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52 lines
2.0 KiB
C++
52 lines
2.0 KiB
C++
#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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