// ==========================================================================
//                 SeqAn - The Library for Sequence Analysis
// ==========================================================================
// Copyright (c) 2006-2016, Knut Reinert, FU Berlin
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
//     * Redistributions of source code must retain the above copyright
//       notice, this list of conditions and the following disclaimer.
//     * Redistributions in binary form must reproduce the above copyright
//       notice, this list of conditions and the following disclaimer in the
//       documentation and/or other materials provided with the distribution.
//     * Neither the name of Knut Reinert or the FU Berlin nor the names of
//       its contributors may be used to endorse or promote products derived
//       from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// ARE DISCLAIMED. IN NO EVENT SHALL KNUT REINERT OR THE FU BERLIN BE LIABLE
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// OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
// DAMAGE.
//
// ==========================================================================
// Author: Andreas Gogol-Doering <andreas.doering@mdc-berlin.de>
// ==========================================================================

#ifndef SEQAN_HEADER_FIND_WUMANBER_H
#define SEQAN_HEADER_FIND_WUMANBER_H

namespace seqan
{

//////////////////////////////////////////////////////////////////////////////
// WuManber
//////////////////////////////////////////////////////////////////////////////

/*!
 * @class WuManberPattern
 * @extends Pattern
 * @headerfile <seqan/find.h>
 * @brief Online algorithm for multi-pattern search.
 *
 * @signature template <typename TNeedle>
 *            class Pattern<TNeedle, WuManber>;
 *
 * @tparam TNeedle The type of the needle to search for.  Type: @link ContainerConcept @endlink.
 */

struct WuManber_;
typedef Tag<WuManber_> WuManber;

//////////////////////////////////////////////////////////////////////////////

template <typename TNeedle>
class Pattern<TNeedle, WuManber>
{
//____________________________________________________________________________
public:
    typedef typename Value<TNeedle>::Type TKeyword;
    typedef typename Position<TNeedle>::Type TNeedlePosition;
    typedef typename Size<TKeyword>::Type TSize;
    typedef typename Value<TKeyword>::Type TValue;

    //searching data: these members are initialized in _patternInit
    TNeedlePosition position; //last found keyword
    TNeedlePosition * to_verify_begin; //next entry in verify
    TNeedlePosition * to_verify_end; //end of list in verify
            //note: if to_verify_begin == to_verify_end then searching in Haystack must go on

    //preprocessed data: these members are initialized in setHost
    Holder<TNeedle> data_host;
    String<TNeedlePosition> verify_tab; //table of keywords to verify depending on the last value (HASH)
    String<TNeedlePosition *> verify; //directory into verify_tab
    String<TSize> shift; //table of skip widths (SHIFT)

    TSize lmin;    //min length of keyword
    unsigned char q; //length of hashed q-grams
//____________________________________________________________________________

    Pattern():
        lmin(0)
    {
    }

    template <typename TNeedle2>
    Pattern(TNeedle2 && ndl,
            SEQAN_CTOR_DISABLE_IF(IsSameType<typename std::remove_reference<TNeedle2>::type const &, Pattern const &>))
    {
        setHost(*this, std::forward<TNeedle2>(ndl));
        ignoreUnusedVariableWarning(dummy);
    }

    ~Pattern()
    {
    }
//____________________________________________________________________________

private:
    Pattern(Pattern const& other);
    Pattern const & operator=(Pattern const & other);
    Pattern(Pattern && other);
    Pattern & operator=(Pattern && other);
//____________________________________________________________________________
};

//////////////////////////////////////////////////////////////////////////////

//forward
template <typename TNeedle, int Q>
struct WuManberHash_;


//////////////////////////////////////////////////////////////////////////////
//implementation kernel of WuManber

template <typename TNeedle, int Q>
struct WuManberImpl_
{
//____________________________________________________________________________

    typedef Pattern<TNeedle, WuManber> TPattern;

    typedef typename Value<TNeedle>::Type TKeyword;
    typedef typename Position<TNeedle>::Type TNeedlePosition;
    typedef typename Iterator<TNeedle, Standard>::Type TNeedleIterator;

    typedef typename Size<TKeyword>::Type TSize;
    typedef typename Value<TKeyword>::Type TValue;
    typedef typename Iterator<TKeyword, Standard>::Type TIterator;

//____________________________________________________________________________

    enum
    {
        C = BitsPerValue<TValue>::VALUE, //bits per value
        W = (C*Q <= 16) ? C*Q : 16,    //bits per hash values

        DIR_SIZE = 1 << W,            //size of verify_dir and shift_dir

        //shift width for Q = 2:
        SHIFT = (W > 2*C) ? C : W-C,

        //shift widths for Q = 3:
        SHIFT_LEFT = (W > 3*C) ? 2*C : W-C,
        SHIFT_MIDDLE = SHIFT_LEFT / 2
    };
//____________________________________________________________________________

    inline static unsigned short
    hash(TValue * vals)
    {
        return WuManberHash_<TNeedle, Q>::hash(vals);
    }
//____________________________________________________________________________

    inline static void
    initialize(TPattern & me)
    {
        //note: me.needle, me.q, and me.lmin were already set in setHost before initialize was called

        //some variables
        TNeedleIterator pit;
        TNeedleIterator pit_end = end(needle(me));

        TSize k = length(needle(me));

        //resize and init tables
        resize(me.verify_tab, (unsigned) k);
        resize(me.verify, (unsigned) DIR_SIZE+1);
        resize(me.shift, (unsigned) DIR_SIZE);

        arrayFill(begin(me.shift), begin(me.shift) + (unsigned) DIR_SIZE, me.lmin-Q+1); //maximal shift width is me.lmin-B+1

        //init counters
        unsigned int verify_count[DIR_SIZE];
        arrayFill(verify_count, verify_count + DIR_SIZE, 0);

        //1: first scan: fill me.shift and count verify
        for (pit = begin(needle(me)); pit != pit_end; ++pit)
        {
            if (empty(*pit))
                continue;  // Skip empty needles.
            unsigned short hash;
            TIterator kit = begin(*pit);
            for (unsigned int i = 0; i <= me.lmin-Q; ++i)
            {
                hash = WuManberHash_<TNeedle, Q>::hash(kit + i);
                if (me.shift[hash] > me.lmin-Q - i)
                {
                    me.shift[hash] = me.lmin-Q - i;
                }
            }
            ++(verify_count[hash]);
        }

        //2: add up and convert to pointers
        TNeedlePosition * verify_ptr = begin(me.verify_tab);

        me.verify[0] = verify_ptr;
        unsigned int sum = 0;
        for (unsigned int i = 0; i < DIR_SIZE; ++i)
        {
            me.verify[i+1] = verify_ptr + sum;
            sum += verify_count[i];
        }

        //3: second scan: fill verify and shift
        pit = begin(needle(me));
        for (unsigned int i = 0; pit != pit_end; ++i, ++pit)
        {
            if (empty(*pit))
                continue;  // Skip empty needles.
            unsigned short hash_plus_1;
            hash_plus_1 = WuManberHash_<TNeedle, Q>::hash(begin(*pit) + me.lmin-Q) + 1;

            //write into verify_tab
            *(me.verify[hash_plus_1]) = i;

            //update verify
            ++me.verify[hash_plus_1];
        }
    }
//____________________________________________________________________________

    template <typename TFinder>
    static inline bool
    find(TFinder & finder, TPattern & me)
    {
        typedef typename Haystack<TFinder>::Type THaystack;
        typedef typename Iterator<THaystack, Standard>::Type THaystackIterator;

        THaystackIterator tit;
        THaystackIterator haystack_end = end(haystack(finder));
        THaystackIterator tit_end = haystack_end - Q + 1;
        unsigned short hash;

        if (empty(finder))
        {
//START
            _patternInit(me);
            _finderSetNonEmpty(finder);
            tit = hostIterator(finder) + me.lmin-Q;
        }
        else
        {
//RESUME
            tit = hostIterator(finder) + me.lmin-Q;
            goto VERIFY;
        }

//SEARCH
        while (tit < tit_end)
        {
            hash = WuManberHash_<TNeedle, Q>::hash(tit);

            if (me.shift[hash])
            {
//SHIFT
                tit += me.shift[hash];
            }
            else
            {
                me.to_verify_begin = me.verify[hash];
                me.to_verify_end = me.verify[hash+1];
//VERIFY
VERIFY:
                while (me.to_verify_begin != me.to_verify_end)
                {
                    me.position = *me.to_verify_begin;
                    ++me.to_verify_begin;

                    TKeyword & kw = needle(me)[me.position];

                    TIterator pit = begin(kw, Standard());
                    TIterator pit_end = end(kw, Standard());
                    THaystackIterator tit2 = tit - (me.lmin-Q);

                    if ((pit_end - pit) > (haystack_end - tit2)) continue; //rest of haystack too short

                    while (true)
                    {
                        if (pit == pit_end)
                        {
//FOUND
                            setPosition(finder, tit - (me.lmin-Q) - begin(haystack(finder), Standard()));
                            _setFinderLength(finder, length(kw));
                            _setFinderEnd(finder, position(finder) + length(finder));
                            return true;
                        }
                        if (*pit != *tit2) break;
                        ++pit;
                        ++tit2;
                    }
                }

                ++tit;
            }
        }
//END
        return false;
    }
//____________________________________________________________________________
};


//////////////////////////////////////////////////////////////////////////////
//implementation of hash function

template <typename TNeedle>
struct WuManberHash_<TNeedle, 1>
{
    template <typename TIterator>
    inline static unsigned short
    hash(TIterator vals)
    {
        return ordValue(*vals);
    }
};
template <typename TNeedle>
struct WuManberHash_<TNeedle, 2>
{
    template <typename TIterator>
    inline static unsigned short
    hash(TIterator vals)
    {
        return ordValue(*vals)
            + (ordValue(*(vals+1)) << WuManberImpl_<TNeedle, 2>::SHIFT);
    }
};
template <typename TNeedle>
struct WuManberHash_<TNeedle, 3>
{
    template <typename TIterator>
    inline static unsigned short
    hash(TIterator vals)
    {
        return ordValue(*vals)
            + (ordValue(*(vals+1)) << WuManberImpl_<TNeedle, 3>::SHIFT_MIDDLE)
            + (ordValue(*(vals+2)) << WuManberImpl_<TNeedle, 3>::SHIFT_LEFT);
    }
};

//////////////////////////////////////////////////////////////////////////////

template <typename TNeedle>
void _reinitPattern(Pattern<TNeedle, WuManber> & me)
{

    typedef typename Iterator<TNeedle, Standard>::Type TNeedleIterator;
    typedef typename Value<TNeedle>::Type TKeyword;
    typedef typename Value<TKeyword>::Type TValue;
    typedef typename Size<TKeyword>::Type TSize;

    //determine lmin
    me.lmin = std::numeric_limits<TSize>::max();
    for (TNeedleIterator it = begin(needle(me)); it != end(needle(me)); ++it)
        if (!empty(*it) && length(*it) < me.lmin)  // skipping empty needles
            me.lmin = length(*it);
    if (me.lmin == std::numeric_limits<TSize>::max())
        return;  // only empty needles

    //compute q:
    unsigned int C = BitsPerValue<TValue>::VALUE;
    if (C > 12)
    {
        me.q = 1;
    }
    else
    {
        //according to Wu & Manber: B = log_c(2mk) "is a good value"
        //i.e. C^B = 2mk
        //m = lmin
        //k = length(needle)
        //our heuristic: take B = 2 if C^2 >= mk, else B = 3

        if (C * C >= me.lmin * length(needle(me)))
        {
            me.q = 2;
        }
        else
        {
            me.q = 3;
        }
    }
    if (me.q > me.lmin)
    {
        me.q = me.lmin;
    }

    //rest of preprocessing is done in WuManberImpl_
    if (me.q == 2) WuManberImpl_<TNeedle, 2>::initialize(me);
    else if (me.q == 3) WuManberImpl_<TNeedle, 3>::initialize(me);
    else WuManberImpl_<TNeedle, 1>::initialize(me);
}

//////////////////////////////////////////////////////////////////////////////

template <typename TNeedle>
inline typename Size<TNeedle>::Type
position(Pattern<TNeedle, WuManber> & me)
{
    return me.position;
}

//////////////////////////////////////////////////////////////////////////////

//called when search begins
template <typename TNeedle>
inline void _patternInit (Pattern<TNeedle, WuManber> & me)
{
    me.to_verify_begin = 0;
    me.to_verify_end = 0;
}

//////////////////////////////////////////////////////////////////////////////

template <typename TFinder, typename TNeedle>
inline bool find(TFinder & finder,
                 Pattern<TNeedle, WuManber> & me)
{

    if (me.lmin == 0) return false;

    if (me.q == 2) return WuManberImpl_<TNeedle, 2>::find(finder, me);
    else if (me.q == 3) return WuManberImpl_<TNeedle, 3>::find(finder, me);
    else return WuManberImpl_<TNeedle, 1>::find(finder, me);
}

//////////////////////////////////////////////////////////////////////////////

}// namespace seqan

#endif //#ifndef SEQAN_HEADER_...
