example_01a.hpp

Go to the documentation of this file.

// @HEADER
// ************************************************************************
//
//               Rapid Optimization Library (ROL) Package
//                 Copyright (2014) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact lead developers:
//              Drew Kouri   (dpkouri@sandia.gov) and
//              Denis Ridzal (dridzal@sandia.gov)
//
// ************************************************************************
// @HEADER
 
#include "ROL_StdVector.hpp"
 
using namespace ROL;
 
template<class Real>
class Zakharov {
 
    public:
 
        template<class ScalarT>
        ScalarT value(const Vector<ScalarT> &x, Real &tol );
 
};
 
 
 
template<class Real>
template<class ScalarT>
ScalarT Zakharov<Real>::value(const Vector<ScalarT>& x, Real &tol) {
 
      
 
    ROL::Ptr<const std::vector<ScalarT> > xp = (dynamic_cast<const StdVector<ScalarT>&>(x)).getVector();
 
    int n = xp->size();
 
    ScalarT xdotx = 0;
    ScalarT kdotx = 0;
    ScalarT J = 0;
   
    // Compute dot products 
    for(int i=0; i<n; ++i) {
        xdotx += pow((*xp)[i],2);       // (k,x)
        kdotx += Real(i+1)*(*xp)[i];  // (x,x)
    }
 
    // Sum terms in objective function
    J = xdotx + pow(kdotx,2)/4.0 + pow(kdotx,4)/16.0;
    
    return J;
}