MOAB: Mesh Oriented datABase
(version 5.4.1)
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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, 00062 double& result, 00063 MsqMatrix< 2, 2 >& deriv_wrt_T, 00064 MsqError& err ); 00065 00066 MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 2, 2 >& T, 00067 double& result, 00068 MsqMatrix< 2, 2 >& deriv_wrt_T, 00069 MsqMatrix< 2, 2 > second_wrt_T[3], 00070 MsqError& err ); 00071 00072 MESQUITE_EXPORT virtual bool evaluate( const MsqMatrix< 3, 3 >& T, double& result, MsqError& err ); 00073 00074 MESQUITE_EXPORT virtual bool evaluate_with_grad( const MsqMatrix< 3, 3 >& T, 00075 double& result, 00076 MsqMatrix< 3, 3 >& deriv_wrt_T, 00077 MsqError& err ); 00078 00079 MESQUITE_EXPORT virtual bool evaluate_with_hess( const MsqMatrix< 3, 3 >& T, 00080 double& result, 00081 MsqMatrix< 3, 3 >& deriv_wrt_T, 00082 MsqMatrix< 3, 3 > second_wrt_T[6], 00083 MsqError& err ); 00084 00085 private: 00086 template < unsigned D > 00087 inline bool eval( const MsqMatrix< D, D >& T, double& result ); 00088 template < unsigned D > 00089 inline bool grad( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first ); 00090 template < unsigned D > 00091 inline bool hess( const MsqMatrix< D, D >& T, double& result, MsqMatrix< D, D >& first, MsqMatrix< D, D >* second ); 00092 }; 00093 00094 } // namespace MBMesquite 00095 00096 #endif