vector-space.hpp

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#pragma once
 
#include "proxsuite-nlp/manifold-base.hpp"
 
#include <type_traits>
 
namespace proxsuite {
namespace nlp {
 
template <typename _Scalar, int _Dim, int _Options>
struct VectorSpaceTpl : public ManifoldAbstractTpl<_Scalar, _Options> {
  using Scalar = _Scalar;
  enum { Dim = _Dim, Options = _Options };
  using Base = ManifoldAbstractTpl<Scalar, Options>;
  PROXSUITE_NLP_DYNAMIC_TYPEDEFS(Scalar);
 
  int dim_;
 
  template <int N = Dim,
            typename = typename std::enable_if_t<N == Eigen::Dynamic>>
  VectorSpaceTpl(const int dim) : dim_(dim) {}
 
  template <int N = Dim,
            typename = typename std::enable_if_t<N != Eigen::Dynamic>>
  VectorSpaceTpl() : dim_(Dim) {}
 
  inline int nx() const { return dim_; }
  inline int ndx() const { return dim_; }
 
 
  /* Integrate */
 
  void integrate_impl(const ConstVectorRef &x, const ConstVectorRef &v,
                      VectorRef out) const {
    out = x + v;
  }
 
  void Jintegrate_impl(const ConstVectorRef &, const ConstVectorRef &,
                       MatrixRef Jout, int) const {
    Jout.setIdentity();
  }
 
  void JintegrateTransport(const ConstVectorRef &, const ConstVectorRef &,
                           MatrixRef, int) const {}
 
  /* Difference */
 
  void difference_impl(const ConstVectorRef &x0, const ConstVectorRef &x1,
                       VectorRef out) const {
    out = x1 - x0;
  }
 
  void Jdifference_impl(const ConstVectorRef &, const ConstVectorRef &,
                        MatrixRef Jout, int arg) const {
    switch (arg) {
    case 0:
      Jout = -MatrixXs::Identity(ndx(), ndx());
      break;
    case 1:
      Jout.setIdentity();
      break;
    default:
      throw std::runtime_error("Wrong arg value.");
    }
  }
 
  void interpolate_impl(const ConstVectorRef &x0, const ConstVectorRef &x1,
                        const Scalar &u, VectorRef out) const {
    out = u * x1 + (static_cast<Scalar>(1.) - u) * x0;
  }
};
 
} // namespace nlp
} // namespace proxsuite