MOAB: Mesh Oriented datABase  (version 5.2.1)
TShapeOrientNB2.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 TShapeOrientNB2.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "TShapeOrientNB2.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "TMPDerivs.hpp"
00036 #include "TMPCommon.hpp"
00037 
00038 namespace MBMesquite
00039 {
00040 
00041 std::string TShapeOrientNB2::get_name() const
00042 {
00043     return "TShapeOrientNB2";
00044 }
00045 
00046 TShapeOrientNB2::~TShapeOrientNB2() {}
00047 
00048 template < unsigned DIM >
00049 static inline bool eval( const MsqMatrix< DIM, DIM >& T, double& result )
00050 {
00051     const double tr = trace( T );
00052     result          = sqr_Frobenius( T ) - DimConst< DIM >::inv() * tr * fabs( tr );
00053     return true;
00054 }
00055 
00056 template < unsigned DIM >
00057 static inline bool grad( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv_wrt_T )
00058 {
00059     const double tr = trace( T );
00060     const double f  = DimConst< DIM >::inv() * fabs( tr );
00061     result          = sqr_Frobenius( T ) - f * tr;
00062     deriv_wrt_T     = T;
00063     pluseq_scaled_I( deriv_wrt_T, -f );
00064     deriv_wrt_T *= 2;
00065     return true;
00066 }
00067 
00068 template < unsigned DIM >
00069 static inline bool hess( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv_wrt_T,
00070                          MsqMatrix< DIM, DIM >* second_wrt_T )
00071 {
00072     const double tr = trace( T );
00073     const double f  = DimConst< DIM >::inv() * fabs( tr );
00074     result          = sqr_Frobenius( T ) - f * tr;
00075     deriv_wrt_T     = T;
00076     pluseq_scaled_I( deriv_wrt_T, -f );
00077     deriv_wrt_T *= 2;
00078     set_scaled_I( second_wrt_T, 2.0 );
00079     pluseq_scaled_outer_product_I_I( second_wrt_T, DimConst< DIM >::inv() * ( tr < 0 ? 2 : -2 ) );
00080     return true;
00081 }
00082 
00083 TMP_T_TEMPL_IMPL_COMMON( TShapeOrientNB2 )
00084 
00085 }  // namespace MBMesquite
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