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// 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/.
#ifndef IGL_ADJACENCY_MATRIX_H
#define IGL_ADJACENCY_MATRIX_H
#include "igl_inline.h"
#define EIGEN_YES_I_KNOW_SPARSE_MODULE_IS_NOT_STABLE_YET
#include <Eigen/Dense>
#include <Eigen/Sparse>
namespace igl
{
/// Constructs the graph adjacency matrix of a given mesh (V,F)
///
/// @tparam T should be a eigen sparse matrix primitive type like `int` or `double`
/// @param[in] F #F by dim list of mesh simplices
/// @param[out] A max(F)+1 by max(F)+1 adjacency matrix, each row i corresponding to V(i,:)
///
/// #### Example
/// \code{.cpp}
/// // Mesh in (V,F)
/// Eigen::SparseMatrix<double> A;
/// adjacency_matrix(F,A);
/// // sum each row
/// SparseVector<double> Asum;
/// sum(A,1,Asum);
/// // Convert row sums into diagonal of sparse matrix
/// SparseMatrix<double> Adiag;
/// diag(Asum,Adiag);
/// // Build uniform laplacian
/// SparseMatrix<double> U;
/// U = A-Adiag;
/// \endcode
///
/// \see
/// edges,
/// cotmatrix,
/// diag
template <typename DerivedF, typename T>
IGL_INLINE void adjacency_matrix(
const Eigen::MatrixBase<DerivedF> & F,
Eigen::SparseMatrix<T>& A);
/// Constructs an vertex adjacency for a polygon mesh.
///
/// @param[in] I #I vectorized list of polygon corner indices into rows of some matrix V
/// @param[in] C #polygons+1 list of cumulative polygon sizes so that C(i+1)-C(i) =
/// size of the ith polygon, and so I(C(i)) through I(C(i+1)-1) are the
/// indices of the ith polygon
/// @param[out] A max(I)+1 by max(I)+1 adjacency matrix, each row i corresponding to V(i,:)
///
template <typename DerivedI, typename DerivedC, typename T>
IGL_INLINE void adjacency_matrix(
const Eigen::MatrixBase<DerivedI> & I,
const Eigen::MatrixBase<DerivedC> & C,
Eigen::SparseMatrix<T>& A);
}
#ifndef IGL_STATIC_LIBRARY
# include "adjacency_matrix.cpp"
#endif
#endif