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00001 // Copyright (C) 2007 Ruben Smits <ruben dot smits at mech dot kuleuven dot be> 00002 00003 // Version: 1.0 00004 // Author: Ruben Smits <ruben dot smits at mech dot kuleuven dot be> 00005 // Maintainer: Ruben Smits <ruben dot smits at mech dot kuleuven dot be> 00006 // URL: http://www.orocos.org/kdl 00007 00008 // This library is free software; you can redistribute it and/or 00009 // modify it under the terms of the GNU Lesser General Public 00010 // License as published by the Free Software Foundation; either 00011 // version 2.1 of the License, or (at your option) any later version. 00012 00013 // This library is distributed in the hope that it will be useful, 00014 // but WITHOUT ANY WARRANTY; without even the implied warranty of 00015 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00016 // Lesser General Public License for more details. 00017 00018 // You should have received a copy of the GNU Lesser General Public 00019 // License along with this library; if not, write to the Free Software 00020 // Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA 00021 00022 #include "chainiksolvervel_pinv_nso.hpp" 00023 00024 namespace KDL 00025 { 00026 ChainIkSolverVel_pinv_nso::ChainIkSolverVel_pinv_nso(const Chain& _chain, JntArray _opt_pos, JntArray _weights, double _eps, int _maxiter, int _alpha): 00027 chain(_chain), 00028 jnt2jac(chain), 00029 jac(chain.getNrOfJoints()), 00030 svd(jac), 00031 U(6,JntArray(chain.getNrOfJoints())), 00032 S(chain.getNrOfJoints()), 00033 V(chain.getNrOfJoints(),JntArray(chain.getNrOfJoints())), 00034 tmp(chain.getNrOfJoints()), 00035 tmp2(chain.getNrOfJoints()-6), 00036 eps(_eps), 00037 maxiter(_maxiter), 00038 alpha(_alpha), 00039 opt_pos(_opt_pos), 00040 weights(_weights) 00041 { 00042 } 00043 00044 ChainIkSolverVel_pinv_nso::ChainIkSolverVel_pinv_nso(const Chain& _chain, double _eps, int _maxiter, int _alpha): 00045 chain(_chain), 00046 jnt2jac(chain), 00047 jac(chain.getNrOfJoints()), 00048 svd(jac), 00049 U(6,JntArray(chain.getNrOfJoints())), 00050 S(chain.getNrOfJoints()), 00051 V(chain.getNrOfJoints(),JntArray(chain.getNrOfJoints())), 00052 tmp(chain.getNrOfJoints()), 00053 tmp2(chain.getNrOfJoints()-6), 00054 eps(_eps), 00055 maxiter(_maxiter), 00056 alpha(_alpha) 00057 { 00058 } 00059 00060 ChainIkSolverVel_pinv_nso::~ChainIkSolverVel_pinv_nso() 00061 { 00062 } 00063 00064 00065 int ChainIkSolverVel_pinv_nso::CartToJnt(const JntArray& q_in, const Twist& v_in, JntArray& qdot_out) 00066 { 00067 //Let the ChainJntToJacSolver calculate the jacobian "jac" for 00068 //the current joint positions "q_in" 00069 jnt2jac.JntToJac(q_in,jac); 00070 00071 //Do a singular value decomposition of "jac" with maximum 00072 //iterations "maxiter", put the results in "U", "S" and "V" 00073 //jac = U*S*Vt 00074 int ret = svd.calculate(jac,U,S,V,maxiter); 00075 00076 double sum; 00077 unsigned int i,j; 00078 00079 // We have to calculate qdot_out = jac_pinv*v_in 00080 // Using the svd decomposition this becomes(jac_pinv=V*S_pinv*Ut): 00081 // qdot_out = V*S_pinv*Ut*v_in 00082 00083 //first we calculate Ut*v_in 00084 for (i=0;i<jac.columns();i++) { 00085 sum = 0.0; 00086 for (j=0;j<jac.rows();j++) { 00087 sum+= U[j](i)*v_in(j); 00088 } 00089 //If the singular value is too small (<eps), don't invert it but 00090 //set the inverted singular value to zero (truncated svd) 00091 tmp(i) = sum*(fabs(S(i))<eps?0.0:1.0/S(i)); 00092 } 00093 //tmp is now: tmp=S_pinv*Ut*v_in, we still have to premultiply 00094 //it with V to get qdot_out 00095 for (i=0;i<jac.columns();i++) { 00096 sum = 0.0; 00097 for (j=0;j<jac.columns();j++) { 00098 sum+=V[i](j)*tmp(j); 00099 } 00100 //Put the result in qdot_out 00101 qdot_out(i)=sum; 00102 } 00103 00104 //Now onto NULL space 00105 00106 for(i = 0; i < jac.columns(); i++) 00107 tmp(i) = weights(i)*(opt_pos(i) - q_in(i)); 00108 00109 //Vtn*tmp 00110 for (i=jac.rows()+1;i<jac.columns();i++) { 00111 tmp2(i-(jac.rows()+1)) = 0.0; 00112 for (j=0;j<jac.columns();j++) { 00113 tmp2(i-(jac.rows()+1)) +=V[j](i)*tmp(j); 00114 } 00115 } 00116 00117 for (i=0;i<jac.columns();i++) { 00118 sum = 0.0; 00119 for (j=jac.rows()+1;j<jac.columns();j++) { 00120 sum +=V[i](j)*tmp2(j); 00121 } 00122 qdot_out(i) += alpha*sum; 00123 } 00124 00125 //return the return value of the svd decomposition 00126 return ret; 00127 } 00128 00129 int ChainIkSolverVel_pinv_nso::setWeights(const JntArray & _weights) 00130 { 00131 weights = _weights; 00132 return 0; 00133 } 00134 int ChainIkSolverVel_pinv_nso::setOptPos(const JntArray & _opt_pos) 00135 { 00136 opt_pos = _opt_pos; 00137 return 0; 00138 } 00139 int ChainIkSolverVel_pinv_nso::setAlpha(const int _alpha) 00140 { 00141 alpha = _alpha; 00142 return 0; 00143 } 00144 00145 00146 }