MOAB: Mesh Oriented datABase  (version 5.4.0)
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,
00063                                double& result,
00064                                MsqMatrix< DIM, DIM >& deriv_wrt_T,
00065                                MsqError& err )
00066 {
00067     bool valid = mBaseMetric->evaluate_with_grad( T, result, deriv_wrt_T, err );
00068     if( MSQ_CHKERR( err ) || !valid ) return false;
00069 
00070     if( mConstant < result )
00071     {
00072         const double s = result - mConstant;
00073         result         = s * s * s;
00074         deriv_wrt_T *= 3 * s * s;
00075     }
00076     else
00077     {
00078         result      = 0;
00079         deriv_wrt_T = MsqMatrix< DIM, DIM >( 0.0 );
00080     }
00081 
00082     return true;
00083 }
00084 
00085 template < unsigned DIM >
00086 inline bool TUntangleMu::hess( const MsqMatrix< DIM, DIM >& T,
00087                                double& result,
00088                                MsqMatrix< DIM, DIM >& deriv_wrt_T,
00089                                MsqMatrix< DIM, DIM >* second_wrt_T,
00090                                MsqError& err )
00091 {
00092     bool valid = mBaseMetric->evaluate_with_hess( T, result, deriv_wrt_T, second_wrt_T, err );
00093     if( MSQ_CHKERR( err ) || !valid ) return false;
00094 
00095     if( mConstant < result )
00096     {
00097         const double s = result - mConstant;
00098         result         = s * s * s;
00099         hess_scale( second_wrt_T, 3 * s * s );
00100         pluseq_scaled_outer_product( second_wrt_T, 6 * s, deriv_wrt_T );
00101         deriv_wrt_T *= 3 * s * s;
00102     }
00103     else
00104     {
00105         result      = 0;
00106         deriv_wrt_T = MsqMatrix< DIM, DIM >( 0.0 );
00107         set_scaled_I( second_wrt_T, 0.0 );  // zero everything
00108     }
00109 
00110     return true;
00111 }
00112 
00113 TMP_T_TEMPL_IMPL_COMMON_ERR( TUntangleMu )
00114 
00115 }  // namespace MBMesquite
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