File: dendrogram.py

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import fractions
from collections import namedtuple, OrderedDict

from typing import Tuple, List, Optional, Dict

import numpy as np

from AnyQt.QtCore import QPointF, QRectF, Qt, QSizeF, QEvent, Signal
from AnyQt.QtGui import (
    QPainterPath, QPen, QBrush, QPalette, QPainterPathStroker, QColor,
    QTransform, QFontMetrics, QPolygonF
)
from AnyQt.QtWidgets import (
    QGraphicsWidget, QGraphicsPathItem, QGraphicsItemGroup,
    QGraphicsSimpleTextItem
)

from Orange.clustering.hierarchical import Tree, postorder, preorder, leaves
from Orange.widgets.utils import colorpalettes

__all__ = [
    "DendrogramWidget"
]


def dendrogram_layout(tree, expand_leaves=False):
    # type: (Tree, bool) -> List[Tuple[Tree, Tuple[float, float, float]]]
    coords = []
    cluster_geometry = {}
    leaf_idx = 0
    for node in postorder(tree):
        cluster = node.value
        if node.is_leaf:
            if expand_leaves:
                start = float(cluster.first) + 0.5
                end = float(cluster.last - 1) + 0.5
            else:
                start = end = leaf_idx + 0.5
                leaf_idx += 1
            center = (start + end) / 2.0
            cluster_geometry[node] = (start, center, end)
            coords.append((node, (start, center, end)))
        else:
            left = node.left
            right = node.right
            left_center = cluster_geometry[left][1]
            right_center = cluster_geometry[right][1]
            start, end = left_center, right_center
            center = (start + end) / 2.0
            cluster_geometry[node] = (start, center, end)
            coords.append((node, (start, center, end)))

    return coords


Point = namedtuple("Point", ["x", "y"])
Element = namedtuple("Element", ["anchor", "path"])


def path_toQtPath(geom):
    p = QPainterPath()
    anchor, points = geom
    if len(points) > 1:
        p.moveTo(*points[0])
        for (x, y) in points[1:]:
            p.lineTo(x, y)
    elif len(points) == 1:
        r = QRectF(0, 0, 1e-0, 1e-9)
        r.moveCenter(*points[0])
        p.addRect(r)
    elif len(points) == 0:
        r = QRectF(0, 0, 1e-16, 1e-16)
        r.moveCenter(QPointF(*anchor))
        p.addRect(r)
    return p


#: Dendrogram orientation flags
Left, Top, Right, Bottom = 1, 2, 3, 4


def dendrogram_path(tree, orientation=Left, scaleh=1):
    layout = dendrogram_layout(tree)
    T = {}
    paths = {}
    rootdata = tree.value
    base = scaleh * rootdata.height

    if orientation == Bottom:
        transform = lambda x, y: (x, y)
    if orientation == Top:
        transform = lambda x, y: (x, base - y)
    elif orientation == Left:
        transform = lambda x, y: (base - y, x)
    elif orientation == Right:
        transform = lambda x, y: (y, x)

    for node, (start, center, end) in layout:
        if node.is_leaf:
            x, y = transform(center, 0)
            anchor = Point(x, y)
            paths[node] = Element(anchor, ())
        else:
            left, right = paths[node.left], paths[node.right]
            lines = (left.anchor,
                     Point(*transform(start, scaleh * node.value.height)),
                     Point(*transform(end, scaleh * node.value.height)),
                     right.anchor)
            anchor = Point(*transform(center, scaleh * node.value.height))
            paths[node] = Element(anchor, lines)

        T[node] = Tree((node, paths[node]),
                       tuple(T[ch] for ch in node.branches))
    return T[tree]


def make_pen(brush=Qt.black, width=1, style=Qt.SolidLine,
             cap_style=Qt.SquareCap, join_style=Qt.BevelJoin,
             cosmetic=False):
    pen = QPen(brush)
    pen.setWidth(width)
    pen.setStyle(style)
    pen.setCapStyle(cap_style)
    pen.setJoinStyle(join_style)
    pen.setCosmetic(cosmetic)
    return pen


def update_pen(pen, brush=None, width=None, style=None,
               cap_style=None, join_style=None,
               cosmetic=None):
    pen = QPen(pen)
    if brush is not None:
        pen.setBrush(QBrush(brush))
    if width is not None:
        pen.setWidth(width)
    if style is not None:
        pen.setStyle(style)
    if cap_style is not None:
        pen.setCapStyle(cap_style)
    if join_style is not None:
        pen.setJoinStyle(join_style)
    if cosmetic is not None:
        pen.setCosmetic(cosmetic)
    return pen


def path_stroke(path, width=1, join_style=Qt.RoundJoin):
    stroke = QPainterPathStroker()
    stroke.setWidth(width)
    stroke.setJoinStyle(join_style)
    stroke.setMiterLimit(1.0)
    return stroke.createStroke(path)


def path_outline(path, width=1, join_style=Qt.RoundJoin):
    stroke = path_stroke(path, width, join_style)
    return stroke.united(path)


class DendrogramWidget(QGraphicsWidget):
    """A Graphics Widget displaying a dendrogram."""

    class ClusterGraphicsItem(QGraphicsPathItem):
        #: The untransformed source path in 'dendrogram' logical coordinate
        #: system
        sourcePath = QPainterPath()  # type: QPainterPath
        sourceAreaShape = QPainterPath()  # type: QPainterPath

        __shape = None  # type: Optional[QPainterPath]
        __boundingRect = None  # type: Optional[QRectF]
        #: An extended path describing the full mouse hit area
        #: (extends all the way to the base of the dendrogram)
        __mouseAreaShape = QPainterPath()  # type: QPainterPath

        def setGeometryData(self, path, hitArea):
            # type: (QPainterPath, QPainterPath) -> None
            """
            Set the geometry (path) and the mouse hit area (hitArea) for this
            item.
            """
            super().setPath(path)
            self.prepareGeometryChange()
            self.__boundingRect = self.__shape = None
            self.__mouseAreaShape = hitArea

        def shape(self):
            # type: () -> QPainterPath
            if self.__shape is None:
                path = super().shape()  # type: QPainterPath
                self.__shape = path.united(self.__mouseAreaShape)
            return self.__shape

        def boundingRect(self):
            # type: () -> QRectF
            if self.__boundingRect is None:
                sh = self.shape()
                pw = self.pen().widthF() / 2.0
                self.__boundingRect = sh.boundingRect().adjusted(-pw, -pw, pw, pw)
            return self.__boundingRect

    class _SelectionItem(QGraphicsItemGroup):
        def __init__(self, parent, path, unscaled_path, label=""):
            super().__init__(parent)
            self.path = QGraphicsPathItem(path, self)
            self.path.setPen(make_pen(width=1, cosmetic=True))
            self.addToGroup(self.path)

            self.label = QGraphicsSimpleTextItem(label)
            self._update_label_pos()
            self.addToGroup(self.label)

            self.unscaled_path = unscaled_path

        def set_path(self, path):
            self.path.setPath(path)
            self._update_label_pos()

        def set_label(self, label):
            self.label.setText(label)
            self._update_label_pos()

        def set_color(self, color):
            self.path.setBrush(QColor(color))

        def _update_label_pos(self):
            path = self.path.path()
            elements = (path.elementAt(i) for i in range(path.elementCount()))
            points = ((p.x, p.y) for p in elements)
            p1, p2, *rest = sorted(points)
            x, y = p1[0], (p1[1] + p2[1]) / 2
            brect = self.label.boundingRect()
            # leaf nodes' paths are 4 pixels higher; leafs are `len(rest) == 3`
            self.label.setPos(x - brect.width() - 4,
                              y - brect.height() + 4 * (len(rest) == 3))

    #: Orientation
    Left, Top, Right, Bottom = 1, 2, 3, 4

    #: Selection flags
    NoSelection, SingleSelection, ExtendedSelection = 0, 1, 2

    #: Emitted when a user clicks on the cluster item.
    itemClicked = Signal(ClusterGraphicsItem)
    #: Signal emitted when the selection changes.
    selectionChanged = Signal()
    #: Signal emitted when the selection was changed by the user.
    selectionEdited = Signal()

    def __init__(self, parent=None, root=None, orientation=Left,
                 hoverHighlightEnabled=True, selectionMode=ExtendedSelection,
                 *, pen_width=1,
                 **kwargs):
        super().__init__(None, **kwargs)
        # Filter all events from children (`ClusterGraphicsItem`s)
        self.setFiltersChildEvents(True)
        self.orientation = orientation
        self._root = None
        #: A tree with dendrogram geometry
        self._layout = None
        self._highlighted_item = None
        #: a list of selected items
        self._selection = OrderedDict()
        #: a {node: item} mapping
        self._items = {}  # type: Dict[Tree, DendrogramWidget.ClusterGraphicsItem]
        #: container for all cluster items.
        self._itemgroup = QGraphicsWidget(self)
        self._itemgroup.setGeometry(self.contentsRect())
        #: Transform mapping from 'dendrogram' to widget local coordinate
        #: system
        self._transform = QTransform()
        self._cluster_parent = {}
        self.__hoverHighlightEnabled = hoverHighlightEnabled
        self.__selectionMode = selectionMode
        self._pen_width = pen_width
        self.setContentsMargins(0, 0, 0, 0)
        self.setRoot(root)
        if parent is not None:
            self.setParentItem(parent)

    def setSelectionMode(self, mode):
        """
        Set the selection mode.
        """
        assert mode in [DendrogramWidget.NoSelection,
                        DendrogramWidget.SingleSelection,
                        DendrogramWidget.ExtendedSelection]

        if self.__selectionMode != mode:
            self.__selectionMode = mode
            if self.__selectionMode == DendrogramWidget.NoSelection and \
                    self._selection:
                self.setSelectedClusters([])
            elif self.__selectionMode == DendrogramWidget.SingleSelection and \
                    len(self._selection) > 1:
                self.setSelectedClusters([self.selected_nodes()[-1]])

    def selectionMode(self):
        """
        Return the current selection mode.
        """
        return self.__selectionMode

    def setHoverHighlightEnabled(self, enabled):
        if self.__hoverHighlightEnabled != bool(enabled):
            self.__hoverHighlightEnabled = bool(enabled)
            if self._highlighted_item is not None:
                self._set_hover_item(None)

    def isHoverHighlightEnabled(self):
        return self.__hoverHighlightEnabled

    def clear(self):
        """
        Clear the widget.
        """
        scene = self.scene()
        if scene is not None:
            scene.removeItem(self._itemgroup)
        else:
            self._itemgroup.setParentItem(None)
        self._itemgroup = QGraphicsWidget(self)
        self._itemgroup.setGeometry(self.contentsRect())
        self._items.clear()

        for item in self._selection.values():
            if scene is not None:
                scene.removeItem(item)
            else:
                item.setParentItem(None)

        self._root = None
        self._items = {}
        self._selection = OrderedDict()
        self._highlighted_item = None
        self._cluster_parent = {}
        self.updateGeometry()

    def setRoot(self, root):
        # type: (Tree) -> None
        """
        Set the root cluster tree node for display.

        Parameters
        ----------
        root : Tree
            The tree root node.
        """
        self.clear()
        self._root = root
        if root is not None:
            foreground = self.palette().color(QPalette.WindowText)
            pen = make_pen(foreground, width=self._pen_width, cosmetic=True)
            for node in postorder(root):
                item = DendrogramWidget.ClusterGraphicsItem(self._itemgroup)
                item.setAcceptHoverEvents(True)
                item.setPen(pen)
                item.node = node
                for branch in node.branches:
                    assert branch in self._items
                    self._cluster_parent[branch] = node
                self._items[node] = item

            self._relayout()
            self._rescale()
        self.updateGeometry()
    set_root = setRoot

    def root(self):
        # type: () -> Tree
        """
        Return the cluster tree root node.

        Returns
        -------
        root : Tree
        """
        return self._root

    def item(self, node):
        # type: (Tree) -> DendrogramWidget.ClusterGraphicsItem
        """
        Return the ClusterGraphicsItem instance representing the cluster `node`.
        """
        return self._items.get(node)

    def heightAt(self, point):
        # type: (QPointF) -> float
        """
        Return the cluster height at the point in widget local coordinates.
        """
        if not self._root:
            return 0
        tinv, ok = self._transform.inverted()
        if not ok:
            return 0
        tpoint = tinv.map(point)
        if self.orientation in [self.Left, self.Right]:
            height = tpoint.x()
        else:
            height = tpoint.y()
        # Undo geometry prescaling
        base = self._root.value.height
        scale = self._height_scale_factor()
        # Use better better precision then double provides.
        Fr = fractions.Fraction
        if scale > 0:
            height = Fr(height) / Fr(scale)
        else:
            height = 0
        if self.orientation in [self.Left, self.Bottom]:
            height = Fr(base) - Fr(height)
        return float(height)
    height_at = heightAt

    def posAtHeight(self, height):
        # type: (float) -> float
        """
        Return a point in local coordinates for `height` (in cluster
        """
        if not self._root:
            return QPointF()
        scale = self._height_scale_factor()
        base = self._root.value.height
        height = scale * height
        if self.orientation in [self.Left, self.Bottom]:
            height = scale * base - height

        if self.orientation in [self.Left, self.Right]:
            p = QPointF(height, 0)
        else:
            p = QPointF(0, height)
        return self._transform.map(p)
    pos_at_height = posAtHeight

    def _set_hover_item(self, item):
        """Set the currently highlighted item."""
        if self._highlighted_item is item:
            return

        def set_pen(item, pen):
            def branches(item):
                return [self._items[ch] for ch in item.node.branches]
            for it in postorder(item, branches):
                it.setPen(pen)

        if self._highlighted_item:
            # Restore the previous item
            highlight = self.palette().color(QPalette.WindowText)
            set_pen(self._highlighted_item,
                    make_pen(highlight, width=self._pen_width, cosmetic=True))

        self._highlighted_item = item
        if item:
            hpen = make_pen(self.palette().color(QPalette.Highlight),
                            width=self._pen_width + 1, cosmetic=True)
            set_pen(item, hpen)

    def leafItems(self):
        """Iterate over the dendrogram leaf items (:class:`QGraphicsItem`).
        """
        if self._root:
            return (self._items[leaf] for leaf in leaves(self._root))
        else:
            return iter(())
    leaf_items = leafItems

    def leafAnchors(self):
        """Iterate over the dendrogram leaf anchor points (:class:`QPointF`).

        The points are in the widget local coordinates.
        """
        for item in self.leafItems():
            anchor = QPointF(item.element.anchor)
            yield self.mapFromItem(item, anchor)
    leaf_anchors = leafAnchors

    def selectedNodes(self):
        """
        Return the selected cluster nodes.
        """
        return [item.node for item in self._selection]
    selected_nodes = selectedNodes

    def setSelectedItems(self, items: List[ClusterGraphicsItem]):
        """Set the item selection."""
        to_remove = set(self._selection) - set(items)
        to_add = set(items) - set(self._selection)

        for sel in to_remove:
            self._remove_selection(sel)
        for sel in to_add:
            self._add_selection(sel)

        if to_add or to_remove:
            self._re_enumerate_selections()
            self.selectionChanged.emit()
    set_selected_items = setSelectedItems

    def setSelectedClusters(self, clusters: List[Tree]) -> None:
        """Set the selected clusters.
        """
        self.setSelectedItems(list(map(self.item, clusters)))
    set_selected_clusters = setSelectedClusters

    def isItemSelected(self, item: ClusterGraphicsItem) -> bool:
        """Is `item` selected (is a root of a selection)."""
        return item in self._selection

    def isItemIncludedInSelection(self, item: ClusterGraphicsItem) -> bool:
        """Is item included in any selection."""
        return self._selected_super_item(item) is not None
    is_included = isItemIncludedInSelection

    def setItemSelected(self, item, state):
        # type: (ClusterGraphicsItem, bool) -> None
        """Set the `item`s selection state to `state`."""
        if state is False and item not in self._selection or \
                state is True and item in self._selection:
            return  # State unchanged

        if item in self._selection:
            if state is False:
                self._remove_selection(item)
                self._re_enumerate_selections()
                self.selectionChanged.emit()
        else:
            # If item is already inside another selected item,
            # remove that selection
            super_selection = self._selected_super_item(item)

            if super_selection:
                self._remove_selection(super_selection)
            # Remove selections this selection will override.
            sub_selections = self._selected_sub_items(item)

            for sub in sub_selections:
                self._remove_selection(sub)

            if state:
                self._add_selection(item)

            elif item in self._selection:
                self._remove_selection(item)

            self._re_enumerate_selections()
            self.selectionChanged.emit()
    select_item = setItemSelected

    @staticmethod
    def _create_path(item, path):
        ppath = QPainterPath()
        if item.node.is_leaf:
            ppath.addRect(path.boundingRect().adjusted(-8, -4, 0, 4))
        else:
            ppath.addPolygon(path)
            ppath = path_outline(ppath, width=-8)
        return ppath

    @staticmethod
    def _create_label(i):
        return f"C{i + 1}"

    def _add_selection(self, item):
        """Add selection rooted at item
        """
        outline = self._selection_poly(item)
        path = self._transform.map(outline)
        ppath = self._create_path(item, path)
        label = self._create_label(len(self._selection))
        selection_item = self._SelectionItem(self, ppath, outline, label)
        selection_item.label.setBrush(self.palette().color(QPalette.Link))
        selection_item.setPos(self.contentsRect().topLeft())
        self._selection[item] = selection_item

    def _remove_selection(self, item):
        """Remove selection rooted at item."""

        selection_item = self._selection[item]

        selection_item.hide()
        selection_item.setParentItem(None)
        if self.scene():
            self.scene().removeItem(selection_item)

        del self._selection[item]

    def _selected_sub_items(self, item):
        """Return all selected subclusters under item."""
        def branches(item):
            return [self._items[ch] for ch in item.node.branches]

        res = []
        for item in list(preorder(item, branches))[1:]:
            if item in self._selection:
                res.append(item)
        return res

    def _selected_super_item(self, item):
        """Return the selected super item if it exists."""
        def branches(item):
            return [self._items[ch] for ch in item.node.branches]

        for selected_item in self._selection:
            if item in set(preorder(selected_item, branches)):
                return selected_item
        return None

    def _re_enumerate_selections(self):
        """Re enumerate the selection items and update the colors."""
        # Order the clusters
        items = sorted(self._selection.items(),
                       key=lambda item: item[0].node.value.first)

        palette = colorpalettes.LimitedDiscretePalette(len(items))
        for i, (item, selection_item) in enumerate(items):
            # delete and then reinsert to update the ordering
            del self._selection[item]
            self._selection[item] = selection_item
            selection_item.set_label(self._create_label(i))
            color = palette[i]
            color.setAlpha(150)
            selection_item.set_color(color)

    def _selection_poly(self, item):
        # type: (Tree) -> QPolygonF
        """
        Return an selection geometry covering item and all its children.
        """
        def left(item):
            return [self._items[ch] for ch in item.node.branches[:1]]

        def right(item):
            return [self._items[ch] for ch in item.node.branches[-1:]]

        itemsleft = list(preorder(item, left))[::-1]
        itemsright = list(preorder(item, right))
        # itemsleft + itemsright walks from the leftmost leaf up to the root
        # and down to the rightmost leaf
        assert itemsleft[0].node.is_leaf
        assert itemsright[-1].node.is_leaf

        if item.node.is_leaf:
            # a single anchor point
            vert = [itemsleft[0].element.anchor]
        else:
            vert = []
            for it in itemsleft[1:]:
                vert.extend([it.element.path[0], it.element.path[1],
                             it.element.anchor])
            for it in itemsright[:-1]:
                vert.extend([it.element.anchor,
                             it.element.path[-2], it.element.path[-1]])
            # close the polygon
            vert.append(vert[0])

            def isclose(a, b, rel_tol=1e-6):
                return abs(a - b) < rel_tol * max(abs(a), abs(b))

            def isclose_p(p1, p2, rel_tol=1e-6):
                return isclose(p1.x, p2.x, rel_tol) and \
                       isclose(p1.y, p2.y, rel_tol)

            # merge consecutive vertices that are (too) close
            acc = [vert[0]]
            for v in vert[1:]:
                if not isclose_p(v, acc[-1]):
                    acc.append(v)
            vert = acc

        return QPolygonF([QPointF(*p) for p in vert])

    def _update_selection_items(self):
        """Update the shapes of selection items after a scale change.
        """
        transform = self._transform
        for item, selection in self._selection.items():
            path = transform.map(selection.unscaled_path)
            ppath = self._create_path(item, path)
            selection.set_path(ppath)

    def _height_scale_factor(self):
        # Internal dendrogram height scale factor. The dendrogram geometry is
        # scaled by this factor to better condition the geometry
        if self._root is None:
            return 1
        base = self._root.value.height
        # implicitly scale the geometry to 0..1 scale or flush to 0 for fuzz
        if base >= np.finfo(base).eps:
            return 1 / base
        else:
            return 0

    def _relayout(self):
        if self._root is None:
            return

        scale = self._height_scale_factor()
        base = scale * self._root.value.height
        self._layout = dendrogram_path(self._root, self.orientation,
                                       scaleh=scale)
        for node_geom in postorder(self._layout):
            node, geom = node_geom.value
            item = self._items[node]
            item.element = geom
            # the untransformed source path
            item.sourcePath = path_toQtPath(geom)
            r = item.sourcePath.boundingRect()

            if self.orientation == Left:
                r.setRight(base)
            elif self.orientation == Right:
                r.setLeft(0)
            elif self.orientation == Top:
                r.setBottom(base)
            else:
                r.setTop(0)

            hitarea = QPainterPath()
            hitarea.addRect(r)
            item.sourceAreaShape = hitarea
            item.setGeometryData(item.sourcePath, item.sourceAreaShape)
            item.setZValue(-node.value.height)

    def _rescale(self):
        if self._root is None:
            return

        scale = self._height_scale_factor()
        base = scale * self._root.value.height
        crect = self.contentsRect()
        leaf_count = len(list(leaves(self._root)))
        if self.orientation in [Left, Right]:
            drect = QSizeF(base, leaf_count)
        else:
            drect = QSizeF(leaf_count, base)

        eps = np.finfo(np.float64).eps

        if abs(drect.width()) < eps:
            sx = 1.0
        else:
            sx = crect.width() / drect.width()

        if abs(drect.height()) < eps:
            sy = 1.0
        else:
            sy = crect.height() / drect.height()

        transform = QTransform().scale(sx, sy)
        self._transform = transform
        self._itemgroup.setPos(crect.topLeft())
        self._itemgroup.setGeometry(crect)
        for node_geom in postorder(self._layout):
            node, _ = node_geom.value
            item = self._items[node]
            item.setGeometryData(
                transform.map(item.sourcePath),
                transform.map(item.sourceAreaShape)
            )
        self._selection_items = None
        self._update_selection_items()

    def sizeHint(self, which: Qt.SizeHint, constraint=QSizeF()) -> QSizeF:
        # reimplemented
        fm = QFontMetrics(self.font())
        spacing = fm.lineSpacing()
        mleft, mtop, mright, mbottom = self.getContentsMargins()

        if self._root and which == Qt.PreferredSize:
            nleaves = len([node for node in self._items.keys()
                           if not node.branches])
            base = max(10, min(spacing * 16, 250))
            if self.orientation in [self.Left, self.Right]:
                return QSizeF(base, spacing * nleaves + mleft + mright)
            else:
                return QSizeF(spacing * nleaves + mtop + mbottom, base)

        elif which == Qt.MinimumSize:
            return QSizeF(mleft + mright + 10, mtop + mbottom + 10)
        else:
            return QSizeF()

    def sceneEventFilter(self, obj, event):
        if isinstance(obj, DendrogramWidget.ClusterGraphicsItem):
            if event.type() == QEvent.GraphicsSceneHoverEnter and \
                    self.__hoverHighlightEnabled:
                self._set_hover_item(obj)
                event.accept()
                return True
            elif event.type() == QEvent.GraphicsSceneMousePress and \
                    event.button() == Qt.LeftButton:

                is_selected = self.isItemSelected(obj)
                is_included = self.is_included(obj)
                current_selection = list(self._selection)

                if self.__selectionMode == DendrogramWidget.SingleSelection:
                    if event.modifiers() & Qt.ControlModifier:
                        self.setSelectedItems(
                            [obj] if not is_selected else [])
                    elif event.modifiers() & Qt.AltModifier:
                        self.setSelectedItems([])
                    elif event.modifiers() & Qt.ShiftModifier:
                        if not is_included:
                            self.setSelectedItems([obj])
                    elif current_selection != [obj]:
                        self.setSelectedItems([obj])
                elif self.__selectionMode == DendrogramWidget.ExtendedSelection:
                    if event.modifiers() & Qt.ControlModifier:
                        self.setItemSelected(obj, not is_selected)
                    elif event.modifiers() & Qt.AltModifier:
                        self.setItemSelected(self._selected_super_item(obj), False)
                    elif event.modifiers() & Qt.ShiftModifier:
                        if not is_included:
                            self.setItemSelected(obj, True)
                    elif current_selection != [obj]:
                        self.setSelectedItems([obj])

                if current_selection != self._selection:
                    self.selectionEdited.emit()
                self.itemClicked.emit(obj)
                event.accept()
                return True

        if event.type() == QEvent.GraphicsSceneHoverLeave:
            self._set_hover_item(None)

        return super().sceneEventFilter(obj, event)

    def changeEvent(self, event):
        # reimplemented
        super().changeEvent(event)
        if event.type() == QEvent.FontChange:
            self.updateGeometry()
        elif event.type() == QEvent.PaletteChange:
            self._update_colors()
        elif event.type() == QEvent.ContentsRectChange:
            self._rescale()

    def resizeEvent(self, event):
        # reimplemented
        super().resizeEvent(event)
        self._rescale()

    def mousePressEvent(self, event):
        # reimplemented
        super().mousePressEvent(event)
        # A mouse press on an empty widget part
        if event.modifiers() == Qt.NoModifier and self._selection:
            self.set_selected_clusters([])

    def _update_colors(self):
        def set_color(item: DendrogramWidget.ClusterGraphicsItem, color: QColor):
            def branches(item):
                return [self._items[ch] for ch in item.node.branches]
            for it in postorder(item, branches):
                it.setPen(update_pen(it.pen(), brush=color))
        if self._root is not None:
            foreground = self.palette().color(QPalette.WindowText)
            item = self.item(self._root)
            set_color(item, foreground)
        highlight = self.palette().color(QPalette.Highlight)
        if self._highlighted_item is not None:
            set_color(self._highlighted_item, highlight)
        accent = self.palette().color(QPalette.Link)
        for item in self._selection.values():
            item.label.setBrush(accent)