QGAL: vertex simplification

Some vertices are connected by anchors with size 0, which means that
in practice, they represent the same point when positioning items,
i.e. their distance value is the same. In those cases, we can merge the two
anchors in one, that's what vertex simplification do.

The algorithm is walking in the graph, merging vertices in pairs (this could be enhanced to allow groups with arbitrary number of children vertices)

The vertex simplification stage happens before the anchor
simplification, so it'll make less passes. Also, in some situations of
redudant anchors it will allow more anchors to be simplified.

This commit creates a new type of AnchorVertex, add the algorithm
for vertex simplification and restoration, make sure that distribution also
works with simplified vertices.

Consequences:

 - the assert after creating a sequence might not be true anymore, it
   was a structural assumption that vertex simplification may destroy;

 - we assumed that a center anchor could appear only in the beginning
   or end of the candidates, because the "center vertex" always would
   have 3 adjacents. A mix of parallel+center and vertex
   simplification break that assumption.

The commit deal with those consequences.

We still have one limitation: vertex simplification needs to restore
the graph in every invalidation (which might be caused by some child's
updateGeometyry()), since a change in the sizeHint might cause a new
anchor to have size 0 or a 0-sized anchor to have a different size. In
the future we can track the 0 sized anchors and only
restore/re-simplify when the set changes.

Signed-off-by: Caio Marcelo de Oliveira Filho <caio.oliveira@openbossa.org>
Reviewed-by: Eduardo M. Fleury <eduardo.fleury@openbossa.org>

2 files changed, 379 insertions, 73 deletions

diff --git a/src/gui/graphicsview/qgraphicsanchorlayout_p.cpp b/src/gui/graphicsview/qgraphicsanchorlayout_p.cpp
index ef89612..395c035 100644
--- a/src/gui/graphicsview/qgraphicsanchorlayout_p.cpp
+++ b/src/gui/graphicsview/qgraphicsanchorlayout_p.cpp
@@ -61,6 +61,8 @@ QGraphicsAnchorPrivate::QGraphicsAnchorPrivate(int version)
 
 QGraphicsAnchorPrivate::~QGraphicsAnchorPrivate()
 {
+    // ###
+    layoutPrivate->restoreSimplifiedGraph(QGraphicsAnchorLayoutPrivate::Orientation(data->orientation));
     layoutPrivate->removeAnchor(data->from, data->to);
 }
 
@@ -700,30 +702,185 @@ bool QGraphicsAnchorLayoutPrivate::simplifyGraph(Orientation orientation)
 
     if (graphSimplified[orientation])
         return true;
-    graphSimplified[orientation] = true;
 
 #if 0
     qDebug("Simplifying Graph for %s",
            orientation == Horizontal ? "Horizontal" : "Vertical");
 #endif
 
-    if (!layoutFirstVertex[orientation])
-        return true;
+    // Vertex simplification
+    if (!simplifyVertices(orientation)) {
+        restoreVertices(orientation);
+        return false;
+    }
 
+    // Anchor simplification
     bool dirty;
     bool feasible = true;
     do {
         dirty = simplifyGraphIteration(orientation, &feasible);
     } while (dirty && feasible);
 
-    if (!feasible)
-        graphSimplified[orientation] = false;
+    // Note that if we are not feasible, we fallback and make sure that the graph is fully restored
+    if (!feasible) {
+        graphSimplified[orientation] = true;
+        restoreSimplifiedGraph(orientation);
+        restoreVertices(orientation);
+        return false;
+    }
+
+    graphSimplified[orientation] = true;
+    return true;
+}
+
+static AnchorVertex *replaceVertex_helper(AnchorData *data, AnchorVertex *oldV, AnchorVertex *newV)
+{
+    AnchorVertex *other;
+    if (data->from == oldV) {
+        data->from = newV;
+        other = data->to;
+    } else {
+        data->to = newV;
+        other = data->from;
+    }
+    return other;
+}
+
+bool QGraphicsAnchorLayoutPrivate::replaceVertex(Orientation orientation, AnchorVertex *oldV,
+                                                 AnchorVertex *newV, const QList<AnchorData *> &edges)
+{
+    Graph<AnchorVertex, AnchorData> &g = graph[orientation];
+    bool feasible = true;
+
+    for (int i = 0; i < edges.count(); ++i) {
+        AnchorData *ad = edges[i];
+        AnchorVertex *otherV = replaceVertex_helper(ad, oldV, newV);
+
+#if defined(QT_DEBUG)
+        ad->name = QString::fromAscii("%1 --to--> %2").arg(ad->from->toString()).arg(ad->to->toString());
+#endif
+
+        bool newFeasible;
+        AnchorData *newAnchor = addAnchorMaybeParallel(ad, &newFeasible);
+        feasible &= newFeasible;
+
+        if (newAnchor != ad) {
+            // A parallel was created, we mark that in the list of anchors created by vertex
+            // simplification. This is needed because we want to restore them in a separate step
+            // from the restoration of anchor simplification.
+            anchorsFromSimplifiedVertices[orientation].append(newAnchor);
+        }
+
+        g.takeEdge(oldV, otherV);
+    }
 
     return feasible;
 }
 
 /*!
     \internal
+*/
+bool QGraphicsAnchorLayoutPrivate::simplifyVertices(Orientation orientation)
+{
+    Q_Q(QGraphicsAnchorLayout);
+    Graph<AnchorVertex, AnchorData> &g = graph[orientation];
+
+    // We'll walk through vertices
+    QStack<AnchorVertex *> stack;
+    stack.push(layoutFirstVertex[orientation]);
+    QSet<AnchorVertex *> visited;
+
+    while (!stack.isEmpty()) {
+        AnchorVertex *v = stack.pop();
+        visited.insert(v);
+
+        // Each adjacent of 'v' is a possible vertex to be merged. So we traverse all of
+        // them. Since once a merge is made, we might add new adjacents, and we don't want to
+        // pass two times through one adjacent. The 'index' is used to track our position.
+        QList<AnchorVertex *> adjacents = g.adjacentVertices(v);
+        int index = 0;
+
+        while (index < adjacents.count()) {
+            AnchorVertex *next = adjacents[index];
+            index++;
+
+            AnchorData *data = g.edgeData(v, next);
+            const bool bothLayoutVertices = v->m_item == q && next->m_item == q;
+            const bool zeroSized = !data->minSize && !data->maxSize;
+
+            if (!bothLayoutVertices && zeroSized) {
+
+                // Create a new vertex pair, note that we keep a list of those vertices so we can
+                // easily process them when restoring the graph.
+                AnchorVertexPair *newV = new AnchorVertexPair(v, next, data);
+                simplifiedVertices[orientation].append(newV);
+
+                // Collect the anchors of both vertices, the new vertex pair will take their place
+                // in those anchors
+                const QList<AnchorVertex *> &vAdjacents = g.adjacentVertices(v);
+                const QList<AnchorVertex *> &nextAdjacents = g.adjacentVertices(next);
+
+                for (int i = 0; i < vAdjacents.count(); ++i) {
+                    AnchorVertex *adjacent = vAdjacents[i];
+                    if (adjacent != next) {
+                        AnchorData *ad = g.edgeData(v, adjacent);
+                        newV->m_firstAnchors.append(ad);
+                    }
+                }
+
+                for (int i = 0; i < nextAdjacents.count(); ++i) {
+                    AnchorVertex *adjacent = nextAdjacents[i];
+                    if (adjacent != v) {
+                        AnchorData *ad = g.edgeData(next, adjacent);
+                        newV->m_secondAnchors.append(ad);
+
+                        // We'll also add new vertices to the adjacent list of the new 'v', to be
+                        // created as a vertex pair and replace the current one.
+                        if (!adjacents.contains(adjacent))
+                            adjacents.append(adjacent);
+                    }
+                }
+
+                // ### merge this loop into the ones that calculated m_firstAnchors/m_secondAnchors?
+                // Make newV take the place of v and next
+                bool feasible = replaceVertex(orientation, v, newV, newV->m_firstAnchors);
+                feasible &= replaceVertex(orientation, next, newV, newV->m_secondAnchors);
+
+                // Update the layout vertex information if one of the vertices is a layout vertex.
+                AnchorVertex *layoutVertex = 0;
+                if (v->m_item == q)
+                    layoutVertex = v;
+                else if (next->m_item == q)
+                    layoutVertex = next;
+
+                if (layoutVertex) {
+                    // Layout vertices always have m_item == q...
+                    newV->m_item = q;
+                    changeLayoutVertex(orientation, layoutVertex, newV);
+                }
+
+                g.takeEdge(v, next);
+
+                // If a non-feasibility is found, we leave early and cancel the simplification
+                if (!feasible)
+                    return false;
+
+                v = newV;
+                visited.insert(newV);
+
+            } else if (!visited.contains(next) && !stack.contains(next)) {
+                // If the adjacent is not fit for merge and it wasn't visited by the outermost
+                // loop, we add it to the stack.
+                stack.push(next);
+            }
+        }
+    }
+
+    return true;
+}
+
+/*!
+    \internal
 
     One iteration of the simplification algorithm. Returns true if another iteration is needed.
 
@@ -763,7 +920,8 @@ bool QGraphicsAnchorLayoutPrivate::simplifyGraphIteration(QGraphicsAnchorLayoutP
         // (a) it is a layout vertex, we don't simplify away the layout vertices;
         // (b) it does not have exactly 2 adjacents;
         // (c) it will change the direction of the sequence;
-        // (d) its next adjacent is already visited (a cycle in the graph).
+        // (d) its next adjacent is already visited (a cycle in the graph);
+        // (e) the next anchor is a center anchor.
 
         const QList<AnchorVertex *> &adjacents = g.adjacentVertices(v);
         const bool isLayoutVertex = v->m_item == q;
@@ -786,13 +944,14 @@ bool QGraphicsAnchorLayoutPrivate::simplifyGraphIteration(QGraphicsAnchorLayoutP
                 candidatesForward = (beforeSequence == data->from);
             }
 
-            // This is a tricky part. We peek at the next vertex to find out
+            // This is a tricky part. We peek at the next vertex to find out whether
             //
-            // - whether the edge from this vertex to the next vertex has the same direction;
-            // - whether we already visited the next vertex.
+            // - the edge from this vertex to the next vertex has the same direction;
+            // - we already visited the next vertex;
+            // - the next anchor is a center.
             //
-            // Those are needed to identify (c) and (d). Note that unlike (a) and (b), we preempt
-            // the end of sequence by looking into the next vertex.
+            // Those are needed to identify the remaining end of sequence cases. Note that unlike
+            // (a) and (b), we preempt the end of sequence by looking into the next vertex.
 
             // Peek at the next vertex
             AnchorVertex *after;
@@ -810,8 +969,8 @@ bool QGraphicsAnchorLayoutPrivate::simplifyGraphIteration(QGraphicsAnchorLayoutP
             const bool willChangeDirection = (candidatesForward != (v == data->from));
             const bool cycleFound = visited.contains(after);
 
-            // Now cases (c) and (d)...
-            endOfSequence = willChangeDirection || cycleFound;
+            // Now cases (c), (d) and (e)...
+            endOfSequence = willChangeDirection || cycleFound || data->isCenterAnchor;
 
             if (endOfSequence) {
                 if (!willChangeDirection) {
@@ -879,13 +1038,6 @@ bool QGraphicsAnchorLayoutPrivate::simplifyGraphIteration(QGraphicsAnchorLayoutP
         // Add the sequence to the graph.
         //
 
-        // ### At this point we assume that if some parallel anchor will be created because
-        // of the new sequence, the other anchor will not be a center anchor (since we
-        // not deal with that case yet). This assumption will break once we start simplifying
-        // vertices.
-        AnchorData *possibleParallel = g.edgeData(beforeSequence, afterSequence);
-        Q_ASSERT(!possibleParallel || !possibleParallel->isCenterAnchor);
-
         AnchorData *sequence = createSequence(&g, beforeSequence, candidates, afterSequence);
 
         // If 'beforeSequence' and 'afterSequence' already had an anchor between them, we'll
@@ -938,6 +1090,13 @@ void QGraphicsAnchorLayoutPrivate::restoreSimplifiedAnchor(AnchorData *edge)
         delete sequence;
 
     } else if (edge->type == AnchorData::Parallel) {
+
+        // Skip parallel anchors that were created by vertex simplification, they will be processed
+        // later, when restoring vertex simplification.
+        // ### we could improve this check bit having a bit inside 'edge'
+        if (anchorsFromSimplifiedVertices[edge->orientation].contains(edge))
+            return;
+
         ParallelAnchorData* parallel = static_cast<ParallelAnchorData*>(edge);
         restoreSimplifiedConstraints(parallel);
 
@@ -984,18 +1143,93 @@ void QGraphicsAnchorLayoutPrivate::restoreSimplifiedGraph(Orientation orientatio
            orientation == Horizontal ? "Horizontal" : "Vertical");
 #endif
 
+    // Restore anchor simplification
     Graph<AnchorVertex, AnchorData> &g = graph[orientation];
-
     QList<QPair<AnchorVertex*, AnchorVertex*> > connections = g.connections();
     for (int i = 0; i < connections.count(); ++i) {
         AnchorVertex *v1 = connections.at(i).first;
         AnchorVertex *v2 = connections.at(i).second;
         AnchorData *edge = g.edgeData(v1, v2);
-        if (edge->type != AnchorData::Normal) {
+
+        // We restore only sequential anchors and parallels that were not created by
+        // vertex simplification.
+        if (edge->type == AnchorData::Sequential
+            || (edge->type == AnchorData::Parallel &&
+                !anchorsFromSimplifiedVertices[orientation].contains(edge))) {
+
             g.takeEdge(v1, v2);
             restoreSimplifiedAnchor(edge);
         }
     }
+
+    restoreVertices(orientation);
+}
+
+void QGraphicsAnchorLayoutPrivate::restoreVertices(Orientation orientation)
+{
+    Q_Q(QGraphicsAnchorLayout);
+
+    Graph<AnchorVertex, AnchorData> &g = graph[orientation];
+    QList<AnchorVertexPair *> &toRestore = simplifiedVertices[orientation];
+
+    // We will restore the vertices in the inverse order of creation, this way we ensure that
+    // the vertex being restored was not wrapped by another simplification.
+    for (int i = toRestore.count() - 1; i >= 0; --i) {
+        AnchorVertexPair *pair = toRestore[i];
+        QList<AnchorVertex *> adjacents = g.adjacentVertices(pair);
+
+        // Restore the removed edge, this will also restore both vertices 'first' and 'second' to
+        // the graph structure.
+        AnchorVertex *first = pair->m_first;
+        AnchorVertex *second = pair->m_second;
+        g.createEdge(first, second, pair->m_removedAnchor);
+
+        // Restore the anchors for the first child vertex
+        for (int j = 0; j < pair->m_firstAnchors.count(); ++j) {
+            AnchorData *ad = pair->m_firstAnchors[j];
+            Q_ASSERT(ad->from == pair || ad->to == pair);
+
+            replaceVertex_helper(ad, pair, first);
+            g.createEdge(ad->from, ad->to, ad);
+        }
+
+        // Restore the anchors for the second child vertex
+        for (int j = 0; j < pair->m_secondAnchors.count(); ++j) {
+            AnchorData *ad = pair->m_secondAnchors[j];
+            Q_ASSERT(ad->from == pair || ad->to == pair);
+
+            replaceVertex_helper(ad, pair, second);
+            g.createEdge(ad->from, ad->to, ad);
+        }
+
+        for (int j = 0; j < adjacents.count(); ++j) {
+            g.takeEdge(pair, adjacents[j]);
+        }
+
+        // The pair simplified a layout vertex, so place back the correct vertex in the variable
+        // that track layout vertices
+        if (pair->m_item == q) {
+            AnchorVertex *layoutVertex = first->m_item == q ? first : second;
+            Q_ASSERT(layoutVertex->m_item == q);
+            changeLayoutVertex(orientation, pair, layoutVertex);
+        }
+
+        delete pair;
+    }
+    toRestore.clear();
+
+    // The restoration process for vertex simplification also restored the effect of the
+    // parallel anchors created during vertex simplification, so we just need to restore
+    // the constraints in case of parallels that contain center anchors. For the same
+    // reason as above, order matters here.
+    QList<AnchorData *> &parallelAnchors = anchorsFromSimplifiedVertices[orientation];
+
+    for (int i = parallelAnchors.count() - 1; i >= 0; --i) {
+        ParallelAnchorData *parallel = static_cast<ParallelAnchorData *>(parallelAnchors[i]);
+        restoreSimplifiedConstraints(parallel);
+        delete parallel;
+    }
+    parallelAnchors.clear();
 }
 
 QGraphicsAnchorLayoutPrivate::Orientation
@@ -1149,7 +1383,6 @@ void QGraphicsAnchorLayoutPrivate::createCenterAnchors(
     if (item == q) {
         layoutCentralVertex[orientation] = internalVertex(q, centerEdge);
     }
-
 }
 
 void QGraphicsAnchorLayoutPrivate::removeCenterAnchors(
@@ -1811,6 +2044,15 @@ void QGraphicsAnchorLayoutPrivate::calculateGraphs(
     lastCalculationUsedSimplex[orientation] = false;
 #endif
 
+    // ### This is necessary because now we do vertex simplification, we still don't know
+    // differentiate between invalidate()s that doesn't need resimplification and those which
+    // need. For example, when size hint of an item changes, this may cause an anchor to reach 0 or to
+    // leave 0 and get a size. In both cases we need resimplify.
+    //
+    // ### one possible solution would be tracking all the 0-sized anchors, if this set change, we need
+    // resimplify.
+    restoreSimplifiedGraph(orientation);
+
     // Reset the nominal sizes of each anchor based on the current item sizes.  This function
     // works with both simplified and non-simplified graphs, so it'll work when the
     // simplification is going to be reused.
@@ -2379,6 +2621,21 @@ void QGraphicsAnchorLayoutPrivate::setItemsGeometries(const QRectF &geom)
 }
 
 /*!
+    \internal
+
+    Fill the distance in the vertex and in the sub-vertices if its a combined vertex.
+*/
+static void setVertexDistance(AnchorVertex *v, qreal distance)
+{
+    v->distance = distance;
+    if (v->m_type == AnchorVertex::Pair) {
+        AnchorVertexPair *pair = static_cast<AnchorVertexPair *>(v);
+        setVertexDistance(pair->m_first, distance);
+        setVertexDistance(pair->m_second, distance);
+    }
+}
+
+/*!
   \internal
 
   Calculate the position of each vertex based on the paths to each of
@@ -2393,7 +2650,7 @@ void QGraphicsAnchorLayoutPrivate::calculateVertexPositions(
     // Get root vertex
     AnchorVertex *root = layoutFirstVertex[orientation];
 
-    root->distance = 0;
+    setVertexDistance(root, 0);
     visited.insert(root);
 
     // Add initial edges to the queue
@@ -2483,10 +2740,12 @@ void QGraphicsAnchorLayoutPrivate::interpolateEdge(AnchorVertex *base,
 
     Q_ASSERT(edge->from == base || edge->to == base);
 
-    if (edge->from == base)
-        edge->to->distance = base->distance + edgeDistance;
-    else
-        edge->from->distance = base->distance - edgeDistance;
+    // Calculate the distance for the vertex opposite to the base
+    if (edge->from == base) {
+        setVertexDistance(edge->to, base->distance + edgeDistance);
+    } else {
+        setVertexDistance(edge->from, base->distance - edgeDistance);
+    }
 
     // Process child anchors
     if (edge->type == AnchorData::Sequential)
diff --git a/src/gui/graphicsview/qgraphicsanchorlayout_p.h b/src/gui/graphicsview/qgraphicsanchorlayout_p.h
index d7b3cfd..3a22db0 100644
--- a/src/gui/graphicsview/qgraphicsanchorlayout_p.h
+++ b/src/gui/graphicsview/qgraphicsanchorlayout_p.h
@@ -78,66 +78,30 @@ QT_BEGIN_NAMESPACE
   Represents a vertex (anchorage point) in the internal graph
 */
 struct AnchorVertex {
+    enum Type {
+        Normal = 0,
+        Pair
+    };
+
     AnchorVertex(QGraphicsLayoutItem *item, Qt::AnchorPoint edge)
-        : m_item(item), m_edge(edge) {}
+        : m_item(item), m_edge(edge), m_type(Normal) {}
 
     AnchorVertex()
-        : m_item(0), m_edge(Qt::AnchorPoint(0)) {}
+        : m_item(0), m_edge(Qt::AnchorPoint(0)), m_type(Normal) {}
 
 #ifdef QT_DEBUG
     inline QString toString() const;
 #endif
+
     QGraphicsLayoutItem *m_item;
     Qt::AnchorPoint m_edge;
+    uint m_type : 1;
 
     // Current distance from this vertex to the layout edge (Left or Top)
     // Value is calculated from the current anchors sizes.
     qreal distance;
 };
 
-#ifdef QT_DEBUG
-inline QString AnchorVertex::toString() const
-{
-    if (!this || !m_item) {
-        return QLatin1String("NULL");
-    }
-    QString edge;
-    switch (m_edge) {
-    case Qt::AnchorLeft:
-        edge = QLatin1String("Left");
-        break;
-    case Qt::AnchorHorizontalCenter:
-        edge = QLatin1String("HorizontalCenter");
-        break;
-    case Qt::AnchorRight:
-        edge = QLatin1String("Right");
-        break;
-    case Qt::AnchorTop:
-        edge = QLatin1String("Top");
-        break;
-    case Qt::AnchorVerticalCenter:
-        edge = QLatin1String("VerticalCenter");
-        break;
-    case Qt::AnchorBottom:
-        edge = QLatin1String("Bottom");
-        break;
-    default:
-        edge = QLatin1String("None");
-        break;
-    }
-    QString itemName;
-    if (m_item->isLayout()) {
-        itemName = QLatin1String("layout");
-    } else {
-        if (QGraphicsItem *item = m_item->graphicsItem()) {
-            itemName = item->data(0).toString();
-        }
-    }
-    edge.insert(0, QLatin1String("%1_"));
-    return edge.arg(itemName);
-}
-#endif
-
 /*!
   \internal
 
@@ -280,6 +244,68 @@ struct ParallelAnchorData : public AnchorData
     QList<QSimplexConstraint *> m_secondConstraints;
 };
 
+struct AnchorVertexPair : public AnchorVertex {
+    AnchorVertexPair(AnchorVertex *v1, AnchorVertex *v2, AnchorData *data)
+        : AnchorVertex(), m_first(v1), m_second(v2), m_removedAnchor(data) {
+        m_type = AnchorVertex::Pair;
+    }
+
+    AnchorVertex *m_first;
+    AnchorVertex *m_second;
+
+    AnchorData *m_removedAnchor;
+    QList<AnchorData *> m_firstAnchors;
+    QList<AnchorData *> m_secondAnchors;
+};
+
+#ifdef QT_DEBUG
+inline QString AnchorVertex::toString() const
+{
+    if (!this) {
+        return QLatin1String("NULL");
+    } else if (m_type == Pair) {
+        const AnchorVertexPair *vp = static_cast<const AnchorVertexPair *>(this);
+        return QString::fromAscii("(%1, %2)").arg(vp->m_first->toString()).arg(vp->m_second->toString());
+    } else if (!m_item) {
+        return QString::fromAscii("NULL_%1").arg(int(this));
+    }
+    QString edge;
+    switch (m_edge) {
+    case Qt::AnchorLeft:
+        edge = QLatin1String("Left");
+        break;
+    case Qt::AnchorHorizontalCenter:
+        edge = QLatin1String("HorizontalCenter");
+        break;
+    case Qt::AnchorRight:
+        edge = QLatin1String("Right");
+        break;
+    case Qt::AnchorTop:
+        edge = QLatin1String("Top");
+        break;
+    case Qt::AnchorVerticalCenter:
+        edge = QLatin1String("VerticalCenter");
+        break;
+    case Qt::AnchorBottom:
+        edge = QLatin1String("Bottom");
+        break;
+    default:
+        edge = QLatin1String("None");
+        break;
+    }
+    QString itemName;
+    if (m_item->isLayout()) {
+        itemName = QLatin1String("layout");
+    } else {
+        if (QGraphicsItem *item = m_item->graphicsItem()) {
+            itemName = item->data(0).toString();
+        }
+    }
+    edge.insert(0, QLatin1String("%1_"));
+    return edge.arg(itemName);
+}
+#endif
+
 /*!
   \internal
 
@@ -444,11 +470,17 @@ public:
 
     // Simplification
     bool simplifyGraph(Orientation orientation);
+    bool simplifyVertices(Orientation orientation);
     bool simplifyGraphIteration(Orientation orientation, bool *feasible);
 
+    bool replaceVertex(Orientation orientation, AnchorVertex *oldV,
+                       AnchorVertex *newV, const QList<AnchorData *> &edges);
+
+
     void restoreSimplifiedGraph(Orientation orientation);
     void restoreSimplifiedAnchor(AnchorData *edge);
     void restoreSimplifiedConstraints(ParallelAnchorData *parallel);
+    void restoreVertices(Orientation orientation);
 
     bool calculateTrunk(Orientation orientation, const GraphPath &trunkPath,
                         const QList<QSimplexConstraint *> &constraints,
@@ -476,6 +508,17 @@ public:
         return internalVertex(qMakePair(const_cast<QGraphicsLayoutItem *>(item), edge));
     }
 
+    inline void changeLayoutVertex(Orientation orientation, AnchorVertex *oldV, AnchorVertex *newV)
+    {
+        if (layoutFirstVertex[orientation] == oldV)
+            layoutFirstVertex[orientation] = newV;
+        else if (layoutCentralVertex[orientation] == oldV)
+            layoutCentralVertex[orientation] = newV;
+        else if (layoutLastVertex[orientation] == oldV)
+            layoutLastVertex[orientation] = newV;
+    }
+
+
     AnchorVertex *addInternalVertex(QGraphicsLayoutItem *item, Qt::AnchorPoint edge);
     void removeInternalVertex(QGraphicsLayoutItem *item, Qt::AnchorPoint edge);
 
@@ -519,6 +562,10 @@ public:
     AnchorVertex *layoutCentralVertex[2];
     AnchorVertex *layoutLastVertex[2];
 
+    // Combined anchors in order of creation
+    QList<AnchorVertexPair *> simplifiedVertices[2];
+    QList<AnchorData *> anchorsFromSimplifiedVertices[2];
+
     // Graph paths and constraints, for both orientations
     QMultiHash<AnchorVertex *, GraphPath> graphPaths[2];
     QList<QSimplexConstraint *> constraints[2];