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Remove LGPL Code and references.
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committed by
Rasmus Munk Larsen
parent
e71f88abce
commit
e256ad1823
@@ -1,189 +0,0 @@
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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/* NOTE The functions of this file have been adapted from the GMM++ library */
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//========================================================================
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//
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// Copyright (C) 2002-2007 Yves Renard
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//
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// This file is a part of GETFEM++
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//
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// Getfem++ is free software; you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; version 2.1 of the License.
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//
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// This program is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Lesser General Public License for more details.
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// You should have received a copy of the GNU Lesser General Public
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// License along with this program; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301,
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// USA.
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//
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//========================================================================
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#include "../../../../Eigen/src/Core/util/NonMPL2.h"
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#ifndef EIGEN_CONSTRAINEDCG_H
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#define EIGEN_CONSTRAINEDCG_H
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#include "../../../../Eigen/Core"
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#include "./InternalHeaderCheck.h"
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namespace Eigen {
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namespace internal {
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/** \ingroup IterativeLinearSolvers_Module
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* Compute the pseudo inverse of the non-square matrix C such that
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* \f$ CINV = (C * C^T)^{-1} * C \f$ based on a conjugate gradient method.
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*
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* This function is internally used by constrained_cg.
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*/
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template <typename CMatrix, typename CINVMatrix>
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void pseudo_inverse(const CMatrix &C, CINVMatrix &CINV)
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{
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// optimisable : copie de la ligne, precalcul de C * trans(C).
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typedef typename CMatrix::Scalar Scalar;
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typedef typename CMatrix::Index Index;
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// FIXME use sparse vectors ?
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typedef Matrix<Scalar,Dynamic,1> TmpVec;
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Index rows = C.rows(), cols = C.cols();
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TmpVec d(rows), e(rows), l(cols), p(rows), q(rows), r(rows);
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Scalar rho, rho_1, alpha;
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d.setZero();
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typedef Triplet<double> T;
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std::vector<T> tripletList;
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for (Index i = 0; i < rows; ++i)
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{
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d[i] = 1.0;
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rho = 1.0;
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e.setZero();
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r = d;
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p = d;
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while (rho >= 1e-38)
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{ /* conjugate gradient to compute e */
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/* which is the i-th row of inv(C * trans(C)) */
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l = C.transpose() * p;
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q = C * l;
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alpha = rho / p.dot(q);
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e += alpha * p;
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r += -alpha * q;
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rho_1 = rho;
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rho = r.dot(r);
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p = (rho/rho_1) * p + r;
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}
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l = C.transpose() * e; // l is the i-th row of CINV
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// FIXME add a generic "prune/filter" expression for both dense and sparse object to sparse
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for (Index j=0; j<l.size(); ++j)
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if (l[j]<1e-15)
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tripletList.push_back(T(i,j,l(j)));
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d[i] = 0.0;
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}
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CINV.setFromTriplets(tripletList.begin(), tripletList.end());
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}
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/** \ingroup IterativeLinearSolvers_Module
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* Constrained conjugate gradient
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*
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* Computes the minimum of \f$ 1/2((Ax).x) - bx \f$ under the constraint \f$ Cx \le f \f$
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*/
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template<typename TMatrix, typename CMatrix,
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typename VectorX, typename VectorB, typename VectorF>
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void constrained_cg(const TMatrix& A, const CMatrix& C, VectorX& x,
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const VectorB& b, const VectorF& f, IterationController &iter)
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{
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using std::sqrt;
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typedef typename TMatrix::Scalar Scalar;
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typedef typename TMatrix::Index Index;
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typedef Matrix<Scalar,Dynamic,1> TmpVec;
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Scalar rho = 1.0, rho_1, lambda, gamma;
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Index xSize = x.size();
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TmpVec p(xSize), q(xSize), q2(xSize),
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r(xSize), old_z(xSize), z(xSize),
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memox(xSize);
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std::vector<bool> satured(C.rows());
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p.setZero();
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iter.setRhsNorm(sqrt(b.dot(b))); // gael vect_sp(PS, b, b)
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if (iter.rhsNorm() == 0.0) iter.setRhsNorm(1.0);
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SparseMatrix<Scalar,RowMajor> CINV(C.rows(), C.cols());
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pseudo_inverse(C, CINV);
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while(true)
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{
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// computation of residual
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old_z = z;
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memox = x;
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r = b;
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r += A * -x;
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z = r;
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bool transition = false;
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for (Index i = 0; i < C.rows(); ++i)
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{
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Scalar al = C.row(i).dot(x) - f.coeff(i);
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if (al >= -1.0E-15)
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{
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if (!satured[i])
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{
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satured[i] = true;
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transition = true;
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}
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Scalar bb = CINV.row(i).dot(z);
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if (bb > 0.0)
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// FIXME: we should allow that: z += -bb * C.row(i);
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for (typename CMatrix::InnerIterator it(C,i); it; ++it)
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z.coeffRef(it.index()) -= bb*it.value();
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}
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else
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satured[i] = false;
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}
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// descent direction
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rho_1 = rho;
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rho = r.dot(z);
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if (iter.finished(rho)) break;
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if (transition || iter.first()) gamma = 0.0;
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else gamma = (std::max)(0.0, (rho - old_z.dot(z)) / rho_1);
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p = z + gamma*p;
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++iter;
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// one dimensional optimization
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q = A * p;
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lambda = rho / q.dot(p);
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for (Index i = 0; i < C.rows(); ++i)
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{
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if (!satured[i])
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{
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Scalar bb = C.row(i).dot(p) - f[i];
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if (bb > 0.0)
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lambda = (std::min)(lambda, (f.coeff(i)-C.row(i).dot(x)) / bb);
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}
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}
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x += lambda * p;
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memox -= x;
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}
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}
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} // end namespace internal
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} // end namespace Eigen
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#endif // EIGEN_CONSTRAINEDCG_H
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@@ -1,156 +0,0 @@
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
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/* NOTE The class IterationController has been adapted from the iteration
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* class of the GMM++ and ITL libraries.
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*/
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//=======================================================================
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// Copyright (C) 1997-2001
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// Authors: Andrew Lumsdaine <lums@osl.iu.edu>
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// Lie-Quan Lee <llee@osl.iu.edu>
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//
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// This file is part of the Iterative Template Library
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//
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// You should have received a copy of the License Agreement for the
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// Iterative Template Library along with the software; see the
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// file LICENSE.
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//
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// Permission to modify the code and to distribute modified code is
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// granted, provided the text of this NOTICE is retained, a notice that
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// the code was modified is included with the above COPYRIGHT NOTICE and
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// with the COPYRIGHT NOTICE in the LICENSE file, and that the LICENSE
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// file is distributed with the modified code.
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//
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// LICENSOR MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED.
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// By way of example, but not limitation, Licensor MAKES NO
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// REPRESENTATIONS OR WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY
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// PARTICULAR PURPOSE OR THAT THE USE OF THE LICENSED SOFTWARE COMPONENTS
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// OR DOCUMENTATION WILL NOT INFRINGE ANY PATENTS, COPYRIGHTS, TRADEMARKS
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// OR OTHER RIGHTS.
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//=======================================================================
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//========================================================================
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//
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// Copyright (C) 2002-2007 Yves Renard
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//
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// This file is a part of GETFEM++
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//
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// Getfem++ is free software; you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; version 2.1 of the License.
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//
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// This program is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Lesser General Public License for more details.
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// You should have received a copy of the GNU Lesser General Public
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// License along with this program; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301,
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// USA.
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//
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//========================================================================
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#include "../../../../Eigen/src/Core/util/NonMPL2.h"
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#ifndef EIGEN_ITERATION_CONTROLLER_H
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#define EIGEN_ITERATION_CONTROLLER_H
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#include "./InternalHeaderCheck.h"
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namespace Eigen {
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/** \ingroup IterativeLinearSolvers_Module
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* \class IterationController
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*
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* \brief Controls the iterations of the iterative solvers
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*
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* This class has been adapted from the iteration class of GMM++ and ITL libraries.
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*
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*/
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class IterationController
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{
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protected :
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double m_rhsn; ///< Right hand side norm
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size_t m_maxiter; ///< Max. number of iterations
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int m_noise; ///< if noise > 0 iterations are printed
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double m_resmax; ///< maximum residual
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double m_resminreach, m_resadd;
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size_t m_nit; ///< iteration number
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double m_res; ///< last computed residual
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bool m_written;
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void (*m_callback)(const IterationController&);
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public :
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void init()
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{
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m_nit = 0; m_res = 0.0; m_written = false;
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m_resminreach = 1E50; m_resadd = 0.0;
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m_callback = 0;
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}
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IterationController(double r = 1.0E-8, int noi = 0, size_t mit = size_t(-1))
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: m_rhsn(1.0), m_maxiter(mit), m_noise(noi), m_resmax(r) { init(); }
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void operator ++(int) { m_nit++; m_written = false; m_resadd += m_res; }
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void operator ++() { (*this)++; }
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bool first() { return m_nit == 0; }
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/* get/set the "noisyness" (verbosity) of the solvers */
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int noiseLevel() const { return m_noise; }
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void setNoiseLevel(int n) { m_noise = n; }
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void reduceNoiseLevel() { if (m_noise > 0) m_noise--; }
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double maxResidual() const { return m_resmax; }
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void setMaxResidual(double r) { m_resmax = r; }
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double residual() const { return m_res; }
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/* change the user-definable callback, called after each iteration */
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void setCallback(void (*t)(const IterationController&))
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{
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m_callback = t;
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}
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size_t iteration() const { return m_nit; }
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void setIteration(size_t i) { m_nit = i; }
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size_t maxIterarions() const { return m_maxiter; }
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void setMaxIterations(size_t i) { m_maxiter = i; }
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double rhsNorm() const { return m_rhsn; }
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void setRhsNorm(double r) { m_rhsn = r; }
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bool converged() const { return m_res <= m_rhsn * m_resmax; }
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bool converged(double nr)
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{
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using std::abs;
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m_res = abs(nr);
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m_resminreach = (std::min)(m_resminreach, m_res);
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return converged();
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}
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template<typename VectorType> bool converged(const VectorType &v)
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{ return converged(v.squaredNorm()); }
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bool finished(double nr)
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{
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if (m_callback) m_callback(*this);
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if (m_noise > 0 && !m_written)
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{
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converged(nr);
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m_written = true;
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}
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return (m_nit >= m_maxiter || converged(nr));
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}
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template <typename VectorType>
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bool finished(const MatrixBase<VectorType> &v)
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{ return finished(double(v.squaredNorm())); }
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};
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} // end namespace Eigen
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#endif // EIGEN_ITERATION_CONTROLLER_H
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