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<sect2 id="multi_array_ref">
<title><literal>multi_array_ref</literal></title>
<para>
<literal>multi_array_ref</literal> is a multi-dimensional container
adaptor. It provides the MultiArray interface over any contiguous
block of elements. <literal>multi_array_ref</literal> exports the
same interface as <literal>multi_array</literal>, with the exception
of the constructors.
</para>
<formalpara>
<title>Model Of.</title>
<para>
<literal>multi_array_ref</literal> models
<link linkend="MultiArray">MultiArray</link>,
<ulink url="../../../libs/utility/CopyConstructible.html">CopyConstructible</ulink>.
and depending on the element type, it may also model
<ulink url="http://www.sgi.com/tech/stl/EqualityComparable.html">EqualityComparable</ulink> and <ulink url="http://www.sgi.com/tech/stl/LessThanComparable.html">LessThanComparable</ulink>.
Detailed descriptions are provided here only for operations that are
not described in the <literal>multi_array</literal> reference.
</para>
</formalpara>
<formalpara>
<title>Synopsis</title>
<programlisting>
<![CDATA[
namespace boost {
template <typename ValueType,
std::size_t NumDims>
class multi_array_ref {
public:
// types:
typedef ValueType element;
typedef *unspecified* value_type;
typedef *unspecified* reference;
typedef *unspecified* const_reference;
typedef *unspecified* difference_type;
typedef *unspecified* iterator;
typedef *unspecified* const_iterator;
typedef *unspecified* reverse_iterator;
typedef *unspecified* const_reverse_iterator;
typedef multi_array_types::size_type size_type;
typedef multi_array_types::index index;
typedef multi_array_types::index_gen index_gen;
typedef multi_array_types::index_range index_range;
typedef multi_array_types::extent_gen extent_gen;
typedef multi_array_types::extent_range extent_range;
typedef *unspecified* storage_order_type;
// template typedefs
template <std::size_t Dims> struct subarray;
template <std::size_t Dims> struct const_subarray;
template <std::size_t Dims> struct array_view;
template <std::size_t Dims> struct const_array_view;
// structors
template <typename ExtentList>
explicit multi_array_ref(element* data, const ExtentList& sizes,
const storage_order_type& store = c_storage_order());
explicit multi_array_ref(element* data, const extents_tuple& ranges,
const storage_order_type& store = c_storage_order());
multi_array_ref(const multi_array_ref& x);
~multi_array_ref();
// modifiers
multi_array_ref& operator=(const multi_array_ref& x);
template <class Array> multi_array_ref& operator=(const Array& x);
// iterators:
iterator begin();
iterator end();
const_iterator begin() const;
const_iterator end() const;
reverse_iterator rbegin();
reverse_iterator rend();
const_reverse_iterator rbegin() const;
const_reverse_iterator rend() const;
// capacity:
size_type size() const;
size_type num_elements() const;
size_type num_dimensions() const;
// element access:
template <typename IndexList>
element& operator()(const IndexList& indices);
template <typename IndexList>
const element& operator()(const IndexList& indices) const;
reference operator[](index i);
const_reference operator[](index i) const;
array_view<Dims>::type operator[](const indices_tuple& r);
const_array_view<Dims>::type operator[](const indices_tuple& r) const;
// queries
element* data();
const element* data() const;
element* origin();
const element* origin() const;
const size_type* shape() const;
const index* strides() const;
const index* index_bases() const;
const storage_order_type& storage_order() const;
// comparators
bool operator==(const multi_array_ref& rhs);
bool operator!=(const multi_array_ref& rhs);
bool operator<(const multi_array_ref& rhs);
bool operator>(const multi_array_ref& rhs);
bool operator>=(const multi_array_ref& rhs);
bool operator<=(const multi_array_ref& rhs);
// modifiers:
template <typename InputIterator>
void assign(InputIterator begin, InputIterator end);
template <typename SizeList>
void reshape(const SizeList& sizes)
template <typename BaseList> void reindex(const BaseList& values);
void reindex(index value);
};
]]>
</programlisting>
</formalpara>
<formalpara>
<title>Constructors</title>
<variablelist>
<varlistentry>
<term><programlisting>template &lt;typename ExtentList&gt;
explicit multi_array_ref(element* data,
const ExtentList&amp; sizes,
const storage_order&amp; store = c_storage_order(),
const Allocator&amp; alloc = Allocator());
</programlisting></term>
<listitem>
<para>
This constructs a <literal>multi_array_ref</literal> using the specified
parameters. <literal>sizes</literal> specifies the shape of the
constructed <literal>multi_array_ref</literal>. <literal>store</literal>
specifies the storage order or layout in memory of the array
dimensions. <literal>alloc</literal> is used to
allocate the contained elements.
</para>
<formalpara><title><literal>ExtentList</literal> Requirements</title>
<para>
<literal>ExtentList</literal> must model <ulink url="../../utility/Collection.html">Collection</ulink>.
</para>
</formalpara>
<formalpara><title>Preconditions</title>
<para><literal>sizes.size() == NumDims;</literal></para>
</formalpara>
</listitem>
</varlistentry>
<varlistentry>
<term>
<programlisting><![CDATA[explicit multi_array_ref(element* data,
extent_gen::gen_type<NumDims>::type ranges,
const storage_order& store = c_storage_order());]]>
</programlisting></term>
<listitem>
<para>
This constructs a <literal>multi_array_ref</literal> using the specified
parameters. <literal>ranges</literal> specifies the shape and
index bases of the constructed multi_array_ref. It is the result of
<literal>NumDims</literal> chained calls to
<literal>extent_gen::operator[]</literal>. <literal>store</literal>
specifies the storage order or layout in memory of the array
dimensions.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><programlisting>
<![CDATA[multi_array_ref(const multi_array_ref& x);]]>
</programlisting></term>
<listitem>
<para>This constructs a shallow copy of <literal>x</literal>.
</para>
<formalpara>
<title>Complexity</title>
<para> Constant time (for contrast, compare this to
the <literal>multi_array</literal> class copy constructor.
</para></formalpara>
</listitem>
</varlistentry>
</variablelist>
</formalpara>
<formalpara>
<title>Modifiers</title>
<variablelist>
<varlistentry>
<term><programlisting>
<![CDATA[multi_array_ref& operator=(const multi_array_ref& x);
template <class Array> multi_array_ref& operator=(const Array& x);]]>
</programlisting>
</term>
<listitem>
<para>This performs an element-wise copy of <literal>x</literal>
into the current <literal>multi_array_ref</literal>.</para>
<formalpara>
<title><literal>Array</literal> Requirements</title>
<para><literal>Array</literal> must model MultiArray.
</para></formalpara>
<formalpara>
<title>Preconditions</title>
<para>
<programlisting>std::equal(this->shape(),this->shape()+this->num_dimensions(),
x.shape());</programlisting></para>
</formalpara>
<formalpara>
<title>Postconditions</title>
<para>
<programlisting>(*.this) == x;</programlisting>
</para>
</formalpara>
<formalpara>
<title>Complexity</title>
<para>The assignment operators perform
O(<literal>x.num_elements()</literal>) calls to <literal>element</literal>'s
copy constructor.</para></formalpara>
</listitem>
</varlistentry>
</variablelist>
</formalpara>
</sect2>