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80 lines
3.2 KiB
C++
80 lines
3.2 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/tensors/Tensor_inner.h
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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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#ifndef GRID_MATH_INNER_H
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#define GRID_MATH_INNER_H
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namespace Grid {
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///////////////////////////////////////////////////////////////////////////////////////
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// innerProduct Scalar x Scalar -> Scalar
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// innerProduct Vector x Vector -> Scalar
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// innerProduct Matrix x Matrix -> Scalar
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///////////////////////////////////////////////////////////////////////////////////////
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template<class sobj> inline RealD norm2(const sobj &arg){
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typedef typename sobj::scalar_type scalar;
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decltype(innerProduct(arg,arg)) nrm;
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nrm = innerProduct(arg,arg);
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RealD ret = real(nrm);
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return ret;
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}
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template<class l,class r,int N> inline
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auto innerProduct (const iVector<l,N>& lhs,const iVector<r,N>& rhs) -> iScalar<decltype(innerProduct(lhs._internal[0],rhs._internal[0]))>
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{
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typedef decltype(innerProduct(lhs._internal[0],rhs._internal[0])) ret_t;
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iScalar<ret_t> ret;
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ret=zero;
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for(int c1=0;c1<N;c1++){
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ret._internal += innerProduct(lhs._internal[c1],rhs._internal[c1]);
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}
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return ret;
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}
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template<class l,class r,int N> inline
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auto innerProduct (const iMatrix<l,N>& lhs,const iMatrix<r,N>& rhs) -> iScalar<decltype(innerProduct(lhs._internal[0][0],rhs._internal[0][0]))>
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{
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typedef decltype(innerProduct(lhs._internal[0][0],rhs._internal[0][0])) ret_t;
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iScalar<ret_t> ret;
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iScalar<ret_t> tmp;
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ret=zero;
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for(int c1=0;c1<N;c1++){
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for(int c2=0;c2<N;c2++){
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ret._internal+=innerProduct(lhs._internal[c1][c2],rhs._internal[c1][c2]);
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}}
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return ret;
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}
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template<class l,class r> inline
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auto innerProduct (const iScalar<l>& lhs,const iScalar<r>& rhs) -> iScalar<decltype(innerProduct(lhs._internal,rhs._internal))>
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{
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typedef decltype(innerProduct(lhs._internal,rhs._internal)) ret_t;
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iScalar<ret_t> ret;
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ret._internal = innerProduct(lhs._internal,rhs._internal);
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return ret;
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}
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}
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#endif
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