MOAB: Mesh Oriented datABase  (version 5.2.1)
AWShapeOrientNB1.cpp
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00001 /* *****************************************************************
00002     MESQUITE -- The Mesh Quality Improvement Toolkit
00003 
00004     Copyright 2006 Sandia National Laboratories.  Developed at the
00005     University of Wisconsin--Madison under SNL contract number
00006     624796.  The U.S. Government and the University of Wisconsin
00007     retain certain rights to this software.
00008 
00009     This library is free software; you can redistribute it and/or
00010     modify it under the terms of the GNU Lesser General Public
00011     License as published by the Free Software Foundation; either
00012     version 2.1 of the License, or (at your option) any later version.
00013 
00014     This library is distributed in the hope that it will be useful,
00015     but WITHOUT ANY WARRANTY; without even the implied warranty of
00016     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00017     Lesser General Public License for more details.
00018 
00019     You should have received a copy of the GNU Lesser General Public License
00020     (lgpl.txt) along with this library; if not, write to the Free Software
00021     Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00022 
00023     (2010) kraftche@cae.wisc.edu
00024 
00025   ***************************************************************** */
00026 
00027 /** \file AWShapeOrientNB1.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "AWShapeOrientNB1.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "TMPDerivs.hpp"
00036 #include "TMPCommon.hpp"
00037 
00038 namespace MBMesquite
00039 {
00040 
00041 std::string AWShapeOrientNB1::get_name() const
00042 {
00043     return "AWShapeOrientNB1";
00044 }
00045 
00046 AWShapeOrientNB1::~AWShapeOrientNB1() {}
00047 
00048 template < unsigned DIM >
00049 static inline bool eval( const MsqMatrix< DIM, DIM >& A, const MsqMatrix< DIM, DIM >& W, double& result )
00050 {
00051     result = std::sqrt( sqr_Frobenius( A ) * sqr_Frobenius( W ) );
00052     result -= A % W;
00053     result *= result;
00054     return true;
00055 }
00056 
00057 template < unsigned DIM >
00058 static inline bool grad( const MsqMatrix< DIM, DIM >& A, const MsqMatrix< DIM, DIM >& W, double& result,
00059                          MsqMatrix< DIM, DIM >& deriv )
00060 {
00061     const double nsW = sqr_Frobenius( W );
00062     const double nsA = sqr_Frobenius( A );
00063     const double nW  = std::sqrt( nsW );
00064     const double nA  = std::sqrt( nsA );
00065     const double dot = A % W;
00066     result           = nA * nW - dot;
00067     result *= result;
00068 
00069     deriv = nA * W;
00070     double tmp;
00071     if( divide( dot, nA, tmp ) ) deriv += tmp * A;
00072     deriv *= -nW;
00073     deriv += nsW * A;
00074     deriv += dot * W;
00075     deriv *= 2.0;
00076     return true;
00077 }
00078 
00079 /*
00080 template <unsigned DIM> static inline
00081 bool hess( const MsqMatrix<DIM,DIM>& A,
00082            const MsqMatrix<DIM,DIM>& W,
00083            double& result,
00084            MsqMatrix<DIM,DIM>& deriv,
00085            MsqMatrix<DIM,DIM>* second )
00086 {
00087 }
00088 */
00089 
00090 TMP_AW_TEMPL_IMPL_COMMON_NO2ND( AWShapeOrientNB1 )
00091 
00092 }  // namespace MBMesquite
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