/usr/include/trilinos/TargetMetric2D.hpp is in libtrilinos-dev 10.4.0.dfsg-1ubuntu2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 | /* *****************************************************************
MESQUITE -- The Mesh Quality Improvement Toolkit
Copyright 2006 Sandia National Laboratories. Developed at the
University of Wisconsin--Madison under SNL contract number
624796. The U.S. Government and the University of Wisconsin
retain certain rights to this software.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
(lgpl.txt) along with this library; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
(2006) kraftche@cae.wisc.edu
***************************************************************** */
/** \file TargetMetric2D.hpp
* \brief
* \author Jason Kraftcheck
*/
#ifndef MSQ_TARGET_METRIC_2D_HPP
#define MSQ_TARGET_METRIC_2D_HPP
#include "Mesquite.hpp"
#include <string>
namespace MESQUITE_NS {
class MsqError;
template <unsigned R, unsigned C> class MsqMatrix;
/**\brief A metric for comparing a 2x2 matrix A with a 2x2 target matrix W
*
* Implement a scalar function \f$\mu(A,W)\f$ where A and W are 2x2 matrices.
*/
class TargetMetric2D {
public:
// used by code templatized to work with either this class or TargetMetric2D
enum { MATRIX_DIM = 2 };
MESQUITE_EXPORT virtual
~TargetMetric2D();
MESQUITE_EXPORT virtual
std::string get_name() const = 0;
/**\brief Evaluate \f$\mu(A,W)\f$
*
*\param A 2x2 active matrix
*\param W 2x2 target matrix
*\param result Output: value of function
*\return false if function cannot be evaluated for given A and W
* (e.g. division by zero, etc.), true otherwise.
*/
MESQUITE_EXPORT virtual
bool evaluate( const MsqMatrix<2,2>& A,
const MsqMatrix<2,2>& W,
double& result,
MsqError& err ) = 0;
/**\brief Gradient of \f$\mu(A,W)\f$ with respect to components of A
*
*\param A 2x2 active matrix
*\param W 2x2 target matrix
*\param result Output: value of function
*\param deriv_wrt_A Output: partial deriviatve of \f$\mu\f$ wrt each term of A,
* evaluated at passed A.
* \f[\left[\begin{array}{cc}
* \frac{\partial\mu}{\partial A_{0,0}} &
* \frac{\partial\mu}{\partial A_{0,1}} \\
* \frac{\partial\mu}{\partial A_{1,0}} &
* \frac{\partial\mu}{\partial A_{1,1}} \\
* \end{array}\right]\f]
*\return false if function cannot be evaluated for given A and W
* (e.g. division by zero, etc.), true otherwise.
*/
MESQUITE_EXPORT virtual
bool evaluate_with_grad( const MsqMatrix<2,2>& A,
const MsqMatrix<2,2>& W,
double& result,
MsqMatrix<2,2>& deriv_wrt_A,
MsqError& err );
/**\brief Hessian of \f$\mu(A,W)\f$ with respect to components of A
*
*\param A 2x2 active matrix
*\param W 2x2 target matrix
*\param result Output: value of function
*\param deriv_wrt_A Output: partial deriviatve of \f$\mu\f$ wrt each term of A,
* evaluated at passed A.
*\param second_wrt_A Output: 4x4 matrix of second partial deriviatve of \f$\mu\f$ wrt
* each term of A, in row-major order. The symmetric
* matrix is decomposed into 2x2 blocks and only the upper diagonal
* blocks, in row-major order, are returned.
* \f[\left[\begin{array}{cc|cc}
* \frac{\partial^{2}\mu}{\partial A_{0,0}^2} &
* \frac{\partial^{2}\mu}{\partial A_{0,0}\partial A_{0,1}} &
* \frac{\partial^{2}\mu}{\partial A_{0,0}\partial A_{1,0}} &
* \frac{\partial^{2}\mu}{\partial A_{0,0}\partial A_{1,1}} \\
* \frac{\partial^{2}\mu}{\partial A_{0,0}\partial A_{0,1}} &
* \frac{\partial^{2}\mu}{\partial A_{0,1}^2} &
* \frac{\partial^{2}\mu}{\partial A_{0,1}\partial A_{1,0}} &
* \frac{\partial^{2}\mu}{\partial A_{0,1}\partial A_{1,1}} \\
* \hline & &
* \frac{\partial^{2}\mu}{\partial A_{1,0}^2} &
* \frac{\partial^{2}\mu}{\partial A_{1,0}\partial A_{1,1}} \\
* & &
* \frac{\partial^{2}\mu}{\partial A_{1,0}\partial A_{1,1}} &
* \frac{\partial^{2}\mu}{\partial A_{1,1}^2} \\
* \end{array}\right]\f]
*
*\return false if function cannot be evaluated for given A and W
* (e.g. division by zero, etc.), true otherwise.
*/
MESQUITE_EXPORT virtual
bool evaluate_with_hess( const MsqMatrix<2,2>& A,
const MsqMatrix<2,2>& W,
double& result,
MsqMatrix<2,2>& deriv_wrt_A,
MsqMatrix<2,2> second_wrt_A[3],
MsqError& err );
protected:
static inline bool invalid_determinant( double d )
{ return d < 1e-12; }
};
} // namespace Mesquite
#endif
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