 @@ namespace alpha_complex {
*
* the program output is:
*
- * \include Alpha_complex/alphaoffreader_for_doc_60.txt
+ * \include alphaoffreader_for_doc_60.txt
*
* \section createcomplexalgorithm Create complex algorithm
*
@@ -95,6 +107,7 @@ namespace alpha_complex {
* \subsection filtrationcomputation Filtration value computation algorithm
* <br>
* \f$
+ * \begin{array}{l}
* \textbf{for } \text{i : dimension } \rightarrow 0 \textbf{ do}\\
* \quad \textbf{for all } \sigma \text{ of dimension i}\\
* \quad\quad \textbf{if } \text{filtration(} \sigma ) \text{ is NaN} \textbf{ then}\\
@@ -115,6 +128,7 @@ namespace alpha_complex {
* \textbf{end for}\\
* \text{make_filtration_non_decreasing()}\\
* \text{prune_above_filtration()}\\
+ * \end{array}
* \f$
*
* \subsubsection dimension2 Dimension 2
@@ -140,12 +154,38 @@ namespace alpha_complex {
* not quite define a proper filtration (i.e. non-decreasing with respect to inclusion).
* We fix that up by calling `SimplicialComplexForAlpha::make_filtration_non_decreasing()`.
*
+ * \note This is not the case in `exact` version, this is the reason why it is not called in this case.
+ *
* \subsubsection pruneabove Prune above given filtration value
*
* The simplex tree is pruned from the given maximum \f$ \alpha^2 \f$ value (cf.
* `SimplicialComplexForAlpha::prune_above_filtration()`).
* In the following example, the value is given by the user as argument of the program.
*
+ * \section weightedversion Weighted specific version
+ * <b>Requires:</b> \ref eigen &ge; 3.1.0 and \ref cgal &ge; 5.1.0.
+ *
+ * A weighted version for Alpha complex is available (cf. Alpha_complex). It is like a usual Alpha complex, but based
+ * on a <a href="https://doc.cgal.org/latest/Triangulation/index.html#TriangulationSecRT">CGAL regular triangulation</a> instead
+ * of Delaunay.
+ *
+ * This example builds the CGAL weighted alpha shapes from a small molecule, and initializes the alpha complex with
+ * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d
+ * weighted alpha shapes</a>.
+ *
+ * Then, it is asked to display information about the alpha complex.
+ *
+ * \include Weighted_alpha_complex_from_points.cpp
+ *
+ * When launching:
+ *
+ * \code $> ./Weighted_alpha_complex_example_from_points
+ * \endcode
+ *
+ * the program output is:
+ *
+ * \include weightedalpha3dfrompoints_for_doc.txt
+ *
*
* \section offexample Example from OFF file
*
@@ -154,7 +194,7 @@ namespace alpha_complex {
*
* Then, it is asked to display information about the alpha complex.
*
- * \include Alpha_complex/Alpha_complex_from_off.cpp
+ * \include Alpha_complex_from_off.cpp
*
* When launching:
*
@@ -163,10 +203,10 @@ namespace alpha_complex {
*
* the program output is:
*
- * \include Alpha_complex/alphaoffreader_for_doc_32.txt
+ * \include alphaoffreader_for_doc_32.txt
*
*
- * \section weighted3dexample 3d specific example
+ * \section weighted3dexample 3d specific version
*
* A specific module for Alpha complex is available in 3d (cf. Alpha_complex_3d) and allows to construct standard,
* weighted, periodic or weighted and periodic versions of alpha complexes. Alpha values computation can be
@@ -174,21 +214,14 @@ namespace alpha_complex {
* Gudhi::alpha_complex::complexity::EXACT.
*
* This example builds the CGAL 3d weighted alpha shapes from a small molecule, and initializes the alpha complex with
- * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title13">CGAL 3d
+ * it. This example is taken from <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#AlphaShape_3DExampleforWeightedAlphaShapes">CGAL 3d
* weighted alpha shapes</a>.
*
* Then, it is asked to display information about the alpha complex.
*
- * \include Alpha_complex/Weighted_alpha_complex_3d_from_points.cpp
- *
- * When launching:
- *
- * \code $> ./Alpha_complex_example_weighted_3d_from_points
- * \endcode
- *
- * the program output is:
+ * \include Weighted_alpha_complex_3d_from_points.cpp
*
- * \include Alpha_complex/weightedalpha3dfrompoints_for_doc.txt
+ * The results will be the same as in \ref weightedversion .
*
*/
/** @} */ // end defgroup alpha_complex
diff --git a/src/Alpha_complex/example/CMakeLists.txt b/src/Alpha_complex/example/CMakeLists.txt
index 2eecd50c..1fc2330a 100644
--- a/src/Alpha_complex/example/CMakeLists.txt
+++ b/src/Alpha_complex/example/CMakeLists.txt
@@ -25,7 +25,7 @@ if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
add_test(NAME Alpha_complex_example_fast_from_off_32 COMMAND $<TARGET_FILE:Alpha_complex_example_fast_from_off>
"${CMAKE_SOURCE_DIR}/data/points/alphacomplexdoc.off" "32.0" "${CMAKE_CURRENT_BINARY_DIR}/fastalphaoffreader_result_32.txt")
-if (DIFF_PATH)
+ if (DIFF_PATH)
# Do not forget to copy test results files in current binary dir
file(COPY "alphaoffreader_for_doc_32.txt" DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/)
file(COPY "alphaoffreader_for_doc_60.txt" DESTINATION ${CMAKE_CURRENT_BINARY_DIR}/)
@@ -43,8 +43,10 @@ if (DIFF_PATH)
add_test(Alpha_complex_example_fast_from_off_32_diff_files ${DIFF_PATH}
${CMAKE_CURRENT_BINARY_DIR}/fastalphaoffreader_result_32.txt ${CMAKE_CURRENT_BINARY_DIR}/alphaoffreader_for_doc_32.txt)
set_tests_properties(Alpha_complex_example_fast_from_off_32_diff_files PROPERTIES DEPENDS Alpha_complex_example_fast_from_off_32)
-endif()
+ endif()
+endif(NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+if (NOT CGAL_VERSION VERSION_LESS 4.11.0)
add_executable ( Alpha_complex_example_weighted_3d_from_points Weighted_alpha_complex_3d_from_points.cpp )
target_link_libraries(Alpha_complex_example_weighted_3d_from_points ${CGAL_LIBRARY})
if (TBB_FOUND)
@@ -61,4 +63,13 @@ endif()
add_test(NAME Alpha_complex_example_3d_from_points
COMMAND $<TARGET_FILE:Alpha_complex_example_3d_from_points>)
-endif(NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+endif(NOT CGAL_VERSION VERSION_LESS 4.11.0)
+
+if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
+ add_executable ( Weighted_alpha_complex_example_from_points Weighted_alpha_complex_from_points.cpp )
+ target_link_libraries(Weighted_alpha_complex_example_from_points ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(Weighted_alpha_complex_example_from_points ${TBB_LIBRARIES})
+ endif()
+ add_test(NAME Weighted_alpha_complex_example_from_points COMMAND $<TARGET_FILE:Weighted_alpha_complex_example_from_points>)
+endif(NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
diff --git a/src/Alpha_complex/example/Weighted_alpha_complex_3d_from_points.cpp b/src/Alpha_complex/example/Weighted_alpha_complex_3d_from_points.cpp
index c044194e..ee12d418 100644
--- a/src/Alpha_complex/example/Weighted_alpha_complex_3d_from_points.cpp
+++ b/src/Alpha_complex/example/Weighted_alpha_complex_3d_from_points.cpp
@@ -7,7 +7,7 @@
#include <vector>
#include <limits> // for numeric limits
-// Complexity = FAST, weighted = true, periodic = false
+// Complexity = SAFE, weighted = true, periodic = false
using Weighted_alpha_complex_3d =
Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, true, false>;
using Bare_point = Weighted_alpha_complex_3d::Bare_point_3;
@@ -18,11 +18,11 @@ int main(int argc, char **argv) {
// Init of a list of points and weights from a small molecule
// ----------------------------------------------------------------------------
std::vector<Weighted_point> weighted_points;
- weighted_points.push_back(Weighted_point(Bare_point(1, -1, -1), 4.));
- weighted_points.push_back(Weighted_point(Bare_point(-1, 1, -1), 4.));
- weighted_points.push_back(Weighted_point(Bare_point(-1, -1, 1), 4.));
- weighted_points.push_back(Weighted_point(Bare_point(1, 1, 1), 4.));
- weighted_points.push_back(Weighted_point(Bare_point(2, 2, 2), 1.));
+ weighted_points.emplace_back(Bare_point(1, -1, -1), 4.);
+ weighted_points.emplace_back(Bare_point(-1, 1, -1), 4.);
+ weighted_points.emplace_back(Bare_point(-1, -1, 1), 4.);
+ weighted_points.emplace_back(Bare_point(1, 1, 1), 4.);
+ weighted_points.emplace_back(Bare_point(2, 2, 2), 1.);
// ----------------------------------------------------------------------------
// Init of an alpha complex from the list of points
@@ -34,10 +34,10 @@ int main(int argc, char **argv) {
// ----------------------------------------------------------------------------
// Display information about the alpha complex
// ----------------------------------------------------------------------------
- std::clog << "Alpha complex is of dimension " << simplex.dimension() << " - " << simplex.num_simplices()
+ std::clog << "Weighted alpha complex is of dimension " << simplex.dimension() << " - " << simplex.num_simplices()
<< " simplices - " << simplex.num_vertices() << " vertices." << std::endl;
- std::clog << "Iterator on alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
+ std::clog << "Iterator on weighted alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
for (auto f_simplex : simplex.filtration_simplex_range()) {
std::clog << " ( ";
for (auto vertex : simplex.simplex_vertex_range(f_simplex)) {
diff --git a/src/Alpha_complex/example/Weighted_alpha_complex_from_points.cpp b/src/Alpha_complex/example/Weighted_alpha_complex_from_points.cpp
new file mode 100644
index 00000000..d1f3e436
--- /dev/null
+++ b/src/Alpha_complex/example/Weighted_alpha_complex_from_points.cpp
@@ -0,0 +1,52 @@
+#include <gudhi/Alpha_complex.h>
+// to construct a simplex_tree from alpha complex
+#include <gudhi/Simplex_tree.h>
+
+#include <CGAL/Epeck_d.h>
+
+#include <iostream>
+#include <vector>
+
+// Explicit dimension 2 Epeck_d kernel
+using Kernel = CGAL::Epeck_d< CGAL::Dimension_tag<3> >;
+using Bare_point = Kernel::Point_d;
+using Weighted_point = Kernel::Weighted_point_d;
+using Vector_of_points = std::vector<Weighted_point>;
+
+int main() {
+ // ----------------------------------------------------------------------------
+ // Init of a list of points and weights from a small molecule
+ // ----------------------------------------------------------------------------
+ Vector_of_points points;
+ points.emplace_back(Bare_point(1, -1, -1), 4.);
+ points.emplace_back(Bare_point(-1, 1, -1), 4.);
+ points.emplace_back(Bare_point(-1, -1, 1), 4.);
+ points.emplace_back(Bare_point(1, 1, 1), 4.);
+ points.emplace_back(Bare_point(2, 2, 2), 1.);
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from the list of points
+ // ----------------------------------------------------------------------------
+ Gudhi::alpha_complex::Alpha_complex<Kernel, true> alpha_complex_from_weighted_points(points);
+
+ Gudhi::Simplex_tree<> simplex;
+ if (alpha_complex_from_weighted_points.create_complex(simplex)) {
+ // ----------------------------------------------------------------------------
+ // Display information about the alpha complex
+ // ----------------------------------------------------------------------------
+ std::clog << "Weighted alpha complex is of dimension " << simplex.dimension() <<
+ " - " << simplex.num_simplices() << " simplices - " <<
+ simplex.num_vertices() << " vertices." << std::endl;
+
+ std::clog << "Iterator on weighted alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
+ for (auto f_simplex : simplex.filtration_simplex_range()) {
+ std::clog << " ( ";
+ for (auto vertex : simplex.simplex_vertex_range(f_simplex)) {
+ std::clog << vertex << " ";
+ }
+ std::clog << ") -> " << "[" << simplex.filtration(f_simplex) << "] ";
+ std::clog << std::endl;
+ }
+ }
+ return 0;
+}
diff --git a/src/Alpha_complex/example/weightedalpha3dfrompoints_for_doc.txt b/src/Alpha_complex/example/weightedalpha3dfrompoints_for_doc.txt
index 7a09998d..f0695f1a 100644
--- a/src/Alpha_complex/example/weightedalpha3dfrompoints_for_doc.txt
+++ b/src/Alpha_complex/example/weightedalpha3dfrompoints_for_doc.txt
@@ -1,5 +1,5 @@
-Alpha complex is of dimension 3 - 29 simplices - 5 vertices.
-Iterator on alpha complex simplices in the filtration order, with [filtration value]:
+Weighted alpha complex is of dimension 3 - 29 simplices - 5 vertices.
+Iterator on weighted alpha complex simplices in the filtration order, with [filtration value]:
( 0 ) -> [-4]
( 1 ) -> [-4]
( 2 ) -> [-4]
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex.h b/src/Alpha_complex/include/gudhi/Alpha_complex.h
index ba91998d..a7372f19 100644
--- a/src/Alpha_complex/include/gudhi/Alpha_complex.h
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex.h
@@ -12,14 +12,17 @@
#ifndef ALPHA_COMPLEX_H_
#define ALPHA_COMPLEX_H_
+#include <gudhi/Alpha_complex/Alpha_kernel_d.h>
#include <gudhi/Debug_utils.h>
// to construct Alpha_complex from a OFF file of points
#include <gudhi/Points_off_io.h>
-#include <stdlib.h>
-#include <math.h> // isnan, fmax
+#include <cmath> // isnan, fmax
+#include <memory> // for std::unique_ptr
+#include <cstddef> // for std::size_t
#include <CGAL/Delaunay_triangulation.h>
+#include <CGAL/Regular_triangulation.h> // aka. Weighted Delaunay triangulation
#include <CGAL/Epeck_d.h> // For EXACT or SAFE version
#include <CGAL/Epick_d.h> // For FAST version
#include <CGAL/Spatial_sort_traits_adapter_d.h>
@@ -29,6 +32,10 @@
#include <Eigen/src/Core/util/Macros.h> // for EIGEN_VERSION_AT_LEAST
+#include <boost/range/size.hpp>
+#include <boost/range/combine.hpp>
+#include <boost/range/adaptor/transformed.hpp>
+
#include <iostream>
#include <vector>
#include <string>
@@ -37,6 +44,7 @@
#include <utility> // std::pair
#include <stdexcept>
#include <numeric> // for std::iota
+#include <algorithm> // for std::sort
// Make compilation fail - required for external projects - https://github.com/GUDHI/gudhi-devel/issues/10
#if CGAL_VERSION_NR < 1041101000
@@ -61,7 +69,7 @@ template<typename D> struct Is_Epeck_D<CGAL::Epeck_d<D>> { static const bool val
* \ingroup alpha_complex
*
* \details
- * The data structure is constructing a CGAL Delaunay triangulation (for more informations on CGAL Delaunay
+ * The data structure is constructing a CGAL Delaunay triangulation (for more information on CGAL Delaunay
* triangulation, please refer to the corresponding chapter in page http://doc.cgal.org/latest/Triangulation/) from a
* range of points or from an OFF file (cf. Points_off_reader).
*
@@ -91,49 +99,61 @@ template<typename D> struct Is_Epeck_D<CGAL::Epeck_d<D>> { static const bool val
* guarantee that the output is a valid filtration (faces have a filtration value no larger than their cofaces).
* - For performances reasons, it is advised to use `Alpha_complex` with \ref cgal &ge; 5.0.0.
*/
-template<class Kernel = CGAL::Epeck_d<CGAL::Dynamic_dimension_tag>>
+template<class Kernel = CGAL::Epeck_d<CGAL::Dynamic_dimension_tag>, bool Weighted = false>
class Alpha_complex {
+ private:
+ // Vertex_handle internal type (required by triangulation_ and vertices_).
+ using Internal_vertex_handle = std::ptrdiff_t;
+
public:
+ /** \brief Geometric traits class that provides the geometric types and predicates needed by the triangulations.*/
+ using Geom_traits = std::conditional_t<Weighted, CGAL::Regular_triangulation_traits_adapter<Kernel>, Kernel>;
+
// Add an int in TDS to save point index in the structure
- typedef CGAL::Triangulation_data_structure<typename Kernel::Dimension,
- CGAL::Triangulation_vertex<Kernel, std::ptrdiff_t>,
- CGAL::Triangulation_full_cell<Kernel> > TDS;
- /** \brief A Delaunay triangulation of a set of points in \f$ \mathbb{R}^D\f$.*/
- typedef CGAL::Delaunay_triangulation<Kernel, TDS> Delaunay_triangulation;
-
- /** \brief A point in Euclidean space.*/
- typedef typename Kernel::Point_d Point_d;
- /** \brief Geometric traits class that provides the geometric types and predicates needed by Delaunay
- * triangulations.*/
- typedef Kernel Geom_traits;
+ using TDS = CGAL::Triangulation_data_structure<typename Geom_traits::Dimension,
+ CGAL::Triangulation_vertex<Geom_traits, Internal_vertex_handle>,
+ CGAL::Triangulation_full_cell<Geom_traits> >;
- private:
- typedef typename Kernel::Compute_squared_radius_d Squared_Radius;
- typedef typename Kernel::Side_of_bounded_sphere_d Is_Gabriel;
- typedef typename Kernel::Point_dimension_d Point_Dimension;
+ /** \brief A (Weighted or not) Delaunay triangulation of a set of points in \f$ \mathbb{R}^D\f$.*/
+ using Triangulation = std::conditional_t<Weighted, CGAL::Regular_triangulation<Kernel, TDS>,
+ CGAL::Delaunay_triangulation<Kernel, TDS>>;
- // Vertex_iterator type from CGAL.
- typedef typename Delaunay_triangulation::Vertex_iterator CGAL_vertex_iterator;
+ /** \brief CGAL kernel container for computations in function of the weighted or not characteristics.*/
+ using A_kernel_d = Alpha_kernel_d<Kernel, Weighted>;
- // size_type type from CGAL.
- typedef typename Delaunay_triangulation::size_type size_type;
+ // Numeric type of coordinates in the kernel
+ using FT = typename A_kernel_d::FT;
- // Structure to switch from simplex tree vertex handle to CGAL vertex iterator.
- typedef typename std::vector< CGAL_vertex_iterator > Vector_vertex_iterator;
+ /** \brief Sphere is a std::pair<Kernel::Point_d, Kernel::FT> (aka. circurmcenter and squared radius).
+ * If Weighted, Sphere is a Kernel::Weighted_point_d (aka. circurmcenter and the weight value is the squared radius).
+ */
+ using Sphere = typename A_kernel_d::Sphere;
- // Numeric type of coordinates in the kernel
- typedef typename Kernel::FT FT;
+ /** \brief A point, or a weighted point in Euclidean space.*/
+ using Point_d = typename Geom_traits::Point_d;
+
+ private:
+ // Vertex_iterator type from CGAL.
+ using CGAL_vertex_iterator = typename Triangulation::Vertex_iterator;
+
+ // Structure to switch from simplex tree vertex handle to CGAL vertex iterator.
+ using Vector_vertex_iterator = std::vector< CGAL_vertex_iterator >;
private:
/** \brief Vertex iterator vector to switch from simplex tree vertex handle to CGAL vertex iterator.
* Vertex handles are inserted sequentially, starting at 0.*/
Vector_vertex_iterator vertex_handle_to_iterator_;
/** \brief Pointer on the CGAL Delaunay triangulation.*/
- Delaunay_triangulation* triangulation_;
+ std::unique_ptr<Triangulation> triangulation_;
/** \brief Kernel for triangulation_ functions access.*/
- Kernel kernel_;
+ A_kernel_d kernel_;
+ /** \brief Vertices to be inserted first by the create_complex method to avoid quadratic complexity.
+ * It isn't just [0, n) if some points have multiplicity (only one copy appears in the complex).
+ */
+ std::vector<Internal_vertex_handle> vertices_;
+
/** \brief Cache for geometric constructions: circumcenter and squared radius of a simplex.*/
- std::vector<std::pair<Point_d, FT>> cache_, old_cache_;
+ std::vector<Sphere> cache_, old_cache_;
public:
/** \brief Alpha_complex constructor from an OFF file name.
@@ -145,8 +165,7 @@ class Alpha_complex {
*
* @param[in] off_file_name OFF file [path and] name.
*/
- Alpha_complex(const std::string& off_file_name)
- : triangulation_(nullptr) {
+ Alpha_complex(const std::string& off_file_name) {
Gudhi::Points_off_reader<Point_d> off_reader(off_file_name);
if (!off_reader.is_valid()) {
std::cerr << "Alpha_complex - Unable to read file " << off_file_name << "\n";
@@ -158,23 +177,40 @@ class Alpha_complex {
/** \brief Alpha_complex constructor from a list of points.
*
- * Duplicate points are inserted once in the Alpha_complex. This is the reason why the vertices may be not contiguous.
+ * The vertices may be not contiguous as some points may be discarded in the triangulation (duplicate points,
+ * weighted hidden point, ...).
*
- * @param[in] points Range of points to triangulate. Points must be in Kernel::Point_d
+ * @param[in] points Range of points to triangulate. Points must be in Kernel::Point_d or Kernel::Weighted_point_d.
*
- * The type InputPointRange must be a range for which std::begin and
- * std::end return input iterators on a Kernel::Point_d.
+ * The type InputPointRange must be a range for which std::begin and std::end return input iterators on a
+ * Kernel::Point_d or Kernel::Weighted_point_d.
*/
template<typename InputPointRange >
- Alpha_complex(const InputPointRange& points)
- : triangulation_(nullptr) {
+ Alpha_complex(const InputPointRange& points) {
init_from_range(points);
}
- /** \brief Alpha_complex destructor deletes the Delaunay triangulation.
+ /** \brief Alpha_complex constructor from a list of points and weights.
+ *
+ * The vertices may be not contiguous as some points may be discarded in the triangulation (duplicate points,
+ * weighted hidden point, ...).
+ *
+ * @param[in] points Range of points to triangulate. Points must be in Kernel::Point_d.
+ *
+ * @param[in] weights Range of points weights. Weights must be in Kernel::FT.
+ *
+ * The type InputPointRange must be a range for which std::begin and std::end return input iterators on a
+ * Kernel::Point_d.
*/
- ~Alpha_complex() {
- delete triangulation_;
+ template <typename InputPointRange, typename WeightRange>
+ Alpha_complex(const InputPointRange& points, WeightRange weights) {
+ static_assert(Weighted, "This constructor is not available for non-weighted versions of Alpha_complex");
+ // FIXME: this test is only valid if we have a forward range
+ GUDHI_CHECK(boost::size(weights) == boost::size(points),
+ std::invalid_argument("Points number in range different from weights range number"));
+ auto weighted_points = boost::range::combine(points, weights)
+ | boost::adaptors::transformed([](auto const&t){return Point_d(boost::get<0>(t), boost::get<1>(t));});
+ init_from_range(weighted_points);
}
// Forbid copy/move constructor/assignment operator
@@ -183,6 +219,15 @@ class Alpha_complex {
Alpha_complex (Alpha_complex&& other) = delete;
Alpha_complex& operator= (Alpha_complex&& other) = delete;
+ /** \brief Returns the number of finite vertices in the triangulation.
+ */
+ std::size_t num_vertices() const {
+ if (triangulation_ == nullptr)
+ return 0;
+ else
+ return triangulation_->number_of_vertices();
+ }
+
/** \brief get_point returns the point corresponding to the vertex given as parameter.
*
* @param[in] vertex Vertex handle of the point to retrieve.
@@ -202,39 +247,46 @@ class Alpha_complex {
<< std::endl;
#endif
+#if CGAL_VERSION_NR < 1050101000
+ // Make compilation fail if weighted and CGAL < 5.1
+ static_assert(!Weighted, "Weighted Alpha_complex is only available for CGAL >= 5.1");
+#endif
+
auto first = std::begin(points);
auto last = std::end(points);
if (first != last) {
- // point_dimension function initialization
- Point_Dimension point_dimension = kernel_.point_dimension_d_object();
-
- // Delaunay triangulation is point dimension.
- triangulation_ = new Delaunay_triangulation(point_dimension(*first));
+ // Delaunay triangulation init with point dimension.
+ triangulation_ = std::make_unique<Triangulation>(kernel_.get_dimension(*first));
std::vector<Point_d> point_cloud(first, last);
// Creates a vector {0, 1, ..., N-1}
- std::vector<std::ptrdiff_t> indices(boost::counting_iterator<std::ptrdiff_t>(0),
- boost::counting_iterator<std::ptrdiff_t>(point_cloud.size()));
+ std::vector<Internal_vertex_handle> indices(boost::counting_iterator<Internal_vertex_handle>(0),
+ boost::counting_iterator<Internal_vertex_handle>(point_cloud.size()));
- typedef boost::iterator_property_map<typename std::vector<Point_d>::iterator,
- CGAL::Identity_property_map<std::ptrdiff_t>> Point_property_map;
- typedef CGAL::Spatial_sort_traits_adapter_d<Kernel, Point_property_map> Search_traits_d;
+ using Point_property_map = boost::iterator_property_map<typename std::vector<Point_d>::iterator,
+ CGAL::Identity_property_map<Internal_vertex_handle>>;
+ using Search_traits_d = CGAL::Spatial_sort_traits_adapter_d<Geom_traits, Point_property_map>;
CGAL::spatial_sort(indices.begin(), indices.end(), Search_traits_d(std::begin(point_cloud)));
- typename Delaunay_triangulation::Full_cell_handle hint;
+ typename Triangulation::Full_cell_handle hint;
for (auto index : indices) {
- typename Delaunay_triangulation::Vertex_handle pos = triangulation_->insert(point_cloud[index], hint);
- // Save index value as data to retrieve it after insertion
- pos->data() = index;
- hint = pos->full_cell();
+ typename Triangulation::Vertex_handle pos = triangulation_->insert(point_cloud[index], hint);
+ if (pos != nullptr) {
+ // Save index value as data to retrieve it after insertion
+ pos->data() = index;
+ hint = pos->full_cell();
+ }
}
// --------------------------------------------------------------------------------------------
// structure to retrieve CGAL points from vertex handle - one vertex handle per point.
// Needs to be constructed before as vertex handles arrives in no particular order.
vertex_handle_to_iterator_.resize(point_cloud.size());
+ // List of sorted unique vertices in the triangulation. We take advantage of the existing loop to construct it
+ // Vertices list avoids quadratic complexity with the Simplex_tree. We should not fill it up with Toplex_map e.g.
+ vertices_.reserve(triangulation_->number_of_vertices());
// Loop on triangulation vertices list
for (CGAL_vertex_iterator vit = triangulation_->vertices_begin(); vit != triangulation_->vertices_end(); ++vit) {
if (!triangulation_->is_infinite(*vit)) {
@@ -242,8 +294,10 @@ class Alpha_complex {
std::clog << "Vertex insertion - " << vit->data() << " -> " << vit->point() << std::endl;
#endif // DEBUG_TRACES
vertex_handle_to_iterator_[vit->data()] = vit;
+ vertices_.push_back(vit->data());
}
}
+ std::sort(vertices_.begin(), vertices_.end());
// --------------------------------------------------------------------------------------------
}
}
@@ -270,9 +324,7 @@ class Alpha_complex {
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));
+ cache_.emplace_back(kernel_.get_sphere(v.cbegin(), v.cend()));
}
return cache_[k];
}
@@ -282,13 +334,13 @@ class Alpha_complex {
auto radius(SimplicialComplexForAlpha& cplx, typename SimplicialComplexForAlpha::Simplex_handle s) {
auto k = cplx.key(s);
if(k!=cplx.null_key())
- return old_cache_[k].second;
+ return kernel_.get_squared_radius(old_cache_[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));
- return kernel_.compute_squared_radius_d_object()(v.cbegin(), v.cend());
+ return kernel_.get_squared_radius(v.cbegin(), v.cend());
}
public:
@@ -322,9 +374,9 @@ class Alpha_complex {
bool exact = false,
bool default_filtration_value = false) {
// From SimplicialComplexForAlpha type required to insert into a simplicial complex (with or without subfaces).
- typedef typename SimplicialComplexForAlpha::Vertex_handle Vertex_handle;
- typedef typename SimplicialComplexForAlpha::Simplex_handle Simplex_handle;
- typedef std::vector<Vertex_handle> Vector_vertex;
+ using Vertex_handle = typename SimplicialComplexForAlpha::Vertex_handle;
+ using Simplex_handle = typename SimplicialComplexForAlpha::Simplex_handle;
+ using Vector_vertex = std::vector<Vertex_handle>;
if (triangulation_ == nullptr) {
std::cerr << "Alpha_complex cannot create_complex from a NULL triangulation\n";
@@ -341,13 +393,22 @@ class Alpha_complex {
// --------------------------------------------------------------------------------------------
// Simplex_tree construction from loop on triangulation finite full cells list
- if (triangulation_->number_of_vertices() > 0) {
+ if (num_vertices() > 0) {
+ std::vector<Vertex_handle> one_vertex(1);
+ for (auto vertex : vertices_) {
+#ifdef DEBUG_TRACES
+ std::clog << "SimplicialComplex insertion " << vertex << std::endl;
+#endif // DEBUG_TRACES
+ one_vertex[0] = vertex;
+ complex.insert_simplex_and_subfaces(one_vertex, std::numeric_limits<double>::quiet_NaN());
+ }
+
for (auto cit = triangulation_->finite_full_cells_begin();
cit != triangulation_->finite_full_cells_end();
++cit) {
Vector_vertex vertexVector;
#ifdef DEBUG_TRACES
- std::clog << "Simplex_tree insertion ";
+ std::clog << "SimplicialComplex insertion ";
#endif // DEBUG_TRACES
for (auto vit = cit->vertices_begin(); vit != cit->vertices_end(); ++vit) {
if (*vit != nullptr) {
@@ -368,6 +429,7 @@ class Alpha_complex {
// --------------------------------------------------------------------------------------------
if (!default_filtration_value) {
+ CGAL::NT_converter<FT, Filtration_value> cgal_converter;
// --------------------------------------------------------------------------------------------
// ### For i : d -> 0
for (int decr_dim = triangulation_->maximal_dimension(); decr_dim >= 0; decr_dim--) {
@@ -378,14 +440,13 @@ class Alpha_complex {
// ### 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) {
+ // No need to compute squared_radius on a non-weighted single point - alpha is 0.0
+ if (Weighted || f_simplex_dim > 0) {
auto const& sqrad = radius(complex, f_simplex);
#if CGAL_VERSION_NR >= 1050000000
if(exact) CGAL::exact(sqrad);
#endif
- CGAL::NT_converter<FT, Filtration_value> cv;
- alpha_complex_filtration = cv(sqrad);
+ alpha_complex_filtration = cgal_converter(sqrad);
}
complex.assign_filtration(f_simplex, alpha_complex_filtration);
#ifdef DEBUG_TRACES
@@ -393,7 +454,7 @@ class Alpha_complex {
#endif // DEBUG_TRACES
}
// No need to propagate further, unweighted points all have value 0
- if (decr_dim > 1)
+ if (decr_dim > !Weighted)
propagate_alpha_filtration(complex, f_simplex);
}
}
@@ -403,8 +464,10 @@ class Alpha_complex {
// --------------------------------------------------------------------------------------------
// --------------------------------------------------------------------------------------------
- // As Alpha value is an approximation, we have to make filtration non decreasing while increasing the dimension
- complex.make_filtration_non_decreasing();
+ if (!exact)
+ // As Alpha value is an approximation, we have to make filtration non decreasing while increasing the dimension
+ // Only in not exact version, cf. https://github.com/GUDHI/gudhi-devel/issues/57
+ complex.make_filtration_non_decreasing();
// Remove all simplices that have a filtration value greater than max_alpha_square
complex.prune_above_filtration(max_alpha_square);
// --------------------------------------------------------------------------------------------
@@ -416,11 +479,11 @@ class Alpha_complex {
template <typename SimplicialComplexForAlpha, typename Simplex_handle>
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;
- typedef typename SimplicialComplexForAlpha::Vertex_handle Vertex_handle;
+ using Filtration_value = typename SimplicialComplexForAlpha::Filtration_value;
// ### Foreach Tau face of Sigma
- for (auto f_boundary : complex.boundary_simplex_range(f_simplex)) {
+ for (auto face_opposite_vertex : complex.boundary_opposite_vertex_simplex_range(f_simplex)) {
+ auto f_boundary = face_opposite_vertex.first;
#ifdef DEBUG_TRACES
std::clog << " | --------------------------------------------------\n";
std::clog << " | Tau ";
@@ -441,18 +504,10 @@ class Alpha_complex {
#endif // DEBUG_TRACES
// ### Else
} else {
- // 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;
+ bool is_gab = kernel_.is_gabriel(cache, get_point_(face_opposite_vertex.second));
#ifdef DEBUG_TRACES
- std::clog << " | Tau is_gabriel(Sigma)=" << is_gab << " - vertexForGabriel=" << extra << std::endl;
+ std::clog << " | Tau is_gabriel(Sigma)=" << is_gab << " - vertexForGabriel=" << face_opposite_vertex.second << std::endl;
#endif // DEBUG_TRACES
// ### If Tau is not Gabriel of Sigma
if (false == is_gab) {
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex/Alpha_kernel_d.h b/src/Alpha_complex/include/gudhi/Alpha_complex/Alpha_kernel_d.h
new file mode 100644
index 00000000..28d6d7a9
--- /dev/null
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex/Alpha_kernel_d.h
@@ -0,0 +1,141 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#ifndef ALPHA_COMPLEX_ALPHA_KERNEL_D_H_
+#define ALPHA_COMPLEX_ALPHA_KERNEL_D_H_
+
+#include <CGAL/version.h> // for CGAL_VERSION_NR
+
+#include <Eigen/Core> // for EIGEN_VERSION_AT_LEAST
+
+#include <utility> // for std::make_pair
+
+// Make compilation fail - required for external projects - https://github.com/GUDHI/gudhi-devel/issues/10
+#if CGAL_VERSION_NR < 1041101000
+# error Alpha_complex is only available for CGAL >= 4.11
+#endif
+
+#if !EIGEN_VERSION_AT_LEAST(3,1,0)
+# error Alpha_complex is only available for Eigen3 >= 3.1.0 installed with CGAL
+#endif
+
+namespace Gudhi {
+
+namespace alpha_complex {
+
+/**
+ * \class Alpha_kernel_d
+ * \brief Alpha complex kernel container.
+ *
+ * \details
+ * The Alpha complex kernel container stores CGAL Kernel and dispatch basics computations in function of the weighted
+ * or not version of the Alpha complex.
+ */
+template < typename Kernel, bool Weighted = false >
+class Alpha_kernel_d {
+};
+
+// Unweighted Kernel_d version
+template < typename Kernel >
+class Alpha_kernel_d<Kernel, false> {
+ private:
+ // Kernel for functions access.
+ Kernel kernel_;
+ public:
+ // Fake type for compilation to succeed (cf. std::conditional in Alpha_complex.h)
+ using Weighted_point_d = void;
+ using Point_d = typename Kernel::Point_d;
+ // Numeric type of coordinates in the kernel
+ using FT = typename Kernel::FT;
+ // Sphere is a pair of point and squared radius.
+ using Sphere = typename std::pair<Point_d, FT>;
+
+ int get_dimension(const Point_d& p0) const {
+ return kernel_.point_dimension_d_object()(p0);
+ }
+
+ template<class PointIterator>
+ Sphere get_sphere(PointIterator begin, PointIterator end) const {
+ Point_d c = kernel_.construct_circumcenter_d_object()(begin, end);
+ FT r = kernel_.squared_distance_d_object()(c, *begin);
+ return std::make_pair(std::move(c), std::move(r));
+ }
+
+ template<class PointIterator>
+ FT get_squared_radius(PointIterator begin, PointIterator end) const {
+ return kernel_.compute_squared_radius_d_object()(begin, end);
+ }
+
+ FT get_squared_radius(const Sphere& sph) const {
+ return sph.second;
+ }
+
+ bool is_gabriel(const Sphere& circumcenter, const Point_d& point) {
+ return kernel_.squared_distance_d_object()(circumcenter.first, point) >= circumcenter.second;
+ }
+};
+
+// Weighted Kernel_d version
+template < typename Kernel >
+class Alpha_kernel_d<Kernel, true> {
+ private:
+ // Kernel for functions access.
+ Kernel kernel_;
+
+ public:
+ // Fake type for compilation to succeed (cf. std::conditional in Alpha_complex.h)
+ using Point_d = void;
+ using Weighted_point_d = typename Kernel::Weighted_point_d;
+ using Bare_point_d = typename Kernel::Point_d;
+ // Numeric type of coordinates in the kernel
+ using FT = typename Kernel::FT;
+ // Sphere is a weighted point (point + weight [= squared radius]).
+ using Sphere = Weighted_point_d;
+
+ int get_dimension(const Weighted_point_d& p0) const {
+ return kernel_.point_dimension_d_object()(p0.point());
+ }
+
+ template<class PointIterator>
+ Sphere get_sphere(PointIterator begin, PointIterator end) const {
+ // power_center_d_object has been renamed between CGAL 5.1 and 5.2
+#if CGAL_VERSION_NR < 1050200000
+ return kernel_.power_center_d_object()(begin, end);
+#else
+ return kernel_.construct_power_sphere_d_object()(begin, end);
+#endif
+ }
+
+ template<class PointIterator>
+ FT get_squared_radius(PointIterator begin, PointIterator end) const {
+ return kernel_.compute_squared_radius_smallest_orthogonal_sphere_d_object()(begin, end);
+ }
+
+ FT get_squared_radius(const Sphere& sph) const {
+ return sph.weight();
+ }
+
+ bool is_gabriel(const Sphere& circumcenter, const Weighted_point_d& point) {
+ // power_center_d_object has been renamed between CGAL 5.1 and 5.2
+#if CGAL_VERSION_NR < 1050200000
+ return kernel_.power_distance_d_object()(circumcenter, point) >= 0;
+#else
+ return kernel_.compute_power_product_d_object()(circumcenter, point) >= 0;
+#endif
+ }
+};
+
+} // namespace alpha_complex
+
+namespace alphacomplex = alpha_complex;
+
+} // namespace Gudhi
+
+#endif // ALPHA_COMPLEX_ALPHA_KERNEL_D_H_ \ No newline at end of file
diff --git a/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h b/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
index c19ebb79..562ef139 100644
--- a/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
+++ b/src/Alpha_complex/include/gudhi/Alpha_complex_3d.h
@@ -12,8 +12,10 @@
#ifndef ALPHA_COMPLEX_3D_H_
#define ALPHA_COMPLEX_3D_H_
-#include <boost/version.hpp>
#include <boost/variant.hpp>
+#include <boost/range/size.hpp>
+#include <boost/range/combine.hpp>
+#include <boost/range/adaptor/transformed.hpp>
#include <gudhi/Debug_utils.h>
#include <gudhi/Alpha_complex_options.h>
@@ -35,8 +37,6 @@
#include <CGAL/iterator.h>
#include <CGAL/version.h> // for CGAL_VERSION_NR
-#include <Eigen/src/Core/util/Macros.h> // for EIGEN_VERSION_AT_LEAST
-
#include <boost/container/static_vector.hpp>
#include <iostream>
@@ -53,16 +53,10 @@
# error Alpha_complex_3d is only available for CGAL >= 4.11
#endif
-#if !EIGEN_VERSION_AT_LEAST(3,1,0)
-# error Alpha_complex_3d is only available for Eigen3 >= 3.1.0 installed with CGAL
-#endif
-
namespace Gudhi {
namespace alpha_complex {
-thread_local double RELATIVE_PRECISION_OF_TO_DOUBLE = 0.00001;
-
// Value_from_iterator returns the filtration value from an iterator on alpha shapes values
//
// FAST SAFE EXACT
@@ -104,7 +98,7 @@ struct Value_from_iterator<complexity::EXACT> {
* \tparam Periodic Boolean used to set/unset the periodic version of Alpha_complex_3d. Default value is false.
*
* For the weighted version, weights values are explained on CGAL
- * <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0">Alpha shapes 3d</a> and
+ * <a href="https://doc.cgal.org/latest/Alpha_shapes_3/index.html#Alpha_shapes_3Definitions">Alpha shapes 3d</a> and
* <a href="https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation">Regular
* triangulation</a> documentation.
*
@@ -157,8 +151,10 @@ class Alpha_complex_3d {
using Kernel = CGAL::Periodic_3_regular_triangulation_traits_3<Predicates>;
};
+ public:
using Kernel = typename Kernel_3<Predicates, Weighted, Periodic>::Kernel;
+ private:
using TdsVb = typename std::conditional<Periodic, CGAL::Periodic_3_triangulation_ds_vertex_base_3<>,
CGAL::Triangulation_ds_vertex_base_3<>>::type;
@@ -277,8 +273,8 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
Alpha_complex_3d(const InputPointRange& points) {
static_assert(!Periodic, "This constructor is not available for periodic versions of Alpha_complex_3d");
- alpha_shape_3_ptr_ = std::unique_ptr<Alpha_shape_3>(
- new Alpha_shape_3(std::begin(points), std::end(points), 0, Alpha_shape_3::GENERAL));
+ alpha_shape_3_ptr_ = std::make_unique<Alpha_shape_3>(
+ std::begin(points), std::end(points), 0, Alpha_shape_3::GENERAL);
}
/** \brief Alpha_complex constructor from a list of points and associated weights.
@@ -299,20 +295,15 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
Alpha_complex_3d(const InputPointRange& points, WeightRange weights) {
static_assert(Weighted, "This constructor is not available for non-weighted versions of Alpha_complex_3d");
static_assert(!Periodic, "This constructor is not available for periodic versions of Alpha_complex_3d");
- GUDHI_CHECK((weights.size() == points.size()),
+ // FIXME: this test is only valid if we have a forward range
+ GUDHI_CHECK(boost::size(weights) == boost::size(points),
std::invalid_argument("Points number in range different from weights range number"));
- std::vector<Weighted_point_3> weighted_points_3;
+ auto weighted_points_3 = boost::range::combine(points, weights)
+ | boost::adaptors::transformed([](auto const&t){return Weighted_point_3(boost::get<0>(t), boost::get<1>(t));});
- std::size_t index = 0;
- weighted_points_3.reserve(points.size());
- while ((index < weights.size()) && (index < points.size())) {
- weighted_points_3.push_back(Weighted_point_3(points[index], weights[index]));
- index++;
- }
-
- alpha_shape_3_ptr_ = std::unique_ptr<Alpha_shape_3>(
- new Alpha_shape_3(std::begin(weighted_points_3), std::end(weighted_points_3), 0, Alpha_shape_3::GENERAL));
+ alpha_shape_3_ptr_ = std::make_unique<Alpha_shape_3>(
+ std::begin(weighted_points_3), std::end(weighted_points_3), 0, Alpha_shape_3::GENERAL);
}
/** \brief Alpha_complex constructor from a list of points and an iso-cuboid coordinates.
@@ -356,7 +347,7 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
// alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode
// Maybe need to set it to GENERAL mode
- alpha_shape_3_ptr_ = std::unique_ptr<Alpha_shape_3>(new Alpha_shape_3(pdt, 0, Alpha_shape_3::GENERAL));
+ alpha_shape_3_ptr_ = std::make_unique<Alpha_shape_3>(pdt, 0, Alpha_shape_3::GENERAL);
}
/** \brief Alpha_complex constructor from a list of points, associated weights and an iso-cuboid coordinates.
@@ -388,31 +379,27 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
FT z_min, FT x_max, FT y_max, FT z_max) {
static_assert(Weighted, "This constructor is not available for non-weighted versions of Alpha_complex_3d");
static_assert(Periodic, "This constructor is not available for non-periodic versions of Alpha_complex_3d");
- GUDHI_CHECK((weights.size() == points.size()),
+ // FIXME: this test is only valid if we have a forward range
+ GUDHI_CHECK(boost::size(weights) == boost::size(points),
std::invalid_argument("Points number in range different from weights range number"));
// Checking if the cuboid is the same in x,y and z direction. If not, CGAL will not process it.
GUDHI_CHECK(
(x_max - x_min == y_max - y_min) && (x_max - x_min == z_max - z_min) && (z_max - z_min == y_max - y_min),
std::invalid_argument("The size of the cuboid in every directions is not the same."));
- std::vector<Weighted_point_3> weighted_points_3;
-
- std::size_t index = 0;
- weighted_points_3.reserve(points.size());
-
#ifdef GUDHI_DEBUG
// Defined in GUDHI_DEBUG to avoid unused variable warning for GUDHI_CHECK
FT maximal_possible_weight = 0.015625 * (x_max - x_min) * (x_max - x_min);
#endif
- while ((index < weights.size()) && (index < points.size())) {
- GUDHI_CHECK((weights[index] < maximal_possible_weight) && (weights[index] >= 0),
- std::invalid_argument("Invalid weight at index " + std::to_string(index + 1) +
- ". Must be positive and less than maximal possible weight = 1/64*cuboid length "
- "squared, which is not an acceptable input."));
- weighted_points_3.push_back(Weighted_point_3(points[index], weights[index]));
- index++;
- }
+ auto weighted_points_3 = boost::range::combine(points, weights)
+ | boost::adaptors::transformed([=](auto const&t){
+ auto w = boost::get<1>(t);
+ GUDHI_CHECK((w < maximal_possible_weight) && (w >= 0),
+ std::invalid_argument("Invalid weight " + std::to_string(w) +
+ ". Must be non-negative and less than maximal possible weight = 1/64*cuboid length squared."));
+ return Weighted_point_3(boost::get<0>(t), w);
+ });
// Define the periodic cube
Dt pdt(typename Kernel::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max));
@@ -426,7 +413,7 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
// alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode
// Maybe need to set it to GENERAL mode
- alpha_shape_3_ptr_ = std::unique_ptr<Alpha_shape_3>(new Alpha_shape_3(pdt, 0, Alpha_shape_3::GENERAL));
+ alpha_shape_3_ptr_ = std::make_unique<Alpha_shape_3>(pdt, 0, Alpha_shape_3::GENERAL);
}
/** \brief Inserts all Delaunay triangulation into the simplicial complex.
@@ -471,6 +458,10 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
#ifdef DEBUG_TRACES
std::clog << "filtration_with_alpha_values returns : " << objects.size() << " objects" << std::endl;
#endif // DEBUG_TRACES
+ if (objects.size() == 0) {
+ std::cerr << "Alpha_complex_3d create_complex - no triangulation as points are on a 2d plane\n";
+ return false; // ----- >>
+ }
using Alpha_value_iterator = typename std::vector<FT>::const_iterator;
Alpha_value_iterator alpha_value_iterator = alpha_values.begin();
@@ -560,8 +551,10 @@ Weighted_alpha_complex_3d::Weighted_point_3 wp0(Weighted_alpha_complex_3d::Bare_
std::clog << "cells \t\t" << count_cells << std::endl;
#endif // DEBUG_TRACES
// --------------------------------------------------------------------------------------------
- // As Alpha value is an approximation, we have to make filtration non decreasing while increasing the dimension
- complex.make_filtration_non_decreasing();
+ if (Complexity == complexity::FAST)
+ // As Alpha value is an approximation, we have to make filtration non decreasing while increasing the dimension
+ // Only in FAST version, cf. https://github.com/GUDHI/gudhi-devel/issues/57
+ complex.make_filtration_non_decreasing();
// Remove all simplices that have a filtration value greater than max_alpha_square
complex.prune_above_filtration(max_alpha_square);
// --------------------------------------------------------------------------------------------
diff --git a/src/Alpha_complex/test/Alpha_complex_dim3_unit_test.cpp b/src/Alpha_complex/test/Alpha_complex_dim3_unit_test.cpp
new file mode 100644
index 00000000..e7c261f1
--- /dev/null
+++ b/src/Alpha_complex/test/Alpha_complex_dim3_unit_test.cpp
@@ -0,0 +1,117 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2015 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "alpha_complex_dim3"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Epick_d.h>
+#include <CGAL/Epeck_d.h>
+
+#include <stdexcept> // std::out_of_range
+#include <string>
+#include <vector>
+
+#include <gudhi/Alpha_complex.h>
+#include <gudhi/Simplex_tree.h>
+
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epeck_d< CGAL::Dynamic_dimension_tag > Exact_kernel_d;
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epeck_d< CGAL::Dimension_tag<3> > Exact_kernel_s;
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Inexact_kernel_d;
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<3> > Inexact_kernel_s;
+// The triangulation uses the default instantiation of the TriangulationDataStructure template parameter
+
+typedef boost::mpl::list<Exact_kernel_d, Exact_kernel_s, Inexact_kernel_d, Inexact_kernel_s> list_of_kernel_variants;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_OFF_file, TestedKernel, list_of_kernel_variants) {
+ // ----------------------------------------------------------------------------
+ //
+ // Init of an alpha-complex from a OFF file
+ //
+ // ----------------------------------------------------------------------------
+ std::string off_file_name("alphacomplexdoc.off");
+ double max_alpha_square_value = 60.0;
+ std::clog << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
+ max_alpha_square_value << "==========" << std::endl;
+
+ Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_file(off_file_name);
+
+ Gudhi::Simplex_tree<> simplex_tree_60;
+ BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_60, max_alpha_square_value));
+
+ std::clog << "alpha_complex_from_file.num_vertices()=" << alpha_complex_from_file.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_vertices() == 7);
+
+ std::clog << "simplex_tree_60.dimension()=" << simplex_tree_60.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree_60.dimension() == 2);
+
+ std::clog << "simplex_tree_60.num_vertices()=" << simplex_tree_60.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree_60.num_vertices() == 7);
+
+ std::clog << "simplex_tree_60.num_simplices()=" << simplex_tree_60.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree_60.num_simplices() == 25);
+
+ max_alpha_square_value = 59.0;
+ std::clog << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
+ max_alpha_square_value << "==========" << std::endl;
+
+ Gudhi::Simplex_tree<> simplex_tree_59;
+ BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_59, max_alpha_square_value));
+
+ std::clog << "alpha_complex_from_file.num_vertices()=" << alpha_complex_from_file.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_file.num_vertices() == 7);
+
+ std::clog << "simplex_tree_59.dimension()=" << simplex_tree_59.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree_59.dimension() == 2);
+
+ std::clog << "simplex_tree_59.num_vertices()=" << simplex_tree_59.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree_59.num_vertices() == 7);
+
+ std::clog << "simplex_tree_59.num_simplices()=" << simplex_tree_59.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree_59.num_simplices() == 23);
+}
+
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_empty_points, TestedKernel, list_of_kernel_variants) {
+ std::clog << "========== Alpha_complex_from_empty_points ==========" << std::endl;
+
+ // ----------------------------------------------------------------------------
+ // Init of an empty list of points
+ // ----------------------------------------------------------------------------
+ std::vector<typename TestedKernel::Point_d> points;
+
+ // ----------------------------------------------------------------------------
+ // Init of an alpha complex from the list of points
+ // ----------------------------------------------------------------------------
+ Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_points(points);
+
+ std::clog << "alpha_complex_from_points.num_vertices()=" << alpha_complex_from_points.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_vertices() == points.size());
+
+ // Test to the limit
+ BOOST_CHECK_THROW (alpha_complex_from_points.get_point(0), std::out_of_range);
+
+ Gudhi::Simplex_tree<> simplex_tree;
+ BOOST_CHECK(!alpha_complex_from_points.create_complex(simplex_tree));
+
+ std::clog << "simplex_tree.num_simplices()=" << simplex_tree.num_simplices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_simplices() == 0);
+
+ std::clog << "simplex_tree.dimension()=" << simplex_tree.dimension() << std::endl;
+ BOOST_CHECK(simplex_tree.dimension() == -1);
+
+ std::clog << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices() << std::endl;
+ BOOST_CHECK(simplex_tree.num_vertices() == points.size());
+}
diff --git a/src/Alpha_complex/test/Alpha_complex_unit_test.cpp b/src/Alpha_complex/test/Alpha_complex_unit_test.cpp
index 4b37e4bd..b474917f 100644
--- a/src/Alpha_complex/test/Alpha_complex_unit_test.cpp
+++ b/src/Alpha_complex/test/Alpha_complex_unit_test.cpp
@@ -13,75 +13,17 @@
#include <boost/test/unit_test.hpp>
#include <boost/mpl/list.hpp>
-#include <CGAL/Delaunay_triangulation.h>
#include <CGAL/Epick_d.h>
#include <CGAL/Epeck_d.h>
-#include <cmath> // float comparison
-#include <limits>
+#include <stdexcept> // std::out_of_range
#include <string>
#include <vector>
#include <gudhi/Alpha_complex.h>
-// to construct a simplex_tree from Delaunay_triangulation
-#include <gudhi/graph_simplicial_complex.h>
#include <gudhi/Simplex_tree.h>
#include <gudhi/Unitary_tests_utils.h>
-// Use dynamic_dimension_tag for the user to be able to set dimension
-typedef CGAL::Epeck_d< CGAL::Dynamic_dimension_tag > Exact_kernel_d;
-// Use static dimension_tag for the user not to be able to set dimension
-typedef CGAL::Epeck_d< CGAL::Dimension_tag<3> > Exact_kernel_s;
-// Use dynamic_dimension_tag for the user to be able to set dimension
-typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Inexact_kernel_d;
-// Use static dimension_tag for the user not to be able to set dimension
-typedef CGAL::Epick_d< CGAL::Dimension_tag<3> > Inexact_kernel_s;
-// The triangulation uses the default instantiation of the TriangulationDataStructure template parameter
-
-typedef boost::mpl::list<Exact_kernel_d, Exact_kernel_s, Inexact_kernel_d, Inexact_kernel_s> list_of_kernel_variants;
-
-BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_OFF_file, TestedKernel, list_of_kernel_variants) {
- // ----------------------------------------------------------------------------
- //
- // Init of an alpha-complex from a OFF file
- //
- // ----------------------------------------------------------------------------
- std::string off_file_name("alphacomplexdoc.off");
- double max_alpha_square_value = 60.0;
- std::clog << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
- max_alpha_square_value << "==========" << std::endl;
-
- Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_file(off_file_name);
-
- Gudhi::Simplex_tree<> simplex_tree_60;
- BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_60, max_alpha_square_value));
-
- std::clog << "simplex_tree_60.dimension()=" << simplex_tree_60.dimension() << std::endl;
- BOOST_CHECK(simplex_tree_60.dimension() == 2);
-
- std::clog << "simplex_tree_60.num_vertices()=" << simplex_tree_60.num_vertices() << std::endl;
- BOOST_CHECK(simplex_tree_60.num_vertices() == 7);
-
- std::clog << "simplex_tree_60.num_simplices()=" << simplex_tree_60.num_simplices() << std::endl;
- BOOST_CHECK(simplex_tree_60.num_simplices() == 25);
-
- max_alpha_square_value = 59.0;
- std::clog << "========== OFF FILE NAME = " << off_file_name << " - alpha²=" <<
- max_alpha_square_value << "==========" << std::endl;
-
- Gudhi::Simplex_tree<> simplex_tree_59;
- BOOST_CHECK(alpha_complex_from_file.create_complex(simplex_tree_59, max_alpha_square_value));
-
- std::clog << "simplex_tree_59.dimension()=" << simplex_tree_59.dimension() << std::endl;
- BOOST_CHECK(simplex_tree_59.dimension() == 2);
-
- std::clog << "simplex_tree_59.num_vertices()=" << simplex_tree_59.num_vertices() << std::endl;
- BOOST_CHECK(simplex_tree_59.num_vertices() == 7);
-
- std::clog << "simplex_tree_59.num_simplices()=" << simplex_tree_59.num_simplices() << std::endl;
- BOOST_CHECK(simplex_tree_59.num_simplices() == 23);
-}
-
// Use static dimension_tag for the user not to be able to set dimension
typedef CGAL::Epeck_d< CGAL::Dimension_tag<4> > Kernel_4;
typedef Kernel_4::Point_d Point_4;
@@ -120,6 +62,9 @@ BOOST_AUTO_TEST_CASE(Alpha_complex_from_points) {
Gudhi::Simplex_tree<> simplex_tree;
BOOST_CHECK(alpha_complex_from_points.create_complex(simplex_tree));
+ std::clog << "alpha_complex_from_points.num_vertices()=" << alpha_complex_from_points.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_vertices() == points.size());
+
// Another way to check num_simplices
std::clog << "Iterator on alpha complex simplices in the filtration order, with [filtration value]:" << std::endl;
int num_simplices = 0;
@@ -227,34 +172,6 @@ BOOST_AUTO_TEST_CASE(Alpha_complex_from_points) {
}
-BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_from_empty_points, TestedKernel, list_of_kernel_variants) {
- std::clog << "========== Alpha_complex_from_empty_points ==========" << std::endl;
-
- // ----------------------------------------------------------------------------
- // Init of an empty list of points
- // ----------------------------------------------------------------------------
- std::vector<typename TestedKernel::Point_d> points;
-
- // ----------------------------------------------------------------------------
- // Init of an alpha complex from the list of points
- // ----------------------------------------------------------------------------
- Gudhi::alpha_complex::Alpha_complex<TestedKernel> alpha_complex_from_points(points);
-
- // Test to the limit
- BOOST_CHECK_THROW (alpha_complex_from_points.get_point(0), std::out_of_range);
-
- Gudhi::Simplex_tree<> simplex_tree;
- BOOST_CHECK(!alpha_complex_from_points.create_complex(simplex_tree));
-
- std::clog << "simplex_tree.num_simplices()=" << simplex_tree.num_simplices() << std::endl;
- BOOST_CHECK(simplex_tree.num_simplices() == 0);
-
- std::clog << "simplex_tree.dimension()=" << simplex_tree.dimension() << std::endl;
- BOOST_CHECK(simplex_tree.dimension() == -1);
-
- std::clog << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices() << std::endl;
- BOOST_CHECK(simplex_tree.num_vertices() == points.size());
-}
using Inexact_kernel_2 = CGAL::Epick_d< CGAL::Dimension_tag<2> >;
using Exact_kernel_2 = CGAL::Epeck_d< CGAL::Dimension_tag<2> >;
@@ -291,6 +208,9 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_complex_with_duplicated_points, TestedKernel
std::clog << "create_complex" << std::endl;
BOOST_CHECK(alpha_complex_from_points.create_complex(simplex_tree));
+ std::clog << "alpha_complex_from_points.num_vertices()=" << alpha_complex_from_points.num_vertices() << std::endl;
+ BOOST_CHECK(alpha_complex_from_points.num_vertices() < points.size());
+
std::clog << "simplex_tree.num_vertices()=" << simplex_tree.num_vertices()
<< std::endl;
BOOST_CHECK(simplex_tree.num_vertices() < points.size());
diff --git a/src/Alpha_complex/test/Alpha_kernel_d_unit_test.cpp b/src/Alpha_complex/test/Alpha_kernel_d_unit_test.cpp
new file mode 100644
index 00000000..6da4c084
--- /dev/null
+++ b/src/Alpha_complex/test/Alpha_kernel_d_unit_test.cpp
@@ -0,0 +1,109 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "alpha_kernel_d"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Epick_d.h>
+#include <CGAL/Epeck_d.h>
+#include <CGAL/NT_converter.h>
+
+#include <iostream>
+#include <vector>
+#include <utility> // for std::pair
+
+#include <gudhi/Alpha_complex/Alpha_kernel_d.h>
+#include <gudhi/Unitary_tests_utils.h>
+
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epeck_d< CGAL::Dynamic_dimension_tag > Exact_kernel_d;
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epeck_d< CGAL::Dimension_tag<4> > Exact_kernel_s;
+// Use dynamic_dimension_tag for the user to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dynamic_dimension_tag > Inexact_kernel_d;
+// Use static dimension_tag for the user not to be able to set dimension
+typedef CGAL::Epick_d< CGAL::Dimension_tag<4> > Inexact_kernel_s;
+// The triangulation uses the default instantiation of the TriangulationDataStructure template parameter
+
+typedef boost::mpl::list<Exact_kernel_d, Exact_kernel_s, Inexact_kernel_d, Inexact_kernel_s> list_of_kernel_variants;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_kernel_d_dimension, TestedKernel, list_of_kernel_variants) {
+ // Test for a point (weighted or not) in 4d, that the dimension is 4.
+
+ Gudhi::alpha_complex::Alpha_kernel_d<TestedKernel, false> kernel;
+ std::vector<double> p0 {0., 1., 2., 3.};
+ typename TestedKernel::Point_d p0_d(p0.begin(), p0.end());
+
+ std::clog << "Dimension is " << kernel.get_dimension(p0_d) << std::endl;
+ BOOST_CHECK(kernel.get_dimension(p0_d) == 4);
+
+ Gudhi::alpha_complex::Alpha_kernel_d<TestedKernel, true> w_kernel;
+ typename TestedKernel::Weighted_point_d w_p0_d(p0_d, 10.);
+
+ std::clog << "Dimension is " << w_kernel.get_dimension(w_p0_d) << std::endl;
+ BOOST_CHECK(w_kernel.get_dimension(w_p0_d) == 4);
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Alpha_kernel_d_sphere, TestedKernel, list_of_kernel_variants) {
+ // Test with 5 points on a 3-sphere, that get_sphere returns the same center and squared radius
+ // for dD unweighted and for dD weighted with all weights at 0.
+
+ using Unweighted_kernel = Gudhi::alpha_complex::Alpha_kernel_d<TestedKernel, false>;
+ // Sphere: (x-1)² + (y-1)² + z² + t² = 1
+ // At least 5 points for a 3-sphere
+ std::vector<double> p0 {1., 0., 0., 0.};
+ std::vector<double> p1 {0., 1., 0., 0.};
+ std::vector<double> p2 {1., 1., 1., 0.};
+ std::vector<double> p3 {1., 1., 0., 1.};
+ std::vector<double> p4 {1., 1., -1., 0.};
+
+ using Point_d = typename Unweighted_kernel::Point_d;
+ std::vector<Point_d> unw_pts;
+ unw_pts.emplace_back(p0.begin(), p0.end());
+ unw_pts.emplace_back(p1.begin(), p1.end());
+ unw_pts.emplace_back(p2.begin(), p2.end());
+ unw_pts.emplace_back(p3.begin(), p3.end());
+ unw_pts.emplace_back(p4.begin(), p4.end());
+
+ Unweighted_kernel kernel;
+ auto unw_sphere = kernel.get_sphere(unw_pts.cbegin(), unw_pts.cend());
+
+ std::clog << "Center is " << unw_sphere.first << " - squared radius is " << unw_sphere.second << std::endl;
+
+ using Weighted_kernel = Gudhi::alpha_complex::Alpha_kernel_d<TestedKernel, true>;
+
+ using Weighted_point_d = typename Weighted_kernel::Weighted_point_d;
+ using Bare_point_d = typename Weighted_kernel::Bare_point_d;
+ std::vector<Weighted_point_d> w_pts;
+ w_pts.emplace_back(Bare_point_d(p0.begin(), p0.end()), 0.);
+ w_pts.emplace_back(Bare_point_d(p1.begin(), p1.end()), 0.);
+ w_pts.emplace_back(Bare_point_d(p2.begin(), p2.end()), 0.);
+ w_pts.emplace_back(Bare_point_d(p3.begin(), p3.end()), 0.);
+ w_pts.emplace_back(Bare_point_d(p4.begin(), p4.end()), 0.);
+
+ Weighted_kernel w_kernel;
+ auto w_sphere = w_kernel.get_sphere(w_pts.cbegin(), w_pts.cend());
+
+ std::clog << "Center is " << w_sphere.point() << " - squared radius is " << w_sphere.weight() << std::endl;
+
+ CGAL::NT_converter<typename Weighted_kernel::FT, double> cast_to_double;
+ // The results shall be the same with weights = 0.
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(cast_to_double(unw_sphere.second), cast_to_double(w_sphere.weight()));
+ BOOST_CHECK(unw_sphere.first == w_sphere.point());
+
+ auto unw_sq_rd = kernel.get_squared_radius(unw_pts.cbegin(), unw_pts.cend());
+ std::clog << "Squared radius is " << unw_sq_rd << std::endl;
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(cast_to_double(unw_sphere.second), cast_to_double(unw_sq_rd));
+ auto w_sq_rd = w_kernel.get_squared_radius(w_pts.cbegin(), w_pts.cend());
+ std::clog << "Squared radius is " << w_sq_rd << std::endl;
+ GUDHI_TEST_FLOAT_EQUALITY_CHECK(cast_to_double(w_sphere.weight()), cast_to_double(w_sq_rd));
+}
diff --git a/src/Alpha_complex/test/CMakeLists.txt b/src/Alpha_complex/test/CMakeLists.txt
index fe4b23e4..dd2c235f 100644
--- a/src/Alpha_complex/test/CMakeLists.txt
+++ b/src/Alpha_complex/test/CMakeLists.txt
@@ -8,16 +8,24 @@ if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
add_executable ( Alpha_complex_test_unit Alpha_complex_unit_test.cpp )
target_link_libraries(Alpha_complex_test_unit ${CGAL_LIBRARY})
+ add_executable ( Alpha_complex_dim3_test_unit Alpha_complex_dim3_unit_test.cpp )
+ target_link_libraries(Alpha_complex_dim3_test_unit ${CGAL_LIBRARY})
add_executable ( Delaunay_complex_test_unit Delaunay_complex_unit_test.cpp )
target_link_libraries(Delaunay_complex_test_unit ${CGAL_LIBRARY})
if (TBB_FOUND)
target_link_libraries(Alpha_complex_test_unit ${TBB_LIBRARIES})
+ target_link_libraries(Alpha_complex_dim3_test_unit ${TBB_LIBRARIES})
target_link_libraries(Delaunay_complex_test_unit ${TBB_LIBRARIES})
endif()
gudhi_add_boost_test(Alpha_complex_test_unit)
+ gudhi_add_boost_test(Alpha_complex_dim3_test_unit)
gudhi_add_boost_test(Delaunay_complex_test_unit)
+endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+
+if (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+
add_executable ( Alpha_complex_3d_test_unit Alpha_complex_3d_unit_test.cpp )
target_link_libraries(Alpha_complex_3d_test_unit ${CGAL_LIBRARY})
add_executable ( Weighted_alpha_complex_3d_test_unit Weighted_alpha_complex_3d_unit_test.cpp )
@@ -38,4 +46,35 @@ if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
gudhi_add_boost_test(Periodic_alpha_complex_3d_test_unit)
gudhi_add_boost_test(Weighted_periodic_alpha_complex_3d_test_unit)
-endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+endif (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+
+if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
+ add_executable ( Alpha_kernel_d_test_unit Alpha_kernel_d_unit_test.cpp )
+ target_link_libraries(Alpha_kernel_d_test_unit ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(Alpha_kernel_d_test_unit ${TBB_LIBRARIES})
+ endif()
+ gudhi_add_boost_test(Alpha_kernel_d_test_unit)
+
+ add_executable ( Weighted_alpha_complex_test_unit Weighted_alpha_complex_unit_test.cpp )
+ target_link_libraries(Weighted_alpha_complex_test_unit ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(Weighted_alpha_complex_test_unit ${TBB_LIBRARIES})
+ endif()
+ gudhi_add_boost_test(Weighted_alpha_complex_test_unit)
+
+ add_executable ( Weighted_alpha_complex_non_visible_points_test_unit Weighted_alpha_complex_non_visible_points_unit_test.cpp )
+ target_link_libraries(Weighted_alpha_complex_non_visible_points_test_unit ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(Weighted_alpha_complex_non_visible_points_test_unit ${TBB_LIBRARIES})
+ endif()
+ gudhi_add_boost_test(Weighted_alpha_complex_non_visible_points_test_unit)
+
+ add_executable ( Zero_weighted_alpha_complex_test_unit Zero_weighted_alpha_complex_unit_test.cpp )
+ target_link_libraries(Zero_weighted_alpha_complex_test_unit ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(Zero_weighted_alpha_complex_test_unit ${TBB_LIBRARIES})
+ endif()
+ gudhi_add_boost_test(Zero_weighted_alpha_complex_test_unit)
+
+endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
diff --git a/src/Alpha_complex/test/Weighted_alpha_complex_non_visible_points_unit_test.cpp b/src/Alpha_complex/test/Weighted_alpha_complex_non_visible_points_unit_test.cpp
new file mode 100644
index 00000000..dd83c1da
--- /dev/null
+++ b/src/Alpha_complex/test/Weighted_alpha_complex_non_visible_points_unit_test.cpp
@@ -0,0 +1,60 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "weighted_alpha_complex_non_visible_points"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Epick_d.h>
+#include <CGAL/Epeck_d.h>
+
+#include <vector>
+
+#include <gudhi/Alpha_complex.h>
+#include <gudhi/Simplex_tree.h>
+
+
+using list_of_1d_kernel_variants = boost::mpl::list<CGAL::Epeck_d< CGAL::Dynamic_dimension_tag >,
+ CGAL::Epeck_d< CGAL::Dimension_tag<1>>,
+ CGAL::Epick_d< CGAL::Dynamic_dimension_tag >,
+ CGAL::Epick_d< CGAL::Dimension_tag<1>>
+ >;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Weighted_alpha_complex_non_visible_points, Kernel, list_of_1d_kernel_variants) {
+ // check that for 2 closed weighted 1-d points, one with a high weight to hide the second one with a small weight,
+ // that the point with a small weight has the same high filtration value than the edge formed by the 2 points
+ using Point_d = typename Kernel::Point_d;
+ std::vector<Point_d> points;
+ std::vector<double> p1 {0.};
+ points.emplace_back(p1.begin(), p1.end());
+ // closed enough points
+ std::vector<double> p2 {0.1};
+ points.emplace_back(p2.begin(), p2.end());
+ std::vector<typename Kernel::FT> weights {100., 0.01};
+
+ Gudhi::alpha_complex::Alpha_complex<Kernel, true> alpha_complex(points, weights);
+ Gudhi::Simplex_tree<> stree;
+ BOOST_CHECK(alpha_complex.create_complex(stree));
+
+ std::clog << "Iterator on weighted alpha complex simplices in the filtration order, with [filtration value]:"
+ << std::endl;
+ for (auto f_simplex : stree.filtration_simplex_range()) {
+ std::clog << " ( ";
+ for (auto vertex : stree.simplex_vertex_range(f_simplex)) {
+ std::clog << vertex << " ";
+ }
+ std::clog << ") -> " << "[" << stree.filtration(f_simplex) << "] " << std::endl;
+ }
+
+ BOOST_CHECK(stree.filtration(stree.find({0})) == -100.);
+ BOOST_CHECK(stree.filtration(stree.find({1})) == stree.filtration(stree.find({0, 1})));
+ BOOST_CHECK(stree.filtration(stree.find({1})) > 100000);
+} \ No newline at end of file
diff --git a/src/Alpha_complex/test/Weighted_alpha_complex_unit_test.cpp b/src/Alpha_complex/test/Weighted_alpha_complex_unit_test.cpp
new file mode 100644
index 00000000..875704ee
--- /dev/null
+++ b/src/Alpha_complex/test/Weighted_alpha_complex_unit_test.cpp
@@ -0,0 +1,127 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "weighted_alpha_complex"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Epeck_d.h>
+
+#include <vector>
+#include <random>
+#include <array>
+#include <cmath> // for std::fabs
+
+#include <gudhi/Alpha_complex.h>
+#include <gudhi/Alpha_complex_3d.h>
+#include <gudhi/Simplex_tree.h>
+
+BOOST_AUTO_TEST_CASE(Weighted_alpha_complex_3d_comparison) {
+ // check that for random weighted 3d points in safe mode the 3D and dD codes give the same result with some tolerance
+
+ // Random points construction
+ using Kernel_dD = CGAL::Epeck_d< CGAL::Dimension_tag<3> >;
+ using Bare_point_d = typename Kernel_dD::Point_d;
+ using Weighted_point_d = typename Kernel_dD::Weighted_point_d;
+ std::vector<Weighted_point_d> w_points_d;
+
+ using Exact_weighted_alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, true, false>;
+ using Bare_point_3 = typename Exact_weighted_alpha_complex_3d::Bare_point_3;
+ using Weighted_point_3 = typename Exact_weighted_alpha_complex_3d::Weighted_point_3;
+ std::vector<Weighted_point_3> w_points_3;
+
+ std::uniform_real_distribution<double> rd_pts(-10., 10.);
+ std::uniform_real_distribution<double> rd_wghts(-0.5, 0.5);
+ std::random_device rand_dev;
+ std::mt19937 rand_engine(rand_dev());
+ for (int idx = 0; idx < 20; idx++) {
+ std::vector<double> point {rd_pts(rand_engine), rd_pts(rand_engine), rd_pts(rand_engine)};
+ double weight = rd_wghts(rand_engine);
+ w_points_d.emplace_back(Bare_point_d(point.begin(), point.end()), weight);
+ w_points_3.emplace_back(Bare_point_3(point[0], point[1], point[2]), weight);
+ }
+
+ // Structures necessary for comparison
+ using Points = std::vector<std::array<double,3>>;
+ using Points_and_filtrations = std::map<Points, double>;
+ Points_and_filtrations pts_fltr_dD;
+ Points_and_filtrations pts_fltr_3d;
+
+ // Weighted alpha complex for dD version
+ Gudhi::alpha_complex::Alpha_complex<Kernel_dD, true> alpha_complex_dD_from_weighted_points(w_points_d);
+ Gudhi::Simplex_tree<> w_simplex_d;
+ BOOST_CHECK(alpha_complex_dD_from_weighted_points.create_complex(w_simplex_d));
+
+ std::clog << "Iterator on weighted alpha complex dD simplices in the filtration order, with [filtration value]:"
+ << std::endl;
+ for (auto f_simplex : w_simplex_d.filtration_simplex_range()) {
+ Points points;
+ for (auto vertex : w_simplex_d.simplex_vertex_range(f_simplex)) {
+ CGAL::NT_converter<Kernel_dD::RT, double> cgal_converter;
+ Bare_point_d pt = alpha_complex_dD_from_weighted_points.get_point(vertex).point();
+ points.push_back({cgal_converter(pt[0]), cgal_converter(pt[1]), cgal_converter(pt[2])});
+ }
+ std::clog << " ( ";
+ std::sort (points.begin(), points.end());
+ for (auto point : points) {
+ std::clog << point[0] << " " << point[1] << " " << point[2] << " | ";
+ }
+ std::clog << ") -> " << "[" << w_simplex_d.filtration(f_simplex) << "] ";
+ std::clog << std::endl;
+ pts_fltr_dD[points] = w_simplex_d.filtration(f_simplex);
+ }
+
+ // Weighted alpha complex for 3D version
+ Exact_weighted_alpha_complex_3d alpha_complex_3D_from_weighted_points(w_points_3);
+ Gudhi::Simplex_tree<> w_simplex_3;
+ BOOST_CHECK(alpha_complex_3D_from_weighted_points.create_complex(w_simplex_3));
+
+ std::clog << "Iterator on weighted alpha complex 3D simplices in the filtration order, with [filtration value]:"
+ << std::endl;
+ for (auto f_simplex : w_simplex_3.filtration_simplex_range()) {
+ Points points;
+ for (auto vertex : w_simplex_3.simplex_vertex_range(f_simplex)) {
+ Bare_point_3 pt = alpha_complex_3D_from_weighted_points.get_point(vertex).point();
+ CGAL::NT_converter<Exact_weighted_alpha_complex_3d::Kernel::RT, double> cgal_converter;
+ points.push_back({cgal_converter(pt[0]), cgal_converter(pt[1]), cgal_converter(pt[2])});
+ }
+ std::clog << " ( ";
+ std::sort (points.begin(), points.end());
+ for (auto point : points) {
+ std::clog << point[0] << " " << point[1] << " " << point[2] << " | ";
+ }
+ std::clog << ") -> " << "[" << w_simplex_3.filtration(f_simplex) << "] " << std::endl;
+ pts_fltr_3d[points] = w_simplex_d.filtration(f_simplex);
+ }
+
+ // Compares structures
+ auto d3_itr = pts_fltr_3d.begin();
+ auto dD_itr = pts_fltr_dD.begin();
+ for (; d3_itr != pts_fltr_3d.end() && dD_itr != pts_fltr_dD.end(); ++d3_itr) {
+ if (d3_itr->first != dD_itr->first) {
+ for(auto point : d3_itr->first)
+ std::clog << point[0] << " " << point[1] << " " << point[2] << " | ";
+ std::clog << " versus ";
+ for(auto point : dD_itr->first)
+ std::clog << point[0] << " " << point[1] << " " << point[2] << " | ";
+ std::clog << std::endl;
+ BOOST_CHECK(false);
+ }
+ // In safe mode, relative error is less than 1e-5 (can be changed with set_relative_precision_of_to_double)
+ if (std::fabs(d3_itr->second - dD_itr->second) > 1e-5 * (std::fabs(d3_itr->second) + std::fabs(dD_itr->second))) {
+ std::clog << d3_itr->second << " versus " << dD_itr->second << " diff "
+ << std::fabs(d3_itr->second - dD_itr->second) << std::endl;
+ BOOST_CHECK(false);
+ }
+ ++dD_itr;
+ }
+} \ No newline at end of file
diff --git a/src/Alpha_complex/test/Zero_weighted_alpha_complex_unit_test.cpp b/src/Alpha_complex/test/Zero_weighted_alpha_complex_unit_test.cpp
new file mode 100644
index 00000000..b7df07c7
--- /dev/null
+++ b/src/Alpha_complex/test/Zero_weighted_alpha_complex_unit_test.cpp
@@ -0,0 +1,77 @@
+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#define BOOST_TEST_DYN_LINK
+#define BOOST_TEST_MODULE "zero_weighted_alpha_complex"
+#include <boost/test/unit_test.hpp>
+#include <boost/mpl/list.hpp>
+
+#include <CGAL/Epeck_d.h>
+
+#include <vector>
+#include <random>
+#include <cmath> // for std::fabs
+
+#include <gudhi/Alpha_complex.h>
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Unitary_tests_utils.h>
+
+using list_of_exact_kernel_variants = boost::mpl::list<CGAL::Epeck_d< CGAL::Dynamic_dimension_tag >,
+ CGAL::Epeck_d< CGAL::Dimension_tag<4> >
+ > ;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(Zero_weighted_alpha_complex, Kernel, list_of_exact_kernel_variants) {
+ // Check that in exact mode for static dimension 4 the code for dD unweighted and for dD weighted with all weights
+ // 0 give exactly the same simplex tree (simplices and filtration values).
+
+ // Random points construction
+ using Point_d = typename Kernel::Point_d;
+ std::vector<Point_d> points;
+ std::uniform_real_distribution<double> rd_pts(-10., 10.);
+ std::random_device rand_dev;
+ std::mt19937 rand_engine(rand_dev());
+ for (int idx = 0; idx < 20; idx++) {
+ std::vector<double> point {rd_pts(rand_engine), rd_pts(rand_engine), rd_pts(rand_engine), rd_pts(rand_engine)};
+ points.emplace_back(point.begin(), point.end());
+ }
+
+ // Alpha complex from points
+ Gudhi::alpha_complex::Alpha_complex<Kernel, false> alpha_complex_from_points(points);
+ Gudhi::Simplex_tree<> simplex;
+ Gudhi::Simplex_tree<>::Filtration_value infty = std::numeric_limits<Gudhi::Simplex_tree<>::Filtration_value>::infinity();
+ BOOST_CHECK(alpha_complex_from_points.create_complex(simplex, infty, true));
+ std::clog << "Iterator on alpha complex simplices in the filtration order, with [filtration value]:"
+ << std::endl;
+ for (auto f_simplex : simplex.filtration_simplex_range()) {
+ std::clog << " ( ";
+ for (auto vertex : simplex.simplex_vertex_range(f_simplex)) {
+ std::clog << vertex << " ";
+ }
+ std::clog << ") -> " << "[" << simplex.filtration(f_simplex) << "] " << std::endl;
+ }
+
+ // Alpha complex from zero weighted points
+ std::vector<typename Kernel::FT> weights(20, 0.);
+ Gudhi::alpha_complex::Alpha_complex<Kernel, true> alpha_complex_from_zero_weighted_points(points, weights);
+ Gudhi::Simplex_tree<> zw_simplex;
+ BOOST_CHECK(alpha_complex_from_zero_weighted_points.create_complex(zw_simplex, infty, true));
+
+ std::clog << "Iterator on zero weighted alpha complex simplices in the filtration order, with [filtration value]:"
+ << std::endl;
+ for (auto f_simplex : zw_simplex.filtration_simplex_range()) {
+ std::clog << " ( ";
+ for (auto vertex : zw_simplex.simplex_vertex_range(f_simplex)) {
+ std::clog << vertex << " ";
+ }
+ std::clog << ") -> " << "[" << zw_simplex.filtration(f_simplex) << "] " << std::endl;
+ }
+
+ BOOST_CHECK(zw_simplex == simplex);
+} \ No newline at end of file
diff --git a/src/Alpha_complex/utilities/CMakeLists.txt b/src/Alpha_complex/utilities/CMakeLists.txt
index 2ffbdde0..303bd0a6 100644
--- a/src/Alpha_complex/utilities/CMakeLists.txt
+++ b/src/Alpha_complex/utilities/CMakeLists.txt
@@ -1,78 +1,82 @@
project(Alpha_complex_utilities)
-if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
- add_executable (alpha_complex_persistence alpha_complex_persistence.cpp)
- target_link_libraries(alpha_complex_persistence ${CGAL_LIBRARY} Boost::program_options)
+if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
+ if (TARGET Boost::program_options)
+ add_executable (alpha_complex_persistence alpha_complex_persistence.cpp)
+ target_link_libraries(alpha_complex_persistence ${CGAL_LIBRARY} Boost::program_options)
- if (TBB_FOUND)
- target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES})
- endif(TBB_FOUND)
- add_test(NAME Alpha_complex_utilities_safe_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "safe.pers")
- add_test(NAME Alpha_complex_utilities_fast_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "fast.pers" "-f")
- add_test(NAME Alpha_complex_utilities_exact_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "exact.pers" "-e")
- if (DIFF_PATH)
- add_test(Alpha_complex_utilities_diff_exact_alpha_complex ${DIFF_PATH}
- "exact.pers" "safe.pers")
- set_tests_properties(Alpha_complex_utilities_diff_exact_alpha_complex PROPERTIES DEPENDS
- "Alpha_complex_utilities_exact_alpha_complex_persistence;Alpha_complex_utilities_safe_alpha_complex_persistence")
-
- add_test(Alpha_complex_utilities_diff_fast_alpha_complex ${DIFF_PATH}
- "fast.pers" "safe.pers")
- set_tests_properties(Alpha_complex_utilities_diff_fast_alpha_complex PROPERTIES DEPENDS
- "Alpha_complex_utilities_fast_alpha_complex_persistence;Alpha_complex_utilities_safe_alpha_complex_persistence")
+ if (TBB_FOUND)
+ target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES})
+ endif(TBB_FOUND)
+ add_test(NAME Alpha_complex_utilities_safe_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "safe.pers")
+ add_test(NAME Alpha_complex_utilities_fast_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "fast.pers" "-f")
+ add_test(NAME Alpha_complex_utilities_exact_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45" "-o" "exact.pers" "-e")
+ if (DIFF_PATH)
+ add_test(Alpha_complex_utilities_diff_exact_alpha_complex ${DIFF_PATH}
+ "exact.pers" "safe.pers")
+ set_tests_properties(Alpha_complex_utilities_diff_exact_alpha_complex PROPERTIES DEPENDS
+ "Alpha_complex_utilities_exact_alpha_complex_persistence;Alpha_complex_utilities_safe_alpha_complex_persistence")
- endif()
-
- install(TARGETS alpha_complex_persistence DESTINATION bin)
+ add_test(Alpha_complex_utilities_diff_fast_alpha_complex ${DIFF_PATH}
+ "fast.pers" "safe.pers")
+ set_tests_properties(Alpha_complex_utilities_diff_fast_alpha_complex PROPERTIES DEPENDS
+ "Alpha_complex_utilities_fast_alpha_complex_persistence;Alpha_complex_utilities_safe_alpha_complex_persistence")
+ endif()
- add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp)
- target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY} Boost::program_options)
- if (TBB_FOUND)
- target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES})
- endif(TBB_FOUND)
+ install(TARGETS alpha_complex_persistence DESTINATION bin)
+ endif()
+endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 5.1.0)
- add_test(NAME Alpha_complex_utilities_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
- "-p" "2" "-m" "0.45" "-o" "safe_3d.pers")
+if (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+ if (TARGET Boost::program_options)
+ add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp)
+ target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY} Boost::program_options)
+ if (TBB_FOUND)
+ target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES})
+ endif(TBB_FOUND)
- add_test(NAME Alpha_complex_utilities_exact_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
- "-p" "2" "-m" "0.45" "-o" "exact_3d.pers" "-e")
+ add_test(NAME Alpha_complex_utilities_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "safe_3d.pers")
- add_test(NAME Alpha_complex_utilities_fast_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
- "-p" "2" "-m" "0.45" "-o" "fast_3d.pers" "-f")
+ add_test(NAME Alpha_complex_utilities_exact_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "exact_3d.pers" "-e")
- if (DIFF_PATH)
- add_test(Alpha_complex_utilities_diff_exact_alpha_complex_3d ${DIFF_PATH}
- "exact_3d.pers" "safe_3d.pers")
- set_tests_properties(Alpha_complex_utilities_diff_exact_alpha_complex_3d PROPERTIES DEPENDS
- "Alpha_complex_utilities_exact_alpha_complex_3d;Alpha_complex_utilities_alpha_complex_3d")
- add_test(Alpha_complex_utilities_diff_fast_alpha_complex_3d ${DIFF_PATH}
- "fast_3d.pers" "safe_3d.pers")
- set_tests_properties(Alpha_complex_utilities_diff_fast_alpha_complex_3d PROPERTIES DEPENDS
- "Alpha_complex_utilities_fast_alpha_complex_3d;Alpha_complex_utilities_alpha_complex_3d")
- endif()
+ add_test(NAME Alpha_complex_utilities_fast_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "fast_3d.pers" "-f")
- add_test(NAME Alpha_complex_utilities_periodic_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
- "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
- "-p" "2" "-m" "0")
+ if (DIFF_PATH)
+ add_test(Alpha_complex_utilities_diff_exact_alpha_complex_3d ${DIFF_PATH}
+ "exact_3d.pers" "safe_3d.pers")
+ set_tests_properties(Alpha_complex_utilities_diff_exact_alpha_complex_3d PROPERTIES DEPENDS
+ "Alpha_complex_utilities_exact_alpha_complex_3d;Alpha_complex_utilities_alpha_complex_3d")
+ add_test(Alpha_complex_utilities_diff_fast_alpha_complex_3d ${DIFF_PATH}
+ "fast_3d.pers" "safe_3d.pers")
+ set_tests_properties(Alpha_complex_utilities_diff_fast_alpha_complex_3d PROPERTIES DEPENDS
+ "Alpha_complex_utilities_fast_alpha_complex_3d;Alpha_complex_utilities_alpha_complex_3d")
+ endif()
- add_test(NAME Alpha_complex_utilities_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
- "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
- "-p" "2" "-m" "0")
+ add_test(NAME Alpha_complex_utilities_periodic_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
+ "-p" "2" "-m" "0")
- add_test(NAME Alpha_complex_utilities_weighted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
- "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
- "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
- "-p" "2" "-m" "0" "-e")
+ add_test(NAME Alpha_complex_utilities_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
+ "-p" "2" "-m" "0")
- install(TARGETS alpha_complex_3d_persistence DESTINATION bin)
-
-endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+ add_test(NAME Alpha_complex_utilities_weighted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
+ "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
+ "-p" "2" "-m" "0" "-e")
+
+ install(TARGETS alpha_complex_3d_persistence DESTINATION bin)
+ endif()
+endif (NOT CGAL_VERSION VERSION_LESS 4.11.0)
diff --git a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
index 91899040..e65d8c6f 100644
--- a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
@@ -263,7 +263,7 @@ void program_options(int argc, char *argv[], std::string &off_file_points, bool
"cuboid-file,c", po::value<std::string>(&cuboid_file),
"Name of file describing the periodic domain. Format is:\n min_hx min_hy min_hz\n max_hx max_hy max_hz")(
"output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::clog")(
+ "Name of file in which the persistence diagram is written. Default print in standard output")(
"max-alpha-square-value,r",
po::value<Filtration_value>(&alpha_square_max_value)
->default_value(std::numeric_limits<Filtration_value>::infinity()),
diff --git a/src/Alpha_complex/utilities/alpha_complex_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_persistence.cpp
index 7c898dfd..29edbd8e 100644
--- a/src/Alpha_complex/utilities/alpha_complex_persistence.cpp
+++ b/src/Alpha_complex/utilities/alpha_complex_persistence.cpp
@@ -11,24 +11,88 @@
#include <boost/program_options.hpp>
#include <CGAL/Epick_d.h>
+#include <CGAL/Epeck_d.h>
#include <gudhi/Alpha_complex.h>
#include <gudhi/Persistent_cohomology.h>
// to construct a simplex_tree from alpha complex
#include <gudhi/Simplex_tree.h>
+#include <gudhi/Points_off_io.h>
#include <iostream>
#include <string>
#include <limits> // for numeric_limits
+#include <vector>
+#include <fstream>
using Simplex_tree = Gudhi::Simplex_tree<>;
using Filtration_value = Simplex_tree::Filtration_value;
void program_options(int argc, char *argv[], std::string &off_file_points, bool &exact, bool &fast,
- std::string &output_file_diag, Filtration_value &alpha_square_max_value,
+ std::string &weight_file, std::string &output_file_diag, Filtration_value &alpha_square_max_value,
int &coeff_field_characteristic, Filtration_value &min_persistence);
+template<class Point_d>
+std::vector<Point_d> read_off(const std::string &off_file_points) {
+ Gudhi::Points_off_reader<Point_d> off_reader(off_file_points);
+ if (!off_reader.is_valid()) {
+ std::cerr << "Alpha_complex - Unable to read file " << off_file_points << "\n";
+ exit(-1); // ----- >>
+ }
+ return off_reader.get_point_cloud();
+}
+
+std::vector<double> read_weight_file(const std::string &weight_file) {
+ std::vector<double> weights;
+ // Read weights information from file
+ std::ifstream weights_ifstr(weight_file);
+ if (weights_ifstr.good()) {
+ double weight = 0.0;
+ // Attempt read the weight in a double format, return false if it fails
+ while (weights_ifstr >> weight) {
+ weights.push_back(weight);
+ }
+ } else {
+ std::cerr << "Unable to read weights file " << weight_file << std::endl;
+ exit(-1);
+ }
+ return weights;
+}
+
+template<class Kernel>
+Simplex_tree create_simplex_tree(const std::string &off_file_points, const std::string &weight_file,
+ bool exact_version, Filtration_value alpha_square_max_value) {
+ Simplex_tree stree;
+ auto points = read_off<typename Kernel::Point_d>(off_file_points);
+
+ if (weight_file != std::string()) {
+ std::vector<double> weights = read_weight_file(weight_file);
+ if (points.size() != weights.size()) {
+ std::cerr << "Alpha_complex - Inconsistency between number of points (" << points.size()
+ << ") and number of weights (" << weights.size() << ")" << "\n";
+ exit(-1); // ----- >>
+ }
+ // Init of an alpha complex from an OFF file
+ Gudhi::alpha_complex::Alpha_complex<Kernel, true> alpha_complex_from_file(points, weights);
+
+ if (!alpha_complex_from_file.create_complex(stree, alpha_square_max_value, exact_version)) {
+ std::cerr << "Alpha complex simplicial complex creation failed." << std::endl;
+ exit(-1);
+ }
+ } else {
+ // Init of an alpha complex from an OFF file
+ Gudhi::alpha_complex::Alpha_complex<Kernel> alpha_complex_from_file(points);
+
+ if (!alpha_complex_from_file.create_complex(stree, alpha_square_max_value, exact_version)) {
+ std::cerr << "Alpha complex simplicial complex creation failed." << std::endl;
+ exit(-1);
+ }
+ }
+ return stree;
+}
+
int main(int argc, char **argv) {
+ std::string weight_file;
std::string off_file_points;
std::string output_file_diag;
bool exact_version = false;
@@ -37,48 +101,34 @@ int main(int argc, char **argv) {
int coeff_field_characteristic;
Filtration_value min_persistence;
- program_options(argc, argv, off_file_points, exact_version, fast_version, output_file_diag, alpha_square_max_value,
- coeff_field_characteristic, min_persistence);
+ program_options(argc, argv, off_file_points, exact_version, fast_version, weight_file, output_file_diag,
+ alpha_square_max_value, coeff_field_characteristic, min_persistence);
if ((exact_version) && (fast_version)) {
std::cerr << "You cannot set the exact and the fast version." << std::endl;
exit(-1);
}
- Simplex_tree simplex;
+ Simplex_tree stree;
if (fast_version) {
// WARNING : CGAL::Epick_d is fast but not safe (unlike CGAL::Epeck_d)
// (i.e. when the points are on a grid)
using Fast_kernel = CGAL::Epick_d<CGAL::Dynamic_dimension_tag>;
-
- // Init of an alpha complex from an OFF file
- Gudhi::alpha_complex::Alpha_complex<Fast_kernel> alpha_complex_from_file(off_file_points);
-
- if (!alpha_complex_from_file.create_complex(simplex, alpha_square_max_value)) {
- std::cerr << "Fast Alpha complex simplicial complex creation failed." << std::endl;
- exit(-1);
- }
+ stree = create_simplex_tree<Fast_kernel>(off_file_points, weight_file, exact_version, alpha_square_max_value);
} else {
using Kernel = CGAL::Epeck_d<CGAL::Dynamic_dimension_tag>;
-
- // Init of an alpha complex from an OFF file
- Gudhi::alpha_complex::Alpha_complex<Kernel> alpha_complex_from_file(off_file_points);
-
- if (!alpha_complex_from_file.create_complex(simplex, alpha_square_max_value, exact_version)) {
- std::cerr << "Alpha complex simplicial complex creation failed." << std::endl;
- exit(-1);
- }
+ stree = create_simplex_tree<Kernel>(off_file_points, weight_file, exact_version, alpha_square_max_value);
}
// ----------------------------------------------------------------------------
// Display information about the alpha complex
// ----------------------------------------------------------------------------
- std::clog << "Simplicial complex is of dimension " << simplex.dimension() << " - " << simplex.num_simplices()
- << " simplices - " << simplex.num_vertices() << " vertices." << std::endl;
+ std::clog << "Simplicial complex is of dimension " << stree.dimension() << " - " << stree.num_simplices()
+ << " simplices - " << stree.num_vertices() << " vertices." << std::endl;
- std::clog << "Simplex_tree dim: " << simplex.dimension() << std::endl;
+ std::clog << "Simplex_tree dim: " << stree.dimension() << std::endl;
// Compute the persistence diagram of the complex
Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Gudhi::persistent_cohomology::Field_Zp> pcoh(
- simplex);
+ stree);
// initializes the coefficient field for homology
pcoh.init_coefficients(coeff_field_characteristic);
@@ -97,7 +147,7 @@ int main(int argc, char **argv) {
}
void program_options(int argc, char *argv[], std::string &off_file_points, bool &exact, bool &fast,
- std::string &output_file_diag, Filtration_value &alpha_square_max_value,
+ std::string &weight_file, std::string &output_file_diag, Filtration_value &alpha_square_max_value,
int &coeff_field_characteristic, Filtration_value &min_persistence) {
namespace po = boost::program_options;
po::options_description hidden("Hidden options");
@@ -110,8 +160,10 @@ void program_options(int argc, char *argv[], std::string &off_file_points, bool
"To activate exact version of Alpha complex (default is false, not available if fast is set)")(
"fast,f", po::bool_switch(&fast),
"To activate fast version of Alpha complex (default is false, not available if exact is set)")(
+ "weight-file,w", po::value<std::string>(&weight_file)->default_value(std::string()),
+ "Name of file containing a point weights. Format is one weight per line:\n W1\n ...\n Wn ")(
"output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::clog")(
+ "Name of file in which the persistence diagram is written. Default print in standard output")(
"max-alpha-square-value,r", po::value<Filtration_value>(&alpha_square_max_value)
->default_value(std::numeric_limits<Filtration_value>::infinity()),
"Maximal alpha square value for the Alpha complex construction.")(
diff --git a/src/Alpha_complex/utilities/alphacomplex.md b/src/Alpha_complex/utilities/alphacomplex.md
index 527598a9..1e3b8fab 100644
--- a/src/Alpha_complex/utilities/alphacomplex.md
+++ b/src/Alpha_complex/utilities/alphacomplex.md
@@ -46,6 +46,9 @@ for the Alpha complex construction.
coefficient field Z/pZ for computing homology.
* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature
to be recorded. Enter a negative value to see zero length intervals.
+* `-w [ --weight-file ]` is the path to the file containing the weights of the
+points (one value per line).
+Default version is not weighted.
* `-e [ --exact ]` for the exact computation version.
* `-f [ --fast ]` for the fast computation version.
@@ -58,6 +61,10 @@ to be recorded. Enter a negative value to see zero length intervals.
N.B.:
* Filtration values are alpha square values.
+* Weights values are explained on CGAL
+[dD Triangulations](https://doc.cgal.org/latest/Triangulation/index.html)
+and
+[Regular triangulation](https://doc.cgal.org/latest/Triangulation/index.html#TriangulationSecRT) documentation.
## alpha_complex_3d_persistence ##
@@ -124,6 +131,6 @@ N.B.:
* `alpha_complex_3d_persistence` only accepts OFF files in dimension 3.
* Filtration values are alpha square values.
* Weights values are explained on CGAL
-[Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0)
+[Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#Alpha_shapes_3Definitions)
and
[Regular triangulation](https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation) documentation.