Squashed 'third_party/boostorg/ublas/' content from commit e8607b3

Change-Id: Ia06afd642157a24e17fa9ddea28fb8601810b78e
git-subtree-dir: third_party/boostorg/ublas
git-subtree-split: e8607b3eea238e590eca93bfe498c21f470155c1
diff --git a/include/boost/numeric/ublas/detail/raw.hpp b/include/boost/numeric/ublas/detail/raw.hpp
new file mode 100644
index 0000000..c36c8b0
--- /dev/null
+++ b/include/boost/numeric/ublas/detail/raw.hpp
@@ -0,0 +1,878 @@
+//
+//  Copyright (c) 2002-2003
+//  Toon Knapen, Kresimir Fresl, Joerg Walter
+//
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+//
+//
+
+#ifndef _BOOST_UBLAS_RAW_
+#define _BOOST_UBLAS_RAW_
+
+namespace boost { namespace numeric { namespace ublas { namespace raw {
+
+    // We need data_const() mostly due to MSVC 6.0.
+    // But how shall we write portable code otherwise?
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int size( const V &v ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int size( const vector_reference<V> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size1( const M &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size2( const M &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size1( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size2( const matrix_reference<M> &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m, row_major_tag ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m, column_major_tag ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const matrix_reference<M> &m ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const V &v ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const vector_slice<V> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride( const matrix_column<M> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const M &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const M &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_reference<M> &m ) ;
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    int stride1( const c_matrix<T, M, N> &m ) ;
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    int stride2( const c_matrix<T, M, N> &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_slice<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_slice<M> &m ) ;
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::const_pointer data( const MV &mv ) ;
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::const_pointer data_const( const MV &mv ) ;
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::pointer data( MV &mv ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_reference<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data_const( const vector_reference<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_reference<V> &v ) ;
+
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer data( const c_vector<T, N> &v ) ;
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer data_const( const c_vector<T, N> &v ) ;
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::pointer data( c_vector<T, N> &v ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_slice<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data_const( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data_const( const vector_slice<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_slice<V> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data_const( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_reference<M> &m ) ;
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::array_type::const_pointer data( const c_matrix<T, M, N> &m ) ;
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::array_type::const_pointer data_const( const c_matrix<T, M, N> &m ) ;
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::pointer data( c_matrix<T, M, N> &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data( const matrix_column<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data_const( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data_const( const matrix_column<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_column<M> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data( const matrix_slice<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data_const( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer data_const( const matrix_slice<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_slice<M> &m ) ;
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::const_pointer base( const MV &mv ) ;
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::const_pointer base_const( const MV &mv ) ;
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::pointer base( MV &mv ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base( const vector_reference<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base_const( const vector_reference<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_reference<V> &v ) ;
+
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer base( const c_vector<T, N> &v ) ;
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer base_const( const c_vector<T, N> &v ) ;
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::pointer base( c_vector<T, N> &v ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base( const vector_slice<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base_const( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer base_const( const vector_slice<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_slice<V> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base_const( const matrix_reference<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_reference<M> &m ) ;
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::array_type::const_pointer base( const c_matrix<T, M, N> &m ) ;
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::array_type::const_pointer base_const( const c_matrix<T, M, N> &m ) ;
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::pointer base( c_matrix<T, M, N> &m ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base( const matrix_column<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base_const( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base_const( const matrix_column<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_column<M> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base( const matrix_slice<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base_const( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::array_type::const_pointer base_const( const matrix_slice<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_slice<M> &m ) ;
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::size_type start( const MV &mv ) ;
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::size_type start( const vector_range<V> &v ) ;
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::size_type start( const vector_slice<V> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_row<M> &v ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_column<M> &v ) ;
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_range<M> &m ) ;
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_slice<M> &m ) ;
+
+
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int size( const V &v ) {
+        return v.size() ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int size( const vector_reference<V> &v ) {
+        return size( v ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size1( const M &m ) {
+        return m.size1() ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size2( const M &m ) {
+        return m.size2() ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size1( const matrix_reference<M> &m ) {
+        return size1( m.expression() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int size2( const matrix_reference<M> &m ) {
+        return size2( m.expression() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m, row_major_tag ) {
+        return m.size2() ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m, column_major_tag ) {
+        return m.size1() ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const M &m ) {
+        return leading_dimension( m, typename M::orientation_category() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int leading_dimension( const matrix_reference<M> &m ) {
+        return leading_dimension( m.expression() ) ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const V &v ) {
+        return 1 ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const vector_range<V> &v ) {
+        return stride( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    int stride( const vector_slice<V> &v ) {
+        return v.stride() * stride( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride( const matrix_row<M> &v ) {
+        return stride2( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride( const matrix_column<M> &v ) {
+        return stride1( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const M &m ) {
+        typedef typename M::functor_type functor_type;
+        return functor_type::one1( m.size1(), m.size2() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const M &m ) {
+        typedef typename M::functor_type functor_type;
+        return functor_type::one2( m.size1(), m.size2() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_reference<M> &m ) {
+        return stride1( m.expression() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_reference<M> &m ) {
+        return stride2( m.expression() ) ;
+    }
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    int stride1( const c_matrix<T, M, N> &m ) {
+        return N ;
+    }
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    int stride2( const c_matrix<T, M, N> &m ) {
+        return 1 ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_range<M> &m ) {
+        return stride1( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride1( const matrix_slice<M> &m ) {
+        return m.stride1() * stride1( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_range<M> &m ) {
+        return stride2( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    int stride2( const matrix_slice<M> &m ) {
+        return m.stride2() * stride2( m.data() ) ;
+    }
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::array_type::const_pointer data( const MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::array_type::const_pointer data_const( const MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::pointer data( MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_reference<V> &v ) {
+        return data( v.expression () ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data_const( const vector_reference<V> &v ) {
+        return data_const( v.expression () ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_reference<V> &v ) {
+        return data( v.expression () ) ;
+    }
+
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer data( const c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::array_type::const_pointer data_const( const c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::pointer data( c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_range<V> &v ) {
+        return data( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data( const vector_slice<V> &v ) {
+        return data( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::array_type::const_pointer data_const( const vector_range<V> &v ) {
+        return data_const( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer data_const( const vector_slice<V> &v ) {
+        return data_const( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_range<V> &v ) {
+        return data( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer data( vector_slice<V> &v ) {
+        return data( v.data() ) + v.start() * stride (v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data( const matrix_reference<M> &m ) {
+        return data( m.expression () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data_const( const matrix_reference<M> &m ) {
+        return data_const( m.expression () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_reference<M> &m ) {
+        return data( m.expression () ) ;
+    }
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::const_pointer data( const c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::const_pointer data_const( const c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::pointer data( c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data( const matrix_row<M> &v ) {
+        return data( v.data() ) + v.index() * stride1( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data( const matrix_column<M> &v ) {
+        return data( v.data() ) + v.index() * stride2( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data_const( const matrix_row<M> &v ) {
+        return data_const( v.data() ) + v.index() * stride1( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data_const( const matrix_column<M> &v ) {
+        return data_const( v.data() ) + v.index() * stride2( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_row<M> &v ) {
+        return data( v.data() ) + v.index() * stride1( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_column<M> &v ) {
+        return data( v.data() ) + v.index() * stride2( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data( const matrix_range<M> &m ) {
+        return data( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data( const matrix_slice<M> &m ) {
+        return data( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data_const( const matrix_range<M> &m ) {
+        return data_const( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer data_const( const matrix_slice<M> &m ) {
+        return data_const( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_range<M> &m ) {
+        return data( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer data( matrix_slice<M> &m ) {
+        return data( m.data() ) + m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::const_pointer base( const MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::const_pointer base_const( const MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::array_type::pointer base( MV &mv ) {
+        return &mv.data().begin()[0] ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base( const vector_reference<V> &v ) {
+        return base( v.expression () ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base_const( const vector_reference<V> &v ) {
+        return base_const( v.expression () ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_reference<V> &v ) {
+        return base( v.expression () ) ;
+    }
+
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::const_pointer base( const c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::array_type::const_pointer base_const( const c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+    template < typename T, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_vector<T, N>::pointer base( c_vector<T, N> &v ) {
+        return v.data() ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base( const vector_range<V> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base( const vector_slice<V> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base_const( const vector_range<V> &v ) {
+        return base_const( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::const_pointer base_const( const vector_slice<V> &v ) {
+        return base_const( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_range<V> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::array_type::pointer base( vector_slice<V> &v ) {
+        return base( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base( const matrix_reference<M> &m ) {
+        return base( m.expression () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base_const( const matrix_reference<M> &m ) {
+        return base_const( m.expression () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_reference<M> &m ) {
+        return base( m.expression () ) ;
+    }
+
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::const_pointer base( const c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::array_type::const_pointer base_const( const c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+    template < typename T, std::size_t M, std::size_t N >
+    BOOST_UBLAS_INLINE
+    typename c_matrix<T, M, N>::pointer base( c_matrix<T, M, N> &m ) {
+        return m.data() ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base( const matrix_row<M> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base( const matrix_column<M> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base_const( const matrix_row<M> &v ) {
+        return base_const( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base_const( const matrix_column<M> &v ) {
+        return base_const( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_row<M> &v ) {
+        return base( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_column<M> &v ) {
+        return base( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base( const matrix_range<M> &m ) {
+        return base( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base( const matrix_slice<M> &m ) {
+        return base( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base_const( const matrix_range<M> &m ) {
+        return base_const( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::const_pointer base_const( const matrix_slice<M> &m ) {
+        return base_const( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_range<M> &m ) {
+        return base( m.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::array_type::pointer base( matrix_slice<M> &m ) {
+        return base( m.data() ) ;
+    }
+
+    template < typename MV >
+    BOOST_UBLAS_INLINE
+    typename MV::size_type start( const MV &mv ) {
+        return 0 ;
+    }
+
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::size_type start( const vector_range<V> &v ) {
+        return v.start() * stride (v.data() ) ;
+    }
+    template < typename V >
+    BOOST_UBLAS_INLINE
+    typename V::size_type start( const vector_slice<V> &v ) {
+        return v.start() * stride (v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_row<M> &v ) {
+        return v.index() * stride1( v.data() ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_column<M> &v ) {
+        return v.index() * stride2( v.data() ) ;
+    }
+
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_range<M> &m ) {
+        return m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+    template < typename M >
+    BOOST_UBLAS_INLINE
+    typename M::size_type start( const matrix_slice<M> &m ) {
+        return m.start1() * stride1( m.data () ) + m.start2() * stride2( m.data () ) ;
+    }
+
+}}}}
+
+#endif