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/operation/begin.hpp b/include/boost/numeric/ublas/operation/begin.hpp
new file mode 100644
index 0000000..d14bb35
--- /dev/null
+++ b/include/boost/numeric/ublas/operation/begin.hpp
@@ -0,0 +1,318 @@
+/**
+ * -*- c++ -*-
+ *
+ * \file begin.hpp
+ *
+ * \brief The \c begin operation.
+ *
+ * Copyright (c) 2009, Marco Guazzone
+ *
+ * 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)
+ *
+ * \author Marco Guazzone, marco.guazzone@gmail.com
+ */
+
+#ifndef BOOST_NUMERIC_UBLAS_OPERATION_BEGIN_HPP
+#define BOOST_NUMERIC_UBLAS_OPERATION_BEGIN_HPP
+
+
+#include <boost/numeric/ublas/expression_types.hpp>
+#include <boost/numeric/ublas/fwd.hpp>
+#include <boost/numeric/ublas/traits/const_iterator_type.hpp>
+#include <boost/numeric/ublas/traits/iterator_type.hpp>
+
+
+namespace boost { namespace numeric { namespace ublas {
+
+    namespace detail {
+
+        /**
+         * \brief Auxiliary class for implementing the \c begin operation.
+         * \tparam CategoryT The expression category type (e.g., vector_tag).
+         * \tparam TagT The dimension type tag (e.g., tag::major).
+         * \tparam OrientationT The orientation category type (e.g., row_major_tag).
+         */
+        template <typename CategoryT, typename TagT=void, typename OrientationT=void>
+        struct begin_impl;
+
+
+        /// \brief Specialization of \c begin_impl for iterating vector expressions.
+        template <>
+        struct begin_impl<vector_tag,void,void>
+        {
+            /**
+             * \brief Return an iterator to the first element of the given vector
+             *  expression.
+             * \tparam ExprT A model of VectorExpression type.
+             * \param e A vector expression.
+             * \return An iterator over the given vector expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::iterator apply(ExprT& e)
+            {
+                return e.begin();
+            }
+
+
+            /**
+             * \brief Return a const iterator to the first element of the given vector
+             *  expression.
+             * \tparam ExprT A model of VectorExpression type.
+             * \param e A vector expression.
+             * \return A const iterator to the first element of the given vector
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::const_iterator apply(ExprT const& e)
+            {
+                return e.begin();
+            }
+        };
+
+
+        /// \brief Specialization of \c begin_impl for iterating matrix expressions with
+        ///  a row-major orientation over the major dimension.
+        template <>
+        struct begin_impl<matrix_tag,tag::major,row_major_tag>
+        {
+            /**
+             * \brief Return an iterator to the first element of the given row-major
+             *  matrix expression over the major dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return An iterator over the major dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::iterator1 apply(ExprT& e)
+            {
+                return e.begin1();
+            }
+
+
+            /**
+             * \brief Return a const iterator to the first element of the given
+             *  row-major matrix expression over the major dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return A const iterator over the major dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::const_iterator1 apply(ExprT const& e)
+            {
+                return e.begin1();
+            }
+        };
+
+
+        /// \brief Specialization of \c begin_impl for iterating matrix expressions with
+        ///  a column-major orientation over the major dimension.
+        template <>
+        struct begin_impl<matrix_tag,tag::major,column_major_tag>
+        {
+            /**
+             * \brief Return an iterator to the first element of the given column-major
+             *  matrix expression over the major dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return An iterator over the major dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::iterator2 apply(ExprT& e)
+            {
+                return e.begin2();
+            }
+
+
+            /**
+             * \brief Return a const iterator to the first element of the given
+             *  column-major matrix expression over the major dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return A const iterator over the major dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::const_iterator2 apply(ExprT const& e)
+            {
+                return e.begin2();
+            }
+        };
+
+
+        /// \brief Specialization of \c begin_impl for iterating matrix expressions with
+        ///  a row-major orientation over the minor dimension.
+        template <>
+        struct begin_impl<matrix_tag,tag::minor,row_major_tag>
+        {
+            /**
+             * \brief Return an iterator to the first element of the given row-major
+             *  matrix expression over the minor dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return An iterator over the minor dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::iterator2 apply(ExprT& e)
+            {
+                return e.begin2();
+            }
+
+
+            /**
+             * \brief Return a const iterator to the first element of the given
+             *  row-major matrix expression over the minor dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return A const iterator over the minor dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::const_iterator2 apply(ExprT const& e)
+            {
+                return e.begin2();
+            }
+        };
+
+
+
+        /// \brief Specialization of \c begin_impl for iterating matrix expressions with
+        ///  a column-major orientation over the minor dimension.
+        template <>
+        struct begin_impl<matrix_tag,tag::minor,column_major_tag>
+        {
+            /**
+             * \brief Return an iterator to the first element of the given column-major
+             *  matrix expression over the minor dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return An iterator over the minor dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::iterator1 apply(ExprT& e)
+            {
+                return e.begin1();
+            }
+
+
+            /**
+             * \brief Return a const iterator to the first element of the given
+             *  column-major matrix expression over the minor dimension.
+             * \tparam ExprT A model of MatrixExpression type.
+             * \param e A matrix expression.
+             * \return A const iterator over the minor dimension of the given matrix
+             *  expression.
+             */
+            template <typename ExprT>
+            static typename ExprT::const_iterator1 apply(ExprT const& e)
+            {
+                return e.begin1();
+            }
+        };
+
+    } // Namespace detail
+
+
+    /**
+     * \brief An iterator to the first element of the given vector expression.
+     * \tparam ExprT A model of VectorExpression type.
+     * \param e A vector expression.
+     * \return An iterator to the first element of the given vector expression.
+     */
+    template <typename ExprT>
+    BOOST_UBLAS_INLINE
+    typename ExprT::iterator begin(vector_expression<ExprT>& e)
+    {
+        return detail::begin_impl<typename ExprT::type_category>::apply(e());
+    }
+
+
+    /**
+     * \brief A const iterator to the first element of the given vector expression.
+     * \tparam ExprT A model of VectorExpression type.
+     * \param e A vector expression.
+     * \return A const iterator to the first element of the given vector expression.
+     */
+    template <typename ExprT>
+    BOOST_UBLAS_INLINE
+    typename ExprT::const_iterator begin(vector_expression<ExprT> const& e)
+    {
+        return detail::begin_impl<typename ExprT::type_category>::apply(e());
+    }
+
+
+    /**
+     * \brief An iterator to the first element of the given matrix expression
+     *  according to its orientation.
+     * \tparam DimTagT A dimension tag type (e.g., tag::major).
+     * \tparam ExprT A model of MatrixExpression type.
+     * \param e A matrix expression.
+     * \return An iterator to the first element of the given matrix expression
+     *  according to its orientation.
+     */
+    template <typename TagT, typename ExprT>
+    BOOST_UBLAS_INLINE
+    typename iterator_type<ExprT,TagT>::type begin(matrix_expression<ExprT>& e)
+    {
+        return detail::begin_impl<typename ExprT::type_category, TagT, typename ExprT::orientation_category>::apply(e());
+    }
+
+
+    /**
+     * \brief A const iterator to the first element of the given matrix expression
+     *  according to its orientation.
+     * \tparam TagT A dimension tag type (e.g., tag::major).
+     * \tparam ExprT A model of MatrixExpression type.
+     * \param e A matrix expression.
+     * \return A const iterator to the first element of the given matrix expression
+     *  according to its orientation.
+     */
+    template <typename TagT, typename ExprT>
+    BOOST_UBLAS_INLINE
+    typename const_iterator_type<ExprT,TagT>::type begin(matrix_expression<ExprT> const& e)
+    {
+        return detail::begin_impl<typename ExprT::type_category, TagT, typename ExprT::orientation_category>::apply(e());
+    }
+
+
+    /**
+     * \brief An iterator to the first element over the dual dimension of the given
+     *  iterator.
+     * \tparam IteratorT A model of Iterator type.
+     * \param it An iterator.
+     * \return An iterator to the first element over the dual dimension of the given
+     *  iterator.
+     */
+    template <typename IteratorT>
+    BOOST_UBLAS_INLINE
+    typename IteratorT::dual_iterator_type begin(IteratorT& it)
+    {
+        return it.begin();
+    }
+
+
+    /**
+     * \brief A const iterator to the first element over the dual dimension of the
+     *  given iterator.
+     * \tparam IteratorT A model of Iterator type.
+     * \param it An iterator.
+     * \return A const iterator to the first element over the dual dimension of the
+     *  given iterator.
+     */
+    template <typename IteratorT>
+    BOOST_UBLAS_INLINE
+    typename IteratorT::dual_iterator_type begin(IteratorT const& it)
+    {
+        return it.begin();
+    }
+
+}}} // Namespace boost::numeric::ublas
+
+
+#endif // BOOST_NUMERIC_UBLAS_OPERATION_BEGIN_HPP