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@@ -0,0 +1,54 @@
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+// This file is part of libigl, a simple c++ geometry processing library.
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+//
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+// Copyright (C) 2016 Michael Rabinovich <michaelrabinovich27@gmail.com@gmail.com>
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+//
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+// This Source Code Form is subject to the terms of the Mozilla Public License
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+// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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+// obtain one at http://mozilla.org/MPL/2.0/.
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+#include "flipped_triangles.h"
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+
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+#include "list_to_matrix.h"
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+#include <vector>
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+template <typename DerivedV, typename DerivedF, typename DerivedX>
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+IGL_INLINE void igl::flipped_triangles(
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+ const Eigen::PlainObjectBase<DerivedV> & V,
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+ const Eigen::PlainObjectBase<DerivedF> & F,
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+ Eigen::PlainObjectBase<DerivedX> & X)
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+{
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+ assert(V.cols() == 2 && "V should contain 2D positions");
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+ std::vector<typename DerivedX::Scalar> flip_idx;
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+ for (int i = 0; i < F.rows(); i++)
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+ {
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+ // https://www.cs.cmu.edu/~quake/robust.html
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+ typedef Eigen::Matrix<typename DerivedV::Scalar,1,2> RowVector2S;
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+ RowVector2S v1_n = V.row(F(i,0));
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+ RowVector2S v2_n = V.row(F(i,1));
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+ RowVector2S v3_n = V.row(F(i,2));
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+ Eigen::Matrix<typename DerivedV::Scalar,3,3> T2_Homo;
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+ T2_Homo.col(0) << v1_n(0),v1_n(1),1.;
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+ T2_Homo.col(1) << v2_n(0),v2_n(1),1.;
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+ T2_Homo.col(2) << v3_n(0),v3_n(1),1.;
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+ double det = T2_Homo.determinant();
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+ assert(det == det && "det should not be NaN");
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+ if (det < 0)
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+ {
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+ flip_idx.push_back(i);
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+ }
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+ }
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+ igl::list_to_matrix(flip_idx,X);
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+}
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+
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+template <typename DerivedV, typename DerivedF>
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+IGL_INLINE Eigen::VectorXi igl::flipped_triangles(
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+ const Eigen::PlainObjectBase<DerivedV> & V,
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+ const Eigen::PlainObjectBase<DerivedF> & F)
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+{
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+ Eigen::VectorXi X;
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+ flipped_triangles(V,F,X);
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+ return X;
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+}
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+
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+#ifdef IGL_STATIC_LIBRARY
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+// Explicit template specialization
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+template void igl::flipped_triangles<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::PlainObjectBase<Eigen::Matrix<double, -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> >&);
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+#endif
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