ROL_RangeSpaceOperator.hpp

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#ifndef ROL_RANGE_SPACE_OPERATOR_H
#define ROL_RANGE_SPACE_OPERATOR_H

#include "ROL_Constraint.hpp"
#include "ROL_PartitionedVector.hpp"
#include "ROL_Krylov.hpp"
#include "ROL_AugmentedSystemOperator.hpp"
#include "ROL_AugmentedSystemPrecOperator.hpp"

namespace ROL {

template <class Real>
class RangeSpaceOperator : public LinearOperator<Real> {
private:
  const Ptr<Constraint<Real>> con_;
  const bool useInexact_;

  Ptr<LinearOperator<Real>> augsys_, augsysprec_;
  Ptr<Krylov<Real>> krylov_;
  mutable int iterKrylov_;
  mutable int flagKrylov_;

  mutable Ptr<Vector<Real>> v1_;
  mutable Ptr<Vector<Real>> v2_;
  mutable Ptr<PartitionedVector<Real>> vv_;
  mutable Ptr<Vector<Real>> b1_;
  mutable Ptr<Vector<Real>> b2_;
  mutable Ptr<PartitionedVector<Real>> bb_;
  mutable Ptr<Vector<Real>> w1_;
  mutable Ptr<Vector<Real>> w2_;
  mutable Ptr<PartitionedVector<Real>> ww_;
  mutable Ptr<Vector<Real>> mul_;

  void solveAugmentedSystem(Vector<Real> &v,
                            Vector<Real> &b,
                            Real &tol,
                            bool refine = false) const {
    if( refine ) {
      // TODO: Make sure this tol is actually ok...
      Real origTol = tol;
      ww_->set(v);
      augsys_->apply(*vv_, *ww_, tol);
      tol = origTol;
      b.axpy( static_cast<Real>(-1), *vv_ );
    }
    vv_->zero();
    // If inexact, change tolerance
    if( useInexact_ ) {
      krylov_->resetAbsoluteTolerance(tol);
    }

    flagKrylov_ = 0;
    tol = krylov_->run(*vv_,*augsys_,b,*augsysprec_,iterKrylov_,flagKrylov_);

    if( refine ) {
      v.plus(*vv_);
    }
    else {
      v.set(*vv_);
    }
  }

public:
  virtual ~RangeSpaceOperator() {}
  RangeSpaceOperator(const Ptr<Constraint<Real>> &con,
                    const Ptr<Vector<Real>>     &dom,
                    const Ptr<Vector<Real>>     &ran)
    : con_(con), useInexact_(false) {
    iterKrylov_ = 0;
    flagKrylov_ = 0;

    ParameterList list;
    Real atol = static_cast<Real>(1e-12);
    Real rtol = static_cast<Real>(1e-2);
    list.sublist("General").sublist("Krylov").set("Type", "GMRES");
    list.sublist("General").sublist("Krylov").set("Absolute Tolerance", atol);
    list.sublist("General").sublist("Krylov").set("Relative Tolerance", rtol);
    list.sublist("General").sublist("Krylov").set("Iteration Limit", 200);
    krylov_ = KrylovFactory<Real>(list);

    augsys_ = makePtr<AugmentedSystemOperator<Real>>(con,dom);
    augsysprec_ = makePtr<AugmentedSystemPrecOperator<Real>>(con,dom);

    v1_ = dom->dual().clone();
    v2_ = ran->dual().clone();
    vv_ = makePtr<PartitionedVector<Real>>(std::vector<Ptr<Vector<Real>>>({v1_, v2_}));

    w1_ = dom->dual().clone();
    w2_ = ran->dual().clone();
    ww_ = makePtr<PartitionedVector<Real>>(std::vector<Ptr<Vector<Real>>>({w1_, w2_}));

    b1_ = dom->dual().clone();
    b2_ = ran->clone();
    bb_ = makePtr<PartitionedVector<Real>>(std::vector<Ptr<Vector<Real>>>({b1_, b2_}));

    mul_ = ran->dual().clone();
  }

  virtual void apply( Vector<Real> &Hv, const Vector<Real> &v, Real &tol ) const {
    b1_->zero(); b2_->set(v);
    Ptr<PartitionedVector<Real>> sol = makePtr<PartitionedVector<Real>>(std::vector<Ptr<Vector<Real>>>({makePtrFromRef(Hv),mul_}));
    solveAugmentedSystem(*sol,*bb_,tol);
  }

  void applyAdjoint( Vector<Real> &Hv, const Vector<Real> &v, Real &tol ) const {
    throw Exception::NotImplemented(">>> RangeSpaceOperator::applyAdjoint : Not Implemented!");
  }

  void applyInverse( Vector<Real> &Hv, const Vector<Real> &v, Real &tol ) const {
    throw Exception::NotImplemented(">>> RangeSpaceOperator::applyInverse : Not Implemented!");
  }

  void applyAdjointInverse( Vector<Real> &Hv, const Vector<Real> &v, Real &tol ) const {
    throw Exception::NotImplemented(">>> RangeSpaceOperator::applyAdjointInverse : Not Implemented!");
  }

}; // class RangeSpaceOperator

} // namespace ROL

#endif