diff --git a/src/include/multi_array_operation.cc.h b/src/include/multi_array_operation.cc.h
index 6096506..d1684de 100644
--- a/src/include/multi_array_operation.cc.h
+++ b/src/include/multi_array_operation.cc.h
@@ -222,7 +222,7 @@ namespace MultiArrayTools
     {
 	return RootSumN<sizeof...(Ops)-1>::get(last,mOps);
     }
-    
+
     template <typename T, class... Ops>
     inline MOp<T,Ops...>& MOp<T,Ops...>::set(ExtType last)
     {
@@ -390,6 +390,13 @@ namespace MultiArrayTools
 	return mDataPtr[pos.val()/*+mOff*/];
     }
 
+    template <typename T, class... Ranges>
+    template <typename V, class ET>
+    inline const V& ConstOperationRoot<T,Ranges...>::vget(ET pos) const
+    {
+	return *reinterpret_cast<const V*>(mDataPtr+pos.val());
+    }
+
     template <typename T, class... Ranges>
     template <class ET>
     inline ConstOperationRoot<T,Ranges...>& ConstOperationRoot<T,Ranges...>::set(ET pos)
@@ -437,6 +444,14 @@ namespace MultiArrayTools
 	return static_cast<T>( mOp.get(pos) );
     }
 
+    template <typename T, class Op>
+    template <typename V, class ET>
+    inline V StaticCast<T,Op>::vget(ET pos) const
+    {
+	assert(0); // !!!
+	return V();
+    }
+
     template <typename T, class Op>
     template <class ET>
     inline StaticCast<T,Op>& StaticCast<T,Op>::set(ET pos)
@@ -481,6 +496,15 @@ namespace MultiArrayTools
 	return (mWorkIndex = pos.val()).meta();
     }
 
+    template <class Range>
+    template <typename V, class ET>
+    inline V
+    MetaOperationRoot<Range>::vget(ET pos) const
+    {
+	assert(0); // !!!
+	return V();
+    }
+
     template <class Range>
     template <class ET>
     inline MetaOperationRoot<Range>& MetaOperationRoot<Range>::set(ET pos)
@@ -633,6 +657,13 @@ namespace MultiArrayTools
 	return mDataPtr[pos.val()];
     }
 
+    template <typename T, class... Ranges>
+    template <typename V, class ET>
+    inline V& OperationRoot<T,Ranges...>::vget(ET pos) const
+    {
+	return *reinterpret_cast<V*>(mDataPtr + pos.val());
+    }
+
     template <typename T, class... Ranges>
     template <class ET>
     inline OperationRoot<T,Ranges...>& OperationRoot<T,Ranges...>::set(ET pos)
@@ -773,6 +804,13 @@ namespace MultiArrayTools
 	return mDataPtr[pos.val()/*+mOff*/];
     }
 
+    template <typename T, class... Ranges>
+    template <typename V, class ET>
+    inline V& ParallelOperationRoot<T,Ranges...>::vget(ET pos) const
+    {
+	return *reinterpret_cast<V*>(mDataPtr+pos.val());
+    }
+
     template <typename T, class... Ranges>
     template <class ET>
     inline ParallelOperationRoot<T,Ranges...>& ParallelOperationRoot<T,Ranges...>::set(ET pos)
@@ -818,6 +856,13 @@ namespace MultiArrayTools
 	return mVal;
     }
 
+    template <typename T>
+    template <typename V, class ET>
+    inline V OperationValue<T>::vget(ET pos) const
+    {
+	return static_cast<V>(mVal); // implement???!!!
+    }
+
     template <typename T>
     template <class ET>
     inline OperationValue<T>& OperationValue<T>::set(ET pos)
@@ -868,6 +913,15 @@ namespace MultiArrayTools
 	    template mkOpExpr<SIZE,ET,OpTuple,OpFunction>(mF, pos, mOps);
     }
 
+    template <typename T, class OpFunction, class... Ops>
+    template <typename V, class ET>
+    inline auto Operation<T,OpFunction,Ops...>::vget(ET pos) const
+    {
+	typedef std::tuple<Ops...> OpTuple;
+	return PackNum<sizeof...(Ops)-1>::
+	    template mkVOpExpr<SIZE,V,ET,OpTuple,OpFunction>(mF, pos, mOps); // implement!!!
+    }
+
     template <typename T, class OpFunction, class... Ops>
     template <class ET>
     inline Operation<T,OpFunction,Ops...>& Operation<T,OpFunction,Ops...>::set(ET pos)
@@ -911,6 +965,14 @@ namespace MultiArrayTools
 	return mOp.template get<ET>(pos);
     }
 
+    template <typename T, class Op, class IndexType>
+    template <typename V, class ET>
+    inline auto Contraction<T,Op,IndexType>::vget(ET pos) const
+        -> decltype(mOp.template vget<V,ET>(pos))
+    {
+	return mOp.template vget<V,ET>(pos);
+    }
+
     template <typename T, class Op, class IndexType>
     template <class ET>
     inline Contraction<T,Op,IndexType>& Contraction<T,Op,IndexType>::set(ET pos)
diff --git a/src/include/multi_array_operation.h b/src/include/multi_array_operation.h
index 871db03..280c1cc 100644
--- a/src/include/multi_array_operation.h
+++ b/src/include/multi_array_operation.h
@@ -203,6 +203,7 @@ namespace MultiArrayTools
                            EXTERN = 0,
                            TARGET = 1
     };
+
     
     template <typename T, class Target, class OpClass, OpIndexAff OIA=OpIndexAff::EXTERN>
     class AssignmentExpr2 : public ExpressionBase
@@ -261,6 +262,10 @@ namespace MultiArrayTools
 	MOp& operator=(MOp&& in) = default;
 
         inline size_t get(ExtType last) const;
+
+	template <typename V>
+	inline size_t vget(ExtType last) const { return get(last); }
+	
 	inline MOp& set(ExtType last);
         auto rootSteps(std::intptr_t iPtrNum = 0) const -> ExtType;
 
@@ -301,6 +306,10 @@ namespace MultiArrayTools
 
         inline void operator()(size_t start = 0);
         inline void get(ExtType last);
+
+	template <typename V>
+        inline void vget(ExtType last) { get(last); }
+	
         inline void operator()(size_t start, ExtType last);
         auto rootSteps(std::intptr_t iPtrNum = 0) const -> ExtType;
 
@@ -388,6 +397,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline const T& get(ET pos) const;
 
+	template <typename V, class ET>
+	inline const V& vget(ET pos) const;
+	
 	template <class ET>
 	inline ConstOperationRoot& set(ET pos);
 
@@ -427,6 +439,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline T get(ET pos) const;
 
+	template <typename V, class ET>
+	inline V vget(ET pos) const;
+
 	template <class ET>
 	inline StaticCast& set(ET pos);
 
@@ -462,6 +477,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline value_type get(ET pos) const;
 
+	template <typename V, class ET>
+	inline V vget(ET pos) const;
+
 	template <class ET>
 	inline MetaOperationRoot& set(ET pos);
 
@@ -541,6 +559,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline T& get(ET pos) const;
 
+	template <typename V, class ET>
+	inline V& vget(ET pos) const;
+	
 	template <class ET>
 	inline OperationRoot& set(ET pos);
 
@@ -612,6 +633,9 @@ namespace MultiArrayTools
         
 	template <class ET>
 	inline T& get(ET pos) const;
+	 
+	template <typename V, class ET>
+	inline V& vget(ET pos) const;
 
 	template <class ET>
 	inline ParallelOperationRoot& set(ET pos);
@@ -642,6 +666,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline const T& get(ET pos) const;
 
+	template <typename V, class ET>
+	inline V vget(ET pos) const;
+
 	template <class ET>
 	inline OperationValue& set(ET pos);
 
@@ -682,6 +709,9 @@ namespace MultiArrayTools
 	template <class ET>
 	inline auto get(ET pos) const;
 
+	template <typename V, class ET>
+	inline auto vget(ET pos) const;
+
 	template <class ET>
 	inline Operation& set(ET pos);
 
@@ -754,6 +784,10 @@ namespace MultiArrayTools
 	inline auto get(ET pos) const
             -> decltype(mOp.template get<ET>(pos));
 
+	template <typename V, class ET>
+	inline auto vget(ET pos) const
+            -> decltype(mOp.template vget<V,ET>(pos));
+
 	template <class ET>
 	inline Contraction& set(ET pos);
 
diff --git a/src/include/pack_num.h b/src/include/pack_num.h
index 5a185c5..7b6af61 100644
--- a/src/include/pack_num.h
+++ b/src/include/pack_num.h
@@ -81,6 +81,17 @@ namespace MultiArrayHelper
 		( f, pos, ops, std::get<N>(ops).get(Getter<NEXT>::template getX<ETuple>( pos )), args...);
 	}
 
+	template <size_t LAST, typename V, class ETuple, class OpTuple, class OpFunction, typename... Args>
+	static inline auto mkVOpExpr(std::shared_ptr<OpFunction> f, const ETuple& pos, const OpTuple& ops, Args... args)
+	{
+	    typedef typename std::remove_reference<decltype(std::get<N>(ops))>::type NextOpType;
+	    static_assert(LAST >= NextOpType::SIZE, "inconsistent array positions");
+	    static constexpr size_t NEXT = LAST - NextOpType::SIZE;
+	    typedef decltype(std::get<N>(ops).template vget<V>(Getter<NEXT>::template getX<ETuple>( pos ))) ArgT;
+	    return PackNum<N-1>::template mkVOpExpr<NEXT,ETuple,OpTuple,OpFunction,ArgT,Args...>
+		( f, pos, ops, std::get<N>(ops).template vget<V>(Getter<NEXT>::template getX<ETuple>( pos )), args...);
+	}
+
 	template <class OpTuple, class Expr>
 	static auto mkLoop( const OpTuple& ot, Expr exp )
 	    -> decltype(std::get<N>(ot).loop( PackNum<N-1>::mkLoop(ot,exp) ))
@@ -168,6 +179,16 @@ namespace MultiArrayHelper
 	    //return OpFunction::apply(std::get<0>(ops).get(Getter<0>::template getX<ETuple>( pos )), args...);
 	}
 
+	template <size_t LAST, typename V, class ETuple, class OpTuple, class OpFunction, typename... Args>
+	static inline auto mkVOpExpr(std::shared_ptr<OpFunction> f, const ETuple& pos, const OpTuple& ops, const Args&... args)
+	{
+	    typedef typename std::remove_reference<decltype(std::get<0>(ops))>::type NextOpType;
+	    static constexpr size_t NEXT = LAST - NextOpType::SIZE;
+	    static_assert(NEXT == 0, "inconsistent array positions");
+	    typedef decltype(std::get<0>(ops).template vget<V>(Getter<0>::template getX<ETuple>( pos ))) ArgT;
+	    return Application<OpFunction::FISSTATIC>::template apply<OpFunction,ArgT,Args...>(f, std::get<0>(ops).template vget<V>(Getter<0>::template getX<ETuple>( pos )), args...);
+	}
+
 	template <class OpTuple, class Expr>
 	static auto mkLoop( const OpTuple& ot, Expr exp )
 	    -> decltype(std::get<0>(ot).loop( exp ))