RungeKutta4Solver.cpp

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00001 /******************************************************************************
00002 *       SOFA, Simulation Open-Framework Architecture, version 1.0 beta 3      *
00003 *                (c) 2006-2008 MGH, INRIA, USTL, UJF, CNRS                    *
00004 *                                                                             *
00005 * This library is free software; you can redistribute it and/or modify it     *
00006 * under the terms of the GNU Lesser General Public License as published by    *
00007 * the Free Software Foundation; either version 2.1 of the License, or (at     *
00008 * your option) any later version.                                             *
00009 *                                                                             *
00010 * This library is distributed in the hope that it will be useful, but WITHOUT *
00011 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or       *
00012 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License *
00013 * for more details.                                                           *
00014 *                                                                             *
00015 * You should have received a copy of the GNU Lesser General Public License    *
00016 * along with this library; if not, write to the Free Software Foundation,     *
00017 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301 USA.          *
00018 *******************************************************************************
00019 *                               SOFA :: Modules                               *
00020 *                                                                             *
00021 * Authors: The SOFA Team and external contributors (see Authors.txt)          *
00022 *                                                                             *
00023 * Contact information: contact@sofa-framework.org                             *
00024 ******************************************************************************/
00025 #include <sofa/component/odesolver/RungeKutta4Solver.h>
00026 #include <sofa/simulation/common/MechanicalVisitor.h>
00027 #include <sofa/core/ObjectFactory.h>
00028 #include <math.h>
00029 
00030 
00031 namespace sofa
00032 {
00033 
00034 namespace component
00035 {
00036 
00037 namespace odesolver
00038 {
00039 
00040 using namespace core::componentmodel::behavior;
00041 using namespace sofa::defaulttype;
00042 
00043 int RungeKutta4SolverClass = core::RegisterObject("A popular explicit time integrator")
00044     .add< RungeKutta4Solver >()
00045     .addAlias("RungeKutta4")
00046     ;
00047 
00048 SOFA_DECL_CLASS(RungeKutta4);
00049     
00050     
00051 void RungeKutta4Solver::solve(double dt)
00052 {
00053     //std::cout << "RK4 Init\n";
00054     MultiVector pos(this, VecId::position());
00055     MultiVector vel(this, VecId::velocity());
00056     MultiVector k1a(this, VecId::V_DERIV);
00057     MultiVector k2a(this, VecId::V_DERIV);
00058     MultiVector k3a(this, VecId::V_DERIV);
00059     MultiVector k4a(this, VecId::V_DERIV);
00060     MultiVector& k1v = vel; //(this, VecId::V_DERIV);
00061     MultiVector k2v(this, VecId::V_DERIV);
00062     MultiVector k3v(this, VecId::V_DERIV);
00063     MultiVector k4v(this, VecId::V_DERIV);
00064     MultiVector newX(this, VecId::V_COORD);
00065     //MultiVector newV(this, VecId::V_DERIV);
00066     const bool log = this->f_printLog.getValue();
00067 
00068     double stepBy2 = double(dt / 2.0);
00069     double stepBy3 = double(dt / 3.0);
00070     double stepBy6 = double(dt / 6.0);
00071 
00072     double startTime = this->getTime();
00073 
00074     addSeparateGravity(dt); // v += dt*g . Used if mass wants to added G separately from the other forces to v.
00075 
00076     //First step
00077     if (log) std::cout << "RK4 Step 1\n";
00078     //k1v = vel;
00079     computeAcc (startTime, k1a, pos, vel);
00080 
00081     //Step 2
00082     if (log) std::cout << "RK4 Step 2\n";
00083 #ifdef SOFA_NO_VMULTIOP // unoptimized version
00084     newX = pos;
00085     k2v = vel;
00086     newX.peq(k1v, stepBy2);
00087     k2v.peq(k1a, stepBy2);
00088 #else // single-operation optimization
00089     {
00090         simulation::MechanicalVMultiOpVisitor vmop;
00091         vmop.ops.resize(2);
00092         vmop.ops[0].first = (VecId)newX;
00093         vmop.ops[0].second.push_back(std::make_pair((VecId)pos,1.0));
00094         vmop.ops[0].second.push_back(std::make_pair((VecId)k1v,stepBy2));
00095         vmop.ops[1].first = (VecId)k2v;
00096         vmop.ops[1].second.push_back(std::make_pair((VecId)vel,1.0));
00097         vmop.ops[1].second.push_back(std::make_pair((VecId)k1a,stepBy2));
00098         vmop.execute(this->getContext());
00099     }
00100 #endif
00101     
00102     computeAcc ( startTime+stepBy2, k2a, newX, k2v );
00103 
00104     // step 3
00105     if (log) std::cout << "RK4 Step 3\n";
00106 #ifdef SOFA_NO_VMULTIOP // unoptimized version
00107     newX = pos;
00108     k3v = vel;
00109     newX.peq(k2v, stepBy2);
00110     k3v.peq(k2a, stepBy2);
00111 #else // single-operation optimization
00112     {
00113         simulation::MechanicalVMultiOpVisitor vmop;
00114         vmop.ops.resize(2);
00115         vmop.ops[0].first = (VecId)newX;
00116         vmop.ops[0].second.push_back(std::make_pair((VecId)pos,1.0));
00117         vmop.ops[0].second.push_back(std::make_pair((VecId)k2v,stepBy2));
00118         vmop.ops[1].first = (VecId)k3v;
00119         vmop.ops[1].second.push_back(std::make_pair((VecId)vel,1.0));
00120         vmop.ops[1].second.push_back(std::make_pair((VecId)k2a,stepBy2));
00121         vmop.execute(this->getContext());
00122     }
00123 #endif
00124     
00125     computeAcc ( startTime+stepBy2, k3a, newX, k3v );
00126 
00127     // step 4
00128     if (log) std::cout << "RK4 Step 4\n";
00129 #ifdef SOFA_NO_VMULTIOP // unoptimized version
00130     newX = pos;
00131     k4v = vel;
00132     newX.peq(k3v, dt);
00133     k4v.peq(k3a, dt);
00134 #else // single-operation optimization
00135     {
00136         simulation::MechanicalVMultiOpVisitor vmop;
00137         vmop.ops.resize(2);
00138         vmop.ops[0].first = (VecId)newX;
00139         vmop.ops[0].second.push_back(std::make_pair((VecId)pos,1.0));
00140         vmop.ops[0].second.push_back(std::make_pair((VecId)k3v,dt));
00141         vmop.ops[1].first = (VecId)k4v;
00142         vmop.ops[1].second.push_back(std::make_pair((VecId)vel,1.0));
00143         vmop.ops[1].second.push_back(std::make_pair((VecId)k3a,dt));
00144         vmop.execute(this->getContext());
00145     }
00146 #endif
00147     
00148     computeAcc( startTime+dt, k4a, newX, k4v);
00149 
00150     if (log) std::cout << "RK4 Final\n";
00151 #ifdef SOFA_NO_VMULTIOP // unoptimized version
00152     pos.peq(k1v,stepBy6);
00153     vel.peq(k1a,stepBy6);
00154     pos.peq(k2v,stepBy3);
00155     vel.peq(k2a,stepBy3);
00156     pos.peq(k3v,stepBy3);
00157     vel.peq(k3a,stepBy3);
00158     pos.peq(k4v,stepBy6);
00159     vel.peq(k4a,stepBy6);
00160 #else // single-operation optimization
00161     {
00162         simulation::MechanicalVMultiOpVisitor vmop;
00163         vmop.ops.resize(2);
00164         vmop.ops[0].first = (VecId)pos;
00165         vmop.ops[0].second.push_back(std::make_pair((VecId)pos,1.0));
00166         vmop.ops[0].second.push_back(std::make_pair((VecId)k1v,stepBy6));
00167         vmop.ops[0].second.push_back(std::make_pair((VecId)k2v,stepBy3));
00168         vmop.ops[0].second.push_back(std::make_pair((VecId)k3v,stepBy3));
00169         vmop.ops[0].second.push_back(std::make_pair((VecId)k4v,stepBy6));
00170         vmop.ops[1].first = (VecId)vel;
00171         vmop.ops[1].second.push_back(std::make_pair((VecId)vel,1.0));
00172         vmop.ops[1].second.push_back(std::make_pair((VecId)k1a,stepBy6));
00173         vmop.ops[1].second.push_back(std::make_pair((VecId)k2a,stepBy3));
00174         vmop.ops[1].second.push_back(std::make_pair((VecId)k3a,stepBy3));
00175         vmop.ops[1].second.push_back(std::make_pair((VecId)k4a,stepBy6));
00176         vmop.execute(this->getContext());
00177     }
00178 #endif
00179 }
00180 
00181 
00182 
00183 } // namespace odesolver
00184 
00185 } // namespace component
00186 
00187 } // namespace sofa
00188 

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