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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, you can redistribute it and/or
+// modify it under the terms of the GNU General Public License as
+// published by the Free Software Foundation; either version 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#ifndef EIGEN_JACOBI_H
+#define EIGEN_JACOBI_H
+
+template<typename Derived>
+void MatrixBase<Derived>::applyJacobiOnTheLeft(int p, int q, Scalar c, Scalar s)
+{
+ for(int i = 0; i < cols(); ++i)
+ {
+ Scalar tmp = coeff(p,i);
+ coeffRef(p,i) = c * tmp - s * coeff(q,i);
+ coeffRef(q,i) = s * tmp + c * coeff(q,i);
+ }
+}
+
+template<typename Derived>
+void MatrixBase<Derived>::applyJacobiOnTheRight(int p, int q, Scalar c, Scalar s)
+{
+ for(int i = 0; i < rows(); ++i)
+ {
+ Scalar tmp = coeff(i,p);
+ coeffRef(i,p) = c * tmp - s * coeff(i,q);
+ coeffRef(i,q) = s * tmp + c * coeff(i,q);
+ }
+}
+
+template<typename Scalar>
+bool ei_makeJacobi(Scalar x, Scalar y, Scalar z, Scalar max_coeff, Scalar *c, Scalar *s)
+{
+ if(ei_abs(y) < max_coeff * 0.5 * machine_epsilon<Scalar>())
+ {
+ *c = Scalar(1);
+ *s = Scalar(0);
+ return true;
+ }
+ else
+ {
+ Scalar tau = (z - x) / (2 * y);
+ Scalar w = ei_sqrt(1 + ei_abs2(tau));
+ Scalar t;
+ if(tau>0)
+ t = Scalar(1) / (tau + w);
+ else
+ t = Scalar(1) / (tau - w);
+ *c = Scalar(1) / ei_sqrt(1 + ei_abs2(t));
+ *s = *c * t;
+ return false;
+ }
+}
+
+template<typename Derived>
+inline bool MatrixBase<Derived>::makeJacobi(int p, int q, Scalar max_coeff, Scalar *c, Scalar *s)
+{
+ return ei_makeJacobi(coeff(p,p), coeff(p,q), coeff(q,q), max_coeff, c, s);
+}
+
+template<typename Derived>
+inline bool MatrixBase<Derived>::makeJacobiForAtA(int p, int q, Scalar max_coeff, Scalar *c, Scalar *s)
+{
+ return ei_makeJacobi(col(p).squaredNorm(),
+ col(p).dot(col(q)),
+ col(q).squaredNorm(),
+ max_coeff,
+ c,s);
+}
+
+
+#endif // EIGEN_JACOBI_H