MOAB: Mesh Oriented datABase  (version 5.2.1)
AWShape2DNB1.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 AWShape2DNB1.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "AWShape2DNB1.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "TMPDerivs.hpp"
00036 
00037 namespace MBMesquite
00038 {
00039 
00040 std::string AWShape2DNB1::get_name() const
00041 {
00042     return "AWShape2DNB1";
00043 }
00044 
00045 AWShape2DNB1::~AWShape2DNB1() {}
00046 
00047 bool AWShape2DNB1::evaluate( const MsqMatrix< 2, 2 >& A, const MsqMatrix< 2, 2 >& W, double& result, MsqError& )
00048 {
00049     MsqMatrix< 2, 2 > tmp = det( W ) * transpose( A ) * A;
00050     tmp -= det( A ) * W * transpose( W );
00051     result = sqr_Frobenius( tmp );
00052     return true;
00053 }
00054 
00055 bool AWShape2DNB1::evaluate_with_grad( const MsqMatrix< 2, 2 >& A, const MsqMatrix< 2, 2 >& W, double& result,
00056                                        MsqMatrix< 2, 2 >& deriv_wrt_A, MsqError& )
00057 {
00058     const double alpha          = det( A );
00059     const double omega          = det( W );
00060     const MsqMatrix< 2, 2 > AtA = transpose( A ) * A;
00061     const MsqMatrix< 2, 2 > WtW = transpose( W ) * W;
00062     const MsqMatrix< 2, 2 > AWt = A * transpose( W );
00063     const double alphaWtW       = alpha * sqr_Frobenius( WtW );
00064     const double omegaAtA       = omega * sqr_Frobenius( AtA );
00065     const double omegaAWt       = omega * sqr_Frobenius( AWt );
00066     result                      = omega * omegaAtA;
00067     result += alpha * alphaWtW;
00068     result -= 2 * alpha * omegaAWt;
00069 
00070     deriv_wrt_A = 4 * omega * omega * A * transpose( A ) * A;
00071     deriv_wrt_A -= 4 * alpha * omega * AWt * W;
00072     deriv_wrt_A += 2 * ( alphaWtW - omegaAWt ) * transpose_adj( A );
00073     return true;
00074 }
00075 
00076 }  // namespace MBMesquite
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