"""
Figure class -- add docstring here!
"""
import sys
from artist import Artist
from axes import Axes, Subplot, PolarSubplot, PolarAxes
from cbook import flatten, allequal, popd, Stack, iterable
import _image
from colors import normalize, rgb2hex
from image import FigureImage
from matplotlib import rcParams
from patches import Rectangle, Polygon
from text import Text, _process_text_args

from legend import Legend
from transforms import Bbox, Value, Point, get_bbox_transform, unit_bbox
from numerix import array, clip, transpose, minimum, maximum
from mlab import linspace, meshgrid
from ticker import FormatStrFormatter
from cm import ScalarMappable
from contour import ContourSet

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 : the left side of the subplots of the figure
        right : the right side of the subplots of the figure
        bottom : the bottom of the subplots of the figure
        top : the top of the subplots of the figure
        wspace : the amount of width reserved for blank space between subplots
        hspace : the amount of height reserved for white space between subplots

        validate : make sure the params are in a legal state
        (left<right, etc)
        """
        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):

    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 = 1.0,   # the default linewidth of the frame
                 frameon = True,    # whether or not to draw the figure frame
                 subplotpars = None, # default to rc
                 ):
        """
        paper size is a w,h tuple in inches
        DPI is dots per inch
        subplotpars is a SubplotParams instance, defaults to rc
        """
        Artist.__init__(self)
        #self.set_figure(self)
        self._axstack = Stack()  # maintain the current axes
        self._axobservers = []
        self._seen = {}          # axes args we've seen

        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']

        self.dpi = Value(dpi)
        self.figwidth = Value(figsize[0])
        self.figheight = Value(figsize[1])
        self.ll = Point( Value(0), Value(0) )
        self.ur = Point( self.figwidth*self.dpi,
                         self.figheight*self.dpi )
        self.bbox = Bbox(self.ll, self.ur)
        self.frameon = frameon

        self.transFigure = get_bbox_transform( unit_bbox(), self.bbox)



        self.figurePatch = Rectangle(
            xy=(0,0), width=1, height=1,
            facecolor=facecolor, edgecolor=edgecolor,
            linewidth=linewidth,
            )
        self._set_artist_props(self.figurePatch)

        self._hold = rcParams['axes.hold']
        self.canvas = None

        if subplotpars is None:
            subplotpars = SubplotParams()

        self.subplotpars = subplotpars

        self.clf()

        self._cachedRenderer = None

    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.

        Eg
        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=1.0,
                 norm=None,
                 cmap=None,
                 vmin=None,
                 vmax=None,
                 origin=None):
        """
        FIGIMAGE(X) # add non-resampled array to figure

        FIGIMAGE(X, xo, yo) # with pixel offsets

        FIGIMAGE(X, **kwargs) # control interpolation ,scaling, etc

        Add a nonresampled figure to the figure from array X.  xo and yo are
        offsets in pixels

        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

        The following kwargs are allowed:

          * cmap is a cm colormap instance, eg cm.jet.  If None, default to
            the rc image.cmap valuex

          * norm is a matplotlib.colors.normalize instance; default is
            normalization().  This scales luminance -> 0-1

          * vmin and 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 = 1.0 : the alpha blending value

          * origin is either 'upper' or 'lower', which 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

        This complements the axes image (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 Axes with size [0,1,0,1].

        A image.FigureImage instance is returned.
        """

        if not self._hold: self.clf()

        im = FigureImage(self, cmap, norm, xo, yo, origin)
        im.set_array(X)
        im.set_alpha(alpha)
        if norm is None:
            im.set_clim(vmin, vmax)
        self.images.append(im)
        return im


    def set_figsize_inches(self, *args, **kwargs):
        """
        Set the figure size in inches

        Usage: set_figsize_inches(self, w,h)  OR
               set_figsize_inches(self, (w,h) )

        optional kwarg forward=True will cause the canvas size to be
        automatically updated; eg you can resize the figure window
        from the shell

        ACCEPTS: a w,h tuple with w,h in inches
        """

        forward = kwargs.get('forward', False)
        if len(args)==1:
            w,h = args[0]
        else:
            w,h = args
        self.figwidth.set(w)
        self.figheight.set(h)

        if forward:
            dpival = self.dpi.get()
            canvasw = w*dpival
            canvash = h*dpival
            self.canvas.resize(int(canvasw), int(canvash))

    def get_size_inches(self):
        return self.figwidth.get(), self.figheight.get()

    def get_edgecolor(self):
        'Get the edge color of the Figure rectangle'
        return self.figurePatch.get_edgecolor()

    def get_facecolor(self):
        'Get the face color of the Figure rectangle'
        return self.figurePatch.get_facecolor()

    def get_figwidth(self):
        'Return the figwidth as a float'
        return self.figwidth.get()

    def get_figheight(self):
        'Return the figheight as a float'
        return self.figheight.get()

    def get_dpi(self):
        'Return the dpi as a float'
        return self.dpi.get()

    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.figurePatch.set_edgecolor(color)

    def set_facecolor(self, color):
        """
        Set the face color of the Figure rectangle

        ACCEPTS: any matplotlib color - see help(colors)
        """
        self.figurePatch.set_facecolor(color)

    def set_dpi(self, val):
        """
        Set the dots-per-inch of the figure

        ACCEPTS: float
        """
        self.dpi.set(val)

    def set_figwidth(self, val):
        """
        Set the width of the figure in inches

        ACCEPTS: float
        """
        self.figwidth.set(val)

    def set_figheight(self, val):
        """
        Set the height of the figure in inches

        ACCEPTS: float
        """
        self.figheight.set(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.axes.remove(a)
        self._axstack.remove(a)
        keys = []
        for key, thisax in self._seen.items():
            if a==thisax: del self._seen[key]
        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 kyey
            ret = []
            for k, v in items:
                if iterable(v): v = tuple(v)
                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(kwargs.items())
        return key

    def add_axes(self, *args, **kwargs):
        """
        Add an a axes with axes rect [left, bottom, width, height] where all
        quantities are in fractions of figure width and height.  kwargs are
        legal Axes kwargs plus"polar" which sets whether to create a polar axes

            add_axes((l,b,w,h))
            add_axes((l,b,w,h), frameon=False, axisbg='g')
            add_axes((l,b,w,h), polar=True)
            add_axes(ax)   # add an Axes instance


        If the figure already has an axes with key *args, *kwargs then it will
        simply make that axes current and return it.  If you do not want this
        behavior, eg you want to force the creation of a new axes, you must
        use a unique set of args and kwargs.  The artist "label" attribute has
        been exposed for this purpose.  Eg, if you want two axes that are
        otherwise identical to be added to the axes, make sure you give them
        unique labels:

            add_axes((l,b,w,h), label='1')
            add_axes((l,b,w,h), label='2')

        The Axes instance will be returned
        """

        key = self._make_key(*args, **kwargs)

        if self._seen.has_key(key):
            ax = self._seen[key]
            self.sca(ax)
            return ax

        if not len(args): return
        if isinstance(args[0], Axes):
            a = args[0]
            a.set_figure(self)
        else:
            rect = args[0]
            ispolar = popd(kwargs, 'polar', False)

            if ispolar:
                a = PolarAxes(self, rect, **kwargs)
            else:
                a = Axes(self, rect, **kwargs)


        self.axes.append(a)
        self._axstack.push(a)
        self.sca(a)
        self._seen[key] = a
        return a

    def add_subplot(self, *args, **kwargs):
        """
        Add a subplot.  Examples

            add_subplot(111)
            add_subplot(212, axisbg='r')  # add subplot with red background
            add_subplot(111, polar=True)  # add a polar subplot
            add_subplot(sub)              # add Subplot instance sub

        kwargs are legal Axes kwargs plus"polar" which sets whether to create a
        polar axes.  The 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
        """

        key = self._make_key(*args, **kwargs)

        if self._seen.has_key(key):
            ax = self._seen[key]
            self.sca(ax)
            return ax


        if not len(args): return

        if isinstance(args[0], Subplot) or isinstance(args, PolarSubplot):
            a = args[0]
            a.set_figure(self)
        else:
            ispolar = popd(kwargs, 'polar', False)
            if ispolar:
                a = PolarSubplot(self, *args, **kwargs)
            else:
                a = Subplot(self, *args, **kwargs)


        self.axes.append(a)
        self._axstack.push(a)
        self.sca(a)
        self._seen[key] = a
        return a

    def clf(self):
        """
        Clear the figure
        """
        self.axes = []
        self._axstack.clear()
        self._seen = {}
        self.lines = []
        self.patches = []
        self.texts=[]
        self.images = []
        self.legends = []

    def clear(self):
        """
        Clear the figure
        """
        self.clf()

    def draw(self, renderer):
        """
        Render the figure using RendererGD instance renderer
        """
        # draw the figure bounding box, perhaps none for white figure
        #print 'figure draw'
        if not self.get_visible(): return
        renderer.open_group('figure')
        self.transFigure.freeze()  # eval the lazy objects

        if self.frameon: self.figurePatch.draw(renderer)

        for p in self.patches: p.draw(renderer)
        for l in self.lines: l.draw(renderer)

        if len(self.images)==1:
            im = self.images[0]
            im.draw(renderer)
        elif len(self.images)>1:
            # make a composite image blending alpha
            # list of (_image.Image, ox, oy)
            if not allequal([im.origin for im in self.images]):
                raise ValueError('Composite images with different origins not supported')
            ims = [(im.make_image(), im.ox, im.oy) for im in self.images]
            im = _image.from_images(self.bbox.height(), self.bbox.width(), ims)
            im.is_grayscale = False
            l, b, w, h = self.bbox.get_bounds()
            renderer.draw_image(0, 0, im, self.bbox)


        # render the axes
        for a in self.axes: a.draw(renderer)

        # render the figure text
        for t in self.texts: t.draw(renderer)

        for legend in self.legends:
            legend.draw(renderer)

        self.transFigure.thaw()  # release the lazy objects
        renderer.close_group('figure')

        self._cachedRenderer = renderer

        self.canvas.draw_event(renderer)

    def draw_artist(self, a):
        'draw artist 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, loc, **kwargs):
        """
        Place a legend in the figure.  Labels are a sequence of
        strings, handles is a sequence of line or 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, defaults to upper right)
          'upper right'  : 1,  (default)
          '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.

        The legend instance is returned
        """


        handles = flatten(handles)
        l = Legend(self, handles, labels, loc, isaxes=False, **kwargs)
        self._set_artist_props(l)
        self.legends.append(l)
        return l

    def text(self, x, y, s, *args, **kwargs):
        """
        Add text to figure at location x,y (relative 0-1 coords) See
        the help for Axis text for the meaning of the other arguments
        """

        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)
        return t

    def _set_artist_props(self, a):
        if a!= self:
            a.set_figure(self)
        a.set_transform(self.transFigure)

    def gca(self, **kwargs):
        """
        Return the current axes, creating one if necessary
        """
        ax = self._axstack()
        if ax is not None: return ax
        return self.add_subplot(111, **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 add_axobserver(self, func):
        'whenever the axes state change, func(self) will be called'
        self._axobservers.append(func)


    def savefig(self, *args, **kwargs):
        """
        SAVEFIG(fname, dpi=150, facecolor='w', edgecolor='w',
        orientation='portrait'):

        Save the current figure to filename fname.  dpi is the resolution
        in dots per inch.

        Output file types currently supported are jpeg and png and will be
        deduced by the extension to fname

        facecolor and edgecolor are the colors os the figure rectangle

        orientation is either 'landscape' or 'portrait' - not supported on
        all backends; currently only on postscript output.
        """

        for key in ('dpi', 'facecolor', 'edgecolor'):
            if not kwargs.has_key(key):
                kwargs[key] = rcParams['savefig.%s'%key]

        self.canvas.print_figure(*args, **kwargs)

    def colorbar(self, mappable,  cax=None,
                    orientation='vertical', tickfmt='%1.1f',
                    cspacing='proportional',
                    clabels=None, drawedges=False, edgewidth=0.5,
                    edgecolor='k'):
        """
        Create a colorbar for mappable image

        mappable is the cm.ScalarMappable instance that you want to
        colorbar to apply to, eg an Image as returned by imshow or a
        PatchCollection as returned by scatter or pcolor.

        tickfmt is a format string to format the colorbar ticks

        cax is a colorbar axes instance in which the colorbar will be
        placed.  If None, as default axesd will be created resizing the
        current aqxes to make room for it.  If not None, the supplied axes
        will be used and the other axes positions will be unchanged.

        orientation is the colorbar orientation: one of 'vertical' | 'horizontal'

        cspacing controls how colors are distributed on the colorbar.
        if cspacing == 'linear', each color occupies an equal area
        on the colorbar, regardless of the contour spacing.
        if cspacing == 'proportional' (Default), the area each color
        occupies on the the colorbar is proportional to the contour interval.
        Only relevant for a Contour image.

        clabels can be a sequence containing the
        contour levels to be labelled on the colorbar, or None (Default).
        If clabels is None, labels for all contour intervals are
        displayed. Only relevant for a Contour image.

        if drawedges == True, lines are drawn at the edges between
        each color on the colorbar. Default False.

        edgecolor is the line color delimiting the edges of the colors
        on the colorbar (if drawedges == True). Default black ('k')

        edgewidth is the width of the lines delimiting the edges of
        the colors on the colorbar (if drawedges == True). Default 0.5

        return value is the colorbar axes instance
        """

        if orientation not in ('horizontal', 'vertical'):
            raise ValueError('Orientation must be horizontal or vertical')

        if isinstance(mappable, FigureImage) and cax is None:
            raise TypeError('Colorbars for figure images currently not supported unless you provide a colorbar axes in cax')


        ax = self.gca()

        cmap = mappable.cmap

        if cax is None:
            l,b,w,h = ax.get_position()
            if orientation=='vertical':
                neww = 0.8*w
                ax.set_position((l,b,neww,h))
                cax = self.add_axes([l + 0.9*w, b, 0.1*w, h])
            else:
                newh = 0.8*h
                ax.set_position((l,b+0.2*h,w,newh))
                cax = self.add_axes([l, b, w, 0.1*h])

        else:
            if not isinstance(cax, Axes):
                raise TypeError('Expected an Axes instance for cax')

        norm = mappable.norm
        if norm.vmin is None or norm.vmax is None:
            mappable.autoscale()
        cmin = norm.vmin
        cmax = norm.vmax
        if isinstance(mappable, ContourSet):
        # mappable image is from contour or contourf
            clevs = mappable.levels
            clevs = minimum(clevs, cmax)
            clevs = maximum(clevs, cmin)
            isContourSet = True
        elif isinstance(mappable, ScalarMappable):
        # from imshow or pcolor.
            isContourSet = False
            clevs = linspace(cmin, cmax, cmap.N+1) # boundaries, hence N+1
        else:
            raise TypeError("don't know how to handle type %s"%type(mappable))

        N = len(clevs)
        C = array([clevs, clevs])
        if cspacing == 'linear':
            X, Y = meshgrid(clevs, [0, 1])
        elif cspacing == 'proportional':
            X, Y = meshgrid(linspace(cmin, cmax, N), [0, 1])
        else:
            raise ValueError("cspacing must be 'linear' or 'proportional'")

        if orientation=='vertical':
            args = (transpose(Y), transpose(C), transpose(X), clevs)
        else:
            args = (C, Y, X, clevs)
        kw = {'cmap':cmap}
        if isContourSet and not mappable.filled:
            CS = cax.contour(*args, **kw)
            colls = mappable.collections
            for ii in range(len(colls)):
                CS.collections[ii].set_linewidth(colls[ii].get_linewidth())
        else:
            kw['antialiased'] = False
            CS = cax.contourf(*args, **kw)
        if drawedges:
            for col in CS.collections:
                col.set_edgecolor(edgecolor)
                col.set_linewidth(edgewidth)

        mappable.add_observer(CS)
        mappable.set_colorbar(CS, cax)


        if isContourSet:
            if cspacing == 'linear':
                ticks = linspace(cmin, cmax, N)
            else:
                ticks = clevs
            if cmin == mappable.levels[0]:
                ticklevs = clevs
            else: # We are not showing the full ends of the range.
                ticks = ticks[1:-1]
                ticklevs = clevs[1:-1]
            labs = [tickfmt % lev for lev in ticklevs]
            if clabels is not None:
                for i, lev in enumerate(ticklevs):
                    if lev not in clabels:
                        labs[i] = ''


        if orientation=='vertical':
            cax.set_xticks([])
            cax.yaxis.tick_right()
            cax.yaxis.set_label_position('right')
            if isContourSet:
                cax.set_yticks(ticks)
                cax.set_yticklabels(labs)
            else:
                cax.yaxis.set_major_formatter(FormatStrFormatter(tickfmt))
        else:
            cax.set_yticks([])
            if isContourSet:
                cax.set_xticks(ticks)
                cax.set_xticklabels(labs)
            else:
                cax.xaxis.set_major_formatter(FormatStrFormatter(tickfmt))

        self.sca(ax)
        return cax


    def subplots_adjust(self, *args, **kwargs):
        """
        fig.subplots_adjust(left=None, bottom=None, right=None, wspace=None, hspace=None):
        Update the SubplotParams with kwargs (defaulting to rc where
        None) and update the subplot locations
        """
        self.subplotpars.update(*args, **kwargs)
        import matplotlib.axes
        for ax in self.axes:
            if not isinstance(ax, matplotlib.axes.Subplot): continue
            ax.update_params()
            ax.set_position([ax.figLeft, ax.figBottom, ax.figW, ax.figH])



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 aspcect ratio.  The figure width, height in inches are
    returned.  Be sure to create an axes with equal with and height,
    eg

    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 = array((4.0,2.0)) # min length for width/height
    figsize_max = 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 = 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 = clip(newsize,figsize_min,figsize_max)
    return newsize

