Files
OrcaSlicer/deps_src/libigl/igl/doublearea.cpp
Donovan Baarda 807520ca1d Update eigen to v5.0.1 and libigl to v2.6.0. (#11311)
* Update eigen from v3.3.7 to v5.0.1.

This updates eigen from v3.3.7 released on  December 11, 2018-12-11 to v5.0.1
released on 2025-11-11. There have be a large number of bug-fixes,
optimizations, and improvements between these releases. See the details at;

https://gitlab.com/libeigen/eigen/-/releases

It retains the previous custom minimal `CMakeLists.txt`, and adds a
README-OrcaSlicer.md that explains what version and parts of the upstream
eigen release have been included, and where the full release can be found.

* Update libigl from v2.0.0 (or older) to v2.6.0.

This updates libigl from what was probably v2.0.0 released on 2018-10-16 to
v2.6.0 released on 2025-05-15. It's possible the old version was even older
than that but there is no version indicators in the code and I ran out of
patience identifying missing changes and only went back as far as v2.0.0.

There have been a large number of bug-fixes, optimizations, and improvements
between these versions. See the following for details;

https://github.com/libigl/libigl/releases

I retained the minimal custom `CMakeLists.txt`, added `README.md` from the
libigl distribution which identifies the version, and added a
README-OrcaSlicer.md that details the version and parts that have been
included.

* Update libslic3r for libigl v2.6.0 changes.

This updates libslic3r for all changes moving to eigen v5.0.1 and libigl
v2.6.0. Despite the large number of updates to both dependencies, no changes
were required for the eigen update, and only one change was required for the
libigl update.

For libigl, `igl::Hit` was changed to a template taking the Scalar type to
use. Previously it was hard-coded to `float`, so to minimize possible impact
I've updated all places it is used from `igl::Hit` to `igl::Hit<float>`.

* Add compiler option `-DNOMINMAX` for libigl with MSVC.

MSVC by default defines `min(()` and `max()` macros that break
`std::numeric_limits<>::max()`. The upstream cmake that we don't include
adds `-DNOMINMAX` for the libigl module when compiling with MSVC, so we need
to add the same thing here.

* Fix src/libslic3r/TriangleMeshDeal.cpp for the unmodified upstream libigl.

This fixes `TriangleMeshDeal.cpp` to work with the unmodified upstream
libigl v2.6.0. loop.{h,cpp} implementation.

This file and feature was added in PR "BBS Port: Mesh Subdivision" (#12150)
which included changes to `loop.{h,cpp}` in the old version of libigl. This PR
avoids modifying the included dependencies, and uses the updated upstream
versions of those files without any modifications, which requires fixing
TriangleMeshDeal.cpp to work with them.

In particular, the modifications made to `loop.{h,cpp}` included changing the
return type from void to bool, adding additional validation checking of the
input meshes, and returning false if they failed validation. These added
checks looked unnecessary and would only have caught problems if the input
mesh was very corrupt.

To make `TriangleMeshDeal.cpp` work without this built-in checking
functionality, I removed checking/handling of any `false` return value.

There was also a hell of a lot of redundant copying and casting back and forth
between float and double, so I cleaned that up. The input and output meshs use
floats for the vertexes, and there would be no accuracy benefits from casting
to and from doubles for the simple weighted average operations done by
igl::loop(). So this just uses `Eigen:Map` to use the original input mesh
vertex data directly without requiring any copy or casting.

* Move eigen from included `deps_src` to externaly fetched `deps`.

This copys what PrusaSlicer did and moved it from an included dependency under
`deps_src` to an externaly fetched dependency under `deps`. This requires
updating some `CMakeList.txt` configs and removing the old and obsolete
`cmake/modules/FindEigen3.cmake`. The details of when this was done in
PrusaSlicer and the followup fixes are at;

* 21116995d7
* https://github.com/prusa3d/PrusaSlicer/issues/13608
* https://github.com/prusa3d/PrusaSlicer/pull/13609
* e3c277b9ee

For some reason I don't fully understand this also required fixing
`src/slic3r/GUI/GUI_App.cpp` by adding `#include <boost/nowide/cstdio.hpp>` to
fix an `error: ‘remove’ is not a member of ‘boost::nowide'`. The main thing I
don't understand is how it worked before. Note that this include is in the
PrusaSlicer version of this file, but it also significantly deviates from what
is currently in OrcaSlicer in many other ways.

* Whups... I missed adding the deps/Eigen/Eigen.cmake file...

* Tidy some whitespace indenting in CMakeLists.txt.

* Ugh... tabs indenting needing fixes.

* Change the include order of deps/Eigen.

It turns out that although Boost includes some references to Eigen, Eigen also
includes some references to Boost for supporting some of it's additional
numeric types.

I don't think it matters much since we are not using these features, but I
think technically its more correct to say Eigen depends on Boost than the
other way around, so I've re-ordered them.

* Add source for Eigen 5.0.1 download to flatpak yml config.

* Add explicit `DEPENDS dep_Boost to deps/Eigen.

I missed this before. This ensures we don't rely on include orders to make
sure Boost is installed before we configure Eigen.

* Add `DEPENDS dep_Boost dep_GMP dep_MPFR` to deps/Eigen.

It turns out Eigen can also use GMP and MPFR for multi-precision and
multi-precision-rounded numeric types if they are available.

Again, I don't think we are using these so it doesn't really matter, but it is
technically correct and ensures they are there if we ever do need them.

* Fix deps DEPENDENCY ordering for GMP, MPFR, Eigen, and CGAL.

I think this is finally correct. Apparently CGAL also optionally depends on
Eigen, so the correct dependency order from lowest to highest is GMP, MPFR, Eigen, and CGAL.

---------

Co-authored-by: Donovan Baarda <dbaarda@google.com>
Co-authored-by: Noisyfox <timemanager.rick@gmail.com>
2026-05-12 20:35:21 +08:00

267 lines
17 KiB
C++

// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 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 "doublearea.h"
#include "edge_lengths.h"
#include "parallel_for.h"
#include "sort.h"
#include <cassert>
#include <iostream>
#include <limits>
template <typename DerivedV, typename DerivedF, typename DeriveddblA>
IGL_INLINE void igl::doublearea(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
Eigen::PlainObjectBase<DeriveddblA> & dblA)
{
// quads are handled by a specialized function
if (F.cols() == 4) return doublearea_quad(V,F,dblA);
const int dim = V.cols();
// Only support triangles
assert(F.cols() == 3);
const size_t m = F.rows();
// Compute edge lengths
Eigen::Matrix<typename DerivedV::Scalar, Eigen::Dynamic, 3> l;
// Projected area helper
const auto & proj_doublearea =
[&V,&F](const int x, const int y, const int f)
->typename DerivedV::Scalar
{
auto rx = V(F(f,0),x)-V(F(f,2),x);
auto sx = V(F(f,1),x)-V(F(f,2),x);
auto ry = V(F(f,0),y)-V(F(f,2),y);
auto sy = V(F(f,1),y)-V(F(f,2),y);
return rx*sy - ry*sx;
};
switch(dim)
{
case 3:
{
dblA = DeriveddblA::Zero(m,1);
for(size_t f = 0;f<m;f++)
{
for(int d = 0;d<3;d++)
{
const auto dblAd = proj_doublearea(d,(d+1)%3,f);
dblA(f) += dblAd*dblAd;
}
}
dblA = dblA.array().sqrt().eval();
break;
}
case 2:
{
dblA.resize(m,1);
for(size_t f = 0;f<m;f++)
{
dblA(f) = proj_doublearea(0,1,f);
}
break;
}
default:
{
edge_lengths(V,F,l);
return doublearea(l,0.,dblA);
}
}
}
template <
typename DerivedA,
typename DerivedB,
typename DerivedC,
typename DerivedD>
IGL_INLINE void igl::doublearea(
const Eigen::MatrixBase<DerivedA> & A,
const Eigen::MatrixBase<DerivedB> & B,
const Eigen::MatrixBase<DerivedC> & C,
Eigen::PlainObjectBase<DerivedD> & D)
{
assert((B.cols() == A.cols()) && "dimensions of A and B should match");
assert((C.cols() == A.cols()) && "dimensions of A and C should match");
assert(A.rows() == B.rows() && "corners should have same length");
assert(A.rows() == C.rows() && "corners should have same length");
switch(A.cols())
{
case 2:
{
// For 2d compute signed area
const auto & R = A-C;
const auto & S = B-C;
D = (R.col(0).array()*S.col(1).array() -
R.col(1).array()*S.col(0).array()).template cast<
typename DerivedD::Scalar>();
break;
}
default:
{
Eigen::Matrix<typename DerivedD::Scalar,DerivedD::RowsAtCompileTime,3>
uL(A.rows(),3);
uL.col(0) = ((B-C).rowwise().norm()).template cast<typename DerivedD::Scalar>();
uL.col(1) = ((C-A).rowwise().norm()).template cast<typename DerivedD::Scalar>();
uL.col(2) = ((A-B).rowwise().norm()).template cast<typename DerivedD::Scalar>();
doublearea(uL,D);
}
}
}
template <
typename DerivedA,
typename DerivedB,
typename DerivedC>
IGL_INLINE typename DerivedA::Scalar igl::doublearea_single(
const Eigen::MatrixBase<DerivedA> & A,
const Eigen::MatrixBase<DerivedB> & B,
const Eigen::MatrixBase<DerivedC> & C)
{
assert(A.size() == 2 && "Vertices should be 2D");
assert(B.size() == 2 && "Vertices should be 2D");
assert(C.size() == 2 && "Vertices should be 2D");
auto r = A-C;
auto s = B-C;
return r(0)*s(1) - r(1)*s(0);
}
template <typename Derivedl, typename DeriveddblA>
IGL_INLINE void igl::doublearea(
const Eigen::MatrixBase<Derivedl> & ul,
Eigen::PlainObjectBase<DeriveddblA> & dblA)
{
// Default is to leave NaNs and fire asserts in debug mode
return doublearea(
ul,std::numeric_limits<typename Derivedl::Scalar>::quiet_NaN(),dblA);
}
template <typename Derivedl, typename DeriveddblA>
IGL_INLINE void igl::doublearea(
const Eigen::MatrixBase<Derivedl> & ul,
const typename Derivedl::Scalar nan_replacement,
Eigen::PlainObjectBase<DeriveddblA> & dblA)
{
using namespace Eigen;
using namespace std;
typedef typename Derivedl::Index Index;
// Only support triangles
assert(ul.cols() == 3);
// Number of triangles
const Index m = ul.rows();
Eigen::Matrix<typename Derivedl::Scalar, Eigen::Dynamic, 3> l;
MatrixXi _;
//
// "Miscalculating Area and Angles of a Needle-like Triangle"
// https://people.eecs.berkeley.edu/~wkahan/Triangle.pdf
igl::sort(ul,2,false,l,_);
// semiperimeters
//Matrix<typename Derivedl::Scalar,Dynamic,1> s = l.rowwise().sum()*0.5;
//assert((Index)s.rows() == m);
// resize output
dblA.resize(l.rows(),1);
parallel_for(
m,
[&l,&dblA,&nan_replacement](const int i)
{
// Kahan's Heron's formula
typedef typename Derivedl::Scalar Scalar;
const Scalar arg =
(l(i,0)+(l(i,1)+l(i,2)))*
(l(i,2)-(l(i,0)-l(i,1)))*
(l(i,2)+(l(i,0)-l(i,1)))*
(l(i,0)+(l(i,1)-l(i,2)));
dblA(i) = 2.0*0.25*sqrt(arg);
// Alec: If the input edge lengths were computed from floating point
// vertex positions then there's no guarantee that they fulfill the
// triangle inequality (in their floating point approximations). For
// nearly degenerate triangles the round-off error during side-length
// computation may be larger than (or rather smaller) than the height of
// the triangle. In "Lecture Notes on Geometric Robustness" Shewchuck 09,
// Section 3.1 http://www.cs.berkeley.edu/~jrs/meshpapers/robnotes.pdf,
// he recommends computing the triangle areas for 2D and 3D using 2D
// signed areas computed with determinants.
assert(
(nan_replacement == nan_replacement ||
(l(i,2) - (l(i,0)-l(i,1)))>=0)
&& "Side lengths do not obey the triangle inequality.");
if(dblA(i) != dblA(i))
{
dblA(i) = nan_replacement;
}
assert(dblA(i) == dblA(i) && "DOUBLEAREA() PRODUCED NaN");
},
1000l);
}
template <typename DerivedV, typename DerivedF, typename DeriveddblA>
IGL_INLINE void igl::doublearea_quad(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
Eigen::PlainObjectBase<DeriveddblA> & dblA)
{
assert(V.cols() == 3); // Only supports points in 3D
assert(F.cols() == 4); // Only support quads
const size_t m = F.rows();
// Split the quads into triangles
Eigen::MatrixXi Ft(F.rows()*2,3);
for(size_t i=0; i<m;++i)
{
Ft.row(i*2 ) << F(i,0), F(i,1), F(i,2);
Ft.row(i*2 + 1) << F(i,2), F(i,3), F(i,0);
}
// Compute areas
Eigen::Matrix<typename DeriveddblA::Scalar, Eigen::Dynamic, 1> doublearea_tri;
igl::doublearea(V,Ft,doublearea_tri);
dblA.resize(F.rows(),1);
for(unsigned i=0; i<F.rows();++i)
{
dblA(i) = doublearea_tri(i*2) + doublearea_tri(i*2 + 1);
}
}
#ifdef IGL_STATIC_LIBRARY
// Explicit template instantiation
// generated by autoexplicit.sh
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
// generated by autoexplicit.sh
template void igl::doublearea<Eigen::Matrix<float, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::Matrix<double, -1, -1, 0, -1, -1>::Scalar, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 2, 0, -1, 2>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 2, 0, -1, 2> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::Matrix<double, -1, -1, 1, -1, -1>::Scalar, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, 1, 3, 1, 1, 3>, Eigen::Matrix<float, 1, 3, 1, 1, 3>, Eigen::Matrix<float, 1, 3, 1, 1, 3>, Eigen::Matrix<double, 1, 1, 0, 1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<float, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<float, 1, 3, 1, 1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, 1, 1, 0, 1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<unsigned int, -1, 3, 1, -1, 3>, Eigen::Matrix<float, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<unsigned int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<float, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<float, -1, 3, 1, -1, 3>, Eigen::Matrix<unsigned int, -1, -1, 1, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<float, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<unsigned int, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 1, -1, 3>, Eigen::Matrix<unsigned int, -1, -1, 1, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<unsigned int, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
template void igl::doublearea<Eigen::Matrix<double, 1, 3, 1, 1, 3>, Eigen::Matrix<double, 1, 3, 1, 1, 3>, Eigen::Matrix<double, 1, 3, 1, 1, 3>, Eigen::Matrix<double, 1, 1, 0, 1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<double, 1, 3, 1, 1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<double, 1, 3, 1, 1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, 1, 1, 0, 1, 1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
template void igl::doublearea<Eigen::Matrix<double, -1, 3, 1, -1, 3>, Eigen::Matrix<int, -1, 3, 1, -1, 3>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 1, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 1, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
template Eigen::Matrix<double, -1, -1, 0, -1, -1>::Scalar igl::doublearea_single<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&);
template Eigen::Matrix<double, 2, 1, 0, 2, 1>::Scalar igl::doublearea_single<Eigen::Matrix<double, 2, 1, 0, 2, 1>, Eigen::Matrix<double, 2, 1, 0, 2, 1>, Eigen::Matrix<double, 2, 1, 0, 2, 1> >(Eigen::MatrixBase<Eigen::Matrix<double, 2, 1, 0, 2, 1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, 2, 1, 0, 2, 1> > const&, Eigen::MatrixBase<Eigen::Matrix<double, 2, 1, 0, 2, 1> > const&);
#endif