force-set.hpp

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//
// Copyright (c) 2015 CNRS
//
 
#ifndef __pinocchio_spatial_force_set_hpp__
#define __pinocchio_spatial_force_set_hpp__
 
#include "pinocchio/spatial/fwd.hpp"
#include <Eigen/Geometry>
 
namespace pinocchio
{
  template<typename _Scalar, int _Options>
  class ForceSetTpl
  {
  public:
    typedef _Scalar Scalar;
    enum
    {
      Options = _Options
    };
    typedef Eigen::Matrix<Scalar, 3, 1, Options> Vector3;
    typedef Eigen::Matrix<Scalar, 3, 3, Options> Matrix3;
    typedef Eigen::Matrix<Scalar, 6, 1, Options> Vector6;
    typedef Eigen::Matrix<Scalar, 6, 6, Options> Matrix6;
    typedef SE3Tpl<Scalar, Options> SE3;
 
    typedef Eigen::Matrix<Scalar, 3, Eigen::Dynamic, Options> Matrix3x;
    typedef Eigen::Matrix<Scalar, 6, Eigen::Dynamic, Options> Matrix6x;
 
  public:
    // Constructors
    ForceSetTpl(const int & ncols)
    : size(ncols)
    , m_f(3, ncols)
    , m_n(3, ncols)
    {
      m_f.fill(NAN);
      m_n.fill(NAN);
    }
    ForceSetTpl(const Matrix3x & linear, const Matrix3x & angular)
    : size((int)linear.cols())
    , m_f(linear)
    , m_n(angular)
    {
      assert(linear.cols() == angular.cols());
    }
 
    Matrix6x matrix() const
    {
      Matrix6x F(6, size);
      F << m_f, m_n;
      // F.template topRows<3>() = m_f;
      // F.template bottomRows<3>()  = m_n;
      return F;
    }
    operator Matrix6x() const
    {
      return matrix();
    }
 
    // Getters
    const Matrix3x & linear() const
    {
      return m_f;
    }
    const Matrix3x & angular() const
    {
      return m_n;
    }
 
    ForceSetTpl se3Action(const SE3 & m) const
    {
      Matrix3x Rf(m.rotation() * linear());
      return ForceSetTpl(Rf, skew(m.translation()) * Rf + m.rotation() * angular());
      // TODO check if nothing better than explicitely calling skew
    }
    ForceSetTpl se3ActionInverse(const SE3 & m) const
    {
      return ForceSetTpl(
        m.rotation().transpose() * linear(),
        m.rotation().transpose() * (angular() - skew(m.translation()) * linear()));
      // TODO check if nothing better than explicitely calling skew
    }
 
    friend std::ostream & operator<<(std::ostream & os, const ForceSetTpl & phi)
    {
      os << "F =\n" << phi.linear() << std::endl << "Tau =\n" << phi.angular() << std::endl;
      return os;
    }
 
    /* --- BLOCK ------------------------------------------------------------ */
    struct Block
    {
      ForceSetTpl & ref;
      int idx, len;
      Block(ForceSetTpl & ref, const int & idx, const int & len)
      : ref(ref)
      , idx(idx)
      , len(len)
      {
      }
 
      Eigen::Block<ForceSetTpl::Matrix3x> linear()
      {
        return ref.m_f.block(0, idx, 3, len);
      }
      Eigen::Block<ForceSetTpl::Matrix3x> angular()
      {
        return ref.m_n.block(0, idx, 3, len);
      }
      Eigen::Block<const ForceSetTpl::Matrix3x> linear() const
      {
        return ((const ForceSetTpl::Matrix3x &)(ref.m_f)).block(0, idx, 3, len);
      }
      Eigen::Block<const ForceSetTpl::Matrix3x> angular() const
      {
        return ((const ForceSetTpl::Matrix3x &)(ref.m_n)).block(0, idx, 3, len);
      }
 
      ForceSetTpl::Matrix6x matrix() const
      {
        ForceSetTpl::Matrix6x res(6, len);
        res << linear(), angular();
        return res;
      }
 
      Block & operator=(const ForceSetTpl & copy)
      {
        assert(copy.size == len);
        linear() = copy.linear();   // ref.m_f.block(0,idx,3,len) = copy.m_f;
        angular() = copy.angular(); // ref.m_n.block(0,idx,3,len) = copy.m_n;
        return *this;
      }
 
      Block & operator=(const ForceSetTpl::Block & copy)
      {
        assert(copy.len == len);
        linear() =
          copy.linear(); // ref.m_f.block(0,idx,3,len) = copy.ref.m_f.block(0,copy.idx,3,copy.len);
        angular() =
          copy.angular(); // ref.m_n.block(0,idx,3,len) = copy.ref.m_n.block(0,copy.idx,3,copy.len);
        return *this;
      }
 
      template<typename D>
      Block & operator=(const Eigen::MatrixBase<D> & m)
      {
        eigen_assert(D::RowsAtCompileTime == 6);
        assert(m.cols() == len);
        linear() = m.template topRows<3>();
        angular() = m.template bottomRows<3>();
        return *this;
      }
 
      ForceSetTpl se3Action(const SE3 & m) const
      {
        // const Eigen::Block<const Matrix3x> linear = ref.linear().block(0,idx,3,len);
        // const Eigen::Block<const Matrix3x> angular = ref.angular().block(0,idx,3,len);
        Matrix3x Rf((m.rotation() * linear()));
        return ForceSetTpl(Rf, skew(m.translation()) * Rf + m.rotation() * angular());
        // TODO check if nothing better than explicitely calling skew
      }
      ForceSetTpl se3ActionInverse(const SE3 & m) const
      {
        // const Eigen::Block<const Matrix3x> linear = ref.linear().block(0,idx,3,len);
        // const Eigen::Block<const Matrix3x> angular = ref.angular().block(0,idx,3,len);
        return ForceSetTpl(
          m.rotation().transpose() * linear(),
          m.rotation().transpose() * (angular() - skew(m.translation()) * linear()));
        // TODO check if nothing better than explicitely calling skew
      }
    };
 
    Block block(const int & idx, const int & len)
    {
      return Block(*this, idx, len);
    }
 
    /* CRBA joint operators
     *   - ForceSet::Block = ForceSet
     *   - ForceSet operator* (Inertia Y,Constraint S)
     *   - MatrixBase operator* (Constraint::Transpose S, ForceSet::Block)
     *   - SE3::act(ForceSet::Block)
     */
 
  public: //
  private:
    int size;
    Matrix3x m_f, m_n;
  };
 
  typedef ForceSetTpl<context::Scalar, context::Options> ForceSet;
 
  template<>
  struct SE3GroupAction<ForceSet::Block>
  {
    typedef ForceSet ReturnType;
  };
 
} // namespace pinocchio
 
#endif // ifndef __pinocchio_spatial_force_set_hpp__