MOAB: Mesh Oriented datABase  (version 5.2.1)
TSizeB1.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 TSizeB1.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "TSizeB1.hpp"
00034 #include "MsqMatrix.hpp"
00035 #include "MsqError.hpp"
00036 #include "TMPDerivs.hpp"
00037 #include "TMPCommon.hpp"
00038 
00039 namespace MBMesquite
00040 {
00041 
00042 std::string TSizeB1::get_name() const
00043 {
00044     return "TSizeB1";
00045 }
00046 
00047 TSizeB1::~TSizeB1() {}
00048 
00049 bool TSizeB1::evaluate( const MsqMatrix< 2, 2 >& T, double& result, MsqError& err )
00050 {
00051     double d = det( T );
00052     if( TMetric::invalid_determinant( d ) )
00053     {
00054         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00055         return false;
00056     }
00057     result = d + 1.0 / d - 2.0;
00058     return true;
00059 }
00060 
00061 bool TSizeB1::evaluate_with_grad( const MsqMatrix< 2, 2 >& T, double& result, MsqMatrix< 2, 2 >& deriv_wrt_T,
00062                                   MsqError& err )
00063 {
00064     double d = det( T );
00065     if( TMetric::invalid_determinant( d ) )
00066     {
00067         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00068         return false;
00069     }
00070     result      = d + 1.0 / d - 2.0;
00071     deriv_wrt_T = ( 1 - 1 / ( d * d ) ) * transpose_adj( T );
00072     return true;
00073 }
00074 
00075 bool TSizeB1::evaluate_with_hess( const MsqMatrix< 2, 2 >& T, double& result, MsqMatrix< 2, 2 >& deriv_wrt_T,
00076                                   MsqMatrix< 2, 2 > second_wrt_T[3], MsqError& err )
00077 {
00078     double d = det( T );
00079     if( TMetric::invalid_determinant( d ) )
00080     {
00081         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00082         return false;
00083     }
00084     result                 = d + 1.0 / d - 2.0;
00085     MsqMatrix< 2, 2 > adjt = transpose_adj( T );
00086     const double f         = 1 - 1 / ( d * d );
00087     deriv_wrt_T            = f * adjt;
00088 
00089     set_scaled_outer_product( second_wrt_T, 2 / ( d * d * d ), adjt );
00090     pluseq_scaled_2nd_deriv_of_det( second_wrt_T, f, T );
00091     return true;
00092 }
00093 
00094 bool TSizeB1::evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err )
00095 {
00096     double d = det( T );
00097     if( TMetric::invalid_determinant( d ) )
00098     {
00099         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00100         return false;
00101     }
00102     result = d + 1.0 / d - 2.0;
00103     return true;
00104 }
00105 
00106 bool TSizeB1::evaluate_with_grad( const MsqMatrix< 3, 3 >& T, double& result, MsqMatrix< 3, 3 >& deriv_wrt_T,
00107                                   MsqError& err )
00108 {
00109     double d = det( T );
00110     if( TMetric::invalid_determinant( d ) )
00111     {
00112         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00113         return false;
00114     }
00115     result      = d + 1.0 / d - 2.0;
00116     deriv_wrt_T = ( 1 - 1 / ( d * d ) ) * transpose_adj( T );
00117     return true;
00118 }
00119 
00120 bool TSizeB1::evaluate_with_hess( const MsqMatrix< 3, 3 >& T, double& result, MsqMatrix< 3, 3 >& deriv_wrt_T,
00121                                   MsqMatrix< 3, 3 > second_wrt_T[6], MsqError& err )
00122 {
00123     double d = det( T );
00124     if( TMetric::invalid_determinant( d ) )
00125     {
00126         MSQ_SETERR( err )( barrier_violated_msg, MsqError::BARRIER_VIOLATED );
00127         return false;
00128     }
00129     result                 = d + 1.0 / d - 2.0;
00130     MsqMatrix< 3, 3 > adjt = transpose_adj( T );
00131     const double f         = 1 - 1 / ( d * d );
00132     deriv_wrt_T            = f * adjt;
00133 
00134     set_scaled_outer_product( second_wrt_T, 2 / ( d * d * d ), adjt );
00135     pluseq_scaled_2nd_deriv_of_det( second_wrt_T, f, T );
00136     return true;
00137 }
00138 
00139 }  // namespace MBMesquite
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