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96671bbb24
Added a general implementation of the Remez algorithm for producing arbitrary rational polynomial approximation with optional restriction to even/odd polynomials Added implementation of computation of ZMobius parameters Added Test_zMADWF_prec to test ZMobius in MADWF
58 lines
2.3 KiB
C++
58 lines
2.3 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/algorithms/approx/ZMobius.h
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Copyright (C) 2015
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Author: Christopher Kelly <ckelly@phys.columbia.edu>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#ifndef GRID_ZMOBIUS_APPROX_H
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#define GRID_ZMOBIUS_APPROX_H
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#include <Grid/GridCore.h>
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NAMESPACE_BEGIN(Grid);
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NAMESPACE_BEGIN(Approx);
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//Compute the Zmobius Omega parameters suitable for eigenvalue range -lambda_bound <= lambda <= lambda_bound
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//Note omega_i = 1/(b_i + c_i) where b_i and c_i are the Mobius parameters
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void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
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const std::vector<RealD> &omega_in, const int Ls_in,
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const RealD lambda_bound);
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//mobius_param = b+c with b-c=1
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void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
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//ZMobius class takes gamma_i = (b+c) omega_i as its input, where b, c are factored out
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void computeZmobiusGamma(std::vector<ComplexD> &gamma_out,
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const RealD mobius_param_out, const int Ls_out,
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const RealD mobius_param_in, const int Ls_in,
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const RealD lambda_bound);
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//Assumes mobius_param_out == mobius_param_in
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void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
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NAMESPACE_END(Approx);
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NAMESPACE_END(Grid);
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#endif
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