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00001 '''
Colorbar toolkit with two classes and a function:

    ColorbarBase is the base class with full colorbar drawing functionality.
        It can be used as-is to make a colorbar for a given colormap;
        a mappable object (e.g., image) is not needed.

    Colorbar is the derived class for use with images or contour plots.

    make_axes is a function for resizing an axes and adding a second axes
        suitable for a colorbar

The Figure.colorbar() method uses make_axes and Colorbar; the pylab.colorbar()
function is a thin wrapper over Figure.colorbar().


import matplotlib.numerix as nx
from matplotlib.mlab import meshgrid, linspace
from matplotlib.numerix.mlab import amin, amax
from matplotlib import colors, cm, ticker
from matplotlib.cbook import iterable, is_string_like
from matplotlib.transforms import Interval, Value, PBox
from matplotlib.lines import Line2D
from matplotlib.patches import Polygon
from matplotlib import rcParams
from matplotlib.collections import LineCollection
from matplotlib.contour import ContourSet
from matplotlib.axes import Axes

make_axes_kw_doc = '''
        fraction    = 0.15; fraction of original axes to use for colorbar
        pad         = 0.05 if vertical, 0.15 if horizontal; fraction
                              of original axes between colorbar and
                              new image axes
        shrink      = 1.0; fraction by which to shrink the colorbar
        aspect      = 20; ratio of long to short dimensions


colormap_kw_doc = '''
        extend='neither', 'both', 'min', 'max'
                If not 'neither', make pointed end(s) for out-of-range
                values.  These are set for a given colormap using the
                colormap set_under and set_over methods.
        spacing='uniform', 'proportional'
                Uniform spacing gives each discrete color the same space;
                proportional makes the space proportional to the data interval.
        ticks=None, list of ticks, Locator object
                If None, ticks are determined automatically from the input.
        format=None, format string, Formatter object
                If none, the ScalarFormatter is used.
                If a format string is given, e.g. '%.3f', that is used.
                An alternative Formatter object may be given instead.
        drawedges=False, True
                If true, draw lines at color boundaries.

        The following will probably be useful only in the context of
        indexed colors (that is, when the mappable has norm=NoNorm()),
        or other unusual circumstances.

        boundaries=None or a sequence
        values=None or a sequence which must be of length 1 less than the
                sequence of boundaries.
                For each region delimited by adjacent entries in
                boundaries, the color mapped to the corresponding
                value in values will be used.


colorbar_doc = '''
Add a colorbar to a plot.

Function signatures:


    colorbar(mappable, **kwargs)

    colorbar(mappable, cax, **kwargs)

The optional arguments mappable and cax may be included in the kwargs;
they are image, ContourSet, etc. to which the colorbar applies, and
the axes object in which the colorbar will be drawn.  Defaults are
the current image and a new axes object created next to that image
after resizing the image.

kwargs are in two groups:
    axes properties:
    colorbar properties:

If mappable is a ContourSet, its extend kwarg is included automatically.

Note that the shrink kwarg provides a simple way to keep
a vertical colorbar, for example, from being taller than
the axes of the mappable to which the colorbar is attached;
but it is a manual method requiring some trial and error.
If the colorbar is too tall (or a horizontal colorbar is
too wide) use a smaller value of shrink.

For more precise control, you can manually specify the
positions of the axes objects in which the mappable and
the colorbar are drawn.  In this case, do not use any of the
axes properties kwargs.
''' % (make_axes_kw_doc, colormap_kw_doc)

00111 class ColorbarBase(cm.ScalarMappable):
    _slice_dict = {'neither': slice(0,1000000),
                   'both': slice(1,-1),
                   'min': slice(1,1000000),
                   'max': slice(0,-1)}

    def __init__(self, ax, cmap=None,
                           spacing='uniform',  # uniform or proportional
00130                            filled=True,
        self.ax = ax
        if cmap is None: cmap = cm.get_cmap()
        if norm is None: norm = colors.Normalize()
        self.alpha = alpha
        cm.ScalarMappable.__init__(self, cmap=cmap, norm=norm)
        self.values = values
        self.boundaries = boundaries
        self.extend = extend
        self._inside = self._slice_dict[extend]
        self.spacing = spacing
        self.orientation = orientation
        self.drawedges = drawedges
        self.filled = filled
        self.solids = None
        self.lines = None
        if iterable(ticks):
            self.locator = ticker.FixedLocator(ticks, nbins=len(ticks))
            self.locator = ticks    # Handle default in _ticker()
        if format is None:
            if isinstance(self.norm, colors.LogNorm):
                self.formatter = ticker.LogFormatter()
                self.formatter = ticker.ScalarFormatter()
        elif is_string_like(format):
            self.formatter = ticker.FormatStrFormatter(format)
            self.formatter = format  # Assume it is a Formatter
        # The rest is in a method so we can recalculate when clim changes.

00163     def draw_all(self):
        Calculate any free parameters based on the current cmap and norm,
        and do all the drawing.
        X, Y = self._mesh()
        C = self._values[:,nx.NewAxis]
        self._config_axes(X, Y)
        if self.filled:
            self._add_solids(X, Y, C)

00176     def _config_axes(self, X, Y):
        Make an axes patch and outline.
        ax = self.ax
        x, y = self._outline(X, Y)
        ax.set_xlim(amin(x), amax(x))
        ax.set_ylim(amin(y), amax(y))
        ax.update_datalim_numerix(x, y)
        self.outline = Line2D(x, y, color=rcParams['axes.edgecolor'],
        c = rcParams['axes.facecolor']
        self.patch = Polygon(zip(x,y), edgecolor=c,
        ticks, ticklabels, offset_string = self._ticker()
        if self.orientation == 'vertical':


    def set_label(self, label, **kw):
        if self.orientation == 'vertical':
            self.ax.set_ylabel(label, **kw)
            self.ax.set_xlabel(label, **kw)

00218     def _outline(self, X, Y):
        Return x, y arrays of colorbar bounding polygon,
        taking orientation into account.
        N = nx.shape(X)[0]
        ii = [0, 1, N-2, N-1, 2*N-1, 2*N-2, N+1, N, 0]
        x = nx.take(nx.ravel(nx.transpose(X)), ii)
        y = nx.take(nx.ravel(nx.transpose(Y)), ii)
        if self.orientation == 'horizontal':
            return y,x
        return x,y

00231     def _edges(self, X, Y):
        Return the separator line segments; helper for _add_solids.
        N = nx.shape(X)[0]
        # Using the non-array form of these line segments is much
        # simpler than making them into arrays.
        if self.orientation == 'vertical':
            return [zip(X[i], Y[i]) for i in range(1, N-1)]
            return [zip(Y[i], X[i]) for i in range(1, N-1)]

00243     def _add_solids(self, X, Y, C):
        Draw the colors using pcolor; optionally add separators.
        ## Change to pcolormesh if/when it is fixed to handle alpha
        ## correctly.
        if self.orientation == 'vertical':
            args = (X, Y, C)
            args = (nx.transpose(Y), nx.transpose(X), nx.transpose(C))
        kw = {'cmap':self.cmap, 'norm':self.norm,
                    'shading':'flat', 'alpha':self.alpha}
        col = self.ax.pcolor(*args, **kw)
        #self.add_observer(col) # We should observe, not be observed...
        self.solids = col
        if self.drawedges:
            self.dividers = LineCollection(self._edges(X,Y),

00265     def add_lines(self, levels, colors, linewidths):
        Draw lines on the colorbar.
        N = len(levels)
        dummy, y = self._locate(levels)
        if len(y) <> N:
            raise ValueError("levels are outside colorbar range")
        x = nx.array([0.0, 1.0])
        X, Y = meshgrid(x,y)
        if self.orientation == 'vertical':
            xy = [zip(X[i], Y[i]) for i in range(N)]
            xy = [zip(Y[i], X[i]) for i in range(N)]
        col = LineCollection(xy, linewidths=linewidths)
        self.lines = col

00285     def _ticker(self):
        Return two sequences: ticks (colorbar data locations)
        and ticklabels (strings).
        locator = self.locator
        formatter = self.formatter
        if locator is None:
            if self.boundaries is None:
                if isinstance(self.norm, colors.NoNorm):
                    nv = len(self._values)
                    base = 1 + int(nv/10)
                    locator = ticker.IndexLocator(base=base, offset=0)
                elif isinstance(self.norm, colors.LogNorm):
                    locator = ticker.LogLocator()
                    locator = ticker.MaxNLocator()
                b = self._boundaries[self._inside]
                locator = ticker.FixedLocator(b, nbins=10)
        if isinstance(self.norm, colors.NoNorm):
            intv = Interval(Value(self._values[0]), Value(self._values[-1]))
            intv = Interval(Value(self.vmin), Value(self.vmax))
        b = nx.array(locator())
        b, ticks = self._locate(b)
        ticklabels = [formatter(t) for t in b]
        offset_string = formatter.get_offset()
        return ticks, ticklabels, offset_string

00320     def _process_values(self, b=None):
        Set the _boundaries and _values attributes based on
        the input boundaries and values.  Input boundaries can
        be self.boundaries or the argument b.
        if b is None:
            b = self.boundaries
        if b is not None:
            self._boundaries = nx.array(b)
            if self.values is None:
                self._values = 0.5*(self._boundaries[:-1]
                                        + self._boundaries[1:])
                if isinstance(self.norm, colors.NoNorm):
                    self._values = (self._values + 0.00001).astype(nx.Int16)
            self._values = nx.array(self.values)
        if self.values is not None:
            self._values = nx.array(self.values)
            if self.boundaries is None:
                b = nx.zeros(len(self.values)+1, 'd')
                b[1:-1] = 0.5*(self._values[:-1] - self._values[1:])
                b[0] = 2.0*b[1] - b[2]
                b[-1] = 2.0*b[-2] - b[-3]
                self._boundaries = b
            self._boundaries = nx.array(self.boundaries)
        if isinstance(self.norm, colors.NoNorm):
            b = nx.arange(self.norm.vmin, self.norm.vmax + 2) - 0.5
            b = self.norm.inverse(self._uniform_y(self.cmap.N+1))

00355     def _find_range(self):
        Set vmin and vmax attributes to the first and last
        boundary excluding extended end boundaries.
        b = self._boundaries[self._inside]
        self.vmin = b[0]
        self.vmax = b[-1]

00364     def _central_N(self):
        '''number of boundaries *before* extension of ends'''
        nb = len(self._boundaries)
        if self.extend == 'both':
            nb -= 2
        elif self.extend in ('min', 'max'):
            nb -= 1
        return nb

00373     def _extended_N(self):
        Based on the colormap and extend variable, return the
        number of boundaries.
        N = self.cmap.N + 1
        if self.extend == 'both':
            N += 2
        elif self.extend in ('min', 'max'):
            N += 1
        return N

00385     def _uniform_y(self, N):
        Return colorbar data coordinates for N uniformly
        spaced boundaries, plus ends if required.
        if self.extend == 'neither':
            y = linspace(0, 1, N)
            if self.extend == 'both':
                y = nx.zeros(N + 2, 'd')
                y[0] = -0.05
                y[-1] = 1.05
            elif self.extend == 'min':
                y = nx.zeros(N + 1, 'd')
                y[0] = -0.05
                y = nx.zeros(N + 1, 'd')
                y[-1] = 1.05
            y[self._inside] = linspace(0, 1, N)
        return y

00406     def _proportional_y(self):
        Return colorbar data coordinates for the boundaries of
        a proportional colorbar.
        y = self.norm(self._boundaries.copy())
        if self.extend in ('both', 'min'):
            y[0] = -0.05
        if self.extend in ('both', 'max'):
            y[-1] = 1.05
        yi = y[self._inside]
        norm = colors.Normalize(yi[0], yi[-1])
        y[self._inside] = norm(yi)
        return y

00421     def _mesh(self):
        Return X,Y, the coordinate arrays for the colorbar pcolormesh.
        These are suitable for a vertical colorbar; swapping and
        transposition for a horizontal colorbar are done outside
        this function.
        x = nx.array([0.0, 1.0])
        if self.spacing == 'uniform':
            y = self._uniform_y(self._central_N())
            y = self._proportional_y()
        self._y = y
        X, Y = meshgrid(x,y)
        if self.extend in ('min', 'both'):
            X[0,:] = 0.5
        if self.extend in ('max', 'both'):
            X[-1,:] = 0.5
        return X, Y

00441     def _locate(self, x):
        Given a possible set of color data values, return the ones
        within range, together with their corresponding colorbar
        data coordinates.
        if isinstance(self.norm, colors.NoNorm):
            b = self._boundaries
            xn = x
            xout = x
            # Do calculations using normalized coordinates so
            # as to make the interpolation more accurate.
            b = self.norm(self._boundaries, clip=False).filled()
            # We do our own clipping so that we can allow a tiny
            # bit of slop in the end point ticks to allow for
            # floating point errors.
            xn = self.norm(x, clip=False).filled()
            in_cond = (xn > -0.001) & (xn < 1.001)
            xn = nx.compress(in_cond, xn)
            xout = nx.compress(in_cond, x)
        # The rest is linear interpolation with clipping.
        y = self._y
        N = len(b)
        ii = nx.minimum(nx.searchsorted(b, xn), N-1)
        i0 = nx.maximum(ii - 1, 0)
        #db = b[ii] - b[i0]  (does not work with Numeric)
        db = nx.take(b, ii) - nx.take(b, i0)
        db = nx.where(i0==ii, 1.0, db)
        #dy = y[ii] - y[i0]
        dy = nx.take(y, ii) - nx.take(y, i0)
        z = nx.take(y, i0) + (xn-nx.take(b,i0))*dy/db
        return xout, z

    def set_alpha(self, alpha):
        self.alpha = alpha

class Colorbar(ColorbarBase):
    def __init__(self, ax, mappable, **kw):
        mappable.autoscale_None() # Ensure mappable.norm.vmin, vmax
                             # are set when colorbar is called,
                             # even if mappable.draw has not yet
                             # been called.  This will not change
                             # vmin, vmax if they are already set.
        self.mappable = mappable
        kw['cmap'] = mappable.cmap
        kw['norm'] = mappable.norm
        kw['alpha'] = mappable.get_alpha()
        if isinstance(mappable, ContourSet):
            CS = mappable
            kw['boundaries'] = CS._levels
            kw['values'] = CS.cvalues
            kw['extend'] = CS.extend
            #kw['ticks'] = CS._levels
            kw.setdefault('ticks', ticker.FixedLocator(CS.levels, nbins=10))
            kw['filled'] = CS.filled
            ColorbarBase.__init__(self, ax, **kw)
            if not CS.filled:
            ColorbarBase.__init__(self, ax, **kw)

    def add_lines(self, CS):
        Add the lines from a non-filled ContourSet to the colorbar.
        if not isinstance(CS, ContourSet) or CS.filled:
            raise ValueError('add_lines is only for a ContourSet of lines')
        tcolors = [c[0] for c in CS.tcolors]
        tlinewidths = [t[0] for t in CS.tlinewidths]
        # The following was an attempt to get the colorbar lines
        # to follow subsequent changes in the contour lines,
        # but more work is needed: specifically, a careful
        # look at event sequences, and at how
        # to make one object track another automatically.
        #tcolors = [col.get_colors()[0] for col in CS.collections]
        #tlinewidths = [col.get_linewidth()[0] for lw in CS.collections]
        #print 'tlinewidths:', tlinewidths
        ColorbarBase.add_lines(self, CS.levels, tcolors, tlinewidths)

    def notify(self, mappable):
        '''Manually change any contour line colors.  This is called
        when the image or contour plot to which this colorbar belongs
        is changed.
        cm.ScalarMappable.notify(self, mappable)
        #if self.vmin != self.norm.vmin or self.vmax != self.norm.vmax:
        #    self.ax.cla()
        #    self.draw_all()
        if isinstance(self.mappable, ContourSet):
            CS = self.mappable
            if not CS.filled:
            #if self.lines is not None:
            #    tcolors = [c[0] for c in CS.tcolors]
            #    self.lines.set_color(tcolors)
        #Fixme? Recalculate boundaries, ticks if vmin, vmax have changed.
        #Fixme: Some refactoring may be needed; we should not
        # be recalculating everything if there was a simple alpha
        # change.

def make_axes(parent, **kw):
    orientation = kw.setdefault('orientation', 'vertical')
    fraction = kw.pop('fraction', 0.15)
    shrink = kw.pop('shrink', 1.0)
    aspect = kw.pop('aspect', 20)
    #pb = PBox(parent.get_position())
    pb = PBox(parent.get_position(original=True))
    if orientation == 'vertical':
        pad = kw.pop('pad', 0.05)
        x1 = 1.0-fraction
        pb1, pbx, pbcb = pb.splitx(x1-pad, x1)
        pbcb.shrink(1.0, shrink).anchor('C')
        anchor = (0.0, 0.5)
        panchor = (1.0, 0.5)
        pad = kw.pop('pad', 0.15)
        pbcb, pbx, pb1 = pb.splity(fraction, fraction+pad)
        pbcb.shrink(shrink, 1.0).anchor('C')
        aspect = 1.0/aspect
        anchor = (0.5, 1.0)
        panchor = (0.5, 0.0)
    fig = parent.get_figure()
    cax = fig.add_axes(pbcb)
    cax.set_aspect(aspect, anchor=anchor, adjustable='box')
    return cax, kw
make_axes.__doc__ ='''
    Resize and reposition a parent axes, and return a child
    axes suitable for a colorbar.

    cax, kw = make_axes(parent, **kw)

    Keyword arguments may include the following (with defaults):
        orientation = 'vertical'  or 'horizontal'

    All but the first of these are stripped from the input kw set.

    Returns (cax, kw), the child axes and the reduced kw dictionary.
    '''  % make_axes_kw_doc

The following does not work correctly.  The problem seems to be that
the transforms work right only when fig.add_axes(rect) is used to
generate the axes, not when the axes object is generated first and
then fig.add_axes(ax) is called.  I don't understand this. - EF

class ColorbarAxes(Axes):
    def __init__(self, parent, **kw):
        orientation = kw.setdefault('orientation', 'vertical')
        fraction = kw.pop('fraction', 0.15)
        shrink = kw.pop('shrink', 1.0)
        aspect = kw.pop('aspect', 20)
        self.cbkw = kw
        pb = PBox(parent.get_position())
        if orientation == 'vertical':
            pb1, pbcb = pb.splitx(1.0-fraction)
            pbcb.shrink(1.0, shrink).anchor('C')
            anchor = (0.3, 0.5)
            panchor = (0.8, 0.5)
            pbcb, pb1 = pb.splity(fraction)
            pbcb.shrink(shrink, 1.0).anchor('C')
            aspect = 1.0/aspect
            anchor = (0.5, 0.2)
            panchor = (0.5, 0.8)
        fig = parent.get_figure()
        Axes.__init__(self, fig, pbcb)
        self.set_aspect(aspect, anchor=anchor, adjustable='box')


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