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75 lines
2.5 KiB
C++
75 lines
2.5 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/tensors/Tensor_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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Author: neo <cossu@post.kek.jp>
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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_MATH_TRACE_H
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#define GRID_MATH_TRACE_H
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namespace Grid {
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//////////////////////////////////////////////////////////////////
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// Traces: both all indices and a specific index. Indices must be
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// either scalar or matrix
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/////////////////////////////////////////////////////////////////
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inline ComplexF trace( const ComplexF &arg){ return arg;}
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inline ComplexD trace( const ComplexD &arg){ return arg;}
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inline RealF trace( const RealF &arg){ return arg;}
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inline RealD trace( const RealD &arg){ return arg;}
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template<class vtype,int N>
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inline auto trace(const iMatrix<vtype,N> &arg) -> iScalar<decltype(trace(arg._internal[0][0]))>
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{
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iScalar<decltype( trace(arg._internal[0][0] )) > ret;
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zeroit(ret._internal);
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for(int i=0;i<N;i++){
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ret._internal=ret._internal+trace(arg._internal[i][i]);
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}
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return ret;
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}
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template<class vtype>
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inline auto trace(const iScalar<vtype> &arg) -> iScalar<decltype(trace(arg._internal))>
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{
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iScalar<decltype(trace(arg._internal))> ret;
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ret._internal=trace(arg._internal);
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return ret;
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}
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template<class vtype,int N>
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inline auto trace(const iVector<vtype,N> &arg) -> iVector<decltype(trace(arg._internal[0])),N>
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{
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iVector<decltype(trace(arg._internal[0])),N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i]=trace(arg._internal[i]);
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}
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return ret;
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}
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}
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#endif
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