MOAB: Mesh Oriented datABase  (version 5.2.1)
TUntangleMu.cpp
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00001 /* *****************************************************************
00002     MESQUITE -- The Mesh Quality Improvement Toolkit
00003 
00004     Copyright 2010 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 TRel2DUntangle.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "TUntangleMu.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "TMPDerivs.hpp"
00036 #include "TMPCommon.hpp"
00037 #include "MsqError.hpp"
00038 
00039 namespace MBMesquite
00040 {
00041 
00042 TUntangleMu::~TUntangleMu() {}
00043 
00044 std::string TUntangleMu::get_name() const
00045 {
00046     return "untangle(" + mBaseMetric->get_name() + ")";
00047 }
00048 
00049 template < unsigned DIM >
00050 inline bool TUntangleMu::eval( const MsqMatrix< DIM, DIM >& T, double& result, MsqError& err )
00051 {
00052     bool valid = mBaseMetric->evaluate( T, result, err );
00053     if( MSQ_CHKERR( err ) || !valid ) return false;
00054 
00055     const double d = mConstant - result;
00056     const double s = fabs( d ) - d;
00057     result         = 0.125 * s * s * s;
00058     return true;
00059 }
00060 
00061 template < unsigned DIM >
00062 inline bool TUntangleMu::grad( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv_wrt_T,
00063                                MsqError& err )
00064 {
00065     bool valid = mBaseMetric->evaluate_with_grad( T, result, deriv_wrt_T, err );
00066     if( MSQ_CHKERR( err ) || !valid ) return false;
00067 
00068     if( mConstant < result )
00069     {
00070         const double s = result - mConstant;
00071         result         = s * s * s;
00072         deriv_wrt_T *= 3 * s * s;
00073     }
00074     else
00075     {
00076         result      = 0;
00077         deriv_wrt_T = MsqMatrix< DIM, DIM >( 0.0 );
00078     }
00079 
00080     return true;
00081 }
00082 
00083 template < unsigned DIM >
00084 inline bool TUntangleMu::hess( const MsqMatrix< DIM, DIM >& T, double& result, MsqMatrix< DIM, DIM >& deriv_wrt_T,
00085                                MsqMatrix< DIM, DIM >* second_wrt_T, MsqError& err )
00086 {
00087     bool valid = mBaseMetric->evaluate_with_hess( T, result, deriv_wrt_T, second_wrt_T, err );
00088     if( MSQ_CHKERR( err ) || !valid ) return false;
00089 
00090     if( mConstant < result )
00091     {
00092         const double s = result - mConstant;
00093         result         = s * s * s;
00094         hess_scale( second_wrt_T, 3 * s * s );
00095         pluseq_scaled_outer_product( second_wrt_T, 6 * s, deriv_wrt_T );
00096         deriv_wrt_T *= 3 * s * s;
00097     }
00098     else
00099     {
00100         result      = 0;
00101         deriv_wrt_T = MsqMatrix< DIM, DIM >( 0.0 );
00102         set_scaled_I( second_wrt_T, 0.0 );  // zero everything
00103     }
00104 
00105     return true;
00106 }
00107 
00108 TMP_T_TEMPL_IMPL_COMMON_ERR( TUntangleMu )
00109 
00110 }  // namespace MBMesquite
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