content: """
  The figure module provides the top-level
  :class:`~matplotlib.artist.Artist`, the :class:`Figure`, which
  contains all the plot elements.  The following classes are defined
  
  :class:`SubplotParams`
      control the default spacing of the subplots
  
  :class:`Figure`
      top level container for all plot elements
  
  """
  
  from __future__ import (absolute_import, division, print_function,
                          unicode_literals)
  
  import six
  
  import warnings
  from operator import itemgetter
  
  import numpy as np
  
  from matplotlib import rcParams
  from matplotlib import docstring
  from matplotlib import __version__ as _mpl_version
  
  import matplotlib.artist as martist
  from matplotlib.artist import Artist, allow_rasterization
  
  import matplotlib.cbook as cbook
  
  from matplotlib.cbook import Stack, iterable
  
  from matplotlib import _image
  from matplotlib.image import FigureImage
  
  import matplotlib.colorbar as cbar
  
  from matplotlib.axes import Axes, SubplotBase, subplot_class_factory
  from matplotlib.blocking_input import BlockingMouseInput, BlockingKeyMouseInput
  from matplotlib.legend import Legend
  from matplotlib.patches import Rectangle
  from matplotlib.projections import (get_projection_names,
                                      process_projection_requirements)
  from matplotlib.text import Text, _process_text_args
  from matplotlib.transforms import (Affine2D, Bbox, BboxTransformTo,
                                     TransformedBbox)
  from matplotlib.backend_bases import NonGuiException
  
  docstring.interpd.update(projection_names=get_projection_names())
  
  
  class AxesStack(Stack):
      """
      Specialization of the Stack to handle all tracking of Axes in a Figure.
      This stack stores ``key, (ind, axes)`` pairs, where:
  
          * **key** should be a hash of the args and kwargs
            used in generating the Axes.
          * **ind** is a serial number for tracking the order
            in which axes were added.
  
      The AxesStack is a callable, where ``ax_stack()`` returns
      the current axes. Alternatively the :meth:`current_key_axes` will
      return the current key and associated axes.
  
      """
      def __init__(self):
          Stack.__init__(self)
          self._ind = 0
  
      def as_list(self):
          """
          Return a list of the Axes instances that have been added to the figure
          """
          ia_list = [a for k, a in self._elements]
          ia_list.sort()
          return [a for i, a in ia_list]
  
      def get(self, key):
          """
          Return the Axes instance that was added with *key*.
          If it is not present, return None.
          """
          item = dict(self._elements).get(key)
          if item is None:
              return None
          return item[1]
  
      def _entry_from_axes(self, e):
          ind, k = dict([(a, (ind, k)) for (k, (ind, a)) in self._elements])[e]
          return (k, (ind, e))
  
      def remove(self, a):
          """Remove the axes from the stack."""
          Stack.remove(self, self._entry_from_axes(a))
  
      def bubble(self, a):
          """
          Move the given axes, which must already exist in the
          stack, to the top.
          """
          return Stack.bubble(self, self._entry_from_axes(a))
  
      def add(self, key, a):
          """
          Add Axes *a*, with key *key*, to the stack, and return the stack.
  
          If *a* is already on the stack, don't add it again, but
          return *None*.
          """
          # All the error checking may be unnecessary; but this method
          # is called so seldom that the overhead is negligible.
          if not isinstance(a, Axes):
              raise ValueError("second argument, %s, is not an Axes" % a)
          try:
              hash(key)
          except TypeError:
              raise ValueError("first argument, %s, is not a valid key" % key)
  
          a_existing = self.get(key)
          if a_existing is not None:
              Stack.remove(self, (key, a_existing))
              warnings.warn(
                  "key %s already existed; Axes is being replaced" % key)
              # I don't think the above should ever happen.
  
          if a in self:
              return None
          self._ind += 1
          return Stack.push(self, (key, (self._ind, a)))
  
      def current_key_axes(self):
          """
          Return a tuple of ``(key, axes)`` for the active axes.
  
          If no axes exists on the stack, then returns ``(None, None)``.
  
          """
          if not len(self._elements):
              return self._default, self._default
          else:
              key, (index, axes) = self._elements[self._pos]
              return key, axes
  
      def __call__(self):
          return self.current_key_axes()[1]
  
      def __contains__(self, a):
          return a in self.as_list()
  
  
  class SubplotParams:
      """
      A class to hold the parameters for a subplot
      """
      def __init__(self, left=None, bottom=None, right=None, top=None,
                   wspace=None, hspace=None):
          """
          All dimensions are fraction of the figure width or height.
          All values default to their rc params
  
          The following attributes are available
  
          *left*  : 0.125
              The left side of the subplots of the figure
  
          *right* : 0.9
              The right side of the subplots of the figure
  
          *bottom* : 0.1
              The bottom of the subplots of the figure
  
          *top* : 0.9
              The top of the subplots of the figure
  
          *wspace* : 0.2
              The amount of width reserved for blank space between subplots
  
          *hspace* : 0.2
              The amount of height reserved for white space between subplots
          """
  
          self.validate = True
          self.update(left, bottom, right, top, wspace, hspace)
  
      def update(self, left=None, bottom=None, right=None, top=None,
                 wspace=None, hspace=None):
          """
          Update the current values.  If any kwarg is None, default to
          the current value, if set, otherwise to rc
  
          """
  
          thisleft = getattr(self, 'left', None)
          thisright = getattr(self, 'right', None)
          thistop = getattr(self, 'top', None)
          thisbottom = getattr(self, 'bottom', None)
          thiswspace = getattr(self, 'wspace', None)
          thishspace = getattr(self, 'hspace', None)
  
          self._update_this('left', left)
          self._update_this('right', right)
          self._update_this('bottom', bottom)
          self._update_this('top', top)
          self._update_this('wspace', wspace)
          self._update_this('hspace', hspace)
  
          def reset():
              self.left = thisleft
              self.right = thisright
              self.top = thistop
              self.bottom = thisbottom
              self.wspace = thiswspace
              self.hspace = thishspace
  
          if self.validate:
              if self.left >= self.right:
                  reset()
                  raise ValueError('left cannot be >= right')
  
              if self.bottom >= self.top:
                  reset()
                  raise ValueError('bottom cannot be >= top')
  
      def _update_this(self, s, val):
          if val is None:
              val = getattr(self, s, None)
              if val is None:
                  key = 'figure.subplot.' + s
                  val = rcParams[key]
  
          setattr(self, s, val)
  
  
  class Figure(Artist):
  
      """
      The Figure instance supports callbacks through a *callbacks*
      attribute which is a :class:`matplotlib.cbook.CallbackRegistry`
      instance.  The events you can connect to are 'dpi_changed', and
      the callback will be called with ``func(fig)`` where fig is the
      :class:`Figure` instance.
  
      *patch*
         The figure patch is drawn by a
         :class:`matplotlib.patches.Rectangle` instance
  
      *suppressComposite*
         For multiple figure images, the figure will make composite
         images depending on the renderer option_image_nocomposite
         function.  If suppressComposite is True|False, this will
         override the renderer.
      """
  
      def __str__(self):
          return "Figure(%gx%g)" % tuple(self.bbox.size)
  
      def __init__(self,
                   figsize=None,  # defaults to rc figure.figsize
                   dpi=None,  # defaults to rc figure.dpi
                   facecolor=None,  # defaults to rc figure.facecolor
                   edgecolor=None,  # defaults to rc figure.edgecolor
                   linewidth=0.0,  # the default linewidth of the frame
                   frameon=None,  # whether or not to draw the figure frame
                   subplotpars=None,  # default to rc
                   tight_layout=None,  # default to rc figure.autolayout
                   ):
          """
          *figsize*
              w,h tuple in inches
  
          *dpi*
              Dots per inch
  
          *facecolor*
              The figure patch facecolor; defaults to rc ``figure.facecolor``
  
          *edgecolor*
              The figure patch edge color; defaults to rc ``figure.edgecolor``
  
          *linewidth*
              The figure patch edge linewidth; the default linewidth of the frame
  
          *frameon*
              If *False*, suppress drawing the figure frame
  
          *subplotpars*
              A :class:`SubplotParams` instance, defaults to rc
  
          *tight_layout*
              If *False* use *subplotpars*; if *True* adjust subplot
              parameters using :meth:`tight_layout` with default padding.
              When providing a dict containing the keys `pad`, `w_pad`, `h_pad`
              and `rect`, the default :meth:`tight_layout` paddings will be
              overridden.
              Defaults to rc ``figure.autolayout``.
          """
          Artist.__init__(self)
  
          self.callbacks = cbook.CallbackRegistry()
  
          if figsize is None:
              figsize = rcParams['figure.figsize']
          if dpi is None:
              dpi = rcParams['figure.dpi']
          if facecolor is None:
              facecolor = rcParams['figure.facecolor']
          if edgecolor is None:
              edgecolor = rcParams['figure.edgecolor']
          if frameon is None:
              frameon = rcParams['figure.frameon']
  
          self.dpi_scale_trans = Affine2D()
          self.dpi = dpi
          self.bbox_inches = Bbox.from_bounds(0, 0, *figsize)
          self.bbox = TransformedBbox(self.bbox_inches, self.dpi_scale_trans)
  
          self.frameon = frameon
  
          self.transFigure = BboxTransformTo(self.bbox)
  
          # the figurePatch name is deprecated
          self.patch = self.figurePatch = Rectangle(
              xy=(0, 0), width=1, height=1,
              facecolor=facecolor, edgecolor=edgecolor,
              linewidth=linewidth)
          self._set_artist_props(self.patch)
          self.patch.set_aa(False)
  
          self._hold = rcParams['axes.hold']
          self.canvas = None
          self._suptitle = None
  
          if subplotpars is None:
              subplotpars = SubplotParams()
  
          self.subplotpars = subplotpars
          self.set_tight_layout(tight_layout)
  
          self._axstack = AxesStack()  # track all figure axes and current axes
          self.clf()
          self._cachedRenderer = None
  
      # TODO: I'd like to dynamically add the _repr_html_ method
      # to the figure in the right context, but then IPython doesn't
      # use it, for some reason.
  
      def _repr_html_(self):
          # We can't use "isinstance" here, because then we'd end up importing
          # webagg unconditiionally.
          if (self.canvas is not None and
              'WebAgg' in self.canvas.__class__.__name__):
              from matplotlib.backends import backend_webagg
              return backend_webagg.ipython_inline_display(self)
  
      def show(self, warn=True):
          """
          If using a GUI backend with pyplot, display the figure window.
  
          If the figure was not created using
          :func:`~matplotlib.pyplot.figure`, it will lack a
          :class:`~matplotlib.backend_bases.FigureManagerBase`, and
          will raise an AttributeError.
  
          For non-GUI backends, this does nothing, in which case
          a warning will be issued if *warn* is True (default).
          """
          try:
              manager = getattr(self.canvas, 'manager')
          except AttributeError as err:
              raise AttributeError("%s\n"
                                   "Figure.show works only "
                                   "for figures managed by pyplot, normally "
                                   "created by pyplot.figure()." % err)
  
          if manager is not None:
              try:
                  manager.show()
                  return
              except NonGuiException:
                  pass
          if warn:
              import warnings
              warnings.warn(
                  "matplotlib is currently using a non-GUI backend, "
                  "so cannot show the figure")
  
      def _get_axes(self):
          return self._axstack.as_list()
  
      axes = property(fget=_get_axes, doc="Read-only: list of axes in Figure")
  
      def _get_dpi(self):
          return self._dpi
  
      def _set_dpi(self, dpi):
          self._dpi = dpi
          self.dpi_scale_trans.clear().scale(dpi, dpi)
          self.callbacks.process('dpi_changed', self)
      dpi = property(_get_dpi, _set_dpi)
  
      def get_tight_layout(self):
          """
          Return the Boolean flag, True to use :meth`tight_layout` when drawing.
          """
          return self._tight
  
      def set_tight_layout(self, tight):
          """
          Set whether :meth:`tight_layout` is used upon drawing.
          If None, the rcParams['figure.autolayout'] value will be set.
  
          When providing a dict containing the keys `pad`, `w_pad`, `h_pad`
          and `rect`, the default :meth:`tight_layout` paddings will be
          overridden.
  
          ACCEPTS: [True | False | dict | None ]
          """
          if tight is None:
              tight = rcParams['figure.autolayout']
          self._tight = bool(tight)
          self._tight_parameters = tight if isinstance(tight, dict) else {}
  
      def autofmt_xdate(self, bottom=0.2, rotation=30, ha='right'):
          """
          Date ticklabels often overlap, so it is useful to rotate them
          and right align them.  Also, a common use case is a number of
          subplots with shared xaxes where the x-axis is date data.  The
          ticklabels are often long, and it helps to rotate them on the
          bottom subplot and turn them off on other subplots, as well as
          turn off xlabels.
  
          *bottom*
              The bottom of the subplots for :meth:`subplots_adjust`
  
          *rotation*
              The rotation of the xtick labels
  
          *ha*
              The horizontal alignment of the xticklabels
          """
          allsubplots = np.alltrue([hasattr(ax, 'is_last_row') for ax
                                    in self.axes])
          if len(self.axes) == 1:
              for label in self.axes[0].get_xticklabels():
                  label.set_ha(ha)
                  label.set_rotation(rotation)
          else:
              if allsubplots:
                  for ax in self.get_axes():
                      if ax.is_last_row():
                          for label in ax.get_xticklabels():
                              label.set_ha(ha)
                              label.set_rotation(rotation)
                      else:
                          for label in ax.get_xticklabels():
                              label.set_visible(False)
                          ax.set_xlabel('')
  
          if allsubplots:
              self.subplots_adjust(bottom=bottom)
  
      def get_children(self):
          'get a list of artists contained in the figure'
          children = [self.patch]
          children.extend(self.artists)
          children.extend(self.axes)
          children.extend(self.lines)
          children.extend(self.patches)
          children.extend(self.texts)
          children.extend(self.images)
          children.extend(self.legends)
          return children
  
      def contains(self, mouseevent):
          """
          Test whether the mouse event occurred on the figure.
  
          Returns True,{}
          """
          if six.callable(self._contains):
              return self._contains(self, mouseevent)
          # inside = mouseevent.x >= 0 and mouseevent.y >= 0
          inside = self.bbox.contains(mouseevent.x, mouseevent.y)
  
          return inside, {}
  
      def get_window_extent(self, *args, **kwargs):
          'get the figure bounding box in display space; kwargs are void'
          return self.bbox
  
      def suptitle(self, t, **kwargs):
          """
          Add a centered title to the figure.
  
          kwargs are :class:`matplotlib.text.Text` properties.  Using figure
          coordinates, the defaults are:
  
            *x* : 0.5
              The x location of the text in figure coords
  
            *y* : 0.98
              The y location of the text in figure coords
  
            *horizontalalignment* : 'center'
              The horizontal alignment of the text
  
            *verticalalignment* : 'top'
              The vertical alignment of the text
  
          A :class:`matplotlib.text.Text` instance is returned.
  
          Example::
  
            fig.suptitle('this is the figure title', fontsize=12)
          """
          x = kwargs.pop('x', 0.5)
          y = kwargs.pop('y', 0.98)
          if ('horizontalalignment' not in kwargs) and ('ha' not in kwargs):
              kwargs['horizontalalignment'] = 'center'
  
          if ('verticalalignment' not in kwargs) and ('va' not in kwargs):
              kwargs['verticalalignment'] = 'top'
  
          sup = self.text(x, y, t, **kwargs)
          if self._suptitle is not None:
              self._suptitle.set_text(t)
              self._suptitle.set_position((x, y))
              self._suptitle.update_from(sup)
              sup.remove()
          else:
              self._suptitle = sup
          return self._suptitle
  
      def set_canvas(self, canvas):
          """
          Set the canvas the contains the figure
  
          ACCEPTS: a FigureCanvas instance
          """
          self.canvas = canvas
  
      def hold(self, b=None):
          """
          Set the hold state.  If hold is None (default), toggle the
          hold state.  Else set the hold state to boolean value b.
  
          e.g.::
  
              hold()      # toggle hold
              hold(True)  # hold is on
              hold(False) # hold is off
          """
          if b is None:
              self._hold = not self._hold
          else:
              self._hold = b
  
      def figimage(self, X,
                   xo=0,
                   yo=0,
                   alpha=None,
                   norm=None,
                   cmap=None,
                   vmin=None,
                   vmax=None,
                   origin=None,
                   **kwargs):
          """
          Adds a non-resampled image to the figure.
  
          call signatures::
  
            figimage(X, **kwargs)
  
          adds a non-resampled array *X* to the figure.
  
          ::
  
            figimage(X, xo, yo)
  
          with pixel offsets *xo*, *yo*,
  
          *X* must be a float array:
  
          * If *X* is MxN, assume luminance (grayscale)
          * If *X* is MxNx3, assume RGB
          * If *X* is MxNx4, assume RGBA
  
          Optional keyword arguments:
  
            =========   =========================================================
            Keyword     Description
            =========   =========================================================
            xo or yo    An integer, the *x* and *y* image offset in pixels
            cmap        a :class:`matplotlib.colors.Colormap` instance, e.g.,
                        cm.jet. If *None*, default to the rc ``image.cmap``
                        value
            norm        a :class:`matplotlib.colors.Normalize` instance. The
                        default is normalization().  This scales luminance -> 0-1
            vmin|vmax   are used to scale a luminance image to 0-1.  If either
                        is *None*, the min and max of the luminance values will
                        be used.  Note if you pass a norm instance, the settings
                        for *vmin* and *vmax* will be ignored.
            alpha       the alpha blending value, default is *None*
            origin      [ 'upper' | 'lower' ] Indicates where the [0,0] index of
                        the array is in the upper left or lower left corner of
                        the axes. Defaults to the rc image.origin value
            =========   =========================================================
  
          figimage complements the axes image
          (:meth:`~matplotlib.axes.Axes.imshow`) which will be resampled
          to fit the current axes.  If you want a resampled image to
          fill the entire figure, you can define an
          :class:`~matplotlib.axes.Axes` with size [0,1,0,1].
  
          An :class:`matplotlib.image.FigureImage` instance is returned.
  
          .. plot:: mpl_examples/pylab_examples/figimage_demo.py
  
  
          Additional kwargs are Artist kwargs passed on to
          :class:`~matplotlib.image.FigureImage`
          """
  
          if not self._hold:
              self.clf()
  
          im = FigureImage(self, cmap, norm, xo, yo, origin, **kwargs)
          im.set_array(X)
          im.set_alpha(alpha)
          if norm is None:
              im.set_clim(vmin, vmax)
          self.images.append(im)
          im._remove_method = lambda h: self.images.remove(h)
          return im
  
      def set_size_inches(self, *args, **kwargs):
          """
          set_size_inches(w,h, forward=False)
  
          Set the figure size in inches (1in == 2.54cm)
  
          Usage::
  
               fig.set_size_inches(w,h)  # OR
               fig.set_size_inches((w,h) )
  
          optional kwarg *forward=True* will cause the canvas size to be
          automatically updated; e.g., you can resize the figure window
          from the shell
  
          ACCEPTS: a w,h tuple with w,h in inches
  
          See Also
          --------
  
          matplotlib.Figure.get_size_inches
          """
  
          forward = kwargs.get('forward', False)
          if len(args) == 1:
              w, h = args[0]
          else:
              w, h = args
  
          dpival = self.dpi
          self.bbox_inches.p1 = w, h
  
          if forward:
              dpival = self.dpi
              canvasw = w * dpival
              canvash = h * dpival
              manager = getattr(self.canvas, 'manager', None)
              if manager is not None:
                  manager.resize(int(canvasw), int(canvash))
  
      def get_size_inches(self):
          """
          Returns the current size of the figure in inches (1in == 2.54cm)
          as an numpy array.
  
          Returns
          -------
          size : ndarray
             The size of the figure in inches
  
          See Also
          --------
  
          matplotlib.Figure.set_size_inches
          """
          return np.array(self.bbox_inches.p1)
  
      def get_edgecolor(self):
          'Get the edge color of the Figure rectangle'
          return self.patch.get_edgecolor()
  
      def get_facecolor(self):
          'Get the face color of the Figure rectangle'
          return self.patch.get_facecolor()
  
      def get_figwidth(self):
          'Return the figwidth as a float'
          return self.bbox_inches.width
  
      def get_figheight(self):
          'Return the figheight as a float'
          return self.bbox_inches.height
  
      def get_dpi(self):
          'Return the dpi as a float'
          return self.dpi
  
      def get_frameon(self):
          'get the boolean indicating frameon'
          return self.frameon
  
      def set_edgecolor(self, color):
          """
          Set the edge color of the Figure rectangle
  
          ACCEPTS: any matplotlib color - see help(colors)
          """
          self.patch.set_edgecolor(color)
  
      def set_facecolor(self, color):
          """
          Set the face color of the Figure rectangle
  
          ACCEPTS: any matplotlib color - see help(colors)
          """
          self.patch.set_facecolor(color)
  
      def set_dpi(self, val):
          """
          Set the dots-per-inch of the figure
  
          ACCEPTS: float
          """
          self.dpi = val
  
      def set_figwidth(self, val):
          """
          Set the width of the figure in inches
  
          ACCEPTS: float
          """
          self.bbox_inches.x1 = val
  
      def set_figheight(self, val):
          """
          Set the height of the figure in inches
  
          ACCEPTS: float
          """
          self.bbox_inches.y1 = val
  
      def set_frameon(self, b):
          """
          Set whether the figure frame (background) is displayed or invisible
  
          ACCEPTS: boolean
          """
          self.frameon = b
  
      def delaxes(self, a):
          'remove a from the figure and update the current axes'
          self._axstack.remove(a)
          for func in self._axobservers:
              func(self)
  
      def _make_key(self, *args, **kwargs):
          'make a hashable key out of args and kwargs'
  
          def fixitems(items):
              #items may have arrays and lists in them, so convert them
              # to tuples for the key
              ret = []
              for k, v in items:
                  # some objects can define __getitem__ without being
                  # iterable and in those cases the conversion to tuples
                  # will fail. So instead of using the iterable(v) function
                  # we simply try and convert to a tuple, and proceed if not.
                  try:
                      v = tuple(v)
                  except Exception:
                      pass
                  ret.append((k, v))
              return tuple(ret)
  
          def fixlist(args):
              ret = []
              for a in args:
                  if iterable(a):
                      a = tuple(a)
                  ret.append(a)
              return tuple(ret)
  
          key = fixlist(args), fixitems(six.iteritems(kwargs))
          return key
  
      @docstring.dedent_interpd
      def add_axes(self, *args, **kwargs):
          """
          Add an axes at position *rect* [*left*, *bottom*, *width*,
          *height*] where all quantities are in fractions of figure
          width and height.  kwargs are legal
          :class:`~matplotlib.axes.Axes` kwargs plus *projection* which
          sets the projection type of the axes.  (For backward
          compatibility, ``polar=True`` may also be provided, which is
          equivalent to ``projection='polar'``).  Valid values for
          *projection* are: %(projection_names)s.  Some of these
          projections support  additional kwargs, which may be provided
          to :meth:`add_axes`. Typical usage::
  
              rect = l,b,w,h
              fig.add_axes(rect)
              fig.add_axes(rect, frameon=False, axisbg='g')
              fig.add_axes(rect, polar=True)
              fig.add_axes(rect, projection='polar')
              fig.add_axes(ax)
  
          If the figure already has an axes with the same parameters,
          then it will simply make that axes current and return it.  If
          you do not want this behavior, e.g., you want to force the
          creation of a new Axes, you must use a unique set of args and
          kwargs.  The axes :attr:`~matplotlib.axes.Axes.label`
          attribute has been exposed for this purpose.  e.g., if you want
          two axes that are otherwise identical to be added to the
          figure, make sure you give them unique labels::
  
              fig.add_axes(rect, label='axes1')
              fig.add_axes(rect, label='axes2')
  
          In rare circumstances, add_axes may be called with a single
          argument, an Axes instance already created in the present
          figure but not in the figure's list of axes.  For example,
          if an axes has been removed with :meth:`delaxes`, it can
          be restored with::
  
              fig.add_axes(ax)
  
          In all cases, the :class:`~matplotlib.axes.Axes` instance
          will be returned.
  
          In addition to *projection*, the following kwargs are supported:
  
          %(Axes)s
          """
          if not len(args):
              return
  
          # shortcut the projection "key" modifications later on, if an axes
          # with the exact args/kwargs exists, return it immediately.
          key = self._make_key(*args, **kwargs)
          ax = self._axstack.get(key)
          if ax is not None:
              self.sca(ax)
              return ax
  
          if isinstance(args[0], Axes):
              a = args[0]
              assert(a.get_figure() is self)
          else:
              rect = args[0]
              projection_class, kwargs, key = process_projection_requirements(
                  self, *args, **kwargs)
  
              # check that an axes of this type doesn't already exist, if it
              # does, set it as active and return it
              ax = self._axstack.get(key)
              if ax is not None and isinstance(ax, projection_class):
                  self.sca(ax)
                  return ax
  
              # create the new axes using the axes class given
              a = projection_class(self, rect, **kwargs)
  
          self._axstack.add(key, a)
          self.sca(a)
          return a
  
      @docstring.dedent_interpd
      def add_subplot(self, *args, **kwargs):
          """
          Add a subplot.  Examples::
  
              fig.add_subplot(111)
  
              # equivalent but more general
              fig.add_subplot(1,1,1)
  
              # add subplot with red background
              fig.add_subplot(212, axisbg='r')
  
              # add a polar subplot
              fig.add_subplot(111, projection='polar')
  
              # add Subplot instance sub
              fig.add_subplot(sub)
  
          *kwargs* are legal :class:`~matplotlib.axes.Axes` kwargs plus
          *projection*, which chooses a projection type for the axes.
          (For backward compatibility, *polar=True* may also be
          provided, which is equivalent to *projection='polar'*). Valid
          values for *projection* are: %(projection_names)s.  Some of
          these projections
          support additional *kwargs*, which may be provided to
          :meth:`add_axes`.
  
          The :class:`~matplotlib.axes.Axes` instance will be returned.
  
          If the figure already has a subplot with key (*args*,
          *kwargs*) then it will simply make that subplot current and
          return it.
  
          .. seealso:: :meth:`~matplotlib.pyplot.subplot` for an
             explanation of the args.
  
          The following kwargs are supported:
  
          %(Axes)s
          """
          if not len(args):
              return
  
          if len(args) == 1 and isinstance(args[0], int):
              args = tuple([int(c) for c in str(args[0])])
              if len(args) != 3:
                  raise ValueError("Integer subplot specification must " +
                                   "be a three digit number.  " +
                                   "Not {n:d}".format(n=len(args)))
  
          if isinstance(args[0], SubplotBase):
  
              a = args[0]
              assert(a.get_figure() is self)
              # make a key for the subplot (which includes the axes object id
              # in the hash)
              key = self._make_key(*args, **kwargs)
          else:
              projection_class, kwargs, key = process_projection_requirements(
                  self, *args, **kwargs)
  
              # try to find the axes with this key in the stack
              ax = self._axstack.get(key)
  
              if ax is not None:
                  if isinstance(ax, projection_class):
                      # the axes already existed, so set it as active & return
                      self.sca(ax)
                      return ax
                  else:
                      # Undocumented convenience behavior:
                      # subplot(111); subplot(111, projection='polar')
                      # will replace the first with the second.
                      # Without this, add_subplot would be simpler and
                      # more similar to add_axes.
                      self._axstack.remove(ax)
  
              a = subplot_class_factory(projection_class)(self, *args, **kwargs)
  
          self._axstack.add(key, a)
          self.sca(a)
          return a
  
      def clf(self, keep_observers=False):
          """
          Clear the figure.
  
          Set *keep_observers* to True if, for example,
          a gui widget is tracking the axes in the figure.
          """
          self.suppressComposite = None
          self.callbacks = cbook.CallbackRegistry()
  
          for ax in tuple(self.axes):  # Iterate over the copy.
              ax.cla()
              self.delaxes(ax)         # removes ax from self._axstack
  
          toolbar = getattr(self.canvas, 'toolbar', None)
          if toolbar is not None:
              toolbar.update()
          self._axstack.clear()
          self.artists = []
          self.lines = []
          self.patches = []
          self.texts = []
          self.images = []
          self.legends = []
          if not keep_observers:
              self._axobservers = []
          self._suptitle = None
  
      def clear(self):
          """
          Clear the figure -- synonym for :meth:`clf`.
          """
          self.clf()
  
      @allow_rasterization
      def draw(self, renderer):
          """
          Render the figure using :class:`matplotlib.backend_bases.RendererBase`
          instance *renderer*.
          """
          # draw the figure bounding box, perhaps none for white figure
          if not self.get_visible():
              return
          renderer.open_group('figure')
  
          if self.get_tight_layout() and self.axes:
              try:
                  self.tight_layout(renderer, **self._tight_parameters)
              except ValueError:
                  pass
                  # ValueError can occur when resizing a window.
  
          if self.frameon:
              self.patch.draw(renderer)
  
          # a list of (zorder, func_to_call, list_of_args)
          dsu = []
  
          for a in self.patches:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          for a in self.lines:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          for a in self.artists:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          # override the renderer default if self.suppressComposite
          # is not None
          not_composite = renderer.option_image_nocomposite()
          if self.suppressComposite is not None:
              not_composite = self.suppressComposite
  
          if (len(self.images) <= 1 or not_composite or
                  not cbook.allequal([im.origin for im in self.images])):
              for a in self.images:
                  dsu.append((a.get_zorder(), a, a.draw, [renderer]))
          else:
              # make a composite image blending alpha
              # list of (_image.Image, ox, oy)
              mag = renderer.get_image_magnification()
              ims = [(im.make_image(mag), im.ox, im.oy, im.get_alpha())
                     for im in self.images]
  
              im = _image.from_images(self.bbox.height * mag,
                                      self.bbox.width * mag,
                                      ims)
  
              im.is_grayscale = False
              l, b, w, h = self.bbox.bounds
  
              def draw_composite():
                  gc = renderer.new_gc()
                  gc.set_clip_rectangle(self.bbox)
                  gc.set_clip_path(self.get_clip_path())
                  renderer.draw_image(gc, l, b, im)
                  gc.restore()
  
              dsu.append((self.images[0].get_zorder(), self.images[0],
                          draw_composite, []))
  
          # render the axes
          for a in self.axes:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          # render the figure text
          for a in self.texts:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          for a in self.legends:
              dsu.append((a.get_zorder(), a, a.draw, [renderer]))
  
          dsu = [row for row in dsu if not row[1].get_animated()]
          dsu.sort(key=itemgetter(0))
          for zorder, a, func, args in dsu:
              func(*args)
  
          renderer.close_group('figure')
  
          self._cachedRenderer = renderer
  
          self.canvas.draw_event(renderer)
  
      def draw_artist(self, a):
          """
          draw :class:`matplotlib.artist.Artist` instance *a* only --
          this is available only after the figure is drawn
          """
          assert self._cachedRenderer is not None
          a.draw(self._cachedRenderer)
  
      def get_axes(self):
          return self.axes
  
      def legend(self, handles, labels, *args, **kwargs):
          """
          Place a legend in the figure.  Labels are a sequence of
          strings, handles is a sequence of
          :class:`~matplotlib.lines.Line2D` or
          :class:`~matplotlib.patches.Patch` instances, and loc can be a
          string or an integer specifying the legend location
  
          USAGE::
  
            legend( (line1, line2, line3),
                    ('label1', 'label2', 'label3'),
                    'upper right')
  
          The *loc* location codes are::
  
            'best' : 0,          (currently not supported for figure legends)
            'upper right'  : 1,
            'upper left'   : 2,
            'lower left'   : 3,
            'lower right'  : 4,
            'right'        : 5,
            'center left'  : 6,
            'center right' : 7,
            'lower center' : 8,
            'upper center' : 9,
            'center'       : 10,
  
          *loc* can also be an (x,y) tuple in figure coords, which
          specifies the lower left of the legend box.  figure coords are
          (0,0) is the left, bottom of the figure and 1,1 is the right,
          top.
  
          Keyword arguments:
  
            *prop*: [ *None* | FontProperties | dict ]
              A :class:`matplotlib.font_manager.FontProperties`
              instance. If *prop* is a dictionary, a new instance will be
              created with *prop*. If *None*, use rc settings.
  
            *numpoints*: integer
              The number of points in the legend line, default is 4
  
            *scatterpoints*: integer
              The number of points in the legend line, default is 4
  
            *scatteryoffsets*: list of floats
              a list of yoffsets for scatter symbols in legend
  
            *markerscale*: [ *None* | scalar ]
              The relative size of legend markers vs. original. If *None*, use rc
              settings.
  
            *fancybox*: [ *None* | *False* | *True* ]
              if *True*, draw a frame with a round fancybox.  If *None*, use rc
  
            *shadow*: [ *None* | *False* | *True* ]
              If *True*, draw a shadow behind legend. If *None*, use rc settings.
  
            *ncol* : integer
              number of columns. default is 1
  
            *mode* : [ "expand" | *None* ]
              if mode is "expand", the legend will be horizontally expanded
              to fill the axes area (or *bbox_to_anchor*)
  
            *title* : string
              the legend title
  
          Padding and spacing between various elements use following keywords
          parameters. The dimensions of these values are given as a fraction
          of the fontsize. Values from rcParams will be used if None.
  
          ================   ====================================================
          Keyword            Description
          ================   ====================================================
          borderpad          the fractional whitespace inside the legend border
          labelspacing       the vertical space between the legend entries
          handlelength       the length of the legend handles
          handletextpad      the pad between the legend handle and text
          borderaxespad      the pad between the axes and legend border
          columnspacing      the spacing between columns
          ================   ====================================================
  
          .. Note:: Not all kinds of artist are supported by the legend.
                    See LINK (FIXME) for details.
  
          **Example:**
  
          .. plot:: mpl_examples/pylab_examples/figlegend_demo.py
          """
          l = Legend(self, handles, labels, *args, **kwargs)
          self.legends.append(l)
          l._remove_method = lambda h: self.legends.remove(h)
          return l
  
      @docstring.dedent_interpd
      def text(self, x, y, s, *args, **kwargs):
          """
          Add text to figure.
  
          Call signature::
  
            text(x, y, s, fontdict=None, **kwargs)
  
          Add text to figure at location *x*, *y* (relative 0-1
          coords). See :func:`~matplotlib.pyplot.text` for the meaning
          of the other arguments.
  
          kwargs control the :class:`~matplotlib.text.Text` properties:
  
          %(Text)s
          """
  
          override = _process_text_args({}, *args, **kwargs)
          t = Text(x=x, y=y, text=s)
  
          t.update(override)
          self._set_artist_props(t)
          self.texts.append(t)
          t._remove_method = lambda h: self.texts.remove(h)
          return t
  
      def _set_artist_props(self, a):
          if a != self:
              a.set_figure(self)
          a.set_transform(self.transFigure)
  
      @docstring.dedent_interpd
      def gca(self, **kwargs):
          """
          Get the current axes, creating one if necessary
  
          The following kwargs are supported for ensuring the returned axes
          adheres to the given projection etc., and for axes creation if
          the active axes does not exist:
  
          %(Axes)s
  
          """
          ckey, cax = self._axstack.current_key_axes()
          # if there exists an axes on the stack see if it maches
          # the desired axes configuration
          if cax is not None:
  
              # if no kwargs are given just return the current axes
              # this is a convenience for gca() on axes such as polar etc.
              if not kwargs:
                  return cax
  
              # if the user has specified particular projection detail
              # then build up a key which can represent this
              else:
                  # we don't want to modify the original kwargs
                  # so take a copy so that we can do what we like to it
                  kwargs_copy = kwargs.copy()
                  projection_class, _, key = process_projection_requirements(
                      self, **kwargs_copy)
  
                  # let the returned axes have any gridspec by removing it from
                  # the key
                  ckey = ckey[1:]
                  key = key[1:]
  
                  # if the cax matches this key then return the axes, otherwise
                  # continue and a new axes will be created
                  if key == ckey and isinstance(cax, projection_class):
                      return cax
  
          # no axes found, so create one which spans the figure
          return self.add_subplot(1, 1, 1, **kwargs)
  
      def sca(self, a):
          'Set the current axes to be a and return a'
          self._axstack.bubble(a)
          for func in self._axobservers:
              func(self)
          return a
  
      def _gci(self):
          """
          helper for :func:`~matplotlib.pyplot.gci`;
          do not use elsewhere.
          """
          # Look first for an image in the current Axes:
          cax = self._axstack.current_key_axes()[1]
          if cax is None:
              return None
          im = cax._gci()
          if im is not None:
              return im
  
          # If there is no image in the current Axes, search for
          # one in a previously created Axes.  Whether this makes
          # sense is debatable, but it is the documented behavior.
          for ax in reversed(self.axes):
              im = ax._gci()
              if im is not None:
                  return im
          return None
  
      def __getstate__(self):
          state = self.__dict__.copy()
          # the axobservers cannot currently be pickled.
          # Additionally, the canvas cannot currently be pickled, but this has
          # the benefit of meaning that a figure can be detached from one canvas,
          # and re-attached to another.
          for attr_to_pop in ('_axobservers', 'show',
                              'canvas', '_cachedRenderer'):
              state.pop(attr_to_pop, None)
  
          # add version information to the state
          state['__mpl_version__'] = _mpl_version
  
          # check to see if the figure has a manager and whether it is registered
          # with pyplot
          if getattr(self.canvas, 'manager', None) is not None:
              manager = self.canvas.manager
              import matplotlib._pylab_helpers
              if manager in list(six.itervalues(
                      matplotlib._pylab_helpers.Gcf.figs)):
                  state['_restore_to_pylab'] = True
  
          return state
  
      def __setstate__(self, state):
          version = state.pop('__mpl_version__')
          restore_to_pylab = state.pop('_restore_to_pylab', False)
  
          if version != _mpl_version:
              import warnings
              warnings.warn("This figure was saved with matplotlib version %s "
                            "and is unlikely to function correctly." %
                            (version, ))
  
          self.__dict__ = state
  
          # re-initialise some of the unstored state information
          self._axobservers = []
          self.canvas = None
  
          if restore_to_pylab:
              # lazy import to avoid circularity
              import matplotlib.pyplot as plt
              import matplotlib._pylab_helpers as pylab_helpers
              allnums = plt.get_fignums()
              num = max(allnums) + 1 if allnums else 1
              mgr = plt._backend_mod.new_figure_manager_given_figure(num, self)
  
              # XXX The following is a copy and paste from pyplot. Consider
              # factoring to pylab_helpers
  
              if self.get_label():
                  mgr.set_window_title(self.get_label())
  
              # make this figure current on button press event
              def make_active(event):
                  pylab_helpers.Gcf.set_active(mgr)
  
              mgr._cidgcf = mgr.canvas.mpl_connect('button_press_event',
                                                   make_active)
  
              pylab_helpers.Gcf.set_active(mgr)
              self.number = num
  
              plt.draw_if_interactive()
  
      def add_axobserver(self, func):
          'whenever the axes state change, ``func(self)`` will be called'
          self._axobservers.append(func)
  
      def savefig(self, *args, **kwargs):
          """
          Save the current figure.
  
          Call signature::
  
            savefig(fname, dpi=None, facecolor='w', edgecolor='w',
                    orientation='portrait', papertype=None, format=None,
                    transparent=False, bbox_inches=None, pad_inches=0.1,
                    frameon=None)
  
          The output formats available depend on the backend being used.
  
          Arguments:
  
            *fname*:
              A string containing a path to a filename, or a Python
              file-like object, or possibly some backend-dependent object
              such as :class:`~matplotlib.backends.backend_pdf.PdfPages`.
  
              If *format* is *None* and *fname* is a string, the output
              format is deduced from the extension of the filename. If
              the filename has no extension, the value of the rc parameter
              ``savefig.format`` is used.
  
              If *fname* is not a string, remember to specify *format* to
              ensure that the correct backend is used.
  
          Keyword arguments:
  
            *dpi*: [ *None* | ``scalar > 0`` ]
              The resolution in dots per inch.  If *None* it will default to
              the value ``savefig.dpi`` in the matplotlibrc file.
  
            *facecolor*, *edgecolor*:
              the colors of the figure rectangle
  
            *orientation*: [ 'landscape' | 'portrait' ]
              not supported on all backends; currently only on postscript output
  
            *papertype*:
              One of 'letter', 'legal', 'executive', 'ledger', 'a0' through
              'a10', 'b0' through 'b10'. Only supported for postscript
              output.
  
            *format*:
              One of the file extensions supported by the active
              backend.  Most backends support png, pdf, ps, eps and svg.
  
            *transparent*:
              If *True*, the axes patches will all be transparent; the
              figure patch will also be transparent unless facecolor
              and/or edgecolor are specified via kwargs.
              This is useful, for example, for displaying
              a plot on top of a colored background on a web page.  The
              transparency of these patches will be restored to their
              original values upon exit of this function.
  
            *frameon*:
              If *True*, the figure patch will be colored, if *False*, the
              figure background will be transparent.  If not provided, the
              rcParam 'savefig.frameon' will be used.
  
            *bbox_inches*:
              Bbox in inches. Only the given portion of the figure is
              saved. If 'tight', try to figure out the tight bbox of
              the figure.
  
            *pad_inches*:
              Amount of padding around the figure when bbox_inches is
              'tight'.
  
            *bbox_extra_artists*:
              A list of extra artists that will be considered when the
              tight bbox is calculated.
  
          """
  
          kwargs.setdefault('dpi', rcParams['savefig.dpi'])
          frameon = kwargs.pop('frameon', rcParams['savefig.frameon'])
          transparent = kwargs.pop('transparent',
                                   rcParams['savefig.transparent'])
  
          if transparent:
              kwargs.setdefault('facecolor', 'none')
              kwargs.setdefault('edgecolor', 'none')
              original_axes_colors = []
              for ax in self.axes:
                  patch = ax.patch
                  original_axes_colors.append((patch.get_facecolor(),
                                               patch.get_edgecolor()))
                  patch.set_facecolor('none')
                  patch.set_edgecolor('none')
          else:
              kwargs.setdefault('facecolor', rcParams['savefig.facecolor'])
              kwargs.setdefault('edgecolor', rcParams['savefig.edgecolor'])
  
          if frameon:
              original_frameon = self.get_frameon()
              self.set_frameon(frameon)
  
          self.canvas.print_figure(*args, **kwargs)
  
          if frameon:
              self.set_frameon(original_frameon)
  
          if transparent:
              for ax, cc in zip(self.axes, original_axes_colors):
                  ax.patch.set_facecolor(cc[0])
                  ax.patch.set_edgecolor(cc[1])
  
      @docstring.dedent_interpd
      def colorbar(self, mappable, cax=None, ax=None, use_gridspec=True, **kw):
          """
          Create a colorbar for a ScalarMappable instance, *mappable*.
  
          Documentation for the pylab thin wrapper:
          %(colorbar_doc)s
          """
          if ax is None:
              ax = self.gca()
  
          # Store the value of gca so that we can set it back later on.
          current_ax = self.gca()
  
          if cax is None:
              if use_gridspec and isinstance(ax, SubplotBase):
                  cax, kw = cbar.make_axes_gridspec(ax, **kw)
              else:
                  cax, kw = cbar.make_axes(ax, **kw)
          cax.hold(True)
          cb = cbar.colorbar_factory(cax, mappable, **kw)
  
          self.sca(current_ax)
          return cb
  
      def subplots_adjust(self, *args, **kwargs):
          """
          Call signature::
  
            subplots_adjust(left=None, bottom=None, right=None, top=None,
                                wspace=None, hspace=None)
  
          Update the :class:`SubplotParams` with *kwargs* (defaulting to rc when
          *None*) and update the subplot locations
  
          """
          self.subplotpars.update(*args, **kwargs)
          for ax in self.axes:
              if not isinstance(ax, SubplotBase):
                  # Check if sharing a subplots axis
                  if (ax._sharex is not None and
                      isinstance(ax._sharex, SubplotBase)):
                      ax._sharex.update_params()
                      ax.set_position(ax._sharex.figbox)
                  elif (ax._sharey is not None and
                        isinstance(ax._sharey, SubplotBase)):
                      ax._sharey.update_params()
                      ax.set_position(ax._sharey.figbox)
              else:
                  ax.update_params()
                  ax.set_position(ax.figbox)
  
      def ginput(self, n=1, timeout=30, show_clicks=True, mouse_add=1,
                 mouse_pop=3, mouse_stop=2):
          """
          Call signature::
  
            ginput(self, n=1, timeout=30, show_clicks=True,
                   mouse_add=1, mouse_pop=3, mouse_stop=2)
  
          Blocking call to interact with the figure.
  
          This will wait for *n* clicks from the user and return a list of the
          coordinates of each click.
  
          If *timeout* is zero or negative, does not timeout.
  
          If *n* is zero or negative, accumulate clicks until a middle click
          (or potentially both mouse buttons at once) terminates the input.
  
          Right clicking cancels last input.
  
          The buttons used for the various actions (adding points, removing
          points, terminating the inputs) can be overriden via the
          arguments *mouse_add*, *mouse_pop* and *mouse_stop*, that give
          the associated mouse button: 1 for left, 2 for middle, 3 for
          right.
  
          The keyboard can also be used to select points in case your mouse
          does not have one or more of the buttons.  The delete and backspace
          keys act like right clicking (i.e., remove last point), the enter key
          terminates input and any other key (not already used by the window
          manager) selects a point.
          """
  
          blocking_mouse_input = BlockingMouseInput(self,
                                                    mouse_add=mouse_add,
                                                    mouse_pop=mouse_pop,
                                                    mouse_stop=mouse_stop)
          return blocking_mouse_input(n=n, timeout=timeout,
                                      show_clicks=show_clicks)
  
      def waitforbuttonpress(self, timeout=-1):
          """
          Call signature::
  
            waitforbuttonpress(self, timeout=-1)
  
          Blocking call to interact with the figure.
  
          This will return True is a key was pressed, False if a mouse
          button was pressed and None if *timeout* was reached without
          either being pressed.
  
          If *timeout* is negative, does not timeout.
          """
  
          blocking_input = BlockingKeyMouseInput(self)
          return blocking_input(timeout=timeout)
  
      def get_default_bbox_extra_artists(self):
          bbox_artists = [artist for artist in self.get_children()
                          if artist.get_visible()]
          for ax in self.axes:
              if ax.get_visible():
                  bbox_artists.extend(ax.get_default_bbox_extra_artists())
          # we don't want the figure's patch to influence the bbox calculation
          bbox_artists.remove(self.patch)
          return bbox_artists
  
      def get_tightbbox(self, renderer):
          """
          Return a (tight) bounding box of the figure in inches.
  
          It only accounts axes title, axis labels, and axis
          ticklabels. Needs improvement.
          """
  
          bb = []
          for ax in self.axes:
              if ax.get_visible():
                  bb.append(ax.get_tightbbox(renderer))
  
          if len(bb) == 0:
              return self.bbox_inches
  
          _bbox = Bbox.union([b for b in bb if b.width != 0 or b.height != 0])
  
          bbox_inches = TransformedBbox(_bbox,
                                        Affine2D().scale(1. / self.dpi))
  
          return bbox_inches
  
      def tight_layout(self, renderer=None, pad=1.08, h_pad=None,
                       w_pad=None, rect=None):
          """
          Adjust subplot parameters to give specified padding.
  
          Parameters:
  
            *pad* : float
              padding between the figure edge and the edges of subplots,
              as a fraction of the font-size.
            *h_pad*, *w_pad* : float
              padding (height/width) between edges of adjacent subplots.
              Defaults to `pad_inches`.
            *rect* : if rect is given, it is interpreted as a rectangle
              (left, bottom, right, top) in the normalized figure
              coordinate that the whole subplots area (including
              labels) will fit into. Default is (0, 0, 1, 1).
          """
  
          from .tight_layout import (get_renderer, get_tight_layout_figure,
                                     get_subplotspec_list)
  
          subplotspec_list = get_subplotspec_list(self.axes)
          if None in subplotspec_list:
              warnings.warn("This figure includes Axes that are not "
                            "compatible with tight_layout, so its "
                            "results might be incorrect.")
  
          if renderer is None:
              renderer = get_renderer(self)
  
          kwargs = get_tight_layout_figure(self, self.axes, subplotspec_list,
                                           renderer,
                                           pad=pad, h_pad=h_pad, w_pad=w_pad,
                                           rect=rect)
  
          self.subplots_adjust(**kwargs)
  
  
  def figaspect(arg):
      """
      Create a figure with specified aspect ratio.  If *arg* is a number,
      use that aspect ratio.  If *arg* is an array, figaspect will
      determine the width and height for a figure that would fit array
      preserving aspect ratio.  The figure width, height in inches are
      returned.  Be sure to create an axes with equal with and height,
      e.g.,
  
      Example usage::
  
        # make a figure twice as tall as it is wide
        w, h = figaspect(2.)
        fig = Figure(figsize=(w,h))
        ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])
        ax.imshow(A, **kwargs)
  
  
        # make a figure with the proper aspect for an array
        A = rand(5,3)
        w, h = figaspect(A)
        fig = Figure(figsize=(w,h))
        ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])
        ax.imshow(A, **kwargs)
  
      Thanks to Fernando Perez for this function
      """
  
      isarray = hasattr(arg, 'shape')
  
      # min/max sizes to respect when autoscaling.  If John likes the idea, they
      # could become rc parameters, for now they're hardwired.
      figsize_min = np.array((4.0, 2.0))  # min length for width/height
      figsize_max = np.array((16.0, 16.0))  # max length for width/height
      #figsize_min = rcParams['figure.figsize_min']
      #figsize_max = rcParams['figure.figsize_max']
  
      # Extract the aspect ratio of the array
      if isarray:
          nr, nc = arg.shape[:2]
          arr_ratio = float(nr) / nc
      else:
          arr_ratio = float(arg)
  
      # Height of user figure defaults
      fig_height = rcParams['figure.figsize'][1]
  
      # New size for the figure, keeping the aspect ratio of the caller
      newsize = np.array((fig_height / arr_ratio, fig_height))
  
      # Sanity checks, don't drop either dimension below figsize_min
      newsize /= min(1.0, *(newsize / figsize_min))
  
      # Avoid humongous windows as well
      newsize /= max(1.0, *(newsize / figsize_max))
  
      # Finally, if we have a really funky aspect ratio, break it but respect
      # the min/max dimensions (we don't want figures 10 feet tall!)
      newsize = np.clip(newsize, figsize_min, figsize_max)
      return newsize
  
  docstring.interpd.update(Figure=martist.kwdoc(Figure))
  