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236 lines
6.9 KiB
C++
236 lines
6.9 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/tensors/Tensor_reality.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_REALITY_H
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#define GRID_MATH_REALITY_H
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namespace Grid {
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///////////////////////////////////////////////
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// multiply by I; make recursive.
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///////////////////////////////////////////////
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template<class vtype> inline iScalar<vtype> timesI(const iScalar<vtype>&r)
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{
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iScalar<vtype> ret;
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timesI(ret._internal,r._internal);
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return ret;
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}
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template<class vtype,int N> inline iVector<vtype,N> timesI(const iVector<vtype,N>&r)
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{
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iVector<vtype,N> ret;
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for(int i=0;i<N;i++){
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timesI(ret._internal[i],r._internal[i]);
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}
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return ret;
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}
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template<class vtype,int N> inline iMatrix<vtype,N> timesI(const iMatrix<vtype,N>&r)
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{
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iMatrix<vtype,N> ret;
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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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timesI(ret._internal[i][j],r._internal[i][j]);
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}}
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return ret;
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}
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template<class vtype> inline void timesI(iScalar<vtype> &ret,const iScalar<vtype>&r)
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{
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timesI(ret._internal,r._internal);
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}
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template<class vtype,int N> inline void timesI(iVector<vtype,N> &ret,const iVector<vtype,N>&r)
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{
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for(int i=0;i<N;i++){
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timesI(ret._internal[i],r._internal[i]);
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}
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}
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template<class vtype,int N> inline void timesI(iMatrix<vtype,N> &ret,const iMatrix<vtype,N>&r)
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{
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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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timesI(ret._internal[i][j],r._internal[i][j]);
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}}
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}
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template<class vtype> inline iScalar<vtype> timesMinusI(const iScalar<vtype>&r)
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{
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iScalar<vtype> ret;
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timesMinusI(ret._internal,r._internal);
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return ret;
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}
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template<class vtype,int N> inline iVector<vtype,N> timesMinusI(const iVector<vtype,N>&r)
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{
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iVector<vtype,N> ret;
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for(int i=0;i<N;i++){
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timesMinusI(ret._internal[i],r._internal[i]);
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}
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return ret;
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}
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template<class vtype,int N> inline iMatrix<vtype,N> timesMinusI(const iMatrix<vtype,N>&r)
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{
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iMatrix<vtype,N> ret;
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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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timesMinusI(ret._internal[i][j],r._internal[i][j]);
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}}
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return ret;
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}
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template<class vtype> inline void timesMinusI(iScalar<vtype> &ret,const iScalar<vtype>&r)
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{
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timesMinusI(ret._internal,r._internal);
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}
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template<class vtype,int N> inline void timesMinusI(iVector<vtype,N> &ret,const iVector<vtype,N>&r)
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{
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for(int i=0;i<N;i++){
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timesMinusI(ret._internal[i],r._internal[i]);
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}
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}
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template<class vtype,int N> inline void timesMinusI(iMatrix<vtype,N> &ret,const iMatrix<vtype,N>&r)
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{
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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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timesMinusI(ret._internal[i][j],r._internal[i][j]);
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}}
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}
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///////////////////////////////////////////////
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// Conj function for scalar, vector, matrix
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///////////////////////////////////////////////
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template<class vtype> inline iScalar<vtype> conjugate(const iScalar<vtype>&r)
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{
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iScalar<vtype> ret;
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ret._internal = conjugate(r._internal);
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return ret;
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}
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template<class vtype,int N> inline iVector<vtype,N> conjugate(const iVector<vtype,N>&r)
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{
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iVector<vtype,N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = conjugate(r._internal[i]);
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}
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return ret;
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}
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template<class vtype,int N> inline iMatrix<vtype,N> conjugate(const iMatrix<vtype,N>&r)
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{
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iMatrix<vtype,N> ret;
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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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ret._internal[i][j] = conjugate(r._internal[i][j]);
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}}
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return ret;
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}
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///////////////////////////////////////////////
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// Adj function for scalar, vector, matrix
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///////////////////////////////////////////////
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template<class vtype> inline iScalar<vtype> adj(const iScalar<vtype>&r)
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{
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iScalar<vtype> ret;
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ret._internal = adj(r._internal);
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return ret;
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}
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template<class vtype,int N> inline iVector<vtype,N> adj(const iVector<vtype,N>&r)
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{
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iVector<vtype,N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = adj(r._internal[i]);
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}
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return ret;
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}
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template<class vtype,int N> inline iMatrix<vtype,N> adj(const iMatrix<vtype,N> &arg)
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{
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iMatrix<vtype,N> ret;
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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[c1][c2]=adj(arg._internal[c2][c1]);
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}}
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return ret;
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}
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/////////////////////////////////////////////////////////////////
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// Can only take the real/imag part of scalar objects, since
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// lattice objects of different complex nature are non-conformable.
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/////////////////////////////////////////////////////////////////
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template<class itype> inline auto real(const iScalar<itype> &z) -> iScalar<decltype(real(z._internal))>
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{
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iScalar<decltype(real(z._internal))> ret;
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ret._internal = real(z._internal);
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return ret;
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}
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template<class itype,int N> inline auto real(const iMatrix<itype,N> &z) -> iMatrix<decltype(real(z._internal[0][0])),N>
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{
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iMatrix<decltype(real(z._internal[0][0])),N> ret;
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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[c1][c2] = real(z._internal[c1][c2]);
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}}
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return ret;
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}
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template<class itype,int N> inline auto real(const iVector<itype,N> &z) -> iVector<decltype(real(z._internal[0])),N>
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{
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iVector<decltype(real(z._internal[0])),N> ret;
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for(int c1=0;c1<N;c1++){
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ret._internal[c1] = real(z._internal[c1]);
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}
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return ret;
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}
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template<class itype> inline auto imag(const iScalar<itype> &z) -> iScalar<decltype(imag(z._internal))>
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{
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iScalar<decltype(imag(z._internal))> ret;
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ret._internal = imag(z._internal);
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return ret;
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}
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template<class itype,int N> inline auto imag(const iMatrix<itype,N> &z) -> iMatrix<decltype(imag(z._internal[0][0])),N>
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{
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iMatrix<decltype(imag(z._internal[0][0])),N> ret;
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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[c1][c2] = imag(z._internal[c1][c2]);
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}}
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return ret;
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}
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template<class itype,int N> inline auto imag(const iVector<itype,N> &z) -> iVector<decltype(imag(z._internal[0])),N>
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{
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iVector<decltype(imag(z._internal[0])),N> ret;
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for(int c1=0;c1<N;c1++){
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ret._internal[c1] = imag(z._internal[c1]);
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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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