mirror of
https://github.com/paboyle/Grid.git
synced 2024-11-14 01:35:36 +00:00
359 lines
13 KiB
C++
359 lines
13 KiB
C++
#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
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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<int Level> inline ComplexF traceIndex(const ComplexF arg) { return arg;}
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template<int Level> inline ComplexD traceIndex(const ComplexD arg) { return arg;}
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template<int Level> inline RealF traceIndex(const RealF arg) { return arg;}
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template<int Level> inline RealD traceIndex(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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/////////////////////////////////////
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// Alternate implementation .. count
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// indices from left. Annoying but
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// I'm working around compiler bugs in gcc and earlier icpc
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/////////////////////////////////////
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// Allow to recurse if vector, but never terminate on a vector
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// ltrace of a different index can distribute across the vector index in a replicated way
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// but we do not ltrace a vector index.
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template<int Level>
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class TensorIndexRecursion {
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public:
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////////////////////////////////////////////
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// Recursion for tracing a specific index
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////////////////////////////////////////////
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template<class vtype>
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static auto traceIndex(const iScalar<vtype> arg) -> iScalar<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal))>
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{
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iScalar<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal))> ret;
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ret._internal = TensorIndexRecursion<Level-1>::traceIndex(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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static auto traceIndex(const iVector<vtype,N> arg) -> iVector<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal[0])),N>
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{
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iVector<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal[0])),N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = TensorIndexRecursion<Level-1>::traceIndex(arg._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>
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static auto traceIndex(const iMatrix<vtype,N> arg) -> iMatrix<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal[0][0])),N>
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{
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iMatrix<decltype(TensorIndexRecursion<Level-1>::traceIndex(arg._internal[0][0])),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] = TensorIndexRecursion<Level-1>::traceIndex(arg._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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// Recursion for peeking a specific index
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////////////////////////////////////////////
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template<class vtype>
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static auto peekIndex(const iScalar<vtype> arg,int i) -> iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal,0))>
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{
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iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal,0))> ret;
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ret._internal = TensorIndexRecursion<Level-1>::peekIndex(arg._internal,i);
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return ret;
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}
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template<class vtype>
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static auto peekIndex(const iScalar<vtype> arg,int i,int j) -> iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal,0,0))>
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{
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iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal,0,0))> ret;
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ret._internal = TensorIndexRecursion<Level-1>::peekIndex(arg._internal,i,j);
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return ret;
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}
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template<class vtype,int N>
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static auto peekIndex(const iVector<vtype,N> arg,int ii) -> iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0],0)),N>
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{
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iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0],0)),N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = TensorIndexRecursion<Level-1>::peekIndex(arg._internal[i],ii);
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}
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return ret;
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}
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template<class vtype,int N>
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static auto peekIndex(const iVector<vtype,N> arg,int ii,int jj) -> iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0],0,0)),N>
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{
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iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0],0,0)),N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = TensorIndexRecursion<Level-1>::peekIndex(arg._internal[i],ii,jj);
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}
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return ret;
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}
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template<class vtype,int N>
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static auto peekIndex(const iMatrix<vtype,N> arg,int ii) -> iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0][0],0)),N>
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{
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iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0][0],0)),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] = TensorIndexRecursion<Level-1>::peekIndex(arg._internal[i][j],ii);
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}}
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return ret;
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}
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template<class vtype,int N>
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static auto peekIndex(const iMatrix<vtype,N> arg,int ii,int jj) -> iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0][0],0,0)),N>
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{
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iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(arg._internal[0][0],0,0)),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] = TensorIndexRecursion<Level-1>::peekIndex(arg._internal[i][j],ii,jj);
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}}
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return ret;
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}
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////////////////////////////////////////////
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// Recursion for poking a specific index
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////////////////////////////////////////////
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template<class vtype> inline static
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void pokeIndex(iScalar<vtype> &ret, const iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0))> &arg, int i)
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{
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal,arg._internal,i);
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}
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template<class vtype> inline static
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void pokeIndex(iScalar<vtype> &ret, const iScalar<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0,0))> &arg, int i,int j)
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{
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal,arg._internal,i,j);
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}
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template<class vtype,int N> inline static
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void pokeIndex(iVector<vtype,N> &ret, const iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0)),N> &arg, int i)
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{
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for(int ii=0;ii<N;ii++){
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal[ii],arg._internal[ii],i);
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}
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}
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template<class vtype,int N> inline static
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void pokeIndex(iVector<vtype,N> &ret, const iVector<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0)),N> &arg, int i,int j)
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{
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for(int ii=0;ii<N;ii++){
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal[ii],arg._internal[ii],i,j);
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}
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}
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template<class vtype,int N> inline static
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void pokeIndex(iMatrix<vtype,N> &ret, const iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0)),N> &arg, int i)
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{
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for(int ii=0;ii<N;ii++){
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for(int jj=0;jj<N;jj++){
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal[ii][jj],arg._internal[ii][jj],i);
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}}
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}
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template<class vtype,int N> inline static
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void pokeIndex(iMatrix<vtype,N> &ret, const iMatrix<decltype(TensorIndexRecursion<Level-1>::peekIndex(ret._internal,0)),N> &arg, int i,int j)
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{
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for(int ii=0;ii<N;ii++){
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for(int jj=0;jj<N;jj++){
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TensorIndexRecursion<Level-1>::pokeIndex(ret._internal[ii][jj],arg._internal[ii][jj],i,j);
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}}
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}
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////////////////////////////////////////////
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// Recursion for transposing a specific index
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////////////////////////////////////////////
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template<class vtype>
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static auto transposeIndex(const iScalar<vtype> arg) -> iScalar<vtype>
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{
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iScalar<vtype> ret;
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ret._internal = TensorIndexRecursion<Level-1>::transposeIndex(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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static auto transposeIndex(const iVector<vtype,N> arg) -> iVector<vtype,N>
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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] = TensorIndexRecursion<Level-1>::transposeIndex(arg._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>
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static auto transposeIndex(const iMatrix<vtype,N> arg) -> iMatrix<vtype,N>
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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] = TensorIndexRecursion<Level-1>::transposeIndex(arg._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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////////////////////////////
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// strip const & ref quali's
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////////////////////////////
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#define RemoveCRV(a) typename std::remove_const<typename std::remove_reference<decltype(a)>::type>::type
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template<>
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class TensorIndexRecursion<0> {
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public:
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/////////////////////////////////////////
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// Ends recursion for trace (scalar/vector/matrix)
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/////////////////////////////////////////
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template<class vtype>
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static auto traceIndex(const iScalar<vtype> arg) -> iScalar<RemoveCRV(arg._internal)>
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{
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iScalar<RemoveCRV(arg._internal)> ret;
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ret._internal = 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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static auto traceIndex(const iVector<vtype,N> arg) -> iScalar<RemoveCRV(arg._internal[0])>
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{
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iScalar<RemoveCRV(arg._internal[0])> ret;
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ret._internal=zero;
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for(int i=0;i<N;i++){
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ret._internal = ret._internal+ arg._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>
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static auto traceIndex(const iMatrix<vtype,N> arg) -> iScalar<RemoveCRV(arg._internal[0][0])>
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{
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iScalar<RemoveCRV(arg._internal[0][0])> ret;
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ret=zero;
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for(int i=0;i<N;i++){
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ret._internal = ret._internal+arg._internal[i][i];
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}
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return ret;
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}
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/////////////////////////////////////////
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// Ends recursion for transpose scalar/vector/matrix
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/////////////////////////////////////////
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template<class vtype>
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static auto transposeIndex(const iScalar<vtype> arg) -> iScalar<vtype>
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{
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iScalar<vtype> ret;
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ret._internal = 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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static auto transposeIndex(const iVector<vtype,N> arg) -> iVector<vtype,N>
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{
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iScalar<vtype> ret;
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ret._internal=zero;
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for(int i=0;i<N;i++){
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ret._internal = ret._internal+ arg._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>
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static auto transposeIndex(const iMatrix<vtype,N> arg) -> iMatrix<vtype,N>
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{
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iScalar<vtype> ret;
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ret=zero;
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for(int i=0;i<N;i++){
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ret._internal = ret._internal+arg._internal[i][i];
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}
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return ret;
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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// End recursion for peeking a specific index; single index on vector, double index on matrix
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////////////////////////////////////////////////////////////////////////////////////////////////////////////////
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template<class vtype,int N>
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static auto peekIndex(const iVector<vtype,N> arg,int ii) -> iScalar<vtype>
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{
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iScalar<vtype> ret;
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ret._internal = arg._internal[ii];
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return ret;
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}
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template<class vtype,int N>
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static auto peekIndex(const iMatrix<vtype,N> arg,int ii,int jj) -> iScalar<vtype>
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{
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iScalar<vtype> ret;
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ret._internal = arg._internal[ii][jj];
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return ret;
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}
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// Vector poke, one index
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template<class vtype,int N> inline static
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void pokeIndex(iVector<vtype,N> &ret, const iScalar<vtype> &arg,int i)
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{
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ret._internal[i] = arg._internal;
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}
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// Matrix poke two indices
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template<class vtype,int N> inline static
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void pokeIndex(iMatrix<vtype,N> &ret, const iScalar<vtype> &arg,int i,int j)
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{
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ret._internal[i][j] = arg._internal;
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}
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};
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////////////////////////////////////////////////////////////////////////////////////////////////////////
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// External wrappers
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////////////////////////////////////////////////////////////////////////////////////////////////////////
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template<int Level,class vtype> inline auto traceIndex (const vtype &arg) -> RemoveCRV(TensorIndexRecursion<Level>::traceIndex(arg))
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{
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RemoveCRV(TensorIndexRecursion<Level>::traceIndex(arg)) ret;
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ret=TensorIndexRecursion<Level>::traceIndex(arg);
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return ret;
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}
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template<int Level,class vtype> inline auto transposeIndex (const vtype &arg) -> RemoveCRV(TensorIndexRecursion<Level>::transposeIndex(arg))
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{
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RemoveCRV(TensorIndexRecursion<Level>::transposeIndex(arg)) ret;
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ret=TensorIndexRecursion<Level>::transposeIndex(arg);
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return ret;
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}
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template<int Level,class vtype> inline auto peekIndex (const vtype &arg,int i) -> RemoveCRV(TensorIndexRecursion<Level>::peekIndex(arg,0))
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{
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RemoveCRV(TensorIndexRecursion<Level>::peekIndex(arg,0)) ret;
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ret=TensorIndexRecursion<Level>::peekIndex(arg,i);
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return ret;
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}
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template<int Level,class vtype> inline auto peekIndex (const vtype &arg,int i,int j) -> RemoveCRV(TensorIndexRecursion<Level>::peekIndex(arg,0,0))
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{
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RemoveCRV(TensorIndexRecursion<Level>::peekIndex(arg,0,0)) ret;
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ret=TensorIndexRecursion<Level>::peekIndex(arg,i,j);
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return ret;
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}
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template<int Level,class vtype> inline
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void pokeIndex (vtype &ret,const decltype(TensorIndexRecursion<Level>::peekIndex(ret,0)) &arg,int i)
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{
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TensorIndexRecursion<Level>::pokeIndex(ret,arg,i);
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}
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template<int Level,class vtype> inline
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void pokeIndex (vtype &ret,const decltype(TensorIndexRecursion<Level>::peekIndex(ret,0,0)) &arg,int i,int j)
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{
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TensorIndexRecursion<Level>::pokeIndex(ret,arg,i,j);
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}
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#undef RemoveCRV
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}
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#endif
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