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tests/core/Test_reunitarise.cc
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tests/core/Test_reunitarise.cc
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/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./tests/Test_quenched_update.cc
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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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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#include <Grid/Grid.h>
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using namespace std;
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using namespace Grid;
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;
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int main (int argc, char ** argv)
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{
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Grid_init(&argc,&argv);
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std::vector<int> latt({8,8,8,8});
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GridCartesian * grid = SpaceTimeGrid::makeFourDimGrid(latt,
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GridDefaultSimd(Nd,vComplexD::Nsimd()),
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GridDefaultMpi());
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GridCartesian * gridF = SpaceTimeGrid::makeFourDimGrid(latt,
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GridDefaultSimd(Nd,vComplexF::Nsimd()),
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GridDefaultMpi());
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///////////////////////////////
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// Configuration of known size
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///////////////////////////////
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LatticeColourMatrixD ident(grid);
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LatticeColourMatrixD U(grid);
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LatticeColourMatrixD UU(grid);
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LatticeColourMatrixD tmp(grid);
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LatticeColourMatrixD org(grid);
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LatticeColourMatrixF UF(gridF);
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LatticeGaugeField Umu(grid);
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ident =1.0;
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// RNG set up for test
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std::vector<int> pseeds({1,2,3,4,5}); // once I caught a fish alive
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std::vector<int> sseeds({6,7,8,9,10});// then i let it go again
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GridParallelRNG pRNG(grid); pRNG.SeedFixedIntegers(pseeds);
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(sseeds);
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SU<Nc>::HotConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,0);
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org=U;
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tmp= U*adj(U) - ident ;
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RealD Def1 = norm2( tmp );
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std::cout << " Defect1 "<<Def1<<std::endl;
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tmp = U - org;
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std::cout << "Diff1 "<<norm2(tmp)<<std::endl;
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precisionChange(UF,U);
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precisionChange(U,UF);
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tmp= U*adj(U) - ident ;
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RealD Def2 = norm2( tmp );
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std::cout << " Defect2 "<<Def2<<std::endl;
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tmp = U - org;
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std::cout << "Diff2 "<<norm2(tmp)<<std::endl;
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U = ProjectOnGroup(U);
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tmp= U*adj(U) - ident ;
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RealD Def3 = norm2( tmp);
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std::cout << " Defect3 "<<Def3<<std::endl;
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tmp = U - org;
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std::cout << "Diff3 "<<norm2(tmp)<<std::endl;
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LatticeComplexD detU(grid);
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LatticeComplexD detUU(grid);
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detU= Determinant(U) ;
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std::cout << "Determinant before screw up " <<detU<<std::endl;
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std::cout << " Screwing up determinant " << std::endl;
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RealD theta = 0.2;
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ComplexD phase(cos(theta),sin(theta));
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for(int i=0;i<Nc;i++){
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auto element = PeekIndex<ColourIndex>(U,Nc-1,i);
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element = element * phase;
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PokeIndex<ColourIndex>(U,element,Nc-1,i);
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}
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UU=U;
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detU= Determinant(U) ;
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std::cout << "Determinant after screw up " <<detU<<std::endl;
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ProjectSU3(U);
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detU= Determinant(U) ;
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std::cout << "Determinant ProjectSU3 " <<detU<<std::endl;
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detU= detU -1.0;
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std::cout << "Determinant ProjectSU3 defect " <<norm2(detU)<<std::endl;
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ProjectSUn<3>(UU);
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detUU= Determinant(UU);
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std::cout << "Determinant ProjectSUn " <<detUU<<std::endl;
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std::cout << "Determinant ProjectSUn defect " <<norm2(detUU)<<std::endl;
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Grid_finalize();
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}
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