MOAB: Mesh Oriented datABase  (version 5.2.1)
TUntangle1.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 TUntangle1.hpp
00028  *  \brief
00029  *  \author Jason Kraftcheck
00030  */
00031 
00032 #ifndef MSQ_T_UNTANGLE_1_HPP
00033 #define MSQ_T_UNTANGLE_1_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}{2} \left( - \tau + \sqrt{\tau^2 + \left(\epsilon \, \bar{\tau} \right)^2}
00044  * \right)\f$
00045  *
00046  * Section 3.2.8 of derivs.tex
00047  */
00048 class TUntangle1 : public TMetric
00049 {
00050   private:
00051     double mFactor;
00052 
00053   public:
00054     TUntangle1( double epsilon = 1e-6, double tau_bar = 1.0 ) : mFactor( epsilon * epsilon * tau_bar * tau_bar ) {}
00055 
00056     MESQUITE_EXPORT virtual ~TUntangle1();
00057 
00058     MESQUITE_EXPORT virtual std::string get_name() const;
00059 
00060     MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 2, 2 >& T, double& result, MsqError& err );
00061 
00062     MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 2, 2 >& T, double& result,
00063                                                      MsqMatrix< 2, 2 >& deriv_wrt_T, MsqError& err );
00064 
00065     MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 2, 2 >& T, double& result,
00066                                                      MsqMatrix< 2, 2 >& deriv_wrt_T, MsqMatrix< 2, 2 > second_wrt_T[3],
00067                                                      MsqError& err );
00068 
00069     MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err );
00070 
00071     MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 3, 3 >& T, double& result,
00072                                                      MsqMatrix< 3, 3 >& deriv_wrt_T, MsqError& err );
00073 
00074     MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 3, 3 >& T, double& result,
00075                                                      MsqMatrix< 3, 3 >& deriv_wrt_T, MsqMatrix< 3, 3 > second_wrt_T[6],
00076                                                      MsqError& err );
00077 
00078   private:
00079     template < unsigned D >
00080     inline bool eval( const MsqMatrix< D, D >& T, double& result );
00081     template < unsigned D >
00082     inline bool grad( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first );
00083     template < unsigned D >
00084     inline bool hess( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first, MsqMatrix< D, D >* second );
00085 };
00086 
00087 }  // namespace MBMesquite
00088 
00089 #endif
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