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Diffstat (limited to 'intern/itasc/WDLSSolver.cpp')
-rw-r--r--intern/itasc/WDLSSolver.cpp101
1 files changed, 101 insertions, 0 deletions
diff --git a/intern/itasc/WDLSSolver.cpp b/intern/itasc/WDLSSolver.cpp
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+/* $Id$
+ * WDLSSolver.hpp.cpp
+ *
+ * Created on: Jan 8, 2009
+ * Author: rubensmits
+ */
+
+#include "WDLSSolver.hpp"
+#include "kdl/utilities/svd_eigen_HH.hpp"
+
+namespace iTaSC {
+
+WDLSSolver::WDLSSolver() : m_lambda(0.5), m_epsilon(0.1)
+{
+ // maximum joint velocity
+ m_qmax = 50.0;
+}
+
+WDLSSolver::~WDLSSolver() {
+}
+
+bool WDLSSolver::init(unsigned int nq, unsigned int nc, const std::vector<bool>& gc)
+{
+ m_ns = std::min(nc,nq);
+ m_AWq = e_zero_matrix(nc,nq);
+ m_WyAWq = e_zero_matrix(nc,nq);
+ m_WyAWqt = e_zero_matrix(nq,nc);
+ m_S = e_zero_vector(std::max(nc,nq));
+ m_Wy_ydot = e_zero_vector(nc);
+ if (nq > nc) {
+ m_transpose = true;
+ m_temp = e_zero_vector(nc);
+ m_U = e_zero_matrix(nc,nc);
+ m_V = e_zero_matrix(nq,nc);
+ m_WqV = e_zero_matrix(nq,nc);
+ } else {
+ m_transpose = false;
+ m_temp = e_zero_vector(nq);
+ m_U = e_zero_matrix(nc,nq);
+ m_V = e_zero_matrix(nq,nq);
+ m_WqV = e_zero_matrix(nq,nq);
+ }
+ return true;
+}
+
+bool WDLSSolver::solve(const e_matrix& A, const e_vector& Wy, const e_vector& ydot, const e_matrix& Wq, e_vector& qdot, e_scalar& nlcoef)
+{
+ double alpha, vmax, norm;
+ // Create the Weighted jacobian
+ m_AWq = A*Wq;
+ for (int i=0; i<Wy.size(); i++)
+ m_WyAWq.row(i) = Wy(i)*m_AWq.row(i);
+
+ // Compute the SVD of the weighted jacobian
+ int ret;
+ if (m_transpose) {
+ m_WyAWqt = m_WyAWq.transpose();
+ ret = KDL::svd_eigen_HH(m_WyAWqt,m_V,m_S,m_U,m_temp);
+ } else {
+ ret = KDL::svd_eigen_HH(m_WyAWq,m_U,m_S,m_V,m_temp);
+ }
+ if(ret<0)
+ return false;
+
+ m_WqV = (Wq*m_V).lazy();
+
+ //Wy*ydot
+ m_Wy_ydot = Wy.cwise() * ydot;
+ //S^-1*U'*Wy*ydot
+ e_scalar maxDeltaS = e_scalar(0.0);
+ e_scalar prevS = e_scalar(0.0);
+ e_scalar maxS = e_scalar(1.0);
+ e_scalar S, lambda;
+ qdot.setZero();
+ for(int i=0;i<m_ns;++i) {
+ S = m_S(i);
+ if (S <= KDL::epsilon)
+ break;
+ if (i > 0 && (prevS-S) > maxDeltaS) {
+ maxDeltaS = (prevS-S);
+ maxS = prevS;
+ }
+ lambda = (S < m_epsilon) ? (e_scalar(1.0)-KDL::sqr(S/m_epsilon))*m_lambda*m_lambda : e_scalar(0.0);
+ alpha = m_U.col(i).dot(m_Wy_ydot)*S/(S*S+lambda);
+ vmax = m_WqV.col(i).cwise().abs().maxCoeff();
+ norm = fabs(alpha*vmax);
+ if (norm > m_qmax) {
+ qdot += m_WqV.col(i)*(alpha*m_qmax/norm);
+ } else {
+ qdot += m_WqV.col(i)*alpha;
+ }
+ prevS = S;
+ }
+ if (maxDeltaS == e_scalar(0.0))
+ nlcoef = e_scalar(KDL::epsilon);
+ else
+ nlcoef = (maxS-maxDeltaS)/maxS;
+ return true;
+}
+
+}