#ifndef SPROUT_ALGORITHM_IS_PERMUTATION_HPP
#define SPROUT_ALGORITHM_IS_PERMUTATION_HPP

#include <sprout/config.hpp>
#include <sprout/iterator/operation.hpp>
#include <sprout/algorithm/count.hpp>
#include <sprout/algorithm/count_if.hpp>
#include HDR_ITERATOR_SSCRISK_CEL_OR_SPROUT
#include HDR_FUNCTIONAL_SSCRISK_CEL_OR_SPROUT

namespace sprout {
	// Copyright (C) 2011 RiSK (sscrisk)

	namespace detail {
		template<typename ForwardIterator1, typename ForwardIterator2>
		SPROUT_CONSTEXPR bool is_permutation_impl(
			ForwardIterator1 first1,
			ForwardIterator1 last1,
			ForwardIterator2 first2,
			ForwardIterator1 first1_
			)
		{
			return first1_ == last1 ? true
				: sprout::count(first1, last1, *first1_)
					== sprout::count(first2, sprout::next(first2, NS_SSCRISK_CEL_OR_SPROUT::distance(first1, last1)), *first1_)
					&& sprout::detail::is_permutation_impl(first1, last1, first2, sprout::next(first1_))
					? true
				: false
				;
		}

		template<typename ForwardIterator1, typename ForwardIterator2, typename BinaryPredicate>
		SPROUT_CONSTEXPR bool is_permutation_impl(
			ForwardIterator1 first1,
			ForwardIterator1 last1,
			ForwardIterator2 first2,
			ForwardIterator1 first1_,
			BinaryPredicate pred
			)
		{
			return first1_ == last1 ? true
				: sprout::count_if(first1, last1, NS_SSCRISK_CEL_OR_SPROUT::bind2nd(pred, *first1_))
					== sprout::count_if(first2, sprout::next(first2, NS_SSCRISK_CEL_OR_SPROUT::distance(first1, last1)), NS_SSCRISK_CEL_OR_SPROUT::bind2nd(pred, *first1_))
					&& sprout::detail::is_permutation_impl(first1, last1, first2, sprout::next(first1_), pred)
					? true
				: false
				;
		}
	}	// namespace detail

	// 25.2.12 Is permutation
	template<typename ForwardIterator1, typename ForwardIterator2>
	SPROUT_CONSTEXPR bool is_permutation(
		ForwardIterator1 first1,
		ForwardIterator1 last1,
		ForwardIterator2 first2
		)
	{
		return sprout::detail::is_permutation_impl(first1, last1, first2, first1);
	}

	template<typename ForwardIterator1, typename ForwardIterator2, typename BinaryPredicate>
	SPROUT_CONSTEXPR bool is_permutation(
		ForwardIterator1 first1,
		ForwardIterator1 last1,
		ForwardIterator2 first2,
		BinaryPredicate pred
		)
	{
		return sprout::detail::is_permutation_impl(first1, last1, first2, first1, pred);
	}
}	// namespace sprout

#endif	// #ifndef SPROUT_ALGORITHM_IS_PERMUTATION_HPP