overview-lie.cpp

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#include <iostream>
#include "pinocchio/multibody/liegroup/liegroup.hpp"
 
using namespace pinocchio;
 
int main()
{
  typedef double Scalar;
  enum
  {
    Options = 0
  };
 
  typedef SpecialEuclideanOperationTpl<2, Scalar, Options> SE2Operation;
  SE2Operation aSE2;
  SE2Operation::ConfigVector_t pose_s, pose_g;
  SE2Operation::TangentVector_t delta_u;
  delta_u.setZero();
 
  // Starting configuration
  pose_s(0) = 1.0;
  pose_s(1) = 1.0;
  pose_s(2) = cos(M_PI / 4.0);
  pose_s(3) = sin(M_PI / 4.0);
 
  // Goal configuration
  pose_g(0) = 3.0;
  pose_g(1) = -1.0;
  pose_g(2) = cos(-M_PI / 2.0);
  pose_g(3) = sin(-M_PI / 2.0);
 
  // Computes the differences (expressed in the tangent space of the configuration space) between
  // the starting and the goal configuration
  aSE2.difference(pose_s, pose_g, delta_u);
  std::cout << "difference: " << delta_u.transpose() << std::endl;
 
  // Check that the composition of the starting configuration and the difference vector gives the
  // goal configuration
  SE2Operation::ConfigVector_t pose_check;
  aSE2.integrate(pose_s, delta_u, pose_check);
  std::cout << "goal configuration (from composition): " << pose_check.transpose() << std::endl;
  std::cout << "goal configuration: " << pose_g.transpose() << std::endl;
}