BambuStudio/libigl/igl/copyleft/cgal/extract_cells.cpp

548 lines
25 KiB
C++

// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2015 Qingnan Zhou <qnzhou@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 "extract_cells.h"
#include "closest_facet.h"
#include "order_facets_around_edge.h"
#include "outer_facet.h"
#include "submesh_aabb_tree.h"
#include "../../extract_manifold_patches.h"
#include "../../facet_components.h"
#include "../../get_seconds.h"
#include "../../triangle_triangle_adjacency.h"
#include "../../unique_edge_map.h"
#include "../../vertex_triangle_adjacency.h"
#include <CGAL/AABB_tree.h>
#include <CGAL/AABB_traits.h>
#include <CGAL/AABB_triangle_primitive.h>
#include <CGAL/intersections.h>
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <iostream>
#include <vector>
#include <queue>
#include <map>
#include <set>
//#define EXTRACT_CELLS_DEBUG
template<
typename DerivedV,
typename DerivedF,
typename DerivedC >
IGL_INLINE size_t igl::copyleft::cgal::extract_cells(
const Eigen::PlainObjectBase<DerivedV>& V,
const Eigen::PlainObjectBase<DerivedF>& F,
Eigen::PlainObjectBase<DerivedC>& cells)
{
const size_t num_faces = F.rows();
// Construct edge adjacency
Eigen::MatrixXi E, uE;
Eigen::VectorXi EMAP;
std::vector<std::vector<size_t> > uE2E;
igl::unique_edge_map(F, E, uE, EMAP, uE2E);
// Cluster into manifold patches
Eigen::VectorXi P;
igl::extract_manifold_patches(F, EMAP, uE2E, P);
// Extract cells
DerivedC per_patch_cells;
const size_t num_cells =
igl::copyleft::cgal::extract_cells(V,F,P,E,uE,uE2E,EMAP,per_patch_cells);
// Distribute per-patch cell information to each face
cells.resize(num_faces, 2);
for (size_t i=0; i<num_faces; i++)
{
cells.row(i) = per_patch_cells.row(P[i]);
}
return num_cells;
}
template<
typename DerivedV,
typename DerivedF,
typename DerivedP,
typename DerivedE,
typename DeriveduE,
typename uE2EType,
typename DerivedEMAP,
typename DerivedC >
IGL_INLINE size_t igl::copyleft::cgal::extract_cells(
const Eigen::PlainObjectBase<DerivedV>& V,
const Eigen::PlainObjectBase<DerivedF>& F,
const Eigen::PlainObjectBase<DerivedP>& P,
const Eigen::PlainObjectBase<DerivedE>& E,
const Eigen::PlainObjectBase<DeriveduE>& uE,
const std::vector<std::vector<uE2EType> >& uE2E,
const Eigen::PlainObjectBase<DerivedEMAP>& EMAP,
Eigen::PlainObjectBase<DerivedC>& cells)
{
// Trivial base case
if(P.size() == 0)
{
assert(F.size() == 0);
cells.resize(0,2);
return 0;
}
typedef CGAL::Exact_predicates_exact_constructions_kernel Kernel;
typedef Kernel::Point_3 Point_3;
typedef Kernel::Plane_3 Plane_3;
typedef Kernel::Segment_3 Segment_3;
typedef Kernel::Triangle_3 Triangle;
typedef std::vector<Triangle>::iterator Iterator;
typedef CGAL::AABB_triangle_primitive<Kernel, Iterator> Primitive;
typedef CGAL::AABB_traits<Kernel, Primitive> AABB_triangle_traits;
typedef CGAL::AABB_tree<AABB_triangle_traits> Tree;
#ifdef EXTRACT_CELLS_DEBUG
const auto & tictoc = []() -> double
{
static double t_start = igl::get_seconds();
double diff = igl::get_seconds()-t_start;
t_start += diff;
return diff;
};
const auto log_time = [&](const std::string& label) -> void {
std::cout << "extract_cells." << label << ": "
<< tictoc() << std::endl;
};
tictoc();
#else
// no-op
const auto log_time = [](const std::string){};
#endif
const size_t num_faces = F.rows();
typedef typename DerivedF::Scalar Index;
assert(P.size() > 0);
const size_t num_patches = P.maxCoeff()+1;
// Extract all cells...
DerivedC raw_cells;
const size_t num_raw_cells =
extract_cells_single_component(V,F,P,uE,uE2E,EMAP,raw_cells);
log_time("extract_single_component_cells");
// Compute triangle-triangle adjacency data-structure
std::vector<std::vector<std::vector<Index > > > TT,_1;
igl::triangle_triangle_adjacency(E, EMAP, uE2E, false, TT, _1);
log_time("compute_face_adjacency");
// Compute connected components of the mesh
Eigen::VectorXi C, counts;
igl::facet_components(TT, C, counts);
log_time("form_components");
const size_t num_components = counts.size();
// components[c] --> list of face indices into F of faces in component c
std::vector<std::vector<size_t> > components(num_components);
// Loop over all faces
for (size_t i=0; i<num_faces; i++)
{
components[C[i]].push_back(i);
}
// Convert vector lists to Eigen lists...
// and precompute data-structures for each component
std::vector<std::vector<size_t> > VF,VFi;
igl::vertex_triangle_adjacency(V.rows(), F, VF, VFi);
std::vector<Eigen::VectorXi> Is(num_components);
std::vector<
CGAL::AABB_tree<
CGAL::AABB_traits<
Kernel,
CGAL::AABB_triangle_primitive<
Kernel, std::vector<
Kernel::Triangle_3 >::iterator > > > > trees(num_components);
std::vector< std::vector<Kernel::Triangle_3 > >
triangle_lists(num_components);
std::vector<std::vector<bool> > in_Is(num_components);
// Find outer facets, their orientations and cells for each component
Eigen::VectorXi outer_facets(num_components);
Eigen::VectorXi outer_facet_orientation(num_components);
Eigen::VectorXi outer_cells(num_components);
for (size_t i=0; i<num_components; i++)
{
Is[i].resize(components[i].size());
std::copy(components[i].begin(), components[i].end(),Is[i].data());
bool flipped;
igl::copyleft::cgal::outer_facet(V, F, Is[i], outer_facets[i], flipped);
outer_facet_orientation[i] = flipped?1:0;
outer_cells[i] = raw_cells(P[outer_facets[i]], outer_facet_orientation[i]);
}
#ifdef EXTRACT_CELLS_DEBUG
log_time("outer_facet_per_component");
#endif
// Compute barycenter of a triangle in mesh (V,F)
//
// Inputs:
// fid index into F
// Returns row-vector of barycenter coordinates
const auto get_triangle_center = [&V,&F](const size_t fid)
{
return ((V.row(F(fid,0))+V.row(F(fid,1))+V.row(F(fid,2)))/3.0).eval();
};
std::vector<std::vector<size_t> > nested_cells(num_raw_cells);
std::vector<std::vector<size_t> > ambient_cells(num_raw_cells);
std::vector<std::vector<size_t> > ambient_comps(num_components);
// Only bother if there's more than one component
if(num_components > 1)
{
// construct bounding boxes for each component
DerivedV bbox_min(num_components, 3);
DerivedV bbox_max(num_components, 3);
// Assuming our mesh (in exact numbers) fits in the range of double.
bbox_min.setConstant(std::numeric_limits<double>::max());
bbox_max.setConstant(std::numeric_limits<double>::min());
// Loop over faces
for (size_t i=0; i<num_faces; i++)
{
// component of this face
const auto comp_id = C[i];
const auto& f = F.row(i);
for (size_t j=0; j<3; j++)
{
for(size_t d=0;d<3;d++)
{
bbox_min(comp_id,d) = std::min(bbox_min(comp_id,d), V(f[j],d));
bbox_max(comp_id,d) = std::max(bbox_max(comp_id,d), V(f[j],d));
}
}
}
// Return true if box of component ci intersects that of cj
const auto bbox_intersects = [&bbox_max,&bbox_min](size_t ci, size_t cj)
{
return !(
bbox_max(ci,0) < bbox_min(cj,0) ||
bbox_max(ci,1) < bbox_min(cj,1) ||
bbox_max(ci,2) < bbox_min(cj,2) ||
bbox_max(cj,0) < bbox_min(ci,0) ||
bbox_max(cj,1) < bbox_min(ci,1) ||
bbox_max(cj,2) < bbox_min(ci,2));
};
// Loop over components. This section is O(m²)
for (size_t i=0; i<num_components; i++)
{
// List of components that could overlap with component i
std::vector<size_t> candidate_comps;
candidate_comps.reserve(num_components);
// Loop over components
for (size_t j=0; j<num_components; j++)
{
if (i == j) continue;
if (bbox_intersects(i,j)) candidate_comps.push_back(j);
}
const size_t num_candidate_comps = candidate_comps.size();
if (num_candidate_comps == 0) continue;
// Build aabb tree for this component.
submesh_aabb_tree(V,F,Is[i],trees[i],triangle_lists[i],in_Is[i]);
// Get query points on each candidate component: barycenter of
// outer-facet
DerivedV queries(num_candidate_comps, 3);
for (size_t j=0; j<num_candidate_comps; j++)
{
const size_t index = candidate_comps[j];
queries.row(j) = get_triangle_center(outer_facets[index]);
}
// Gather closest facets in ith component to each query point and their
// orientations
const auto& I = Is[i];
const auto& tree = trees[i];
const auto& in_I = in_Is[i];
const auto& triangles = triangle_lists[i];
Eigen::VectorXi closest_facets, closest_facet_orientations;
closest_facet(
V,
F,
I,
queries,
uE2E,
EMAP,
VF,
VFi,
tree,
triangles,
in_I,
closest_facets,
closest_facet_orientations);
// Loop over all candidates
for (size_t j=0; j<num_candidate_comps; j++)
{
const size_t index = candidate_comps[j];
const size_t closest_patch = P[closest_facets[j]];
const size_t closest_patch_side = closest_facet_orientations[j] ? 0:1;
// The cell id of the closest patch
const size_t ambient_cell =
raw_cells(closest_patch,closest_patch_side);
if (ambient_cell != (size_t)outer_cells[i])
{
// ---> component index inside component i, because the cell of the
// closest facet on i to component index is **not** the same as the
// "outer cell" of component i: component index is **not** outside of
// component i (therefore it's inside).
nested_cells[ambient_cell].push_back(outer_cells[index]);
ambient_cells[outer_cells[index]].push_back(ambient_cell);
ambient_comps[index].push_back(i);
}
}
}
}
#ifdef EXTRACT_CELLS_DEBUG
log_time("nested_relationship");
#endif
const size_t INVALID = std::numeric_limits<size_t>::max();
const size_t INFINITE_CELL = num_raw_cells;
std::vector<size_t> embedded_cells(num_raw_cells, INVALID);
for (size_t i=0; i<num_components; i++) {
const size_t outer_cell = outer_cells[i];
const auto& ambient_comps_i = ambient_comps[i];
const auto& ambient_cells_i = ambient_cells[outer_cell];
const size_t num_ambient_comps = ambient_comps_i.size();
assert(num_ambient_comps == ambient_cells_i.size());
if (num_ambient_comps > 0) {
size_t embedded_comp = INVALID;
size_t embedded_cell = INVALID;
for (size_t j=0; j<num_ambient_comps; j++) {
if (ambient_comps[ambient_comps_i[j]].size() ==
num_ambient_comps-1) {
embedded_comp = ambient_comps_i[j];
embedded_cell = ambient_cells_i[j];
break;
}
}
assert(embedded_comp != INVALID);
assert(embedded_cell != INVALID);
embedded_cells[outer_cell] = embedded_cell;
} else {
embedded_cells[outer_cell] = INFINITE_CELL;
}
}
for (size_t i=0; i<num_patches; i++) {
if (embedded_cells[raw_cells(i,0)] != INVALID) {
raw_cells(i,0) = embedded_cells[raw_cells(i, 0)];
}
if (embedded_cells[raw_cells(i,1)] != INVALID) {
raw_cells(i,1) = embedded_cells[raw_cells(i, 1)];
}
}
size_t count = 0;
std::vector<size_t> mapped_indices(num_raw_cells+1, INVALID);
// Always map infinite cell to index 0.
mapped_indices[INFINITE_CELL] = count;
count++;
for (size_t i=0; i<num_patches; i++) {
const size_t old_positive_cell_id = raw_cells(i, 0);
const size_t old_negative_cell_id = raw_cells(i, 1);
size_t positive_cell_id, negative_cell_id;
if (mapped_indices[old_positive_cell_id] == INVALID) {
mapped_indices[old_positive_cell_id] = count;
positive_cell_id = count;
count++;
} else {
positive_cell_id = mapped_indices[old_positive_cell_id];
}
if (mapped_indices[old_negative_cell_id] == INVALID) {
mapped_indices[old_negative_cell_id] = count;
negative_cell_id = count;
count++;
} else {
negative_cell_id = mapped_indices[old_negative_cell_id];
}
raw_cells(i, 0) = positive_cell_id;
raw_cells(i, 1) = negative_cell_id;
}
cells = raw_cells;
#ifdef EXTRACT_CELLS_DEBUG
log_time("finalize");
#endif
return count;
}
template<
typename DerivedV,
typename DerivedF,
typename DerivedP,
typename DeriveduE,
typename uE2EType,
typename DerivedEMAP,
typename DerivedC>
IGL_INLINE size_t igl::copyleft::cgal::extract_cells_single_component(
const Eigen::PlainObjectBase<DerivedV>& V,
const Eigen::PlainObjectBase<DerivedF>& F,
const Eigen::PlainObjectBase<DerivedP>& P,
const Eigen::PlainObjectBase<DeriveduE>& uE,
const std::vector<std::vector<uE2EType> >& uE2E,
const Eigen::PlainObjectBase<DerivedEMAP>& EMAP,
Eigen::PlainObjectBase<DerivedC>& cells)
{
const size_t num_faces = F.rows();
// Input:
// index index into #F*3 list of undirect edges
// Returns index into face
const auto edge_index_to_face_index = [&num_faces](size_t index)
{
return index % num_faces;
};
// Determine if a face (containing undirected edge {s,d} is consistently
// oriented with directed edge {s,d} (or otherwise it is with {d,s})
//
// Inputs:
// fid face index into F
// s source index of edge
// d destination index of edge
// Returns true if face F(fid,:) is consistent with {s,d}
const auto is_consistent =
[&F](const size_t fid, const size_t s, const size_t d) -> bool
{
if ((size_t)F(fid, 0) == s && (size_t)F(fid, 1) == d) return false;
if ((size_t)F(fid, 1) == s && (size_t)F(fid, 2) == d) return false;
if ((size_t)F(fid, 2) == s && (size_t)F(fid, 0) == d) return false;
if ((size_t)F(fid, 0) == d && (size_t)F(fid, 1) == s) return true;
if ((size_t)F(fid, 1) == d && (size_t)F(fid, 2) == s) return true;
if ((size_t)F(fid, 2) == d && (size_t)F(fid, 0) == s) return true;
throw "Invalid face!";
return false;
};
const size_t num_unique_edges = uE.rows();
const size_t num_patches = P.maxCoeff() + 1;
// Build patch-patch adjacency list.
std::vector<std::map<size_t, size_t> > patch_adj(num_patches);
for (size_t i=0; i<num_unique_edges; i++) {
const size_t s = uE(i,0);
const size_t d = uE(i,1);
const auto adj_faces = uE2E[i];
const size_t num_adj_faces = adj_faces.size();
if (num_adj_faces > 2) {
for (size_t j=0; j<num_adj_faces; j++) {
const size_t patch_j = P[edge_index_to_face_index(adj_faces[j])];
for (size_t k=j+1; k<num_adj_faces; k++) {
const size_t patch_k = P[edge_index_to_face_index(adj_faces[k])];
if (patch_adj[patch_j].find(patch_k) == patch_adj[patch_j].end()) {
patch_adj[patch_j].insert({patch_k, i});
}
if (patch_adj[patch_k].find(patch_j) == patch_adj[patch_k].end()) {
patch_adj[patch_k].insert({patch_j, i});
}
}
}
}
}
const int INVALID = std::numeric_limits<int>::max();
std::vector<size_t> cell_labels(num_patches * 2);
for (size_t i=0; i<num_patches; i++) cell_labels[i] = i;
std::vector<std::set<size_t> > equivalent_cells(num_patches*2);
std::vector<bool> processed(num_unique_edges, false);
size_t label_count=0;
for (size_t i=0; i<num_patches; i++) {
for (const auto& entry : patch_adj[i]) {
const size_t neighbor_patch = entry.first;
const size_t uei = entry.second;
if (processed[uei]) continue;
processed[uei] = true;
const auto& adj_faces = uE2E[uei];
const size_t num_adj_faces = adj_faces.size();
assert(num_adj_faces > 2);
const size_t s = uE(uei,0);
const size_t d = uE(uei,1);
std::vector<int> signed_adj_faces;
for (auto ej : adj_faces)
{
const size_t fid = edge_index_to_face_index(ej);
bool cons = is_consistent(fid, s, d);
signed_adj_faces.push_back((fid+1)*(cons ? 1:-1));
}
{
// Sort adjacent faces cyclically around {s,d}
Eigen::VectorXi order;
// order[f] will reveal the order of face f in signed_adj_faces
order_facets_around_edge(V, F, s, d, signed_adj_faces, order);
for (size_t j=0; j<num_adj_faces; j++) {
const size_t curr_idx = j;
const size_t next_idx = (j+1)%num_adj_faces;
const size_t curr_patch_idx =
P[edge_index_to_face_index(adj_faces[order[curr_idx]])];
const size_t next_patch_idx =
P[edge_index_to_face_index(adj_faces[order[next_idx]])];
const bool curr_cons = signed_adj_faces[order[curr_idx]] > 0;
const bool next_cons = signed_adj_faces[order[next_idx]] > 0;
const size_t curr_cell_idx = curr_patch_idx*2 + (curr_cons?0:1);
const size_t next_cell_idx = next_patch_idx*2 + (next_cons?1:0);
equivalent_cells[curr_cell_idx].insert(next_cell_idx);
equivalent_cells[next_cell_idx].insert(curr_cell_idx);
}
}
}
}
size_t count=0;
cells.resize(num_patches, 2);
cells.setConstant(INVALID);
const auto extract_equivalent_cells = [&](size_t i) {
if (cells(i/2, i%2) != INVALID) return;
std::queue<size_t> Q;
Q.push(i);
cells(i/2, i%2) = count;
while (!Q.empty()) {
const size_t index = Q.front();
Q.pop();
for (const auto j : equivalent_cells[index]) {
if (cells(j/2, j%2) == INVALID) {
cells(j/2, j%2) = count;
Q.push(j);
}
}
}
count++;
};
for (size_t i=0; i<num_patches; i++) {
extract_equivalent_cells(i*2);
extract_equivalent_cells(i*2+1);
}
assert((cells.array() != INVALID).all());
return count;
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
// generated by autoexplicit.sh
template unsigned long igl::copyleft::cgal::extract_cells<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned long, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, std::vector<std::vector<unsigned long, std::allocator<unsigned long> >, std::allocator<std::vector<unsigned long, std::allocator<unsigned long> > > > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
// generated by autoexplicit.sh
template unsigned long igl::copyleft::cgal::extract_cells<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned long, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, std::vector<std::vector<unsigned long, std::allocator<unsigned long> >, std::allocator<std::vector<unsigned long, std::allocator<unsigned long> > > > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
template unsigned long igl::copyleft::cgal::extract_cells<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned long, Eigen::Matrix<int, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, std::vector<std::vector<unsigned long, std::allocator<unsigned long> >, std::allocator<std::vector<unsigned long, std::allocator<unsigned long> > > > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
template unsigned long igl::copyleft::cgal::extract_cells<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<CGAL::Lazy_exact_nt<CGAL::Gmpq>, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
#ifdef WIN32
template unsigned __int64 igl::copyleft::cgal::extract_cells<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned __int64, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>>(class Eigen::PlainObjectBase<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class std::vector<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>, class std::allocator<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> &);
template unsigned __int64 igl::copyleft::cgal::extract_cells<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 1, -1, -1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned __int64, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>>(class Eigen::PlainObjectBase<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 1, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class std::vector<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>, class std::allocator<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> &);
template unsigned __int64 igl::copyleft::cgal::extract_cells<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 1, -1, -1>, class Eigen::Matrix<int, -1, 3, 1, -1, 3>, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>, unsigned __int64, class Eigen::Matrix<int, -1, 1, 0, -1, 1>, class Eigen::Matrix<int, -1, -1, 0, -1, -1>>(class Eigen::PlainObjectBase<class Eigen::Matrix<class CGAL::Lazy_exact_nt<class CGAL::Gmpq>, -1, -1, 1, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 3, 1, -1, 3>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> const &, class std::vector<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>, class std::allocator<class std::vector<unsigned __int64, class std::allocator<unsigned __int64>>>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, 1, 0, -1, 1>> const &, class Eigen::PlainObjectBase<class Eigen::Matrix<int, -1, -1, 0, -1, -1>> &);
#endif
#endif