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215 lines
7.4 KiB
C++
215 lines
7.4 KiB
C++
#if 1
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: SchurDiagTwoKappa.h
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Copyright (C) 2017
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Author: Christoph Lehner
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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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 _SCHUR_DIAG_TWO_KAPPA_H
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#define _SCHUR_DIAG_TWO_KAPPA_H
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namespace Grid {
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// This is specific to (Z)mobius fermions
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template<class Matrix, class Field>
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class KappaSimilarityTransform {
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public:
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INHERIT_IMPL_TYPES(Matrix);
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std::vector<Coeff_t> kappa, kappaDag, kappaInv, kappaInvDag;
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KappaSimilarityTransform (Matrix &zmob) {
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for (int i=0;i<(int)zmob.bs.size();i++) {
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Coeff_t k = 1.0 / ( 2.0 * (zmob.bs[i] *(4 - zmob.M5) + 1.0) );
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kappa.push_back( k );
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kappaDag.push_back( conj(k) );
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kappaInv.push_back( 1.0 / k );
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kappaInvDag.push_back( 1.0 / conj(k) );
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}
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}
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template<typename vobj>
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void sscale(const Lattice<vobj>& in, Lattice<vobj>& out, Coeff_t* s) {
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GridBase *grid=out._grid;
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out.checkerboard = in.checkerboard;
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assert(grid->_simd_layout[0] == 1); // should be fine for ZMobius for now
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int Ls = grid->_rdimensions[0];
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parallel_for(int ss=0;ss<grid->oSites();ss++){
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vobj tmp = s[ss % Ls]*in._odata[ss];
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vstream(out._odata[ss],tmp);
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}
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}
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RealD sscale_norm(const Field& in, Field& out, Coeff_t* s) {
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sscale(in,out,s);
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return norm2(out);
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}
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virtual RealD M (const Field& in, Field& out) { return sscale_norm(in,out,&kappa[0]); }
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virtual RealD MDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaDag[0]);}
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virtual RealD MInv (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInv[0]);}
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virtual RealD MInvDag (const Field& in, Field& out) { return sscale_norm(in,out,&kappaInvDag[0]);}
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};
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template<class Matrix,class Field>
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class SchurDiagTwoKappaOperator : public SchurOperatorBase<Field> {
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public:
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KappaSimilarityTransform<Matrix, Field> _S;
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SchurDiagTwoOperator<Matrix, Field> _Mat;
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SchurDiagTwoKappaOperator (Matrix &Mat): _S(Mat), _Mat(Mat) {};
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virtual RealD Mpc (const Field &in, Field &out) {
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Field tmp(in._grid);
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_S.MInv(in,out);
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_Mat.Mpc(out,tmp);
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return _S.M(tmp,out);
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}
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virtual RealD MpcDag (const Field &in, Field &out){
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Field tmp(in._grid);
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_S.MDag(in,out);
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_Mat.MpcDag(out,tmp);
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return _S.MInvDag(tmp,out);
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}
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};
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#if 0
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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// Copied from DiagTwoSolve
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///////////////////////////////////////////////////////////////////////////////////////////////////////
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template<class Field> class SchurRedBlackDiagTwoSolve {
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private:
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OperatorFunction<Field> & _HermitianRBSolver;
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int CBfactorise;
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public:
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/////////////////////////////////////////////////////
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// Wrap the usual normal equations Schur trick
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/////////////////////////////////////////////////////
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SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver) :
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_HermitianRBSolver(HermitianRBSolver)
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{
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CBfactorise=0;
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};
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template<class Matrix>
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void operator() (Matrix & _Matrix,const Field &in, Field &out){
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// FIXME CGdiagonalMee not implemented virtual function
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// FIXME use CBfactorise to control schur decomp
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GridBase *grid = _Matrix.RedBlackGrid();
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GridBase *fgrid= _Matrix.Grid();
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SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
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Field src_e(grid);
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Field src_o(grid);
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Field sol_e(grid);
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Field sol_o(grid);
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Field tmp(grid);
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Field Mtmp(grid);
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Field resid(fgrid);
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pickCheckerboard(Even,src_e,in);
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pickCheckerboard(Odd ,src_o,in);
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pickCheckerboard(Even,sol_e,out);
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pickCheckerboard(Odd ,sol_o,out);
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/////////////////////////////////////////////////////
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// src_o = Mdag * (source_o - Moe MeeInv source_e)
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/////////////////////////////////////////////////////
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_Matrix.MooeeInv(src_e,tmp); assert( tmp.checkerboard ==Even);
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_Matrix.Meooe (tmp,Mtmp); assert( Mtmp.checkerboard ==Odd);
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tmp=src_o-Mtmp; assert( tmp.checkerboard ==Odd);
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// get the right MpcDag
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_HermOpEO.MpcDag(tmp,src_o); assert(src_o.checkerboard ==Odd);
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//////////////////////////////////////////////////////////////
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// Call the red-black solver
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//////////////////////////////////////////////////////////////
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std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
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// _HermitianRBSolver(_HermOpEO,src_o,sol_o); assert(sol_o.checkerboard==Odd);
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_HermitianRBSolver(_HermOpEO,src_o,tmp); assert(tmp.checkerboard==Odd);
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_Matrix.MooeeInv(tmp,sol_o); assert( sol_o.checkerboard ==Odd);
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///////////////////////////////////////////////////
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// sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
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///////////////////////////////////////////////////
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_Matrix.Meooe(sol_o,tmp); assert( tmp.checkerboard ==Even);
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src_e = src_e-tmp; assert( src_e.checkerboard ==Even);
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_Matrix.MooeeInv(src_e,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_e); assert( sol_e.checkerboard ==Even);
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setCheckerboard(out,sol_o); assert( sol_o.checkerboard ==Odd );
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// Verify the unprec residual
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_Matrix.M(out,resid);
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resid = resid-in;
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RealD ns = norm2(in);
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RealD nr = norm2(resid);
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std::cout<<GridLogMessage << "SchurRedBlackDiagTwoKappa solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
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}
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};
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#endif
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namespace QCD{
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//
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// Determinant is det of middle factor
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// This assumes Mee is indept of U.
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//
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//
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template<class Impl>
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class SchurDifferentiableDiagTwo: public SchurDiagTwoOperator<FermionOperator<Impl>,typename Impl::FermionField>
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{
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public:
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INHERIT_IMPL_TYPES(Impl);
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typedef FermionOperator<Impl> Matrix;
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SchurDifferentiableDiagTwo (Matrix &Mat) : SchurDiagTwoOperator<Matrix,FermionField>(Mat) {};
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};
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#if 0
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template<class Impl>
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class SchurDifferentiableDiagTwoKappa : public SchurDiagTwoKappaOperator<FermionOperator<Impl>,typename Impl::FermionField>
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{
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public:
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INHERIT_IMPL_TYPES(Impl);
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typedef FermionOperator<Impl> Matrix;
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SchurDifferentiableDiagTwoKappa (Matrix &Mat) : SchurDiagTwoKappaOperator<Matrix,FermionField>(Mat) {};
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};
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#endif
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}
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}
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#endif
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#endif
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