Grid/lib/tensors/Tensor_arith_add.h

#ifndef GRID_MATH_ARITH_ADD_H
#define GRID_MATH_ARITH_ADD_H

namespace Grid {

    
    ///////////////////////////////////////////////////////////////////////////////////////////////////
    /////////////////////////////////////////// ADD         ///////////////////////////////////////////
    ///////////////////////////////////////////////////////////////////////////////////////////////////
    

// ADD is simple for now; cannot mix types and straightforward template
// Scalar +/- Scalar
// Vector +/- Vector
// Matrix +/- Matrix
  template<class vtype,class ltype,class rtype> strong_inline void add(iScalar<vtype> * __restrict__ ret,
								const iScalar<ltype> * __restrict__ lhs,
								const iScalar<rtype> * __restrict__ rhs)
  {
    add(&ret->_internal,&lhs->_internal,&rhs->_internal);
  }
  template<class vtype,class ltype,class rtype,int N> strong_inline void add(iVector<vtype,N> * __restrict__ ret,
								      const iVector<ltype,N> * __restrict__ lhs,
								      const iVector<rtype,N> * __restrict__ rhs)
  {
    for(int c=0;c<N;c++){
      ret->_internal[c]=lhs->_internal[c]+rhs->_internal[c];
    }
    return;
  }
  
  template<class vtype,class ltype,class rtype, int N> strong_inline  void add(iMatrix<vtype,N> * __restrict__ ret,
									const iMatrix<ltype,N> * __restrict__ lhs,
									const iMatrix<rtype,N> * __restrict__ rhs)
  {
    for(int c2=0;c2<N;c2++){
      for(int c1=0;c1<N;c1++){
        add(&ret->_internal[c1][c2],&lhs->_internal[c1][c2],&rhs->_internal[c1][c2]);
      }}
    return;
  }
  template<class vtype,class ltype,class rtype, int N> strong_inline  void add(iMatrix<vtype,N> * __restrict__ ret,
									const iScalar<ltype>   * __restrict__ lhs,
									const iMatrix<rtype,N> * __restrict__ rhs)
  {
    for(int c2=0;c2<N;c2++){
      for(int c1=0;c1<N;c1++){
	if ( c1==c2)
	  add(&ret->_internal[c1][c2],&lhs->_internal,&rhs->_internal[c1][c2]);
	else
	  ret->_internal[c1][c2]=lhs->_internal[c1][c2];
      }}
    return;
  }
  template<class vtype,class ltype,class rtype, int N> strong_inline  void add(iMatrix<vtype,N> * __restrict__ ret,
									const iMatrix<ltype,N> * __restrict__ lhs,
									const iScalar<rtype>   * __restrict__ rhs)
  {
    for(int c2=0;c2<N;c2++){
      for(int c1=0;c1<N;c1++){
        if ( c1==c2)
	  add(&ret->_internal[c1][c2],&lhs->_internal[c1][c2],&rhs->_internal);
        else
	  ret->_internal[c1][c2]=lhs->_internal[c1][c2];
      }}
    return;
  }


  // + operator for scalar, vector, matrix
  template<class ltype,class rtype>
    //strong_inline auto operator + (iScalar<ltype>& lhs,iScalar<rtype>&& rhs) -> iScalar<decltype(lhs._internal + rhs._internal)>
    strong_inline auto operator + (const iScalar<ltype>& lhs,const iScalar<rtype>& rhs) -> iScalar<decltype(lhs._internal + rhs._internal)>
  {
    typedef iScalar<decltype(lhs._internal+rhs._internal)> ret_t;
    ret_t ret;
    add(&ret,&lhs,&rhs);
    return ret;
  }
  template<class ltype,class rtype,int N>
    strong_inline auto operator + (const iVector<ltype,N>& lhs,const iVector<rtype,N>& rhs) ->iVector<decltype(lhs._internal[0]+rhs._internal[0]),N>
    {
      typedef iVector<decltype(lhs._internal[0]+rhs._internal[0]),N> ret_t;
    ret_t ret;
    add(&ret,&lhs,&rhs);
    return ret;
    }
  template<class ltype,class rtype,int N>
    strong_inline auto operator + (const iMatrix<ltype,N>& lhs,const iMatrix<rtype,N>& rhs) ->iMatrix<decltype(lhs._internal[0][0]+rhs._internal[0][0]),N>
    {
      typedef iMatrix<decltype(lhs._internal[0][0]+rhs._internal[0][0]),N> ret_t;
      ret_t ret;
      add(&ret,&lhs,&rhs);
      return ret;
    }
  template<class ltype,class rtype,int N>
strong_inline auto operator + (const iScalar<ltype>& lhs,const iMatrix<rtype,N>& rhs)->iMatrix<decltype(lhs._internal+rhs._internal[0][0]),N>
    {
      typedef iMatrix<decltype(lhs._internal+rhs._internal[0][0]),N> ret_t;
      ret_t ret;
      add(&ret,&lhs,&rhs);
      return ret;
    }

  template<class ltype,class rtype,int N>
    strong_inline auto operator + (const iMatrix<ltype,N>& lhs,const iScalar<rtype>& rhs)->iMatrix<decltype(lhs._internal[0][0]+rhs._internal),N>
    {
      typedef iMatrix<decltype(lhs._internal[0][0]+rhs._internal),N> ret_t;
      ret_t ret;
      add(&ret,&lhs,&rhs);
      return ret;
    }



}

#endif