mirror of
https://github.com/paboyle/Grid.git
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131 lines
4.4 KiB
C++
131 lines
4.4 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/lattice/Lattice_trace.h
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Copyright (C) 2015
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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 GRID_LATTICE_TRACE_H
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#define GRID_LATTICE_TRACE_H
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///////////////////////////////////////////////
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// Tracing, transposing, peeking, poking
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///////////////////////////////////////////////
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NAMESPACE_BEGIN(Grid);
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Trace
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////////////////////////////////////////////////////////////////////////////////////////////////////
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/*
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template<class vobj>
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inline auto trace(const Lattice<vobj> &lhs) -> Lattice<decltype(trace(vobj()))>
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{
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Lattice<decltype(trace(vobj()))> ret(lhs.Grid());
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autoView(ret_v , ret, AcceleratorWrite);
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autoView(lhs_v , lhs, AcceleratorRead);
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accelerator_for( ss, lhs_v.size(), vobj::Nsimd(), {
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coalescedWrite(ret_v[ss], trace(lhs_v(ss)));
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});
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return ret;
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};
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*/
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Trace Index level dependent operation
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////////////////////////////////////////////////////////////////////////////////////////////////////
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template<int Index,class vobj>
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inline auto TraceIndex(const Lattice<vobj> &lhs) -> Lattice<decltype(traceIndex<Index>(vobj()))>
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{
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Lattice<decltype(traceIndex<Index>(vobj()))> ret(lhs.Grid());
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autoView( ret_v , ret, AcceleratorWrite);
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autoView( lhs_v , lhs, AcceleratorRead);
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accelerator_for( ss, lhs_v.size(), vobj::Nsimd(), {
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coalescedWrite(ret_v[ss], traceIndex<Index>(lhs_v(ss)));
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});
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return ret;
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};
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template<int N, class Vec>
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Lattice<iScalar<iScalar<iScalar<Vec> > > > Determinant(const Lattice<iScalar<iScalar<iMatrix<Vec, N> > > > &Umu)
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{
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GridBase *grid=Umu.Grid();
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auto lvol = grid->lSites();
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Lattice<iScalar<iScalar<iScalar<Vec> > > > ret(grid);
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typedef typename Vec::scalar_type scalar;
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autoView(Umu_v,Umu,CpuRead);
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autoView(ret_v,ret,CpuWrite);
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thread_for(site,lvol,{
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Eigen::MatrixXcd EigenU = Eigen::MatrixXcd::Zero(N,N);
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Coordinate lcoor;
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grid->LocalIndexToLocalCoor(site, lcoor);
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iScalar<iScalar<iMatrix<scalar, N> > > Us;
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peekLocalSite(Us, Umu_v, lcoor);
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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scalar tmp= Us()()(i,j);
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ComplexD ztmp(real(tmp),imag(tmp));
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EigenU(i,j)=ztmp;
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}}
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ComplexD detD = EigenU.determinant();
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typename Vec::scalar_type det(detD.real(),detD.imag());
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pokeLocalSite(det,ret_v,lcoor);
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});
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return ret;
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}
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template<int N>
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Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > Inverse(const Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > &Umu)
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{
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GridBase *grid=Umu.Grid();
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auto lvol = grid->lSites();
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Lattice<iScalar<iScalar<iMatrix<vComplexD, N> > > > ret(grid);
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autoView(Umu_v,Umu,CpuRead);
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autoView(ret_v,ret,CpuWrite);
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thread_for(site,lvol,{
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Eigen::MatrixXcd EigenU = Eigen::MatrixXcd::Zero(N,N);
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Coordinate lcoor;
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grid->LocalIndexToLocalCoor(site, lcoor);
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iScalar<iScalar<iMatrix<ComplexD, N> > > Us;
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iScalar<iScalar<iMatrix<ComplexD, N> > > Ui;
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peekLocalSite(Us, Umu_v, lcoor);
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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EigenU(i,j) = Us()()(i,j);
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}}
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Eigen::MatrixXcd EigenUinv = EigenU.inverse();
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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Ui()()(i,j) = EigenUinv(i,j);
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}}
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pokeLocalSite(Ui,ret_v,lcoor);
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});
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return ret;
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}
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NAMESPACE_END(Grid);
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#endif
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