diff --git a/src/include/ranges/index_format.cc.h b/src/include/ranges/index_format.cc.h
new file mode 100644
index 0000000..21eee1b
--- /dev/null
+++ b/src/include/ranges/index_format.cc.h
@@ -0,0 +1,128 @@
+
+#ifndef __cxz_index_format_cc_h__
+#define __cxz_index_format_cc_h__
+
+#include "index_format.h"
+
+namespace CNORXZ
+{
+    /***************
+     *   MFormat   *
+     ***************/
+    
+    template <SizeT N>
+    constexpr MFormat<N>::MFormat(const Arr<UPos,N>& b) :
+	mB(b)
+    {}
+
+    template <SizeT N>
+    template <class FormatT>
+    constexpr MFormat<N>::MFormat(const FormatT& f)
+    {
+	static_assert(f.size() == N, "try to assign format of wrong dimension");
+	iter<0,N>( [&](auto i) { mB[i] = f[i]; }, NoF{} );
+    }
+
+    template <SizeT N>
+    const Arr<UPos,N>& MFormat<N>::all() const
+    {
+	return mB;
+    }
+
+    template <SizeT N>
+    constexpr decltype(auto) MFormat<N>::size() const
+    {
+	return std::integral_constant<SizeT,N>{};
+    }
+
+    template <SizeT N>
+    template <SizeT I>
+    constexpr decltype(auto) MFormat<N>::get(std::integral_constant<SizeT,I> i) const
+    {
+	return std::get<I>(mB);
+    }
+
+    template <SizeT N>
+    template <SizeT I>
+    constexpr decltype(auto) MFormat<N>::operator[](std::integral_constant<SizeT,I> i) const
+    {
+	return get(i);
+    }
+
+    
+    /****************
+     *   GMFormat   *
+     ****************/
+
+    template <class... PosT>
+    constexpr GMFormat<PosT...>::GMFormat(const Tuple<PosT...>& b) :
+	mB(b)
+    {}
+
+    template <class... PosT>
+    template <class FormatT>
+    constexpr GMFormat<PosT...>::GMFormat(const FormatT& f)
+    {
+	static_assert(f.size() == size(), "try to assign format of wrong dimension");
+	iter<0,sizeof...(PosT)>( [&](auto i) { mB[i] = f[i]; }, NoF{} );
+    }
+
+    template <class... PosT>
+    const Tuple<PosT...>& GMFormat<PosT...>::all() const
+    {
+	return mB;
+    }
+
+    template <class... PosT>
+    constexpr decltype(auto) GMFormat<PosT...>::size() const
+    {
+	return std::integral_constant<SizeT,sizeof...(PosT)>{};
+    }
+
+    template <class... PosT>
+    template <SizeT I>
+    constexpr decltype(auto) GMFormat<PosT...>::get(std::integral_constant<SizeT,I> i) const
+    {
+	return std::get<I>(mB);
+    }
+
+    template <class... PosT>
+    template <SizeT I>
+    constexpr decltype(auto) GMFormat<PosT...>::operator[](std::integral_constant<SizeT,I> i) const
+    {
+	return get(i);
+    }
+
+    /***************
+     *   YFormat   *
+     ***************/
+
+    template <class FormatT>
+    YFormat::YFormat(const FormatT& f) : mB(f.size())
+    {
+	// replace by check if integral constant
+	if constexpr(is_static_format<FormatT>::value){
+	    iter<0,f.size()>( [&](auto i) { mB[i] = f[i]; }, NoF{} );
+	}
+	else {
+	    for(SizeT i = 0; i != mB.size(); ++i){
+		mB[i] = f[i];
+	    }
+	}
+    }
+
+    template <SizeT I>
+    const UPos& YFormat::get(std::integral_constant<SizeT,I> i) const
+    {
+	return mB[i];
+    }
+	
+    template <SizeT I>
+    const UPos& YFormat::operator[](std::integral_constant<SizeT,I> i) const
+    {
+	return mB[i];
+    }
+
+}
+
+#endif
diff --git a/src/include/ranges/index_format.h b/src/include/ranges/index_format.h
new file mode 100644
index 0000000..07485df
--- /dev/null
+++ b/src/include/ranges/index_format.h
@@ -0,0 +1,89 @@
+
+#ifndef __cxz_index_format_h__
+#define __cxz_index_format_h__
+
+#include "base/base.h"
+#include "xpr/xpr.h"
+
+namespace CNORXZ
+{
+    template <class FormatT> struct is_static_format { CXZ_CVAL_FALSE; };
+    
+    template <SizeT N>
+    class MFormat
+    {
+    public:
+	SP_DEFAULT_MEMBERS(constexpr,MFormat);
+	explicit constexpr MFormat(const Arr<UPos,N>& b);
+
+	template <class FormatT>
+	constexpr MFormat(const FormatT& f);
+
+	const Arr<UPos,N>& all() const;
+	constexpr decltype(auto) size() const;
+	
+	template <SizeT I>
+	constexpr decltype(auto) get(std::integral_constant<SizeT,I> i) const;
+
+	template <SizeT I>
+	constexpr decltype(auto) operator[](std::integral_constant<SizeT,I> i) const;
+
+    private:
+	Arr<UPos,N> mB;
+
+    };
+
+    template <SizeT N> struct is_static_format<MFormat<N>> { CXZ_CVAL_TRUE; };
+
+    template <class... PosT>
+    class GMFormat
+    {
+    public:
+	SP_DEFAULT_MEMBERS(constexpr,GMFormat);
+	explicit constexpr GMFormat(const Tuple<PosT...>& b);
+
+	template <class FormatT>
+	constexpr GMFormat(const FormatT& f);
+
+	const Tuple<PosT...>& all() const;
+	constexpr decltype(auto) size() const;
+
+	template <SizeT I>
+	constexpr decltype(auto) get(std::integral_constant<SizeT,I> i) const;
+
+	template <SizeT I>
+	constexpr decltype(auto) operator[](std::integral_constant<SizeT,I> i) const;
+	
+    private:
+	Tuple<PosT...> mB;
+    };
+
+    template <class... PosT> struct is_static_format<GMFormat<PosT...>> { CXZ_CVAL_TRUE; };
+
+    class YFormat
+    {
+    public:
+	DEFAULT_MEMBERS(YFormat);
+	explicit YFormat(const Vector<UPos>& b);
+
+	template <class FormatT>
+	YFormat(const FormatT& f);
+
+	const Vector<UPos>& all() const;
+	SizeT size() const;
+
+	template <SizeT I>
+	const UPos& get(std::integral_constant<SizeT,I> i) const;
+	
+	template <SizeT I>
+	const UPos& operator[](std::integral_constant<SizeT,I> i) const;
+
+	const UPos& get(SizeT i) const;
+	const UPos& operator[](SizeT i) const;
+	
+    private:
+	Vector<UPos> mB;
+    };
+}
+
+#endif
diff --git a/src/include/ranges/ranges.cc.h b/src/include/ranges/ranges.cc.h
index 59de5f9..7537d90 100644
--- a/src/include/ranges/ranges.cc.h
+++ b/src/include/ranges/ranges.cc.h
@@ -9,3 +9,4 @@
 #include "lindex.cc.h"
 #include "index_mul.cc.h"
 #include "index_pack.cc.h"
+#include "index_format.cc.h"
diff --git a/src/include/ranges/ranges.h b/src/include/ranges/ranges.h
index 801ad48..380ece0 100644
--- a/src/include/ranges/ranges.h
+++ b/src/include/ranges/ranges.h
@@ -11,5 +11,6 @@
 #include "lindex.h"
 #include "index_mul.h"
 #include "index_pack.h"
+#include "index_format.h"
 
 #include "ranges.cc.h"
diff --git a/src/lib/CMakeLists.txt b/src/lib/CMakeLists.txt
index 0d469b1..f405cfc 100644
--- a/src/lib/CMakeLists.txt
+++ b/src/lib/CMakeLists.txt
@@ -7,6 +7,7 @@ set(libcnorxz_a_SOURCES
   ${CMAKE_SOURCE_DIR}/src/lib/ranges/crange.cc
   ${CMAKE_SOURCE_DIR}/src/lib/ranges/dindex.cc
   ${CMAKE_SOURCE_DIR}/src/lib/ranges/index_pack.cc
+  ${CMAKE_SOURCE_DIR}/src/lib/ranges/index_format.cc
   )
 
 add_library(cnorxz_obj OBJECT
diff --git a/src/lib/ranges/index_format.cc b/src/lib/ranges/index_format.cc
new file mode 100644
index 0000000..33177f2
--- /dev/null
+++ b/src/lib/ranges/index_format.cc
@@ -0,0 +1,30 @@
+
+#include "ranges/index_format.h"
+
+namespace CNORXZ
+{
+    YFormat::YFormat(const Vector<UPos>& b) :
+	mB(b)
+    {}
+
+    const Vector<UPos>& YFormat::all() const
+    {
+	return mB;
+    }
+
+    SizeT YFormat::size() const
+    {
+	return mB.size();
+    }
+
+    const UPos& YFormat::get(SizeT i) const
+    {
+	return mB[i];
+    }
+
+    const UPos& YFormat::operator[](SizeT i) const
+    {
+	return mB[i];
+    }
+
+}