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GlobiPack_TestLagrPolyMeritFunc1D_def.hpp
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00043 
00044 #ifndef GLOBIPACK_TEST_LAGR_POLY_MERIT_FUNC_1D_DEF_HPP
00045 #define GLOBIPACK_TEST_LAGR_POLY_MERIT_FUNC_1D_DEF_HPP
00046 
00047 
00048 #include "GlobiPack_TestLagrPolyMeritFunc1D_decl.hpp"
00049 #include "Teuchos_ScalarTraits.hpp"
00050 #include "Teuchos_Assert.hpp"
00051 
00052 
00053 namespace GlobiPack {
00054 
00055 
00056 template<typename Scalar>
00057 TestLagrPolyMeritFunc1D<Scalar>::TestLagrPolyMeritFunc1D(
00058   const ArrayView<const Scalar> &alpha,
00059   const ArrayView<const Scalar> &phi
00060   )
00061   : alpha_(alpha), phi_(phi)
00062 {
00063   TEUCHOS_ASSERT_EQUALITY(alpha.size(), phi.size());
00064 }
00065 
00066 
00067 // Overridden from MeritFunc1DBase
00068 
00069   
00070 template<typename Scalar>
00071 bool TestLagrPolyMeritFunc1D<Scalar>::supportsDerivEvals() const
00072 {
00073   return true;
00074 }
00075 
00076 
00077 template<typename Scalar>
00078 void TestLagrPolyMeritFunc1D<Scalar>::eval(
00079   const Scalar &alpha, const Ptr<Scalar> &phi_out,
00080   const Ptr<Scalar> &Dphi_out
00081   ) const
00082 {
00083 
00084   typedef Teuchos::ScalarTraits<Scalar> ST;
00085 
00086   const int n = alpha_.size();
00087 
00088   Scalar phi = ST::zero();
00089   Scalar Dphi = ST::zero();
00090 
00091   for (int k = 0; k < n; ++k) {
00092 
00093     if (!is_null(phi_out)) {
00094 
00095       Scalar Lp_k = ST::one();
00096       for (int i = 0; i < n; ++i) {
00097         if (i!=k) {
00098           Lp_k *= (alpha-alpha_[i])/(alpha_[k]-alpha_[i]);
00099         }
00100       }
00101       
00102       phi += phi_[k] * Lp_k;
00103 
00104     }
00105 
00106     if (!is_null(Dphi_out)) {
00107 
00108       Scalar DLp_k = ST::zero();
00109       for (int j = 0; j < n; ++j) {
00110         if (j!=k) {
00111           Scalar DLp_k_j_prod = ST::one();
00112           for (int i = 0; i < n; ++i) {
00113             if (i!=k && i!=j) {
00114               DLp_k_j_prod *= (alpha-alpha_[i])/(alpha_[k]-alpha_[i]);
00115             }
00116           }
00117           DLp_k += DLp_k_j_prod / (alpha_[k]-alpha_[j]);
00118         }
00119       }
00120     
00121       Dphi += phi_[k] * DLp_k;
00122 
00123     }
00124 
00125   }
00126   
00127   if (!is_null(phi_out)) {
00128     *phi_out = phi;
00129   }
00130   
00131   if (!is_null(Dphi_out)) {
00132     *Dphi_out = Dphi;
00133   }
00134 
00135 }
00136 
00137 
00138 } // namespace GlobiPack
00139 
00140 
00141 #endif // GLOBIPACK_TEST_LAGR_POLY_MERIT_FUNC_1D_DEF_HPP
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