gtk_draw.py 52.8 KB
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#! /usr/bin/env python
# -*- coding: utf-8 -*-
#
# graph_tool -- a general graph manipulation python module
#
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# Copyright (C) 2006-2020 Tiago de Paula Peixoto <tiago@skewed.de>
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#
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# This program is free software; you can redistribute it and/or modify it under
# the terms of the GNU Lesser General Public License as published by the Free
# Software Foundation; either version 3 of the License, or (at your option) any
# later version.
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#
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# This program is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
# FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
# details.
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#
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# You should have received a copy of the GNU Lesser General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
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import numpy

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import copy

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from .. import GraphView, PropertyMap, ungroup_vector_property, \
    group_vector_property, infect_vertex_property, edge_endpoint_property, _prop
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from .cairo_draw import *
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from .cairo_draw import _edefaults
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from .. draw import sfdp_layout, random_layout, _avg_edge_distance, \
    coarse_graphs
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def point_in_poly(p, poly):
    i, c = 0, False
    j = len(poly) - 1
    while i < len(poly):
        if (((poly[i][1] > p[1]) != (poly[j][1] > p[1])) and
            (p[0] < (poly[j][0] - poly[i][0]) * (p[1] - poly[i][1]) /
             (poly[j][1] - poly[i][1]) + poly[i][0])):
            c = not c
        j = i
        i += 1
    return c


class VertexMatrix(object):
    def __init__(self, g, pos):
        self.g = g
        self.pos = pos
        self.m = None
        self.m_res = None
        self.update()

    def get_box(self, p, size=None):
        if size is None:
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            return (int(round(float(p[0] / self.m_res))),
                    int(round(float(p[1] / self.m_res))))
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        else:
            n = int(np.ceil(size / self.m_res))
            b = self.get_box(p)
            boxes = []
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            for i in range(-n, n):
                for j in range(-n, n):
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                    boxes.append((b[0] + i, b[1] + j))
            return boxes

    def update(self):
        pos_x, pos_y = ungroup_vector_property(self.pos, [0, 1])
        x_range = [pos_x.fa.min(), pos_x.fa.max()]
        y_range = [pos_y.fa.min(), pos_y.fa.max()]
        self.m_res = min(x_range[1] - x_range[0],
                         y_range[1] - y_range[0]) / np.sqrt(self.g.num_vertices())
        self.m_res *= np.sqrt(10)

        self.m = defaultdict(set)
        for v in self.g.vertices():
            i, j = self.get_box(self.pos[v])
            self.m[(i, j)].add(v)

    def update_vertex(self, v, new_pos):
        b = self.get_box(self.pos[v])
        self.m[b].remove(v)
        self.pos[v] = new_pos
        b = self.get_box(self.pos[v])
        self.m[b].add(v)

    def remove_vertex(self, v):
        b = self.get_box(self.pos[v])
        self.m[b].remove(v)

    def add_vertex(self, v):
        b = self.get_box(self.pos[v])
        self.m[b].add(v)

    def get_closest(self, pos):
        pos = np.array(pos)
        box = self.get_box(pos)
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        dist = numpy.inf
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        clst = None
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        for i in range(-1, 2):
            for j in range(-1, 2):
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                b = (box[0] + i, box[1] + j)
                for v in self.m[b]:
                    ndist = ((pos - self.pos[v].a[:2]) ** 2).sum()
                    if ndist < dist:
                        dist = ndist
                        clst = v
        return clst

    def mark_polygon(self, points, selected):
        rect = [min([x[0] for x in points]), min([x[1] for x in points]),
                max([x[0] for x in points]), max([x[1] for x in points])]
        p1 = self.get_box(rect[:2])
        p2 = self.get_box(rect[2:])
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        for i in range(p1[0], p2[0] + 1):
            for j in range(p1[1], p2[1] + 1):
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                for v in self.m[(i, j)]:
                    p = self.pos[v]
                    if not point_in_poly(p, points):
                        continue
                    selected[v] = True


def apply_transforms(g, pos, m):
    m = tuple(m)
    g = GraphView(g, directed=True)
    libgraph_tool_draw.apply_transforms(g._Graph__graph, _prop("v", g, pos),
                                        m[0], m[1], m[2], m[3], m[4], m[5])


class GraphWidget(Gtk.DrawingArea):
    def __init__(self, g, pos, vprops=None, eprops=None, vorder=None,
                 eorder=None, nodesfirst=False, update_layout=False,
                 layout_K=1., multilevel=False, display_props=None,
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                 display_props_size=11, fit_view=True, fit_view_ink=None,
                 bg_color=None, max_render_time=300, layout_callback=None,
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                 key_press_callback=None, highlight_color=None, **kwargs):
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        r"""Interactive GTK+ widget displaying a given graph.

        Parameters
        ----------
        g : :class:`~graph_tool.Graph`
            Graph to be drawn.
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        pos : :class:`~graph_tool.VertexPropertyMap`
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            Vector-valued vertex property map containing the x and y coordinates of
            the vertices.
        vprops : dict (optional, default: ``None``)
            Dictionary with the vertex properties. Individual properties may also be
            given via the ``vertex_<prop-name>`` parameters, where ``<prop-name>`` is
            the name of the property.
        eprops : dict (optional, default: ``None``)
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            Dictionary with the edge properties. Individual properties may also be
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            given via the ``edge_<prop-name>`` parameters, where ``<prop-name>`` is
            the name of the property.
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        vorder : :class:`~graph_tool.VertexPropertyMap` (optional, default: ``None``)
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            If provided, defines the relative order in which the vertices are drawn.
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        eorder : :class:`~graph_tool.EdgePropertyMap` (optional, default: ``None``)
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            If provided, defines the relative order in which the edges are drawn.
        nodesfirst : bool (optional, default: ``False``)
            If ``True``, the vertices are drawn first, otherwise the edges are.
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        update_layout : bool (optional, default: ``False``)
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            If ``True``, the layout will be updated dynamically.
        layout_K : float (optional, default: ``1.0``)
            Parameter ``K`` passed to :func:`~graph_tool.draw.sfdp_layout`.
        multilevel : bool (optional, default: ``False``)
            Parameter ``multilevel`` passed to :func:`~graph_tool.draw.sfdp_layout`.
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        display_props : list of :class:`~graph_tool.VertexPropertyMap` instances (optional, default: ``None``)
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            List of properties to be displayed when the mouse passes over a vertex.
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        display_props_size : float (optional, default: ``11.``)
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            Font size used to display the vertex properties.
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        fit_view : bool, float or tuple (optional, default: ``True``)
            If ``True``, the layout will be scaled to fit the entire clip region.
            If a float value is given, it will be interpreted as ``True``, and in
            addition the viewport will be scaled out by that factor. If a tuple
            value is given, it should have four values ``(x, y, w, h)`` that
            specify the view in user coordinates.
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        fit_view_ink : bool (optional, default: ``None``)
            If ``True``, and ``fit_view == True`` the drawing will be performed
            once to figure out the bounding box, before the actual drawing is
            made. Otherwise, only the vertex positions will be used for this
            purpose. If the value is ``None``, then it will be assumed ``True``
            for networks of size 10,000 nodes or less, otherwise it will be
            assumed ``False``.
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        bg_color : str or sequence (optional, default: ``None``)
            Background color. The default is white.
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        max_render_time : int (optional, default: ``300``)
            Maximum amount of time (in milliseconds) spent rendering portions of
            the graph.
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        layout_callback : function (optional, default: ``Node``)
            User-supplied callback to be called whenever the positions of the layout
            have changed. It needs to have the following signature:

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            .. code-block:: python
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               def callback(g, picked, pos, vprops, eprops):
                   ...

            where ``g`` is the graph being drawn, ``picked`` is either a single
            vertex or a boolean vertex property map representing the vertices
            currently selected, and ``vprops`` and ``eprops`` are dictionaries with
            the vertex and edge properties currently being used by the layout.
        key_press_callback : function (optional, default: ``Node``)

            User-supplied callback to be called whenever a key-press event has
            happened. It needs to have the following signature:

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            .. code-block:: python
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               def callback(g, keyval, picked, pos, vprops, eprops):
                   ...

            where ``g`` is the graph being drawn, ``keyval`` is the key id,
            ``picked`` is either a single vertex or a boolean vertex property map
            representing the vertices currently selected, and ``vprops`` and
            ``eprops`` are dictionaries with the vertex and edge properties
            currently being used by the layout.
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        vertex_* : :class:`~graph_tool.VertexPropertyMap` or arbitrary types (optional, default: ``None``)
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            Parameters following the pattern ``vertex_<prop-name>`` specify the
            vertex property with name ``<prop-name>``, as an alternative to the
            ``vprops`` parameter.
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        edge_* : :class:`~graph_tool.EdgePropertyMap` or arbitrary types (optional, default: ``None``)
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            Parameters following the pattern ``edge_<prop-name>`` specify the edge
            property with name ``<prop-name>``, as an alternative to the ``eprops``
            parameter.
        **kwargs
            Any extra parameters are passed to :func:`~graph_tool.draw.cairo_draw`.

        Notes
        -----

        The graph drawing can be panned by dragging with the middle mouse button
        pressed. The graph may be zoomed by scrolling with the mouse wheel, or
        equivalent (if the "shift" key is held, the vertex/edge sizes are scaled
        accordingly). The layout may be rotated by dragging while holding the
        "control" key. Pressing the "r" key centers and zooms the layout around the
        graph.  By pressing the "a" key, the current translation, scaling and
        rotation transformations are applied to the vertex positions themselves, and
        the transformation matrix is reset (if this is never done, the given
        position properties are never modified).

        Individual vertices may be selected by pressing the left mouse button. The
        currently selected vertex follows the mouse pointer. To stop the selection,
        the right mouse button must be pressed. Alternatively, a group of vertices
        may be selected by holding the "shift" button while the pointer is dragged
        while pressing the left button. The selected vertices may be moved by
        dragging the pointer with the left button pressed. They may be rotated by
        holding the "control" key and scrolling with the mouse. If the key "z" is
        pressed, the layout is zoomed to fit the selected vertices only.

        If the key "s" is pressed, the dynamic spring-block layout is
        activated. Vertices which are currently selected are not updated.

        """

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        Gtk.DrawingArea.__init__(self)

        vprops = {} if vprops is None else vprops
        eprops = {} if eprops is None else eprops

        props, kwargs = parse_props("vertex", kwargs)
        vprops.update(props)
        props, kwargs = parse_props("edge", kwargs)
        eprops.update(props)
        self.kwargs = kwargs

        self.g = g
        self.pos = pos
        self.vprops = vprops
        self.eprops = eprops
        self.vorder = vorder
        self.eorder = eorder
        self.nodesfirst = nodesfirst

        self.panning = None
        self.tmatrix = cairo.Matrix()  # position to surface
        self.smatrix = cairo.Matrix()  # surface to screen
        self.pointer = [0, 0]
        self.picked = False
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        self.selected = g.new_vertex_property("bool", False)
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        self.highlight = g.new_vertex_property("bool", False)
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        self.sel_edge_filt = g.new_edge_property("bool", False)
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        self.highlight_color = highlight_color
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        self.srect = None
        self.drag_begin = None
        self.moved_picked = False
        self.vertex_matrix = None
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        self.fit_view = fit_view
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        if fit_view_ink is None:
            self.fit_view_ink = self.g.num_vertices() <= 1000
        else:
            self.fit_view_ink = fit_view_ink
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        self.display_prop = g.vertex_index if display_props is None \
                            else display_props
        self.display_prop_size = display_props_size

        self.geometry = None
        self.base = None
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        self.base_geometry = None
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        self.background = None
        self.bg_color = bg_color if bg_color is not None else [1, 1, 1, 1]
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        if isinstance(self.bg_color, str):
            self.bg_color = matplotlib.colors.to_rgba(self.bg_color)
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        self.regenerate_generator = None
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        self.regenerate_max_time = max_render_time
        self.max_render_time = max_render_time
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        self.lazy_regenerate = False
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        self.layout_callback_id = None
        self.layout_K = layout_K
        self.layout_init_step = self.layout_K
        self.epsilon = 0.01 * self.layout_K
        self.multilevel_layout = multilevel

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        self.layout_user_callback = layout_callback
        self.key_press_user_callback = key_press_callback

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        if multilevel:
            self.cgs = coarse_graphs(g)
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            u = next(self.cgs)
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            self.cg, self.cpos, self.layout_K, self.cvcount, self.cecount = u
            self.ag = self.g
            self.apos = self.pos
            self.g = self.cg
            self.pos = self.cpos
            self.layout_step = self.layout_K
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            self._own_props()
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        else:
            self.cg = None
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        if update_layout:
            self.reset_layout()

        # Event signals
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        self.connect("motion-notify-event", self.motion_notify_event)
        self.connect("button-press-event", self.button_press_event)
        self.connect("button-release-event", self.button_release_event)
        self.connect("scroll-event", self.scroll_event)
        self.connect("key-press-event", self.key_press_event)
        self.connect("key-release-event", self.key_release_event)
        self.connect("destroy-event", self.cleanup)
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        self.set_events(Gdk.EventMask.EXPOSURE_MASK
                        | Gdk.EventMask.LEAVE_NOTIFY_MASK
                        | Gdk.EventMask.BUTTON_PRESS_MASK
                        | Gdk.EventMask.BUTTON_RELEASE_MASK
                        | Gdk.EventMask.BUTTON_MOTION_MASK
                        | Gdk.EventMask.POINTER_MOTION_MASK
                        | Gdk.EventMask.POINTER_MOTION_HINT_MASK
                        | Gdk.EventMask.SCROLL_MASK
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                        | Gdk.EventMask.SMOOTH_SCROLL_MASK
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                        | Gdk.EventMask.KEY_PRESS_MASK
                        | Gdk.EventMask.KEY_RELEASE_MASK)

        self.set_property("can-focus", True)
        self.connect("draw", self.draw)

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        try:
            self.zoom_gesture = Gtk.GestureZoom.new(self)
            self.zoom_gesture.connect("begin", self.zoom_begin)
            self.zoom_gesture.connect("end", self.zoom_end)
            self.zoom_gesture.connect("scale_changed", self.scale_changed)

            self.rotate_gesture = Gtk.GestureRotate.new(self)
            self.rotate_gesture.connect("begin", self.rotate_begin)
            self.rotate_gesture.connect("end", self.rotate_end)
            self.rotate_gesture.connect("angle_changed", self.angle_changed)

            self.zoom_gesture.group(self.rotate_gesture)

            self.drag_gesture = Gtk.GestureDrag.new(self)
            self.drag_gesture.set_touch_only(True)
            self.drag_gesture.connect("begin", self.drag_gesture_begin)
            self.drag_gesture.connect("end", self.drag_gesture_end)
            self.drag_gesture.connect("drag_update", self.drag_gesture_update)
        except AttributeError:
            pass
        self.is_zooming = False
        self.is_rotating = False
        self.is_drag_gesture = False

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    def update(self, pos=None, vprops=None, eprops=None, vorder=None, eorder=None,
               nodesfirst=None, display_props=None,
               fit_view=True, bg_color=None, **kwargs):

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        vprops = {} if vprops is None else copy.copy(vprops)
        eprops = {} if eprops is None else copy.copy(eprops)

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        props, kwargs = parse_props("vertex", kwargs)
        vprops.update(props)
        props, kwargs = parse_props("edge", kwargs)
        eprops.update(props)

        if pos is not None:
            self.pos = pos
        self.vprops.update(vprops)
        self.eprops.update(eprops)
        if vorder is not None:
            self.vorder = vorder
        if eorder is not None:
            self.eorder = eorder
        if nodesfirst is not None:
            self.nodesfirst = nodesfirst

        self.fit_view = fit_view

        self.display_prop = self.g.vertex_index if display_props is None \
                            else display_props
        self.bg_color = bg_color if bg_color is not None else [1, 1, 1, 1]


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    def cleanup(self):
        """Cleanup callbacks."""
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        if gobject is None:
            return
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        if self.layout_callback_id is not None:
            ret = gobject.source_remove(self.layout_callback_id)
            if not ret:
                warnings.warn("error removing idle callback...")
            self.layout_callback_id = None

    def __del__(self):
        self.cleanup()

    # Layout update

    def reset_layout(self):
        """Reset the layout algorithm."""
        if self.layout_callback_id is not None:
            gobject.source_remove(self.layout_callback_id)
            self.layout_callback_id = None
        self.layout_step = self.layout_init_step
        self.layout_callback_id = gobject.idle_add(self.layout_callback)

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    def _own_props(self):
        self.selected = self.g.own_property(self.selected)
        self.highlight = self.g.own_property(self.highlight)
        self.sel_edge_filt = self.g.own_property(self.sel_edge_filt)
        for k, vp in self.vprops.items():
            if isinstance(vp, PropertyMap):
                self.vprops[k] = self.g.own_property(vp)
        for k, ep in self.eprops.items():
            if isinstance(ep, PropertyMap):
                self.eprops[k] = self.g.own_property(ep)

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    def layout_callback(self):
        """Perform one step of the layout algorithm."""
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        if self.layout_callback_id is None or self.g.num_vertices() == 0:
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            return False
        pos_temp = ungroup_vector_property(self.pos, [0, 1])
        sfdp_layout(self.g, K=self.layout_K,
                    max_iter=5, pos=self.pos,
                    pin=self.selected,
                    init_step=self.layout_step,
                    multilevel=False)
        self.layout_step *= 0.9
        if self.vertex_matrix is not None:
            self.vertex_matrix.update()
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        self.regenerate_surface(reset=True, complete=True)
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        self.queue_draw()
        ps = ungroup_vector_property(self.pos, [0, 1])
        delta = np.sqrt((pos_temp[0].fa - ps[0].fa) ** 2 +
                        (pos_temp[1].fa - ps[1].fa) ** 2).mean()
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        if self.layout_user_callback is not None:
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            self.layout_user_callback(self, self.g, self.picked, self.pos,
                                      self.vprops, self.eprops)
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        if delta > self.epsilon:
            return True
        else:
            if self.multilevel_layout:
                try:
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                    u = next(self.cgs)
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                    self.cg, self.cpos, K, self.cvcount, self.cecount = u
                    self.layout_K *= 0.75
                    self.g = self.cg
                    self.pos = self.cpos
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                    self._own_props()
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                    self.layout_step = max(self.layout_K,
                                           _avg_edge_distance(self.g,
                                                              self.pos) / 10)
                    if self.vertex_matrix is not None:
                        self.vertex_matrix = VertexMatrix(self.g, self.pos)
                    self.epsilon = 0.05 * self.layout_K * self.g.num_edges()
                    geometry = [self.get_allocated_width(),
                                self.get_allocated_height()]
                    adjust_default_sizes(self.g, geometry, self.vprops,
                                         self.eprops, force=True)
                    self.fit_to_window(ink=False)
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                    self.regenerate_surface(reset=True, complete=True)
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                except StopIteration:
                    self.g = self.ag
                    self.pos = self.apos
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                    self._own_props()
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                    self.g.copy_property(self.cpos, self.pos)
                    if self.vertex_matrix is not None:
                        self.vertex_matrix = VertexMatrix(self.g, self.pos)
                    self.multilevel_layout = False
                    self.layout_init_step = max(self.layout_K,
                                                _avg_edge_distance(self.g,
                                                                   self.pos) /
                                                                   10)
                    self.epsilon = 0.01 * self.layout_K

                return True
            self.layout_callback_id = None
            return False

    # Actual drawing

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    def regenerate_surface(self, reset=False, complete=False):
        r"""Redraw the graph surface."""

        if reset:
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            self.regenerate_generator = None
            self.regen_context = None
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        geometry = [self.get_allocated_width() * 3,
                    self.get_allocated_height() * 3]

        if (self.base is None or self.base_geometry[0] != geometry[0] or
            self.base_geometry[1] != geometry[1] or reset):
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            w = self.get_window()
            if w is None:
                return False
Tiago Peixoto's avatar
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            self.regenerate_generator = None
            self.regen_context = None

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            self.base = w.create_similar_surface(cairo.CONTENT_COLOR_ALPHA,
                                                 *geometry)
            self.base_geometry = geometry
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            m = cairo.Matrix()
            m.translate(self.get_allocated_width(),
                        self.get_allocated_height())
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            self.smatrix = self.smatrix.multiply(m)
            self.tmatrix = self.tmatrix.multiply(self.smatrix)
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            self.smatrix = cairo.Matrix()
            self.smatrix.translate(-self.get_allocated_width(),
                                   -self.get_allocated_height())
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        if self.regenerate_generator is None:
            cr = cairo.Context(self.base)
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            cr.set_source_rgba(*self.bg_color)
            cr.paint()
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            cr.set_matrix(self.tmatrix)
            mtime = -1 if complete else self.regenerate_max_time
            res = 5 * self.get_scale_factor()
            gen = cairo_draw(self.g, self.pos, cr, self.vprops, self.eprops,
                             self.vorder, self.eorder, self.nodesfirst, res=res,
                             max_render_time=mtime, **self.kwargs)
            self.regenerate_generator = gen
            self.regen_context = cr
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        if self.regenerate_generator is not None:
            try:
                next(self.regenerate_generator)
            except StopIteration:
                self.regenerate_generator = None
                self.regen_context = None
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        self.lazy_regenerate = False
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    def draw(self, da, cr):
        r"""Redraw the widget."""

        geometry = [self.get_allocated_width(),
                    self.get_allocated_height()]

        if self.geometry is None:
            adjust_default_sizes(self.g, geometry, self.vprops, self.eprops)
            self.fit_to_window(ink=False)
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            self.regenerate_surface()
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            self.geometry = geometry

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        cr.save()
        cr.set_matrix(self.smatrix)
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        c1 = self.pos_to_device((0, 0), surface=True, cr=cr)
        c2 = self.pos_to_device((0, self.base_geometry[1]), surface=True, cr=cr)
        c3 = self.pos_to_device((self.base_geometry[0], 0), surface=True, cr=cr)
        c4 = self.pos_to_device(self.base_geometry, surface=True, cr=cr)
        c = [c1, c2, c3, c4]
        ul = [min([x[0] for x in c]), min([x[1] for x in c])]
        lr = [max([x[0] for x in c]), max([x[1] for x in c])]
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        cr.restore()
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        if ((ul[0] > 0 or lr[0] < geometry[0] or
             ul[1] > 0 or lr[1] < geometry[1]) or
            self.lazy_regenerate):
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            self.regenerate_surface(reset=True)
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        elif self.regenerate_generator is not None:
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            self.regenerate_surface()

        if self.background is None:
            # draw checkerboard
            self.background = cairo.ImageSurface(cairo.FORMAT_ARGB32, 14, 14)
            bcr = cairo.Context(self.background)
            bcr.rectangle(0, 0, 7, 7)
            bcr.set_source_rgb(102. / 256, 102. / 256, 102. / 256)
            bcr.fill()
            bcr.rectangle(7, 0, 7, 7)
            bcr.set_source_rgb(153. / 256, 153. / 256, 153. / 256)
            bcr.fill()
            bcr.rectangle(0, 7, 7, 7)
            bcr.set_source_rgb(153. / 256, 153. / 256, 153. / 256)
            bcr.fill()
            bcr.rectangle(7, 7, 7, 7)
            bcr.set_source_rgb(102. / 256, 102. / 256, 102. / 256)
            bcr.fill()
            del bcr
            self.background = cairo.SurfacePattern(self.background)
            self.background.set_extend(cairo.EXTEND_REPEAT)

        cr.set_source(self.background)
        cr.paint()

        cr.save()
        cr.set_matrix(self.smatrix)
        cr.set_source_surface(self.base)
        cr.paint()
        cr.restore()

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        if self.selected.fa.sum() > 0:
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            # draw immediate neighborhood
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            if self.selected.fa.sum() == 1:
                vprops = dict(**self.vprops)
                vprops["halo"] = self.highlight
                vprops["halo_color"] = (0.9372549019607843, 0.1607843137254902, 0.1607843137254902, .9)
                vprops["halo_size"] = 1.3

                if self.highlight_color is not None:
                    vprops["halo_color"] = self.highlight_color

                eprops = {}
                eprops["color"] = (0.9372549019607843, 0.1607843137254902, 0.1607843137254902, .9)
                if "control_points" in self.eprops:
                   eprops["control_points"] = self.eprops["control_points"]

                if self.highlight_color is not None:
                    eprops["color"] = self.highlight_color

                self.highlight.fa = self.selected.fa
                infect_vertex_property(GraphView(self.g, directed=False),
                                       self.highlight, [True])
                self.highlight.fa = numpy.logical_xor(self.selected.fa,
                                                      self.highlight.fa)

                hsrc = edge_endpoint_property(self.g, self.selected, "source")
                htgt = edge_endpoint_property(self.g, self.selected, "target")
                self.sel_edge_filt.fa = numpy.logical_or(hsrc.fa, htgt.fa)

                u = GraphView(self.g,
                              vfilt=numpy.logical_or(self.highlight.fa,
                                                     self.selected.fa),
                              efilt=self.sel_edge_filt)

                eprops["pen_width"] = self.eprops.get("pen_width",
                                                      _edefaults["pen_width"])

                if isinstance(eprops["pen_width"], PropertyMap):
                    pw = eprops["pen_width"]
                    pw = u.own_property(pw.copy())
                    pw.fa *= 1.1
                else:
                    eprops["pen_width"] *= 1.1

                cr.save()
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                cr.set_matrix(self.tmatrix.multiply(self.smatrix))
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                cairo_draw(u, self.pos, cr, vprops, eprops, self.vorder,
                           self.eorder, self.nodesfirst)
                cr.restore()

            # draw selected edges
            vprops = dict(**self.vprops)
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            vprops["halo"] = True

            eprops = {}

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            u = GraphView(self.g, vfilt=self.selected,
                          efilt=self.sel_edge_filt)
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            cr.save()
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            cr.set_matrix(self.tmatrix.multiply(self.smatrix))
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            cairo_draw(u, self.pos, cr, vprops, eprops, self.vorder,
                       self.eorder, self.nodesfirst)
            cr.restore()

        if self.srect is not None:
            cr.move_to(self.srect[0], self.srect[1])
            cr.line_to(self.srect[0], self.srect[3])
            cr.line_to(self.srect[2], self.srect[3])
            cr.line_to(self.srect[2], self.srect[1])
            cr.line_to(self.srect[0], self.srect[1])
            cr.close_path()
            cr.set_source_rgba(0, 0, 1, 0.3)
            cr.fill()

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        if self.regenerate_generator is not None:
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            icon = self.render_icon(Gtk.STOCK_EXECUTE, Gtk.IconSize.BUTTON)
            Gdk.cairo_set_source_pixbuf(cr, icon, 10, 10)
            cr.paint()

        if (self.picked is not None and self.picked is not False and
            not isinstance(self.picked, PropertyMap)):
            if isinstance(self.display_prop, PropertyMap):
                txt = str(self.display_prop[self.picked])
            else:
                txt = ", ".join([str(x[self.picked])
                                 for x in self.display_prop])
            geometry = [self.get_allocated_width(),
                        self.get_allocated_height()]
            pos = [10, geometry[1] - 10]
            cr.set_font_size(self.display_prop_size)
            ext = cr.text_extents(txt)
            pad = 8
            cr.rectangle(pos[0] - pad / 2, pos[1] - ext[3] - pad / 2,
                         ext[2] + pad, ext[3] + pad)
            cr.set_source_rgba(1, 1, 1, 1.0)
            cr.fill()
            cr.move_to(pos[0], pos[1])
            cr.set_source_rgba(0, 0, 0, 1.0)
            cr.show_text(txt)

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        if self.regenerate_generator is not None:
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            self.queue_draw()
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        return False

    # Position and transforms

    def pos_to_device(self, pos, dist=False, surface=False, cr=None):
        """Convert a position from the graph space to the widget space."""
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        ox, oy = self.get_window().get_position()
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        if cr is None:
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            cr = self.get_window().cairo_create()
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            if surface:
                cr.set_matrix(self.smatrix)
            else:
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                cr.set_matrix(self.tmatrix.multiply(self.smatrix))
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        if dist:
            return cr.user_to_device_distance(pos[0], pos[1])
        else:
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            x, y = cr.user_to_device(pos[0], pos[1])
            return (x - ox, y - oy)
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    def pos_from_device(self, pos, dist=False, surface=False, cr=None):
        """Convert a position from the widget space to the device space."""
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        ox, oy = self.get_window().get_position()
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        if cr is None:
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            cr = self.get_window().cairo_create()
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            if surface:
                cr.set_matrix(self.smatrix)
            else:
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                cr.set_matrix(self.tmatrix.multiply(self.smatrix))
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        if dist:
            return cr.device_to_user_distance(pos[0], pos[1])
        else:
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            return cr.device_to_user(pos[0] + ox, pos[1] + oy)
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    def apply_transform(self):
        r"""Apply current transform matrix to vertex coordinates."""
        zoom = self.pos_from_device((1, 0), dist=True)[0]
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        apply_transforms(self.g, self.pos, self.smatrix.multiply(self.tmatrix))
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        self.tmatrix = cairo.Matrix()
        self.tmatrix.scale(zoom, zoom)
        self.smatrix = cairo.Matrix()
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        apply_transforms(self.g, self.pos, self.smatrix.multiply(self.tmatrix))
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        self.tmatrix = cairo.Matrix()
        self.tmatrix.scale(1. / zoom, 1. / zoom)
        if self.vertex_matrix is not None:
            self.vertex_matrix.update()
        self.fit_to_window()
        self.regenerate_surface()
        self.queue_draw()

    def fit_to_window(self, ink=False, g=None):
        r"""Fit graph to window."""
        geometry = [self.get_allocated_width(), self.get_allocated_height()]
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        ox, oy = self.get_window().get_position()
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        if g is None:
            g = self.g
        pos = g.own_property(self.pos)
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        if self.fit_view != False:
            try:
                x, y, w, h = self.fit_view
                zoom = min(geometry[0] / w, geometry[1] / h)
            except TypeError:
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                pad = self.fit_view if self.fit_view is not True else 0.9

                M = self.tmatrix.multiply(self.smatrix)
                pos_x, pos_y = ungroup_vector_property(pos, [0, 1])
                P = np.zeros((2, len(pos_x.fa)))
                P[0, :] = pos_x.fa
                P[1, :] = pos_y.fa
                T = np.zeros((2, 2))
                O = np.zeros(2)
                T[0, 0], T[1, 0], T[0, 1], T[1, 1], O[0], O[1] = M
                P = np.dot(T, P)
                P[0] += O[0]
                P[1] += O[1]
                pos_x.fa = P[0, :]
                pos_y.fa = P[1, :]
                pos = group_vector_property([pos_x, pos_y])

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                if self.fit_view_ink:
                    x, y, zoom = fit_to_view_ink(g, pos, geometry, self.vprops,
                                                 self.eprops, pad=pad)
                else:
                    x, y, zoom = fit_to_view(get_bb(g, pos), geometry,
                                             pad=pad)

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        else:
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            x, y, zoom = 0, 0, 1

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        m = cairo.Matrix()
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        m.translate(ox, oy)
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        m.scale(zoom, zoom)
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        m.translate(-x, -y)
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        self.tmatrix = self.tmatrix.multiply(self.smatrix.multiply(m))
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        self.smatrix = cairo.Matrix()
        if ink:
            scale_ink(zoom, self.vprops, self.eprops)

    # Picking vertices

    def init_picked(self):
        r"""Init picked vertices."""
        self.selected.fa = False
        p = self.pos_from_device(self.pointer)
        if self.vertex_matrix is None:
            self.vertex_matrix = VertexMatrix(self.g, self.pos)
        self.picked = self.vertex_matrix.get_closest(p)
        if self.picked is not None:
            self.selected.a[int(self.picked)] = True

    # Key and pointer bindings

    def button_press_event(self, widget, event):
        r"""Handle button press."""
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        if self.g.num_vertices() == 0:
            return

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        if self.is_zooming or self.is_rotating or self.is_drag_gesture:
            return

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        x = event.x
        y = event.y
        state = event.state
        self.pointer = [x, y]

        if event.button == 1 and not state & Gdk.ModifierType.CONTROL_MASK:
            if state & Gdk.ModifierType.SHIFT_MASK:
                self.srect = [x, y, x, y]
            elif self.picked == False:
                self.init_picked()
                self.queue_draw()
            if self.drag_begin is None:
                self.drag_begin = [x, y]
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        elif (event.button == 2 or
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            (event.button == 1 and state & Gdk.ModifierType.CONTROL_MASK)):
            self.panning = (event.x, event.y)
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        elif event.button == 3:
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            if isinstance(self.picked, PropertyMap):
                self.picked = None
                self.selected.fa = False
                self.queue_draw()
            elif self.picked is not False:
                self.picked = False
                self.selected.fa = False
                self.queue_draw()

    def button_release_event(self, widget, event):
        r"""Handle button release."""
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        if self.g.num_vertices() == 0:
            return

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        if self.is_zooming or self.is_rotating or self.is_drag_gesture:
            return

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        state = event.state
        if event.button == 1:
            if self.srect is not None:
                if self.picked == False:
                    self.init_picked()
                if not isinstance(self.picked, PropertyMap):
                    self.picked = self.selected

                if state & Gdk.ModifierType.CONTROL_MASK:
                    old_picked = self.picked.fa.copy()
                    self.picked.fa = False

                p1 = [self.srect[0], self.srect[1]]
                p2 = [self.srect[2], self.srect[3]]
                poly = [p1, [p1[0], p2[1]], p2, [p2[0], p1[1]]]
                poly = [self.pos_from_device(x) for x in poly]

                self.vertex_matrix.mark_polygon(poly, self.picked)

                if state & Gdk.ModifierType.CONTROL_MASK:
                    self.picked.fa = old_picked - self.picked.fa & old_picked

                self.srect = None

                self.queue_draw()
            self.drag_begin = None

            if self.moved_picked:
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                if self.layout_user_callback is not None:
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                    self.layout_user_callback(self, self.g, self.picked,
                                              self.pos, self.vprops,
                                              self.eprops)
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                self.moved_picked = False
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                self.regenerate_surface(complete=True)
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                self.queue_draw()
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        elif event.button == 2:
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            self.panning = None
            self.queue_draw()

    def motion_notify_event(self, widget, event):
        r"""Handle pointer motion."""
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        if self.is_zooming or self.is_rotating:
            return

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        if event.is_hint:
            x, y, state = event.window.get_pointer()[1:]
        else:
            x = event.x
            y = event.y
            state = event.state
        self.pointer = [x, y]

        if (state & Gdk.ModifierType.BUTTON1_MASK and
            not state & Gdk.ModifierType.CONTROL_MASK):
            if state & Gdk.ModifierType.SHIFT_MASK:
                if self.srect is not None:
                    self.srect[2:] = self.pointer
                    self.queue_draw()
            elif (self.picked is not None and self.picked is not False
                  and self.srect is None):
                p = self.pos_from_device(self.pointer)
                if isinstance(self.picked, PropertyMap):
                    if self.drag_begin is not None:
                        c = self.pos_from_device(self.drag_begin)
                        u = GraphView(self.g, vfilt=self.picked)
                        delta = np.asarray(p) - np.asarray(c)
                        for v in u.vertices():
                            new_pos = self.pos[v].a + delta
                            self.vertex_matrix.update_vertex(self.g.vertex(int(v)),
                                                             new_pos)
                        self.drag_begin = self.pointer
                elif self.vertex_matrix is not None:
                    self.vertex_matrix.update_vertex(self.picked, p)
                self.moved_picked = True
                self.queue_draw()
        elif (state & Gdk.ModifierType.BUTTON2_MASK or
              (state & Gdk.ModifierType.BUTTON1_MASK and
               state & Gdk.ModifierType.CONTROL_MASK)):
            if self.panning is not None:
                offset = [x - self.panning[0],
                          y - self.panning[1]]
                m = cairo.Matrix()
                m.translate(offset[0], offset[1])
                self.smatrix = self.smatrix * m
            self.panning = (x, y)
            self.queue_draw()
        else:
            self.panning = None

            if self.picked is not False:
                p = self.pos_from_device(self.pointer)
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                if self.vertex_matrix is None:
                    self.vertex_matrix = VertexMatrix(self.g, self.pos)
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                v = self.vertex_matrix.get_closest(p)
                if v is not None and not isinstance(self.picked, PropertyMap):
                    if self.picked is not None:
                        self.selected[self.picked] = False
                        if self.picked != v:
                            self.queue_draw()
                    self.picked = v
                    self.selected[v] = True

    def scroll_event(self, widget, event):
        r"""Handle scrolling."""
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        if self.is_zooming or self.is_rotating:
            return

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        self.regenerate_max_time = 50

        def restore_render_time():
            self.regenerate_max_time = self.max_render_time
            return False
        self.surface_callback = gobject.timeout_add(2000, restore_render_time)

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        state = event.state

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