diff --git a/.gitignore b/.gitignore index 95de0b03ae9..07f7e4fc0a8 100644 --- a/.gitignore +++ b/.gitignore @@ -1,5 +1,7 @@ /*build* /*/*/*/build +/*/*/*/VC* +/*/*/*/GCC AABB_tree/demo/AABB_tree/AABB_demo AABB_tree/demo/AABB_tree/Makefile AABB_tree/examples/AABB_tree/*.kdev* diff --git a/Installation/CHANGES.md b/Installation/CHANGES.md index b6349d3c761..5f7d25a9e1b 100644 --- a/Installation/CHANGES.md +++ b/Installation/CHANGES.md @@ -4,6 +4,13 @@ Release History [Release 5.2](https://github.com/CGAL/cgal/releases/tag/v5.2) ----------- +### [3D Triangulations](https://doc.cgal.org/5.2/Manual/packages.html#PkgTriangulation3) + - Add `Segment_cell_iterator` to iterate over cells intersected by a line segment. + - Add `Segment_simplex_iterator` to iterate over simplices intersected by a line segment. + +[Release 5.1](https://github.com/CGAL/cgal/releases/tag/releases%2FCGAL-5.1) +----------- + Release date: December 2020 ### [CGAL and the Boost Graph Library (BGL)](https://doc.cgal.org/5.2/Manual/packages.html#PkgBGL) diff --git a/STL_Extension/include/CGAL/internal/boost/array_binary_tree.hpp b/STL_Extension/include/CGAL/internal/boost/array_binary_tree.hpp index aa095cdbf9b..dba4dc93fb8 100644 --- a/STL_Extension/include/CGAL/internal/boost/array_binary_tree.hpp +++ b/STL_Extension/include/CGAL/internal/boost/array_binary_tree.hpp @@ -23,6 +23,7 @@ #include #include +#include #include diff --git a/Triangulation_3/benchmark/Triangulation_3/CMakeLists.txt b/Triangulation_3/benchmark/Triangulation_3/CMakeLists.txt index 4d0c7c1c778..1f78a30b561 100644 --- a/Triangulation_3/benchmark/Triangulation_3/CMakeLists.txt +++ b/Triangulation_3/benchmark/Triangulation_3/CMakeLists.txt @@ -45,6 +45,8 @@ create_single_source_cgal_program( "simple.cpp" ) create_single_source_cgal_program( "Triangulation_benchmark_3.cpp" ) +create_single_source_cgal_program( "segment_traverser_benchmark.cpp" ) + find_package(benchmark) if(TARGET benchmark::benchmark) diff --git a/Triangulation_3/benchmark/Triangulation_3/segment_traverser_benchmark.cpp b/Triangulation_3/benchmark/Triangulation_3/segment_traverser_benchmark.cpp new file mode 100644 index 00000000000..2839ea5e00b --- /dev/null +++ b/Triangulation_3/benchmark/Triangulation_3/segment_traverser_benchmark.cpp @@ -0,0 +1,131 @@ +// Copyright (c) 2019 GeometryFactory (France). +// All rights reserved. +// +// This file is part of CGAL (www.cgal.org). +// You can redistribute it and/or modify it under the terms of the GNU +// General Public License as published by the Free Software Foundation, +// either version 3 of the License, or (at your option) any later version. +// +// Licensees holding a valid commercial license may use this file in +// accordance with the commercial license agreement provided with the software. +// +// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE +// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. +// +// $URL$ +// $Id$ +// +// + +#include +#include + +#include +#include + +#include +#include + +#include +#include + +// Define the kernel. +typedef CGAL::Exact_predicates_exact_constructions_kernel Epeck; +typedef CGAL::Exact_predicates_inexact_constructions_kernel Epick; + + +template +void bench_segment_traverser(const int nb_queries, + const int nbv, + const double rad, + CGAL::Random& rng) +{ + typedef CGAL::Delaunay_triangulation_3 DT; + typedef CGAL::Triangulation_segment_simplex_iterator_3
Simplex_traverser; + typedef CGAL::Triangulation_segment_cell_iterator_3
Cell_traverser; + typedef typename DT::Point_3 Point_3; + typedef typename DT::Cell Cell; + + std::cout << "\nBench :\t " << nb_queries << " queries," << std::endl + << "\t in triangulation of size " << nbv << std::endl + << "\t lying in the sphere (-" << rad << "; " << rad << ")" << std::endl + << "\t and Kernel : " << typeid(Kernel()).name() << std::endl; + + // Collect random points to build a triangulation + std::vector points(nbv); + int i = 0; + while (i < nbv) + { + points[i++] = Point_3(rng.get_double(-rad, rad), + rng.get_double(-rad, rad), + rng.get_double(-rad, rad)); + } + + // Construct the Delaunay triangulation. + DT dt(points.begin(), points.end()); + assert(dt.is_valid()); + + // Collect random segments for queries in [-2*rad, 2*rad] + std::vector segments(2 * nb_queries); + i = 0; + while (i < 2 * nb_queries) + { + segments[i++] = Point_3(rng.get_double(-2 * rad, 2 * rad), + rng.get_double(-2 * rad, 2 * rad), + rng.get_double(-2 * rad, 2 * rad)); + } + + CGAL::Timer timer_st, timer_ct; + timer_st.reset(); + timer_ct.reset(); + + for (i = 0; i < nb_queries; ++i) + { + //Simplex traverser + timer_st.start(); + Simplex_traverser st(dt, segments[2*i], segments[2*i + 1]); + + // Count the number of finite cells traversed. + unsigned int inf = 0, fin = 0; + for (; st != st.end(); ++st) + { + Cell c = st.cell(); +// if (dt.is_infinite(c)) ++inf; +// else ++fin; + } + timer_st.stop(); + + //Cell traverser + timer_ct.start(); + Cell_traverser ct(dt, segments[2*i], segments[2*i + 1]); + + // Count the number of finite cells traversed. + inf = 0, fin = 0; + for (; ct != ct.end(); ++ct) + { + Cell c = ct.cell(); +// if (dt.is_infinite(c)) ++inf; +// else ++fin; + } + timer_ct.stop(); + } + + std::cout << "Simplex traverser took " << timer_st.time() << " seconds." << std::endl; + std::cout << "Cell traverser took " << timer_ct.time() << " seconds." << std::endl; +} + +int main(int argc, char* argv[]) +{ + CGAL::Random rng; + std::cout << "CGAL::Random seed is " << rng.get_seed() << std::endl; + + //nb of segments tested + const int nb_queries = (argc > 1) ? atoi(argv[1]) : 100; + //nb of vertices in triangulation + const int nbv = (argc > 2) ? atoi(argv[2]) : 1000; + //radius of sphere including the triangulation + const double rad = (argc > 3) ? atof(argv[3]) : 10.; + +// bench_segment_traverser(nb_queries, nbv, rad, rng); + bench_segment_traverser(nb_queries, nbv, rad, rng); +} diff --git a/Triangulation_3/doc/Triangulation_3/CGAL/Triangulation_3.h b/Triangulation_3/doc/Triangulation_3/CGAL/Triangulation_3.h index e86c542c60d..aaa27b22d4e 100644 --- a/Triangulation_3/doc/Triangulation_3/CGAL/Triangulation_3.h +++ b/Triangulation_3/doc/Triangulation_3/CGAL/Triangulation_3.h @@ -220,6 +220,20 @@ circulator over all facets incident to a given edge */ typedef Triangulation_data_structure::Facet_circulator Facet_circulator; +/*! +iterator over cells intersected by a line segment. +`Segment_cell_iterator` implements the concept `ForwardIterator` and is non-mutable. +Its value type is `Cell_handle`. +*/ +typedef unspecified_type Segment_cell_iterator; + +/*! +iterator over simplices intersected by a line segment. +`Segment_simplex_iterator` implements the concept `ForwardIterator` and is non-mutable. +Its value type is `Triangulation_simplex_3 `. +*/ +typedef unspecified_type Segment_simplex_iterator; + /// @} /*! \name @@ -279,6 +293,17 @@ that has as value type `Vertex_handle`. range type for iterating over the points of the finite vertices. */ typedef Iterator_range Points; + +/*! + range type for iterating over the cells intersected by a line segment. +*/ + typedef Iterator_range Segment_traverser_cell_handles; + +/*! + range type for iterating over the simplices intersected by a line segment. +*/ + typedef Iterator_range Segment_traverser_simplices; + /// @} /// \name Creation @@ -1278,6 +1303,182 @@ Finite_vertex_handles finite_vertex_handles() const; */ Points points() const; +/*! + returns a range of iterators over the cells intersected by a line segment +*/ +Segment_traverser_cell_handles segment_traverser_cell_handles() const; + +/*! + returns a range of iterators over the simplices intersected by a line segment +*/ +Segment_traverser_simplices segment_traverser_simplices() const; + + +/// @} + + +/*!\name Segment Cell Iterator +The triangulation defines an iterator that visits cells intersected by a line segment. +Segment Cell Iterator iterates over a sequence of cells which union contains the segment `[s,t]`. +The sequence of cells is "minimal" (removing any cell would make the union of the +renaming cells not entirely containing `[s,t]`) and sorted along `[s,t]`. +The "minimality" of the sequence implies that in degenerate cases, +only one cell incident to the traversed simplex will be reported. + +The cells visited form a facet-connected region containing both source and target points of the line segment `[s,t]`. +Each cell falls within one or more of the following categories: +1. a finite cell whose interior is intersected by `[s,t]`. +2. a finite cell with a facet `f` whose interior is intersected by `[s,t]` in a line segment. +If such a cell is visited, its neighbor incident to `f` is not visited. +3. a finite cell with an edge `e` whose interior is intersected by `[s,t]` in a line segment. +If such a cell is visited, none of the other cells incident to `e` are visited. +4. a finite cell with an edge `e` whose interior is intersected by `[s,t]` in a point. +This cell forms a connected component together with the other cells incident to `e` that are visited. +Exactly two of these visited cells also fall in category 1 or 2. +5. a finite cell with a vertex `v` that is an endpoint of `[s,t]`. +This cell also fits in either category 1 or 2. +6. a finite cell with a vertex `v` that lies in the interior of `[s,t]`. +This cell forms a connected component together with the other cells incident to `v` that are visited. +Exactly two of these cells also fall in category 1 or 2. +7. an infinite cell with a finite facet whose interior is intersected by the interior of `[s,t]`. +8. an infinite cell with a finite edge `e` whose interior is intersected by the interior of `[s,t]`. +If such a cell is visited, its infinite neighbor incident to `e` is not visited. +Among the finite cells incident to `e` that are visited, +exactly one also falls in category 1 or 2. +9. an infinite cell with a finite vertex `v` that lies in the interior of `[s,t]`. +If such a cell is visited, none of the other infinite cells incident to `v` are visited. +Among the finite cells incident to `v` that are visited, +exactly one also falls in category 1, 2, or 3. +10. an infinite cell in the special case where the segment does not intersect any finite facet. +In this case, exactly one infinite cell is visited. +This cell shares a facet `f` with a finite cell `c` such that `f` is intersected by the line through +the point `s` and the vertex of `c` opposite of `f`. + +Note that for categories 4 and 6, it is not predetermined which incident cells are visited. +However, exactly two of the incident cells `c0,c1` visited also fall in category 1 or 2. +The remaining incident cells visited make a facet-connected sequence connecting `c0` to `c1`. + +`Segment_cell_iterator` implements the concept `ForwardIterator` and is non-mutable. +It is invalidated by any modification of one of the cells traversed. + +Its `value_type` is `Cell_handle`. +*/ +/// @{ +/*! +returns the iterator that allows to visit the cells intersected by the line segment `[vs,vt]`. + +The initial value of the iterator is the cell containing `vs` and intersected by the +line segment `[vs,vt]` in its interior. + +The first cell incident to `vt` is the last valid value of the iterator. +It is followed by `segment_traverser_cells_end()`. + +\pre `vs` and `vt` must be different vertices and neither can be the infinite vertex. +\pre `triangulation.dimension() >= 2` +*/ +Segment_cell_iterator segment_traverser_cells_begin(Vertex_handle vs, Vertex_handle vt) const; + +/*! +returns the iterator that allows to visit the cells intersected by the line segment `[ps, pt]`. + +If `[ps,pt]` entirely lies outside the convex hull, the iterator visits exactly one infinite cell. + +The initial value of the iterator is the cell containing `ps`. +If more than one cell +contains `ps` (e.g. if `ps` lies on a vertex), +the initial value is the cell intersected by +the interior of the line segment `[ps,pt]`. +If `ps` lies outside the convex hull and `pt` inside the convex full, +the initial value is the infinite cell which finite facet is intersected by +the interior of `[ps,pt]`. + +The first cell containing `pt` is the last valid value of the iterator. +It is followed by `segment_traverser_cells_end()`. + +The optional argument `hint` can reduce the time to construct the iterator +if it is geometrically close to `ps`. + +\pre `ps` and `pt` must be different points. +\pre `triangulation.dimension() >= 2`. If the dimension is 2, both `ps` and `pt` must lie in the affine hull. +*/ +Segment_cell_iterator segment_traverser_cells_begin(const Point& ps, const Point& pt, Cell_handle hint = Cell_handle()) const; + +/*! +returns the past-the-end iterator over the intersected cells. + +This iterator cannot be dereferenced. It indicates when the `Segment_cell_iterator` has +passed the target. + +\pre `triangulation.dimension() >= 2` +*/ +Segment_cell_iterator segment_traverser_cells_end() const; + +/// @} + +/*!\name Segment Simplex Iterator +The triangulation defines an iterator that visits all the triangulation simplices +(vertices, edges, facets and cells) intersected by a line segment. +The iterator traverses a connected sequence of simplices - possibly of all dimensions - +intersected by the line segment `[s, t]`. +In the degenerate case where the query segment goes exactly through a vertex +(or along an edge, or along a facet), only one of the cells incident to that vertex +(or edge, or facet) is returned by the iterator, and not all of them. + +Each simplex falls within one or more of the following categories: +1. a finite cell whose interior is intersected by `[s,t]`, +2. a facet `f` whose interior is intersected by `[s,t]` in a point, +3. a facet `f` whose interior is intersected by `[s,t]` in a line segment, +4. an edge `e` whose interior is intersected by `[s,t]` in a point, +5. an edge `e` whose interior is intersected by `[s,t]` in a line segment, +6. a vertex `v` lying on `[s,t]`, +7. an infinite cell with a finite facet whose interior is intersected by the interior of `[s,t]`, +8. an infinite cell in the special case where the segment does not intersect any finite facet. +In this case, exactly one infinite cell is visited. +This cell shares a facet `f` with a finite cell `c` such that `f` is intersected by the line through +the source of `[s,t]` and the vertex of `c` opposite of `f`. + +`Segment_simplex_iterator` implements the concept `ForwardIterator` and is non-mutable. +It is invalidated by any modification of one of the cells traversed. + +Its `value_type` is `Triangulation_simplex_3`. +*/ +/// @{ +/*! +returns the iterator that allows to visit the simplices intersected by the line segment `[vs,vt]`. + +The initial value of the iterator is `vs`. +The iterator remains valid until `vt` is passed. + +\pre `vs` and `vt` must be different vertices and neither can be the infinite vertex. +\pre `triangulation.dimension() >= 2` +*/ +Segment_simplex_iterator segment_traverser_simplices_begin(Vertex_handle vs, Vertex_handle vt) const; + +/*! +returns the iterator that allows to visit the simplices intersected by the line segment `[ps,pt]`. + +If `[ps,pt]` entirely lies outside the convex hull, the iterator visits exactly one infinite cell. + +The initial value of the iterator is the lowest dimension simplex containing `ps`. + +The iterator remains valid until the first simplex containing `pt` is passed. + +The optional argument `hint` can reduce the time to construct the iterator if it is close to `ps`. + +\pre `ps` and `pt` must be different points. +\pre `triangulation.dimension() >= 2`. If the dimension is 2, both `ps` and `pt` must lie in the affine hull. +*/ +Segment_simplex_iterator segment_traverser_simplices_begin(const Point& ps, const Point& pt, Cell_handle hint = Cell_handle()) const; + +/*! +returns the past-the-end iterator over the intersected simplices. + +This iterator cannot be dereferenced. It indicates when the `Segment_simplex_iterator` has +passed the target. + +\pre `triangulation.dimension() >= 2` +*/ +Segment_simplex_iterator segment_traverser_simplices_end() const; /// @} diff --git a/Triangulation_3/doc/Triangulation_3/PackageDescription.txt b/Triangulation_3/doc/Triangulation_3/PackageDescription.txt index 87cdc2aa9f7..52ca64d321e 100644 --- a/Triangulation_3/doc/Triangulation_3/PackageDescription.txt +++ b/Triangulation_3/doc/Triangulation_3/PackageDescription.txt @@ -6,7 +6,6 @@ /// \defgroup PkgTriangulation3TriangulationClasses Triangulation Classes /// \ingroup PkgTriangulation3Ref - /// \defgroup PkgTriangulation3TraitsClasses Traits Classes /// \ingroup PkgTriangulation3Ref diff --git a/Triangulation_3/doc/Triangulation_3/Triangulation_3.txt b/Triangulation_3/doc/Triangulation_3/Triangulation_3.txt index 5583b76b134..bb7f1b4f9e1 100644 --- a/Triangulation_3/doc/Triangulation_3/Triangulation_3.txt +++ b/Triangulation_3/doc/Triangulation_3/Triangulation_3.txt @@ -517,6 +517,14 @@ simplices can be stored in a set. \cgalExample{Triangulation_3/fast_location_3.cpp} +\subsection Triangulation3exsegmenttraverser Traversing the Triangulation Along a Segment + +The package provides iterators that can be used to traverse the triangulation along a segment. +It is guaranteed that the input segment intersects all cells (resp. simplices) visited by this traversal iterator. + +\cgalExample{Triangulation_3/segment_cell_traverser_3.cpp} +\cgalExample{Triangulation_3/segment_simplex_traverser_3.cpp} + \subsection Triangulation_3FindingtheCellsinConflict Finding the Cells in Conflict with a Point in a Delaunay Triangulation \cgalExample{Triangulation_3/find_conflicts_3.cpp} @@ -1121,6 +1129,11 @@ Teillaud in the framework of the Google Summer of Code, 2010. In 2013, Clément Jamin added parallel algorithms (insert, remove) to the Delaunay and regular triangulations. +In 2014, Thijs van Lankveld implemented the segment cell traverser iterator. +In 2018, Jane Tournois introduced the segment simplex traverser iterator +and finalized both iterators that were integrated in release 5.2. +Olivier Devillers contributed to boost the performances of the cell traverser. + The authors wish to thank Lutz Kettner for inspiring discussions about the design of \cgal. Jean-Daniel Boissonnat is also acknowledged \cgalCite{bdty-tcgal-00}. diff --git a/Triangulation_3/doc/Triangulation_3/examples.txt b/Triangulation_3/doc/Triangulation_3/examples.txt index 0d9881f767d..4166c79a440 100644 --- a/Triangulation_3/doc/Triangulation_3/examples.txt +++ b/Triangulation_3/doc/Triangulation_3/examples.txt @@ -8,6 +8,8 @@ \example Triangulation_3/info_insert_with_transform_iterator.cpp \example Triangulation_3/simplex.cpp \example Triangulation_3/fast_location_3.cpp +\example Triangulation_3/segment_cell_traverser_3.cpp +\example Triangulation_3/segment_simplex_traverser_3.cpp \example Triangulation_3/find_conflicts_3.cpp \example Triangulation_3/regular_3.cpp \example Triangulation_3/regular_with_info_3.cpp diff --git a/Triangulation_3/examples/Triangulation_3/CMakeLists.txt b/Triangulation_3/examples/Triangulation_3/CMakeLists.txt index a44531dec74..2513a547978 100644 --- a/Triangulation_3/examples/Triangulation_3/CMakeLists.txt +++ b/Triangulation_3/examples/Triangulation_3/CMakeLists.txt @@ -17,6 +17,8 @@ if(CGAL_Qt5_FOUND) add_definitions(-DCGAL_USE_BASIC_VIEWER -DQT_NO_KEYWORDS) endif() +include_directories(BEFORE "../../include") + if ( CGAL_FOUND ) create_single_source_cgal_program( "for_loop.cpp" ) create_single_source_cgal_program( "adding_handles_3.cpp" ) @@ -29,6 +31,8 @@ if ( CGAL_FOUND ) create_single_source_cgal_program( "info_insert_with_transform_iterator.cpp" ) create_single_source_cgal_program( "info_insert_with_zip_iterator.cpp" ) create_single_source_cgal_program( "regular_3.cpp" ) + create_single_source_cgal_program( "segment_cell_traverser_3.cpp" ) + create_single_source_cgal_program( "segment_simplex_traverser_3.cpp" ) create_single_source_cgal_program( "regular_with_info_3.cpp" ) create_single_source_cgal_program( "simple_triangulation_3.cpp" ) create_single_source_cgal_program( "simplex.cpp" ) diff --git a/Triangulation_3/examples/Triangulation_3/README b/Triangulation_3/examples/Triangulation_3/README index d67b701d3d5..3b75795fc5f 100644 --- a/Triangulation_3/examples/Triangulation_3/README +++ b/Triangulation_3/examples/Triangulation_3/README @@ -22,6 +22,11 @@ in a triangulation, when he needs to add handles in it. This example shows the use of the Fast_location policy to speed up point location queries in a Delaunay triangulation. +------- segment_traverser_3 -------------------------------------------- + +This example shows how to use a Triangulation_segment_cell_iterator_3 +to traverse the triangulation in a straight line. + ------- tds -------------------------------------------------- Shows how to construct a 3D triangulation data structure by diff --git a/Triangulation_3/examples/Triangulation_3/data/blobby.xyz b/Triangulation_3/examples/Triangulation_3/data/blobby.xyz new file mode 100644 index 00000000000..79361121744 --- /dev/null +++ b/Triangulation_3/examples/Triangulation_3/data/blobby.xyz @@ -0,0 +1,3288 @@ +0.092818821121200379 0.13662366613073784 0.11656471345703165 0 0 0 +0.076732984887419697 0.067323553856659224 0.029614529021827957 0 0 0 +-0.1090787838162971 0.10551983779004775 0.0071798521552504935 0 0 0 +-0.19017371055567872 0.064482799747027919 -0.025606212415708235 0 0 0 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0.0083780421928898174 -0.063444677279566875 0 0 0 +-0.16904687967208448 0.11442875496528759 -0.018520889708375565 0 0 0 +-0.12983210766991371 -0.010592970204607144 -0.081080219777883489 0 0 0 diff --git a/Triangulation_3/examples/Triangulation_3/segment_cell_traverser_3.cpp b/Triangulation_3/examples/Triangulation_3/segment_cell_traverser_3.cpp new file mode 100644 index 00000000000..a86c6b85755 --- /dev/null +++ b/Triangulation_3/examples/Triangulation_3/segment_cell_traverser_3.cpp @@ -0,0 +1,109 @@ + +#include +#include + +#include +#include +#include +#include + +#include +#include + + +// Define the kernel. +typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel; +typedef Kernel::Point_3 Point_3; + +// Define the structure. +typedef CGAL::Delaunay_triangulation_3< Kernel > DT; +typedef DT::Cell_handle Cell_handle; +typedef DT::Segment_cell_iterator Segment_cell_iterator; + +int main(int argc, char* argv[]) +{ + const char* fname = (argc>1) ? argv[1] : "data/blobby.xyz"; + + std::vector points; + std::ifstream stream(fname); + if (!stream || + !CGAL::read_xyz_points(stream, std::back_inserter(points))) + { + std::cerr << "Error: cannot read file " << fname << std::endl; + return EXIT_FAILURE; + } + + //bbox + double xmin = points[0].x(); + double xmax = points[0].x(); + double ymin = points[0].y(); + double ymax = points[0].y(); + double zmin = points[0].z(); + double zmax = points[0].z(); + + for(const Point_3& p : points) + { + xmin = (std::min)(xmin, p.x()); + ymin = (std::min)(ymin, p.y()); + zmin = (std::min)(zmin, p.z()); + xmax = (std::max)(xmax, p.x()); + ymax = (std::max)(ymax, p.y()); + zmax = (std::max)(zmax, p.z()); + } + + // Construct the Delaunay triangulation. + DT dt( points.begin(), points.end() ); + assert( dt.is_valid() ); + + CGAL::Random rng; + std::cout << "Random seed is " << CGAL::get_default_random().get_seed() << std::endl; + + //////////////////////////////////////////////////////////// + // Construct a traverser and use begin/end iterators + //////////////////////////////////////////////////////////// + Point_3 p1(rng.get_double(xmin, xmax), + rng.get_double(ymin, ymax), + rng.get_double(zmin, zmax)); + Point_3 p2(rng.get_double(xmin, xmax), + rng.get_double(ymin, ymax), + rng.get_double(zmin, zmax)); + + Segment_cell_iterator ct = dt.segment_traverser_cells_begin(p1, p2); + Segment_cell_iterator ctend = dt.segment_traverser_cells_end(); + + // Count the number of finite cells traversed. + unsigned int inf = 0, fin = 0; + for( ; ct != ctend; ++ct ) + { + if( dt.is_infinite(ct) ) + ++inf; + else + ++fin; + } + + std::cout << "While traversing from " << p1 << " to " << p2 << std::endl; + std::cout << inf << " infinite and " + << fin << " finite cells were visited." << std::endl; + std::cout << std::endl << std::endl; + + //////////////////////////////////////////////////////////// + // Construct a traverser and use range-iterator + //////////////////////////////////////////////////////////// + + // Count the number of finite cells traversed. + inf = 0, fin = 0; + for (const Cell_handle ch : dt.segment_traverser_cell_handles(p1, p2)) + { + if (dt.is_infinite(ch)) + ++inf; + else + ++fin; + } + + std::cout << "While traversing from " << p1 << " to " << p2 << std::endl; + std::cout << inf << " infinite and " + << fin << " finite cells were visited." << std::endl; + std::cout << std::endl << std::endl; + + return 0; +} diff --git a/Triangulation_3/examples/Triangulation_3/segment_simplex_traverser_3.cpp b/Triangulation_3/examples/Triangulation_3/segment_simplex_traverser_3.cpp new file mode 100644 index 00000000000..7431bd02705 --- /dev/null +++ b/Triangulation_3/examples/Triangulation_3/segment_simplex_traverser_3.cpp @@ -0,0 +1,98 @@ +#include +#include + +#include +#include +#include +#include + +#include +#include + +#define CGAL_TRIANGULATION_3_VERBOSE_TRAVERSER_EXAMPLE + +// Define the kernel. +typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel; +typedef Kernel::Point_3 Point_3; + +// Define the structure. +typedef CGAL::Delaunay_triangulation_3 DT; +typedef DT::Segment_simplex_iterator Segment_simplex_iterator; +typedef CGAL::Triangulation_simplex_3 Simplex; + +int main(int argc, char* argv[]) +{ + const char* fname = (argc>1) ? argv[1] : "data/blobby.xyz"; + + std::vector points; + std::ifstream stream(fname); + if (!stream || + !CGAL::read_xyz_points(stream, std::back_inserter(points))) + { + std::cerr << "Error: cannot read file " << fname << std::endl; + return EXIT_FAILURE; + } + + // Construct the Delaunay triangulation. + DT dt( points.begin(), points.end() ); + assert( dt.is_valid() ); + + CGAL::Random rng; + std::cout << "Random seed is " << CGAL::get_default_random().get_seed() << std::endl; + + unsigned int nb_cells = 0, nb_facets = 0, nb_edges = 0, nb_vertex = 0; + + //////////////////////////////////////////////////////////// + // Construct a traverser and use begin/end iterators + //////////////////////////////////////////////////////////// + Point_3 p1(rng.get_double(-0.48, 0.31), + rng.get_double(-0.22, 0.22), + rng.get_double(-0.19, 0.19)); + Point_3 p2(rng.get_double(-0.48, 0.31), + rng.get_double(-0.22, 0.22), + rng.get_double(-0.19, 0.19)); + + Segment_simplex_iterator st = dt.segment_traverser_simplices_begin(p1, p2); + Segment_simplex_iterator stend = dt.segment_traverser_simplices_end(); + + for (; st != stend; ++st) + { + if (st->dimension() == 3) ++nb_cells; + else if (st->dimension() == 2) ++nb_facets; + else if (st->dimension() == 1) ++nb_edges; + else if (st->dimension() == 0) ++nb_vertex; + } + +#ifdef CGAL_TRIANGULATION_3_VERBOSE_TRAVERSER_EXAMPLE + std::cout << "While traversing from " << p1 << " to " << p2 << std::endl; + std::cout << "\tcells : " << nb_cells << std::endl; + std::cout << "\tfacets : " << nb_facets << std::endl; + std::cout << "\tedges : " << nb_edges << std::endl; + std::cout << "\tvertices : " << nb_vertex << std::endl; + std::cout << std::endl << std::endl; +#endif + + //////////////////////////////////////////////////////////// + // Construct a traverser and use range-iterator + //////////////////////////////////////////////////////////// + + nb_cells = 0, nb_facets = 0, nb_edges = 0, nb_vertex = 0; + for (const Simplex& s : dt.segment_traverser_simplices(p1, p2)) + { + if (s.dimension() == 3) ++nb_cells; + else if (s.dimension() == 2) ++nb_facets; + else if (s.dimension() == 1) ++nb_edges; + else if (s.dimension() == 0) ++nb_vertex; + } + +#ifdef CGAL_TRIANGULATION_3_VERBOSE_TRAVERSER_EXAMPLE + std::cout << "While traversing from " << p1 << " to " << p2 << std::endl; + std::cout << "\tcells : " << nb_cells << std::endl; + std::cout << "\tfacets : " << nb_facets << std::endl; + std::cout << "\tedges : " << nb_edges << std::endl; + std::cout << "\tvertices : " << nb_vertex << std::endl; + std::cout << std::endl << std::endl; +#endif + + return 0; +} diff --git a/Triangulation_3/include/CGAL/Triangulation_3.h b/Triangulation_3/include/CGAL/Triangulation_3.h index 858679d46ac..4e4c5606545 100644 --- a/Triangulation_3/include/CGAL/Triangulation_3.h +++ b/Triangulation_3/include/CGAL/Triangulation_3.h @@ -43,6 +43,8 @@ #include #include +#include + #include #include #include @@ -524,6 +526,12 @@ public: typedef Iterator_range Finite_edges; typedef Iterator_range Finite_facets; + typedef Triangulation_segment_cell_iterator_3 Segment_cell_iterator; + typedef Triangulation_segment_simplex_iterator_3 Segment_simplex_iterator; + + typedef Iterator_range > Segment_traverser_cell_handles; + typedef Iterator_range Segment_traverser_simplices; + private: // Auxiliary iterators for convenience // do not use default template argument to please VC++ @@ -2196,6 +2204,73 @@ public: return _tds.incident_edges_threadsafe(v, edges, Finite_filter(this)); } + //// Segment Cell Iterator + Segment_cell_iterator segment_traverser_cells_begin(Vertex_handle vs, + Vertex_handle vt) const + { + Segment_cell_iterator it(this, vs, vt); + return it; + } + Segment_cell_iterator segment_traverser_cells_begin(const Point& ps, + const Point& pt, + Cell_handle hint = Cell_handle()) const + { + Segment_cell_iterator it(this, ps, pt, hint); + return it; + } + Segment_cell_iterator segment_traverser_cells_end() const + { + Segment_cell_iterator it(this); + return it.end(); + } + Segment_traverser_cell_handles segment_traverser_cell_handles(Vertex_handle vs, + Vertex_handle vt) const + { + return make_prevent_deref_range(segment_traverser_cells_begin(vs, vt), + segment_traverser_cells_end()); + } + Segment_traverser_cell_handles segment_traverser_cell_handles(const Point& ps, + const Point& pt, + Cell_handle hint = Cell_handle()) const + { + return make_prevent_deref_range(segment_traverser_cells_begin(ps, pt, hint), + segment_traverser_cells_end()); + } + + //// Segment Simplex Iterator + Segment_simplex_iterator segment_traverser_simplices_begin(Vertex_handle vs, + Vertex_handle vt) const + { + Segment_simplex_iterator it(this, vs, vt); + return it; + } + Segment_simplex_iterator segment_traverser_simplices_begin(const Point& ps, + const Point& pt, + Cell_handle hint = Cell_handle()) const + { + Segment_simplex_iterator it(this, ps, pt, hint); + return it; + } + Segment_simplex_iterator segment_traverser_simplices_end() const + { + Segment_simplex_iterator it(this); + return it.end(); + } + Segment_traverser_simplices segment_traverser_simplices(Vertex_handle vs, + Vertex_handle vt) const + { + return Segment_traverser_simplices(segment_traverser_simplices_begin(vs, vt), + segment_traverser_simplices_end()); + } + Segment_traverser_simplices segment_traverser_simplices(const Point& ps, + const Point& pt, + Cell_handle hint = Cell_handle()) const + { + return Segment_traverser_simplices(segment_traverser_simplices_begin(ps, pt, hint), + segment_traverser_simplices_end()); + } + + size_type degree(Vertex_handle v) const { return _tds.degree(v); diff --git a/Triangulation_3/include/CGAL/Triangulation_segment_traverser_3.h b/Triangulation_3/include/CGAL/Triangulation_segment_traverser_3.h new file mode 100644 index 00000000000..1c2390d7c4a --- /dev/null +++ b/Triangulation_3/include/CGAL/Triangulation_segment_traverser_3.h @@ -0,0 +1,1154 @@ +// Copyright (c) 2012 INRIA Sophia-Antipolis (France). +// All rights reserved. +// +// This file is part of CGAL (www.cgal.org). +// +// $URL$ +// $Id$ +// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial +// +// Author(s): Thijs van Lankveld, Jane Tournois + + +#ifndef CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_H +#define CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_H + +#include + +#include +#include +#include + +#include +#include + +#include +#include +#include +#include + + +// If defined, type casting is done statically, +// reducing type-safety overhead. +#define CGAL_TST_ASSUME_CORRECT_TYPES + +namespace CGAL { + +template < class Tr, class Inc > +class Triangulation_segment_cell_iterator_3; + +namespace internal { +template < class Tr > +struct Incrementer { + typedef Incrementer Self; + typedef Triangulation_segment_cell_iterator_3 SCI; // describes the type of iterator expected by the incrementer. + Incrementer() {} + void increment( SCI& sci ) { sci.walk_to_next(); } +}; // struct Incrementer + +} // namespace internal + + +// provides an iterator over the cells intersected by a line segment. +/* + * The `Triangulation_segment_traverser_3` iterates over the cells + * of a `Triangulation_3` by following a straight line segment \f$ st \f$. + * + * This class is closely related to `Triangulation_3::locate(...)`. + * However, unlike this `locate(...)` method, all the cells traversed + * by the `Triangulation_segment_traverser_3` intersect the interior of the line + * segment \f$ st \f$. + * + * Traversal starts from a cell containing \f$ s \f$ and it ends in a cell containing + * \f$ t \f$. + * If \f$ st \f$ is coplanar with a facet or collinear with an edge, at most one of the + * incident cells is traversed. + * If \f$ st \f$ intersects an edge or vertex, at most two incident cells are traversed: + * the cells intersected by \f$ st \f$ strictly in their interior. + * + * If \f$ s \f$ lies on the convex hull, traversal starts in an incident cell inside + * the convex hull. Similarly, if \f$ t \f$ lies on the convex hull, traversal ends in + * an adjacent cell inside the convex hull. + * + * Both \f$ s \f$ and \f$ t \f$ may lie outside the convex hull of the triangulation, + * but they must lie within the affine hull of the triangulation. In either case, the + * finite facet of any infinite cells traversed must intersect \f$ st \f$. + * + * The traverser may be applied to any triangulation of dimension > 0. + * However, for triangulations of dimension 1, the functionality is somewhat trivial. + * + * The traverser becomes invalid whenever the triangulation is changed. + * + * \tparam Tr_ is the triangulation type to traverse. + * + * \cgalModels{ForwardIterator} + * + * \sa `Triangulation_3` + * \sa `Forward_circulator_base` + */ +template < class Tr_, class Inc = internal::Incrementer > +class Triangulation_segment_cell_iterator_3 +{ + typedef Tr_ Tr; + typedef typename Tr::Triangulation_data_structure Tds; + typedef typename Tr::Geom_traits Gt; + typedef Inc Incrementer; + +public: +// \name Types +// \{ + typedef Tr Triangulation; //< defines the triangulation type. + typedef Triangulation_segment_cell_iterator_3 + Segment_cell_iterator; //< defines the segment cell iterator type. + + typedef typename Tr::Point Point; //< defines the point type. + typedef typename Tr::Segment Segment; //< defines the line segment type. + + typedef typename Tr::Cell Cell; //< defines the type of a cell of the triangulation. + typedef typename Tr::Edge Edge; //< defines the type of an edge of the triangulation. + typedef typename Tr::Facet Facet; //< defines the type of a facet of the triangulation. + + typedef typename Tr::Vertex_handle Vertex_handle; //< defines the type of a handle for a vertex in the triangulation. + typedef typename Tr::Cell_handle Cell_handle; //< defines the type of a handle for a cell in the triangulation. + + typedef typename Tr::Locate_type Locate_type; //< defines the simplex type returned from location. + + typedef std::tuple Simplex; //< defines the simplex type. + + typedef Cell value_type; //< defines the value type the iterator refers to. + typedef Cell& reference; //< defines the reference type of the iterator. + typedef Cell* pointer; //< defines the pointer type of the iterator. + typedef std::size_t size_type; //< defines the integral type that can hold the size of a sequence. + typedef std::ptrdiff_t difference_type; //< defines the signed integral type that can hold the distance between two iterators. + typedef std::forward_iterator_tag iterator_category; //< defines the iterator category. +// \} + + // describes the iterator type when applied to another type of triangulation or incrementer. + template < class Tr2, class Inc2 > + struct Rebind { typedef Triangulation_segment_cell_iterator_3 Other; }; + +private: + typedef Segment_cell_iterator SCI; + + friend internal::Incrementer; + +protected: +// \internal \name Protected Attributes +// \{ + // \internal The triangulation to traverse. + const Tr* _tr; + +// \} + + // The source and target points of the traversal. + // These are also stored as vertices for cheaper equality computation. + Point _source; + Point _target; + Vertex_handle _s_vertex; + Vertex_handle _t_vertex; + + // The current cell with its entry point and the previous cell with its + // exit point. + // Note that the current cell will be Cell_handle() after incrementing past + // the first cell containing the target. + Simplex _cur, _prev; + +public: +// \name Constructors +// \{ + // constructs an iterator. + /* \param tr the triangulation to iterate though. This triangulation must have dimension > 0. + * \param s the source vertex. This vertex must be initialized and cannot be the infinite vertex. + * \param t the target vertex. This vertex must be initialized and cannot be the infinite vertex. + * It cannot equal `s`. + */ + Triangulation_segment_cell_iterator_3( const Tr* tr, Vertex_handle s, Vertex_handle t ); + + // constructs an iterator. + /* \param tr the triangulation to iterate though. This triangulation must have dimension > 0. + * \param s the source vertex. This vertex must be initialized and cannot be the infinite vertex. + * \param t the target point. This point must be initialized and it cannot be be at the same location as `s`. + * If `tr` has dimension < 3, `t` must lie inside the affine hull of `tr`. + */ + Triangulation_segment_cell_iterator_3( const Tr* tr, Vertex_handle s, const Point& t ); + + // constructs an iterator. + /* \param tr the triangulation to iterate though. This triangulation must have dimension > 0. + * \param s the source point. This point must be initialized and it cannot be be at the same location as `t`. + * \param t the target vertex. This vertex must be initialized and cannot be the infinite vertex. + * If `tr` has dimension < 3, `s` must lie inside the affine hull of `tr`. + * \param hint the starting point to search for `s`. + */ + Triangulation_segment_cell_iterator_3( const Tr* tr, const Point& s, Vertex_handle t, Cell_handle hint = Cell_handle() ); + + // constructs an iterator. + /* \param tr the triangulation to iterate though. This triangulation must have dimension > 0. + * \param s the source point. This point must be initialized. If `tr` has dimension < 3, `s` must lie inside + * the affine hull of `tr`. + * \param t the target point. This point must be initialized and it cannot be be at the same location as `s`. + * If `tr` has dimension < 3, `t` must lie inside the affine hull of `tr`. + * \param hint the starting point to search for `s`. + */ + Triangulation_segment_cell_iterator_3( const Tr* tr, const Point& s, const Point& t, Cell_handle hint = Cell_handle() ); + + // constructs an iterator. + /* \param tr the triangulation to iterate though. This triangulation must have dimension > 0. + * \param S the segment to be traversed. If `tr` has dimension < 3, `S` must lie inside + * the affine hull of `tr`. `S` must not be degenerate, i.e. its source and target must not be equal. + * \param hint the starting point to search for `S`. + */ + Triangulation_segment_cell_iterator_3( const Tr* tr, const Segment& S, Cell_handle hint = Cell_handle() ); +// \} + + // private constructor that does not initialize the source and target. + // used for the end() + Triangulation_segment_cell_iterator_3(const Tr* tr); + +#ifndef CGAL_TST_ASSUME_CORRECT_TYPES + // The virtual destructor is mainly defined to indicate to the casting + // operators that this is a dynamic type. + virtual +#endif + ~Triangulation_segment_cell_iterator_3() {} + + +public: +// \name Accessors +// \{ + + const Tr* triangulation() const { return _tr; } + + // gives the source point of the segment followed. + /* \return the source point. + */ + const Point& source() const { return _source; } + + // gives the target point of the segment follwoed. + /* \return the target point. + */ + const Point& target() const { return _target; } + + // gives a handle to the current cell. + /* By invariance, this cell is intersected by the segment + * between `source()` and `target()`. + * \return a handle to the current cell. + * \sa `cell()`. + */ + Cell_handle handle() + { + return std::get<0>(_cur); + } + + // gives the previous cell. + /* This cell is uninitialized until the iterator leaves the initial + * cell. + * By invariance, once initialized, this cell must be intersected by the segment + * between `source()` and `target()`. + * \return the previous cell. + * \sa `handle()`. + */ + Cell_handle previous() const + { + return prev_cell(); + } + + // provides a dereference operator. + /* \return a pointer to the current cell. + */ + Cell* operator->() + { + return &*std::get<0>(_cur); + } + + // provides an indirection operator. + /* \return the current cell. + */ + Cell& operator*() + { + return *std::get<0>(_cur); + } + + // provides a conversion operator. + /* \return a handle to the current cell. + */ + operator Cell_handle() const + { + return std::get<0>(_cur); + } + + // provides a conversion operator. + /* \return the simplex through wich the current cell was entered. + */ + operator Simplex() const { return _cur; } + + // checks whether the iterator has reached the final cell, which contains the `target()`. + /* If the `target()` lies on a facet, edge, or vertex, the final cell is the cell containing + * the interior of the segment between `source()` and `target()`. + * \return true iff the current cell contains the `target()`. + */ + bool has_next() const + { + return this->cell() != Cell_handle(); + } + + // gives the simplex through which the current cell was entered. + /* For the first cell, containing the `source()` \f$ s \f$, + * this indicates the location of \f$ s \f$ in this cell. + */ + void entry( Locate_type& lt, int& li, int& lj ) const + { + lt = this->lt(); li = this->li(); lj = this->lj(); + } + // gives the simplex through which the previous cell was exited. + /* \pre the current cell is not the initial cell. + */ + void exit( Locate_type& lt, int& li, int& lj ) const + { + lt = prev_lt(); li = prev_li(); lj = prev_lj(); + } + + // gives the past-the-end iterator associated with this iterator. + SCI end() const; +// \} + +public: +// \name Mutators +// \{ + // provides the increment postfix operator. + /* After incrementing the iterator, the current cell intersects the segment + * between `source()` and `target()` closer to the `target()` than the previous cell. + * \sa `operator++(int)`. + * \pre The current cell does not contain the `target()`. + */ + SCI& operator++(); + + // provides the increment prefix operator. + /* After incrementing the iterator, the current cell intersects the segment + * between `source()` and `target()` closer to the `target()` than the previous cell. + * than the previous cell. + * \sa `operator++()`. + * \pre The current cell does not contain the `target()`. + */ + SCI operator++( int ); + + // iterates to the final cell, which contains the `target()`. + /* \return the final cell. + */ + Cell_handle complete(); +// \} + +public: +// \name Comparison +// \{ + // compares this iterator with `sci`. + /* \param sci the other iterator. + * \return true iff the other iterator iterates the same triangulation along the same line segment + * and has the same current cell. + * \sa `operator!=( const SCI& t )`. + */ + bool operator==( const SCI& sci ) const; + + // compares this iterator with `sci`. + /* \param sci the other iterator. + * \return `false` iff the other iterator iterates the same triangulation along the same line segment + * and has the same current cell. + * \sa `operator==( const SCI& t ) const`. + */ + bool operator!=( const SCI& sci ) const; + + // compares the current cell with `ch`. + /* \param ch a handle to the other cell. + * \return true iff the current cell is the same as the one pointed to by `ch`. + * \sa `operator!=( const Cell_handle& ch ) const`. + * \sa `operator==( typename TriangulationTraits_3::Cell_handle ch, Triangulation_segment_cell_iterator_3 t )`. + */ + bool operator==( const Cell_handle& ch ) const + { + return ch == std::get<0>(_cur); + } + + // compares the current cell with `ch`. + /* \param ch a handle to the other cell. + * \return `false` iff the current cell is the same as the one pointed to by `ch`. + * \sa `operator==( const Cell_handle& ch )`. + * \sa `operator!=( typename TriangulationTraits_3::Cell_handle ch, Triangulation_segment_cell_iterator_3 t )`. + */ + bool operator!=( const Cell_handle& ch ) const + { + return ch != std::get<0>(_cur); + } +// \} + + bool operator==( Nullptr_t CGAL_triangulation_assertion_code(n) ) const; + bool operator!=( Nullptr_t n ) const; + +protected: +// \internal \name Protected Member Functions +// \{ + // walks to the next cell. + /* \sa `complete()`. + */ + void walk_to_next(); + + // increments the iterator. + /* This method may perform more actions based on the superclass. + * \sa `complete()`. + */ + void increment() { + typedef typename Incrementer::SCI Expected; +#ifdef CGAL_TST_ASSUME_CORRECT_TYPES + Expected& sci = static_cast( *this ); +#else // CGAL_TST_ASSUME_CORRECT_TYPES + Expected& sci = dynamic_cast( *this ); +#endif // CGAL_TST_ASSUME_CORRECT_TYPES + Incrementer().increment( sci ); + } +// \} + +private: + // at the end of the constructors, entry() is a vertex, edge or facet, + // we need to circulate/iterate over its incident cells to + // make sure that the current cell intersects the input query + void jump_to_intersecting_cell(); + + // walk_to_next(), if the triangulation is 3D. + std::pair walk_to_next_3(const Simplex& prev, + const Simplex& cur) const; + void walk_to_next_3_inf( int inf ); + + // walk_to_next(), if the triangulation is 2D. + void walk_to_next_2(); + void walk_to_next_2_inf( int inf ); + +private: + inline int edgeIndex( int i, int j ) const { + CGAL_triangulation_precondition( i>=0 && i<=3 ); + CGAL_triangulation_precondition( j>=0 && j<=3 ); + CGAL_triangulation_precondition( i != j ); + return ( i==0 || j==0 ) ? i+j-1 : i+j; + } + + bool have_same_entry(const Simplex& s1, const Simplex& s2) const; + + // Compute the orientation of a point compared to the oriented plane supporting a half-facet. + CGAL::Orientation orientation(const Facet& f, const Point& p) const; + + bool coplanar(const Facet &f, const Point &p) const; + + // Gives the edge incident to the same cell that is not incident to any of the input vertices. + Edge opposite_edge(Cell_handle c, int li, int lj) const; + Edge opposite_edge(const Edge& e) const; + + // ref-accessors to the simplex, for use in internal code + // access _cur + Cell_handle& cell() { return std::get<0>(_cur); } + Cell_handle const& cell() const { return std::get<0>(_cur); } + + Locate_type& lt() { return std::get<1>(_cur); } + Locate_type const& lt() const { return std::get<1>(_cur); } + + int& li() { return std::get<2>(_cur); } + int const& li() const { return std::get<2>(_cur); } + + int& lj() { return std::get<3>(_cur); } + int const& lj() const { return std::get<3>(_cur); } + + // access _prev + Cell_handle& prev_cell() { return std::get<0>(_prev); } + Cell_handle const& prev_cell() const { return std::get<0>(_prev); } + + Locate_type& prev_lt() { return std::get<1>(_prev); } + Locate_type const& prev_lt() const { return std::get<1>(_prev); } + + int& prev_li() { return std::get<2>(_prev); } + int const& prev_li() const { return std::get<2>(_prev); } + + int& prev_lj() { return std::get<3>(_prev); } + int const& prev_lj() const { return std::get<3>(_prev); } + +}; // class Triangulation_segment_cell_iterator_3 + +// compares a handle to a cell to a traverser. +/* \param ch the handle to a cell. + * \param t the traverser. + * \return true iff the cell currently traversed by `t` is the same as the one pointed to by `ch`. + * \sa `operator!=( typename TriangulationTraits_3::Cell_handle ch, Triangulation_segment_cell_iterator_3 t )`. + * \sa `Triangulation_segment_cell_iterator_3::operator==( const Cell_handle& ch )`. + */ +template < class Tr, class Inc > +inline bool operator==( typename Tr::Cell_handle ch, Triangulation_segment_cell_iterator_3 tci ) { return tci == ch; } + +// compares a handle to a cell to a traverser. +/* \param ch the handle to a cell. + * \param t the traverser. + * \return `false` iff the cell currently traversed by `t` is the same as the one pointed to by `ch`. + * \sa `operator==( typename TriangulationTraits_3::Cell_handle ch, Triangulation_segment_cell_iterator_3 t )`. + * \sa `Triangulation_segment_cell_iterator_3::operator!=( const Cell_handle& ch )`. + */ +template < class Tr, class Inc > +inline bool operator!=( typename Tr::Cell_handle ch, Triangulation_segment_cell_iterator_3 tci ) { return tci != ch; } + + + +/********************************************************************/ +/********************************************************************/ +/********************************************************************/ +template < class Tr_, class Inc = internal::Incrementer > +class Triangulation_segment_simplex_iterator_3 +{ + typedef Tr_ Tr; + typedef typename Tr::Triangulation_data_structure Tds; + typedef typename Tr::Geom_traits Gt; + typedef Inc Incrementer; + +private: + typedef Triangulation_segment_simplex_iterator_3 Simplex_iterator; + typedef Triangulation_segment_cell_iterator_3 SCI; + +private: + typedef typename SCI::Point Point; + typedef typename SCI::Segment Segment; + +public: + // \{ + typedef typename SCI::Vertex_handle Vertex_handle;//< defines the type of a handle for a vertex in the triangulation + typedef typename SCI::Cell_handle Cell_handle; //< defines the type of a handle for a cell in the triangulation. + typedef typename SCI::Cell Cell; //< defines the type of a handle for a cell in the triangulation. + typedef typename SCI::Triangulation::Edge Edge; //< defines the type of an edge in the triangulation. + typedef typename SCI::Triangulation::Facet Facet; //< defines the type of a facet in the triangulation. + typedef typename SCI::Locate_type Locate_type; //< defines the simplex type returned from location. + + typedef CGAL::Triangulation_simplex_3 Simplex_3; + + typedef Simplex_3 value_type; //< defines the value type the iterator refers to. + typedef const Simplex_3& reference; //< defines the reference type of the iterator. + typedef const Simplex_3* pointer; //< defines the pointer type of the iterator. + typedef std::size_t size_type; //< defines the integral type that can hold the size of a sequence. + typedef std::ptrdiff_t difference_type; //< defines the signed integral type that can hold the distance between two iterators. + typedef std::forward_iterator_tag iterator_category; //< defines the iterator category. + // \} + +private: + SCI _cell_iterator; + Simplex_3 _curr_simplex; + +public: + Triangulation_segment_simplex_iterator_3(const Tr* tr + , Vertex_handle s, Vertex_handle t) + : _cell_iterator(tr, s, t) + { set_curr_simplex_to_entry(); } + Triangulation_segment_simplex_iterator_3(const Tr* tr + , Vertex_handle s, const Point& t) + : _cell_iterator(tr, s, t) + { set_curr_simplex_to_entry(); } + Triangulation_segment_simplex_iterator_3(const Tr* tr + , const Point& s, Vertex_handle t, Cell_handle hint = Cell_handle()) + : _cell_iterator(tr, s, t, hint) + { set_curr_simplex_to_entry(); } + Triangulation_segment_simplex_iterator_3(const Tr* tr + , const Point& s, const Point& t, Cell_handle hint = Cell_handle()) + : _cell_iterator(tr, s, t, hint) + { set_curr_simplex_to_entry(); } + Triangulation_segment_simplex_iterator_3(const Tr* tr + , const Segment& seg, Cell_handle hint = Cell_handle()) + : _cell_iterator(tr, seg, hint) + { set_curr_simplex_to_entry(); } + Triangulation_segment_simplex_iterator_3(const Tr* tr) + : _cell_iterator(tr) + , _curr_simplex() + {} + + bool operator==(const Simplex_iterator& sit) const + { + return sit._cell_iterator == _cell_iterator + && sit._curr_simplex == _curr_simplex; + } + bool operator!=(const Simplex_iterator& sit) const + { + return sit._cell_iterator != _cell_iterator + || sit._curr_simplex != _curr_simplex; + } + + const Point& source() const { return _cell_iterator.source(); } + const Point& target() const { return _cell_iterator.target(); } + + const Tr* triangulation() const { return _cell_iterator.triangulation(); } + +private: + Triangulation_segment_simplex_iterator_3 + (const SCI& sci) + : _cell_iterator(sci) + , _curr_simplex() + {} + +private: + void set_curr_simplex_to_entry() + { + Locate_type lt; + int li, lj; + Cell_handle cell; + + //check what is the entry type of _cell_iterator + if (Cell_handle(_cell_iterator) == Cell_handle()) + { + //where did the segment std::get out from previous cell + cell = _cell_iterator.previous(); + _cell_iterator.exit(lt, li, lj); + } + else + { + cell = Cell_handle(_cell_iterator); + _cell_iterator.entry(lt, li, lj); + } + + switch (lt) + { + case Locate_type::VERTEX: + _curr_simplex = cell->vertex(li); + break; + case Locate_type::EDGE: + _curr_simplex = Edge(cell, li, lj); + break; + case Locate_type::FACET: + _curr_simplex = Facet(cell, li); + break; + //the 3 cases below correspond to the case when _cell_iterator + //is in its initial position: _cur is locate(source) + case Locate_type::CELL: + case Locate_type::OUTSIDE_CONVEX_HULL: + case Locate_type::OUTSIDE_AFFINE_HULL: + if (Cell_handle(_cell_iterator) == Cell_handle()) + _curr_simplex = Simplex_3(); + else + _curr_simplex = cell; + break; + default: + CGAL_assertion(false); + }; + } + +public: + Simplex_iterator end() const + { + Simplex_iterator sit(_cell_iterator.end()); + return sit; + } + + // provides the increment postfix operator. + Simplex_iterator& operator++() + { + CGAL_assertion(_curr_simplex.incident_cell() != Cell_handle()); + + switch(_curr_simplex.dimension()) + { + case 3 :/*Cell_handle*/ + { + Cell_handle ch = Cell_handle(_cell_iterator); + if (ch == Cell_handle()) + { + if(!triangulation()->is_infinite(Cell_handle(_curr_simplex))) + set_curr_simplex_to_entry(); + else + _curr_simplex = Simplex_3(); + break; + } + else + { + if (!cell_iterator_is_ahead()) + ++_cell_iterator; + set_curr_simplex_to_entry(); + } + break; + } + case 2 :/*Facet*/ + { + Cell_handle ch = Cell_handle(_cell_iterator); + if (!cell_iterator_is_ahead()) + { + //cell_iterator is not ahead. get_facet() is part of cell_iterator + //we cannot be in any of the degenerate cases, only detected by + //taking cell_iterator one step forward + CGAL_assertion(cell_has_facet(Cell_handle(_cell_iterator), get_facet())); + ++_cell_iterator; + if (Cell_handle(_cell_iterator) == Cell_handle()) + { + _curr_simplex = _cell_iterator.previous(); + break; + } + } + else + ch = _cell_iterator.previous(); + + Cell_handle chnext = Cell_handle(_cell_iterator); + Locate_type ltnext; + int linext, ljnext; + _cell_iterator.entry(ltnext, linext, ljnext); + switch (ltnext)//entry simplex in next cell + { + case Locate_type::VERTEX: + { + if (_cell_iterator == _cell_iterator.end()) + { + _curr_simplex = Simplex_3(); + break; + } + //if the entry vertex is a vertex of current facet + int i; + if (triangulation()->has_vertex(get_facet(), chnext->vertex(linext), i)) + set_curr_simplex_to_entry(); + else + _curr_simplex = ch; + break; + } + + case Locate_type::EDGE: + if (facet_has_edge(get_facet(), Edge(chnext, linext, ljnext))) + set_curr_simplex_to_entry(); + else + _curr_simplex = ch; + break; + + case Locate_type::FACET: + _curr_simplex = ch; + break; + + case Locate_type::OUTSIDE_AFFINE_HULL: + _curr_simplex = Simplex_3(); + break; + + default: + CGAL_assertion(false); + }; + break; + } + case 1:/*Edge*/ + { + Cell_handle ch = Cell_handle(_cell_iterator); + if (ch == _cell_iterator.previous()) + { + _curr_simplex = Simplex_3(); + break; + } + Locate_type lt; + int li, lj; + _cell_iterator.entry(lt, li, lj); + + if (!cell_iterator_is_ahead()) + { + ++_cell_iterator;//cell_iterator needs to be ahead to detect degeneracies + if (Cell_handle(_cell_iterator) == Cell_handle()) + { + _curr_simplex = _cell_iterator.previous(); + break; + } + } + + Cell_handle chnext = Cell_handle(_cell_iterator); + Locate_type ltnext; + int linext, ljnext; + _cell_iterator.entry(ltnext, linext, ljnext); + switch (ltnext)//entry simplex in next cell + { + case Locate_type::VERTEX: + if (edge_has_vertex(get_edge(), chnext->vertex(linext))) + _curr_simplex = chnext->vertex(linext); + else + _curr_simplex = shared_facet(get_edge(), chnext->vertex(linext)); + break; + + case Locate_type::EDGE: + { + CGAL_assertion(_cell_iterator == _cell_iterator.end() + || triangulation()->is_infinite(chnext) + || _curr_simplex != Simplex_3(Edge(chnext, linext, ljnext))); + + if (_cell_iterator == _cell_iterator.end()) + _curr_simplex = Simplex_3(); + else if (triangulation()->is_infinite(chnext) + && _curr_simplex == Simplex_3(Edge(chnext, linext, ljnext))) + _curr_simplex = chnext; + else + _curr_simplex = shared_facet(get_edge(), Edge(chnext, linext, ljnext)); + break; + } + + case Locate_type::FACET: + _curr_simplex = Cell_handle(_cell_iterator);//query goes through the cell + break; + + case Locate_type::OUTSIDE_AFFINE_HULL: + { + Cell_handle chprev = _cell_iterator.previous(); + Locate_type ltprev; + int liprev, ljprev; + _cell_iterator.exit(ltprev, liprev, ljprev); + + if (ltprev == Locate_type::VERTEX) //edge-vertex-outside + _curr_simplex = chprev->vertex(liprev); + else + _curr_simplex = Simplex_3(); //edge-outside + break; + } + default: + CGAL_assertion(false);//should not happen + }; + break; + } + case 0 :/*Vertex_handle*/ + { + Cell_handle ch = Cell_handle(_cell_iterator); + if (ch == _cell_iterator.previous()) + { + _curr_simplex = Simplex_3(); + break; + } + if (!cell_iterator_is_ahead()) //_curr_simplex does contain v + { + ++_cell_iterator;//cell_iterator needs to be ahead to detect degeneracies + } + else + ch = _cell_iterator.previous(); + + Cell_handle chnext = Cell_handle(_cell_iterator); + //_cell_iterator is one step forward _curr_simplex + CGAL_assertion(ch != chnext); + + Locate_type ltnext; + int linext, ljnext; + _cell_iterator.entry(ltnext, linext, ljnext); + + Cell_handle prev; + Locate_type ltprev; + int liprev, ljprev; + prev = _cell_iterator.previous(); + _cell_iterator.exit(ltprev, liprev, ljprev); + + switch (ltnext) + { + case Locate_type::VERTEX: + { + CGAL_assertion(_cell_iterator == _cell_iterator.end() + || get_vertex() != chnext->vertex(linext) + || triangulation()->is_infinite(chnext)); + if (_cell_iterator == _cell_iterator.end()) + { + if (prev == ch && ltprev == Locate_type::VERTEX) + { + CGAL_assertion(prev->vertex(liprev) == get_vertex()); + _curr_simplex = ch; + } + else + { + if(ltprev == Locate_type::FACET) + _curr_simplex = Facet(prev, liprev); + else if(ltprev == Locate_type::EDGE) + _curr_simplex = Edge(prev, liprev, ljprev); + else + CGAL_assertion(false); + } + } + else + { + if (triangulation()->is_infinite(chnext) && get_vertex() == chnext->vertex(linext)) + _curr_simplex = chnext; + else + { + Cell_handle ec; + int ei = -1, ej = -1; + if (!triangulation()->is_edge(get_vertex(), chnext->vertex(linext), ec, ei, ej)) + CGAL_assertion(false); + _curr_simplex = Edge(ec, ei, ej); + } + } + break; + } + + case Locate_type::EDGE: + { + //facet shared by get_vertex() and the edge + //none of ch and chnext is certainly shared by both endpoints + _curr_simplex = shared_facet(Edge(chnext, linext, ljnext), get_vertex()); + break; + } + + case Locate_type::OUTSIDE_AFFINE_HULL: + { + CGAL_assertion(_cell_iterator == _cell_iterator.end()); + if (ltprev == Locate_type::VERTEX) //vertex-edge-vertex-outside + { + if(prev->vertex(liprev) != get_vertex())//avoid infinite loop edge-vertex-same edge-... + _curr_simplex = Edge(prev, liprev, prev->index(get_vertex())); + else + _curr_simplex = Simplex_3(); + } + else if (ltprev == Locate_type::EDGE)//vertex-facet-edge-outside + _curr_simplex = Facet(prev, prev->index(get_vertex())); + else if (ltprev == Locate_type::FACET) //vertex-facet-outside + { + if(prev->vertex(liprev) != get_vertex()) //vertex-facet-outside + _curr_simplex = Facet(prev, liprev); + else //vertex-cell-facet-outside + _curr_simplex = prev; + } + else + { + CGAL_assertion(ltprev == Locate_type::CELL);//vertex-cell-outside + _curr_simplex = prev; + } + break; + } + + default://FACET + if (chnext == Cell_handle()) + _curr_simplex = Simplex_3(); + else + _curr_simplex = shared_cell(Facet(chnext, linext), get_vertex()); + break; + }; + } + break; + + default: + CGAL_assertion(false); + }; + return *this; + } + // provides the increment prefix operator. + Simplex_iterator operator++(int) + { + Simplex_iterator tmp(*this); + ++(*this); + return tmp; + } + + // provides a dereference operator. + /* \return a pointer to the current cell. + */ + const Simplex_3* operator->() { return &_curr_simplex; } + + // provides an indirection operator. + /* \return the current cell. + */ + const Simplex_3& operator*() { return _curr_simplex; } + + // provides a conversion operator. + /* \return the current simplex + */ + operator const Simplex_3() const { return _curr_simplex; } + + bool is_vertex() const { return _curr_simplex.dimension() == 0; } + bool is_edge() const { return _curr_simplex.dimension() == 1; } + bool is_facet() const { return _curr_simplex.dimension() == 2; } + bool is_cell() const { return _curr_simplex.dimension() == 3; } + + const Cell cell() const + { + return _cell_iterator.cell(); + } + + const Simplex_3& get_simplex() const { return _curr_simplex; } + Vertex_handle get_vertex() const + { + CGAL_assertion(is_vertex()); + return Vertex_handle(_curr_simplex); + } + Edge get_edge() const + { + CGAL_assertion(is_edge()); + return Edge(_curr_simplex); + } + Facet get_facet() const + { + CGAL_assertion(is_facet()); + return Facet(_curr_simplex); + } + Cell_handle get_cell() const + { + CGAL_assertion(is_cell()); + return Cell_handle(_curr_simplex); + } + +public: + //returns true in any of the degenerate cases, + //i.e. when _curr_simplex has the following values successively + // edge / facet / edge + // edge / facet / vertex + // vertex / facet / edge + // vertex / edge / vertex + // TODO : rename this function + bool is_collinear() const + { + int curr_dim = _curr_simplex.dimension(); + //this concerns only edges and facets + if (curr_dim == 1 || curr_dim == 2) + return cell_iterator_is_ahead(); + //the degeneracy has been detected by moving cell_iterator forward + else + return false; + } + + int simplex_dimension() const + { + return _curr_simplex.dimension(); + } + +private: + bool cell_iterator_is_ahead() const + { + Cell_handle ch = Cell_handle(_cell_iterator); + if(ch == Cell_handle()) + return true; + + switch (_curr_simplex.dimension()) + { + case 0 ://vertex + return !ch->has_vertex(get_vertex()); + case 1 ://edge + return !cell_has_edge(ch, get_edge()); + case 2 ://facet + return !cell_has_facet(ch, get_facet()); + case 3 ://cell + return ch != get_cell(); + default: + CGAL_assertion(false); + } + //should not be reached + CGAL_assertion(false); + return false; + } + + bool cell_has_edge(const Cell_handle ch, const Edge& e) const + { + Vertex_handle v1 = e.first->vertex(e.second); + Vertex_handle v2 = e.first->vertex(e.third); + return ch->has_vertex(v1) && ch->has_vertex(v2); + } + bool cell_has_facet(const Cell_handle c, const Facet& f) const + { + return f.first == c + || f.first->neighbor(f.second) == c; + } + + bool facet_has_edge(const Facet& f, const Edge& e) const + { + Vertex_handle v1 = e.first->vertex(e.second); + Vertex_handle v2 = e.first->vertex(e.third); + Cell_handle c = f.first; + const int fi = f.second; + + unsigned int count = 0; + for (int i = 1; i < 4; ++i) + { + Vertex_handle vi = c->vertex((fi + i) % 4); + if (vi == v1 || vi == v2) + ++count; + if (count == 2) + return true; + } + return false; + } + + bool edge_has_vertex(const Edge& e, const Vertex_handle v) const + { + return e.first->vertex(e.second) == v + || e.first->vertex(e.third) == v; + } + + Vertex_handle shared_vertex(const Edge& e1, const Edge& e2) const + { + Vertex_handle v1a = e1.first->vertex(e1.second); + Vertex_handle v1b = e1.first->vertex(e1.third); + Vertex_handle v2a = e2.first->vertex(e2.second); + Vertex_handle v2b = e2.first->vertex(e2.third); + + if (v1a == v2a || v1a == v2b) + return v1a; + else if (v1b == v2a || v1b == v2b) + return v1b; + + std::cerr << "There is no vertex shared by e1 and e2" << std::endl; + CGAL_assertion(false); + return Vertex_handle(); + } + + Facet shared_facet(const Edge& e1, const Edge& e2) const + { + Vertex_handle v2a = e2.first->vertex(e2.second); + Vertex_handle v2b = e2.first->vertex(e2.third); + + Vertex_handle sv = shared_vertex(e1, e2); + Vertex_handle nsv2 = (sv == v2a) ? v2b : v2a; + + typename Tr::Facet_circulator circ + = triangulation()->incident_facets(e1); + typename Tr::Facet_circulator end = circ; + do + { + Facet f = *circ; + for (int i = 1; i < 4; ++i) + { + if (nsv2 == f.first->vertex((f.second + i) % 4)) + return f; + } + } while (++circ != end); + + std::cerr << "There is no facet shared by e1 and e2" << std::endl; + CGAL_assertion(false); + return Facet(Cell_handle(), 0); + } + + Facet shared_facet(const Edge& e, const Vertex_handle v) const + { + typename Tr::Facet_circulator circ + = triangulation()->incident_facets(e); + typename Tr::Facet_circulator end = circ; + do + { + Facet f = *circ; + int i; + if (triangulation()->has_vertex(f, v, i)) + return f; + } while (++circ != end); + + std::cerr << "There is no facet shared by e and v" << std::endl; + CGAL_assertion(false); + return Facet(Cell_handle(), 0); + } + + Cell_handle shared_cell(const Edge& e, const Vertex_handle v) const + { + typename Tr::Cell_circulator circ + = triangulation()->incident_cells(e); + typename Tr::Cell_circulator end = circ; + do + { + Cell_handle c = circ; + if (c->has_vertex(v)) + return c; + } while (++circ != end); + + std::cerr << "There is no cell shared by e and v" << std::endl; + CGAL_assertion(false); + return Cell_handle(); + } + + Cell_handle shared_cell(const Facet& f, const Vertex_handle v) const + { + Cell_handle c = f.first; + if (c->has_vertex(v)) + return c; + else + { + c = f.first->neighbor(f.second); + CGAL_assertion(c->has_vertex(v)); + return c; + } + } + +};//class Triangulation_segment_simplex_iterator_3 + +} // namespace CGAL + +#include + +#endif // CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_H diff --git a/Triangulation_3/include/CGAL/internal/Triangulation_segment_traverser_3_impl.h b/Triangulation_3/include/CGAL/internal/Triangulation_segment_traverser_3_impl.h new file mode 100644 index 00000000000..663032162a4 --- /dev/null +++ b/Triangulation_3/include/CGAL/internal/Triangulation_segment_traverser_3_impl.h @@ -0,0 +1,1156 @@ +// Copyright (c) 2012 INRIA Sophia-Antipolis (France). +// All rights reserved. +// +// This file is part of CGAL (www.cgal.org). +// +// $URL$ +// $Id$ +// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial +// +// Author(s): Thijs van Lankveld, Jane Tournois + +#ifndef CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_IMPL_H +#define CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_IMPL_H + +#include + +namespace CGAL { + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr, Vertex_handle s, Vertex_handle t ) +: _tr(tr) { + CGAL_triangulation_precondition( !_tr->is_infinite(s) ); + CGAL_triangulation_precondition( !_tr->is_infinite(t) ); + CGAL_triangulation_precondition( s->point() != t->point() ); + CGAL_triangulation_precondition( _tr->dimension() >= 2 ); + + _source = s->point(); + _target = t->point(); + _s_vertex = s; + _t_vertex = t; + + Cell_handle c = s->cell(); + // If a vertex of an infinite cell, we start inside the convex hull. + int inf; + if( c->has_vertex( _tr->infinite_vertex(), inf ) ) + c = c->neighbor(inf); + + _cur = Simplex( c, Tr::VERTEX, c->index(s), -1 ); + + jump_to_intersecting_cell(); +} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr, Vertex_handle s, const Point& t ) +: _tr(tr) { + CGAL_triangulation_precondition( !_tr->is_infinite(s) ); + CGAL_triangulation_precondition( s->point() != t ); + CGAL_triangulation_precondition( _tr->dimension() >= 2 ); + CGAL_triangulation_precondition( _tr->dimension() == 3 || + orientation( *_tr->finite_facets_begin(), t ) == COPLANAR ); + + _source = s->point(); + _target = t; + _s_vertex = s; + _t_vertex = Vertex_handle(); + + Cell_handle c = s->cell(); + // If a vertex of an infinite cell, we start inside the convex hull. + int inf; + if( c->has_vertex( _tr->infinite_vertex(), inf ) ) + c = c->neighbor(inf); + + _cur = Simplex( c, Tr::VERTEX, c->index(s), -1 ); + + jump_to_intersecting_cell(); +} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr, const Point& s, Vertex_handle t, Cell_handle hint ) +: _tr(tr) { + CGAL_triangulation_precondition( !_tr->is_infinite(t) ); + CGAL_triangulation_precondition( s != t->point() ); + CGAL_triangulation_precondition( _tr->dimension() >= 2 ); + CGAL_triangulation_precondition( _tr->dimension() == 3 || + orientation( *_tr->finite_facets_begin(), s ) == COPLANAR ); + + _source = s; + _target = t->point(); + _s_vertex = Vertex_handle(); + _t_vertex = t; + + cell() = _tr->locate( s, lt(), li(), lj(), hint ); + + CGAL_triangulation_postcondition( cell() != Cell_handle() ); + + jump_to_intersecting_cell(); +} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr, const Point& s, const Point& t, Cell_handle hint ) +: _tr(tr) { + CGAL_triangulation_precondition( s != t ); + CGAL_triangulation_precondition( _tr->dimension() >= 2 ); + CGAL_triangulation_precondition( _tr->dimension() == 3 || + coplanar( *_tr->finite_facets_begin(), _target ) ); + + _source = s; + _target = t; + _s_vertex = Vertex_handle(); + _t_vertex = Vertex_handle(); + + cell() = _tr->locate( s, lt(), li(), lj(), hint ); + + CGAL_triangulation_postcondition( cell() != Cell_handle() ); + + jump_to_intersecting_cell(); +} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr, const Segment& s, Cell_handle hint ) +: Triangulation_segment_cell_iterator_3( tr, s.source(), s.target(), hint ) {} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3:: +Triangulation_segment_cell_iterator_3( const Tr* tr ) +: _tr(tr) {} + +template < class Tr, class Inc > +Triangulation_segment_cell_iterator_3 +Triangulation_segment_cell_iterator_3::end() const { + SCI sci(_tr); + std::get<0>(sci._cur) = Cell_handle(); + return sci; +} + +template < class Tr, class Inc > +inline Triangulation_segment_cell_iterator_3& +Triangulation_segment_cell_iterator_3::operator++() { + CGAL_triangulation_precondition( cell() != Cell_handle() ); + increment(); + return *this; +} + +template < class Tr, class Inc > +inline Triangulation_segment_cell_iterator_3 +Triangulation_segment_cell_iterator_3::operator++( int ) { + SCI tmp( *this ); + ++( *this ); + return tmp; +} + +template < class Tr, class Inc > +inline typename Triangulation_segment_cell_iterator_3::Cell_handle +Triangulation_segment_cell_iterator_3::complete() { + while( has_next() ) + increment(); + return prev_cell(); +} + +template < class Tr, class Inc > +inline bool Triangulation_segment_cell_iterator_3:: +operator==( const SCI& sci ) const { + // To be equal, the iterators must traverse the same triangulations + // and they must have the same current cell. + return ( _tr == sci._tr && + cell() == sci.cell() ); +} + +template < class Tr, class Inc > +inline bool Triangulation_segment_cell_iterator_3:: +operator!=( const SCI& sci ) const { + return !( *this == sci ); +} + +template < class Tr, class Inc > +inline bool Triangulation_segment_cell_iterator_3:: +operator==( Nullptr_t CGAL_triangulation_assertion_code(n) ) const { + CGAL_triangulation_assertion( n == NULL ); + return cell() == Cell_handle(); +} + +template < class Tr, class Inc > +inline bool Triangulation_segment_cell_iterator_3:: +operator!=( Nullptr_t n ) const { + return !( *this == n ); +} + +template < class Tr, class Inc > +void Triangulation_segment_cell_iterator_3:: +jump_to_intersecting_cell() +{ + //copy current simplex + Cell_handle ch = cell(); + Locate_type lt; + int li, clj; + entry(lt, li, clj); + + if (lt == Tr::FACET || lt == Tr::EDGE || lt == Tr::VERTEX) + { + //go forward once in the iterator + Triangulation_segment_cell_iterator_3 cit(*this); + ++cit; + + // collect the properties of "previous" to be in the right cell + Cell_handle new_ch = cit.previous(); + if (new_ch == ch) //initialization already went to the good cell + return; + + if (lt == Tr::VERTEX) + { + cell() = new_ch; + //lt() is Locate_type and unchanged + this->li() = new_ch->index(ch->vertex(li)); + //lj() is lj and unchanged + CGAL_assertion(cell()->vertex(this->li()) == ch->vertex(li)); + } + else if (lt == Tr::EDGE) + { + cell() = new_ch; + //lt() is Locate_type and unchanged + this->li() = new_ch->index(ch->vertex(li)); + this->lj() = new_ch->index(ch->vertex(clj)); + } + else + { + cell() = new_ch; + //lt() is Locate_type and unchanged + this->li() = new_ch->index(ch); + //lj() is lj and unchanged + } + } + + //for other cases (CELL, OUTSIDE_CONVEX_HULL, OUTSIDE_AFFINE_HULL) + //the entry cell is already the good one, given by `locate()` + //in the traverser constructor +} + +template < class Tr, class Inc > +void Triangulation_segment_cell_iterator_3:: +walk_to_next() { + CGAL_triangulation_precondition( has_next() ); + + // Check if the target is in the current cell. + int ti; + if( cell()->has_vertex( _t_vertex, ti ) ) { + // The target is inside the cell. + _prev = Simplex( cell(), Tr::VERTEX, ti, -1 ); + cell() = Cell_handle(); + return; + } + + // Walks to the next cell over a facet intersected by the line from source to target. + // This method is based on Triangulation_3::locate(). + int inf; + switch( _tr->dimension() ) { + case 3: { + // Infinite cells should be handled differently. + if( cell()->has_vertex( _tr->infinite_vertex(), inf ) ) + walk_to_next_3_inf( inf ); + else + { + const Simplex backup = _cur; + do { + std::pair p = walk_to_next_3(_prev, _cur); + _prev = p.first; + _cur = p.second; + + } while (cell() != Cell_handle()//end + && !cell()->has_vertex(_tr->infinite_vertex(), inf) + && have_same_entry(backup, _cur)); + } + break; + } + case 2: { + if( cell()->has_vertex( _tr->infinite_vertex(), inf ) ) + walk_to_next_2_inf( inf ); + else + walk_to_next_2(); + break; + } + } +#ifdef CGAL_TRIANGULATION_3_TRAVERSER_CHECK_INTERSECTION + if(_tr->dimension() == 3) + { + Cell_handle c = cell(); + if (c != Cell_handle() && !_tr->is_infinite(c)) //hard to say anything in this case + { + typename Tr::Segment seg(_source, _target); + bool intersects = false; + for (int i = 0; i < 4; ++i) + { + if (!_tr->is_infinite(c, i) + && CGAL::do_intersect(_tr->triangle(c, i), seg)) + { + intersects = true; + break; + } + } + CGAL_assertion(intersects); + } + } +#endif +} + +template +bool Triangulation_segment_cell_iterator_3:: +have_same_entry(const Simplex& s1, const Simplex& s2) const +{ + //type + if (std::get<1>(s1) != std::get<1>(s2)) + return false; + switch (std::get<1>(s1)) + { + case Locate_type::VERTEX: + return std::get<0>(s1)->vertex(std::get<2>(s1)) == std::get<0>(s2)->vertex(std::get<2>(s2)); + case Locate_type::EDGE: + { + Vertex_handle v1a = std::get<0>(s1)->vertex(std::get<2>(s1)); + Vertex_handle v1b = std::get<0>(s1)->vertex(std::get<3>(s1)); + Vertex_handle v2a = std::get<0>(s2)->vertex(std::get<2>(s2)); + Vertex_handle v2b = std::get<0>(s2)->vertex(std::get<3>(s2)); + return (v1a == v2a && v1b == v2b) + || (v1a == v2b && v1b == v2a); + } + case Locate_type::FACET: + return triangulation()->are_equal(Facet(std::get<0>(s1), std::get<2>(s1)), + Facet(std::get<0>(s2), std::get<2>(s2))); + default: + CGAL_assertion(false); + }; + return false; +} + +template < class Tr, class Inc > +std::pair::Simplex, + typename Triangulation_segment_cell_iterator_3::Simplex > +Triangulation_segment_cell_iterator_3::walk_to_next_3(const Simplex& prev, + const Simplex& cur) const +{ + std::array vert + = {&(std::get<0>(cur)->vertex(0)->point()), + &(std::get<0>(cur)->vertex(1)->point()), + &(std::get<0>(cur)->vertex(2)->point()), + &(std::get<0>(cur)->vertex(3)->point()) }; + + int inside=0,outside=0,regular_case=0,degenerate=0; + Cell_handle nnext; + + if (std::get<1>(cur) == Tr::FACET) { + regular_case = 1; + int i = std::get<2>(cur); + int j0 = Tr::vertex_triple_index(i, 0); + int j1 = Tr::vertex_triple_index(i, 1); + int j2 = Tr::vertex_triple_index(i, 2); + Orientation o0 = _tr->orientation(_source, *vert[i], *vert[j0], _target); + if (o0 == POSITIVE) { + Orientation o1 = _tr->orientation(_source, *vert[i], *vert[j1], _target); + if (o1 != POSITIVE) { + if (_tr->orientation(*vert[i], *vert[j0], *vert[j1], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j2); + outside = j2; + if (o1 == ZERO) degenerate = 1; //EDGE i j1 + } + else + inside = 1; + } + else { + if (_tr->orientation(*vert[i], *vert[j1], *vert[j2], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j0); + outside = j0; + } + else + inside = 2; + } + } + else if (o0 == ZERO) { + Orientation o1 = _tr->orientation(_source, *vert[i], *vert[j1], _target); + if (o1 == NEGATIVE) { + if (_tr->orientation(*vert[i], *vert[j0], *vert[j1], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j2); //EDGE i j0 + degenerate = 2; + outside = 44; + } + else + inside = 3; + } + else if (o1 == ZERO) { + if (_tr->orientation(*vert[i], *vert[j0], *vert[j2], _target) == POSITIVE) + inside = 55; + else + { + nnext = std::get<0>(cur)->neighbor(j2); //VERTEX i + degenerate = 3; + outside = 5; + } + } + else { + if (_tr->orientation(*vert[i], *vert[j1], *vert[j2], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j0); + outside = j0; + } + else + inside = 4; + } + } + else { + Orientation o2 = _tr->orientation(_source, *vert[i], *vert[j2], _target); + if (o2 != NEGATIVE) { + if (_tr->orientation(*vert[i], *vert[j2], *vert[j0], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j1); + outside = j1; + if (o2 == ZERO) degenerate = 4; // EDGE i j2 + } + else + inside = 5; + } + else { + if (_tr->orientation(*vert[i], *vert[j1], *vert[j2], _target) == POSITIVE) { + nnext = std::get<0>(cur)->neighbor(j0); + outside = j0; + } + else + inside = 6; + } + } + + if ((!degenerate) && (!inside)) + { + Simplex prev_after_walk(std::get<0>(cur), Tr::FACET, outside, -1); + Simplex cur_after_walk( nnext, Tr::FACET, nnext->index(std::get<0>(cur)), -1); + return std::make_pair(prev_after_walk, cur_after_walk); + } + + if ((!degenerate) && inside) + { + Simplex prev_after_walk(std::get<0>(cur), Tr::CELL, -1, -1); + Simplex cur_after_walk(Cell_handle(), Tr::OUTSIDE_AFFINE_HULL, -1, -1); + return std::make_pair(prev_after_walk, cur_after_walk); + } + } + + + // We check in which direction the target lies + // by comparing its position relative to the planes through the + // source and the edges of the cell. + Orientation o[6]; + Orientation op[4]; + int pos = 0; + // We keep track of which orientations are calculated. + bool calc[6] = { false, false, false, false, false, false }; + + if( std::get<1>(cur) == Tr::VERTEX ) { + // The three planes through the vertex are set to coplanar. + for( int j = 0; j < 4; ++j ) { + if( std::get<2>(cur) != j ) { + int ij = edgeIndex( std::get<2>(cur), j ); + o[ij] = COPLANAR; + calc[ij] = true; + } + } + } + else if( std::get<1>(cur) == Tr::EDGE ) { + // The plane through the edge is set to coplanar. + int ij = edgeIndex( std::get<2>(cur), std::get<3>(cur) ); + o[ij] = COPLANAR; + calc[ij] = true; + } + + // For the remembering stochastic walk, we start trying with a random facet. + int li = 0; + CGAL_triangulation_assertion_code( bool incell = true; ) + for( int k = 0; k < 4; ++k, ++li ) + { + // Skip the previous cell. + Cell_handle next = std::get<0>(cur)->neighbor(li); + if( next == std::get<0>(prev) ) + { + op[li] = POSITIVE; + pos += li; + continue; + } + const Point* backup = vert[li]; + vert[li] = &_target; + + // Check if the target is on the opposite side of the supporting plane. + op[li] = _tr->orientation( *vert[0], *vert[1], *vert[2], *vert[3] ); + if( op[li] == POSITIVE ) + pos += li; + if( op[li] != NEGATIVE ) { + vert[li] = backup; + continue; + } + CGAL_triangulation_assertion_code( incell = false; ) + + // Check if the target is inside the 3-wedge with + // the source as apex and the facet as an intersection. + int lj = 0; + int Or = 0; + for( int l = 0; l < 4; ++l, ++lj ) { + if( li == lj ) + continue; + + // We check the orientation of the target compared to the plane + // Through the source and the edge opposite of ij. + int oij = 5 - edgeIndex( li, lj ); + if( !calc[oij] ) { + const Point* backup2 = vert[lj]; + vert[lj] = &_source; + o[oij] = _tr->orientation( *vert[0], *vert[1], *vert[2], *vert[3] ); + vert[lj] = backup2; + calc[oij] = true; + } + + if( o[oij] == POSITIVE ) { + // The target is not inside the pyramid. + // Invert the planes. + // This can be safely done because either + // they were not calculated yet, + // or they will no longer be used. + for( int j = 0; j < 4; ++j ) { + if( li == j ) continue; + int oij = 5 - edgeIndex( li, j ); + o[oij] = -o[oij]; + } + Or = 0; + break; + } + else + Or -= o[oij]; + } + + if( Or == 0 ) { + // Either the target is not inside the pyramid, + // or the pyramid is degenerate. + vert[li] = backup; + continue; + } + + // The target is inside the pyramid. + + Simplex prev_after_walk; + Simplex cur_after_walk; + + std::get<0>(prev_after_walk) = std::get<0>(cur); + std::get<0>(cur_after_walk) = next; + switch( Or ) { + case 3: + std::get<1>(prev_after_walk) = Tr::FACET; + std::get<2>(prev_after_walk) = li; + std::get<1>(cur_after_walk) = Tr::FACET; + std::get<2>(cur_after_walk) = std::get<0>(cur_after_walk)->index(std::get<0>(prev_after_walk)); + + if(regular_case) + { + CGAL_triangulation_assertion( std::get<0>(cur_after_walk)==nnext ); + CGAL_triangulation_assertion( li==outside ); + CGAL_triangulation_assertion( ! inside ); + } + return std::make_pair(prev_after_walk, cur_after_walk); + + case 2: + if(regular_case) + CGAL_triangulation_assertion(degenerate ); + + std::get<1>(prev_after_walk) = Tr::EDGE; + std::get<1>(cur_after_walk) = Tr::EDGE; + for( int j = 0; j < 4; ++j ) { + if( li != j && o[ 5 - edgeIndex(li, j) ] == COPLANAR) { + Edge opp = opposite_edge( std::get<0>(prev), li, j ); + std::get<2>(prev_after_walk) = opp.second; + std::get<3>(prev_after_walk) = opp.third; + std::get<2>(cur_after_walk) + = std::get<0>(cur_after_walk)->index( + std::get<0>(prev_after_walk)->vertex( std::get<2>(prev_after_walk) ) ); + std::get<3>(cur_after_walk) + = std::get<0>(cur_after_walk)->index( + std::get<0>(prev_after_walk)->vertex( std::get<3>(prev_after_walk) ) ); + + return std::make_pair(prev_after_walk, cur_after_walk); + } + } + CGAL_triangulation_assertion( false ); + return std::make_pair(prev, cur); + case 1: + if(regular_case) + CGAL_triangulation_assertion(degenerate ); + + std::get<1>(prev_after_walk) = Tr::VERTEX; + std::get<1>(cur_after_walk) = Tr::VERTEX; + for( int j = 0; j < 4; ++j ) { + if( li != j && o[ 5 - edgeIndex(li, j) ] == NEGATIVE ) { + std::get<2>(prev_after_walk) = j; + std::get<2>(cur_after_walk) + = std::get<0>(cur_after_walk)->index( + std::get<0>(prev_after_walk)->vertex(j) ); + + return std::make_pair(prev_after_walk, cur_after_walk); + } + } + CGAL_triangulation_assertion( false ); + return std::make_pair(prev, cur); + default: + CGAL_triangulation_assertion( false ); + return std::make_pair(prev, cur); + } + } + + // The target lies inside this cell. + Simplex prev_after_walk; + CGAL_triangulation_assertion( incell ); + switch( op[0] + op[1] + op[2] + op[3] ) { + case 4: + CGAL_triangulation_assertion( pos == 6 ); + prev_after_walk = Simplex( std::get<0>(cur), Tr::CELL, -1, -1 ); + CGAL_triangulation_assertion( (! regular_case) || inside ); + break; + + case 3: + prev_after_walk = Simplex( std::get<0>(cur), Tr::FACET, 6-pos, -1 ); + break; + case 2: + if( pos < 3 ) + prev_after_walk = Simplex( std::get<0>(cur), Tr::EDGE, 0, pos+1 ); + else if( pos < 5 ) + prev_after_walk = Simplex( std::get<0>(cur), Tr::EDGE, 1, pos-1 ); + else + prev_after_walk = Simplex( std::get<0>(cur), Tr::EDGE, 2, 3 ); + break; + case 1: + prev_after_walk = Simplex( std::get<0>(cur), Tr::VERTEX, pos, -1 ); + break; + default: + prev_after_walk = Simplex( std::get<0>(cur), Tr::OUTSIDE_AFFINE_HULL, -1, -1 ); + CGAL_triangulation_assertion( false ); + } + + Simplex cur_after_walk(Cell_handle(), Tr::OUTSIDE_AFFINE_HULL, -1, -1); + return std::make_pair(prev_after_walk, cur_after_walk); +} + +template < class Tr, class Inc > +void Triangulation_segment_cell_iterator_3:: +walk_to_next_3_inf( int inf ) +{ + CGAL_triangulation_precondition( _tr->is_infinite( cell()->vertex(inf) ) ); + + // If this cell was reached by traversal from a finite one, it must be the final cell. + Cell_handle fin = cell()->neighbor(inf); + if( fin == prev_cell() ) { + _prev = _cur; + cell() = Cell_handle(); + return; + } + + std::array < Point*, 4> vert; + for( int i = 0; i != 4; ++i ) + if( i != inf ) + vert[i] = &(cell()->vertex(i)->point()); + vert[inf] = &_target; + Orientation o[4]; + + // Check if the target lies outside the convex hull. + if( _tr->orientation( *vert[0], *vert[1], *vert[2], *vert[3] ) == POSITIVE ) { + // The target lies in an infinite cell. + // Note that we do not traverse to other infinite cells. + _prev = Simplex( cell(), Tr::OUTSIDE_CONVEX_HULL, -1, -1 ); + cell() = Cell_handle(); + return; + } + + vert[inf] = &(_source); + CGAL_triangulation_assertion( _tr->orientation( *vert[0], *vert[1], *vert[2], *vert[3] ) == POSITIVE ); + + int li = 0; + // Check if the line enters an adjacent infinite cell. + // This occurs if the target lies on the other side of + // a plane through one of the finite edges and the source point. + for( int j = 0; j != 4; ++j, ++li ) { + if( li == inf ) { + o[li] = COPLANAR; + continue; + } + + // Skip the previous cell. + Cell_handle next = cell()->neighbor(li); + if( next == prev_cell() ) { + o[li] = POSITIVE; + continue; + } + + Point* backup = vert[li]; + vert[li] = &(_target); + o[li] = _tr->orientation( *vert[0], *vert[1], *vert[2], *vert[3] ); + + if( o[li] != NEGATIVE ) { + vert[li] = backup; + continue; + } + + // The target lies behind the plane through the source and two finite vertices. + // Traverse to the incident infinite cell. + CGAL_triangulation_assertion( _tr->is_infinite( next ) ); + _prev = Simplex( cell(), Tr::FACET, li, -1 ); + _cur = Simplex( next, Tr::FACET, next->index( prev_cell() ), -1 ); + return; + } + + // The line enters the convex hull here (or lies on the finite facet). + prev_cell() = cell(); + cell() = fin; + + // Check through which simplex the line traverses. + switch( o[0]+o[1]+o[2]+o[3] ) { + case 3: + prev_lt() = Tr::FACET; + prev_li() = inf; + lt() = Tr::FACET; + this->li() = cell()->index(prev_cell()); + return; + case 2: + prev_lt() = Tr::EDGE; + lt() = Tr::EDGE; + for( int i = 0; i < 4; ++i ) { + if( o[i] == COPLANAR && i != inf ) { + Edge opp = opposite_edge( prev_cell(), inf, i ); + prev_li() = opp.second; + prev_lj() = opp.third; + this->li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + this->lj() = cell()->index( prev_cell()->vertex( prev_lj() ) ); + return; + } + } + CGAL_triangulation_assertion( false ); + return; + case 1: + prev_lt() = Tr::VERTEX; + lt() = Tr::VERTEX; + for( int i = 0; i < 4; ++i ) { + if( o[i] == POSITIVE ) { + prev_li() = i; + this->li() = cell()->index( prev_cell()->vertex(i) ); + return; + } + } + CGAL_triangulation_assertion( false ); + return; + default: + CGAL_triangulation_assertion( false ); + return; + } +} + +template < class Tr, class Inc > +void Triangulation_segment_cell_iterator_3:: +walk_to_next_2() +{ + std::array vert + = { &(cell()->vertex(0)->point()), + &(cell()->vertex(1)->point()), + &(cell()->vertex(2)->point()) }; + + typename Gt::Coplanar_orientation_3 coplanar_orientation + = _tr->geom_traits().coplanar_orientation_3_object(); + + switch( lt() ) { + case Tr::VERTEX: { + // First we try the incident edges. + Orientation ocw = coplanar_orientation( *vert[li()], *vert[_tr->cw(li())], *vert[_tr->ccw(li())], _target ); + if( cell()->neighbor( _tr->ccw(li()) ) != prev_cell() && ocw == NEGATIVE) { + Cell_handle tmp = cell()->neighbor( _tr->ccw(li()) ); + _prev = _cur; + cell() = tmp; + li() = cell()->index( prev_cell()->vertex(li()) ); + return; + } + Orientation occw = coplanar_orientation( *vert[li()], *vert[_tr->ccw(li())], *vert[_tr->cw(li())], _target ); + if( cell()->neighbor( _tr->cw(li()) ) != prev_cell() && occw == NEGATIVE) { + Cell_handle tmp = cell()->neighbor( _tr->cw(li()) ); + _prev = _cur; + cell() = tmp; + li() = cell()->index( prev_cell()->vertex(li()) ); + return; + } + + // Then we try the opposite edge. + Orientation op = coplanar_orientation( *vert[_tr->ccw(li())], *vert[_tr->cw(li())], *vert[li()], _target ); + if( op == NEGATIVE) { + Cell_handle tmp = cell()->neighbor(li()); + prev_cell() = cell(); + cell() = tmp; + + switch( ocw+occw ) { + case 2: + prev_lt() = Tr::EDGE; + prev_li() = _tr->ccw( li() ); + prev_lj() = _tr->cw( li() ); + lt() = Tr::EDGE; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + lj() = cell()->index( prev_cell()->vertex( prev_lj() ) ); + return; + case 1: + prev_lt() = Tr::VERTEX; + lt() = Tr::VERTEX; + if( ocw == COLLINEAR ) prev_li() = _tr->cw( li() ); + else li() = _tr->ccw( li() ); + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + return; + default: + // The current vertex is the target. + CGAL_triangulation_assertion(false); + return; + } + } + + // The target lies in this cell. + switch( ocw+occw+op ) { + case 3: + _prev = Simplex( cell(), Tr::FACET, 3, -1 ); + break; + case 2: + if( ocw == 0 ) + _prev = Simplex( cell(), Tr::EDGE, _tr->ccw(li()), -1 ); + else if( occw == 0 ) + _prev = Simplex( cell(), Tr::EDGE, _tr->cw(li()), -1 ); + else + _prev = Simplex( cell(), Tr::EDGE, li(), -1 ); + break; + case 1: + if( ocw == 1 ) + _prev = Simplex( cell(), Tr::VERTEX, _tr->ccw(li()), -1 ); + else if( occw == 1 ) + _prev = Simplex( cell(), Tr::VERTEX, _tr->cw(li()), -1 ); + else + _prev = Simplex( cell(), Tr::VERTEX, li(), -1 ); + break; + case 0: + CGAL_triangulation_assertion(false); + _prev = Simplex( cell(), Tr::OUTSIDE_AFFINE_HULL, -1, -1 ); + break; + } + cell() = Cell_handle(); + return; + } + case Tr::EDGE: { + int lk = 3 - li() - lj(); + + if( cell()->neighbor(lk) != prev_cell() ) { + // Check the edge itself + switch(coplanar_orientation( *vert[li()], *vert[lj()], *vert[lk], _target ) ) { + //_prev = _cur; //code not reached + case COLLINEAR: + // The target lies in this cell. + cell() = Cell_handle(); + return; + case NEGATIVE: { + // The target lies opposite of the edge. + Cell_handle tmp = cell()->neighbor(lk); + cell() = tmp; + li() = cell()->index( prev_cell()->vertex(li()) ); + lj() = cell()->index( prev_cell()->vertex(lj()) ); + return; + } + default: + break; + } + } + + typename Gt::Collinear_3 collinear + = _tr->geom_traits().collinear_3_object(); + Orientation o = coplanar_orientation( _source, *vert[lk], *vert[li()], _target ); + Orientation op; + switch( o ) { + case POSITIVE: { + // The ray passes through the edge ik. + op = coplanar_orientation( *vert[lk], *vert[li()], _source, _target ); + if( op == NEGATIVE ) { + Cell_handle tmp = cell()->neighbor(lj()); + prev_cell() = cell(); + cell() = tmp; + + if( collinear( _source, *vert[li()], _target ) ) { + prev_lt() = Tr::VERTEX; + prev_li() = li(); + lt() = Tr::VERTEX; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + } + else { + prev_lt() = Tr::EDGE; + prev_li() = li(); + prev_lj() = lk; + lt() = Tr::EDGE; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + lj() = cell()->index( prev_cell()->vertex( prev_lj() ) ); + } + return; + } + break; + } + default: { + // The ray passes through the edge jk. + op = coplanar_orientation( *vert[lk], *vert[lj()], _source, _target ); + if( op == NEGATIVE ) { + Cell_handle tmp = cell()->neighbor(li()); + prev_cell() = cell(); + cell() = tmp; + + if( collinear( _source, *vert[lj()], _target ) ) { + prev_lt() = Tr::VERTEX; + prev_li() = lj(); + lt() = Tr::VERTEX; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + } + else if( o == COLLINEAR ) { + prev_lt() = Tr::VERTEX; + prev_li() = lk; + lt() = Tr::VERTEX; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + } + else { + prev_lt() = Tr::EDGE; + prev_li() = lk; + prev_lj() = lj(); + lt() = Tr::EDGE; + li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + lj() = cell()->index( prev_cell()->vertex( prev_li() ) ); + } + return; + } + break; + } + } + + // The target lies in this cell. + if( op == POSITIVE ) + _prev = Simplex( cell(), Tr::FACET, 3, -1 ); + else { + CGAL_triangulation_assertion( op == ZERO ); + switch( o ) { + case POSITIVE: + _prev = Simplex( cell(), Tr::EDGE, li(), lk ); + break; + case NEGATIVE: + _prev = Simplex( cell(), Tr::EDGE, lj(), lk ); + break; + case ZERO: + _prev = Simplex( cell(), Tr::VERTEX, lk, -1 ); + break; + } + } + cell() = Cell_handle(); + return; + } + case Tr::FACET: { + int li = 0; + + Orientation o[3]; + bool calc[3] = { false, false, false }; + + for( int j = 0; j != 3; ++j, li = _tr->ccw(li) ) { + Cell_handle next = cell()->neighbor(li); + if( next == prev_cell() ) + continue; + + // The target should lie on the other side of the edge. + Orientation op = coplanar_orientation( *vert[_tr->ccw(li)], *vert[_tr->cw(li)], *vert[li], _target ); + if( op == POSITIVE ) + continue; + + // The target should lie inside the wedge. + if( !calc[_tr->ccw(li)] ) { + o[_tr->ccw(li)] = coplanar_orientation( _source, *vert[_tr->ccw(li)], *vert[_tr->cw(li)], _target ); + calc[_tr->ccw(li)] = true; + } + if( o[_tr->ccw(li)] == NEGATIVE ) + continue; + else if( op == COLLINEAR && o[_tr->ccw(li)] == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->ccw(li), -1 ); + cell() = Cell_handle(); + return; + } + + if( !calc[_tr->cw(li)] ) { + o[_tr->cw(li)] = coplanar_orientation( _source, *vert[_tr->cw(li)], *vert[li], _target ); + calc[_tr->cw(li)] = true; + } + if( o[_tr->cw(li)] == POSITIVE ) + continue; + else if( op == COLLINEAR && o[_tr->cw(li)] == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->cw(li), -1 ); + cell() = Cell_handle(); + return; + } + + prev_cell() = cell(); + cell() = next; + + switch( o[_tr->ccw(li)] + o[_tr->cw(li)] ) { + case 2: + prev_lt() = Tr::EDGE; + prev_li() = _tr->ccw(li); + prev_lj() = _tr->cw(li); + lt() = Tr::EDGE; + this->li() = cell()->index( prev_cell()->vertex( _tr->ccw(li) ) ); + this->lj() = cell()->index( prev_cell()->vertex( _tr->cw(li) ) ); + return; + case 1: + prev_lt() = Tr::VERTEX; + this->lt() = Tr::VERTEX; + if( o[_tr->ccw(li)] == COLLINEAR ) prev_li() = _tr->ccw(li); + else prev_li() = _tr->cw(li); + this->li() = cell()->index( prev_cell()->vertex( prev_li() ) ); + return; + default: + CGAL_triangulation_assertion( false ); + return; + } + } + + // The target lies in this cell. + _prev = Simplex( cell(), Tr::FACET, 3, -1 ); + cell() = Cell_handle(); + return; + } + default: + CGAL_triangulation_assertion( false ); + } +} + +template < class Tr, class Inc > +void Triangulation_segment_cell_iterator_3:: +walk_to_next_2_inf( int inf ) +{ + CGAL_triangulation_precondition( _tr->is_infinite( cell()->vertex(3) ) ); + CGAL_triangulation_precondition( _tr->is_infinite( cell()->vertex(inf) ) ); + + // If this cell was reached by traversal from a finite one, it must be the final cell. + Cell_handle fin = cell()->neighbor(inf); + if (fin == prev_cell()) { + _prev = _cur; + cell() = Cell_handle(); + return; + } + + typename Gt::Coplanar_orientation_3 coplanar_orientation + = _tr->geom_traits().coplanar_orientation_3_object(); + + // Check the neighboring cells. + Orientation occw = coplanar_orientation( _source, + cell()->vertex( _tr->ccw(inf))->point(), + cell()->vertex(_tr->cw(inf))->point(), + _target ); + if( occw == NEGATIVE ) { + Cell_handle tmp = cell()->neighbor(_tr->cw(inf)); + _prev = Simplex( cell(), Tr::EDGE, _tr->ccw(inf), inf ); + _cur = Simplex( tmp, Tr::EDGE, tmp->index( prev_cell()->vertex( prev_li() ) ), tmp->index( prev_cell()->vertex( prev_lj() ) ) ); + return; + } + Orientation ocw = coplanar_orientation( _source, + cell()->vertex( _tr->cw(inf))->point(), + cell()->vertex(_tr->ccw(inf))->point(), + _target ); + if( ocw == NEGATIVE ) { + Cell_handle tmp = cell()->neighbor(_tr->ccw(inf)); + _prev = Simplex( cell(), Tr::EDGE, _tr->cw(inf), inf ); + _cur = Simplex( tmp, Tr::EDGE, tmp->index( prev_cell()->vertex( prev_li() ) ), tmp->index( prev_cell()->vertex( prev_lj() ) ) ); + return; + } + Orientation op = coplanar_orientation( + cell()->vertex( _tr->ccw(inf) )->point(), + cell()->vertex( _tr->cw(inf) )->point(), + _source, _target ); + switch( op ) { + case NEGATIVE: + if( occw == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->ccw(inf), -1 ); + _cur = Simplex( fin, Tr::VERTEX, fin->index( prev_cell()->vertex( prev_li() ) ), -1 ); + return; + } + if( ocw == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->cw(inf), -1 ); + _cur = Simplex( fin, Tr::VERTEX, fin->index( prev_cell()->vertex( prev_li() ) ), -1 ); + return; + } + _prev = Simplex( cell(), Tr::EDGE, _tr->ccw(inf), _tr->cw(inf) ); + _cur = Simplex( fin, Tr::EDGE, fin->index( prev_cell()->vertex( prev_li() ) ), fin->index( prev_cell()->vertex( prev_lj() ) ) ); + return; + case COLLINEAR: + if( occw == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->ccw(inf), -1 ); + cell() = Cell_handle(); + return; + } + if( ocw == COLLINEAR ) { + _prev = Simplex( cell(), Tr::VERTEX, _tr->cw(inf), -1 ); + cell() = Cell_handle(); + return; + } + _prev = Simplex( cell(), Tr::EDGE, _tr->ccw(inf), _tr->cw(inf) ); + cell() = Cell_handle(); + return; + case POSITIVE: + // The tarstd::std::get lies in this infinite cell. + _prev = Simplex( cell(), Tr::OUTSIDE_CONVEX_HULL, -1, -1 ); + cell() = Cell_handle(); + return; + } +} + +template < class Tr, class Inc > +CGAL::Orientation +Triangulation_segment_cell_iterator_3::orientation( + const Facet& f, const Point& p) const +{ + return _tr->orientation( + f.first->vertex(Tr::vertex_triple_index(f.second, 0))->point(), + f.first->vertex(Tr::vertex_triple_index(f.second, 1))->point(), + f.first->vertex(Tr::vertex_triple_index(f.second, 2))->point(), + p); +} + +template < class Tr, class Inc > +bool +Triangulation_segment_cell_iterator_3::coplanar( + const Facet& f, const Point& p) const +{ + return orientation(f, p) == COPLANAR; +} + +template < class Tr, class Inc > +typename Triangulation_segment_cell_iterator_3::Edge +Triangulation_segment_cell_iterator_3::opposite_edge( + Cell_handle c, int li, int lj) const +{ + CGAL_triangulation_precondition(li >= 0 && li < 4); + CGAL_triangulation_precondition(lj >= 0 && lj < 4); + CGAL_triangulation_precondition(li != lj); + + switch (6 - li - lj) { // i + j + missing indices = 6. + case 1: return Edge(c, 0, 1); + case 2: return Edge(c, 0, 2); + case 3: return (li == 0 || lj == 0) ? Edge(c, 1, 2) : Edge(c, 0, 3); + case 4: return Edge(c, 1, 3); + case 5: return Edge(c, 2, 3); + } + + CGAL_triangulation_assertion(false); + return Edge(); +} + +template < class Tr, class Inc > +typename Triangulation_segment_cell_iterator_3::Edge +Triangulation_segment_cell_iterator_3::opposite_edge( + const Edge& e) const +{ + return opposite_edge(e.first, e.second, e.third); +} + + +} //end of CGAL namespace + +#endif // CGAL_TRIANGULATION_SEGMENT_TRAVERSER_3_IMPL_H diff --git a/Triangulation_3/test/Triangulation_3/CMakeLists.txt b/Triangulation_3/test/Triangulation_3/CMakeLists.txt index 4dfcc8c4bb5..c892cbd99e3 100644 --- a/Triangulation_3/test/Triangulation_3/CMakeLists.txt +++ b/Triangulation_3/test/Triangulation_3/CMakeLists.txt @@ -27,6 +27,9 @@ if ( CGAL_FOUND ) create_single_source_cgal_program( "test_RT_cell_base_with_weighted_circumcenter_3.cpp" ) create_single_source_cgal_program( "test_robust_weighted_circumcenter.cpp" ) create_single_source_cgal_program( "test_simplex_3.cpp" ) + create_single_source_cgal_program( "test_simplex_iterator_3.cpp" ) + create_single_source_cgal_program( "test_segment_cell_traverser_3.cpp" ) + create_single_source_cgal_program( "test_segment_simplex_traverser_3.cpp" ) create_single_source_cgal_program( "test_static_filters.cpp" ) create_single_source_cgal_program( "test_triangulation_3.cpp" ) create_single_source_cgal_program( "test_io_triangulation_3.cpp" ) diff --git a/Triangulation_3/test/Triangulation_3/data/blobby.xyz b/Triangulation_3/test/Triangulation_3/data/blobby.xyz new file mode 100644 index 00000000000..79361121744 --- /dev/null +++ b/Triangulation_3/test/Triangulation_3/data/blobby.xyz @@ -0,0 +1,3288 @@ +0.092818821121200379 0.13662366613073784 0.11656471345703165 0 0 0 +0.076732984887419697 0.067323553856659224 0.029614529021827957 0 0 0 +-0.1090787838162971 0.10551983779004775 0.0071798521552504935 0 0 0 +-0.19017371055567872 0.064482799747027919 -0.025606212415708235 0 0 0 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0.0083780421928898174 -0.063444677279566875 0 0 0 +-0.16904687967208448 0.11442875496528759 -0.018520889708375565 0 0 0 +-0.12983210766991371 -0.010592970204607144 -0.081080219777883489 0 0 0 diff --git a/Triangulation_3/test/Triangulation_3/test_segment_cell_traverser_3.cpp b/Triangulation_3/test/Triangulation_3/test_segment_cell_traverser_3.cpp new file mode 100644 index 00000000000..92c667aec72 --- /dev/null +++ b/Triangulation_3/test/Triangulation_3/test_segment_cell_traverser_3.cpp @@ -0,0 +1,94 @@ + +#include +#include + +#include +#include +#include + + +// Define the kernel. +typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel; +typedef Kernel::Point_3 Point_3; + +// Define the structure. +typedef CGAL::Delaunay_triangulation_3< Kernel > DT; +typedef DT::Cell_handle Cell_handle; +typedef DT::Segment_cell_iterator Segment_cell_iterator; + +int main() +{ + const std::vector points = { { -2, 0, 0 }, + { 2, 0, 0 }, + { 0, 1, -1 }, + { 0, -1, -1 }, + { 0, 0, 1 }, + { -10, -10, -10 }, + { -10, 10, -10 }, + { 10, 10, -10 }, + { 10, -10, -10 }, + { -10, -10, 10 }, + { -10, 10, 10 }, + { 10, 10, 10 }, + { 10, -10, 10 }, + }; + + std::vector vertices; + vertices.reserve(points.size()); + + DT dt; + for(auto p: points) vertices.push_back(dt.insert(p)); + + Cell_handle c; + assert( dt.is_valid() ); + assert( dt.is_cell(vertices[0], vertices[2], vertices[3], vertices[4], c)); + assert( dt.is_cell(vertices[1], vertices[2], vertices[3], vertices[4], c)); + + std::cerr << dt.number_of_finite_cells() << '\n'; + Segment_cell_iterator ct = dt.segment_traverser_cells_begin(points[0], points[1]); + Segment_cell_iterator ctend = dt.segment_traverser_cells_end(); + + // Count the number of finite cells traversed. + unsigned int inf = 0, fin = 0; + while(ct != ctend) + { + std::cerr << "Cell ( "; + for(int i = 0; i < 4; ++i) + std::cerr << ct->vertex(i)->point() << " "; + std::cerr << " )\n"; + + if( dt.is_infinite(ct) ) + ++inf; + else + ++fin; + + ++ct; + } + + std::cout << "While traversing from " << points[0] + << " to " << points[1] << std::endl; + std::cout << inf << " infinite and " + << fin << " finite cells were visited." << std::endl; + + inf = 0; + fin = 0; + for (Cell_handle ch : dt.segment_traverser_cell_handles(vertices[2], vertices[3])) + { + std::cerr << "Cell ( "; + for (int i = 0; i < 4; ++i) + std::cerr << ch->vertex(i)->point() << " "; + std::cerr << " )\n"; + + if (dt.is_infinite(ch)) + ++inf; + else + ++fin; + } + + std::cout << "While traversing from " << vertices[2]->point() + << " to " << vertices[3]->point() << std::endl; + std::cout << inf << " infinite and " + << fin << " finite cells were visited." << std::endl; + + return 0; +} diff --git a/Triangulation_3/test/Triangulation_3/test_segment_simplex_traverser_3.cpp b/Triangulation_3/test/Triangulation_3/test_segment_simplex_traverser_3.cpp new file mode 100644 index 00000000000..375b8096617 --- /dev/null +++ b/Triangulation_3/test/Triangulation_3/test_segment_simplex_traverser_3.cpp @@ -0,0 +1,181 @@ +#include +#include + +#include +#include +#include +#include +#include +#include + +#include + +#define CGAL_TRIANGULATION_3_VERBOSE_TRAVERSER_EXAMPLE + +// Define the kernel. +typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel; +typedef Kernel::Point_3 Point_3; + +// Define the structure. +typedef CGAL::Delaunay_triangulation_3 DT; +typedef DT::Cell_handle Cell_handle; +typedef DT::Segment_simplex_iterator Segment_simplex_iterator; + +bool test(const DT& dt, + const std::pair& query, + const std::array& expected_result); + +int main(int, char* []) +{ + const std::vector points = { { -2, 0, 0 }, + { 2, 0, 0 }, + { 0, 1, -1 }, + { 0, -1, -1 }, + { 0, 0, 1 }, + { -10, -10, -10 }, + { -10, 10, -10 }, + { 10, 10, -10 }, + { 10, -10, -10 }, + { -10, -10, 10 }, + { -10, 10, 10 }, + { 10, 10, 10 }, + { 10, -10, 10 }, + }; + std::vector vertices; + vertices.reserve(points.size()); + DT dt; + for(auto p: points) vertices.push_back(dt.insert(p)); + Cell_handle c; + assert(dt.is_valid()); + assert(dt.is_cell(vertices[0], vertices[2], vertices[3], vertices[4], c)); + assert(dt.is_cell(vertices[1], vertices[2], vertices[3], vertices[4], c)); + + std::cerr << dt.number_of_finite_cells() << '\n'; + + const std::vector < std::pair> queries = { + {{-1, 0, 0}, { 1, 0, 0}}, // CFC + {{-1, 0, 0}, { 2, 0, 0}}, // CFCV + {{ 2, 0, 0}, {-1, 0, 0}}, // reverse + {{-2, 0, 0}, { 2, 0, 0}}, // VCFCV + {{ 2, 0, 0}, {-2, 0, 0}}, // reverse case: VCFCV + {{-3, 0, 0}, { 3, 0, 0}}, // FVCFCVF + {{-2, 0, 0}, { 2, 2, -2}}, // VEVF + {{ 2, 2, -2}, {-2, 0, 0}} // reverse case: FVEV + }; + + const std::vector< std::array > expected_results ={ + {0, 0, 1, 2}, // CFC + {1, 0, 1, 2}, // CFCV + {1, 0, 1, 2}, // reverse + {2, 0, 1, 2}, // VCFCV + {2, 0, 1, 2}, // reverse case: VCFCV + {2, 0, 3, 2}, // FVCFCVF + {2, 1, 1, 0}, // VEVF + {2, 1, 1, 0} // reverse case: FVEV + }; + + bool ok = true; + for(std::size_t i=0; i& query, + const std::array& expected_result) +{ + bool result = true; + using std::get; + const auto& p1 = query.first; + const auto& p2 = query.second; + unsigned int nb_cells = 0, nb_collinear = 0; + unsigned int nb_facets = 0, nb_edges = 0, nb_vertex = 0; + + std::cout << "\n#\n# Query segment: ( " << p1 << " , " + << p2 << " )\n#\n"; + Segment_simplex_iterator st = dt.segment_traverser_simplices_begin(p1, p2); + Segment_simplex_iterator stend = dt.segment_traverser_simplices_end(); + + // Count the number of finite cells traversed. + unsigned int inf = 0, fin = 0; + for (; st != stend; ++st) + { + if (st->dimension() == 3 + && dt.is_infinite(Cell_handle(*st))) + ++inf; + else { + ++fin; + + switch (st->dimension()) { + case 2: { + ++nb_facets; + std::cout << "facet " << std::endl; + DT::Facet f = *st; + std::cout << " ( " << f.first->vertex((f.second + 1) & 3)->point() + << " " << f.first->vertex((f.second + 2) & 3)->point() + << " " << f.first->vertex((f.second + 3) & 3)->point() + << " )\n"; + break; + } + case 1: { + ++nb_edges; + std::cout << "edge " << std::endl; + DT::Edge e = *st; + std::cout << " ( " << e.first->vertex(e.second)->point() << " " + << e.first->vertex(e.third)->point() << " )\n"; + break; + } + case 0: { + ++nb_vertex; + std::cout << "vertex " << std::endl; + DT::Vertex_handle v = *st; + std::cout << " ( " << v->point() << " )\n"; + break; + } + case 3: { + ++nb_cells; + std::cout << "cell \n ( "; + DT::Cell_handle ch = *st; + for (int i = 0; i < 4; ++i) + std::cout << ch->vertex(i)->point() << " "; + std::cout << " )\n"; + break; + } + default: + CGAL_assume(false); + } // end switch + } +} + +#ifdef CGAL_TRIANGULATION_3_VERBOSE_TRAVERSER_EXAMPLE + std::cout << "While traversing from " << st.source() + << " to " << st.target() << std::endl; + std::cout << "\tinfinite cells : " << inf << std::endl; + std::cout << "\tfinite cells : " << fin << std::endl; + std::cout << "\tfacets : " << nb_facets << std::endl; + std::cout << "\tedges : " << nb_edges << std::endl; + std::cout << "\tvertices : " << nb_vertex << std::endl; + std::cout << std::endl << std::endl; +#endif + + auto check_expected = [](unsigned value, unsigned expected) { + if(value != expected) { + std::cout << "\t ERROR: expected " << expected << '\n'; + return false; + } + return true; + }; + std::cout << "\tnb cells : " << nb_cells << std::endl; + result = result && check_expected(nb_cells, expected_result[3]); + std::cout << "\tnb facets : " << nb_facets << std::endl; + result = result && check_expected(nb_facets, expected_result[2]); + std::cout << "\tnb edges : " << nb_edges << std::endl; + result = result && check_expected(nb_edges, expected_result[1]); + std::cout << "\tnb vertices : " << nb_vertex << std::endl; + result = result && check_expected(nb_vertex, expected_result[0]); + std::cout << "\tnb collinear : " << nb_collinear << std::endl; + + return result; +} diff --git a/Triangulation_3/test/Triangulation_3/test_simplex_iterator_3.cpp b/Triangulation_3/test/Triangulation_3/test_simplex_iterator_3.cpp new file mode 100644 index 00000000000..eb210c29beb --- /dev/null +++ b/Triangulation_3/test/Triangulation_3/test_simplex_iterator_3.cpp @@ -0,0 +1,413 @@ +#include +#include + +#include +#include +#include +#include +#include + +#include +#include + +// Define the kernel. +typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel; +typedef Kernel::Point_3 Point_3; +typedef Kernel::Vector_3 Vector_3; +typedef Kernel::Segment_3 Segment_3; + +// Define the structure. +typedef CGAL::Delaunay_triangulation_3< Kernel > DT; + +typedef DT::Vertex_handle Vertex_handle; +typedef DT::Cell_handle Cell_handle; +typedef DT::Edge Edge; +typedef DT::Facet Facet; +typedef DT::Segment_simplex_iterator Segment_simplex_iterator; + +void test_vertex_edge_vertex(const DT& dt, const std::size_t& nb_tests) +{ + std::cout << "* test_vertex_edge_vertex *" << std::endl; + std::vector edges; + for (DT::Finite_edges_iterator eit = dt.finite_edges_begin(); + eit != dt.finite_edges_end() && edges.size() < nb_tests; + ++eit) + { + edges.push_back(*eit); + } + + for (std::size_t i = 0; i < nb_tests; ++i) + { + Vertex_handle v1 = edges[i].first->vertex(edges[i].second); + Vertex_handle v2 = edges[i].first->vertex(edges[i].third); + Vector_3 v(v1->point(), v2->point()); + + std::cout << "TEST " << i << " (" << v1->point() + << " ** " << v2->point() <<")" + << std::endl; + std::cout << "\t("; + Segment_simplex_iterator st + = dt.segment_traverser_simplices_begin((v1->point() - 2.*v), + (v2->point() + 3.*v)); + Segment_simplex_iterator stend + = dt.segment_traverser_simplices_end(); + for (; st != stend; ++st) + { + std::cout << st->dimension(); + if(st->dimension() == 3 + && Cell_handle(*st) != Cell_handle() + && dt.is_infinite(Cell_handle(*st))) + std::cout << "i"; + std::cout << " "; + + if (st->dimension() == 0 && Vertex_handle(*st) == v1) + { + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 1); + Edge e(*st); + Vertex_handle ve1 = e.first->vertex(e.second); + Vertex_handle ve2 = e.first->vertex(e.third); + assert((ve1 == v1 && ve2 == v2) + || (ve1 == v2 && ve2 == v1)); + + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 0); + assert(Vertex_handle(*st) == v2); + } + } + std::cout << ")" << std::endl; + } +} + +void test_edge_facet_edge(const DT& dt, const std::size_t& nb_tests) +{ + std::cout << "* test_edge_facet_edge *" << std::endl; + std::vector facets; + for (DT::Finite_facets_iterator fit = dt.finite_facets_begin(); + fit != dt.finite_facets_end() && facets.size() < nb_tests; + ++fit) + { + facets.push_back(*fit); + } + for (std::size_t i = 0; i < nb_tests; ++i) + { + const int fi = facets[i].second; + Vertex_handle v1 = facets[i].first->vertex((fi + 1) % 4); + Vertex_handle v2 = facets[i].first->vertex((fi + 2) % 4); + Vertex_handle v3 = facets[i].first->vertex((fi + 3) % 4); + + Point_3 p1 = CGAL::midpoint(v1->point(), v2->point()); + Point_3 p2 = CGAL::midpoint(v2->point(), v3->point()); + Vector_3 v(p1, p2); + + std::cout << "TEST " << i << " (" << p1 << " ** " << p2 << ")" + << std::endl; + std::cout << "\t("; + Segment_simplex_iterator st + = dt.segment_traverser_simplices_begin((p1 - 2. * v), (p2 + 3. * v)); + Segment_simplex_iterator stend + = dt.segment_traverser_simplices_end(); + for (; st != stend; ++st) + { + std::cout << st->dimension(); + if (st->dimension() == 3 + && Cell_handle(*st) != Cell_handle() + && dt.is_infinite(Cell_handle(*st))) + std::cout << "i"; + std::cout << " "; + + if (st->dimension() == 1) + { + Edge e = *st; + Vertex_handle va = e.first->vertex(e.second); + Vertex_handle vb = e.first->vertex(e.third); + if ((va == v1 && vb == v2) + || (va == v2 && vb == v1)) + { + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 2); + + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 1); + Edge e2 = *st; + Vertex_handle va2 = e2.first->vertex(e2.second); + Vertex_handle vb2 = e2.first->vertex(e2.third); + assert(va == va2 || va == vb2 || vb == va2 || vb == vb2); + } + } + } + std::cout << ")" << std::endl; + } +} + +void test_edge_facet_vertex(const DT& dt, const std::size_t& nb_tests) +{ + std::cout << "* test_edge_facet_vertex *" << std::endl; + std::vector facets; + for (DT::Finite_facets_iterator fit = dt.finite_facets_begin(); + fit != dt.finite_facets_end() && facets.size() < nb_tests; + ++fit) + { + facets.push_back(*fit); + } + for (std::size_t i = 0; i < nb_tests; ++i) + { + const int fi = facets[i].second; + Vertex_handle v1 = facets[i].first->vertex((fi + 1) % 4); + Vertex_handle v2 = facets[i].first->vertex((fi + 2) % 4); + Vertex_handle v3 = facets[i].first->vertex((fi + 3) % 4); + + Point_3 p1 = CGAL::midpoint(v1->point(), v2->point()); + Point_3 p2 = v3->point(); + Vector_3 v(p1, p2); + + std::cout << "TEST " << i << " (" << p1 << " ** " << p2 << ")" + << std::endl; + std::cout << "\t("; + Segment_simplex_iterator st + = dt.segment_traverser_simplices_begin((p1 - 2. * v), (p2 + 3. * v)); + Segment_simplex_iterator stend + = dt.segment_traverser_simplices_end(); + for (; st != stend; ++st) + { + std::cout << st->dimension(); + if (st->dimension() == 3 && dt.is_infinite(Cell_handle(*st))) + std::cout << "i"; + std::cout << " "; + + if (st->dimension() == 1) + { + Edge e = *st; + Vertex_handle va = e.first->vertex(e.second); + Vertex_handle vb = e.first->vertex(e.third); + if ((va == v1 && vb == v2) || (va == v2 && vb == v1)) + { + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 2); + + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 0); + assert(Vertex_handle(*st) == v3); + } + ++st; + std::cout << st->dimension() << " "; + if (st == stend) + break; + else if (st->dimension() == 3 + && Cell_handle(*st) != Cell_handle() + && dt.is_infinite(Cell_handle(*st))) + std::cout << "i "; + assert(st->dimension() == 3); + } + } + std::cout << ")" << std::endl; + } +} + +void test_vertex_facet_edge(const DT& dt, const std::size_t& nb_tests) +{ + std::cout << "* test_vertex_facet_edge *" << std::endl; + std::vector facets; + DT::Finite_facets_iterator fit = dt.finite_facets_begin(); + ++fit; ++fit; ++fit; //just avoid using the same faces as for test_edge_facet_vertex + for (; fit != dt.finite_facets_end() && facets.size() < nb_tests; + ++fit) + { + facets.push_back(*fit); + } + for (std::size_t i = 0; i < nb_tests; ++i) + { + const int fi = facets[i].second; + Vertex_handle v1 = facets[i].first->vertex((fi + 1) % 4); + Vertex_handle v2 = facets[i].first->vertex((fi + 2) % 4); + Vertex_handle v3 = facets[i].first->vertex((fi + 3) % 4); + + Point_3 p1 = v1->point(); + Point_3 p2 = CGAL::midpoint(v2->point(), v3->point()); + Vector_3 v(p1, p2); + + std::cout << "TEST " << i << " (" << p1 << " ** " << p2 << ")" + << std::endl; + std::cout << "\t("; + Segment_simplex_iterator st = dt.segment_traverser_simplices_begin(p1 - 2.*v, p2 + 3.*v); + Segment_simplex_iterator stend = dt.segment_traverser_simplices_begin(p1 - 2. * v, p2 + 3. * v); + for (; st != stend; ++st) + { + std::cout << st->dimension(); + if (st->dimension() == 3 + && Cell_handle(*st) != Cell_handle() + && dt.is_infinite(Cell_handle(*st))) + std::cout << "i"; + std::cout << " "; + + if (st->dimension() == 0 && Vertex_handle(*st) == v1) + { + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 2); + assert(Facet(*st) == facets[i] + || Facet(*st) == dt.mirror_facet(facets[i])); + ++st; + std::cout << st->dimension() << " "; + assert(st->dimension() == 1); + Edge e(*st); + Vertex_handle va = e.first->vertex(e.second); + Vertex_handle vb = e.first->vertex(e.third); + assert((va == v2 && vb == v3) || (va == v3 && vb == v2)); + } + } + std::cout << ")" << std::endl; + } +} + +void test_triangulation_on_a_grid() +{ + std::cout << "* test_triangulation_on_a_grid *" << std::endl; + DT dt; + for (double x = 0.; x < 11.; x = x + 1.) + for (double y = 0.; y < 11.; y = y + 1.) + for (double z = 0.; z < 11.; z = z + 1.) + dt.insert(Point_3(x, y, z)); + + int nb_queries = 5; + std::vector queries(nb_queries); + //along an axis of the grid + queries[0] = Segment_3(Point_3(1., 1., 1.), Point_3(1., 8., 1.)); + //along an axis, but between two layers + queries[1] = Segment_3(Point_3(1., 1.5, 1.), Point_3(10., 1.5, 1.)); + //along a diagonal + queries[2] = Segment_3(Point_3(1., 1., 1.), Point_3(6., 6., 6.)); + //along a diagonal, in the plane (y = 1) + queries[3] = Segment_3(Point_3(1., 1., 1.), Point_3(7., 1., 7.)); + //along a border of the cube + queries[4] = Segment_3(Point_3(0., 0., 0.), Point_3(11., 0., 5.)); + + for(const Segment_3& s : queries) + { + std::cout << "Query segment : (" << s.source() + << ") to (" << s.target() << ") ["; + Segment_simplex_iterator st = dt.segment_traverser_simplices_begin(s.source(), s.target()); + Segment_simplex_iterator stend = dt.segment_traverser_simplices_end(); + + unsigned int inf = 0, fin = 0; + unsigned int nb_facets = 0, nb_edges = 0, nb_vertex = 0; + for (; st != st.end(); ++st) + { + std::cout << st->dimension() << " "; + std::cout.flush(); + if (st->dimension() == 3) + { + if (dt.is_infinite(Cell_handle(*st))) ++inf; + else ++fin; + } + if (st->dimension() == 2) ++nb_facets; + else if (st->dimension() == 1) ++nb_edges; + else if (st->dimension() == 0) ++nb_vertex; + } + std::cout << "\b]" << std::endl; + + std::cout << "\tinfinite cells : " << inf << std::endl; + std::cout << "\tfinite cells : " << fin << std::endl; + std::cout << "\tfacets : " << nb_facets << std::endl; + std::cout << "\tedges : " << nb_edges << std::endl; + std::cout << "\tvertices : " << nb_vertex << std::endl; + std::cout << std::endl; + } +} + +int main(int argc, char* argv[]) +{ + const char* fname = (argc>1) ? argv[1] : "data/blobby.xyz"; + int nb_seg = (argc > 2) ? atoi(argv[2]) : 3; + + // Reads a .xyz point set file in points. + // As the point is the second element of the tuple (that is with index 1) + // we use a property map that accesses the 1st element of the tuple. + + std::vector points; + std::ifstream stream(fname); + if (!stream || + !CGAL::read_xyz_points(stream, std::back_inserter(points))) + { + std::cerr << "Error: cannot read file " << fname << std::endl; + return EXIT_FAILURE; + } + + //bbox + //min (-0.481293,-0.220929,-0.194076), max (0.311532,0.225525,0.198025) + + // Construct the Delaunay triangulation. + DT dt(points.begin(), points.end()); + assert(dt.is_valid()); + + CGAL::Random rng; + for (int i = 0; i < nb_seg; ++i) + { + // Construct a traverser. + Point_3 p1(rng.get_double(-0.48, 0.31), + rng.get_double(-0.22, 0.22), + rng.get_double(-0.19, 0.19)); + Point_3 p2(rng.get_double(-0.48, 0.31), + rng.get_double(-0.22, 0.22), + rng.get_double(-0.19, 0.19)); + + std::cout << "Traverser " << (i + 1) + << "\n\t(" << p1 + << ")\n\t(" << p2 << ")" << std::endl; + Segment_simplex_iterator st = dt.segment_traverser_simplices_begin(p1, p2); + Segment_simplex_iterator stend = dt.segment_traverser_simplices_end(); + + // Count the number of finite cells traversed. + unsigned int inf = 0, fin = 0; + unsigned int nb_facets = 0, nb_edges = 0, nb_vertex = 0; + for (; st != stend; ++st) + { + if (st->dimension() == 3) + { + if (Cell_handle(*st) != Cell_handle() + && dt.is_infinite(Cell_handle(*st))) + ++inf; + else + ++fin; + } + if (st->dimension() == 2) ++nb_facets; + else if (st->dimension() == 1) ++nb_edges; + else if (st->dimension() == 0) ++nb_vertex; + } + + std::cout << "While traversing from " << p1 + << " to " << p2 << std::endl; + std::cout << "\tinfinite cells : " << inf << std::endl; + std::cout << "\tfinite cells : " << fin << std::endl; + std::cout << "\tfacets : " << nb_facets << std::endl; + std::cout << "\tedges : " << nb_edges << std::endl; + std::cout << "\tvertices : " << nb_vertex << std::endl; + std::cout << std::endl << std::endl; + } + + //check degenerate cases + // - along an edge + test_vertex_edge_vertex(dt, 2); + + // - along a facet via edge/facet/edge + test_edge_facet_edge(dt, 3); + + // - along a facet via edge/facet/vertex + test_edge_facet_vertex(dt, 3); + + // - along a facet via vertex/facet/edge + test_vertex_facet_edge(dt, 3); + + // - along 2 successive facets (vertex/facet/edge/facet/edge) + // - along 2 successive edges (vertex/edge/vertex/edge/vertex) + // - along a facet and an edge successively + test_triangulation_on_a_grid(); + + return 0; +}