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/usr/include/blasr/suffixarray/SuffixArray.hpp is in libblasr-dev 0~20151014+gitbe5d1bf-2.

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#ifndef _BLASR_SUFFIX_ARRAY_HPP_
#define _BLASR_SUFFIX_ARRAY_HPP_

#include <string.h>
#include <assert.h>
#include <iostream>
#include <fstream>
#include <string>
#include <vector>
#include "LCPTable.hpp"
#include "defs.h"
#include "utils.hpp"
#include "tuples/DNATuple.hpp"
#include "tuples/CompressedDNATuple.hpp"
#include "qvs/QualityValue.hpp"
#include "DNASequence.hpp"
#include "NucConversion.hpp"
#include "algorithms/compare/CompareStrings.hpp"
#include "algorithms/sorting/qsufsort.hpp"
#include "algorithms/sorting/LightweightSuffixArray.hpp"
/*
 * Suffix array implementation, with a Manber and Meyers sort, but
 * that is typically not used.
 *
 */

typedef enum E_SAType {manmy, slow, mcilroy, larsson, kark, mafe, welter} SAType;

template<typename T>
class CompareSuffixes {
public:
    T t;
    int refLength;
    CompareSuffixes(T tref, int prefLength) {
        t = tref;
        refLength = prefLength;
    }
    int operator()(int a, int b) {
        int aSufLen = refLength - a;
        int bSufLen = refLength - b;
        int abMinLength = MIN(aSufLen, bSufLen);
        int cmpRes = memcmp(&(t[a]), &(t[b]), abMinLength);
        if (cmpRes == 0) {
            if (aSufLen < bSufLen) {
                return 1;
            }
            else {
                return 0;
            }
        }
        else {
            return cmpRes < 0;
        }
    }
};

typedef uint32_t SAIndex;
typedef uint32_t SAIndexLength;

template<typename T, 
    typename Sigma,
    typename Compare = DefaultCompareStrings<T>,
    typename Tuple   = DNATuple >
class SuffixArray {
public:
    SAIndex *index;
    bool deleteStructures;
    T*  target;
    SAIndex length;
    SAIndex *startPosTable, *endPosTable;
    SAIndexLength lookupTableLength;
    SAIndex lookupPrefixLength;
    TupleMetrics tm;
    unsigned int magicNumber;
    unsigned int ckMagicNumber;
    typedef Compare CompareType;
    enum Component { CompArray, CompLookupTable, CompLCPTable};
    static const int ComponentListLength = 2;
    static const int FullSearch = -1;
    int componentList[ComponentListLength];

    // vector<SAIndex> leftBound, rightBound;

    inline	int LengthLongestCommonPrefix(T *a, int alen, T *b, int blen) {
        int i;
        for (i = 0 ; i < alen and i < blen; i++ ) 
            if (a[i] != b[i])
                break;
        return i;
    }

    SuffixArray() {
        // Not necessarily using the lookup table.
        // The magic number is linked with a version 
        magicNumber = 0xacac0001;
        startPosTable = endPosTable = NULL;
        lookupPrefixLength = 0;
        lookupTableLength = 0;
        deleteStructures  = true;
        ckMagicNumber = 0;
        length = 0;
        int i;
        for (i = 0; i < ComponentListLength; i++) {
            componentList[i] = false;
        }
        // Must create a suffix array, but for now make it null.
        target = NULL;
        index = NULL;
    }
    ~SuffixArray() {
        if (deleteStructures == false) {
            //
            // It is possible this class is referencing another structrue. In
            // this case, do not try and delete in the destructor.
            //
            return;
        }
        if (startPosTable != NULL) {
            delete[] startPosTable;
        }
        if (endPosTable != NULL) {
            delete[] endPosTable;
        }
        if (index != NULL) {
            delete[] index;
        }
    }

    int StringLessThanEqual(T *a, int aLen, T *b, int bLen) {
        return Compare::LessThanEqual(a, aLen, b, bLen);
    }

    int StringEquals(T *a, int aLen, T *b, int bLen) {
        return Compare::Equal(a, aLen, b, bLen);
    }
    int StringLessThan(T *a, int aLen, T *b, int bLen) {
        return Compare::LessThan(a, aLen, b, bLen);
    }

    void InitAsciiCharDNAAlphabet(std::vector<int> &dnaAlphabet) {
        int i;
        for (i = 0; i < 127; i++) {
            dnaAlphabet.push_back(i);
        }
    }

    void InitTwoBitDNAAlphabet(std::vector<int> &dnaAlphabet) {
        dnaAlphabet.push_back(0);
        dnaAlphabet.push_back(1);	
        dnaAlphabet.push_back(2);
        dnaAlphabet.push_back(3);
    }

    void InitThreeBitDNAAlphabet(std::vector<int> &dnaAlphabet) {
        //
        // This is initialized to have ACTG-0123, N=4, and EOF=5
        //
        dnaAlphabet.push_back(0);
        dnaAlphabet.push_back(1);	
        dnaAlphabet.push_back(2);
        dnaAlphabet.push_back(3);
        dnaAlphabet.push_back(4);
        dnaAlphabet.push_back(5);
    }

    void PrintSuffices(T *target, int targetLength, int maxPrintLength) {
        std::string seq;
        seq.resize(maxPrintLength+1);
        SAIndex i, s;
        seq[maxPrintLength] = '\0';
        for (i = 0; i < length; i++) {
            DNALength suffixLength = maxPrintLength;
            if (index[i] + maxPrintLength > length) {
                suffixLength = length - index[i];
            }
            std::cout << index[i] << " " << suffixLength << " ";
            seq.resize(suffixLength);
            for (s = 0; s < suffixLength; s++ ){ 
                seq[s] = TwoBitToAscii[target[index[i] + s]];
            }
            seq[suffixLength] = '\0';
            std::cout << seq << std::endl;
        }
    }

    void BuildLookupTable(T *target, SAIndexLength targetLength, int prefixLengthP) { 

        //
        // pprefixLength is the length used to lookup the index boundaries
        // given a string.
        //

        SAIndexLength i;
        tm.tupleSize = lookupPrefixLength = prefixLengthP;
        tm.InitializeMask();
        lookupTableLength = 1 << (2*lookupPrefixLength);

        if (startPosTable) {delete [] startPosTable;}
        startPosTable = ProtectedNew<SAIndex>(lookupTableLength);

        if (endPosTable) {delete [] endPosTable;}
        endPosTable   = ProtectedNew<SAIndex>(lookupTableLength);
        deleteStructures = true;

        Tuple curPrefix, nextPrefix;
        SAIndex tablePrefixIndex = 0;

        for (i = 0; i < lookupTableLength; i++) {
            startPosTable[i] = endPosTable[i] = 0;
        }
        i = 0;
        VectorIndex tablePos;
        SAIndex     indexPos;
        indexPos = 0;
        do {
            // Advance to the first position that may be translated into a tuple.
            if (targetLength < lookupPrefixLength)
                break;
            while(indexPos < targetLength - lookupPrefixLength + 1 and 
                    index[indexPos] + lookupPrefixLength > targetLength) {
                indexPos++;
            }
            if (indexPos >= targetLength - lookupPrefixLength + 1) {
                break;
            }
            while (indexPos < targetLength - lookupPrefixLength + 1 and
                    curPrefix.FromStringLR((Nucleotide*) &target[index[indexPos]], tm) == 0) {
                ++indexPos;
            }

            startPosTable[curPrefix.tuple] = indexPos;
            indexPos++;
            while(indexPos < targetLength - lookupPrefixLength + 1 and
                    index[indexPos] + lookupPrefixLength < targetLength) {
                nextPrefix.tuple = 0;
                nextPrefix.FromStringLR((Nucleotide*) &target[index[indexPos]], tm);
                if (nextPrefix.tuple != curPrefix.tuple) {
                    break;
                }
                else {
                    indexPos++;
                }
            }
            endPosTable[curPrefix.tuple] = indexPos;
        }
        while ((indexPos < targetLength - lookupPrefixLength + 1) and 
               (uint32_t(curPrefix.tuple) < uint32_t(lookupTableLength - 1)));
    }

    void AllocateSuffixArray(SAIndexLength stringLength) {
        assert(index == NULL or not deleteStructures);
        index = ProtectedNew<SAIndex>(stringLength + 1);
        deleteStructures = true;
        length = stringLength;
    }

    void LarssonBuildSuffixArray(T* target, SAIndexLength targetLength, Sigma &alphabet) {
        assert(index == NULL or not deleteStructures);
        index =  ProtectedNew<SAIndex>(targetLength+1);
        deleteStructures = true;
        SAIndex *p = ProtectedNew<SAIndex>(targetLength+1);
        SAIndexLength i;
        for (i = 0; i < targetLength; i++) { index[i] = target[i] + 1;}
        SAIndexLength maxVal = 0;
        for (i = 0; i < targetLength; i++) { maxVal = index[i] > maxVal ?  index[i] : maxVal;}
        index[targetLength] = 0;
        LarssonSuffixSort<SAIndex, UINT_MAX> sorter;
        sorter(index, p, ((SAIndex) targetLength), ((SAIndex) maxVal+1), (SAIndex) 1 );
        for (i = 0; i < targetLength; i++ ){ index[i] = p[i+1];};
        length = targetLength;
        delete[] p;
    }

    void LightweightBuildSuffixArray(T*target, SAIndexLength targetLength, int diffCoverSize=2281) {
        assert(index == NULL or not deleteStructures);
        index = ProtectedNew<SAIndex>(targetLength+1);
        deleteStructures = true;
        length = targetLength;
        DNALength pos;
        for (pos = 0; pos < targetLength; pos++) {
            target[pos]++;
        }
        LightweightSuffixSort(target, targetLength, index, diffCoverSize);
        for (pos = 0; pos < targetLength; pos++) {
            target[pos]--;
        }

    }

    void MMBuildSuffixArray(T* target, SAIndexLength targetLength, Sigma &alphabet) {
        /*
         * Manber and Myers suffix array construction.
         */
        length = targetLength;
        VectorIndex a;
        std::vector<int> prm;
        std::vector<int> bucket;
        std::vector<int> count;
        // To be changed to bit vectors
        std::vector<bool> bh, b2h;
        bucket.resize(alphabet.size());

        prm.resize(targetLength);
        count.resize(targetLength);
        bh.resize(targetLength+1);
        b2h.resize(targetLength+1);
        std::fill(bh.begin(), bh.end(), false);
        std::fill(b2h.begin(), b2h.end(), false);
        std::fill(count.begin(), count.end(), 0);
        assert(index == NULL or not deleteStructures);
        index = ProtectedNew<SAIndex>(targetLength);
        deleteStructures = true;
        for (a = 0; a < alphabet.size(); a++ ) {
            bucket[a] = -1;
        }

        SAIndexLength i;
        for (i = 0; i < targetLength; i++) {
            index[i] = bucket[target[i]];
            bucket[target[i]] = i;
        }

        int j;
        SAIndex c;
        std::fill(prm.begin(), prm.end(), -1);
        //
        // Prepare the buckets.
        //
        c = 0;
        int b;
        for (a = 0; a < alphabet.size(); a++) { 
            b = bucket[alphabet[a]]; // position of last suffix starting with 'a'
            while (b != -1) {
                j = index[b];
                prm[b] = c;
                if (b == bucket[a]) {
                    bh[c] = true;
                }
                else {
                    bh[c] = false;
                }
                c = c + 1;
                b = j;
            }
        }
        b2h[targetLength] = bh[targetLength] = true;
        // fill the index with positions sorted by the first character.
        for (i = 0; i < targetLength; i++) {
            index[prm[i]] = i;
        }

        SAIndex h;
        h = 1;
        SAIndex l, r;

        while (h < targetLength) {
            // re-order the buckets;
            l = 0;
            int bstart;
            while (l < targetLength) {
                bstart = l;
                r = l + 1;
                count[l] = 0;
                //				bh[l] = 0;
                while (bh[r] == false) {r++;} // find the begining of the next bucket.
                while (l < r) {
                    assert(l < targetLength);
                    prm[index[l]] = bstart;
                    l++;
                }
            }

            SAIndex d = targetLength - h;
            SAIndex e = prm[d]; 

            /*
             * Phase 1: Set up the buckets in the index and bh list.
             */

            //
            // suffix d needs to be moved to the front of it's bucket.
            // d should exist in the bucket starting at prm[d]
            SAIndex i;

            l = 0;
            r = 1;

            //
            // Move each d that is h backwards up in it's 2h bucket.
            //

            d = targetLength - h; 
            e = prm[d]; 
            bh[e]    = true;     // e is bstart, the beginning of the bucket.
            prm[d]   = e + count[e];
            count[e] = count[e] + 1;
            b2h[prm[d]] = true;

            for (c = 0; c < targetLength; c++ ){
                // d is T_i
                d = index[c] - h;
                if (index[c] >= h and d < targetLength) {
                    e           = prm[d];
                    prm[d]      = e + count[e];
                    count[e]    = count[e] + 1;
                    b2h[prm[d]] = true;
                }
            }


            //
            // Fix the bucket boundaries.
            //

            l = 0;


            while(l < targetLength) {

                // First assign b2h to be 1 on the entire portion of the 
                // current bucket (from l ... bh[c]==true).
                for (c = l; c == l or bh[c] == false; c++)  {
                    d = index[c] - h;
                    if (d < targetLength) {
                        b2h[prm[d]] = true;
                    }
                }

                //
                // Mark the start boundaries of the 2h bucket.
                //
                for (c = l; c == l or bh[c] == false; c++) {
                    d = index[c] - h;
                    if (d < targetLength) {
                        if (b2h[prm[d]] == true) {
                            j = prm[d] + 1;
                            // advance j to the next bucket.
                            while (!(bh[j] == true or b2h[j] == false)) {
                                j++;
                            }

                            e = j;
                            SAIndex f;
                            for (f = prm[d] + 1; f <= e - 1; f++) { 
                                b2h[f] = false;
                            }
                        }
                    }
                }
                l = c;
            }

            for (i = 0; i < targetLength; i++) { 
                index[prm[i]] = i;
            }

            for (i = 0 ; i < targetLength; i++) {
                if (b2h[i] == true and bh[i] == false) {
                    bh[i] = b2h[i];
                }
            }
            h <<= 1;
        }
    }

    void BuildSuffixArray(T* target, SAIndex targetLength, Sigma &alphabet) {
        length = targetLength;
        assert(index == NULL or not deleteStructures);
        index  = ProtectedNew<SAIndex>(length);
        deleteStructures = true;
        CompareSuffixes<T*> cmp(target, length);
        SAIndex i;
        for (i = 0; i < length; i++ ){ 
            index[i] = i;
        }
        std::sort(index, index + length, cmp);
    }

    void WriteArray(std::ofstream &out) {
        out.write((char*) &length, sizeof(int));
        out.write((char*) index, sizeof(int) * (length));
    }

    void WriteLookupTable(std::ofstream &out) {

        out.write((char*) &lookupTableLength, sizeof(SAIndex));
        out.write((char*) &lookupPrefixLength, sizeof(SAIndex));
        out.write((char*) startPosTable, sizeof(SAIndex) * (lookupTableLength));
        out.write((char*) endPosTable, sizeof(SAIndex) * (lookupTableLength));
    }

    void WriteComponentList(std::ofstream &out) {
        //
        // First build the component list.
        //
        if (index != NULL)
            componentList[CompArray] = 1;
        else 
            componentList[CompArray] = 0;

        if (startPosTable != NULL)
            componentList[CompLookupTable] = 1;
        else
            componentList[CompLookupTable] = 0;

        out.write((char*) componentList, sizeof(int) * ComponentListLength);
    }

    void WriteLCPTable(std::ofstream &out) {
        std::cout << "NOT YET IMPLEMENTED." << std::endl;
        exit(1);
    }

    void Write(std::string &outFileName) {

        //
        // The suffix array is written in 2 or more parts:
        //   1 - a preamble listing the components of the
        //       array that are written
        //   2 - The components.
        //
        // 
        std::ofstream suffixArrayOut;
        suffixArrayOut.open(outFileName.c_str(), std::ios::binary);
        if (!suffixArrayOut.good()) {
            std::cout << "Could not open " << outFileName << std::endl;
            exit(1);
        }
        WriteMagicNumber(suffixArrayOut);
        // write the preamble
        WriteComponentList(suffixArrayOut);

        // write the components
        if (componentList[CompArray]) {
            WriteArray(suffixArrayOut);
        }
        if (componentList[CompLookupTable]) {
            WriteLookupTable(suffixArrayOut);
        }
        suffixArrayOut.close();
    }
    void WriteMagicNumber(std::ofstream &out) {
        out.write((char*) &magicNumber, sizeof(int));
    }

    int ReadMagicNumber(std::ifstream &in) {
        in.read((char*) &ckMagicNumber, sizeof(int));
        if (ckMagicNumber != magicNumber) {
            return 0;
        }
        else { 
            return 1;
        }
    }

    void ReadComponentList(std::ifstream &in) { 
        in.read((char*) componentList, sizeof(int) * ComponentListLength);
    }

    void ReadAllocatedArray(std::ifstream &in) {
        in.read((char*) index, sizeof(int) * length);
    }

    void LightReadArray(std::ifstream &in) {
        in.read((char*) &length, sizeof(int));
        // skip the actual array
        in.seekg(length*sizeof(int), std::ios_base::cur);
    }

    void ReadArray(std::ifstream &in) {
        in.read((char*) &length, sizeof(int));
        assert(index == NULL or not deleteStructures);
        index = ProtectedNew<SAIndex>(length);
        deleteStructures = true;
        ReadAllocatedArray(in);
    }

    void ReadAllocatedLookupTable(std::ifstream &in) {
        in.read((char*) startPosTable, sizeof(int) * (lookupTableLength));
        in.read((char*) endPosTable, sizeof(int) * (lookupTableLength));
    }

    void ReadLookupTableLengths(std::ifstream &in) {
        in.read((char*) &lookupTableLength, sizeof(int));
        in.read((char*) &lookupPrefixLength, sizeof(int));
    }

    void ReadLookupTable(std::ifstream &in) {
        ReadLookupTableLengths(in);
        tm.Initialize(lookupPrefixLength);
        assert(startPosTable == NULL or not deleteStructures);
        assert(endPosTable == NULL or not deleteStructures);
        startPosTable = ProtectedNew<SAIndex>(lookupTableLength);
        endPosTable   = ProtectedNew<SAIndex>(lookupTableLength);
        deleteStructures = true;
        ReadAllocatedLookupTable(in);
    }

    void ReadLCPTable(std::ifstream &in) {
        std::cout <<" NOT YET IMPLEMENTED!!!" << std::endl;
        exit(1);
    }

    bool LightRead(std::string &inFileName) {
        std::ifstream saIn;
        saIn.open(inFileName.c_str(), std::ios::binary);
        int hasMagicNumber;
        hasMagicNumber = ReadMagicNumber(saIn);
        if (hasMagicNumber == 1) {
            ReadComponentList(saIn);
            LightReadArray(saIn);
            ReadLookupTable(saIn);
            saIn.close();
            return true;
        }
        else {
            saIn.close();
            return false;
        }
    }

    bool Read(std::string &inFileName) {
        std::ifstream saIn;
        saIn.open(inFileName.c_str(), std::ios::binary);
        int hasMagicNumber;
        hasMagicNumber = ReadMagicNumber(saIn);
        if (hasMagicNumber == 1) {
            ReadComponentList(saIn);
            if (componentList[CompArray]) {
                ReadArray(saIn);
            }
            if (componentList[CompLookupTable]) {
                ReadLookupTable(saIn);
            }
            saIn.close();
            return true;
        }
        else {
            saIn.close();
            return false;
        }
    }

    int SearchLCP(T* target, T* query, DNALength queryLength, SAIndex &low, SAIndex &high, DNALength &lcpLength, DNALength maxlcp) {
        //		cout << "searching lcp with query of length: " << queryLength << endl;
        lcpLength = 0;
        if (startPosTable != NULL and
                queryLength >= lookupPrefixLength) {
            Tuple lookupTuple;
            int left, right;
            // just in case this was changed.
            lookupTuple.FromStringLR(query, tm);
            left  = startPosTable[lookupTuple.tuple];
            right = endPosTable[lookupTuple.tuple];
            //
            // When left == right, the k-mer in the read did not exist in the
            // genome.  Don't even try and map it in this case.
            //
            if (left == right) {
                low = high = 0;
                return 0;
            }

            //
            // Otherwise, the sequence of length 'lookupPrefixLength' was found
            // in the genome.  The bounds of this prefix in the suffix array
            // are stored in the lookup tables, so begin the binary search there.
            //
            lcpLength = lookupPrefixLength;
            low = left, high = right;
        }
        else {
            low = 0; high = length - 1;
            lcpLength = 0;
        }		
        int prevLow = low;
        int prevHigh = high;
        int prevLCPLength = lcpLength - 1;

        // When the boundaries and the string share a prefix, it is not necessary
        // to use this as a comparison in further lcp searches.
        prevLCPLength = lcpLength;

        Search(target, query, queryLength, low, high, low, high, 0);

        DNALength lowLCP = lookupPrefixLength, highLCP = lookupPrefixLength;
        while (lowLCP < queryLength and index[low]+lowLCP < length and 
                target[index[low] + lowLCP] == query[lowLCP]) lowLCP++;

        while (highLCP < queryLength and index[high]+highLCP < length and 
                target[index[high] + highLCP] == query[highLCP]) highLCP++;

        DNALength minLCP = highLCP;
        if (lowLCP < highLCP ) { 
            minLCP = lowLCP;
        }

        while (minLCP >= (lookupPrefixLength -2 )and 
                low > 0 and high < (length - minLCP) and high - low < 10) {
            while(low  > 0 and StringEquals(&target[index[low]], minLCP, &target[index[high]], minLCP)) low--;
            while(high > 0 and StringEquals(&target[index[low]], minLCP, &target[index[high]], minLCP)) high++;
            --minLCP;
        }

        //
        // The LCP is not an exact match to the end of the string.
        //

        prevLow  = low;
        prevHigh = high;

        low = prevLow; high = prevHigh;
        if (low < high and high - low < 100) {
            return queryLength;
        }
        else {
            high = low - 1;
            lcpLength = 0;
        }
        return lcpLength;
    }

    int Search(T* target, T* query, DNALength queryLength, SAIndex left, SAIndex right, SAIndex &low, SAIndex &high, unsigned int offset=0) {
        if (offset >= queryLength) {
            return high - low;
        }
        SearchLow(target, query, queryLength, left, right, low, offset);
        SearchHigh(target, query, queryLength, left, right, high, offset);
        return high - low;
    }

    int Search(T* target, T* query, DNALength queryLength, SAIndex &low, SAIndex &high, int offset = 0) {

        int left = 0;
        int right = length - 1;
        //
        // Constrain the lookup if a lookup table exists.
        //
        if (startPosTable != NULL and
                queryLength >= lookupPrefixLength) {
            Tuple lookupTuple;
            lookupTuple.FromStringLR(query, tm);
            left  = startPosTable[lookupTuple.tuple];
            right = endPosTable[lookupTuple.tuple];
        }
        return Search(target, query, queryLength, left, right, low, high, offset);
    }


    long SearchLeftBound(T* target, long targetLength, DNALength targetOffset,  T queryChar, long l, long r) {
        long ll, lr;
        ll = l;
        lr = r;
        long m;
        long targetSufLen = 0;
        while (ll < lr) {
            m = (ll + lr) / 2;
            targetSufLen = targetLength - index[m];
            if (targetSufLen == targetOffset) {
                ll =m + 1;
                continue;
            }
            //
            // The suffix at index[m] is shorter than the lengths of the 
            // two sequences being compared.  With the Larsson
            // implementation, that means that the target suffix is lex-less
            // than the read.
            int comp;
            if (targetSufLen < targetOffset) {
                comp = -1;
            }
            else {
                //
                // There is enough sequence to compare the target suffix with
                // the query suffix.
                //
                assert(index[m]+targetOffset < targetLength);

                /*
                   if (ThreeBit[target[index[m]+targetOffset]] >= 4 or 
                   ThreeBit[queryChar] >= 4) {
                   lr = ll;
                   break;
                   }
                   */
                comp = Compare::Compare(target[index[m]+targetOffset], queryChar);

            }
            if (comp < 0) {
                ll = m + 1;
            }
            else {
                lr = m;
            }
        }
        return ll;
    }

    long SearchRightBound(T* target, long targetLength, DNALength targetOffset, 
            T queryChar, long l, long r) {
        long rl, rr;
        rl = l;
        rr = r;
        long m;
        long targetSufLen;
        while (rl < rr) {
            m = (rl + rr) / 2;
            targetSufLen = targetLength - index[m];
            if (targetSufLen == targetOffset) { 
                rr = m;
                break; 
            }
            if (targetSufLen < targetOffset) {
                rr = m ;
            }
            else {
                /*
                 * Do not try and map stretches of N. These do not add
                 * infomrative anchors.
                 */
                /*
                   if (ThreeBit[target[index[m]+targetOffset]] >= 4 or
                   ThreeBit[queryChar] >= 4) {
                   rl = rr;
                   break;
                   }
                   */
                int comp = Compare::Compare(target[index[m] + targetOffset], queryChar);
                if (comp <= 0) {
                    rl = m + 1;
                }
                else {
                    rr = m ;
                }
            }
        }
        return rr;
    }

    /*
     * Search the suffix array for the bounds l and r that specify the
     * indices in the suffix array that have the longest common prefix
     * between the read and the genome.
     */

    int SearchLCPBounds(T*target, long targetLength, T*query, DNALength queryLength, SAIndex &l, SAIndex &r, DNALength &refOffset, DNALength &queryOffset) {
        //	 l = 0; r = targetLength;
        for (; refOffset < targetLength and  queryOffset < queryLength and l < r; queryOffset++, refOffset++) {
            std::cout << "bounds: " << l << ", " << r << std::endl;
            //
            // Band l by the character at query[offset]
            //

            l = SearchLeftBound(target, targetLength, refOffset, query[queryOffset], l, r);

            //
            // If the current search is past the end of the suffix array, it
            // will be impossible to extend.
            //
            if (index[l] + refOffset >= targetLength or 
                    Compare::Compare(target[index[l] + refOffset], query[queryOffset]) != 0) {
                break;
            }

            r = SearchRightBound(target, targetLength, refOffset, query[queryOffset], l, r);
            if (Compare::Compare(query[queryOffset], target[index[l]+refOffset]) != 0 or
                    Compare::Compare(query[queryOffset], target[index[r]+refOffset]) != 0) {
                break;
            }
        }
        return refOffset;
    }


    int StoreLCPBounds(T *target, long targetLength,
            T *query,  long queryLength,
            SAIndex &low, SAIndex &high) {

        DNALength targetOffset = 0;
        DNALength queryOffset  = 0;

        DNALength lcpLength = 0;
        low = 0; high = targetLength;
        for (; index[low] + targetOffset < targetLength and
                targetOffset < targetLength  and 
                queryOffset < queryLength and 
                low < high ;
                targetOffset++, queryOffset++, lcpLength++) {
            //
            // Band l by the character at query[offset]
            //

            low = SearchLeftBound(target, targetLength, targetOffset, query[queryOffset], low, high);

            //
            // If the current search is past the end of the suffix array, it
            // will be impossible to extend.
            //
            if (index[low] + targetOffset > targetLength or 
                    Compare::Compare(target[index[low] + targetOffset], query[queryOffset]) != 0 or
                    ThreeBit[query[queryOffset]] > 3) {
                break;
            }

            high = SearchRightBound(target, targetLength, targetOffset, query[queryOffset], low, high);

        }
        return lcpLength;

    }

    int CountNumBranches(T* target, DNALength targetLength, DNALength targetOffset, SAIndex low, SAIndex high) {
        //
        // look to see how many different characters start suffices between
        // low and high at targetOffset
        //

        // Check some easy boundary conditions.
        //

        // 1. No branches (indices do not define any subset of the suffix
        // array). 
        if (high <= low) {
            return 0;
        }
        // 2. One branch, 
        if (target[index[low] + targetOffset ] == target[index[high-1] + targetOffset]) {
            return 1;
        }
        int numBranches = 1;
        // More than one branch.
        while ( low < high ) {
            //
            // Find the band where the suffices share the same chatacter
            // 'targetOffset' bases into the suffix as the first suffix in
            // the band given to this function.
            //
            SAIndex curCharHigh = high;
            curCharHigh = SearchRightBound(target, targetLength, targetOffset, target[index[low]+targetOffset], low, high);
            if (curCharHigh != high) {
                ++numBranches;
            }
            low = curCharHigh;
        }
        return numBranches;
    }


    int StoreLCPBounds(T *target, long targetLength, // The string which the suffix array is built on.
            T *query, DNALength queryLength, // The query string. search starts at pos 0 in this string
            bool useLookupTable,  // Should the indices of the first k bases be determined by a lookup table?
            int  maxMatchLength,  // Stop extending match at lcp length = maxMatchLength,
            // Vectors containing lcpLeft and lcpRight from 0 ... lcpLength.
            std::vector<SAIndex> &lcpLeftBounds, std::vector<SAIndex> &lcpRightBounds,
            bool stopOnceUnique=false) {

        //
        // Precondition: target[l][0] >= query[offset]
        //
        long l, r;

        l = 0; r = targetLength;
        DNALength lcpLength = 0;
        Tuple lookupTuple;
        lookupTuple.tuple = -1;

        /*
         * Various parameters may make the search through the SA not use
         * the full binary search. If priorLCP is > 0, the search for an
         * LCP is limited to lcpLeftBounds[priorLCP] and lcpRightBounds[priorLCP].
         * This is the case when continuing a search using branched
         * re-uses previous lcp searches.
         */

        if (useLookupTable and 
                startPosTable != NULL) {
            // just in case this was changed.
            if (lookupTuple.FromStringLR(query, tm)) {
                l  = startPosTable[lookupTuple.tuple];
                r  = endPosTable[lookupTuple.tuple];
                lcpLength = lookupPrefixLength;
            }
            else {
                //
                // Not able to find a match for this sequence, so do not
                // register a hit.
                //
                l = 0;
                r = 0;
                lcpLength = 0;
                return 0;
            }
            //
            // the values of startPosTable and endPosTable are the same when
            // there are no matches.  When they are not equal, a valid range
            // has been found, so store this.
            //
            if (l < r) {
                VectorIndex off_i;
                VectorIndex boundLength = lcpLeftBounds.size();
                lcpLeftBounds.push_back(l);
                lcpRightBounds.push_back(r);
            }
            else {
                //
                // No exact match found in the lookup table, do not bother
                // searching, and return 0 lcp length.
                //
                return 0;
            }
        }

        //
        // Search the suffix array for the longest common prefix between
        // the read and the genome.
        //
        while( l < r and  
                lcpLength < queryLength // stop searching when the end of
                // the query is reached.
             ) {

            //
            // If there is only one match in the suffix array, and and not
            // extending matches as far as possible (stopping the search once
            // they are unique), halt the search.
            if (stopOnceUnique and l == r - 1) {
                break;
            }

            //
            // If there is a maximal match length and it is reached, stop
            // searchign as well.
            //
            if (maxMatchLength and lcpLength >= maxMatchLength) {
                break;
            }

            //
            // If the match extends into one or more N's, stop.  The reason
            // for this is that sometimes people will set up genome databases
            // by appending a stretch of N's between matches (although they
            // should just use a multi-fasta file).  Since the reads also
            // have stretches of N's, this tends to slow the search down
            // dramatically. 
            if (ThreeBit[target[index[l] + lcpLength]] >= 4) {
                break;
            }

            //
            // Find the bounds in the suffix array matching query[0... lcp]
            // and target.
            //

            l = SearchLeftBound(target, targetLength, lcpLength, query[lcpLength], l, r);
            r = SearchRightBound(target, targetLength, lcpLength, query[lcpLength], l, r);


            //
            // If the current search is past the end of the suffix array, it
            // will be impossible to extend.
            //
            if (l == r or // if this point is reached, stop loop now since
                    // otherwise the lcp length will be incremented by
                    // 1, which will give one longer than the actual
                    // LCP length.
                    index[l] + lcpLength >= targetLength or  // This shouldn't
                    // happen
                    // End on a mismatch.
                    ThreeBit[query[lcpLength]] >= 4 or 
                    Compare::Compare(target[index[l] + lcpLength], query[lcpLength]) != 0

               ) {
                break;
            }



            //
            // Store the bounds for the current offset.  These are used later
            // to expand the search if necessary.
            //
            lcpLeftBounds.push_back(l);
            lcpRightBounds.push_back(r);
            lcpLength++;


        }
        return lcpLength;
    }


    int SearchLow(T *target, T *query, DNALength queryLength, SAIndex l, SAIndex r, SAIndex &low, unsigned int offset=0) {

        long midPos;
        int high;
        int numSteps = 0;
        // 
        // Boundary conditions, the string is either before (lexicographically) the text
        // or after.
        //
        if (StringLessThanEqual(&query[offset], 
                    queryLength-offset, 
                    &target[index[l]+offset], 
                    length - index[l]-offset)) {
            low = l;
            return low;
        }
        else if (StringLessThan(&target[index[r]+offset], 
                    length - index[r] - offset , 
                    &query[offset], 
                    queryLength  - offset)) {
            low = length;
            return low;
        }

        //
        // The string fits somewhere in the text.
        //
        low = l;
        high = r;
        long diff = ((long) high) - ((long) low);
        while (diff > 1) {
            ++numSteps;
            midPos = ((long) high) + ((long) low);
            midPos = midPos / 2;
            if (StringLessThanEqual(&query[offset], queryLength-offset, &target[index[midPos]+offset], length - index[midPos]-offset)) {
                high = midPos;
            }
            else {
                low = midPos;
            }
            diff = ((long) high) - ((long) low);
        }

        //
        // The search is for the least position such that the query is greater than or equal to the text.
        // High tracks the positions that may be equal to the query, and low is strictly less than the query. 
        // At the end of the search, high is either pointing to the query, or the first element where the query
        // could be placed before high without changing the order of target.
        //
        low = high;
        diff = ((long) high) - ((long) low);
        return low;
        //		cout << "search low took: " << numSteps << endl;
    }


    int SearchHigh(T *target, T *query, DNALength queryLength, SAIndex l, SAIndex r,  SAIndex &high, unsigned int offset=0) {

        //
        // Find the last position where the query is less than the target.
        //
        long midPos;
        int low;
        int numSteps = 0;
        // 
        // Boundary conditions, the string is either before (lexicographically) the text
        // or after.
        //
        if (StringLessThan(&target[index[r]+offset], length - index[r] - offset, &query[offset], queryLength-offset)) {
            high = -1;
            return high;
        }

        //
        // The string fits somewhere in the text.
        //
        low = l;
        high = r;
        long diff = ((long) high) - ((long) low);
        while (diff > 1) {
            ++numSteps;
            midPos = ((long) high) + ((long) low);
            midPos = midPos / 2;
            if (StringLessThan(&query[offset], queryLength - offset, &target[index[midPos]+offset], length - index[midPos] - offset)) {
                high = midPos;
            }
            else {
                low = midPos;
            }
            diff = ((long) high) - ((long) low);
        }

        //
        // The search is for the last position where the query is less than or equal to the text.  High is 
        // strictly greater than or the query.  Low is less than or equal to the query.  At the end, low will be 
        // the last spot where query could be inserted after and not wreck the ordering of the array.
        //
        high = low;
        //		cout << "search high took: " << numSteps << " steps." << endl;
    }
};



#endif // _BLASR_SUFFIX_ARRAY_HPP_