MOAB: Mesh Oriented datABase  (version 5.4.0)
StdDevTemplate.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 StdDevTemplate.cpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #include "Mesquite.hpp"
00033 #include "StdDevTemplate.hpp"
00034 #include "QualityMetric.hpp"
00035 #include "MsqError.hpp"
00036 #include "MsqHessian.hpp"
00037 #include "PatchData.hpp"
00038 
00039 namespace MBMesquite
00040 {
00041 
00042 ObjectiveFunction* StdDevTemplate::clone() const
00043 {
00044     return new StdDevTemplate( *this );
00045 }
00046 
00047 bool StdDevTemplate::evaluate( EvalType type, PatchData& pd, double& value_out, bool free, MsqError& err )
00048 {
00049     bool result = VarianceTemplate::evaluate( type, pd, value_out, free, err );
00050     if( MSQ_CHKERR( err ) || !result ) return false;
00051 
00052     const double neg = get_quality_metric()->get_negate_flag();
00053     value_out        = neg * sqrt( neg * value_out );
00054     return true;
00055 }
00056 
00057 bool StdDevTemplate::evaluate_with_gradient( EvalType type,
00058                                              PatchData& pd,
00059                                              double& value_out,
00060                                              std::vector< Vector3D >& grad_out,
00061                                              MsqError& err )
00062 {
00063     bool result = VarianceTemplate::evaluate_with_gradient( type, pd, value_out, grad_out, err );
00064     if( MSQ_CHKERR( err ) || !result ) return false;
00065 
00066     const double neg = get_quality_metric()->get_negate_flag();
00067     value_out *= neg;                         // undo any negation done by VarianceTemplate
00068     value_out           = sqrt( value_out );  // standard deviation
00069     const double factor = 1.0 / ( 2.0 * value_out );
00070     for( std::vector< Vector3D >::iterator i = grad_out.begin(); i != grad_out.end(); ++i )
00071         *i *= factor;
00072     value_out *= neg;  // redo any negation done by VariandeTemplate
00073 
00074     return true;
00075 }
00076 
00077 bool StdDevTemplate::evaluate_with_Hessian_diagonal( EvalType type,
00078                                                      PatchData& pd,
00079                                                      double& value_out,
00080                                                      std::vector< Vector3D >& grad_out,
00081                                                      std::vector< SymMatrix3D >& hess_diag_out,
00082                                                      MsqError& err )
00083 {
00084     bool result = VarianceTemplate::evaluate_with_Hessian_diagonal( type, pd, value_out, grad_out, hess_diag_out, err );
00085     if( MSQ_CHKERR( err ) || !result ) return false;
00086 
00087     const double neg = get_quality_metric()->get_negate_flag();
00088     value_out *= neg;                     // undo any negation done by VarianceTemplate
00089     value_out       = sqrt( value_out );  // standard deviation
00090     const double f1 = 1.0 / ( 2.0 * value_out );
00091     const double f2 = neg * -0.25 / ( value_out * value_out * value_out );
00092     for( size_t i = 0; i < grad_out.size(); ++i )
00093     {
00094         hess_diag_out[i] *= f1;
00095         hess_diag_out[i] += f2 * outer( grad_out[i] );
00096         grad_out[i] *= f1;
00097     }
00098 
00099     value_out *= neg;  // redo any negation done by VariandeTemplate
00100     return true;
00101 }
00102 
00103 }  // namespace MBMesquite
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