// -----------------------------------------------------------------------------------------------------
// Copyright (c) 2006-2019, Knut Reinert & Freie Universität Berlin
// Copyright (c) 2016-2019, Knut Reinert & MPI für molekulare Genetik
// This file may be used, modified and/or redistributed under the terms of the 3-clause BSD-License
// shipped with this file and also available at: https://github.com/seqan/seqan3/blob/master/LICENSE.md
// -----------------------------------------------------------------------------------------------------

/*!\file
 * \author Christopher Pockrandt <christopher.pockrandt AT fu-berlin.de>
 * \brief Provides the data structures and precomputed instances for (optimum) search schemes.
 */

#pragma once

namespace seqan3::detail
{

/*!\addtogroup submodule_search_algorithm
 * \{
 */

//!\brief Object storing information for a search (of a search scheme).
//!\attention Number of blocks have to be known at compile time.
template <uint8_t nbr_blocks>
struct search
{
    //!\brief Type for storing the length of blocks
    typedef std::array<size_t, nbr_blocks> blocks_length_type;

    //!\brief Order of blocks
    std::array<uint8_t, nbr_blocks> pi;
    //!\brief Lower error bound for each block (accumulated values)
    std::array<uint8_t, nbr_blocks> l;
    //!\brief Upper error bound for each block (accumulated values)
    std::array<uint8_t, nbr_blocks> u;

    //!\brief Returns the number of blocks
    constexpr uint8_t blocks() const noexcept
    {
        return nbr_blocks;
    }
};

//!\brief Object storing information for a search (of a search scheme).
//!\attention Number of blocks do not have to be known at compile time.
struct search_dyn
{
    //!\brief Type for storing the length of blocks
    typedef std::vector<size_t> blocks_length_type;

    //!\brief Order of blocks
    std::vector<uint8_t> pi;
    //!\brief Lower error bound for each block (accumulated values)
    std::vector<uint8_t> l;
    //!\brief Upper error bound for each block (accumulated values)
    std::vector<uint8_t> u;

    //!\brief Returns the number of blocks
    uint8_t blocks() const noexcept
    {
        return pi.size();
    }
};

//!\brief Type for storing search schemes. Number of blocks have to be known at compile time.
template <uint8_t nbr_searches, uint8_t nbr_blocks>
using search_scheme_type = std::array<search<nbr_blocks>, nbr_searches>;

//!\brief Type for storing search schemes. Number of blocks do not have to be known at compile time.
using search_scheme_dyn_type = std::vector<search_dyn>;

/*!\brief Search scheme that is optimal in the running time for the specified lower and upper error bound.
 * \tparam min_error Lower bound of errors.
 * \tparam max_error Upper bound of errors.
 * \details Please note that the searches within each search scheme are sorted by their asymptotical run time
 *          (i.e. upper error bound string), s.t. easy to compute searches come first. This improves the run time of
 *          algorithms that abort after the first hit (e.g. search mode: best). Even though it is not guaranteed, this
 *          seems to be a good greedy approach.
 */
template <uint8_t min_error, uint8_t max_error>
inline int constexpr optimum_search_scheme;

//!\cond

template <>
inline search_scheme_type<1, 1> constexpr optimum_search_scheme<0, 0>
{{
    {{1}, {0}, {0}}
}};

template <>
inline search_scheme_type<2, 2> constexpr optimum_search_scheme<0, 1>
{{
    {{1, 2}, {0, 0}, {0, 1}},
    {{2, 1}, {0, 1}, {0, 1}}
}};

template <>
inline search_scheme_type<2, 2> constexpr optimum_search_scheme<1, 1>
{{
    {{1, 2}, {0, 1}, {0, 1}},
    {{2, 1}, {0, 1}, {0, 1}}
}};

template <>
inline search_scheme_type<3, 4> constexpr optimum_search_scheme<0, 2>
{{
    {{1, 2, 3, 4}, {0, 0, 1, 1}, {0, 0, 2, 2}},
    {{3, 2, 1, 4}, {0, 0, 0, 0}, {0, 1, 1, 2}},
    {{4, 3, 2, 1}, {0, 0, 0, 2}, {0, 1, 2, 2}}
}};

template <>
inline search_scheme_type<3, 4> constexpr optimum_search_scheme<1, 2>
{{
    {{1, 2, 3, 4}, {0, 0, 0, 1}, {0, 0, 2, 2}},
    {{3, 2, 1, 4}, {0, 0, 1, 1}, {0, 1, 1, 2}},
    {{4, 3, 2, 1}, {0, 0, 0, 2}, {0, 1, 2, 2}}
}};

template <>
inline search_scheme_type<3, 4> constexpr optimum_search_scheme<2, 2>
{{
    {{4, 3, 2, 1}, {0, 0, 1, 2}, {0, 0, 2, 2}},
    {{2, 3, 4, 1}, {0, 0, 0, 2}, {0, 1, 1, 2}},
    {{1, 2, 3, 4}, {0, 0, 0, 2}, {0, 1, 2, 2}}
}};

template <>
inline search_scheme_type<4, 5> constexpr optimum_search_scheme<0, 3>
{{
    // TODO: benchmark whether the first search is really the fastest one (see \details of optimum_search_scheme)
    {{5, 4, 3, 2, 1}, {0, 0, 0, 0, 0}, {0, 0, 3, 3, 3}},
    {{3, 4, 5, 2, 1}, {0, 0, 1, 1, 1}, {0, 1, 1, 2, 3}},
    {{2, 3, 4, 5, 1}, {0, 0, 0, 2, 2}, {0, 1, 2, 2, 3}},
    {{1, 2, 3, 4, 5}, {0, 0, 0, 0, 3}, {0, 2, 2, 3, 3}}
}};

template <>
inline search_scheme_type<4, 5> constexpr optimum_search_scheme<1, 3>
{{
    {{5, 4, 3, 2, 1}, {0, 0, 0, 0, 1}, {0, 0, 3, 3, 3}},
    {{3, 4, 5, 2, 1}, {0, 0, 1, 1, 1}, {0, 1, 1, 2, 3}},
    {{2, 3, 4, 5, 1}, {0, 0, 0, 2, 2}, {0, 1, 2, 2, 3}},
    {{1, 2, 3, 4, 5}, {0, 0, 0, 0, 3}, {0, 2, 2, 3, 3}}
}};

template <>
inline search_scheme_type<4, 5> constexpr optimum_search_scheme<2, 3>
{{
    {{5, 4, 3, 2, 1}, {0, 0, 0, 0, 2}, {0, 0, 3, 3, 3}},
    {{3, 4, 5, 2, 1}, {0, 0, 1, 1, 2}, {0, 1, 1, 2, 3}},
    {{2, 3, 4, 5, 1}, {0, 0, 0, 2, 2}, {0, 1, 2, 2, 3}},
    {{1, 2, 3, 4, 5}, {0, 0, 0, 0, 3}, {0, 2, 2, 3, 3}}
}};

template <>
inline search_scheme_type<4, 5> constexpr optimum_search_scheme<3, 3>
{{
    {{5, 4, 3, 2, 1}, {0, 0, 0, 0, 3}, {0, 0, 3, 3, 3}},
    {{3, 4, 5, 2, 1}, {0, 0, 1, 1, 3}, {0, 1, 1, 2, 3}},
    {{2, 3, 4, 5, 1}, {0, 0, 0, 2, 3}, {0, 1, 2, 2, 3}},
    {{1, 2, 3, 4, 5}, {0, 0, 0, 0, 3}, {0, 2, 2, 3, 3}}
}};

// TODO: add the following missing optimum search schemes (computation has not finished yet)
// optimum_search_scheme<i, 4>, 0 < i <= 4

//!\endcond

//!\}

} // namespace seqan3::detail
