MOAB: Mesh Oriented datABase  (version 5.2.1)
TShapeOrientNB1.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     (2006) kraftche@cae.wisc.edu
00024 
00025   ***************************************************************** */
00026 
00027 /** \file TShapeOrientNB1.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "TShapeOrientNB1.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "TMPDerivs.hpp"
00036 #include "TMPCommon.hpp"
00037 
00038 namespace MBMesquite
00039 {
00040 
00041 std::string TShapeOrientNB1::get_name() const
00042 {
00043     return "TShapeOrientNB1";
00044 }
00045 
00046 TShapeOrientNB1::~TShapeOrientNB1() {}
00047 
00048 template < unsigned DIM >
00049 static inline bool eval( const MsqMatrix< DIM, DIM >& T, double& result )
00050 {
00051     result = Frobenius( T ) - trace( T ) / DimConst< DIM >::sqrt();
00052     return true;
00053 }
00054 
00055 template < unsigned DIM >
00056 static inline bool grad( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv )
00057 {
00058     const double norm    = Frobenius( T );
00059     const double invroot = 1.0 / DimConst< DIM >::sqrt();
00060     result               = norm - invroot * trace( T );
00061 
00062     if( norm < 1e-50 )
00063     {
00064         deriv = MsqMatrix< DIM, DIM >( 0.0 );
00065         return true;
00066     }
00067 
00068     deriv = 1.0 / norm * T;
00069     pluseq_scaled_I( deriv, -invroot );
00070     return true;
00071 }
00072 
00073 template < unsigned DIM >
00074 static inline bool hess( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv,
00075                          MsqMatrix< DIM, DIM >* second )
00076 {
00077     const double norm    = Frobenius( T );
00078     const double invroot = 1.0 / DimConst< DIM >::sqrt();
00079     result               = norm - invroot * trace( T );
00080 
00081     if( norm < 1e-50 )
00082     {
00083         deriv = MsqMatrix< DIM, DIM >( 0.0 );
00084         set_scaled_I( second, 1.0 );
00085         return true;
00086     }
00087 
00088     const double invnorm = 1.0 / norm;
00089     deriv                = invnorm * T;
00090     pluseq_scaled_I( deriv, -invroot );
00091 
00092     set_scaled_outer_product( second, -invnorm * invnorm * invnorm, T );
00093     pluseq_scaled_I( second, invnorm );
00094     return true;
00095 }
00096 
00097 TMP_T_TEMPL_IMPL_COMMON( TShapeOrientNB1 )
00098 
00099 }  // namespace MBMesquite
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