Exemple #1
0
static void offlist(void *bp){
    if (PREV(bp) && NEXT(bp)){
	PUT(SUC(PREV(bp)), NEXT(bp));
	PUT(NEXT(bp), PREV(bp));
    }
    else if (PREV(bp)){
	PUT(SUC(PREV(bp)), NULL);
	endfree = PREV(bp);
    }
    else if (NEXT(bp))
	PUT(NEXT(bp), NULL);
    else
	endfree = 0; 
}
Exemple #2
0
/*
 * mm_free - Freeing a block does nothing.
 */
void mm_free(void *ptr)
{
    void* bp;
    bp=ptr;
    size_t size = GET_SIZE(HDRP(bp));

    PUT(HDRP(bp),PACK(size,0));
    PUT(FTRP(bp),PACK(size,0));

    PUT(bp, endfree);
    PUT(SUC(bp), NULL);
    if (endfree)
	PUT(SUC(endfree), bp);
    endfree = bp;
    coalesce(bp);
}
Exemple #3
0
/*
 * mm_realloc - Implemented simply in terms of mm_malloc and mm_free
 */
void *mm_realloc(void *ptr, size_t size)
{   
    size_t asize;  //adjusted block size
    if (size <= DSIZE)
        asize = 2*DSIZE;
    else 
        asize = DSIZE * ((size + (DSIZE)+(DSIZE-1))/DSIZE);
    
    size_t oldSize=GET_SIZE(HDRP(ptr));
    size_t nextSize=GET_SIZE(HDRP(NEXT_BLKP(ptr)));
    //if two blocks can fit, then we just return the original ptr and adjust the size
    if(!GET_ALLOC(HDRP(NEXT_BLKP(ptr)))){
        if(asize < (oldSize+nextSize-2*DSIZE)){
            void *bp=ptr;
            void* prevfree=PREV(NEXT_BLKP(ptr));
            void* nextfree=NEXT(NEXT_BLKP(ptr));

            PUT(HDRP(bp),PACK(asize,1));
            PUT(FTRP(bp),PACK(asize,1));
            bp=(char*)bp+asize;
            PUT(HDRP(bp),PACK(oldSize+nextSize-asize,0));
            PUT(FTRP(bp),PACK(oldSize+nextSize-asize,0));
            PUT(bp,prevfree);

            if(prevfree)
                PUT(SUC(prevfree),bp);
            if(nextfree)
                PUT(nextfree,bp);
            else endfree=bp;
            return ptr;
        }
    }

    //else...
    void *oldptr = ptr;
    size_t copySize;
    void *newptr;

    if(ptr == NULL)
       return mm_malloc(size);
 
    if (asize==0) {
        mm_free(oldptr);
        return NULL;
    }
   
    else{
        newptr = mm_malloc(size);
        if (newptr == NULL)
           return NULL;
        copySize = GET_SIZE(HDRP(oldptr));
        if (asize < copySize)
           copySize = asize;
        memcpy(newptr, oldptr, copySize-WSIZE);
        mm_free(oldptr);
        return newptr;
    }
}
void LKH::LKHAlg::NormalizeNodeList()
{
    Node *t1, *t2;

    t1 = FirstNode;
    do {
        t2 = SUC(t1);
        t1->Pred = PRED(t1);
        t1->Suc = t2;
    }
    while ((t1 = t2) != FirstNode);
}
Exemple #5
0
static void place (void*bp, size_t asize){
    size_t csize = GET_SIZE(HDRP(bp));

    offlist(bp);
    if((csize - asize) >= (2*DSIZE)) {
        PUT(HDRP(bp),PACK(asize,1));
        PUT(FTRP(bp),PACK(asize,1));
        bp = NEXT_BLKP(bp);
        PUT(HDRP(bp),PACK(csize-asize,0));
        PUT(FTRP(bp),PACK(csize-asize,0));
        
        PUT(bp, endfree);
        PUT(SUC(bp), NULL);
        if (endfree)
            PUT(SUC(endfree), bp);
        endfree = bp;
    }
    else{
        PUT(HDRP(bp),PACK(csize,1));
        PUT(FTRP(bp),PACK(csize,1));
    }
}
Exemple #6
0
static void *extend_heap(size_t words){
    char *bp;
    size_t size;

    /*Allocate an even numer of words to maintain alignment*/
    size = (words%2)? (words+1)*WSIZE : words * WSIZE;
    if((long)(bp=mem_sbrk(size))== -1)
        return NULL;

    /*Initialize free block header/footer and the epilogue header*/
    PUT(HDRP(bp),PACK(size,0));   //free block header
    PUT(FTRP(bp),PACK(size,0));   //free block footer
    PUT(HDRP(NEXT_BLKP(bp)),PACK(0,1));  //New epilogue header

    PUT(bp, endfree);
    PUT(SUC(bp), NULL);
    if (endfree)
        PUT(SUC(endfree), bp);
    endfree = bp;
    /*Coalesce if the previous block was free*/
    return coalesce(bp);
}
Exemple #7
0
GainType LKH::LKHAlg::PatchCycles(int k, GainType Gain)
{
    Node *s1, *s2, *sStart, *sStop;
    GainType NewGain;
    int M, i;

	if(!CurrentCycle.get())
	{
		CurrentCycle.reset(new int(0));
		Patchwork.reset(new int(0));
		RecLevel.reset(new int(0));
	}
	FindPermutation(k,this);
    M = Cycles(k);
    if (M == 1 && Gain > 0) {
        MakeKOptMove(k);
        return Gain;
    }
    if (M == 1 || M > PatchingC || k + M > NonsequentialMoveType)
        return 0;
    if (*RecLevel == 0)
        *Patchwork = 0;
    *CurrentCycle = ShortestCycle(M, k,this);
    for (i = 0; i < k; i++) {
        if ((*cycle.get())[(*p.get())[2 * i]] != *CurrentCycle)
            continue;
        sStart = (*t.get())[(*p.get())[2 * i]];
        sStop = (*t.get())[(*p.get())[2 * i + 1]];
        for (s1 = sStart; s1 != sStop; s1 = s2) {
            s2 = SUC(s1);
            if (FixedOrCommon(s1, s2))
                continue;
            if (++(*Patchwork) > Dimension)
                return 0;
            (*t.get())[2 * k + 1] = s1;
            (*t.get())[2 * k + 2] = s2;
            MarkDeleted(s1, s2);
            /* Find a set of gainful alternating cycles */
            NewGain = PatchCyclesRec(k, 2, M, Gain + (this->*C)(s1, s2),this);
            UnmarkDeleted(s1, s2);
            if (NewGain > 0)
                return NewGain;
        }
    }
    return 0;
}
Exemple #8
0
void
LKH::LKHAlg::Make4OptMove(Node * t1, Node * t2, Node * t3, Node * t4,
             Node * t5, Node * t6, Node * t7, Node * t8, int Case)
{
    if (SUC(t1) != t2)
        Reversed ^= 1;
    switch (Case) {
    case 1:
    case 2:
        Swap3(t1, t2, t3, t6, t5, t4, t7, t8, t1);
        return;
    case 3:
    case 4:
        Swap3(t1, t2, t3, t8, t7, t6, t5, t8, t1);
        return;
    case 5:
        if (!BETWEEN(t2, t7, t3))
            Swap3(t5, t6, t7, t2, t1, t4, t1, t4, t5);
        else if (BETWEEN(t2, t7, t6))
            Swap3(t5, t6, t7, t5, t8, t3, t3, t8, t1);
        else
            Swap3(t1, t2, t7, t7, t2, t3, t4, t7, t6);
        return;
    case 6:
        Swap3(t3, t4, t5, t6, t3, t2, t1, t6, t7);
        return;
    case 7:
        Swap3(t6, t5, t8, t2, t1, t4, t8, t5, t4);
        return;
    case 11:
        Swap3(t1, t2, t7, t3, t4, t5, t3, t6, t7);
        return;
    case 12:
        Swap3(t3, t4, t5, t7, t8, t1, t3, t6, t7);
        return;
    case 15:
        Swap3(t3, t4, t5, t3, t6, t7, t8, t3, t2);
        return;
    default:
        eprintf("Make4OptMove: Internal error");
    }
}
Exemple #9
0
static void *coalesce(void *bp)
{
    size_t prev_alloc = GET_ALLOC(FTRP(PREV_BLKP(bp)));
    size_t next_alloc = GET_ALLOC(HDRP(NEXT_BLKP(bp)));
    size_t size = GET_SIZE(HDRP(bp));

    if(prev_alloc && next_alloc){
        return bp;
    }

    else if (prev_alloc && !next_alloc){
        offlist(NEXT_BLKP(bp));

        size += GET_SIZE(HDRP(NEXT_BLKP(bp)));
	PUT(SUC(NEXT_BLKP(bp)), GET(SUC(bp)));
        PUT(HDRP(bp),PACK(size,0));
        PUT(FTRP(bp),PACK(size,0));
    }

    else if (!prev_alloc && next_alloc){
        offlist(bp);

        size += GET_SIZE(HDRP(PREV_BLKP(bp)));
	PUT(SUC(bp), GET(SUC(PREV_BLKP(bp))));
        PUT(FTRP(bp),PACK(size,0));
        PUT(HDRP(PREV_BLKP(bp)),PACK(size,0));
        bp = PREV_BLKP(bp);
    }

    else {
        offlist(bp);
        offlist(NEXT_BLKP(bp));

        size += GET_SIZE(HDRP(PREV_BLKP(bp))) + GET_SIZE(FTRP(NEXT_BLKP(bp)));
	PUT(SUC(NEXT_BLKP(bp)), GET(SUC(PREV_BLKP(bp))));
        PUT(HDRP(PREV_BLKP(bp)),PACK(size,0));
        PUT(FTRP(NEXT_BLKP(bp)),PACK(size,0));
        bp = PREV_BLKP(bp);
    }
    return bp;
}
Exemple #10
0
void Flip_SL(Node * t1, Node * t2, Node * t3)
{
    Node *t4, *a, *b, *c, *d;
    Segment *P1, *P2, *P3, *P4, *Q1, *Q2;
    Node *s1, *s2;
    int i, Temp;

    assert(t1->Pred == t2 || t1->Suc == t2);
    if (t3 == t2->Pred || t3 == t2->Suc)
        return;
    if (Groups == 1) {
        Flip(t1, t2, t3);
        return;
    }
    t4 = t2 == SUC(t1) ? PRED(t3) : SUC(t3);
    P1 = t1->Parent;
    P2 = t2->Parent;
    P3 = t3->Parent;
    P4 = t4->Parent;
    /* Split segments if needed */
    if (P1 != P3 && P2 != P4) {
        if (P1 == P2) {
            SplitSegment(t1, t2);
            P1 = t1->Parent;
            P2 = t2->Parent;
        }
        if (P3 == P4 && P1 != P3 && P2 != P4) {
            SplitSegment(t3, t4);
            P3 = t3->Parent;
            P4 = t4->Parent;
        }
    } else
        if ((P1 == P3
             && abs(t3->Rank - t1->Rank) > SPLIT_CUTOFF * GroupSize)
            || (P2 == P4
                && abs(t4->Rank - t2->Rank) > SPLIT_CUTOFF * GroupSize)) {
        if (P1 == P2) {
            SplitSegment(t1, t2);
            P1 = t1->Parent;
            P2 = t2->Parent;
            P3 = t3->Parent;
            P4 = t4->Parent;
        }
        if (P3 == P4) {
            SplitSegment(t3, t4);
            P1 = t1->Parent;
            P2 = t2->Parent;
            P3 = t3->Parent;
            P4 = t4->Parent;
        }
    }
    /* Check if it is possible to flip locally within a segment */
    b = 0;
    if (P1 == P3) {
        /* Either the t1 --> t3 path or the t2 --> t4 path lies 
           within one segment */
        if (t1->Rank < t3->Rank) {
            if (P1 == P2 && P1 == P4 && t2->Rank > t1->Rank) {
                a = t1;
                b = t2;
                c = t3;
                d = t4;
            } else {
                a = t2;
                b = t1;
                c = t4;
                d = t3;
            }
        } else {
            if (P1 == P2 && P1 == P4 && t2->Rank < t1->Rank) {
                a = t3;
                b = t4;
                c = t1;
                d = t2;
            } else {
                a = t4;
                b = t3;
                c = t2;
                d = t1;
            }
        }
    } else if (P2 == P4) {
        /* The t2 --> t4 path lies within one segment */
        if (t4->Rank < t2->Rank) {
            a = t3;
            b = t4;
            c = t1;
            d = t2;
        } else {
            a = t1;
            b = t2;
            c = t3;
            d = t4;
        }
    }
    if (b) {
        int Cbc = C(b, c), Cda = C(d, a);
        /* Flip locally (b --> d) within a segment */
        i = d->Rank;
        d->Suc = 0;
        s2 = b;
        while ((s1 = s2)) {
            s2 = s1->Suc;
            s1->Suc = s1->Pred;
            s1->Pred = s2;
            s1->Rank = i--;
            Temp = s1->SucCost;
            s1->SucCost = s1->PredCost;
            s1->PredCost = Temp;
        }
        d->Pred = a;
        b->Suc = c;
        d->PredCost = Cda;
        b->SucCost = Cbc;
        if (a->Suc == b) {
            a->Suc = d;
            a->SucCost = d->PredCost;
        } else {
            a->Pred = d;
            a->PredCost = d->PredCost;
        }
        if (c->Pred == d) {
            c->Pred = b;
            c->PredCost = b->SucCost;
        } else {
            c->Suc = b;
            c->SucCost = b->SucCost;
        }
        if (b->Parent->First == b)
            b->Parent->First = d;
        else if (d->Parent->First == d)
            d->Parent->First = b;
        if (b->Parent->Last == b)
            b->Parent->Last = d;
        else if (d->Parent->Last == d)
            d->Parent->Last = b;
    } else {
        int Ct2t3, Ct4t1;
        /* Reverse a sequence of segments */
        if (P1->Suc != P2) {
            a = t1;
            t1 = t2;
            t2 = a;
            a = t3;
            t3 = t4;
            t4 = a;
            Q1 = P1;
            P1 = P2;
            P2 = Q1;
            Q1 = P3;
            P3 = P4;
            P4 = Q1;
        }
        /* Find the sequence with the smallest number of segments */
        if ((i = P2->Rank - P3->Rank) < 0)
            i += Groups;
        if (2 * i > Groups) {
            a = t3;
            t3 = t2;
            t2 = a;
            a = t1;
            t1 = t4;
            t4 = a;
            Q1 = P3;
            P3 = P2;
            P2 = Q1;
            Q1 = P1;
            P1 = P4;
            P4 = Q1;
        }
        Ct2t3 = C(t2, t3);
        Ct4t1 = C(t4, t1);
        /* Reverse the sequence of segments (P3 --> P1). 
           Mirrors the corresponding code in the Flip function */
        i = P1->Rank;
        P1->Suc = 0;
        Q2 = P3;
        while ((Q1 = Q2)) {
            Q2 = Q1->Suc;
            Q1->Suc = Q1->Pred;
            Q1->Pred = Q2;
            Q1->Rank = i--;
            Q1->Reversed ^= 1;
        }
        P3->Suc = P2;
        P2->Pred = P3;
        P1->Pred = P4;
        P4->Suc = P1;
        if (t3->Suc == t4) {
            t3->Suc = t2;
            t3->SucCost = Ct2t3;
        } else {
            t3->Pred = t2;
            t3->PredCost = Ct2t3;
        }
        if (t2->Suc == t1) {
            t2->Suc = t3;
            t2->SucCost = Ct2t3;
        } else {
            t2->Pred = t3;
            t2->PredCost = Ct2t3;
        }
        if (t1->Pred == t2) {
            t1->Pred = t4;
            t1->PredCost = Ct4t1;
        } else {
            t1->Suc = t4;
            t1->SucCost = Ct4t1;
        }
        if (t4->Pred == t3) {
            t4->Pred = t1;
            t4->PredCost = Ct4t1;
        } else {
            t4->Suc = t1;
            t4->SucCost = Ct4t1;
        }
    }
    SwapStack[Swaps].t1 = t1;
    SwapStack[Swaps].t2 = t2;
    SwapStack[Swaps].t3 = t3;
    SwapStack[Swaps].t4 = t4;
    Swaps++;
    Hash ^= (Rand[t1->Id] * Rand[t2->Id]) ^
        (Rand[t3->Id] * Rand[t4->Id]) ^
        (Rand[t2->Id] * Rand[t3->Id]) ^ (Rand[t4->Id] * Rand[t1->Id]);
}
Exemple #11
0
Node *Best2OptMove(Node * t1, Node * t2, GainType * G0, GainType * Gain)
{
    Node *t3, *t4, *T3 = 0, *T4 = 0;
    Candidate *Nt2;
    GainType G1, G2, BestG2 = MINUS_INFINITY;
    int Breadth2 = 0;

    if (SUC(t1) != t2)
        Reversed ^= 1;

    /* 
     * Determine (T3,T4) = (t3,t4)
     * such that 
     *
     *     G4 = *G0 - C(t2,T3) + C(T3,T4)
     *
     * is maximum (= BestG2), and (T3,T4) has not previously been included.
     * If during this process a legal move with *Gain > 0 is found, then make
     * the move and exit Best2OptMove immediately 
     */

    /* Choose (t2,t3) as a candidate edge emanating from t2 */
    for (Nt2 = t2->CandidateSet; (t3 = Nt2->To); Nt2++) {
        if (t3 == t2->Pred || t3 == t2->Suc ||
            ((G1 = *G0 - Nt2->Cost) <= 0 && GainCriterionUsed &&
             ProblemType != HCP && ProblemType != HPP))
            continue;
        /* Choose t4 (only one choice gives a closed tour) */
        t4 = PRED(t3);
        if (FixedOrCommon(t3, t4))
            continue;
        G2 = G1 + C(t3, t4);
        if (!Forbidden(t4, t1) &&
            (!c || G2 - c(t4, t1) > 0) && (*Gain = G2 - C(t4, t1)) > 0) {
            Swap1(t1, t2, t3);
            *G0 = G2;
            return 0;
        }
        if (++Breadth2 > MaxBreadth)
            break;
        if (GainCriterionUsed && G2 - Precision < t4->Cost)
            continue;
        if (!Backtracking || Swaps > 0) {
            if (G2 > BestG2 &&
                Swaps < MaxSwaps &&
                Excludable(t3, t4) && (!InInputTour(t3, t4)
                                       || !Near(t3, t4))) {
                T3 = t3;
                T4 = t4;
                BestG2 = G2;
            }
        } else if (MaxSwaps > 0) {
            GainType G = G2;
            Node *t = t4;
            Make2OptMove(t1, t2, t3, t4);
            Exclude(t1, t2);
            Exclude(t3, t4);
            while ((t = BestSubsequentMove(t1, t, &G, Gain)));
            if (*Gain > 0)
                return 0;
            RestoreTour();
            if (t2 != SUC(t1))
                Reversed ^= 1;
        }
    }
    *Gain = 0;
    if (T4) {
        /* Make the best 2-opt move */
        Swap1(t1, t2, T3);
        Exclude(t1, t2);
        Exclude(T3, T4);
        *G0 = BestG2;
    }
    return T4;
}
Exemple #12
0
GainType LinKernighan()
{
    Node *t1, *t2, *SUCt1;
    GainType Gain, G0, Cost;
    int X2, i, it = 0;
    Candidate *Nt1;
    Segment *S;
    SSegment *SS;
    double EntryTime = GetTime();

    Reversed = 0;
    S = FirstSegment;
    i = 0;
    do {
        S->Size = 0;
        S->Rank = ++i;
        S->Reversed = 0;
        S->First = S->Last = 0;
    }
    while ((S = S->Suc) != FirstSegment);
    SS = FirstSSegment;
    i = 0;
    do {
        SS->Size = 0;
        SS->Rank = ++i;
        SS->Reversed = 0;
        SS->First = SS->Last = 0;
    }
    while ((SS = SS->Suc) != FirstSSegment);

    FirstActive = LastActive = 0;
    Swaps = 0;

    /* Compute the cost of the initial tour, Cost.
       Compute the corresponding hash value, Hash.
       Initialize the segment list.
       Make all nodes "active" (so that they can be used as t1). */
    Cost = 0;
    Hash = 0;
    i = 0;
    t1 = FirstNode;
    do {
        t2 = t1->OldSuc = t1->Suc;
        t1->OldPred = t1->Pred;
        t1->Rank = ++i;
        Cost += (t1->SucCost = t2->PredCost = C(t1, t2)) - t1->Pi - t2->Pi;
        Hash ^= Rand[t1->Id] * Rand[t2->Id];
        t1->Cost = INT_MAX;
        for (Nt1 = t1->CandidateSet; (t2 = Nt1->To); Nt1++)
            if (t2 != t1->Pred && t2 != t1->Suc && Nt1->Cost < t1->Cost)
                t1->Cost = Nt1->Cost;
        t1->Parent = S;
        S->Size++;
        if (S->Size == 1)
            S->First = t1;
        S->Last = t1;
        if (SS->Size == 0)
            SS->First = S;
        S->Parent = SS;
        SS->Last = S;
        if (S->Size == GroupSize) {
            S = S->Suc;
            SS->Size++;
            if (SS->Size == SGroupSize)
                SS = SS->Suc;
        }
        t1->OldPredExcluded = t1->OldSucExcluded = 0;
        t1->Next = 0;
        if (KickType == 0 || Kicks == 0 ||
            !InBestTour(t1, t1->Pred) || !InBestTour(t1, t1->Suc))
            Activate(t1);
    }
    while ((t1 = t1->Suc) != FirstNode);
    if (S->Size < GroupSize)
        SS->Size++;
    Cost /= Precision;
    if (TraceLevel >= 3 || (TraceLevel == 2 && Cost < BetterCost)) {
        printff("Cost = " GainFormat, Cost);
        if (Optimum != MINUS_INFINITY && Optimum != 0)
            printff(", Gap = %0.4f%%", 100.0 * (Cost - Optimum) / Optimum);
        printff(", Time = %0.1f sec. %s\n", fabs(GetTime() - EntryTime),
                Cost < Optimum ? "<" : Cost == Optimum ? "=" : "");
    }
    PredSucCostAvailable = 1;

    /* Loop as long as improvements are found */
    do {
        /* Choose t1 as the first "active" node */
        while ((t1 = RemoveFirstActive())) {
            /* t1 is now "passive" */
            SUCt1 = SUC(t1);
            if ((TraceLevel >= 3 || (TraceLevel == 2 && Trial == 1)) &&
                ++it % (Dimension >= 100000 ? 10000 :
                        Dimension >= 10000 ? 1000 : 100) == 0)
                printff("#%d: Time = %0.1f sec.\n",
                        it, fabs(GetTime() - EntryTime));
            /* Choose t2 as one of t1's two neighbors on the tour */
            for (X2 = 1; X2 <= 2; X2++) {
                t2 = X2 == 1 ? PRED(t1) : SUCt1;
                if (FixedOrCommon(t1, t2) ||
                    (RestrictedSearch && Near(t1, t2) &&
                     (Trial == 1 ||
                      (Trial > BackboneTrials &&
                       (KickType == 0 || Kicks == 0)))))
                    continue;
                G0 = C(t1, t2);
                /* Try to find a tour-improving chain of moves */
                do
                    t2 = Swaps == 0 ? BestMove(t1, t2, &G0, &Gain) :
                        BestSubsequentMove(t1, t2, &G0, &Gain);
                while (t2);
                if (Gain > 0) {
                    /* An improvement has been found */
                    assert(Gain % Precision == 0);
                    Cost -= Gain / Precision;
                    if (TraceLevel >= 3 ||
                        (TraceLevel == 2 && Cost < BetterCost)) {
                        printff("Cost = " GainFormat, Cost);
                        if (Optimum != MINUS_INFINITY && Optimum != 0)
                            printff(", Gap = %0.4f%%",
                                    100.0 * (Cost - Optimum) / Optimum);
                        printff(", Time = %0.1f sec. %s\n",
                                fabs(GetTime() - EntryTime),
                                Cost < Optimum ? "<" : Cost ==
                                Optimum ? "=" : "");
                    }
                    StoreTour();
                    if (HashSearch(HTable, Hash, Cost))
                        goto End_LinKernighan;
                    /* Make t1 "active" again */
                    Activate(t1);
                    break;
                }
                RestoreTour();
            }
        }
        if (HashSearch(HTable, Hash, Cost))
            goto End_LinKernighan;
        HashInsert(HTable, Hash, Cost);
        /* Try to find improvements using non-sequential 4/5-opt moves */
        Gain = 0;
        if (Gain23Used && (Gain = Gain23()) > 0) {
            /* An improvement has been found */
            assert(Gain % Precision == 0);
            Cost -= Gain / Precision;
            StoreTour();
            if (TraceLevel >= 3 || (TraceLevel == 2 && Cost < BetterCost)) {
                printff("Cost = " GainFormat, Cost);
                if (Optimum != MINUS_INFINITY && Optimum != 0)
                    printff(", Gap = %0.4f%%",
                            100.0 * (Cost - Optimum) / Optimum);
                printff(", Time = %0.1f sec. + %s\n",
                        fabs(GetTime() - EntryTime),
                        Cost < Optimum ? "<" : Cost == Optimum ? "=" : "");
            }
            if (HashSearch(HTable, Hash, Cost))
                goto End_LinKernighan;
        }
    }
    while (Gain > 0);

  End_LinKernighan:
    PredSucCostAvailable = 0;
    NormalizeNodeList();
    NormalizeSegmentList();
    return Cost;
}
Exemple #13
0
LKH::LKHAlg::Node * LKH::LKHAlg::Best4OptMove(Node * t1, Node * t2, GainType * G0, GainType * Gain)
{
    Node *t3, *t4, *t5, *t6 = 0, *t7, *t8 = 0,
        *T3 = 0, *T4 = 0, *T5 = 0, *T6 = 0, *T7 = 0, *T8 = 0;
    Candidate *Nt2, *Nt4, *Nt6;
    GainType G1, G2, G3, G4, G5, G6, BestG6 = MINUS_INFINITY;
    int Case6 = 0, Case8 = 0, BestCase8 = 0, X4, X6, X8;
    int Breadth2 = 0, Breadth4, Breadth6;

    *Gain = 0;
    if (SUC(t1) != t2)
        Reversed ^= 1;

    /* 
     * Determine (T3,T4,T5,T6,T7,T8) = (t3,t4,t5,t6,t7,t8)
     * such that
     *
     *     G8 = *G0 - C(t2,T3) + C(T3,T4) 
     *              - C(T4,T5) + C(T5,T6)
     *              - C(T6,T7) + C(T7,T8)
     *
     * is maximum (= BestG6), and (T7,T8) has not previously been included.
     * If during this process a legal move with *Gain > 0 is found, then make
     * the move and exit Best4OptMove immediately. 
     */

    /* Choose (t2,t3) as a candidate edge emanating from t2 */
    for (Nt2 = t2->CandidateSet; (t3 = Nt2->To); Nt2++) {
        if (t3 == t2->Pred || t3 == t2->Suc ||
            ((G1 = *G0 - Nt2->Cost) <= 0 && GainCriterionUsed &&
             ProblemType != HCP && ProblemType != HPP))
            continue;
        if (++Breadth2 > MaxBreadth)
            break;
        /* Choose t4 as one of t3's two neighbors on the tour */
        for (X4 = 1; X4 <= 2; X4++) {
            t4 = X4 == 1 ? PRED(t3) : SUC(t3);
            if (FixedOrCommon(t3, t4))
                continue;
            G2 = G1 + (this->*C)(t3, t4);
            if (X4 == 1 &&
                !Forbidden(t4, t1) &&
                (!c || G2 - (this->*c)(t4, t1) > 0) && (*Gain = G2 - (this->*C)(t4, t1)) > 0)
            {
                Swap1(t1, t2, t3);
                return 0;
            }
            if (Backtracking && !Excludable(t3, t4))
                continue;
            Breadth4 = 0;
            /* Choose (t4,t5) as a candidate edge emanating from t4 */
            for (Nt4 = t4->CandidateSet; (t5 = Nt4->To); Nt4++) {
                if (t5 == t4->Pred || t5 == t4->Suc ||
                    ((G3 = G2 - Nt4->Cost) <= 0 && GainCriterionUsed &&
                     ProblemType != HCP && ProblemType != HPP))
                    continue;
                if (++Breadth4 > MaxBreadth)
                    break;
                /* Choose t6 as one of t5's two neighbors on the tour */
                for (X6 = 1; X6 <= 2; X6++) {
                    if (X4 == 1) {
                        if (X6 == 1) {
                            Case6 = 1 + !BETWEEN(t2, t5, t4);
                            t6 = Case6 == 1 ? SUC(t5) : PRED(t5);
                        } else {
                            t6 = t6 == t5->Pred ? t5->Suc : t5->Pred;
                            if ((t5 == t1 && t6 == t2) ||
                                (t5 == t2 && t6 == t1))
                                continue;
                            Case6 += 2;
                        }
                    } else if (BETWEEN(t2, t5, t3)) {
                        Case6 = 4 + X6;
                        t6 = X6 == 1 ? SUC(t5) : PRED(t5);
                        if (t6 == t1)
                            continue;
                    } else {
                        if (X6 == 2)
                            break;
                        Case6 = 7;
                        t6 = PRED(t5);
                        if (t6 == t2)
                            continue;
                    }
                    if (FixedOrCommon(t5, t6))
                        continue;
                    G4 = G3 + (this->*C)(t5, t6);
                    if ((Case6 <= 2 || Case6 == 5 || Case6 == 6) &&
                        !Forbidden(t6, t1) &&
                        (!c || G4 - (this->*c)(t6, t1) > 0) &&
                        (*Gain = G4 - (this->*C)(t6, t1)) > 0) {
                        Make3OptMove(t1, t2, t3, t4, t5, t6, Case6);
                        return 0;
                    }
                    if (Backtracking && !Excludable(t5, t6))
                        continue;
                    Breadth6 = 0;
                    /* Choose (t6,t7) as a candidate edge emanating from t6 */
                    for (Nt6 = t6->CandidateSet; (t7 = Nt6->To); Nt6++) {
                        if (t7 == t6->Pred || t7 == t6->Suc ||
                            (t6 == t2 && t7 == t3) ||
                            (t6 == t3 && t7 == t2) ||
                            ((G5 = G4 - Nt6->Cost) <= 0 &&
                             GainCriterionUsed &&
                             ProblemType != HCP && ProblemType != HPP))
                            continue;
                        if (++Breadth6 > MaxBreadth)
                            break;
                        /* Choose t8 as one of t7's two neighbors on the tour */
                        for (X8 = 1; X8 <= 2; X8++) {
                            if (X8 == 1) {
                                Case8 = Case6;
                                t8 = 0;
                                switch (Case6) {
                                case 1:
                                    t8 = BETWEEN(t2, t7,
                                                 t5) ? SUC(t7) : PRED(t7);
                                    break;
                                case 2:
                                    t8 = BETWEEN(t3, t7,
                                                 t6) ? SUC(t7) : PRED(t7);
                                    break;
                                case 3:
                                    if (BETWEEN(t5, t7, t4))
                                        t8 = SUC(t7);
                                    break;
                                case 4:
                                    if (BETWEEN(t2, t7, t5))
                                        t8 = BETWEEN(t2, t7,
                                                     t4) ? SUC(t7) :
                                            PRED(t7);
                                    break;
                                case 5:
                                    t8 = PRED(t7);
                                    break;
                                case 6:
                                    t8 = BETWEEN(t2, t7,
                                                 t3) ? SUC(t7) : PRED(t7);
                                    break;
                                case 7:
                                    if (BETWEEN(t2, t7, t3))
                                        t8 = SUC(t7);
                                    break;
                                }
                                if (t8 == 0)
                                    break;
                            } else {
                                if (Case6 != 3 && Case6 != 4 && Case6 != 7)
                                    break;
                                t8 = t8 == t7->Pred ? t7->Suc : t7->Pred;
                                Case8 += 8;
                            }
                            if (t8 == t1 ||
                                (t7 == t3 && t8 == t4) ||
                                (t7 == t4 && t8 == t3))
                                continue;
                            if (FixedOrCommon(t7, t8))
                                continue;
                            G6 = G5 + (this->*C)(t7, t8);
                            if (t8 != t1 &&
                                !Forbidden(t8, t1) &&
                                (!c || G6 - (this->*c)(t8, t1) > 0) &&
                                (*Gain = G6 - (this->*C)(t8, t1)) > 0) {
                                Make4OptMove(t1, t2, t3, t4, t5, t6, t7,
                                             t8, Case8);
                                return 0;
                            }
                            if (GainCriterionUsed &&
                                G6 - Precision < t8->Cost)
                                continue;
                            if (!Backtracking || Swaps > 0) {
                                if ((G6 > BestG6 ||
                                     (G6 == BestG6 && !Near(t7, t8) &&
                                      Near(T7, T8))) &&
                                    Swaps < MaxSwaps &&
                                    Excludable(t7, t8) &&
                                    !InInputTour(t7, t8)) {
                                    /* Ignore the move if the gain does 
                                       not vary */
                                    if (RestrictedSearch &&
                                        ProblemType != HCP &&
                                        ProblemType != HPP &&
                                        G2 - t4->Pi == G4 - t6->Pi &&
                                        G4 - t6->Pi == G6 - t8->Pi &&
                                        G3 + t5->Pi == G1 + t3->Pi &&
                                        G5 + t7->Pi == G3 + t5->Pi)
                                        continue;
                                    T3 = t3;
                                    T4 = t4;
                                    T5 = t5;
                                    T6 = t6;
                                    T7 = t7;
                                    T8 = t8;
                                    BestCase8 = Case8;
                                    BestG6 = G6;
                                }
                            } else if (MaxSwaps > 0) {
                                GainType G = G6;
                                Node *t = t8;
                                Make4OptMove(t1, t2, t3, t4, t5, t6, t7,
                                             t8, Case8);
                                Exclude(t1, t2);
                                Exclude(t3, t4);
                                Exclude(t5, t6);
                                Exclude(t7, t8);
                                while ((t =
                                        (this->*BestSubsequentMove)(t1, t, &G,
                                                           Gain)));
                                if (*Gain > 0)
                                    return 0;
                                RestoreTour();
                                if (t2 != SUC(t1))
                                    Reversed ^= 1;
                            }
                        }
                    }
                }
            }
        }
    }
    *Gain = 0;
    if (T8) {
        /* Make the best 4-opt move */
        Make4OptMove(t1, t2, T3, T4, T5, T6, T7, T8, BestCase8);
        Exclude(t1, t2), Exclude(T3, T4);
        Exclude(T5, T6);
        Exclude(T7, T8);
        *G0 = BestG6;
    }
    return T8;
}
Exemple #14
0
Node *Best3OptMove(Node * t1, Node * t2, GainType * G0, GainType * Gain)
{
    Node *t3, *t4, *t5, *t6, *T3 = 0, *T4 = 0, *T5 = 0, *T6 = 0;
    Candidate *Nt2, *Nt4;
    GainType G1, G2, G3, G4, BestG4 = MINUS_INFINITY;
    int Case6, BestCase6 = 0, X4, X6;
    int Breadth2 = 0, Breadth4;

    if (SUC(t1) != t2)
        Reversed ^= 1;

    /* 
     * Determine (T3,T4,T5,T6) = (t3,t4,t5,t6)
     * such that 
     *
     *     G4 = *G0 - C(t2,T3) + C(T3,T4) 
     *              - C(T4,T5) + C(T5,T6)
     *
     *  is maximum (= BestG4), and (T5,T6) has not previously been included.
     *  If during this process a legal move with *Gain > 0 is found, then make
     *  the move and exit Best3OptMove immediately. 
     */

    /* Choose (t2,t3) as a candidate edge emanating from t2 */
    for (Nt2 = t2->CandidateSet; (t3 = Nt2->To); Nt2++) {
        if (t3 == t2->Pred || t3 == t2->Suc ||
            ((G1 = *G0 - Nt2->Cost) <= 0 && GainCriterionUsed &&
             ProblemType != HCP && ProblemType != HPP))
            continue;
        if (++Breadth2 > MaxBreadth)
            break;
        /* Choose t4 as one of t3's two neighbors on the tour */
        for (X4 = 1; X4 <= 2; X4++) {
            t4 = X4 == 1 ? PRED(t3) : SUC(t3);
            if (FixedOrCommon(t3, t4))
                continue;
            G2 = G1 + C(t3, t4);
            if (X4 == 1 &&
                !Forbidden(t4, t1) &&
                (!c || G2 - c(t4, t1) > 0) && (*Gain = G2 - C(t4, t1)) > 0)
            {
                Swap1(t1, t2, t3);
                return 0;
            }
            if (Backtracking && !Excludable(t3, t4))
                continue;
            Breadth4 = 0;
            /* Choose (t4,t5) as a candidate edge emanating from t4 */
            for (Nt4 = t4->CandidateSet; (t5 = Nt4->To); Nt4++) {
                if (t5 == t4->Pred || t5 == t4->Suc ||
                    ((G3 = G2 - Nt4->Cost) <= 0 && GainCriterionUsed) ||
                    (X4 == 2 && !BETWEEN(t2, t5, t3)))
                    continue;
                if (++Breadth4 > MaxBreadth)
                    break;
                /* Choose t6 as one of t5's two neighbors on the tour */
                for (X6 = 1; X6 <= X4; X6++) {
                    if (X4 == 1) {
                        Case6 = 1 + !BETWEEN(t2, t5, t4);
                        t6 = Case6 == 1 ? SUC(t5) : PRED(t5);
                    } else {
                        Case6 = 4 + X6;
                        t6 = X6 == 1 ? SUC(t5) : PRED(t5);
                        if (t6 == t1)
                            continue;
                    }
                    if (FixedOrCommon(t5, t6))
                        continue;
                    G4 = G3 + C(t5, t6);
                    if (!Forbidden(t6, t1) &&
                        (!c || G4 - c(t6, t1) > 0) &&
                        (*Gain = G4 - C(t6, t1)) > 0) {
                        Make3OptMove(t1, t2, t3, t4, t5, t6, Case6);
                        return 0;
                    }
                    if (GainCriterionUsed && G4 - Precision < t6->Cost)
                        continue;
                    if (!Backtracking || Swaps > 0) {
                        if (G4 > BestG4 &&
                            Swaps < MaxSwaps &&
                            Excludable(t5, t6) &&
                            (!InInputTour(t5, t6) || !Near(t5, t6))) {
                            /* Ignore the move if the gain does not vary */
                            if (RestrictedSearch &&
                                ProblemType != HCP &&
                                ProblemType != HPP &&
                                G2 - t4->Pi == G4 - t6->Pi &&
                                G3 + t5->Pi == G1 + t3->Pi)
                                continue;
                            T3 = t3;
                            T4 = t4;
                            T5 = t5;
                            T6 = t6;
                            BestCase6 = Case6;
                            BestG4 = G4;
                        }
                    } else if (MaxSwaps > 0) {
                        GainType G = G4;
                        Node *t = t6;
                        Make3OptMove(t1, t2, t3, t4, t5, t6, Case6);
                        Exclude(t1, t2);
                        Exclude(t3, t4);
                        Exclude(t5, t6);
                        while ((t = BestSubsequentMove(t1, t, &G, Gain)));
                        if (*Gain > 0)
                            return 0;
                        RestoreTour();
                        if (t2 != SUC(t1))
                            Reversed ^= 1;
                    }
                }
            }
        }
    }
    *Gain = 0;
    if (T6) {
        /* Make the best 3-opt move */
        Make3OptMove(t1, t2, T3, T4, T5, T6, BestCase6);
        Exclude(t1, t2);
        Exclude(T3, T4);
        Exclude(T5, T6);
        *G0 = BestG4;
    }
    return T6;
}
Exemple #15
0
LKH::LKHAlg::Node * LKH::LKHAlg::Best5OptMove(Node * t1, Node * t2, GainType * G0, GainType * Gain)
{
    Node *t3, *t4, *t5, *t6 = 0, *t7, *t8 = 0, *t9, *t10 = 0;
    Node *T3 = 0, *T4 = 0, *T5 = 0, *T6 = 0, *T7 = 0, *T8 = 0, *T9 =
        0, *T10 = 0;
    Candidate *Nt2, *Nt4, *Nt6, *Nt8;
    GainType G1, G2, G3, G4, G5, G6, G7, G8, BestG8 = MINUS_INFINITY;
    int Case6 = 0, Case8 = 0, Case10 = 0, BestCase10 = 0, X4, X6, X8, X10,
        BTW275 = 0, BTW674 = 0,
        BTW571 = 0, BTW376 = 0, BTW574 = 0, BTW671 = 0,
        BTW471 = 0, BTW673 = 0, BTW573 = 0, BTW273 = 0;
    int Breadth2 = 0, Breadth4, Breadth6, Breadth8;

    if (t2 != SUC(t1))
        Reversed ^= 1;

    /* 
     * Determine (T3,T4,T5,T6,T7,T8,T9,T10) = (t3,t4,t5,t6,t7,t8,t9,t10)
     * such that
     *
     *     G8 = *G0 - C(t2,T3) + C(T3,T4)
     *              - C(T4,T5) + C(T5,T6)
     *              - C(T6,T7) + C(T7,T8)
     *              - C(T8,T9) + C(T9,T10)
     *
     * is maximum (= BestG8), and (T9,T10) has not previously been included.
     * If during this process a legal move with *Gain > 0 is found, then make
     * the move and exit Best5OptMove immediately. 
     */

    /* Choose (t2,t3) as a candidate edge emanating from t2 */
    for (Nt2 = t2->CandidateSet; (t3 = Nt2->To); Nt2++) {
        if (t3 == t2->Pred || t3 == t2->Suc ||
            ((G1 = *G0 - Nt2->Cost) <= 0 && GainCriterionUsed &&
             ProblemType != HCP && ProblemType != HPP))
            continue;
        if (++Breadth2 > MaxBreadth)
            break;
        /* Choose t4 as one of t3's two neighbors on the tour */
        for (X4 = 1; X4 <= 2; X4++) {
            t4 = X4 == 1 ? PRED(t3) : SUC(t3);
            if (FixedOrCommon(t3, t4))
                continue;
            G2 = G1 + (this->*C)(t3, t4);
            if (X4 == 1 &&
                !Forbidden(t4, t1) &&
                (!c || G2 - (this->*c)(t4, t1) > 0) && (*Gain = G2 - (this->*C)(t4, t1)) > 0)
            {
                Make2OptMove(t1, t2, t3, t4);
                return 0;
            }
            if (Backtracking && !Excludable(t3, t4))
                continue;
            Breadth4 = 0;
            /* Choose (t4,t5) as a candidate edge emanating from t4 */
            for (Nt4 = t4->CandidateSet; (t5 = Nt4->To); Nt4++) {
                if (t5 == t4->Pred || t5 == t4->Suc ||
                    ((G3 = G2 - Nt4->Cost) <= 0 && GainCriterionUsed &&
                     ProblemType != HCP && ProblemType != HPP))
                    continue;
                if (++Breadth4 > MaxBreadth)
                    break;
                /* Choose t6 as one of t5's two neighbors on the tour */
                for (X6 = 1; X6 <= 2; X6++) {
                    if (X4 == 1) {
                        if (X6 == 1) {
                            Case6 = 1 + !BETWEEN(t2, t5, t4);
                            t6 = Case6 == 1 ? SUC(t5) : PRED(t5);
                        } else {
                            t6 = t6 == t5->Pred ? t5->Suc : t5->Pred;
                            if ((t5 == t1 && t6 == t2) ||
                                (t5 == t2 && t6 == t1))
                                continue;
                            Case6 += 2;
                        }
                    } else if (BETWEEN(t2, t5, t3)) {
                        Case6 = 4 + X6;
                        t6 = X6 == 1 ? SUC(t5) : PRED(t5);
                        if (t6 == t1)
                            continue;
                    } else {
                        Case6 = 6 + X6;
                        t6 = X6 == 1 ? PRED(t5) : SUC(t5);
                        if (t6 == t2)
                            continue;
                    }
                    if (FixedOrCommon(t5, t6))
                        continue;
                    G4 = G3 + (this->*C)(t5, t6);
                    if ((Case6 <= 2 || Case6 == 5 || Case6 == 6) &&
                        !Forbidden(t6, t1) &&
                        (!c || G4 - (this->*c)(t6, t1) > 0) &&
                        (*Gain = G4 - (this->*C)(t6, t1)) > 0) {
                        Make3OptMove(t1, t2, t3, t4, t5, t6, Case6);
                        return 0;
                    }
                    if (Backtracking && !Excludable(t5, t6))
                        continue;
                    Breadth6 = 0;
                    /* Choose (t6,t7) as a candidate edge emanating from t6 */
                    for (Nt6 = t6->CandidateSet; (t7 = Nt6->To); Nt6++) {
                        if (t7 == t6->Pred || t7 == t6->Suc ||
                            (t6 == t2 && t7 == t3) ||
                            (t6 == t3 && t7 == t2) ||
                            ((G5 = G4 - Nt6->Cost) <= 0 &&
                             GainCriterionUsed &&
                             ProblemType != HCP && ProblemType != HPP))
                            continue;
                        if (++Breadth6 > MaxBreadth)
                            break;
                        /* Choose t8 as one of t7's two neighbors on the tour */
                        for (X8 = 1; X8 <= 2; X8++) {
                            if (X8 == 1) {
                                Case8 = Case6;
                                switch (Case6) {
                                case 1:
                                    if ((BTW275 = BETWEEN(t2, t7, t5)))
                                        t8 = SUC(t7);
                                    else {
                                        t8 = PRED(t7);
                                        BTW674 = BETWEEN(t6, t7, t4);
                                    }
                                    break;
                                case 2:
                                    if ((BTW376 = BETWEEN(t3, t7, t6)))
                                        t8 = SUC(t7);
                                    else {
                                        t8 = PRED(t7);
                                        BTW571 = BETWEEN(t5, t7, t1);
                                    }
                                    break;
                                case 3:
                                    t8 = SUC(t7);
                                    BTW574 = BETWEEN(t5, t7, t4);
                                    break;
                                case 4:
                                    if ((BTW671 = BETWEEN(t6, t7, t1)))
                                        t8 = PRED(t7);
                                    else
                                        t8 = BETWEEN(t2, t7,
                                                     t4) ? SUC(t7) :
                                            PRED(t7);
                                    break;
                                case 5:
                                    t8 = PRED(t7);
                                    BTW471 = BETWEEN(t4, t7, t1);
                                    if (!BTW471)
                                        BTW673 = BETWEEN(t6, t7, t3);
                                    break;
                                case 6:
                                    if ((BTW471 = BETWEEN(t4, t7, t1)))
                                        t8 = PRED(t7);
                                    else {
                                        t8 = SUC(t7);
                                        BTW573 = BETWEEN(t5, t7, t3);
                                    }
                                    break;
                                case 7:
                                case 8:
                                    t8 = SUC(t7);
                                    BTW273 = BETWEEN(t2, t7, t3);
                                    break;
                                }
                            } else {
                                t8 = t8 == t7->Pred ? t7->Suc : t7->Pred;
                                Case8 += 8;
                            }
                            if ((t7 == t1 && t8 == t2) ||
                                (t7 == t2 && t8 == t1) ||
                                (t7 == t3 && t8 == t4) ||
                                (t7 == t4 && t8 == t3))
                                continue;
                            if (FixedOrCommon(t7, t8))
                                continue;
                            if (Case6 == 3 && !BTW574 &&
                                (X8 == 1) == BETWEEN(t3, t7, t1))
                                continue;
                            if (Case6 == 4 && BTW671 && X8 == 2)
                                break;
                            if (Case6 == 7 && !BTW273 &&
                                (X8 == 1) == BETWEEN(t5, t7, t1))
                                continue;
                            if (Case6 == 8 && !BTW273
                                && !BETWEEN(t4, t7, t5))
                                break;
                            G6 = G5 + (this->*C)(t7, t8);
                            if (t8 != t1 &&
                                (Case6 == 3 ? BTW574 :
                                 Case6 == 4 ? !BTW671 :
                                 Case6 == 7 ? BTW273 :
                                 Case6 != 8 && X8 == 1) &&
                                !Forbidden(t8, t1) &&
                                (!c || G6 - (this->*c)(t8, t1) > 0) &&
                                (*Gain = G6 - (this->*C)(t8, t1)) > 0) {
                                Make4OptMove(t1, t2, t3, t4, t5, t6, t7,
                                             t8, Case8);
                                return 0;
                            }
                            if (Backtracking && !Excludable(t7, t8))
                                continue;
                            Breadth8 = 0;
                            /* Choose (t8,t9) as a candidate edge emanating 
                               from t8 */
                            for (Nt8 = t8->CandidateSet; (t9 = Nt8->To);
                                 Nt8++) {
                                if (t9 == t8->Pred || t9 == t8->Suc
                                    || t9 == t1 || (t8 == t2 && t9 == t3)
                                    || (t8 == t3 && t9 == t2) || (t8 == t4
                                                                  && t9 ==
                                                                  t5)
                                    || (t8 == t5 && t9 == t4)
                                    || ((G7 = G6 - Nt8->Cost) <= 0
                                        && GainCriterionUsed
                                        && ProblemType != HCP
                                        && ProblemType != HPP))
                                    continue;
                                if (++Breadth8 > MaxBreadth)
                                    break;
                                /* Choose t10 as one of t9's two neighbors 
                                   on the tour */
                                for (X10 = 1; X10 <= 2; X10++) {
                                    if (X10 == 1) {
                                        t10 = 0;
                                        switch (Case8) {
                                        case 1:
                                            t10 = (BTW275 ?
                                                   BETWEEN(t8, t9, t5)
                                                   || BETWEEN(t3, t9,
                                                              t1) : BTW674
                                                   ? BETWEEN(t7, t9,
                                                             t1) :
                                                   BETWEEN(t7, t9,
                                                           t5)) ? PRED(t9)
                                                : SUC(t9);
                                            Case10 = 22;
                                            break;
                                        case 2:
                                            t10 = (BTW376 ?
                                                   BETWEEN(t8, t9, t4) :
                                                   BTW571 ?
                                                   BETWEEN(t7, t9, t1)
                                                   || BETWEEN(t3, t9,
                                                              t6) :
                                                   BETWEEN(t7, t9,
                                                           t1)) ? PRED(t9)
                                                : SUC(t9);
                                            Case10 = 23;
                                            break;
                                        case 3:
                                            if (BTW574) {
                                                t10 = BETWEEN(t5, t9, t1) ?
                                                    PRED(t9) : SUC(t9);
                                                Case10 = 24;
                                                break;
                                            }
                                            if (!BETWEEN(t5, t9, t4))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 1;
                                            break;
                                        case 4:
                                            if (BTW671) {
                                                if (!BETWEEN(t2, t9, t5))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 2;
                                                break;
                                            }
                                            t10 = BETWEEN(t6, t9, t4) ?
                                                PRED(t9) : SUC(t9);
                                            Case10 = 25;
                                            break;
                                        case 5:
                                            t10 = (BTW471 ?
                                                   BETWEEN(t7, t9, t1) :
                                                   BTW673 ?
                                                   BETWEEN(t7, t9, t5) :
                                                   BETWEEN(t4, t9, t1)
                                                   || BETWEEN(t7, t9,
                                                              t5)) ?
                                                PRED(t9) : SUC(t9);
                                            Case10 = 26;
                                            break;
                                        case 6:
                                            t10 = (BTW471 ?
                                                   BETWEEN(t7, t9, t3) :
                                                   BTW573 ?
                                                   BETWEEN(t8, t9, t6) :
                                                   BETWEEN(t4, t9, t1)
                                                   || BETWEEN(t8, t9,
                                                              t6)) ?
                                                PRED(t9) : SUC(t9);
                                            Case10 = 27;
                                            break;
                                        case 7:
                                            if (BTW273) {
                                                t10 = BETWEEN(t5, t9, t3) ?
                                                    PRED(t9) : SUC(t9);
                                                Case10 = 28;
                                                break;
                                            }
                                            if (!BETWEEN(t2, t9, t3))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 3;
                                            break;
                                        case 8:
                                            if (BTW273) {
                                                if (!BETWEEN(t4, t9, t5))
                                                    break;
                                                Case10 = 4;
                                            } else {
                                                if (!BETWEEN(t2, t9, t3))
                                                    break;
                                                Case10 = 5;
                                            }
                                            t10 = SUC(t9);
                                            break;
                                        case 9:
                                            if (BTW275) {
                                                if (!BETWEEN(t7, t9, t4))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 6;
                                                break;
                                            }
                                            if (!BTW674) {
                                                if (!BETWEEN(t2, t9, t7))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 7;
                                                break;
                                            }
                                            if (!BETWEEN(t6, t9, t7))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 8;
                                            break;
                                        case 10:
                                            if (BTW376) {
                                                if (!BETWEEN(t7, t9, t6))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 9;
                                                break;
                                            }
                                            if (BTW571) {
                                                if (!BETWEEN(t2, t9, t7))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 10;
                                                break;
                                            }
                                            if (!BETWEEN(t3, t9, t6) &&
                                                !BETWEEN(t2, t9, t7))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 11;
                                            break;
                                        case 11:
                                            if (BTW574) {
                                                t10 = BETWEEN(t3, t9, t1) ?
                                                    PRED(t9) : SUC(t9);
                                                Case10 = 29;
                                                break;
                                            }
                                            if (!BETWEEN(t5, t9, t4))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 12;
                                            break;
                                        case 12:
                                            t10 = BETWEEN(t3, t9, t1) ?
                                                PRED(t9) : SUC(t9);
                                            Case10 = 30;
                                            break;
                                        case 13:
                                            if (BTW471) {
                                                if (!BETWEEN(t2, t9, t7))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 13;
                                                break;
                                            }
                                            if (BTW673) {
                                                if (!BETWEEN(t6, t9, t7))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 14;
                                                break;
                                            }
                                            if (!BETWEEN(t6, t9, t3) &&
                                                !BETWEEN(t2, t9, t7))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 15;
                                            break;
                                        case 14:
                                            if (BTW471) {
                                                if (!BETWEEN(t2, t9, t7))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 16;
                                                break;
                                            }
                                            if (BTW573) {
                                                if (!BETWEEN(t7, t9, t3) &&
                                                    !BETWEEN(t2, t9, t6))
                                                    break;
                                                t10 = SUC(t9);
                                                Case10 = 17;
                                                break;
                                            }
                                            if (!BETWEEN(t7, t9, t6))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 18;
                                            break;
                                        case 15:
                                            if (BTW273) {
                                                t10 = BETWEEN(t5, t9, t1) ?
                                                    PRED(t9) : SUC(t9);
                                                Case10 = 31;
                                                break;
                                            }
                                            if (!BETWEEN(t2, t9, t3))
                                                break;
                                            t10 = SUC(t9);
                                            Case10 = 19;
                                            break;
                                        case 16:
                                            if (BTW273) {
                                                if (!BETWEEN(t4, t9, t5))
                                                    break;
                                                Case10 = 20;
                                            } else {
                                                if (!BETWEEN(t2, t9, t3))
                                                    break;
                                                Case10 = 21;
                                            }
                                            t10 = SUC(t9);
                                            break;
                                        }
                                        if (!t10)
                                            break;
                                    } else {
                                        if (Case10 >= 22)
                                            continue;
                                        Case10 += 31;
                                        t10 =
                                            t10 ==
                                            t9->Pred ? t9->Suc : t9->Pred;
                                    }
                                    if (t10 == t1 ||
                                        (t9 == t3 && t10 == t4) ||
                                        (t9 == t4 && t10 == t3) ||
                                        (t9 == t5 && t10 == t6) ||
                                        (t9 == t6 && t10 == t5))
                                        continue;
                                    if (FixedOrCommon(t9, t10))
                                        continue;
                                    G8 = G7 + (this->*C)(t9, t10);
                                    if (!Forbidden(t10, t1) &&
                                        (!c || G8 - (this->*c)(t10, t1) > 0) &&
                                        (*Gain = G8 - (this->*C)(t10, t1)) > 0) {
                                        Make5OptMove(t1, t2, t3, t4, t5,
                                                     t6, t7, t8, t9, t10,
                                                     Case10);
                                        return 0;
                                    }
                                    if (GainCriterionUsed &&
                                        G8 - Precision < t10->Cost)
                                        continue;
                                    if (!Backtracking || Swaps > 0) {
                                        if ((G8 > BestG8 ||
                                             (G8 == BestG8 && !Near(t9, t10)
                                              && Near(T9, T10)))
                                            && Swaps < MaxSwaps
                                            && Excludable(t9, t10)
                                            && !InInputTour(t9, t10)) {
                                            /* Ignore the move if the gain does
                                               not vary */
                                            if (RestrictedSearch &&
                                                ProblemType != HCP &&
                                                ProblemType != HPP &&
                                                G2 - t4->Pi == G4 - t6->Pi && 
                                                G4 - t6->Pi == G6 - t8->Pi &&
                                                G6 - t8->Pi == G8 - t10->Pi &&
                                                G3 + t5->Pi == G1 + t3->Pi &&
                                                G5 + t7->Pi == G3 + t5->Pi &&
                                                G7 + t9->Pi == G5 + t7->Pi)
                                                continue;
                                            T3 = t3;
                                            T4 = t4;
                                            T5 = t5;
                                            T6 = t6;
                                            T7 = t7;
                                            T8 = t8;
                                            T9 = t9;
                                            T10 = t10;
                                            BestCase10 = Case10;
                                            BestG8 = G8;
                                        }
                                    } else if (MaxSwaps > 0) {
                                        GainType G = G8;
                                        Node *t = t10;
                                        Make5OptMove(t1, t2, t3, t4, t5,
                                                     t6, t7, t8, t9, t10,
                                                     Case10);
                                        Exclude(t1, t2);
                                        Exclude(t3, t4);
                                        Exclude(t5, t6);
                                        Exclude(t7, t8);
                                        Exclude(t9, t10);
                                        while ((t =
                                                (this->*BestSubsequentMove)(t1, t,
                                                                   &G,
                                                                   Gain)));
                                        if (*Gain > 0)
                                            return 0;
                                        RestoreTour();
                                        if (t2 != SUC(t1))
                                            Reversed ^= 1;
                                    }
                                }
                            }
                        }
                    }
                }
            }
        }
    }
    *Gain = 0;
    if (T10) {
        /* Make the best 5-opt move */
        Make5OptMove(t1, t2, T3, T4, T5, T6, T7, T8, T9, T10, BestCase10);
        Exclude(t1, t2);
        Exclude(T3, T4);
        Exclude(T5, T6);
        Exclude(T7, T8);
        Exclude(T9, T10);
        *G0 = BestG8;
    }
    return T10;
}