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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 "rigidbodyinertia.hpp" 00023 00024 #include <Eigen/Core> 00025 00026 using namespace Eigen; 00027 00028 namespace KDL{ 00029 00030 const static bool mhi=true; 00031 00032 RigidBodyInertia::RigidBodyInertia(double m_,const Vector& h_,const RotationalInertia& I_,bool mhi): 00033 m(m_),h(h_),I(I_) 00034 { 00035 } 00036 00037 RigidBodyInertia::RigidBodyInertia(double m_, const Vector& c_, const RotationalInertia& Ic): 00038 m(m_),h(m*c_){ 00039 //I=Ic-c x c x 00040 Vector3d c_eig=Map<const Vector3d>(c_.data); 00041 Map<Matrix3d>(I.data)=Map<const Matrix3d>(Ic.data)-m_*(c_eig*c_eig.transpose()-c_eig.dot(c_eig)*Matrix3d::Identity()); 00042 } 00043 00044 RigidBodyInertia operator*(double a,const RigidBodyInertia& I){ 00045 return RigidBodyInertia(a*I.m,a*I.h,a*I.I,mhi); 00046 } 00047 00048 RigidBodyInertia operator+(const RigidBodyInertia& Ia, const RigidBodyInertia& Ib){ 00049 return RigidBodyInertia(Ia.m+Ib.m,Ia.h+Ib.h,Ia.I+Ib.I,mhi); 00050 } 00051 00052 Wrench operator*(const RigidBodyInertia& I,const Twist& t){ 00053 return Wrench(I.m*t.vel-I.h*t.rot,I.I*t.rot+I.h*t.vel); 00054 } 00055 00056 RigidBodyInertia operator*(const Frame& T,const RigidBodyInertia& I){ 00057 Frame X=T.Inverse(); 00058 //mb=ma 00059 //hb=R*(h-m*r) 00060 //Ib = R(Ia+r x h x + (h-m*r) x r x)R' 00061 Vector hmr = (I.h-I.m*X.p); 00062 Vector3d r_eig = Map<Vector3d>(X.p.data); 00063 Vector3d h_eig = Map<const Vector3d>(I.h.data); 00064 Vector3d hmr_eig = Map<Vector3d>(hmr.data); 00065 Matrix3d rcrosshcross = h_eig *r_eig.transpose()-r_eig.dot(h_eig)*Matrix3d::Identity(); 00066 Matrix3d hmrcrossrcross = r_eig*hmr_eig.transpose()-hmr_eig.dot(r_eig)*Matrix3d::Identity(); 00067 Matrix3d R = Map<Matrix3d>(X.M.data); 00068 RotationalInertia Ib; 00069 Map<Matrix3d>(Ib.data) = R*((Map<const Matrix3d>(I.I.data)+rcrosshcross+hmrcrossrcross)*R.transpose()); 00070 00071 return RigidBodyInertia(I.m,T.M*hmr,Ib,mhi); 00072 } 00073 00074 RigidBodyInertia operator*(const Rotation& M,const RigidBodyInertia& I){ 00075 //mb=ma 00076 //hb=R*h 00077 //Ib = R(Ia)R' with r=0 00078 Matrix3d R = Map<const Matrix3d>(M.data); 00079 RotationalInertia Ib; 00080 Map<Matrix3d>(Ib.data) = R.transpose()*(Map<const Matrix3d>(I.I.data)*R); 00081 00082 return RigidBodyInertia(I.m,M*I.h,Ib,mhi); 00083 } 00084 00085 RigidBodyInertia RigidBodyInertia::RefPoint(const Vector& p){ 00086 //mb=ma 00087 //hb=(h-m*r) 00088 //Ib = (Ia+r x h x + (h-m*r) x r x) 00089 Vector hmr = (this->h-this->m*p); 00090 Vector3d r_eig = Map<const Vector3d>(p.data); 00091 Vector3d h_eig = Map<Vector3d>(this->h.data); 00092 Vector3d hmr_eig = Map<Vector3d>(hmr.data); 00093 Matrix3d rcrosshcross = h_eig * r_eig.transpose()-r_eig.dot(h_eig)*Matrix3d::Identity(); 00094 Matrix3d hmrcrossrcross = r_eig*hmr_eig.transpose()-hmr_eig.dot(r_eig)*Matrix3d::Identity(); 00095 RotationalInertia Ib; 00096 Map<Matrix3d>(Ib.data) = Map<Matrix3d>(this->I.data)+rcrosshcross+hmrcrossrcross; 00097 00098 return RigidBodyInertia(this->m,hmr,Ib,mhi); 00099 } 00100 }//namespace