update bundled_deps

bundled_deps/libigl/igl/copyleft/cgal/subdivide_segments.cpp

@@ -0,0 +1,134 @@
+// This file is part of libigl, a simple c++ geometry processing library.
+// 
+// Copyright (C) 2016 Alec Jacobson <alecjacobson@gmail.com>
+// 
+// This Source Code Form is subject to the terms of the Mozilla Public License 
+// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
+// obtain one at http://mozilla.org/MPL/2.0/.
+#include "subdivide_segments.h"
+#include "row_to_point.h"
+#include "assign_scalar.h"
+#include "../../unique.h"
+#include "../../list_to_matrix.h"
+#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+#include <CGAL/Segment_2.h>
+#include <CGAL/Point_2.h>
+#include <algorithm>
+#include <vector>
+
+template <
+  typename DerivedV, 
+  typename DerivedE,
+  typename Kernel, 
+  typename DerivedVI, 
+  typename DerivedEI,
+  typename DerivedJ,
+  typename DerivedIM>
+IGL_INLINE void igl::copyleft::cgal::subdivide_segments(
+  const Eigen::PlainObjectBase<DerivedV> & V,
+  const Eigen::PlainObjectBase<DerivedE> & E,
+  const std::vector<std::vector<CGAL::Point_2<Kernel> > > & _steiner,
+  Eigen::PlainObjectBase<DerivedVI> & VI,
+  Eigen::PlainObjectBase<DerivedEI> & EI,
+  Eigen::PlainObjectBase<DerivedJ> & J,
+  Eigen::PlainObjectBase<DerivedIM> & IM)
+{
+  using namespace Eigen;
+  using namespace igl;
+  using namespace std;
+
+  // Exact scalar type
+  typedef Kernel K;
+  typedef typename Kernel::FT EScalar;
+  typedef CGAL::Segment_2<Kernel> Segment_2;
+  typedef CGAL::Point_2<Kernel> Point_2;
+  typedef Matrix<EScalar,Dynamic,Dynamic>  MatrixXE;
+
+  // non-const copy
+  std::vector<std::vector<CGAL::Point_2<Kernel> > > steiner = _steiner;
+
+  // Convert vertex positions to exact kernel
+  MatrixXE VE(V.rows(),V.cols());
+  for(int i = 0;i<V.rows();i++)
+  {
+    for(int j = 0;j<V.cols();j++)
+    {
+      VE(i,j) = V(i,j);
+    }
+  }
+
+  // number of original vertices
+  const int n = V.rows();
+  // number of original segments
+  const int m = E.rows();
+  // now steiner contains lists of points (unsorted) for each edge. Sort them
+  // and count total number of vertices and edges
+  int ni = 0;
+  int mi = 0;
+  // new steiner points
+  std::vector<Point_2> S;
+  std::vector<std::vector<typename DerivedE::Scalar> > vEI;
+  std::vector<typename DerivedJ::Scalar> vJ;
+  for(int i = 0;i<m;i++)
+  {
+    {
+      const Point_2 s = row_to_point<K>(VE,E(i,0));
+      std::sort(
+        steiner[i].begin(),
+        steiner[i].end(),
+        [&s](const Point_2 & A, const Point_2 & B)->bool
+        {
+          return (A-s).squared_length() < (B-s).squared_length();
+        });
+    }
+    // remove duplicates
+    steiner[i].erase(
+      std::unique(steiner[i].begin(), steiner[i].end()), 
+      steiner[i].end());
+    {
+      int s = E(i,0);
+      // legs to each steiner in order
+      for(int j = 1;j<steiner[i].size()-1;j++)
+      {
+        int d = n+S.size();
+        S.push_back(steiner[i][j]);
+        vEI.push_back({s,d});
+        vJ.push_back(i);
+        s = d;
+      }
+      // don't forget last (which might only) leg
+      vEI.push_back({s,E(i,1)});
+      vJ.push_back(i);
+    }
+  }
+  // potentially unnecessary copying ...
+  VI.resize(n+S.size(),2);
+  for(int i = 0;i<V.rows();i++)
+  {
+    for(int j = 0;j<V.cols();j++)
+    {
+      assign_scalar(V(i,j),VI(i,j));
+    }
+  }
+  for(int i = 0;i<S.size();i++)
+  {
+    assign_scalar(S[i].x(),VI(n+i,0));
+    assign_scalar(S[i].y(),VI(n+i,1));
+  }
+  list_to_matrix(vEI,EI);
+  list_to_matrix(vJ,J);
+  {
+    // Find unique mapping
+    std::vector<Point_2> vVES,_1;
+    for(int i = 0;i<n;i++)
+    {
+      vVES.push_back(row_to_point<K>(VE,i));
+    }
+    vVES.insert(vVES.end(),S.begin(),S.end());
+    std::vector<size_t> vA,vIM;
+    igl::unique(vVES,_1,vA,vIM);
+    // Push indices back into vVES
+    for_each(vIM.data(),vIM.data()+vIM.size(),[&vA](size_t & i){i=vA[i];});
+    list_to_matrix(vIM,IM);
+  }
+}