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-rw-r--r--src/Spatial_searching/doc/Intro_spatial_searching.h2
-rw-r--r--src/Spatial_searching/example/CMakeLists.txt1
-rw-r--r--src/Spatial_searching/example/example_spatial_searching.cpp24
-rw-r--r--src/Spatial_searching/include/gudhi/Kd_tree_search.h98
-rw-r--r--src/Spatial_searching/test/test_Kd_tree_search.cpp4
5 files changed, 107 insertions, 22 deletions
diff --git a/src/Spatial_searching/doc/Intro_spatial_searching.h b/src/Spatial_searching/doc/Intro_spatial_searching.h
index 30805570..81c5a3aa 100644
--- a/src/Spatial_searching/doc/Intro_spatial_searching.h
+++ b/src/Spatial_searching/doc/Intro_spatial_searching.h
@@ -36,7 +36,7 @@ namespace spatial_searching {
*
* This example generates 500 random points, then performs all-near-neighbors searches, and queries for nearest and furthest neighbors using different methods.
*
- * \include Spatial_searching/example_spatial_searching.cpp
+ * \include example_spatial_searching.cpp
*
*/
/** @} */ // end defgroup spatial_searching
diff --git a/src/Spatial_searching/example/CMakeLists.txt b/src/Spatial_searching/example/CMakeLists.txt
index eeb3e85f..308afa00 100644
--- a/src/Spatial_searching/example/CMakeLists.txt
+++ b/src/Spatial_searching/example/CMakeLists.txt
@@ -5,5 +5,4 @@ if(NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
target_link_libraries(Spatial_searching_example_spatial_searching ${CGAL_LIBRARY})
add_test(NAME Spatial_searching_example_spatial_searching
COMMAND $<TARGET_FILE:Spatial_searching_example_spatial_searching>)
- install(TARGETS Spatial_searching_example_spatial_searching DESTINATION bin)
endif(NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
diff --git a/src/Spatial_searching/example/example_spatial_searching.cpp b/src/Spatial_searching/example/example_spatial_searching.cpp
index 034ad24a..09c2dabf 100644
--- a/src/Spatial_searching/example/example_spatial_searching.cpp
+++ b/src/Spatial_searching/example/example_spatial_searching.cpp
@@ -23,38 +23,38 @@ int main(void) {
Points_ds points_ds(points);
// 10-nearest neighbor query
- std::cout << "10 nearest neighbors from points[20]:\n";
+ std::clog << "10 nearest neighbors from points[20]:\n";
auto knn_range = points_ds.k_nearest_neighbors(points[20], 10, true);
- for (auto const& nghb : knn_range)
- std::cout << nghb.first << " (sq. dist. = " << nghb.second << ")\n";
+ for (auto const nghb : knn_range)
+ std::clog << nghb.first << " (sq. dist. = " << nghb.second << ")\n";
// Incremental nearest neighbor query
- std::cout << "Incremental nearest neighbors:\n";
+ std::clog << "Incremental nearest neighbors:\n";
auto inn_range = points_ds.incremental_nearest_neighbors(points[45]);
// Get the neighbors in distance order until we hit the first point
for (auto ins_iterator = inn_range.begin(); ins_iterator->first != 0; ++ins_iterator)
- std::cout << ins_iterator->first << " (sq. dist. = " << ins_iterator->second << ")\n";
+ std::clog << ins_iterator->first << " (sq. dist. = " << ins_iterator->second << ")\n";
// 10-furthest neighbor query
- std::cout << "10 furthest neighbors from points[20]:\n";
+ std::clog << "10 furthest neighbors from points[20]:\n";
auto kfn_range = points_ds.k_furthest_neighbors(points[20], 10, true);
- for (auto const& nghb : kfn_range)
- std::cout << nghb.first << " (sq. dist. = " << nghb.second << ")\n";
+ for (auto const nghb : kfn_range)
+ std::clog << nghb.first << " (sq. dist. = " << nghb.second << ")\n";
// Incremental furthest neighbor query
- std::cout << "Incremental furthest neighbors:\n";
+ std::clog << "Incremental furthest neighbors:\n";
auto ifn_range = points_ds.incremental_furthest_neighbors(points[45]);
// Get the neighbors in distance reverse order until we hit the first point
for (auto ifs_iterator = ifn_range.begin(); ifs_iterator->first != 0; ++ifs_iterator)
- std::cout << ifs_iterator->first << " (sq. dist. = " << ifs_iterator->second << ")\n";
+ std::clog << ifs_iterator->first << " (sq. dist. = " << ifs_iterator->second << ")\n";
// All-near-neighbors search
- std::cout << "All-near-neighbors search:\n";
+ std::clog << "All-near-neighbors search:\n";
std::vector<std::size_t> rs_result;
points_ds.all_near_neighbors(points[45], 0.5, std::back_inserter(rs_result));
K k;
for (auto const& p_idx : rs_result)
- std::cout << p_idx << " (sq. dist. = " << k.squared_distance_d_object()(points[p_idx], points[45]) << ")\n";
+ std::clog << p_idx << " (sq. dist. = " << k.squared_distance_d_object()(points[p_idx], points[45]) << ")\n";
return 0;
}
diff --git a/src/Spatial_searching/include/gudhi/Kd_tree_search.h b/src/Spatial_searching/include/gudhi/Kd_tree_search.h
index 87969dd9..6fb611f2 100644
--- a/src/Spatial_searching/include/gudhi/Kd_tree_search.h
+++ b/src/Spatial_searching/include/gudhi/Kd_tree_search.h
@@ -12,11 +12,12 @@
#ifndef KD_TREE_SEARCH_H_
#define KD_TREE_SEARCH_H_
+#include <gudhi/Debug_utils.h>
+
#include <CGAL/Orthogonal_k_neighbor_search.h>
#include <CGAL/Orthogonal_incremental_neighbor_search.h>
#include <CGAL/Search_traits.h>
#include <CGAL/Search_traits_adapter.h>
-#include <CGAL/Fuzzy_sphere.h>
#include <CGAL/property_map.h>
#include <CGAL/version.h> // for CGAL_VERSION_NR
@@ -40,7 +41,6 @@
namespace Gudhi {
namespace spatial_searching {
-
/**
* \class Kd_tree_search Kd_tree_search.h gudhi/Kd_tree_search.h
* \brief Spatial tree data structure to perform (approximate) nearest and furthest neighbor search.
@@ -83,7 +83,8 @@ class Kd_tree_search {
typedef CGAL::Search_traits<
FT, Point,
typename Traits::Cartesian_const_iterator_d,
- typename Traits::Construct_cartesian_const_iterator_d> Traits_base;
+ typename Traits::Construct_cartesian_const_iterator_d,
+ typename Traits::Dimension> Traits_base;
typedef CGAL::Search_traits_adapter<
std::ptrdiff_t,
@@ -110,7 +111,76 @@ class Kd_tree_search {
/// of a point P and `second` is the squared distance between P and the query point.
typedef Incremental_neighbor_search INS_range;
- typedef CGAL::Fuzzy_sphere<STraits> Fuzzy_sphere;
+ // Because CGAL::Fuzzy_sphere takes the radius and not its square
+ struct Sphere_for_kdtree_search
+ {
+ typedef typename Traits::Point_d Point_d;
+ typedef typename Traits::FT FT;
+ typedef typename Traits::Dimension D;
+ typedef D Dimension;
+
+ private:
+ STraits traits;
+ Point_d c;
+ FT sqradmin, sqradmax;
+ bool use_max;
+
+ public:
+ // `prefer_max` means that we prefer outputting more points at squared distance between r2min and r2max,
+ // while `!prefer_max` means we prefer fewer.
+ Sphere_for_kdtree_search(Point_d const& c_, FT const& r2min, FT const& r2max, bool prefer_max=true, STraits const& traits_ = {})
+ : traits(traits_), c(c_), sqradmin(r2min), sqradmax(r2max), use_max(prefer_max)
+ { GUDHI_CHECK(r2min >= 0 && r2max >= r2min, "0 <= r2min <= r2max"); }
+
+ bool contains(std::ptrdiff_t i) const {
+ const Point_d& p = get(traits.point_property_map(), i);
+ auto ccci = traits.construct_cartesian_const_iterator_d_object();
+ return contains_point_given_as_coordinates(ccci(p), ccci(p, 0));
+ }
+
+ template <typename Coord_iterator>
+ bool contains_point_given_as_coordinates(Coord_iterator pi, Coord_iterator) const {
+ FT distance = 0;
+ auto ccci = traits.construct_cartesian_const_iterator_d_object();
+ auto ci = ccci(c);
+ auto ce = ccci(c, 0);
+ FT const& limit = use_max ? sqradmax : sqradmin;
+ while (ci != ce) {
+ distance += CGAL::square(*pi++ - *ci++);
+ // I think Clément advised to check the distance at every step instead of
+ // just at the end, especially when the dimension becomes large. Distance
+ // isn't part of the concept anyway.
+ if (distance > limit) return false;
+ }
+ return true;
+ }
+
+ bool inner_range_intersects(CGAL::Kd_tree_rectangle<FT, D> const& rect) const {
+ auto ccci = traits.construct_cartesian_const_iterator_d_object();
+ FT distance = 0;
+ auto ci = ccci(c);
+ auto ce = ccci(c, 0);
+ for (int i = 0; ci != ce; ++i, ++ci) {
+ distance += CGAL::square(CGAL::max<FT>(CGAL::max<FT>(*ci - rect.max_coord(i), rect.min_coord(i) - *ci), 0 ));
+ if (distance > sqradmin) return false;
+ }
+ return true;
+ }
+
+
+ bool outer_range_contains(CGAL::Kd_tree_rectangle<FT, D> const& rect) const {
+ auto ccci = traits.construct_cartesian_const_iterator_d_object();
+ FT distance = 0;
+ auto ci = ccci(c);
+ auto ce = ccci(c, 0);
+ for (int i = 0; ci != ce; ++i, ++ci) {
+ distance += CGAL::square(CGAL::max<FT>(*ci - rect.min_coord(i), rect.max_coord(i) - *ci));
+ if (distance > sqradmax) return false;
+ }
+ return true;
+ }
+ };
+
/// \brief Constructor
/// @param[in] points Const reference to the point range. This range
/// is not copied, so it should not be destroyed or modified afterwards.
@@ -266,10 +336,26 @@ class Kd_tree_search {
/// @param[in] eps Approximation factor.
template <typename OutputIterator>
void all_near_neighbors(Point const& p,
- FT radius,
+ FT const& radius,
OutputIterator it,
FT eps = FT(0)) const {
- m_tree.search(it, Fuzzy_sphere(p, radius, eps, m_tree.traits()));
+ all_near_neighbors2(p, CGAL::square(radius - eps), CGAL::square(radius + eps), it);
+ }
+
+ /// \brief Search for all the neighbors in a ball. This is similar to `all_near_neighbors` but takes directly
+ /// the square of the minimum distance below which points must be considered neighbors and square of the
+ /// maximum distance above which they cannot be.
+ /// @param[in] p The query point.
+ /// @param[in] sq_radius_min The square of the minimum search radius
+ /// @param[in] sq_radius_max The square of the maximum search radius
+ /// @param[out] it The points that lie inside the sphere of center `p` and squared radius `sq_radius`.
+ /// Note: `it` is used this way: `*it++ = each_point`.
+ template <typename OutputIterator>
+ void all_near_neighbors2(Point const& p,
+ FT const& sq_radius_min,
+ FT const& sq_radius_max,
+ OutputIterator it) const {
+ m_tree.search(it, Sphere_for_kdtree_search(p, sq_radius_min, sq_radius_max, true, m_tree.traits()));
}
int tree_depth() const {
diff --git a/src/Spatial_searching/test/test_Kd_tree_search.cpp b/src/Spatial_searching/test/test_Kd_tree_search.cpp
index d6c6fba3..e9acfaa7 100644
--- a/src/Spatial_searching/test/test_Kd_tree_search.cpp
+++ b/src/Spatial_searching/test/test_Kd_tree_search.cpp
@@ -45,7 +45,7 @@ BOOST_AUTO_TEST_CASE(test_Kd_tree_search) {
std::vector<std::size_t> knn_result;
FT last_dist = -1.;
- for (auto const& nghb : kns_range) {
+ for (auto const nghb : kns_range) {
BOOST_CHECK(nghb.second > last_dist);
knn_result.push_back(nghb.second);
last_dist = nghb.second;
@@ -76,7 +76,7 @@ BOOST_AUTO_TEST_CASE(test_Kd_tree_search) {
std::vector<std::size_t> kfn_result;
last_dist = kfn_range.begin()->second;
- for (auto const& nghb : kfn_range) {
+ for (auto const nghb : kfn_range) {
BOOST_CHECK(nghb.second <= last_dist);
kfn_result.push_back(nghb.second);
last_dist = nghb.second;