ROL_ScalarLinearConstraint.hpp

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#ifndef ROL_AFFINE_HYPERPLANE_EQUALITY_CONSTRAINT_H
#define ROL_AFFINE_HYPERPLANE_EQUALITY_CONSTRAINT_H

#include "ROL_Vector.hpp"
#include "ROL_SingletonVector.hpp"
#include "ROL_Constraint.hpp"

#include <vector>
namespace ROL {

template <class Real>
class ScalarLinearConstraint : public Constraint<Real> {
private:
  const Ptr<Vector<Real>> a_; 
  const Real b_;              

public:
  ScalarLinearConstraint(const Ptr<Vector<Real>> &a,
                         const Real b)
    : a_(a), b_(b) {}

  void value(Vector<Real> &c, const Vector<Real> &x, Real &tol) {
    SingletonVector<Real> &cc = dynamic_cast<SingletonVector<Real>&>(c);
    cc.setValue(a_->dot(x.dual()) - b_);
  }

  void applyJacobian(Vector<Real> &jv, const Vector<Real> &v,
               const Vector<Real> &x,  Real &tol) {
    SingletonVector<Real> &jc = dynamic_cast<SingletonVector<Real>&>(jv);
    jc.setValue(a_->dot(v.dual()));
  }

  void applyAdjointJacobian(Vector<Real> &ajv, const Vector<Real> &v,
                      const Vector<Real> &x,   Real &tol) {
    const SingletonVector<Real>&    vc = dynamic_cast<const SingletonVector<Real>&>(v);
    ajv.set(*a_);
    ajv.scale(vc.getValue());
  }

  void applyAdjointHessian(Vector<Real> &ahuv, const Vector<Real> &u,
                     const Vector<Real> &v,    const Vector<Real> &x,
                           Real &tol) {
    ahuv.zero();
  }

  std::vector<Real> solveAugmentedSystem(Vector<Real> &v1, Vector<Real> &v2,
                                   const Vector<Real> &b1, const Vector<Real> &b2,
                                   const Vector<Real> &x,  Real &tol) {
    SingletonVector<Real>&    v2c = dynamic_cast<SingletonVector<Real>&>(v2);
    const SingletonVector<Real>&    b2c = dynamic_cast<const SingletonVector<Real>&>(b2);

    v2c.setValue( (a_->dot(b1.dual()) - b2c.getValue() )/a_->dot(*a_) );
    v1.set(b1.dual());
    v1.axpy(-v2c.getValue(),a_->dual());

    std::vector<Real> out;
    return out;
  }

}; // class ScalarLinearConstraint

} // namespace ROL

#endif