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first root finder class implementation
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140
lib/GslHybridRootFinder.cpp
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140
lib/GslHybridRootFinder.cpp
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/*
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* GslHybridRootFinder.cpp, part of LatAnalyze 3
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*
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* Copyright (C) 2013 - 2014 Antonin Portelli
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*
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* LatAnalyze 3 is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* LatAnalyze 3 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 General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with LatAnalyze 3. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <LatAnalyze/GslHybridRootFinder.hpp>
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#include <LatAnalyze/includes.hpp>
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#include <gsl/gsl_vector.h>
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#include <gsl/gsl_multiroots.h>
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using namespace std;
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using namespace Latan;
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/******************************************************************************
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* GslHybridRootFinder implementation *
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******************************************************************************/
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// output //////////////////////////////////////////////////////////////////////
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void GslHybridRootFinder::printState(void)
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{
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if (solver_)
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{
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cout << "x=";
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for (size_t i = 0; i < solver_->x->size; ++i)
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{
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cout << " " << scientific << gsl_vector_get(solver_->x, i);
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}
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cout << endl;
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cout << "f=";
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for (size_t i = 0; i < solver_->f->size; ++i)
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{
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cout << " " << scientific << gsl_vector_get(solver_->f, i);
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}
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cout << endl;
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}
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}
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// solver //////////////////////////////////////////////////////////////////////
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const DVec &
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GslHybridRootFinder::operator()(const vector<DoubleFunction *> &func)
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{
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DVec &res = getState();
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Verbosity verbosity = getVerbosity();
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int status;
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unsigned int iter = 0;
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const size_t nFunc = func.size();
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Index nArg;
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gsl_vector *x;
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gsl_multiroot_function fStruct;
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int (*fWrap)(const gsl_vector *, void *, gsl_vector *) =
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[](const gsl_vector *var, void *vFunc, gsl_vector *f)->int
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{
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vector<DoubleFunction *> &fPt =
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*static_cast<vector<DoubleFunction *> *>(vFunc);
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for (unsigned int i = 0; i < fPt.size(); ++i)
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{
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gsl_vector_set(f, i, (*fPt[i])(var->data));
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}
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return GSL_SUCCESS;
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};
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nArg = func[0]->getNArg();
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for (auto f: func)
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{
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if (f->getNArg() != nArg)
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{
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LATAN_ERROR(Size,
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"equations do not have the same number of unknown");
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}
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}
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if (nArg != static_cast<Index>(nFunc))
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{
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LATAN_ERROR(Size, "equation and unknown number mismatch");
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}
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if (res.size() != nArg)
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{
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res.conservativeResize(nArg);
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}
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solver_ = gsl_multiroot_fsolver_alloc(gsl_multiroot_fsolver_hybrids, nFunc);
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x = gsl_vector_alloc(nFunc);
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FOR_VEC(res, i)
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{
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gsl_vector_set(x, static_cast<size_t>(i), res(i));
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}
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fStruct.n = nFunc;
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fStruct.params = reinterpret_cast<void *>(
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const_cast<vector<DoubleFunction *> *>(&func));
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fStruct.f = fWrap;
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gsl_multiroot_fsolver_set(solver_, &fStruct, x);
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do
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{
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iter++;
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status = gsl_multiroot_fsolver_iterate(solver_);
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if (verbosity >= Verbosity::Debug)
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{
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cout << "--- iteration " << iter << endl;
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printState();
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}
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if (status)
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{
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break;
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}
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status = gsl_multiroot_test_residual(solver_->f, getPrecision());
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} while ((status == GSL_CONTINUE)&&(iter < getMaxIteration()));
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if (verbosity >= Verbosity::Debug)
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{
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cout << "--- done" << endl;
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cout << "end status: " << gsl_strerror(status) << endl;
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}
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if (status)
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{
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LATAN_WARNING("GSL hybrid root finder ended with status '" +
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strFrom(gsl_strerror(status)) + "'");
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}
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FOR_VEC(res, i)
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{
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res(i) = gsl_vector_get(solver_->x, static_cast<size_t>(i));
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}
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gsl_vector_free(x);
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gsl_multiroot_fsolver_free(solver_);
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solver_ = nullptr;
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return res;
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}
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