projektAI/venv/Lib/site-packages/matplotlib/widgets.py

"""
GUI neutral widgets
===================

Widgets that are designed to work for any of the GUI backends.
All of these widgets require you to predefine a `matplotlib.axes.Axes`
instance and pass that as the first parameter.  Matplotlib doesn't try to
be too smart with respect to layout -- you will have to figure out how
wide and tall you want your Axes to be to accommodate your widget.
"""

from contextlib import ExitStack
import copy
from numbers import Integral, Number

import numpy as np

import matplotlib as mpl
from . import _api, cbook, colors, ticker
from .lines import Line2D
from .patches import Circle, Rectangle, Ellipse


class LockDraw:
    """
    Some widgets, like the cursor, draw onto the canvas, and this is not
    desirable under all circumstances, like when the toolbar is in zoom-to-rect
    mode and drawing a rectangle.  To avoid this, a widget can acquire a
    canvas' lock with ``canvas.widgetlock(widget)`` before drawing on the
    canvas; this will prevent other widgets from doing so at the same time (if
    they also try to acquire the lock first).
    """

    def __init__(self):
        self._owner = None

    def __call__(self, o):
        """Reserve the lock for *o*."""
        if not self.available(o):
            raise ValueError('already locked')
        self._owner = o

    def release(self, o):
        """Release the lock from *o*."""
        if not self.available(o):
            raise ValueError('you do not own this lock')
        self._owner = None

    def available(self, o):
        """Return whether drawing is available to *o*."""
        return not self.locked() or self.isowner(o)

    def isowner(self, o):
        """Return whether *o* owns this lock."""
        return self._owner is o

    def locked(self):
        """Return whether the lock is currently held by an owner."""
        return self._owner is not None


class Widget:
    """
    Abstract base class for GUI neutral widgets.
    """
    drawon = True
    eventson = True
    _active = True

    def set_active(self, active):
        """Set whether the widget is active."""
        self._active = active

    def get_active(self):
        """Get whether the widget is active."""
        return self._active

    # set_active is overridden by SelectorWidgets.
    active = property(get_active, set_active, doc="Is the widget active?")

    def ignore(self, event):
        """
        Return whether *event* should be ignored.

        This method should be called at the beginning of any event callback.
        """
        return not self.active


class AxesWidget(Widget):
    """
    Widget connected to a single `~matplotlib.axes.Axes`.

    To guarantee that the widget remains responsive and not garbage-collected,
    a reference to the object should be maintained by the user.

    This is necessary because the callback registry
    maintains only weak-refs to the functions, which are member
    functions of the widget.  If there are no references to the widget
    object it may be garbage collected which will disconnect the callbacks.

    Attributes
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    canvas : `~matplotlib.backend_bases.FigureCanvasBase`
        The parent figure canvas for the widget.
    active : bool
        If False, the widget does not respond to events.
    """

    cids = _api.deprecated("3.4")(property(lambda self: self._cids))

    def __init__(self, ax):
        self.ax = ax
        self.canvas = ax.figure.canvas
        self._cids = []

    def connect_event(self, event, callback):
        """
        Connect a callback function with an event.

        This should be used in lieu of ``figure.canvas.mpl_connect`` since this
        function stores callback ids for later clean up.
        """
        cid = self.canvas.mpl_connect(event, callback)
        self._cids.append(cid)

    def disconnect_events(self):
        """Disconnect all events created by this widget."""
        for c in self._cids:
            self.canvas.mpl_disconnect(c)


class Button(AxesWidget):
    """
    A GUI neutral button.

    For the button to remain responsive you must keep a reference to it.
    Call `.on_clicked` to connect to the button.

    Attributes
    ----------
    ax
        The `matplotlib.axes.Axes` the button renders into.
    label
        A `matplotlib.text.Text` instance.
    color
        The color of the button when not hovering.
    hovercolor
        The color of the button when hovering.
    """

    cnt = _api.deprecated("3.4")(property(  # Not real, but close enough.
        lambda self: len(self._observers.callbacks['clicked'])))
    observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['clicked']))

    def __init__(self, ax, label, image=None,
                 color='0.85', hovercolor='0.95'):
        """
        Parameters
        ----------
        ax : `~matplotlib.axes.Axes`
            The `~.axes.Axes` instance the button will be placed into.
        label : str
            The button text.
        image : array-like or PIL Image
            The image to place in the button, if not *None*.  The parameter is
            directly forwarded to `~matplotlib.axes.Axes.imshow`.
        color : color
            The color of the button when not activated.
        hovercolor : color
            The color of the button when the mouse is over it.
        """
        super().__init__(ax)

        if image is not None:
            ax.imshow(image)
        self.label = ax.text(0.5, 0.5, label,
                             verticalalignment='center',
                             horizontalalignment='center',
                             transform=ax.transAxes)

        self._observers = cbook.CallbackRegistry()

        self.connect_event('button_press_event', self._click)
        self.connect_event('button_release_event', self._release)
        self.connect_event('motion_notify_event', self._motion)
        ax.set_navigate(False)
        ax.set_facecolor(color)
        ax.set_xticks([])
        ax.set_yticks([])
        self.color = color
        self.hovercolor = hovercolor

    def _click(self, event):
        if self.ignore(event) or event.inaxes != self.ax or not self.eventson:
            return
        if event.canvas.mouse_grabber != self.ax:
            event.canvas.grab_mouse(self.ax)

    def _release(self, event):
        if self.ignore(event) or event.canvas.mouse_grabber != self.ax:
            return
        event.canvas.release_mouse(self.ax)
        if self.eventson and event.inaxes == self.ax:
            self._observers.process('clicked', event)

    def _motion(self, event):
        if self.ignore(event):
            return
        c = self.hovercolor if event.inaxes == self.ax else self.color
        if not colors.same_color(c, self.ax.get_facecolor()):
            self.ax.set_facecolor(c)
            if self.drawon:
                self.ax.figure.canvas.draw()

    def on_clicked(self, func):
        """
        Connect the callback function *func* to button click events.

        Returns a connection id, which can be used to disconnect the callback.
        """
        return self._observers.connect('clicked', lambda event: func(event))

    def disconnect(self, cid):
        """Remove the callback function with connection id *cid*."""
        self._observers.disconnect(cid)


class SliderBase(AxesWidget):
    """
    The base class for constructing Slider widgets. Not intended for direct
    usage.

    For the slider to remain responsive you must maintain a reference to it.
    """
    def __init__(self, ax, orientation, closedmin, closedmax,
                 valmin, valmax, valfmt, dragging, valstep):
        if ax.name == '3d':
            raise ValueError('Sliders cannot be added to 3D Axes')

        super().__init__(ax)
        _api.check_in_list(['horizontal', 'vertical'], orientation=orientation)

        self.orientation = orientation
        self.closedmin = closedmin
        self.closedmax = closedmax
        self.valmin = valmin
        self.valmax = valmax
        self.valstep = valstep
        self.drag_active = False
        self.valfmt = valfmt

        if orientation == "vertical":
            ax.set_ylim((valmin, valmax))
            axis = ax.yaxis
        else:
            ax.set_xlim((valmin, valmax))
            axis = ax.xaxis

        self._fmt = axis.get_major_formatter()
        if not isinstance(self._fmt, ticker.ScalarFormatter):
            self._fmt = ticker.ScalarFormatter()
            self._fmt.set_axis(axis)
        self._fmt.set_useOffset(False)  # No additive offset.
        self._fmt.set_useMathText(True)  # x sign before multiplicative offset.

        ax.set_xticks([])
        ax.set_yticks([])
        ax.set_navigate(False)
        self.connect_event("button_press_event", self._update)
        self.connect_event("button_release_event", self._update)
        if dragging:
            self.connect_event("motion_notify_event", self._update)
        self._observers = cbook.CallbackRegistry()

    def _stepped_value(self, val):
        """Return *val* coerced to closest number in the ``valstep`` grid."""
        if isinstance(self.valstep, Number):
            val = (self.valmin
                   + round((val - self.valmin) / self.valstep) * self.valstep)
        elif self.valstep is not None:
            valstep = np.asanyarray(self.valstep)
            if valstep.ndim != 1:
                raise ValueError(
                    f"valstep must have 1 dimension but has {valstep.ndim}"
                )
            val = valstep[np.argmin(np.abs(valstep - val))]
        return val

    def disconnect(self, cid):
        """
        Remove the observer with connection id *cid*.

        Parameters
        ----------
        cid : int
            Connection id of the observer to be removed.
        """
        self._observers.disconnect(cid)

    def reset(self):
        """Reset the slider to the initial value."""
        if self.val != self.valinit:
            self.set_val(self.valinit)


class Slider(SliderBase):
    """
    A slider representing a floating point range.

    Create a slider from *valmin* to *valmax* in axes *ax*. For the slider to
    remain responsive you must maintain a reference to it. Call
    :meth:`on_changed` to connect to the slider event.

    Attributes
    ----------
    val : float
        Slider value.
    """

    cnt = _api.deprecated("3.4")(property(  # Not real, but close enough.
        lambda self: len(self._observers.callbacks['changed'])))
    observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['changed']))

    def __init__(self, ax, label, valmin, valmax, valinit=0.5, valfmt=None,
                 closedmin=True, closedmax=True, slidermin=None,
                 slidermax=None, dragging=True, valstep=None,
                 orientation='horizontal', *, initcolor='r', **kwargs):
        """
        Parameters
        ----------
        ax : Axes
            The Axes to put the slider in.

        label : str
            Slider label.

        valmin : float
            The minimum value of the slider.

        valmax : float
            The maximum value of the slider.

        valinit : float, default: 0.5
            The slider initial position.

        valfmt : str, default: None
            %-format string used to format the slider value.  If None, a
            `.ScalarFormatter` is used instead.

        closedmin : bool, default: True
            Whether the slider interval is closed on the bottom.

        closedmax : bool, default: True
            Whether the slider interval is closed on the top.

        slidermin : Slider, default: None
            Do not allow the current slider to have a value less than
            the value of the Slider *slidermin*.

        slidermax : Slider, default: None
            Do not allow the current slider to have a value greater than
            the value of the Slider *slidermax*.

        dragging : bool, default: True
            If True the slider can be dragged by the mouse.

        valstep : float or array-like, default: None
            If a float, the slider will snap to multiples of *valstep*.
            If an array the slider will snap to the values in the array.

        orientation : {'horizontal', 'vertical'}, default: 'horizontal'
            The orientation of the slider.

        initcolor : color, default: 'r'
            The color of the line at the *valinit* position. Set to ``'none'``
            for no line.

        Notes
        -----
        Additional kwargs are passed on to ``self.poly`` which is the
        `~matplotlib.patches.Rectangle` that draws the slider knob.  See the
        `.Rectangle` documentation for valid property names (``facecolor``,
        ``edgecolor``, ``alpha``, etc.).
        """
        super().__init__(ax, orientation, closedmin, closedmax,
                         valmin, valmax, valfmt, dragging, valstep)

        if slidermin is not None and not hasattr(slidermin, 'val'):
            raise ValueError(
                f"Argument slidermin ({type(slidermin)}) has no 'val'")
        if slidermax is not None and not hasattr(slidermax, 'val'):
            raise ValueError(
                f"Argument slidermax ({type(slidermax)}) has no 'val'")
        self.slidermin = slidermin
        self.slidermax = slidermax
        valinit = self._value_in_bounds(valinit)
        if valinit is None:
            valinit = valmin
        self.val = valinit
        self.valinit = valinit
        if orientation == 'vertical':
            self.poly = ax.axhspan(valmin, valinit, 0, 1, **kwargs)
            self.hline = ax.axhline(valinit, 0, 1, color=initcolor, lw=1)
        else:
            self.poly = ax.axvspan(valmin, valinit, 0, 1, **kwargs)
            self.vline = ax.axvline(valinit, 0, 1, color=initcolor, lw=1)

        if orientation == 'vertical':
            self.label = ax.text(0.5, 1.02, label, transform=ax.transAxes,
                                 verticalalignment='bottom',
                                 horizontalalignment='center')

            self.valtext = ax.text(0.5, -0.02, self._format(valinit),
                                   transform=ax.transAxes,
                                   verticalalignment='top',
                                   horizontalalignment='center')
        else:
            self.label = ax.text(-0.02, 0.5, label, transform=ax.transAxes,
                                 verticalalignment='center',
                                 horizontalalignment='right')

            self.valtext = ax.text(1.02, 0.5, self._format(valinit),
                                   transform=ax.transAxes,
                                   verticalalignment='center',
                                   horizontalalignment='left')

        self.set_val(valinit)

    def _value_in_bounds(self, val):
        """Makes sure *val* is with given bounds."""
        val = self._stepped_value(val)

        if val <= self.valmin:
            if not self.closedmin:
                return
            val = self.valmin
        elif val >= self.valmax:
            if not self.closedmax:
                return
            val = self.valmax

        if self.slidermin is not None and val <= self.slidermin.val:
            if not self.closedmin:
                return
            val = self.slidermin.val

        if self.slidermax is not None and val >= self.slidermax.val:
            if not self.closedmax:
                return
            val = self.slidermax.val
        return val

    def _update(self, event):
        """Update the slider position."""
        if self.ignore(event) or event.button != 1:
            return

        if event.name == 'button_press_event' and event.inaxes == self.ax:
            self.drag_active = True
            event.canvas.grab_mouse(self.ax)

        if not self.drag_active:
            return

        elif ((event.name == 'button_release_event') or
              (event.name == 'button_press_event' and
               event.inaxes != self.ax)):
            self.drag_active = False
            event.canvas.release_mouse(self.ax)
            return
        if self.orientation == 'vertical':
            val = self._value_in_bounds(event.ydata)
        else:
            val = self._value_in_bounds(event.xdata)
        if val not in [None, self.val]:
            self.set_val(val)

    def _format(self, val):
        """Pretty-print *val*."""
        if self.valfmt is not None:
            return self.valfmt % val
        else:
            _, s, _ = self._fmt.format_ticks([self.valmin, val, self.valmax])
            # fmt.get_offset is actually the multiplicative factor, if any.
            return s + self._fmt.get_offset()

    def set_val(self, val):
        """
        Set slider value to *val*.

        Parameters
        ----------
        val : float
        """
        xy = self.poly.xy
        if self.orientation == 'vertical':
            xy[1] = 0, val
            xy[2] = 1, val
        else:
            xy[2] = val, 1
            xy[3] = val, 0
        self.poly.xy = xy
        self.valtext.set_text(self._format(val))
        if self.drawon:
            self.ax.figure.canvas.draw_idle()
        self.val = val
        if self.eventson:
            self._observers.process('changed', val)

    def on_changed(self, func):
        """
        Connect *func* as callback function to changes of the slider value.

        Parameters
        ----------
        func : callable
            Function to call when slider is changed.
            The function must accept a single float as its arguments.

        Returns
        -------
        int
            Connection id (which can be used to disconnect *func*).
        """
        return self._observers.connect('changed', lambda val: func(val))


class RangeSlider(SliderBase):
    """
    A slider representing a range of floating point values. Defines the min and
    max of the range via the *val* attribute as a tuple of (min, max).

    Create a slider that defines a range contained within [*valmin*, *valmax*]
    in axes *ax*. For the slider to remain responsive you must maintain a
    reference to it. Call :meth:`on_changed` to connect to the slider event.

    Attributes
    ----------
    val : tuple of float
        Slider value.
    """

    def __init__(
        self,
        ax,
        label,
        valmin,
        valmax,
        valinit=None,
        valfmt=None,
        closedmin=True,
        closedmax=True,
        dragging=True,
        valstep=None,
        orientation="horizontal",
        **kwargs,
    ):
        """
        Parameters
        ----------
        ax : Axes
            The Axes to put the slider in.

        label : str
            Slider label.

        valmin : float
            The minimum value of the slider.

        valmax : float
            The maximum value of the slider.

        valinit : tuple of float or None, default: None
            The initial positions of the slider. If None the initial positions
            will be at the 25th and 75th percentiles of the range.

        valfmt : str, default: None
            %-format string used to format the slider values.  If None, a
            `.ScalarFormatter` is used instead.

        closedmin : bool, default: True
            Whether the slider interval is closed on the bottom.

        closedmax : bool, default: True
            Whether the slider interval is closed on the top.

        dragging : bool, default: True
            If True the slider can be dragged by the mouse.

        valstep : float, default: None
            If given, the slider will snap to multiples of *valstep*.

        orientation : {'horizontal', 'vertical'}, default: 'horizontal'
            The orientation of the slider.

        Notes
        -----
        Additional kwargs are passed on to ``self.poly`` which is the
        `~matplotlib.patches.Rectangle` that draws the slider knob.  See the
        `.Rectangle` documentation for valid property names (``facecolor``,
        ``edgecolor``, ``alpha``, etc.).
        """
        super().__init__(ax, orientation, closedmin, closedmax,
                         valmin, valmax, valfmt, dragging, valstep)

        # Set a value to allow _value_in_bounds() to work.
        self.val = [valmin, valmax]
        if valinit is None:
            # Place at the 25th and 75th percentiles
            extent = valmax - valmin
            valinit = np.array([valmin + extent * 0.25,
                                valmin + extent * 0.75])
        else:
            valinit = self._value_in_bounds(valinit)
        self.val = valinit
        self.valinit = valinit
        if orientation == "vertical":
            self.poly = ax.axhspan(valinit[0], valinit[1], 0, 1, **kwargs)
        else:
            self.poly = ax.axvspan(valinit[0], valinit[1], 0, 1, **kwargs)

        if orientation == "vertical":
            self.label = ax.text(
                0.5,
                1.02,
                label,
                transform=ax.transAxes,
                verticalalignment="bottom",
                horizontalalignment="center",
            )

            self.valtext = ax.text(
                0.5,
                -0.02,
                self._format(valinit),
                transform=ax.transAxes,
                verticalalignment="top",
                horizontalalignment="center",
            )
        else:
            self.label = ax.text(
                -0.02,
                0.5,
                label,
                transform=ax.transAxes,
                verticalalignment="center",
                horizontalalignment="right",
            )

            self.valtext = ax.text(
                1.02,
                0.5,
                self._format(valinit),
                transform=ax.transAxes,
                verticalalignment="center",
                horizontalalignment="left",
            )

        self.set_val(valinit)

    def _min_in_bounds(self, min):
        """Ensure the new min value is between valmin and self.val[1]."""
        if min <= self.valmin:
            if not self.closedmin:
                return self.val[0]
            min = self.valmin

        if min > self.val[1]:
            min = self.val[1]
        return self._stepped_value(min)

    def _max_in_bounds(self, max):
        """Ensure the new max value is between valmax and self.val[0]."""
        if max >= self.valmax:
            if not self.closedmax:
                return self.val[1]
            max = self.valmax

        if max <= self.val[0]:
            max = self.val[0]
        return self._stepped_value(max)

    def _value_in_bounds(self, vals):
        """Clip min, max values to the bounds."""
        return (self._min_in_bounds(vals[0]), self._max_in_bounds(vals[1]))

    def _update_val_from_pos(self, pos):
        """Update the slider value based on a given position."""
        idx = np.argmin(np.abs(self.val - pos))
        if idx == 0:
            val = self._min_in_bounds(pos)
            self.set_min(val)
        else:
            val = self._max_in_bounds(pos)
            self.set_max(val)

    def _update(self, event):
        """Update the slider position."""
        if self.ignore(event) or event.button != 1:
            return

        if event.name == "button_press_event" and event.inaxes == self.ax:
            self.drag_active = True
            event.canvas.grab_mouse(self.ax)

        if not self.drag_active:
            return

        elif (event.name == "button_release_event") or (
            event.name == "button_press_event" and event.inaxes != self.ax
        ):
            self.drag_active = False
            event.canvas.release_mouse(self.ax)
            return
        if self.orientation == "vertical":
            self._update_val_from_pos(event.ydata)
        else:
            self._update_val_from_pos(event.xdata)

    def _format(self, val):
        """Pretty-print *val*."""
        if self.valfmt is not None:
            return f"({self.valfmt % val[0]}, {self.valfmt % val[1]})"
        else:
            _, s1, s2, _ = self._fmt.format_ticks(
                [self.valmin, *val, self.valmax]
            )
            # fmt.get_offset is actually the multiplicative factor, if any.
            s1 += self._fmt.get_offset()
            s2 += self._fmt.get_offset()
            # Use f string to avoid issues with backslashes when cast to a str
            return f"({s1}, {s2})"

    def set_min(self, min):
        """
        Set the lower value of the slider to *min*.

        Parameters
        ----------
        min : float
        """
        self.set_val((min, self.val[1]))

    def set_max(self, max):
        """
        Set the lower value of the slider to *max*.

        Parameters
        ----------
        max : float
        """
        self.set_val((self.val[0], max))

    def set_val(self, val):
        """
        Set slider value to *val*.

        Parameters
        ----------
        val : tuple or array-like of float
        """
        val = np.sort(np.asanyarray(val))
        if val.shape != (2,):
            raise ValueError(
                f"val must have shape (2,) but has shape {val.shape}"
            )
        val[0] = self._min_in_bounds(val[0])
        val[1] = self._max_in_bounds(val[1])
        xy = self.poly.xy
        if self.orientation == "vertical":
            xy[0] = 0, val[0]
            xy[1] = 0, val[1]
            xy[2] = 1, val[1]
            xy[3] = 1, val[0]
            xy[4] = 0, val[0]
        else:
            xy[0] = val[0], 0
            xy[1] = val[0], 1
            xy[2] = val[1], 1
            xy[3] = val[1], 0
            xy[4] = val[0], 0
        self.poly.xy = xy
        self.valtext.set_text(self._format(val))
        if self.drawon:
            self.ax.figure.canvas.draw_idle()
        self.val = val
        if self.eventson:
            self._observers.process("changed", val)

    def on_changed(self, func):
        """
        Connect *func* as callback function to changes of the slider value.

        Parameters
        ----------
        func : callable
            Function to call when slider is changed. The function
            must accept a numpy array with shape (2,) as its argument.

        Returns
        -------
        int
            Connection id (which can be used to disconnect *func*).
        """
        return self._observers.connect('changed', lambda val: func(val))


class CheckButtons(AxesWidget):
    r"""
    A GUI neutral set of check buttons.

    For the check buttons to remain responsive you must keep a
    reference to this object.

    Connect to the CheckButtons with the `.on_clicked` method.

    Attributes
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    labels : list of `.Text`

    rectangles : list of `.Rectangle`

    lines : list of (`.Line2D`, `.Line2D`) pairs
        List of lines for the x's in the check boxes.  These lines exist for
        each box, but have ``set_visible(False)`` when its box is not checked.
    """

    cnt = _api.deprecated("3.4")(property(  # Not real, but close enough.
        lambda self: len(self._observers.callbacks['clicked'])))
    observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['clicked']))

    def __init__(self, ax, labels, actives=None):
        """
        Add check buttons to `matplotlib.axes.Axes` instance *ax*.

        Parameters
        ----------
        ax : `~matplotlib.axes.Axes`
            The parent axes for the widget.

        labels : list of str
            The labels of the check buttons.

        actives : list of bool, optional
            The initial check states of the buttons. The list must have the
            same length as *labels*. If not given, all buttons are unchecked.
        """
        super().__init__(ax)

        ax.set_xticks([])
        ax.set_yticks([])
        ax.set_navigate(False)

        if actives is None:
            actives = [False] * len(labels)

        if len(labels) > 1:
            dy = 1. / (len(labels) + 1)
            ys = np.linspace(1 - dy, dy, len(labels))
        else:
            dy = 0.25
            ys = [0.5]

        axcolor = ax.get_facecolor()

        self.labels = []
        self.lines = []
        self.rectangles = []

        lineparams = {'color': 'k', 'linewidth': 1.25,
                      'transform': ax.transAxes, 'solid_capstyle': 'butt'}
        for y, label, active in zip(ys, labels, actives):
            t = ax.text(0.25, y, label, transform=ax.transAxes,
                        horizontalalignment='left',
                        verticalalignment='center')

            w, h = dy / 2, dy / 2
            x, y = 0.05, y - h / 2

            p = Rectangle(xy=(x, y), width=w, height=h, edgecolor='black',
                          facecolor=axcolor, transform=ax.transAxes)

            l1 = Line2D([x, x + w], [y + h, y], **lineparams)
            l2 = Line2D([x, x + w], [y, y + h], **lineparams)

            l1.set_visible(active)
            l2.set_visible(active)
            self.labels.append(t)
            self.rectangles.append(p)
            self.lines.append((l1, l2))
            ax.add_patch(p)
            ax.add_line(l1)
            ax.add_line(l2)

        self.connect_event('button_press_event', self._clicked)

        self._observers = cbook.CallbackRegistry()

    def _clicked(self, event):
        if self.ignore(event) or event.button != 1 or event.inaxes != self.ax:
            return
        for i, (p, t) in enumerate(zip(self.rectangles, self.labels)):
            if (t.get_window_extent().contains(event.x, event.y) or
                    p.get_window_extent().contains(event.x, event.y)):
                self.set_active(i)
                break

    def set_active(self, index):
        """
        Toggle (activate or deactivate) a check button by index.

        Callbacks will be triggered if :attr:`eventson` is True.

        Parameters
        ----------
        index : int
            Index of the check button to toggle.

        Raises
        ------
        ValueError
            If *index* is invalid.
        """
        if index not in range(len(self.labels)):
            raise ValueError(f'Invalid CheckButton index: {index}')

        l1, l2 = self.lines[index]
        l1.set_visible(not l1.get_visible())
        l2.set_visible(not l2.get_visible())

        if self.drawon:
            self.ax.figure.canvas.draw()

        if self.eventson:
            self._observers.process('clicked', self.labels[index].get_text())

    def get_status(self):
        """
        Return a tuple of the status (True/False) of all of the check buttons.
        """
        return [l1.get_visible() for (l1, l2) in self.lines]

    def on_clicked(self, func):
        """
        Connect the callback function *func* to button click events.

        Returns a connection id, which can be used to disconnect the callback.
        """
        return self._observers.connect('clicked', lambda text: func(text))

    def disconnect(self, cid):
        """Remove the observer with connection id *cid*."""
        self._observers.disconnect(cid)


class TextBox(AxesWidget):
    """
    A GUI neutral text input box.

    For the text box to remain responsive you must keep a reference to it.

    Call `.on_text_change` to be updated whenever the text changes.

    Call `.on_submit` to be updated whenever the user hits enter or
    leaves the text entry field.

    Attributes
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    label : `.Text`

    color : color
        The color of the text box when not hovering.
    hovercolor : color
        The color of the text box when hovering.
    """

    params_to_disable = _api.deprecated("3.3")(property(
        lambda self: [key for key in mpl.rcParams if 'keymap' in key]))
    cnt = _api.deprecated("3.4")(property(  # Not real, but close enough.
        lambda self: sum(len(d) for d in self._observers.callbacks.values())))
    change_observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['change']))
    submit_observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['submit']))

    def __init__(self, ax, label, initial='',
                 color='.95', hovercolor='1', label_pad=.01):
        """
        Parameters
        ----------
        ax : `~matplotlib.axes.Axes`
            The `~.axes.Axes` instance the button will be placed into.
        label : str
            Label for this text box.
        initial : str
            Initial value in the text box.
        color : color
            The color of the box.
        hovercolor : color
            The color of the box when the mouse is over it.
        label_pad : float
            The distance between the label and the right side of the textbox.
        """
        super().__init__(ax)

        self.DIST_FROM_LEFT = .05

        self.label = ax.text(
            -label_pad, 0.5, label, transform=ax.transAxes,
            verticalalignment='center', horizontalalignment='right')
        self.text_disp = self.ax.text(
            self.DIST_FROM_LEFT, 0.5, initial, transform=self.ax.transAxes,
            verticalalignment='center', horizontalalignment='left')

        self._observers = cbook.CallbackRegistry()

        ax.set(
            xlim=(0, 1), ylim=(0, 1),  # s.t. cursor appears from first click.
            navigate=False, facecolor=color,
            xticks=[], yticks=[])

        self.cursor_index = 0

        self.cursor = ax.vlines(0, 0, 0, visible=False, color="k", lw=1,
                                transform=mpl.transforms.IdentityTransform())

        self.connect_event('button_press_event', self._click)
        self.connect_event('button_release_event', self._release)
        self.connect_event('motion_notify_event', self._motion)
        self.connect_event('key_press_event', self._keypress)
        self.connect_event('resize_event', self._resize)

        self.color = color
        self.hovercolor = hovercolor

        self.capturekeystrokes = False

    @property
    def text(self):
        return self.text_disp.get_text()

    def _rendercursor(self):
        # this is a hack to figure out where the cursor should go.
        # we draw the text up to where the cursor should go, measure
        # and save its dimensions, draw the real text, then put the cursor
        # at the saved dimensions

        # This causes a single extra draw if the figure has never been rendered
        # yet, which should be fine as we're going to repeatedly re-render the
        # figure later anyways.
        if self.ax.figure._cachedRenderer is None:
            self.ax.figure.canvas.draw()

        text = self.text_disp.get_text()  # Save value before overwriting it.
        widthtext = text[:self.cursor_index]
        self.text_disp.set_text(widthtext or ",")
        bb = self.text_disp.get_window_extent()
        if not widthtext:  # Use the comma for the height, but keep width to 0.
            bb.x1 = bb.x0
        self.cursor.set(
            segments=[[(bb.x1, bb.y0), (bb.x1, bb.y1)]], visible=True)
        self.text_disp.set_text(text)

        self.ax.figure.canvas.draw()

    def _release(self, event):
        if self.ignore(event):
            return
        if event.canvas.mouse_grabber != self.ax:
            return
        event.canvas.release_mouse(self.ax)

    def _keypress(self, event):
        if self.ignore(event):
            return
        if self.capturekeystrokes:
            key = event.key
            text = self.text
            if len(key) == 1:
                text = (text[:self.cursor_index] + key +
                        text[self.cursor_index:])
                self.cursor_index += 1
            elif key == "right":
                if self.cursor_index != len(text):
                    self.cursor_index += 1
            elif key == "left":
                if self.cursor_index != 0:
                    self.cursor_index -= 1
            elif key == "home":
                self.cursor_index = 0
            elif key == "end":
                self.cursor_index = len(text)
            elif key == "backspace":
                if self.cursor_index != 0:
                    text = (text[:self.cursor_index - 1] +
                            text[self.cursor_index:])
                    self.cursor_index -= 1
            elif key == "delete":
                if self.cursor_index != len(self.text):
                    text = (text[:self.cursor_index] +
                            text[self.cursor_index + 1:])
            self.text_disp.set_text(text)
            self._rendercursor()
            if self.eventson:
                self._observers.process('change', self.text)
                if key in ["enter", "return"]:
                    self._observers.process('submit', self.text)

    def set_val(self, val):
        newval = str(val)
        if self.text == newval:
            return
        self.text_disp.set_text(newval)
        self._rendercursor()
        if self.eventson:
            self._observers.process('change', self.text)
            self._observers.process('submit', self.text)

    def begin_typing(self, x):
        self.capturekeystrokes = True
        # Disable keypress shortcuts, which may otherwise cause the figure to
        # be saved, closed, etc., until the user stops typing.  The way to
        # achieve this depends on whether toolmanager is in use.
        stack = ExitStack()  # Register cleanup actions when user stops typing.
        self._on_stop_typing = stack.close
        toolmanager = getattr(
            self.ax.figure.canvas.manager, "toolmanager", None)
        if toolmanager is not None:
            # If using toolmanager, lock keypresses, and plan to release the
            # lock when typing stops.
            toolmanager.keypresslock(self)
            stack.push(toolmanager.keypresslock.release, self)
        else:
            # If not using toolmanager, disable all keypress-related rcParams.
            # Avoid spurious warnings if keymaps are getting deprecated.
            with _api.suppress_matplotlib_deprecation_warning():
                stack.enter_context(mpl.rc_context(
                    {k: [] for k in mpl.rcParams if k.startswith("keymap.")}))

    def stop_typing(self):
        if self.capturekeystrokes:
            self._on_stop_typing()
            self._on_stop_typing = None
            notifysubmit = True
        else:
            notifysubmit = False
        self.capturekeystrokes = False
        self.cursor.set_visible(False)
        self.ax.figure.canvas.draw()
        if notifysubmit and self.eventson:
            # Because process() might throw an error in the user's code, only
            # call it once we've already done our cleanup.
            self._observers.process('submit', self.text)

    def position_cursor(self, x):
        # now, we have to figure out where the cursor goes.
        # approximate it based on assuming all characters the same length
        if len(self.text) == 0:
            self.cursor_index = 0
        else:
            bb = self.text_disp.get_window_extent()
            ratio = np.clip((x - bb.x0) / bb.width, 0, 1)
            self.cursor_index = int(len(self.text) * ratio)
        self._rendercursor()

    def _click(self, event):
        if self.ignore(event):
            return
        if event.inaxes != self.ax:
            self.stop_typing()
            return
        if not self.eventson:
            return
        if event.canvas.mouse_grabber != self.ax:
            event.canvas.grab_mouse(self.ax)
        if not self.capturekeystrokes:
            self.begin_typing(event.x)
        self.position_cursor(event.x)

    def _resize(self, event):
        self.stop_typing()

    def _motion(self, event):
        if self.ignore(event):
            return
        c = self.hovercolor if event.inaxes == self.ax else self.color
        if not colors.same_color(c, self.ax.get_facecolor()):
            self.ax.set_facecolor(c)
            if self.drawon:
                self.ax.figure.canvas.draw()

    def on_text_change(self, func):
        """
        When the text changes, call this *func* with event.

        A connection id is returned which can be used to disconnect.
        """
        return self._observers.connect('change', lambda text: func(text))

    def on_submit(self, func):
        """
        When the user hits enter or leaves the submission box, call this
        *func* with event.

        A connection id is returned which can be used to disconnect.
        """
        return self._observers.connect('submit', lambda text: func(text))

    def disconnect(self, cid):
        """Remove the observer with connection id *cid*."""
        self._observers.disconnect(cid)


class RadioButtons(AxesWidget):
    """
    A GUI neutral radio button.

    For the buttons to remain responsive you must keep a reference to this
    object.

    Connect to the RadioButtons with the `.on_clicked` method.

    Attributes
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    activecolor : color
        The color of the selected button.
    labels : list of `.Text`
        The button labels.
    circles : list of `~.patches.Circle`
        The buttons.
    value_selected : str
        The label text of the currently selected button.
    """

    def __init__(self, ax, labels, active=0, activecolor='blue'):
        """
        Add radio buttons to an `~.axes.Axes`.

        Parameters
        ----------
        ax : `~matplotlib.axes.Axes`
            The axes to add the buttons to.
        labels : list of str
            The button labels.
        active : int
            The index of the initially selected button.
        activecolor : color
            The color of the selected button.
        """
        super().__init__(ax)
        self.activecolor = activecolor
        self.value_selected = None

        ax.set_xticks([])
        ax.set_yticks([])
        ax.set_navigate(False)
        dy = 1. / (len(labels) + 1)
        ys = np.linspace(1 - dy, dy, len(labels))
        cnt = 0
        axcolor = ax.get_facecolor()

        # scale the radius of the circle with the spacing between each one
        circle_radius = dy / 2 - 0.01
        # default to hard-coded value if the radius becomes too large
        circle_radius = min(circle_radius, 0.05)

        self.labels = []
        self.circles = []
        for y, label in zip(ys, labels):
            t = ax.text(0.25, y, label, transform=ax.transAxes,
                        horizontalalignment='left',
                        verticalalignment='center')

            if cnt == active:
                self.value_selected = label
                facecolor = activecolor
            else:
                facecolor = axcolor

            p = Circle(xy=(0.15, y), radius=circle_radius, edgecolor='black',
                       facecolor=facecolor, transform=ax.transAxes)

            self.labels.append(t)
            self.circles.append(p)
            ax.add_patch(p)
            cnt += 1

        self.connect_event('button_press_event', self._clicked)

        self._observers = cbook.CallbackRegistry()

    cnt = _api.deprecated("3.4")(property(  # Not real, but close enough.
        lambda self: len(self._observers.callbacks['clicked'])))
    observers = _api.deprecated("3.4")(property(
        lambda self: self._observers.callbacks['clicked']))

    def _clicked(self, event):
        if self.ignore(event) or event.button != 1 or event.inaxes != self.ax:
            return
        pclicked = self.ax.transAxes.inverted().transform((event.x, event.y))
        distances = {}
        for i, (p, t) in enumerate(zip(self.circles, self.labels)):
            if (t.get_window_extent().contains(event.x, event.y)
                    or np.linalg.norm(pclicked - p.center) < p.radius):
                distances[i] = np.linalg.norm(pclicked - p.center)
        if len(distances) > 0:
            closest = min(distances, key=distances.get)
            self.set_active(closest)

    def set_active(self, index):
        """
        Select button with number *index*.

        Callbacks will be triggered if :attr:`eventson` is True.
        """
        if index not in range(len(self.labels)):
            raise ValueError(f'Invalid RadioButton index: {index}')

        self.value_selected = self.labels[index].get_text()

        for i, p in enumerate(self.circles):
            if i == index:
                color = self.activecolor
            else:
                color = self.ax.get_facecolor()
            p.set_facecolor(color)

        if self.drawon:
            self.ax.figure.canvas.draw()

        if self.eventson:
            self._observers.process('clicked', self.labels[index].get_text())

    def on_clicked(self, func):
        """
        Connect the callback function *func* to button click events.

        Returns a connection id, which can be used to disconnect the callback.
        """
        return self._observers.connect('clicked', func)

    def disconnect(self, cid):
        """Remove the observer with connection id *cid*."""
        self._observers.disconnect(cid)


class SubplotTool(Widget):
    """
    A tool to adjust the subplot params of a `matplotlib.figure.Figure`.
    """

    def __init__(self, targetfig, toolfig):
        """
        Parameters
        ----------
        targetfig : `.Figure`
            The figure instance to adjust.
        toolfig : `.Figure`
            The figure instance to embed the subplot tool into.
        """

        self.figure = toolfig
        self.targetfig = targetfig
        toolfig.subplots_adjust(left=0.2, right=0.9)
        toolfig.suptitle("Click on slider to adjust subplot param")

        self._sliders = []
        names = ["left", "bottom", "right", "top", "wspace", "hspace"]
        # The last subplot, removed below, keeps space for the "Reset" button.
        for name, ax in zip(names, toolfig.subplots(len(names) + 1)):
            ax.set_navigate(False)
            slider = Slider(ax, name,
                            0, 1, getattr(targetfig.subplotpars, name))
            slider.on_changed(self._on_slider_changed)
            self._sliders.append(slider)
        toolfig.axes[-1].remove()
        (self.sliderleft, self.sliderbottom, self.sliderright, self.slidertop,
         self.sliderwspace, self.sliderhspace) = self._sliders
        for slider in [self.sliderleft, self.sliderbottom,
                       self.sliderwspace, self.sliderhspace]:
            slider.closedmax = False
        for slider in [self.sliderright, self.slidertop]:
            slider.closedmin = False

        # constraints
        self.sliderleft.slidermax = self.sliderright
        self.sliderright.slidermin = self.sliderleft
        self.sliderbottom.slidermax = self.slidertop
        self.slidertop.slidermin = self.sliderbottom

        bax = toolfig.add_axes([0.8, 0.05, 0.15, 0.075])
        self.buttonreset = Button(bax, 'Reset')

        # During reset there can be a temporary invalid state depending on the
        # order of the reset so we turn off validation for the resetting
        with cbook._setattr_cm(toolfig.subplotpars, validate=False):
            self.buttonreset.on_clicked(self._on_reset)

    def _on_slider_changed(self, _):
        self.targetfig.subplots_adjust(
            **{slider.label.get_text(): slider.val
               for slider in self._sliders})
        if self.drawon:
            self.targetfig.canvas.draw()

    def _on_reset(self, event):
        with ExitStack() as stack:
            # Temporarily disable drawing on self and self's sliders.
            stack.enter_context(cbook._setattr_cm(self, drawon=False))
            for slider in self._sliders:
                stack.enter_context(cbook._setattr_cm(slider, drawon=False))
            # Reset the slider to the initial position.
            for slider in self._sliders:
                slider.reset()
        # Draw the canvas.
        if self.drawon:
            event.canvas.draw()
            self.targetfig.canvas.draw()

    axleft = _api.deprecated("3.3")(
        property(lambda self: self.sliderleft.ax))
    axright = _api.deprecated("3.3")(
        property(lambda self: self.sliderright.ax))
    axbottom = _api.deprecated("3.3")(
        property(lambda self: self.sliderbottom.ax))
    axtop = _api.deprecated("3.3")(
        property(lambda self: self.slidertop.ax))
    axwspace = _api.deprecated("3.3")(
        property(lambda self: self.sliderwspace.ax))
    axhspace = _api.deprecated("3.3")(
        property(lambda self: self.sliderhspace.ax))

    @_api.deprecated("3.3")
    def funcleft(self, val):
        self.targetfig.subplots_adjust(left=val)
        if self.drawon:
            self.targetfig.canvas.draw()

    @_api.deprecated("3.3")
    def funcright(self, val):
        self.targetfig.subplots_adjust(right=val)
        if self.drawon:
            self.targetfig.canvas.draw()

    @_api.deprecated("3.3")
    def funcbottom(self, val):
        self.targetfig.subplots_adjust(bottom=val)
        if self.drawon:
            self.targetfig.canvas.draw()

    @_api.deprecated("3.3")
    def functop(self, val):
        self.targetfig.subplots_adjust(top=val)
        if self.drawon:
            self.targetfig.canvas.draw()

    @_api.deprecated("3.3")
    def funcwspace(self, val):
        self.targetfig.subplots_adjust(wspace=val)
        if self.drawon:
            self.targetfig.canvas.draw()

    @_api.deprecated("3.3")
    def funchspace(self, val):
        self.targetfig.subplots_adjust(hspace=val)
        if self.drawon:
            self.targetfig.canvas.draw()


class Cursor(AxesWidget):
    """
    A crosshair cursor that spans the axes and moves with mouse cursor.

    For the cursor to remain responsive you must keep a reference to it.

    Parameters
    ----------
    ax : `matplotlib.axes.Axes`
        The `~.axes.Axes` to attach the cursor to.
    horizOn : bool, default: True
        Whether to draw the horizontal line.
    vertOn : bool, default: True
        Whether to draw the vertical line.
    useblit : bool, default: False
        Use blitting for faster drawing if supported by the backend.

    Other Parameters
    ----------------
    **lineprops
        `.Line2D` properties that control the appearance of the lines.
        See also `~.Axes.axhline`.

    Examples
    --------
    See :doc:`/gallery/widgets/cursor`.
    """

    def __init__(self, ax, horizOn=True, vertOn=True, useblit=False,
                 **lineprops):
        super().__init__(ax)

        self.connect_event('motion_notify_event', self.onmove)
        self.connect_event('draw_event', self.clear)

        self.visible = True
        self.horizOn = horizOn
        self.vertOn = vertOn
        self.useblit = useblit and self.canvas.supports_blit

        if self.useblit:
            lineprops['animated'] = True
        self.lineh = ax.axhline(ax.get_ybound()[0], visible=False, **lineprops)
        self.linev = ax.axvline(ax.get_xbound()[0], visible=False, **lineprops)

        self.background = None
        self.needclear = False

    def clear(self, event):
        """Internal event handler to clear the cursor."""
        if self.ignore(event):
            return
        if self.useblit:
            self.background = self.canvas.copy_from_bbox(self.ax.bbox)
        self.linev.set_visible(False)
        self.lineh.set_visible(False)

    def onmove(self, event):
        """Internal event handler to draw the cursor when the mouse moves."""
        if self.ignore(event):
            return
        if not self.canvas.widgetlock.available(self):
            return
        if event.inaxes != self.ax:
            self.linev.set_visible(False)
            self.lineh.set_visible(False)

            if self.needclear:
                self.canvas.draw()
                self.needclear = False
            return
        self.needclear = True
        if not self.visible:
            return
        self.linev.set_xdata((event.xdata, event.xdata))

        self.lineh.set_ydata((event.ydata, event.ydata))
        self.linev.set_visible(self.visible and self.vertOn)
        self.lineh.set_visible(self.visible and self.horizOn)

        self._update()

    def _update(self):
        if self.useblit:
            if self.background is not None:
                self.canvas.restore_region(self.background)
            self.ax.draw_artist(self.linev)
            self.ax.draw_artist(self.lineh)
            self.canvas.blit(self.ax.bbox)
        else:
            self.canvas.draw_idle()
        return False


class MultiCursor(Widget):
    """
    Provide a vertical (default) and/or horizontal line cursor shared between
    multiple axes.

    For the cursor to remain responsive you must keep a reference to it.

    Example usage::

        from matplotlib.widgets import MultiCursor
        import matplotlib.pyplot as plt
        import numpy as np

        fig, (ax1, ax2) = plt.subplots(nrows=2, sharex=True)
        t = np.arange(0.0, 2.0, 0.01)
        ax1.plot(t, np.sin(2*np.pi*t))
        ax2.plot(t, np.sin(4*np.pi*t))

        multi = MultiCursor(fig.canvas, (ax1, ax2), color='r', lw=1,
                            horizOn=False, vertOn=True)
        plt.show()

    """
    def __init__(self, canvas, axes, useblit=True, horizOn=False, vertOn=True,
                 **lineprops):

        self.canvas = canvas
        self.axes = axes
        self.horizOn = horizOn
        self.vertOn = vertOn

        xmin, xmax = axes[-1].get_xlim()
        ymin, ymax = axes[-1].get_ylim()
        xmid = 0.5 * (xmin + xmax)
        ymid = 0.5 * (ymin + ymax)

        self.visible = True
        self.useblit = useblit and self.canvas.supports_blit
        self.background = None
        self.needclear = False

        if self.useblit:
            lineprops['animated'] = True

        if vertOn:
            self.vlines = [ax.axvline(xmid, visible=False, **lineprops)
                           for ax in axes]
        else:
            self.vlines = []

        if horizOn:
            self.hlines = [ax.axhline(ymid, visible=False, **lineprops)
                           for ax in axes]
        else:
            self.hlines = []

        self.connect()

    def connect(self):
        """Connect events."""
        self._cidmotion = self.canvas.mpl_connect('motion_notify_event',
                                                  self.onmove)
        self._ciddraw = self.canvas.mpl_connect('draw_event', self.clear)

    def disconnect(self):
        """Disconnect events."""
        self.canvas.mpl_disconnect(self._cidmotion)
        self.canvas.mpl_disconnect(self._ciddraw)

    def clear(self, event):
        """Clear the cursor."""
        if self.ignore(event):
            return
        if self.useblit:
            self.background = (
                self.canvas.copy_from_bbox(self.canvas.figure.bbox))
        for line in self.vlines + self.hlines:
            line.set_visible(False)

    def onmove(self, event):
        if self.ignore(event):
            return
        if event.inaxes is None:
            return
        if not self.canvas.widgetlock.available(self):
            return
        self.needclear = True
        if not self.visible:
            return
        if self.vertOn:
            for line in self.vlines:
                line.set_xdata((event.xdata, event.xdata))
                line.set_visible(self.visible)
        if self.horizOn:
            for line in self.hlines:
                line.set_ydata((event.ydata, event.ydata))
                line.set_visible(self.visible)
        self._update()

    def _update(self):
        if self.useblit:
            if self.background is not None:
                self.canvas.restore_region(self.background)
            if self.vertOn:
                for ax, line in zip(self.axes, self.vlines):
                    ax.draw_artist(line)
            if self.horizOn:
                for ax, line in zip(self.axes, self.hlines):
                    ax.draw_artist(line)
            self.canvas.blit()
        else:
            self.canvas.draw_idle()


class _SelectorWidget(AxesWidget):

    def __init__(self, ax, onselect, useblit=False, button=None,
                 state_modifier_keys=None):
        super().__init__(ax)

        self.visible = True
        self.onselect = onselect
        self.useblit = useblit and self.canvas.supports_blit
        self.connect_default_events()

        self.state_modifier_keys = dict(move=' ', clear='escape',
                                        square='shift', center='control')
        self.state_modifier_keys.update(state_modifier_keys or {})

        self.background = None
        self.artists = []

        if isinstance(button, Integral):
            self.validButtons = [button]
        else:
            self.validButtons = button

        # will save the data (position at mouseclick)
        self.eventpress = None
        # will save the data (pos. at mouserelease)
        self.eventrelease = None
        self._prev_event = None
        self.state = set()

    def set_active(self, active):
        super().set_active(active)
        if active:
            self.update_background(None)

    def update_background(self, event):
        """Force an update of the background."""
        # If you add a call to `ignore` here, you'll want to check edge case:
        # `release` can call a draw event even when `ignore` is True.
        if not self.useblit:
            return
        # Make sure that widget artists don't get accidentally included in the
        # background, by re-rendering the background if needed (and then
        # re-re-rendering the canvas with the visible widget artists).
        needs_redraw = any(artist.get_visible() for artist in self.artists)
        with ExitStack() as stack:
            if needs_redraw:
                for artist in self.artists:
                    stack.callback(artist.set_visible, artist.get_visible())
                    artist.set_visible(False)
                self.canvas.draw()
            self.background = self.canvas.copy_from_bbox(self.ax.bbox)
        if needs_redraw:
            self.update()

    def connect_default_events(self):
        """Connect the major canvas events to methods."""
        self.connect_event('motion_notify_event', self.onmove)
        self.connect_event('button_press_event', self.press)
        self.connect_event('button_release_event', self.release)
        self.connect_event('draw_event', self.update_background)
        self.connect_event('key_press_event', self.on_key_press)
        self.connect_event('key_release_event', self.on_key_release)
        self.connect_event('scroll_event', self.on_scroll)

    def ignore(self, event):
        # docstring inherited
        if not self.active or not self.ax.get_visible():
            return True
        # If canvas was locked
        if not self.canvas.widgetlock.available(self):
            return True
        if not hasattr(event, 'button'):
            event.button = None
        # Only do rectangle selection if event was triggered
        # with a desired button
        if (self.validButtons is not None
                and event.button not in self.validButtons):
            return True
        # If no button was pressed yet ignore the event if it was out
        # of the axes
        if self.eventpress is None:
            return event.inaxes != self.ax
        # If a button was pressed, check if the release-button is the same.
        if event.button == self.eventpress.button:
            return False
        # If a button was pressed, check if the release-button is the same.
        return (event.inaxes != self.ax or
                event.button != self.eventpress.button)

    def update(self):
        """Draw using blit() or draw_idle(), depending on ``self.useblit``."""
        if not self.ax.get_visible():
            return False
        if self.useblit:
            if self.background is not None:
                self.canvas.restore_region(self.background)
            for artist in self.artists:
                self.ax.draw_artist(artist)
            self.canvas.blit(self.ax.bbox)
        else:
            self.canvas.draw_idle()
        return False

    def _get_data(self, event):
        """Get the xdata and ydata for event, with limits."""
        if event.xdata is None:
            return None, None
        xdata = np.clip(event.xdata, *self.ax.get_xbound())
        ydata = np.clip(event.ydata, *self.ax.get_ybound())
        return xdata, ydata

    def _clean_event(self, event):
        """
        Preprocess an event:

        - Replace *event* by the previous event if *event* has no ``xdata``.
        - Clip ``xdata`` and ``ydata`` to the axes limits.
        - Update the previous event.
        """
        if event.xdata is None:
            event = self._prev_event
        else:
            event = copy.copy(event)
        event.xdata, event.ydata = self._get_data(event)
        self._prev_event = event
        return event

    def press(self, event):
        """Button press handler and validator."""
        if not self.ignore(event):
            event = self._clean_event(event)
            self.eventpress = event
            self._prev_event = event
            key = event.key or ''
            key = key.replace('ctrl', 'control')
            # move state is locked in on a button press
            if key == self.state_modifier_keys['move']:
                self.state.add('move')
            self._press(event)
            return True
        return False

    def _press(self, event):
        """Button press event handler."""

    def release(self, event):
        """Button release event handler and validator."""
        if not self.ignore(event) and self.eventpress:
            event = self._clean_event(event)
            self.eventrelease = event
            self._release(event)
            self.eventpress = None
            self.eventrelease = None
            self.state.discard('move')
            return True
        return False

    def _release(self, event):
        """Button release event handler."""

    def onmove(self, event):
        """Cursor move event handler and validator."""
        if not self.ignore(event) and self.eventpress:
            event = self._clean_event(event)
            self._onmove(event)
            return True
        return False

    def _onmove(self, event):
        """Cursor move event handler."""

    def on_scroll(self, event):
        """Mouse scroll event handler and validator."""
        if not self.ignore(event):
            self._on_scroll(event)

    def _on_scroll(self, event):
        """Mouse scroll event handler."""

    def on_key_press(self, event):
        """Key press event handler and validator for all selection widgets."""
        if self.active:
            key = event.key or ''
            key = key.replace('ctrl', 'control')
            if key == self.state_modifier_keys['clear']:
                for artist in self.artists:
                    artist.set_visible(False)
                self.update()
                return
            for (state, modifier) in self.state_modifier_keys.items():
                if modifier in key:
                    self.state.add(state)
            self._on_key_press(event)

    def _on_key_press(self, event):
        """Key press event handler - for widget-specific key press actions."""

    def on_key_release(self, event):
        """Key release event handler and validator."""
        if self.active:
            key = event.key or ''
            for (state, modifier) in self.state_modifier_keys.items():
                if modifier in key:
                    self.state.discard(state)
            self._on_key_release(event)

    def _on_key_release(self, event):
        """Key release event handler."""

    def set_visible(self, visible):
        """Set the visibility of our artists."""
        self.visible = visible
        for artist in self.artists:
            artist.set_visible(visible)


class SpanSelector(_SelectorWidget):
    """
    Visually select a min/max range on a single axis and call a function with
    those values.

    To guarantee that the selector remains responsive, keep a reference to it.

    In order to turn off the SpanSelector, set ``span_selector.active`` to
    False.  To turn it back on, set it to True.

    Parameters
    ----------
    ax : `matplotlib.axes.Axes`

    onselect : func(min, max), min/max are floats

    direction : {"horizontal", "vertical"}
        The direction along which to draw the span selector.

    minspan : float, default: None
        If selection is less than *minspan*, do not call *onselect*.

    useblit : bool, default: False
        If True, use the backend-dependent blitting features for faster
        canvas updates.

    rectprops : dict, default: None
        Dictionary of `matplotlib.patches.Patch` properties.

    onmove_callback : func(min, max), min/max are floats, default: None
        Called on mouse move while the span is being selected.

    span_stays : bool, default: False
        If True, the span stays visible after the mouse is released.

    button : `.MouseButton` or list of `.MouseButton`
        The mouse buttons which activate the span selector.

    Examples
    --------
    >>> import matplotlib.pyplot as plt
    >>> import matplotlib.widgets as mwidgets
    >>> fig, ax = plt.subplots()
    >>> ax.plot([1, 2, 3], [10, 50, 100])
    >>> def onselect(vmin, vmax):
    ...     print(vmin, vmax)
    >>> rectprops = dict(facecolor='blue', alpha=0.5)
    >>> span = mwidgets.SpanSelector(ax, onselect, 'horizontal',
    ...                              rectprops=rectprops)
    >>> fig.show()

    See also: :doc:`/gallery/widgets/span_selector`
    """

    def __init__(self, ax, onselect, direction, minspan=None, useblit=False,
                 rectprops=None, onmove_callback=None, span_stays=False,
                 button=None):

        super().__init__(ax, onselect, useblit=useblit, button=button)

        if rectprops is None:
            rectprops = dict(facecolor='red', alpha=0.5)

        rectprops['animated'] = self.useblit

        _api.check_in_list(['horizontal', 'vertical'], direction=direction)
        self.direction = direction

        self.rect = None
        self.pressv = None

        self.rectprops = rectprops
        self.onmove_callback = onmove_callback
        self.minspan = minspan
        self.span_stays = span_stays

        # Needed when dragging out of axes
        self.prev = (0, 0)

        # Reset canvas so that `new_axes` connects events.
        self.canvas = None
        self.new_axes(ax)

    def new_axes(self, ax):
        """Set SpanSelector to operate on a new Axes."""
        self.ax = ax
        if self.canvas is not ax.figure.canvas:
            if self.canvas is not None:
                self.disconnect_events()

            self.canvas = ax.figure.canvas
            self.connect_default_events()

        if self.direction == 'horizontal':
            trans = ax.get_xaxis_transform()
            w, h = 0, 1
        else:
            trans = ax.get_yaxis_transform()
            w, h = 1, 0
        self.rect = Rectangle((0, 0), w, h,
                              transform=trans,
                              visible=False,
                              **self.rectprops)
        if self.span_stays:
            self.stay_rect = Rectangle((0, 0), w, h,
                                       transform=trans,
                                       visible=False,
                                       **self.rectprops)
            self.stay_rect.set_animated(False)
            self.ax.add_patch(self.stay_rect)

        self.ax.add_patch(self.rect)
        self.artists = [self.rect]

    def ignore(self, event):
        # docstring inherited
        return super().ignore(event) or not self.visible

    def _press(self, event):
        """Button press event handler."""
        self.rect.set_visible(self.visible)
        if self.span_stays:
            self.stay_rect.set_visible(False)
            # really force a draw so that the stay rect is not in
            # the blit background
            if self.useblit:
                self.canvas.draw()
        xdata, ydata = self._get_data(event)
        if self.direction == 'horizontal':
            self.pressv = xdata
        else:
            self.pressv = ydata

        self._set_span_xy(event)
        return False

    def _release(self, event):
        """Button release event handler."""
        if self.pressv is None:
            return

        self.rect.set_visible(False)

        if self.span_stays:
            self.stay_rect.set_x(self.rect.get_x())
            self.stay_rect.set_y(self.rect.get_y())
            self.stay_rect.set_width(self.rect.get_width())
            self.stay_rect.set_height(self.rect.get_height())
            self.stay_rect.set_visible(True)

        self.canvas.draw_idle()
        vmin = self.pressv
        xdata, ydata = self._get_data(event)
        if self.direction == 'horizontal':
            vmax = xdata or self.prev[0]
        else:
            vmax = ydata or self.prev[1]

        if vmin > vmax:
            vmin, vmax = vmax, vmin
        span = vmax - vmin
        if self.minspan is not None and span < self.minspan:
            return
        self.onselect(vmin, vmax)
        self.pressv = None
        return False

    def _onmove(self, event):
        """Motion notify event handler."""
        if self.pressv is None:
            return

        self._set_span_xy(event)

        if self.onmove_callback is not None:
            vmin = self.pressv
            xdata, ydata = self._get_data(event)
            if self.direction == 'horizontal':
                vmax = xdata or self.prev[0]
            else:
                vmax = ydata or self.prev[1]

            if vmin > vmax:
                vmin, vmax = vmax, vmin
            self.onmove_callback(vmin, vmax)

        self.update()
        return False

    def _set_span_xy(self, event):
        """Set the span coordinates."""
        x, y = self._get_data(event)
        if x is None:
            return

        self.prev = x, y
        if self.direction == 'horizontal':
            v = x
        else:
            v = y

        minv, maxv = v, self.pressv
        if minv > maxv:
            minv, maxv = maxv, minv
        if self.direction == 'horizontal':
            self.rect.set_x(minv)
            self.rect.set_width(maxv - minv)
        else:
            self.rect.set_y(minv)
            self.rect.set_height(maxv - minv)


class ToolHandles:
    """
    Control handles for canvas tools.

    Parameters
    ----------
    ax : `matplotlib.axes.Axes`
        Matplotlib axes where tool handles are displayed.
    x, y : 1D arrays
        Coordinates of control handles.
    marker : str
        Shape of marker used to display handle. See `matplotlib.pyplot.plot`.
    marker_props : dict
        Additional marker properties. See `matplotlib.lines.Line2D`.
    """

    def __init__(self, ax, x, y, marker='o', marker_props=None, useblit=True):
        self.ax = ax
        props = {'marker': marker, 'markersize': 7, 'markerfacecolor': 'w',
                 'linestyle': 'none', 'alpha': 0.5, 'visible': False,
                 'label': '_nolegend_',
                 **cbook.normalize_kwargs(marker_props, Line2D._alias_map)}
        self._markers = Line2D(x, y, animated=useblit, **props)
        self.ax.add_line(self._markers)
        self.artist = self._markers

    @property
    def x(self):
        return self._markers.get_xdata()

    @property
    def y(self):
        return self._markers.get_ydata()

    def set_data(self, pts, y=None):
        """Set x and y positions of handles."""
        if y is not None:
            x = pts
            pts = np.array([x, y])
        self._markers.set_data(pts)

    def set_visible(self, val):
        self._markers.set_visible(val)

    def set_animated(self, val):
        self._markers.set_animated(val)

    def closest(self, x, y):
        """Return index and pixel distance to closest index."""
        pts = np.column_stack([self.x, self.y])
        # Transform data coordinates to pixel coordinates.
        pts = self.ax.transData.transform(pts)
        diff = pts - [x, y]
        dist = np.hypot(*diff.T)
        min_index = np.argmin(dist)
        return min_index, dist[min_index]


class RectangleSelector(_SelectorWidget):
    """
    Select a rectangular region of an axes.

    For the cursor to remain responsive you must keep a reference to it.

    Examples
    --------
    :doc:`/gallery/widgets/rectangle_selector`
    """

    _shape_klass = Rectangle

    def __init__(self, ax, onselect, drawtype='box',
                 minspanx=0, minspany=0, useblit=False,
                 lineprops=None, rectprops=None, spancoords='data',
                 button=None, maxdist=10, marker_props=None,
                 interactive=False, state_modifier_keys=None):
        r"""
        Parameters
        ----------
        ax : `~matplotlib.axes.Axes`
            The parent axes for the widget.

        onselect : function
            A callback function that is called after a selection is completed.
            It must have the signature::

                def onselect(eclick: MouseEvent, erelease: MouseEvent)

            where *eclick* and *erelease* are the mouse click and release
            `.MouseEvent`\s that start and complete the selection.

        drawtype : {"box", "line", "none"}, default: "box"
            Whether to draw the full rectangle box, the diagonal line of the
            rectangle, or nothing at all.

        minspanx : float, default: 0
            Selections with an x-span less than *minspanx* are ignored.

        minspany : float, default: 0
            Selections with an y-span less than *minspany* are ignored.

        useblit : bool, default: False
            Whether to use blitting for faster drawing (if supported by the
            backend).

        lineprops : dict, optional
            Properties with which the line is drawn, if ``drawtype == "line"``.
            Default::

                dict(color="black", linestyle="-", linewidth=2, alpha=0.5)

        rectprops : dict, optional
            Properties with which the rectangle is drawn, if ``drawtype ==
            "box"``.  Default::

                dict(facecolor="red", edgecolor="black", alpha=0.2, fill=True)

        spancoords : {"data", "pixels"}, default: "data"
            Whether to interpret *minspanx* and *minspany* in data or in pixel
            coordinates.

        button : `.MouseButton`, list of `.MouseButton`, default: all buttons
            Button(s) that trigger rectangle selection.

        maxdist : float, default: 10
            Distance in pixels within which the interactive tool handles can be
            activated.

        marker_props : dict
            Properties with which the interactive handles are drawn.  Currently
            not implemented and ignored.

        interactive : bool, default: False
            Whether to draw a set of handles that allow interaction with the
            widget after it is drawn.

        state_modifier_keys : dict, optional
            Keyboard modifiers which affect the widget's behavior.  Values
            amend the defaults.

            - "move": Move the existing shape, default: no modifier.
            - "clear": Clear the current shape, default: "escape".
            - "square": Makes the shape square, default: "shift".
            - "center": Make the initial point the center of the shape,
              default: "ctrl".

            "square" and "center" can be combined.
        """
        super().__init__(ax, onselect, useblit=useblit, button=button,
                         state_modifier_keys=state_modifier_keys)

        self.to_draw = None
        self.visible = True
        self.interactive = interactive

        if drawtype == 'none':  # draw a line but make it invisible
            drawtype = 'line'
            self.visible = False

        if drawtype == 'box':
            if rectprops is None:
                rectprops = dict(facecolor='red', edgecolor='black',
                                 alpha=0.2, fill=True)
            rectprops['animated'] = self.useblit
            self.rectprops = rectprops
            self.to_draw = self._shape_klass((0, 0), 0, 1, visible=False,
                                             **self.rectprops)
            self.ax.add_patch(self.to_draw)
        if drawtype == 'line':
            if lineprops is None:
                lineprops = dict(color='black', linestyle='-',
                                 linewidth=2, alpha=0.5)
            lineprops['animated'] = self.useblit
            self.lineprops = lineprops
            self.to_draw = Line2D([0, 0], [0, 0], visible=False,
                                  **self.lineprops)
            self.ax.add_line(self.to_draw)

        self.minspanx = minspanx
        self.minspany = minspany

        _api.check_in_list(['data', 'pixels'], spancoords=spancoords)
        self.spancoords = spancoords
        self.drawtype = drawtype

        self.maxdist = maxdist

        if rectprops is None:
            props = dict(markeredgecolor='r')
        else:
            props = dict(markeredgecolor=rectprops.get('edgecolor', 'r'))
        props.update(cbook.normalize_kwargs(marker_props, Line2D._alias_map))
        self._corner_order = ['NW', 'NE', 'SE', 'SW']
        xc, yc = self.corners
        self._corner_handles = ToolHandles(self.ax, xc, yc, marker_props=props,
                                           useblit=self.useblit)

        self._edge_order = ['W', 'N', 'E', 'S']
        xe, ye = self.edge_centers
        self._edge_handles = ToolHandles(self.ax, xe, ye, marker='s',
                                         marker_props=props,
                                         useblit=self.useblit)

        xc, yc = self.center
        self._center_handle = ToolHandles(self.ax, [xc], [yc], marker='s',
                                          marker_props=props,
                                          useblit=self.useblit)

        self.active_handle = None

        self.artists = [self.to_draw, self._center_handle.artist,
                        self._corner_handles.artist,
                        self._edge_handles.artist]

        if not self.interactive:
            self.artists = [self.to_draw]

        self._extents_on_press = None

    def _press(self, event):
        """Button press event handler."""
        # make the drawn box/line visible get the click-coordinates,
        # button, ...
        if self.interactive and self.to_draw.get_visible():
            self._set_active_handle(event)
        else:
            self.active_handle = None

        if self.active_handle is None or not self.interactive:
            # Clear previous rectangle before drawing new rectangle.
            self.update()

        if not self.interactive:
            x = event.xdata
            y = event.ydata
            self.extents = x, x, y, y

        self.set_visible(self.visible)

    def _release(self, event):
        """Button release event handler."""
        if not self.interactive:
            self.to_draw.set_visible(False)

        # update the eventpress and eventrelease with the resulting extents
        x1, x2, y1, y2 = self.extents
        self.eventpress.xdata = x1
        self.eventpress.ydata = y1
        xy1 = self.ax.transData.transform([x1, y1])
        self.eventpress.x, self.eventpress.y = xy1

        self.eventrelease.xdata = x2
        self.eventrelease.ydata = y2
        xy2 = self.ax.transData.transform([x2, y2])
        self.eventrelease.x, self.eventrelease.y = xy2

        # calculate dimensions of box or line
        if self.spancoords == 'data':
            spanx = abs(self.eventpress.xdata - self.eventrelease.xdata)
            spany = abs(self.eventpress.ydata - self.eventrelease.ydata)
        elif self.spancoords == 'pixels':
            spanx = abs(self.eventpress.x - self.eventrelease.x)
            spany = abs(self.eventpress.y - self.eventrelease.y)
        else:
            _api.check_in_list(['data', 'pixels'],
                               spancoords=self.spancoords)
        # check if drawn distance (if it exists) is not too small in
        # either x or y-direction
        if (self.drawtype != 'none'
                and (self.minspanx is not None and spanx < self.minspanx
                     or self.minspany is not None and spany < self.minspany)):
            for artist in self.artists:
                artist.set_visible(False)
            self.update()
            return

        # call desired function
        self.onselect(self.eventpress, self.eventrelease)
        self.update()

        return False

    def _onmove(self, event):
        """Motion notify event handler."""
        # resize an existing shape
        if self.active_handle and self.active_handle != 'C':
            x1, x2, y1, y2 = self._extents_on_press
            if self.active_handle in ['E', 'W'] + self._corner_order:
                x2 = event.xdata
            if self.active_handle in ['N', 'S'] + self._corner_order:
                y2 = event.ydata

        # move existing shape
        elif (('move' in self.state or self.active_handle == 'C')
              and self._extents_on_press is not None):
            x1, x2, y1, y2 = self._extents_on_press
            dx = event.xdata - self.eventpress.xdata
            dy = event.ydata - self.eventpress.ydata
            x1 += dx
            x2 += dx
            y1 += dy
            y2 += dy

        # new shape
        else:
            center = [self.eventpress.xdata, self.eventpress.ydata]
            center_pix = [self.eventpress.x, self.eventpress.y]
            dx = (event.xdata - center[0]) / 2.
            dy = (event.ydata - center[1]) / 2.

            # square shape
            if 'square' in self.state:
                dx_pix = abs(event.x - center_pix[0])
                dy_pix = abs(event.y - center_pix[1])
                if not dx_pix:
                    return
                maxd = max(abs(dx_pix), abs(dy_pix))
                if abs(dx_pix) < maxd:
                    dx *= maxd / (abs(dx_pix) + 1e-6)
                if abs(dy_pix) < maxd:
                    dy *= maxd / (abs(dy_pix) + 1e-6)

            # from center
            if 'center' in self.state:
                dx *= 2
                dy *= 2

            # from corner
            else:
                center[0] += dx
                center[1] += dy

            x1, x2, y1, y2 = (center[0] - dx, center[0] + dx,
                              center[1] - dy, center[1] + dy)

        self.extents = x1, x2, y1, y2

    @property
    def _rect_bbox(self):
        if self.drawtype == 'box':
            x0 = self.to_draw.get_x()
            y0 = self.to_draw.get_y()
            width = self.to_draw.get_width()
            height = self.to_draw.get_height()
            return x0, y0, width, height
        else:
            x, y = self.to_draw.get_data()
            x0, x1 = min(x), max(x)
            y0, y1 = min(y), max(y)
            return x0, y0, x1 - x0, y1 - y0

    @property
    def corners(self):
        """Corners of rectangle from lower left, moving clockwise."""
        x0, y0, width, height = self._rect_bbox
        xc = x0, x0 + width, x0 + width, x0
        yc = y0, y0, y0 + height, y0 + height
        return xc, yc

    @property
    def edge_centers(self):
        """Midpoint of rectangle edges from left, moving anti-clockwise."""
        x0, y0, width, height = self._rect_bbox
        w = width / 2.
        h = height / 2.
        xe = x0, x0 + w, x0 + width, x0 + w
        ye = y0 + h, y0, y0 + h, y0 + height
        return xe, ye

    @property
    def center(self):
        """Center of rectangle."""
        x0, y0, width, height = self._rect_bbox
        return x0 + width / 2., y0 + height / 2.

    @property
    def extents(self):
        """Return (xmin, xmax, ymin, ymax)."""
        x0, y0, width, height = self._rect_bbox
        xmin, xmax = sorted([x0, x0 + width])
        ymin, ymax = sorted([y0, y0 + height])
        return xmin, xmax, ymin, ymax

    @extents.setter
    def extents(self, extents):
        # Update displayed shape
        self.draw_shape(extents)
        # Update displayed handles
        self._corner_handles.set_data(*self.corners)
        self._edge_handles.set_data(*self.edge_centers)
        self._center_handle.set_data(*self.center)
        self.set_visible(self.visible)
        self.update()

    def draw_shape(self, extents):
        x0, x1, y0, y1 = extents
        xmin, xmax = sorted([x0, x1])
        ymin, ymax = sorted([y0, y1])
        xlim = sorted(self.ax.get_xlim())
        ylim = sorted(self.ax.get_ylim())

        xmin = max(xlim[0], xmin)
        ymin = max(ylim[0], ymin)
        xmax = min(xmax, xlim[1])
        ymax = min(ymax, ylim[1])

        if self.drawtype == 'box':
            self.to_draw.set_x(xmin)
            self.to_draw.set_y(ymin)
            self.to_draw.set_width(xmax - xmin)
            self.to_draw.set_height(ymax - ymin)

        elif self.drawtype == 'line':
            self.to_draw.set_data([xmin, xmax], [ymin, ymax])

    def _set_active_handle(self, event):
        """Set active handle based on the location of the mouse event."""
        # Note: event.xdata/ydata in data coordinates, event.x/y in pixels
        c_idx, c_dist = self._corner_handles.closest(event.x, event.y)
        e_idx, e_dist = self._edge_handles.closest(event.x, event.y)
        m_idx, m_dist = self._center_handle.closest(event.x, event.y)

        if 'move' in self.state:
            self.active_handle = 'C'
            self._extents_on_press = self.extents

        # Set active handle as closest handle, if mouse click is close enough.
        elif m_dist < self.maxdist * 2:
            self.active_handle = 'C'
        elif c_dist > self.maxdist and e_dist > self.maxdist:
            self.active_handle = None
            return
        elif c_dist < e_dist:
            self.active_handle = self._corner_order[c_idx]
        else:
            self.active_handle = self._edge_order[e_idx]

        # Save coordinates of rectangle at the start of handle movement.
        x1, x2, y1, y2 = self.extents
        # Switch variables so that only x2 and/or y2 are updated on move.
        if self.active_handle in ['W', 'SW', 'NW']:
            x1, x2 = x2, event.xdata
        if self.active_handle in ['N', 'NW', 'NE']:
            y1, y2 = y2, event.ydata
        self._extents_on_press = x1, x2, y1, y2

    @property
    def geometry(self):
        """
        Return an array of shape (2, 5) containing the
        x (``RectangleSelector.geometry[1, :]``) and
        y (``RectangleSelector.geometry[0, :]``) coordinates
        of the four corners of the rectangle starting and ending
        in the top left corner.
        """
        if hasattr(self.to_draw, 'get_verts'):
            xfm = self.ax.transData.inverted()
            y, x = xfm.transform(self.to_draw.get_verts()).T
            return np.array([x, y])
        else:
            return np.array(self.to_draw.get_data())


class EllipseSelector(RectangleSelector):
    """
    Select an elliptical region of an axes.

    For the cursor to remain responsive you must keep a reference to it.

    Example usage::

        import numpy as np
        import matplotlib.pyplot as plt
        from matplotlib.widgets import EllipseSelector

        def onselect(eclick, erelease):
            "eclick and erelease are matplotlib events at press and release."
            print('startposition: (%f, %f)' % (eclick.xdata, eclick.ydata))
            print('endposition  : (%f, %f)' % (erelease.xdata, erelease.ydata))
            print('used button  : ', eclick.button)

        def toggle_selector(event):
            print(' Key pressed.')
            if event.key in ['Q', 'q'] and toggle_selector.ES.active:
                print('EllipseSelector deactivated.')
                toggle_selector.RS.set_active(False)
            if event.key in ['A', 'a'] and not toggle_selector.ES.active:
                print('EllipseSelector activated.')
                toggle_selector.ES.set_active(True)

        x = np.arange(100.) / 99
        y = np.sin(x)
        fig, ax = plt.subplots()
        ax.plot(x, y)

        toggle_selector.ES = EllipseSelector(ax, onselect, drawtype='line')
        fig.canvas.mpl_connect('key_press_event', toggle_selector)
        plt.show()
    """
    _shape_klass = Ellipse

    def draw_shape(self, extents):
        x1, x2, y1, y2 = extents
        xmin, xmax = sorted([x1, x2])
        ymin, ymax = sorted([y1, y2])
        center = [x1 + (x2 - x1) / 2., y1 + (y2 - y1) / 2.]
        a = (xmax - xmin) / 2.
        b = (ymax - ymin) / 2.

        if self.drawtype == 'box':
            self.to_draw.center = center
            self.to_draw.width = 2 * a
            self.to_draw.height = 2 * b
        else:
            rad = np.deg2rad(np.arange(31) * 12)
            x = a * np.cos(rad) + center[0]
            y = b * np.sin(rad) + center[1]
            self.to_draw.set_data(x, y)

    @property
    def _rect_bbox(self):
        if self.drawtype == 'box':
            x, y = self.to_draw.center
            width = self.to_draw.width
            height = self.to_draw.height
            return x - width / 2., y - height / 2., width, height
        else:
            x, y = self.to_draw.get_data()
            x0, x1 = min(x), max(x)
            y0, y1 = min(y), max(y)
            return x0, y0, x1 - x0, y1 - y0


class LassoSelector(_SelectorWidget):
    """
    Selection curve of an arbitrary shape.

    For the selector to remain responsive you must keep a reference to it.

    The selected path can be used in conjunction with `~.Path.contains_point`
    to select data points from an image.

    In contrast to `Lasso`, `LassoSelector` is written with an interface
    similar to `RectangleSelector` and `SpanSelector`, and will continue to
    interact with the axes until disconnected.

    Example usage::

        ax = plt.subplot()
        ax.plot(x, y)

        def onselect(verts):
            print(verts)
        lasso = LassoSelector(ax, onselect)

    Parameters
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    onselect : function
        Whenever the lasso is released, the *onselect* function is called and
        passed the vertices of the selected path.
    button : `.MouseButton` or list of `.MouseButton`, optional
        The mouse buttons used for rectangle selection.  Default is ``None``,
        which corresponds to all buttons.
    """

    def __init__(self, ax, onselect=None, useblit=True, lineprops=None,
                 button=None):
        super().__init__(ax, onselect, useblit=useblit, button=button)
        self.verts = None
        if lineprops is None:
            lineprops = dict()
        # self.useblit may be != useblit, if the canvas doesn't support blit.
        lineprops.update(animated=self.useblit, visible=False)
        self.line = Line2D([], [], **lineprops)
        self.ax.add_line(self.line)
        self.artists = [self.line]

    def onpress(self, event):
        self.press(event)

    def _press(self, event):
        self.verts = [self._get_data(event)]
        self.line.set_visible(True)

    def onrelease(self, event):
        self.release(event)

    def _release(self, event):
        if self.verts is not None:
            self.verts.append(self._get_data(event))
            self.onselect(self.verts)
        self.line.set_data([[], []])
        self.line.set_visible(False)
        self.verts = None

    def _onmove(self, event):
        if self.verts is None:
            return
        self.verts.append(self._get_data(event))

        self.line.set_data(list(zip(*self.verts)))

        self.update()


class PolygonSelector(_SelectorWidget):
    """
    Select a polygon region of an axes.

    Place vertices with each mouse click, and make the selection by completing
    the polygon (clicking on the first vertex). Hold the *ctrl* key and click
    and drag a vertex to reposition it (the *ctrl* key is not necessary if the
    polygon has already been completed). Hold the *shift* key and click and
    drag anywhere in the axes to move all vertices. Press the *esc* key to
    start a new polygon.

    For the selector to remain responsive you must keep a reference to it.

    Parameters
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    onselect : function
        When a polygon is completed or modified after completion,
        the *onselect* function is called and passed a list of the vertices as
        ``(xdata, ydata)`` tuples.
    useblit : bool, default: False
    lineprops : dict, default: \
``dict(color='k', linestyle='-', linewidth=2, alpha=0.5)``.
        Artist properties for the line representing the edges of the polygon.
    markerprops : dict, default: \
``dict(marker='o', markersize=7, mec='k', mfc='k', alpha=0.5)``.
        Artist properties for the markers drawn at the vertices of the polygon.
    vertex_select_radius : float, default: 15px
        A vertex is selected (to complete the polygon or to move a vertex) if
        the mouse click is within *vertex_select_radius* pixels of the vertex.

    Examples
    --------
    :doc:`/gallery/widgets/polygon_selector_demo`
    """

    def __init__(self, ax, onselect, useblit=False,
                 lineprops=None, markerprops=None, vertex_select_radius=15):
        # The state modifiers 'move', 'square', and 'center' are expected by
        # _SelectorWidget but are not supported by PolygonSelector
        # Note: could not use the existing 'move' state modifier in-place of
        # 'move_all' because _SelectorWidget automatically discards 'move'
        # from the state on button release.
        state_modifier_keys = dict(clear='escape', move_vertex='control',
                                   move_all='shift', move='not-applicable',
                                   square='not-applicable',
                                   center='not-applicable')
        super().__init__(ax, onselect, useblit=useblit,
                         state_modifier_keys=state_modifier_keys)

        self._xs, self._ys = [0], [0]
        self._polygon_completed = False

        if lineprops is None:
            lineprops = dict(color='k', linestyle='-', linewidth=2, alpha=0.5)
        lineprops['animated'] = self.useblit
        self.line = Line2D(self._xs, self._ys, **lineprops)
        self.ax.add_line(self.line)

        if markerprops is None:
            markerprops = dict(markeredgecolor='k',
                               markerfacecolor=lineprops.get('color', 'k'))
        self._polygon_handles = ToolHandles(self.ax, self._xs, self._ys,
                                            useblit=self.useblit,
                                            marker_props=markerprops)

        self._active_handle_idx = -1
        self.vertex_select_radius = vertex_select_radius

        self.artists = [self.line, self._polygon_handles.artist]
        self.set_visible(True)

    def _press(self, event):
        """Button press event handler."""
        # Check for selection of a tool handle.
        if ((self._polygon_completed or 'move_vertex' in self.state)
                and len(self._xs) > 0):
            h_idx, h_dist = self._polygon_handles.closest(event.x, event.y)
            if h_dist < self.vertex_select_radius:
                self._active_handle_idx = h_idx
        # Save the vertex positions at the time of the press event (needed to
        # support the 'move_all' state modifier).
        self._xs_at_press, self._ys_at_press = self._xs.copy(), self._ys.copy()

    def _release(self, event):
        """Button release event handler."""
        # Release active tool handle.
        if self._active_handle_idx >= 0:
            self._active_handle_idx = -1

        # Complete the polygon.
        elif (len(self._xs) > 3
              and self._xs[-1] == self._xs[0]
              and self._ys[-1] == self._ys[0]):
            self._polygon_completed = True

        # Place new vertex.
        elif (not self._polygon_completed
              and 'move_all' not in self.state
              and 'move_vertex' not in self.state):
            self._xs.insert(-1, event.xdata)
            self._ys.insert(-1, event.ydata)

        if self._polygon_completed:
            self.onselect(self.verts)

    def onmove(self, event):
        """Cursor move event handler and validator."""
        # Method overrides _SelectorWidget.onmove because the polygon selector
        # needs to process the move callback even if there is no button press.
        # _SelectorWidget.onmove include logic to ignore move event if
        # eventpress is None.
        if not self.ignore(event):
            event = self._clean_event(event)
            self._onmove(event)
            return True
        return False

    def _onmove(self, event):
        """Cursor move event handler."""
        # Move the active vertex (ToolHandle).
        if self._active_handle_idx >= 0:
            idx = self._active_handle_idx
            self._xs[idx], self._ys[idx] = event.xdata, event.ydata
            # Also update the end of the polygon line if the first vertex is
            # the active handle and the polygon is completed.
            if idx == 0 and self._polygon_completed:
                self._xs[-1], self._ys[-1] = event.xdata, event.ydata

        # Move all vertices.
        elif 'move_all' in self.state and self.eventpress:
            dx = event.xdata - self.eventpress.xdata
            dy = event.ydata - self.eventpress.ydata
            for k in range(len(self._xs)):
                self._xs[k] = self._xs_at_press[k] + dx
                self._ys[k] = self._ys_at_press[k] + dy

        # Do nothing if completed or waiting for a move.
        elif (self._polygon_completed
              or 'move_vertex' in self.state or 'move_all' in self.state):
            return

        # Position pending vertex.
        else:
            # Calculate distance to the start vertex.
            x0, y0 = self.line.get_transform().transform((self._xs[0],
                                                          self._ys[0]))
            v0_dist = np.hypot(x0 - event.x, y0 - event.y)
            # Lock on to the start vertex if near it and ready to complete.
            if len(self._xs) > 3 and v0_dist < self.vertex_select_radius:
                self._xs[-1], self._ys[-1] = self._xs[0], self._ys[0]
            else:
                self._xs[-1], self._ys[-1] = event.xdata, event.ydata

        self._draw_polygon()

    def _on_key_press(self, event):
        """Key press event handler."""
        # Remove the pending vertex if entering the 'move_vertex' or
        # 'move_all' mode
        if (not self._polygon_completed
                and ('move_vertex' in self.state or 'move_all' in self.state)):
            self._xs, self._ys = self._xs[:-1], self._ys[:-1]
            self._draw_polygon()

    def _on_key_release(self, event):
        """Key release event handler."""
        # Add back the pending vertex if leaving the 'move_vertex' or
        # 'move_all' mode (by checking the released key)
        if (not self._polygon_completed
                and
                (event.key == self.state_modifier_keys.get('move_vertex')
                 or event.key == self.state_modifier_keys.get('move_all'))):
            self._xs.append(event.xdata)
            self._ys.append(event.ydata)
            self._draw_polygon()
        # Reset the polygon if the released key is the 'clear' key.
        elif event.key == self.state_modifier_keys.get('clear'):
            event = self._clean_event(event)
            self._xs, self._ys = [event.xdata], [event.ydata]
            self._polygon_completed = False
            self.set_visible(True)

    def _draw_polygon(self):
        """Redraw the polygon based on the new vertex positions."""
        self.line.set_data(self._xs, self._ys)
        # Only show one tool handle at the start and end vertex of the polygon
        # if the polygon is completed or the user is locked on to the start
        # vertex.
        if (self._polygon_completed
                or (len(self._xs) > 3
                    and self._xs[-1] == self._xs[0]
                    and self._ys[-1] == self._ys[0])):
            self._polygon_handles.set_data(self._xs[:-1], self._ys[:-1])
        else:
            self._polygon_handles.set_data(self._xs, self._ys)
        self.update()

    @property
    def verts(self):
        """The polygon vertices, as a list of ``(x, y)`` pairs."""
        return list(zip(self._xs[:-1], self._ys[:-1]))


class Lasso(AxesWidget):
    """
    Selection curve of an arbitrary shape.

    The selected path can be used in conjunction with
    `~matplotlib.path.Path.contains_point` to select data points from an image.

    Unlike `LassoSelector`, this must be initialized with a starting
    point *xy*, and the `Lasso` events are destroyed upon release.

    Parameters
    ----------
    ax : `~matplotlib.axes.Axes`
        The parent axes for the widget.
    xy : (float, float)
        Coordinates of the start of the lasso.
    callback : callable
        Whenever the lasso is released, the *callback* function is called and
        passed the vertices of the selected path.
    """

    def __init__(self, ax, xy, callback=None, useblit=True):
        super().__init__(ax)

        self.useblit = useblit and self.canvas.supports_blit
        if self.useblit:
            self.background = self.canvas.copy_from_bbox(self.ax.bbox)

        x, y = xy
        self.verts = [(x, y)]
        self.line = Line2D([x], [y], linestyle='-', color='black', lw=2)
        self.ax.add_line(self.line)
        self.callback = callback
        self.connect_event('button_release_event', self.onrelease)
        self.connect_event('motion_notify_event', self.onmove)

    def onrelease(self, event):
        if self.ignore(event):
            return
        if self.verts is not None:
            self.verts.append((event.xdata, event.ydata))
            if len(self.verts) > 2:
                self.callback(self.verts)
            self.ax.lines.remove(self.line)
        self.verts = None
        self.disconnect_events()

    def onmove(self, event):
        if self.ignore(event):
            return
        if self.verts is None:
            return
        if event.inaxes != self.ax:
            return
        if event.button != 1:
            return
        self.verts.append((event.xdata, event.ydata))

        self.line.set_data(list(zip(*self.verts)))

        if self.useblit:
            self.canvas.restore_region(self.background)
            self.ax.draw_artist(self.line)
            self.canvas.blit(self.ax.bbox)
        else:
            self.canvas.draw_idle()