MOAB: Mesh Oriented datABase  (version 5.2.1)
TUntangleBeta.hpp
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00001 /* *****************************************************************
00002     MESQUITE -- The Mesh Quality Improvement Toolkit
00003 
00004     Copyright 2009 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     (2009) kraftche@cae.wisc.edu
00024 
00025   ***************************************************************** */
00026 
00027 /** \file TUntangleBeta.hpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #ifndef MSQ_T_UNTANGLE_BETA_HPP
00033 #define MSQ_T_UNTANGLE_BETA_HPP
00034 
00035 #include "Mesquite.hpp"
00036 #include "TMetric.hpp"
00037 
00038 namespace MBMesquite
00039 {
00040 
00041 /**\brief Untangle metric
00042  *
00043  * \f$ \mu_n(T) = \frac{1}{8} {|\tau - \gamma| - (\tau - \gamma)}^3 \f$
00044  *
00045  * Section 3.2.7 of derivs.tex
00046  */
00047 class TUntangleBeta : public TMetric
00048 {
00049   private:
00050     double mGamma;
00051 
00052   public:
00053     TUntangleBeta( double gamma = 0.0 ) : mGamma( gamma ) {}
00054 
00055     MESQUITE_EXPORT virtual ~TUntangleBeta();
00056 
00057     MESQUITE_EXPORT virtual std::string get_name() const;
00058 
00059     MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 2, 2 >& T, double& result, MsqError& err );
00060 
00061     MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 2, 2 >& T, double& result,
00062                                                      MsqMatrix< 2, 2 >& deriv_wrt_T, MsqError& err );
00063 
00064     MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 2, 2 >& T, double& result,
00065                                                      MsqMatrix< 2, 2 >& deriv_wrt_T, MsqMatrix< 2, 2 > second_wrt_T[3],
00066                                                      MsqError& err );
00067 
00068     MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err );
00069 
00070     MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 3, 3 >& T, double& result,
00071                                                      MsqMatrix< 3, 3 >& deriv_wrt_T, MsqError& err );
00072 
00073     MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 3, 3 >& T, double& result,
00074                                                      MsqMatrix< 3, 3 >& deriv_wrt_T, MsqMatrix< 3, 3 > second_wrt_T[6],
00075                                                      MsqError& err );
00076 
00077   private:
00078     template < unsigned D >
00079     inline bool eval( const MsqMatrix< D, D >& T, double& result );
00080     template < unsigned D >
00081     inline bool grad( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first );
00082     template < unsigned D >
00083     inline bool hess( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first, MsqMatrix< D, D >* second );
00084 };
00085 
00086 }  // namespace MBMesquite
00087 
00088 #endif
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