tIPLogRelativeFunctional.hh - pism - [fork] customized build of PISM, the parallel ice sheet model (tillflux branch)
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tIPLogRelativeFunctional.hh (2161B)
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1 // Copyright (C) 2013, 2014, 2015 David Maxwell and Constantine Khroulev
2 //
3 // This file is part of PISM.
4 //
5 // PISM is free software; you can redistribute it and/or modify it under the
6 // terms of the GNU General Public License as published by the Free Software
7 // Foundation; either version 3 of the License, or (at your option) any later
8 // version.
9 //
10 // PISM is distributed in the hope that it will be useful, but WITHOUT ANY
11 // WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
12 // FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
13 // details.
14 //
15 // You should have received a copy of the GNU General Public License
16 // along with PISM; if not, write to the Free Software
17 // Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
18
19 #ifndef IPLOGRELATIVEFUNCTIONAL_HH_97I6BWHG
20 #define IPLOGRELATIVEFUNCTIONAL_HH_97I6BWHG
21
22 #include "IPFunctional.hh"
23
24 namespace pism {
25 namespace inverse {
26
27 //! Implements a functional for log-relative errors.
28 /*! Specifically, given a reference function \f$u_{obs}=[U_i]\f$,
29 \f[
30 J(x) = c_N \sum_i \log\left(1+W_i\frac{|X_i|^2}{|U_{i}|^2+\epsilon^2}\right)
31 \f]
32 where \f$\epsilon={\tt inv_ssa_velocity_eps}\f$ and \f$w\f$ is an optionally
33 provided weight function. The normalization constant \f$c_N\f$ is determined
34 implicitly by normalize().
35 */
36 class IPLogRelativeFunctional : public IPFunctional<IceModelVec2V> {
37 public:
38 IPLogRelativeFunctional(IceGrid::ConstPtr grid, IceModelVec2V &u_observed, double eps,
39 IceModelVec2S *weights=NULL) :
40 IPFunctional<IceModelVec2V>(grid), m_u_observed(u_observed), m_weights(weights), m_normalization(1.), m_eps(eps) {};
41 virtual ~IPLogRelativeFunctional() {};
42
43 virtual void normalize(double scale);
44
45 virtual void valueAt(IceModelVec2V &x, double *OUTPUT);
46 virtual void gradientAt(IceModelVec2V &x, IceModelVec2V &gradient);
47
48 protected:
49 IceModelVec2V &m_u_observed;
50 IceModelVec2S *m_weights;
51 double m_normalization;
52 double m_eps;
53 };
54
55
56 } // end of namespace inverse
57 } // end of namespace pism
58
59 #endif /* end of include guard: IPLOGRELATIVEFUNCTIONAL_HH_97I6BWHG */