//
//  Copyright (c) 2018-2019, Cem Bassoy, cem.bassoy@gmail.com
//
//  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)
//
//  The authors gratefully acknowledge the support of
//  Fraunhofer IOSB, Ettlingen, Germany
//
/// \file strides.hpp Definition for the basic_strides template class


#ifndef BOOST_UBLAS_TENSOR_STRIDES_HPP
#define BOOST_UBLAS_TENSOR_STRIDES_HPP

#include <vector>
#include <limits>
#include <numeric>
#include <stdexcept>
#include <initializer_list>
#include <algorithm>
#include <cassert>

#include <boost/numeric/ublas/functional.hpp>

namespace boost { 
namespace numeric { 
namespace ublas {

using first_order = column_major;
using last_order = row_major;

template<class T>
class basic_extents;


/** @brief Template class for storing tensor strides for iteration with runtime variable size.
 *
 * Proxy template class of std::vector<int_type>.
 *
 */
template<class __int_type, class __layout>
class basic_strides
{
public:

	using base_type = std::vector<__int_type>;

	static_assert( std::numeric_limits<typename base_type::value_type>::is_integer,
								 "Static error in boost::numeric::ublas::basic_strides: type must be of type integer.");
	static_assert(!std::numeric_limits<typename base_type::value_type>::is_signed,
								"Static error in boost::numeric::ublas::basic_strides: type must be of type unsigned integer.");
	static_assert(std::is_same<__layout,first_order>::value || std::is_same<__layout,last_order>::value,
								"Static error in boost::numeric::ublas::basic_strides: layout type must either first or last order");


	using layout_type = __layout;
	using value_type = typename base_type::value_type;
	using reference = typename base_type::reference;
	using const_reference = typename base_type::const_reference;
	using size_type = typename base_type::size_type;
	using const_pointer = typename base_type::const_pointer;
	using const_iterator = typename base_type::const_iterator;


	/** @brief Default constructs basic_strides
	 *
	 * @code auto ex = basic_strides<unsigned>{};
	 */
	constexpr explicit basic_strides()
		: _base{}
	{
	}

	/** @brief Constructs basic_strides from basic_extents for the first- and last-order storage formats
	 *
	 * @code auto strides = basic_strides<unsigned>( basic_extents<std::size_t>{2,3,4} );
	 *
	 */
	template <class T>
	basic_strides(basic_extents<T> const& s)
			: _base(s.size(),1)
	{
		if(s.empty())
			return;

		if(!s.valid())
			throw std::runtime_error("Error in boost::numeric::ublas::basic_strides() : shape is not valid.");		

		if(s.is_vector() || s.is_scalar())
			return;

		if(this->size() < 2)
			throw std::runtime_error("Error in boost::numeric::ublas::basic_strides() : size of strides must be greater or equal 2.");


		if constexpr (std::is_same<layout_type,first_order>::value){
			size_type k = 1ul, kend = this->size();
			for(; k < kend; ++k)
				_base[k] = _base[k-1] * s[k-1];
		}
		else {
			size_type k = this->size()-2, kend = 0ul;
			for(; k > kend; --k)
				_base[k] = _base[k+1] * s[k+1];
			_base[0] = _base[1] * s[1];
		}
	}

	basic_strides(basic_strides const& l)
	    : _base(l._base)
	{}

	basic_strides(basic_strides && l )
	    : _base(std::move(l._base))
	{}

	basic_strides(base_type const& l )
	    : _base(l)
	{}

	basic_strides(base_type && l )
			: _base(std::move(l))
	{}

	~basic_strides() = default;


	basic_strides& operator=(basic_strides other)
	{
		swap (*this, other);
		return *this;
	}

	friend void swap(basic_strides& lhs, basic_strides& rhs) {
		std::swap(lhs._base   , rhs._base);
	}

	const_reference operator[] (size_type p) const{
		return _base[p];
	}

	const_pointer data() const{
		return _base.data();
	}

	const_reference at (size_type p) const{
		return _base.at(p);
	}


	bool empty() const{
		return _base.empty();
	}

	size_type size() const{
		return _base.size();
	}

	template<class other_layout>
	bool operator == (basic_strides<value_type, other_layout> const& b) const{
		return b.base() == this->base();
	}

	template<class other_layout>
	bool operator != (basic_strides<value_type, other_layout> const& b) const{
		return b.base() != this->base();
	}

	bool operator == (basic_strides const& b) const{
		return b._base == _base;
	}

	bool operator != (basic_strides const& b) const{
		return b._base != _base;
	}

	const_iterator begin() const{
		return _base.begin();
	}

	const_iterator end() const{
		return _base.end();
	}

	void clear() {
		this->_base.clear();
	}

	base_type const& base() const{
		return this->_base;
	}


protected:
	base_type _base;
};

template<class layout_type>
using strides = basic_strides<std::size_t, layout_type>;

namespace detail {


/** @brief Returns relative memory index with respect to a multi-index
 *
 * @code auto j = access(std::vector{3,4,5}, strides{shape{4,2,3},first_order}); @endcode
 *
 * @param[in] i multi-index of length p
 * @param[in] w stride vector of length p
 * @returns relative memory location depending on \c i and \c w
*/
BOOST_UBLAS_INLINE
template<class size_type, class layout_type>
auto access(std::vector<size_type> const& i, basic_strides<size_type,layout_type> const& w)
{
	const auto p = i.size();
	size_type sum = 0u;
	for(auto r = 0u; r < p; ++r)
		sum += i[r]*w[r];
	return sum;
}

/** @brief Returns relative memory index with respect to a multi-index
 *
 * @code auto j = access(0, strides{shape{4,2,3},first_order}, 2,3,4); @endcode
 *
 * @param[in] i   first element of the partial multi-index
 * @param[in] is  the following elements of the partial multi-index
 * @param[in] sum the current relative memory index
 * @returns relative memory location depending on \c i and \c w
*/
BOOST_UBLAS_INLINE
template<std::size_t r, class layout_type, class ... size_types>
auto access(std::size_t sum, basic_strides<std::size_t, layout_type> const& w, std::size_t i, size_types ... is)
{
	sum+=i*w[r];
	if constexpr (sizeof...(is) == 0)
		return sum;
	else
		return detail::access<r+1>(sum,w,std::forward<size_types>(is)...);
}

}

}
}
}

#endif