vector-space.hpp

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//
// Copyright (c) 2016-2020 CNRS INRIA
//

#ifndef __pinocchio_multibody_liegroup_vector_space_operation_hpp__
#define __pinocchio_multibody_liegroup_vector_space_operation_hpp__

#include "pinocchio/multibody/liegroup/liegroup-base.hpp"

#include <stdexcept>
#include <boost/integer/static_min_max.hpp>

namespace pinocchio
{
  template<int Dim, typename Scalar, int Options = 0> struct VectorSpaceOperationTpl;
  
  template<int Dim, typename _Scalar, int _Options>
  struct traits< VectorSpaceOperationTpl<Dim,_Scalar,_Options> >
  {
    typedef _Scalar Scalar;
    enum {
      Options = _Options,
      NQ = Dim,
      NV = Dim
    };
  };

  template<int Dim, typename _Scalar, int _Options>
  struct VectorSpaceOperationTpl
  : public LieGroupBase< VectorSpaceOperationTpl<Dim,_Scalar,_Options> >
  {
    PINOCCHIO_LIE_GROUP_TPL_PUBLIC_INTERFACE(VectorSpaceOperationTpl);

    VectorSpaceOperationTpl(int size = boost::static_signed_max<0,Dim>::value)
    : size_(size)
    {
      assert(size_.value() >= 0);
    }

    VectorSpaceOperationTpl(const VectorSpaceOperationTpl & other)
    : Base(), size_(other.size_.value())
    {
      assert(size_.value() >= 0);
    }

    Index nq () const
    {
      return size_.value();
    }
    Index nv () const
    {
      return size_.value();
    }

    ConfigVector_t neutral () const
    {
      return ConfigVector_t::Zero(size_.value());
    }

    std::string name () const
    {
      std::ostringstream oss; oss << "R^" << nq();
      return oss.str ();
    }

    template <class ConfigL_t, class ConfigR_t, class Tangent_t>
    static void difference_impl(const Eigen::MatrixBase<ConfigL_t> & q0,
                                const Eigen::MatrixBase<ConfigR_t> & q1,
                                const Eigen::MatrixBase<Tangent_t> & d)
    {
      PINOCCHIO_EIGEN_CONST_CAST(Tangent_t,d) = q1 - q0;
    }

    template <ArgumentPosition arg, class ConfigL_t, class ConfigR_t, class JacobianOut_t>
    void dDifference_impl (const Eigen::MatrixBase<ConfigL_t> &,
                           const Eigen::MatrixBase<ConfigR_t> &,
                           const Eigen::MatrixBase<JacobianOut_t> & J) const
    {
      if (arg == ARG0)
        PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,J) = -JacobianMatrix_t::Identity(size_.value(),size_.value());
      else if (arg == ARG1)
        PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,J).setIdentity();
    }

    template <ArgumentPosition arg, class ConfigL_t, class ConfigR_t, class JacobianIn_t, class JacobianOut_t>
    void dDifference_product_impl(const ConfigL_t &,
                                  const ConfigR_t &,
                                  const JacobianIn_t & Jin,
                                  JacobianOut_t & Jout,
                                  bool,
                                  const AssignmentOperatorType op) const
    {
      switch (op) {
        case SETTO:
          if (arg == ARG0) Jout = - Jin;
          else             Jout =   Jin;
          return;
        case ADDTO:
          if (arg == ARG0) Jout -= Jin;
          else             Jout += Jin;
          return;
        case RMTO:
          if (arg == ARG0) Jout += Jin;
          else             Jout -= Jin;
          return;
      }
    }

    template <class ConfigIn_t, class Velocity_t, class ConfigOut_t>
    static void integrate_impl(const Eigen::MatrixBase<ConfigIn_t> & q,
                               const Eigen::MatrixBase<Velocity_t> & v,
                               const Eigen::MatrixBase<ConfigOut_t> & qout)
    {
      PINOCCHIO_EIGEN_CONST_CAST(ConfigOut_t,qout) = q + v;
    }

    template <class Config_t, class Jacobian_t>
    static void integrateCoeffWiseJacobian_impl(const Eigen::MatrixBase<Config_t> &,
                                                const Eigen::MatrixBase<Jacobian_t> & J)
    {
      PINOCCHIO_EIGEN_CONST_CAST(Jacobian_t,J).setIdentity();
    }

    template <class Config_t, class Tangent_t, class JacobianOut_t>
    static void dIntegrate_dq_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                   const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                   const Eigen::MatrixBase<JacobianOut_t> & J,
                                   const AssignmentOperatorType op=SETTO)
    {
      Eigen::MatrixBase<JacobianOut_t>& Jout = PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,J);
      switch(op)
        {
        case SETTO:
          Jout.setIdentity();
          break;
        case ADDTO:
          Jout.diagonal().array() += Scalar(1);
          break;
        case RMTO:
          Jout.diagonal().array() -= Scalar(1);
          break;
        default:
          assert(false && "Wrong Op requesed value");
          break;
        }
    }

    template <class Config_t, class Tangent_t, class JacobianOut_t>
    static void dIntegrate_dv_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                   const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                   const Eigen::MatrixBase<JacobianOut_t> & J,
                                   const AssignmentOperatorType op=SETTO)
    {
      Eigen::MatrixBase<JacobianOut_t>& Jout = PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,J);
      switch(op)
        {
        case SETTO:
          Jout.setIdentity();
          break;
        case ADDTO:
          Jout.diagonal().array() += Scalar(1);
          break;
        case RMTO:
          Jout.diagonal().array() -= Scalar(1);
          break;
        default:
          assert(false && "Wrong Op requesed value");
          break;
        }
    }

    template <class Config_t, class Tangent_t, class JacobianIn_t, class JacobianOut_t>
    void dIntegrate_product_impl(const Config_t &,
                                 const Tangent_t &,
                                 const JacobianIn_t & Jin,
                                 JacobianOut_t & Jout,
                                 bool,
                                 const ArgumentPosition,
                                 const AssignmentOperatorType op) const
    {
      switch(op) {
        case SETTO:
          Jout = Jin;
          break;
        case ADDTO:
          Jout += Jin;
          break;
        case RMTO:
          Jout -= Jin;
          break;
        default:
          assert(false && "Wrong Op requesed value");
          break;
      }
    }

    template <class Config_t, class Tangent_t, class JacobianIn_t, class JacobianOut_t>
    void dIntegrateTransport_dq_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                     const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                     const Eigen::MatrixBase<JacobianIn_t> & Jin,
                                     const Eigen::MatrixBase<JacobianOut_t> & Jout) const
    {
      PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,Jout) = Jin;
    }

    template <class Config_t, class Tangent_t, class JacobianIn_t, class JacobianOut_t>
    void dIntegrateTransport_dv_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                     const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                     const Eigen::MatrixBase<JacobianIn_t> & Jin,
                                     const Eigen::MatrixBase<JacobianOut_t> & Jout) const
    {
      PINOCCHIO_EIGEN_CONST_CAST(JacobianOut_t,Jout) = Jin;
    }

    template <class Config_t, class Tangent_t, class Jacobian_t>
    void dIntegrateTransport_dq_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                     const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                     const Eigen::MatrixBase<Jacobian_t> & /*J*/) const {}

    template <class Config_t, class Tangent_t, class Jacobian_t>
    void dIntegrateTransport_dv_impl(const Eigen::MatrixBase<Config_t > & /*q*/,
                                     const Eigen::MatrixBase<Tangent_t> & /*v*/,
                                     const Eigen::MatrixBase<Jacobian_t> & /*J*/) const {}



    // template <class ConfigL_t, class ConfigR_t>
    // static double squaredDistance_impl(const Eigen::MatrixBase<ConfigL_t> & q0,
                                       // const Eigen::MatrixBase<ConfigR_t> & q1)

    template <class Config_t>
    static void normalize_impl (const Eigen::MatrixBase<Config_t>& /*qout*/)
    {}

    template <class Config_t>
    static bool isNormalized_impl (const Eigen::MatrixBase<Config_t>& /*qout*/, const Scalar& /*prec*/)
    {
      return true;
    }

    template <class Config_t>
    void random_impl (const Eigen::MatrixBase<Config_t>& qout) const
    {
      PINOCCHIO_EIGEN_CONST_CAST(Config_t,qout).setRandom();
    }

    template <class ConfigL_t, class ConfigR_t, class ConfigOut_t>
    void randomConfiguration_impl
    (const Eigen::MatrixBase<ConfigL_t> & lower_pos_limit,
     const Eigen::MatrixBase<ConfigR_t> & upper_pos_limit,
     const Eigen::MatrixBase<ConfigOut_t> & qout) const
    {
      ConfigOut_t & res = PINOCCHIO_EIGEN_CONST_CAST(ConfigOut_t,qout).derived();
      for (int i = 0; i < nq (); ++i)
      {
        if(lower_pos_limit[i] == -std::numeric_limits<typename ConfigL_t::Scalar>::infinity() ||
           upper_pos_limit[i] ==  std::numeric_limits<typename ConfigR_t::Scalar>::infinity() )
        {
          std::ostringstream error;
          error << "non bounded limit. Cannot uniformly sample joint at rank " << i;
          // assert(false && "non bounded limit. Cannot uniformly sample joint revolute");
          throw std::range_error(error.str());
        }
        res[i] = lower_pos_limit[i] + (( upper_pos_limit[i] - lower_pos_limit[i]) * rand())/RAND_MAX;
      }
    }

    bool isEqual_impl (const VectorSpaceOperationTpl& other) const
    {
      return size_.value() == other.size_.value();
    }
    
  private:
    
    Eigen::internal::variable_if_dynamic<Index, Dim> size_;
  }; // struct VectorSpaceOperationTpl

} // namespace pinocchio

#endif // ifndef __pinocchio_multibody_liegroup_vector_space_operation_hpp__