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// 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 "circumradius.h"
#include "edge_lengths.h"
#include "doublearea.h"
template <
typename DerivedV,
typename DerivedF,
typename DerivedR>
IGL_INLINE void igl::circumradius(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
Eigen::PlainObjectBase<DerivedR> & R)
{
Eigen::Matrix<typename DerivedV::Scalar,Eigen::Dynamic,3> l;
igl::edge_lengths(V,F,l);
DerivedR A;
igl::doublearea(l,0.,A);
// use formula: R=abc/(4*area) to compute the circum radius
R = l.col(0).array() * l.col(1).array() * l.col(2).array() / (2.0*A.array());
}
#ifdef IGL_STATIC_LIBRARY
template void igl::circumradius<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> >&);
#endif