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contour.py

00001 """
These are  classes to support contour plotting and
labelling for the axes class
"""
from __future__ import division
import warnings
import matplotlib as mpl
import numpy as np
from numpy import ma
import matplotlib._cntr as _cntr
import matplotlib.path as path
import matplotlib.ticker as ticker
import matplotlib.cm as cm
import matplotlib.colors as colors
import matplotlib.collections as collections
import matplotlib.font_manager as font_manager
import matplotlib.text as text
import matplotlib.cbook as cbook

# We can't use a single line collection for contour because a line
# collection can have only a single line style, and we want to be able to have
# dashed negative contours, for example, and solid positive contours.
# We could use a single polygon collection for filled contours, but it
# seems better to keep line and filled contours similar, with one collection
# per level.


00028 class ContourLabeler:
    '''Mixin to provide labelling capability to ContourSet'''

00031     def clabel(self, *args, **kwargs):
        """
        call signature::

          clabel(cs, **kwargs)

        adds labels to line contours in *cs*, where *cs* is a
        :class:`~matplotlib.contour.ContourSet` object returned by
        contour.

        ::

          clabel(cs, v, **kwargs)

        only labels contours listed in *v*.

        Optional keyword arguments:

          *fontsize*:
            See http://matplotlib.sf.net/fonts.html

        .. TODO: Update this link to new fonts document

          *colors*:
            - if *None*, the color of each label matches the color of
              the corresponding contour

            - if one string color, e.g. *colors* = 'r' or *colors* =
              'red', all labels will be plotted in this color

            - if a tuple of matplotlib color args (string, float, rgb, etc),
              different labels will be plotted in different colors in the order
              specified

          *inline*:
            controls whether the underlying contour is removed or
            not. Default is *True*.

          *fmt*:
            a format string for the label. Default is '%1.3f'

        """
        fontsize = kwargs.get('fontsize', None)
        inline = kwargs.get('inline', 1)
        self.fmt = kwargs.get('fmt', '%1.3f')
        _colors = kwargs.get('colors', None)



        if len(args) == 0:
            levels = self.levels
            indices = range(len(self.levels))
        elif len(args) == 1:
            levlabs = list(args[0])
            indices, levels = [], []
            for i, lev in enumerate(self.levels):
                if lev in levlabs:
                    indices.append(i)
                    levels.append(lev)
            if len(levels) < len(levlabs):
                msg = "Specified levels " + str(levlabs)
                msg += "\n don't match available levels "
                msg += str(self.levels)
                raise ValueError(msg)
        else:
            raise TypeError("Illegal arguments to clabel, see help(clabel)")
        self.label_levels = levels
        self.label_indices = indices

        self.fp = font_manager.FontProperties()
        if fontsize == None:
            font_size = int(self.fp.get_size_in_points())
        else:
            if type(fontsize) not in [int, float, str]:
                raise TypeError("Font size must be an integer number.")
                # Can't it be floating point, as indicated in line above?
            else:
                if type(fontsize) == str:
                    font_size = int(self.fp.get_size_in_points())
                else:
                    self.fp.set_size(fontsize)
                    font_size = fontsize
        self.fslist = [font_size] * len(levels)

        if _colors == None:
            self.label_mappable = self
            self.label_cvalues = np.take(self.cvalues, self.label_indices)
        else:
            cmap = colors.ListedColormap(_colors, N=len(self.label_levels))
            self.label_cvalues = range(len(self.label_levels))
            self.label_mappable = cm.ScalarMappable(cmap = cmap,
                                                 norm = colors.NoNorm())

        #self.cl = []   # Initialized in ContourSet.__init__
        #self.cl_cvalues = [] # same
        self.cl_xy = []

        self.labels(inline)

        for label in self.cl:
            self.ax.add_artist(label)

        self.label_list =  cbook.silent_list('text.Text', self.cl)
        return self.label_list


    def print_label(self, linecontour,labelwidth):
        "if contours are too short, don't plot a label"
        lcsize = len(linecontour)
        if lcsize > 10 * labelwidth:
            return 1

        xmax = np.amax(np.array(linecontour)[:,0])
        xmin = np.amin(np.array(linecontour)[:,0])
        ymax = np.amax(np.array(linecontour)[:,1])
        ymin = np.amin(np.array(linecontour)[:,1])

        lw = labelwidth
        if (xmax - xmin) > 1.2* lw or (ymax - ymin) > 1.2 * lw:
            return 1
        else:
            return 0

    def too_close(self, x,y, lw):
        "if there's a label already nearby, find a better place"
        if self.cl_xy != []:
            dist = [np.sqrt((x-loc[0]) ** 2 + (y-loc[1]) ** 2)
                    for loc in self.cl_xy]
            for d in dist:
                if d < 1.2*lw:
                    return 1
                else: return 0
        else: return 0

00165     def get_label_coords(self, distances, XX, YY, ysize, lw):
        """ labels are ploted at a location with the smallest
        dispersion of the contour from a straight line
        unless there's another label nearby, in which case
        the second best place on the contour is picked up
        if there's no good place a label isplotted at the
        beginning of the contour
        """

        hysize = int(ysize/2)
        adist = np.argsort(distances)

        for ind in adist:
            x, y = XX[ind][hysize], YY[ind][hysize]
            if self.too_close(x,y, lw):
                continue
            else:
                self.cl_xy.append((x,y))
                return x,y, ind

        ind = adist[0]
        x, y = XX[ind][hysize], YY[ind][hysize]
        self.cl_xy.append((x,y))
        return x,y, ind

    def get_label_width(self, lev, fmt, fsize):
        "get the width of the label in points"
        if cbook.is_string_like(lev):
            lw = (len(lev)) * fsize
        else:
            lw = (len(fmt%lev)) * fsize

        return lw


    def set_label_props(self, label, text, color):
        "set the label properties - color, fontsize, text"
        label.set_text(text)
        label.set_color(color)
        label.set_fontproperties(self.fp)
        label.set_clip_box(self.ax.bbox)

    def get_text(self, lev, fmt):
        "get the text of the label"
        if cbook.is_string_like(lev):
            return lev
        else:
            return fmt%lev


    def break_linecontour(self, linecontour, rot, labelwidth, ind):
        "break a contour in two contours at the location of the label"
        lcsize = len(linecontour)
        hlw = int(labelwidth/2)

        #length of label in screen coords
        ylabel = abs(hlw * np.sin(rot*np.pi/180))
        xlabel = abs(hlw * np.cos(rot*np.pi/180))

        trans = self.ax.transData

        slc = trans.transform(linecontour)
        x,y = slc[ind]
        xx= np.asarray(slc)[:,0].copy()
        yy=np.asarray(slc)[:,1].copy()

        #indices which are under the label
        inds, = np.nonzero(((xx < x+xlabel) & (xx > x-xlabel)) &
                            ((yy < y+ylabel) & (yy > y-ylabel)))

        if len(inds) >0:
            #if the label happens to be over the beginning of the
            #contour, the entire contour is removed, i.e.
            #indices to be removed are
            #inds= [0,1,2,3,305,306,307]
            #should rewrite this in a better way
            linds, = np.nonzero(inds[1:]- inds[:-1] != 1)
            if inds[0] == 0 and len(linds) != 0:
                ii = inds[linds[0]]
                lc1 =linecontour[ii+1:inds[ii+1]]
                lc2 = []

            else:
                lc1=linecontour[:inds[0]]
                lc2= linecontour[inds[-1]+1:]

        else:
            lc1=linecontour[:ind]
            lc2 = linecontour[ind+1:]


        if rot <0:
            new_x1, new_y1 = x-xlabel, y+ylabel
            new_x2, new_y2 = x+xlabel, y-ylabel
        else:
            new_x1, new_y1 = x-xlabel, y-ylabel
            new_x2, new_y2 = x+xlabel, y+ylabel

        inverse = trans.inverted()
        new_x1d, new_y1d = inverse.transform_point((new_x1, new_y1))
        new_x2d, new_y2d = inverse.transform_point((new_x2, new_y2))
        new_xy1 = np.array(((new_x1d, new_y1d),))
        new_xy2 = np.array(((new_x2d, new_y2d),))


        if rot > 0:
            if (len(lc1) > 0 and (lc1[-1][0] <= new_x1d)
                             and (lc1[-1][1] <= new_y1d)):
                lc1 = np.concatenate((lc1, new_xy1))
                #lc1.append((new_x1d, new_y1d))

            if (len(lc2) > 0 and (lc2[0][0] >= new_x2d)
                             and (lc2[0][1] >= new_y2d)):
                lc2 = np.concatenate((new_xy2, lc2))
                #lc2.insert(0, (new_x2d, new_y2d))
        else:
            if (len(lc1) > 0 and ((lc1[-1][0] <= new_x1d)
                             and (lc1[-1][1] >= new_y1d))):
                lc1 = np.concatenate((lc1, new_xy1))
                #lc1.append((new_x1d, new_y1d))

            if (len(lc2) > 0 and ((lc2[0][0] >= new_x2d)
                             and (lc2[0][1] <= new_y2d))):
                lc2 = np.concatenate((new_xy2, lc2))
                #lc2.insert(0, (new_x2d, new_y2d))

        return [lc1,lc2]


00294     def locate_label(self, linecontour, labelwidth):
        """find a good place to plot a label (relatively flat
        part of the contour) and the angle of rotation for the
        text object
        """

        nsize= len(linecontour)
        if labelwidth > 1:
            xsize = int(np.ceil(nsize/labelwidth))
        else:
            xsize = 1
        if xsize == 1:
            ysize = nsize
        else:
            ysize = labelwidth

        XX = np.resize(np.asarray(linecontour)[:,0],(xsize, ysize))
        YY = np.resize(np.asarray(linecontour)[:,1],(xsize, ysize))
        #I might have fouled up the following:
        yfirst = YY[:,0].reshape(xsize, 1)
        ylast = YY[:,-1].reshape(xsize, 1)
        xfirst = XX[:,0].reshape(xsize, 1)
        xlast = XX[:,-1].reshape(xsize, 1)
        s = (yfirst-YY) * (xlast-xfirst) - (xfirst-XX) * (ylast-yfirst)
        L = np.sqrt((xlast-xfirst)**2+(ylast-yfirst)**2).ravel()
        dist = np.add.reduce(([(abs(s)[i]/L[i]) for i in range(xsize)]),-1)
        x,y,ind = self.get_label_coords(dist, XX, YY, ysize, labelwidth)
        #print 'ind, x, y', ind, x, y
        angle = np.arctan2(ylast - yfirst, xlast - xfirst).ravel()
        rotation = angle[ind]*180/np.pi
        if rotation > 90:
            rotation = rotation -180
        if rotation < -90:
            rotation = 180 + rotation

        # There must be a more efficient way...
        lc = [tuple(l) for l in linecontour]
        dind = lc.index((x,y))
        #print 'dind', dind
        #dind = list(linecontour).index((x,y))

        return x,y, rotation, dind

    def labels(self, inline):
        levels = self.label_levels
        fslist = self.fslist
        trans = self.ax.transData
        _colors = self.label_mappable.to_rgba(self.label_cvalues,
                                                        alpha=self.alpha)
        fmt = self.fmt
        for icon, lev, color, cvalue, fsize in zip(self.label_indices,
                                          self.label_levels,
                                          _colors,
                                          self.label_cvalues, fslist):
            con = self.collections[icon]
            lw = self.get_label_width(lev, fmt, fsize)
            additions = []
            paths = con.get_paths()
            for segNum, linepath in enumerate(paths):
                linecontour = linepath.vertices
                # for closed contours add one more point to
                # avoid division by zero
                if np.all(linecontour[0] == linecontour[-1]):
                    linecontour = np.concatenate((linecontour,
                                                   linecontour[1][np.newaxis,:]))
                    #linecontour.append(linecontour[1])
                # transfer all data points to screen coordinates
                slc = trans.transform(linecontour)
                if self.print_label(slc,lw):
                    x,y, rotation, ind  = self.locate_label(slc, lw)
                    # transfer the location of the label back to
                    # data coordinates
                    dx,dy = trans.inverted().transform_point((x,y))
                    t = text.Text(dx, dy, rotation = rotation,
                             horizontalalignment='center',
                             verticalalignment='center')
                    _text = self.get_text(lev,fmt)
                    self.set_label_props(t, _text, color)
                    self.cl.append(t)
                    self.cl_cvalues.append(cvalue)
                    if inline:
                        new = self.break_linecontour(linecontour, rotation, lw, ind)
                        if len(new[0]):
                            paths[segNum] = path.Path(new[0])
                        if len(new[1]):
                            additions.append(path.Path(new[1]))
            paths.extend(additions)


00383 class ContourSet(cm.ScalarMappable, ContourLabeler):
    """
    Create and store a set of contour lines or filled regions.

    User-callable method: clabel

    Useful attributes:
      ax:
        the axes object in which the contours are drawn
      collections:
        a silent_list of LineCollections or PolyCollections
      levels:
        contour levels
      layers:
        same as levels for line contours; half-way between
        levels for filled contours.  See _process_colors method.
    """


00402     def __init__(self, ax, *args, **kwargs):
        """
        Draw contour lines or filled regions, depending on
        whether keyword arg 'filled' is False (default) or True.

        The first argument of the initializer must be an axes
        object.  The remaining arguments and keyword arguments
        are described in ContourSet.contour_doc.

        """
        self.ax = ax
        self.levels = kwargs.get('levels', None)
        self.filled = kwargs.get('filled', False)
        self.linewidths = kwargs.get('linewidths', None)
        self.linestyles = kwargs.get('linestyles', 'solid')

        self.alpha = kwargs.get('alpha', 1.0)
        self.origin = kwargs.get('origin', None)
        self.extent = kwargs.get('extent', None)
        cmap = kwargs.get('cmap', None)
        self.colors = kwargs.get('colors', None)
        norm = kwargs.get('norm', None)
        self.extend = kwargs.get('extend', 'neither')
        self.antialiased = kwargs.get('antialiased', True)
        self.nchunk = kwargs.get('nchunk', 0)
        self.locator = kwargs.get('locator', None)
        if (isinstance(norm, colors.LogNorm)
                or isinstance(self.locator, ticker.LogLocator)):
            self.logscale = True
            if norm is None:
                norm = colors.LogNorm()
            if self.extend is not 'neither':
                raise ValueError('extend kwarg does not work yet with log scale')
        else:
            self.logscale = False

        if self.origin is not None: assert(self.origin in
                                            ['lower', 'upper', 'image'])
        if self.extent is not None: assert(len(self.extent) == 4)
        if cmap is not None: assert(isinstance(cmap, colors.Colormap))
        if self.colors is not None and cmap is not None:
            raise ValueError('Either colors or cmap must be None')
        if self.origin == 'image': self.origin = mpl.rcParams['image.origin']
        x, y, z = self._contour_args(*args)        # also sets self.levels,
                                                   #  self.layers
        if self.colors is not None:
            cmap = colors.ListedColormap(self.colors, N=len(self.layers))
        if self.filled:
            self.collections = cbook.silent_list('collections.PolyCollection')
        else:
            self.collections = cbook.silent_list('collections.LineCollection')
        # label lists must be initialized here
        self.cl = []
        self.cl_cvalues = []

        kw = {'cmap': cmap}
        if norm is not None:
            kw['norm'] = norm
        cm.ScalarMappable.__init__(self, **kw) # sets self.cmap;
        self._process_colors()
        _mask = ma.getmask(z)
        if _mask is ma.nomask:
            _mask = None

        if self.filled:
            if self.linewidths is not None:
                warnings.warn('linewidths is ignored by contourf')
            C = _cntr.Cntr(x, y, z.filled(), _mask)
            lowers = self._levels[:-1]
            uppers = self._levels[1:]
            for level, level_upper in zip(lowers, uppers):
                nlist = C.trace(level, level_upper, points = 0,
                        nchunk = self.nchunk)
                col = collections.PolyCollection(nlist,
                                     antialiaseds = (self.antialiased,),
                                     edgecolors= 'none',
                                     alpha=self.alpha)
                self.ax.add_collection(col)
                self.collections.append(col)

        else:
            tlinewidths = self._process_linewidths()
            self.tlinewidths = tlinewidths
            tlinestyles = self._process_linestyles()
            C = _cntr.Cntr(x, y, z.filled(), _mask)
            for level, width, lstyle in zip(self.levels, tlinewidths, tlinestyles):
                nlist = C.trace(level, points = 0)
                col = collections.LineCollection(nlist,
                                     linewidths = width,
                                     linestyle = lstyle,
                                     alpha=self.alpha)

                if level < 0.0 and self.monochrome:
                    ls = mpl.rcParams['contour.negative_linestyle']
                    col.set_linestyle(ls)
                col.set_label('_nolegend_')
                self.ax.add_collection(col, False)
                self.collections.append(col)
        self.changed() # set the colors
        x0 = ma.minimum(x)
        x1 = ma.maximum(x)
        y0 = ma.minimum(y)
        y1 = ma.maximum(y)
        self.ax.update_datalim([(x0,y0), (x1,y1)])
        self.ax.set_xlim((x0, x1))
        self.ax.set_ylim((y0, y1))

00509     def changed(self):
        tcolors = [ (tuple(rgba),) for rgba in
                                self.to_rgba(self.cvalues, alpha=self.alpha)]
        self.tcolors = tcolors
        for color, collection in zip(tcolors, self.collections):
            collection.set_alpha(self.alpha)
            collection.set_color(color)
        for label, cv in zip(self.cl, self.cl_cvalues):
            label.set_alpha(self.alpha)
            label.set_color(self.label_mappable.to_rgba(cv))
        # add label colors
        cm.ScalarMappable.changed(self)


00523     def _autolev(self, z, N):
        '''
        Select contour levels to span the data.

        We need two more levels for filled contours than for
        line contours, because for the latter we need to specify
        the lower and upper boundary of each range. For example,
        a single contour boundary, say at z = 0, requires only
        one contour line, but two filled regions, and therefore
        three levels to provide boundaries for both regions.
        '''
        if self.locator is None:
            if self.logscale:
                self.locator = ticker.LogLocator()
            else:
                self.locator = ticker.MaxNLocator(N+1)
        self.locator.create_dummy_axis()
        zmax = self.zmax
        zmin = self.zmin
        self.locator.set_bounds(zmin, zmax)
        lev = self.locator()
        zmargin = (zmax - zmin) * 0.000001 # so z < (zmax + zmargin)
        if zmax >= lev[-1]:
            lev[-1] += zmargin
        if zmin <= lev[0]:
            if self.logscale:
                lev[0] = 0.99 * zmin
            else:
                lev[0] -= zmargin
        self._auto = True
        if self.filled:
            return lev
        return lev[1:-1]

00557     def _initialize_x_y(self, z):
        '''
        Return X, Y arrays such that contour(Z) will match imshow(Z)
        if origin is not None.
        The center of pixel Z[i,j] depends on origin:
        if origin is None, x = j, y = i;
        if origin is 'lower', x = j + 0.5, y = i + 0.5;
        if origin is 'upper', x = j + 0.5, y = Nrows - i - 0.5
        If extent is not None, x and y will be scaled to match,
        as in imshow.
        If origin is None and extent is not None, then extent
        will give the minimum and maximum values of x and y.
        '''
        if z.ndim != 2:
            raise TypeError("Input must be a 2D array.")
        else:
            Ny, Nx = z.shape
        if self.origin is None:  # Not for image-matching.
            if self.extent is None:
                return np.meshgrid(np.arange(Nx), np.arange(Ny))
            else:
                x0,x1,y0,y1 = self.extent
                x = np.linspace(x0, x1, Nx)
                y = np.linspace(y0, y1, Ny)
                return np.meshgrid(x, y)
        # Match image behavior:
        if self.extent is None:
            x0,x1,y0,y1 = (0, Nx, 0, Ny)
        else:
            x0,x1,y0,y1 = self.extent
        dx = float(x1 - x0)/Nx
        dy = float(y1 - y0)/Ny
        x = x0 + (np.arange(Nx) + 0.5) * dx
        y = y0 + (np.arange(Ny) + 0.5) * dy
        if self.origin == 'upper':
            y = y[::-1]
        return np.meshgrid(x,y)

00595     def _check_xyz(self, args):
        '''
        For functions like contour, check that the dimensions
        of the input arrays match; if x and y are 1D, convert
        them to 2D using meshgrid.

        Possible change: I think we should make and use an ArgumentError
        Exception class (here and elsewhere).
        '''
        x = np.asarray(args[0], dtype=np.float64)
        y = np.asarray(args[1], dtype=np.float64)
        z = ma.asarray(args[2], dtype=np.float64)
        if z.ndim != 2:
            raise TypeError("Input z must be a 2D array.")
        else: Ny, Nx = z.shape
        if x.shape == z.shape and y.shape == z.shape:
            return x,y,z
        if x.ndim != 1 or y.ndim != 1:
            raise TypeError("Inputs x and y must be 1D or 2D.")
        nx, = x.shape
        ny, = y.shape
        if nx != Nx or ny != Ny:
            raise TypeError("Length of x must be number of columns in z,\n" +
                            "and length of y must be number of rows.")
        x,y = np.meshgrid(x,y)
        return x,y,z



    def _contour_args(self, *args):
        if self.filled: fn = 'contourf'
        else:           fn = 'contour'
        Nargs = len(args)
        if Nargs <= 2:
            z = ma.asarray(args[0], dtype=np.float64)
            x, y = self._initialize_x_y(z)
        elif Nargs <=4:
            x,y,z = self._check_xyz(args[:3])
        else:
            raise TypeError("Too many arguments to %s; see help(%s)" % (fn,fn))
        self.zmax = ma.maximum(z)
        self.zmin = ma.minimum(z)
        if self.logscale and self.zmin <= 0:
            z = ma.masked_where(z <= 0, z)
            warnings.warn('Log scale: values of z <=0 have been masked')
            self.zmin = z.min()
        self._auto = False
        if self.levels is None:
            if Nargs == 1 or Nargs == 3:
                lev = self._autolev(z, 7)
            else:   # 2 or 4 args
                level_arg = args[-1]
                try:
                    if type(level_arg) == int:
                        lev = self._autolev(z, level_arg)
                    else:
                        lev = np.asarray(level_arg).astype(np.float64)
                except:
                    raise TypeError(
                        "Last %s arg must give levels; see help(%s)" % (fn,fn))
            if self.filled and len(lev) < 2:
                raise ValueError("Filled contours require at least 2 levels.")
            # Workaround for cntr.c bug wrt masked interior regions:
            #if filled:
            #    z = ma.masked_array(z.filled(-1e38))
            # It's not clear this is any better than the original bug.
            self.levels = lev
        #if self._auto and self.extend in ('both', 'min', 'max'):
        #    raise TypeError("Auto level selection is inconsistent "
        #                             + "with use of 'extend' kwarg")
        self._levels = list(self.levels)
        if self.extend in ('both', 'min'):
            self._levels.insert(0, min(self.levels[0],self.zmin) - 1)
        if self.extend in ('both', 'max'):
            self._levels.append(max(self.levels[-1],self.zmax) + 1)
        self._levels = np.asarray(self._levels)
        self.vmin = np.amin(self.levels)  # alternative would be self.layers
        self.vmax = np.amax(self.levels)
        if self.extend in ('both', 'min'):
            self.vmin = 2 * self.levels[0] - self.levels[1]
        if self.extend in ('both', 'max'):
            self.vmax = 2 * self.levels[-1] - self.levels[-2]
        self.layers = self._levels # contour: a line is a thin layer
        if self.filled:
            self.layers = 0.5 * (self._levels[:-1] + self._levels[1:])
            if self.extend in ('both', 'min'):
                self.layers[0] = 0.5 * (self.vmin + self._levels[1])
            if self.extend in ('both', 'max'):
                self.layers[-1] = 0.5 * (self.vmax + self._levels[-2])

        return (x, y, z)

00687     def _process_colors(self):
        """
        Color argument processing for contouring.

        Note that we base the color mapping on the contour levels,
        not on the actual range of the Z values.  This means we
        don't have to worry about bad values in Z, and we always have
        the full dynamic range available for the selected levels.

        The color is based on the midpoint of the layer, except for
        an extended end layers.
        """
        self.monochrome = self.cmap.monochrome
        if self.colors is not None:
            i0, i1 = 0, len(self.layers)
            if self.extend in ('both', 'min'):
                i0 = -1
            if self.extend in ('both', 'max'):
                i1 = i1 + 1
            self.cvalues = range(i0, i1)
            self.set_norm(colors.NoNorm())
        else:
            self.cvalues = self.layers
        if not self.norm.scaled():
            self.set_clim(self.vmin, self.vmax)
        if self.extend in ('both', 'max', 'min'):
            self.norm.clip = False
        self.set_array(self.layers)
        # self.tcolors are set by the "changed" method

    def _process_linewidths(self):
        linewidths = self.linewidths
        Nlev = len(self.levels)
        if linewidths is None:
            tlinewidths = [(mpl.rcParams['lines.linewidth'],)] *Nlev
        else:
            if cbook.iterable(linewidths) and len(linewidths) < Nlev:
                linewidths = list(linewidths) * int(np.ceil(Nlev/len(linewidths)))
            elif not cbook.iterable(linewidths) and type(linewidths) in [int, float]:
                linewidths = [linewidths] * Nlev
            tlinewidths = [(w,) for w in linewidths]
        return tlinewidths

    def _process_linestyles(self):
        linestyles = self.linestyles
        Nlev = len(self.levels)
        if linestyles is None:
            tlinestyles = ['solid'] * Nlev
        else:
            if cbook.is_string_like(linestyles):
                tlinestyles = [linestyles] * Nlev
            elif cbook.iterable(linestyles) and len(linestyles) <= Nlev:
                tlinestyles = list(linestyles) * int(np.ceil(Nlev/len(linestyles)))
        return tlinestyles

00742     def get_alpha(self):
        '''returns alpha to be applied to all ContourSet artists'''
        return self.alpha

00746     def set_alpha(self, alpha):
        '''sets alpha for all ContourSet artists'''
        self.alpha = alpha
        self.changed()

    contour_doc = """
        :func:`~matplotlib.pyplot.contour` and
        :func:`~matplotlib.pyplot.contourf` draw contour lines and
        filled contours, respectively.  Except as noted, function
        signatures and return values are the same for both versions.

        :func:`~matplotlib.pyplot.contourf` differs from the Matlab
        (TM) version in that it does not draw the polygon edges,
        because the contouring engine yields simply connected regions
        with branch cuts.  To draw the edges, add line contours with
        calls to :func:`~matplotlib.pyplot.contour`.


        call signatures::

          contour(Z)

        make a contour plot of an array *Z*. The level values are chosen
        automatically.

        ::

          contour(X,Y,Z)

        *X*, *Y* specify the (*x*, *y*) coordinates of the surface

        ::

          contour(Z,N)
          contour(X,Y,Z,N)

        contour *N* automatically-chosen levels.

        ::

          contour(Z,V)
          contour(X,Y,Z,V)

        draw contour lines at the values specified in sequence *V*

        ::

          contourf(..., V)

        fill the (len(*V*)-1) regions between the values in *V*

        ::

          contour(Z, **kwargs)

        Use keyword args to control colors, linewidth, origin, cmap ... see
        below for more details.

        *X*, *Y*, and *Z* must be arrays with the same dimensions.

        *Z* may be a masked array, but filled contouring may not
        handle internal masked regions correctly.

        ``C = contour(...)`` returns a
        :class:`~matplotlib.contour.ContourSet` object.

        Optional keyword arguments:

          *colors*: [ None | string | (mpl_colors) ]
            If *None*, the colormap specified by cmap will be used.

            If a string, like 'r' or 'red', all levels will be plotted in this
            color.

            If a tuple of matplotlib color args (string, float, rgb, etc),
            different levels will be plotted in different colors in the order
            specified.

          *alpha*: float
            The alpha blending value

          *cmap*: [ None | Colormap ]
            A cm :class:`~matplotlib.cm.Colormap` instance or
            *None*. If *cmap* is *None* and *colors* is *None*, a
            default Colormap is used.

          *norm*: [ None | Normalize ]
            A :class:`matplotlib.colors.Normalize` instance for
            scaling data values to colors. If *norm* is *None* and
            *colors* is *None*, the default linear scaling is used.

          *origin*: [ None | 'upper' | 'lower' | 'image' ]
            If *None*, the first value of *Z* will correspond to the
            lower left corner, location (0,0). If 'image', the rc
            value for ``image.origin`` will be used.

            This keyword is not active if *X* and *Y* are specified in
            the call to contour.

          *extent*: [ None | (x0,x1,y0,y1) ]

            If *origin* is not *None*, then *extent* is interpreted as
            in :func:`matplotlib.pyplot.imshow`: it gives the outer
            pixel boundaries. In this case, the position of Z[0,0]
            is the center of the pixel, not a corner. If *origin* is
            *None*, then (*x0*, *y0*) is the position of Z[0,0], and
            (*x1*, *y1*) is the position of Z[-1,-1].

            This keyword is not active if *X* and *Y* are specified in
            the call to contour.

          *locator*: [ None | ticker.Locator subclass ]
            If *locator* is None, the default
            :class:`~matplotlib.ticker.MaxNLocator` is used. The
            locator is used to determine the contour levels if they
            are not given explicitly via the *V* argument.

          *extend*: [ 'neither' | 'both' | 'min' | 'max' ]
            Unless this is 'neither', contour levels are automatically
            added to one or both ends of the range so that all data
            are included. These added ranges are then mapped to the
            special colormap values which default to the ends of the
            colormap range, but can be set via
            :meth:`matplotlib.cm.Colormap.set_under` and
            :meth:`matplotlib.cm.Colormap.set_over` methods.

        contour-only keyword arguments:

          *linewidths*: [ None | number | tuple of numbers ]
            If *linewidths* is *None*, the default width in
            ``lines.linewidth`` in ``matplotlibrc`` is used

            If a number, all levels will be plotted with this linewidth.

            If a tuple, different levels will be plotted with different
            linewidths in the order specified

        contourf-only keyword arguments:

          *antialiased*: [ True | False ]
            enable antialiasing

          *nchunk*: [ 0 | integer ]
            If 0, no subdivision of the domain. Specify a positive integer to
            divide the domain into subdomains of roughly *nchunk* by *nchunk*
            points. This may never actually be advantageous, so this option may
            be removed. Chunking introduces artifacts at the chunk boundaries
            unless *antialiased* is *False*.

        """

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