force-dense.hpp

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//
// Copyright (c) 2017-2020 CNRS INRIA
//
 
#ifndef __pinocchio_spatial_force_dense_hpp__
#define __pinocchio_spatial_force_dense_hpp__
 
namespace pinocchio
{
 
  template<typename Derived>
  struct SE3GroupAction<ForceDense<Derived>>
  {
    typedef typename SE3GroupAction<Derived>::ReturnType ReturnType;
  };
 
  template<typename Derived, typename MotionDerived>
  struct MotionAlgebraAction<ForceDense<Derived>, MotionDerived>
  {
    typedef typename MotionAlgebraAction<Derived, MotionDerived>::ReturnType ReturnType;
  };
 
  template<typename Derived>
  class ForceDense : public ForceBase<Derived>
  {
  public:
    typedef ForceBase<Derived> Base;
    FORCE_TYPEDEF_TPL(Derived);
    typedef typename traits<Derived>::ForceRefType ForceRefType;
 
    using Base::angular;
    using Base::derived;
    using Base::isApprox;
    using Base::isZero;
    using Base::linear;
    using Base::operator=;
 
    Derived & setZero()
    {
      linear().setZero();
      angular().setZero();
      return derived();
    }
    Derived & setRandom()
    {
      linear().setRandom();
      angular().setRandom();
      return derived();
    }
 
    template<typename D2>
    bool isEqual_impl(const ForceDense<D2> & other) const
    {
      return linear() == other.linear() && angular() == other.angular();
    }
 
    template<typename D2>
    bool isEqual_impl(const ForceBase<D2> & other) const
    {
      return other.derived() == derived();
    }
 
    // Arithmetic operators
    template<typename D2>
    Derived & operator=(const ForceDense<D2> & other)
    {
      return derived().set(other.derived());
    }
 
    Derived & operator=(const ForceDense & other)
    {
      return derived().set(other.derived());
    }
 
    template<typename D2>
    Derived & set(const ForceDense<D2> & other)
    {
      linear() = other.linear();
      angular() = other.angular();
      return derived();
    }
 
    template<typename V6>
    Derived & operator=(const Eigen::MatrixBase<V6> & v)
    {
      EIGEN_STATIC_ASSERT_VECTOR_ONLY(V6);
      assert(v.size() == 6);
      linear() = v.template segment<3>(LINEAR);
      angular() = v.template segment<3>(ANGULAR);
      return derived();
    }
 
    ForcePlain operator-() const
    {
      return derived().__opposite__();
    }
    template<typename F1>
    ForcePlain operator+(const ForceDense<F1> & f) const
    {
      return derived().__plus__(f.derived());
    }
    template<typename F1>
    ForcePlain operator-(const ForceDense<F1> & f) const
    {
      return derived().__minus__(f.derived());
    }
 
    template<typename F1>
    Derived & operator+=(const ForceDense<F1> & f)
    {
      return derived().__pequ__(f.derived());
    }
    template<typename F1>
    Derived & operator+=(const ForceBase<F1> & f)
    {
      f.derived().addTo(derived());
      return derived();
    }
 
    template<typename M1>
    Derived & operator-=(const ForceDense<M1> & v)
    {
      return derived().__mequ__(v.derived());
    }
 
    ForcePlain __opposite__() const
    {
      return ForcePlain(-linear(), -angular());
    }
 
    template<typename M1>
    ForcePlain __plus__(const ForceDense<M1> & v) const
    {
      return ForcePlain(linear() + v.linear(), angular() + v.angular());
    }
 
    template<typename M1>
    ForcePlain __minus__(const ForceDense<M1> & v) const
    {
      return ForcePlain(linear() - v.linear(), angular() - v.angular());
    }
 
    template<typename M1>
    Derived & __pequ__(const ForceDense<M1> & v)
    {
      linear() += v.linear();
      angular() += v.angular();
      return derived();
    }
 
    template<typename M1>
    Derived & __mequ__(const ForceDense<M1> & v)
    {
      linear() -= v.linear();
      angular() -= v.angular();
      return derived();
    }
 
    template<typename OtherScalar>
    ForcePlain __mult__(const OtherScalar & alpha) const
    {
      return ForcePlain(alpha * linear(), alpha * angular());
    }
 
    template<typename OtherScalar>
    ForcePlain __div__(const OtherScalar & alpha) const
    {
      return derived().__mult__((OtherScalar)(1) / alpha);
    }
 
    template<typename F1>
    Scalar dot(const MotionDense<F1> & phi) const
    {
      return phi.linear().dot(linear()) + phi.angular().dot(angular());
    }
 
    template<typename M1, typename M2>
    void motionAction(const MotionDense<M1> & v, ForceDense<M2> & fout) const
    {
      fout.linear().noalias() = v.angular().cross(linear());
      fout.angular().noalias() = v.angular().cross(angular()) + v.linear().cross(linear());
    }
 
    template<typename M1>
    ForcePlain motionAction(const MotionDense<M1> & v) const
    {
      ForcePlain res;
      motionAction(v, res);
      return res;
    }
 
    template<typename M2>
    bool isApprox(
      const ForceDense<M2> & f,
      const Scalar & prec = Eigen::NumTraits<Scalar>::dummy_precision()) const
    {
      return derived().isApprox_impl(f, prec);
    }
 
    template<typename D2>
    bool isApprox_impl(
      const ForceDense<D2> & f,
      const Scalar & prec = Eigen::NumTraits<Scalar>::dummy_precision()) const
    {
      return linear().isApprox(f.linear(), prec) && angular().isApprox(f.angular(), prec);
    }
 
    bool isZero_impl(const Scalar & prec = Eigen::NumTraits<Scalar>::dummy_precision()) const
    {
      return linear().isZero(prec) && angular().isZero(prec);
    }
 
    template<typename S2, int O2, typename D2>
    void se3Action_impl(const SE3Tpl<S2, O2> & m, ForceDense<D2> & f) const
    {
      f.linear().noalias() = m.rotation() * linear();
      f.angular().noalias() = m.rotation() * angular();
      f.angular() += m.translation().cross(f.linear());
    }
 
    template<typename S2, int O2>
    ForcePlain se3Action_impl(const SE3Tpl<S2, O2> & m) const
    {
      ForcePlain res;
      se3Action_impl(m, res);
      return res;
    }
 
    template<typename S2, int O2, typename D2>
    void se3ActionInverse_impl(const SE3Tpl<S2, O2> & m, ForceDense<D2> & f) const
    {
      f.linear().noalias() = m.rotation().transpose() * linear();
      f.angular().noalias() =
        m.rotation().transpose() * (angular() - m.translation().cross(linear()));
    }
 
    template<typename S2, int O2>
    ForcePlain se3ActionInverse_impl(const SE3Tpl<S2, O2> & m) const
    {
      ForcePlain res;
      se3ActionInverse_impl(m, res);
      return res;
    }
 
    void disp_impl(std::ostream & os) const
    {
      os << "  f = " << linear().transpose() << std::endl
         << "tau = " << angular().transpose() << std::endl;
    }
 
    ForceRefType ref()
    {
      return derived().ref();
    }
 
  protected:
    ForceDense() {};
 
    ForceDense(const ForceDense &) = delete;
 
  }; // class ForceDense
 
  template<typename F1>
  typename traits<F1>::ForcePlain
  operator*(const typename traits<F1>::Scalar alpha, const ForceDense<F1> & f)
  {
    return f.derived() * alpha;
  }
 
} // namespace pinocchio
 
#endif // ifndef __pinocchio_spatial_force_dense_hpp__