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""" Classes for the efficient drawing of large collections of objects that share most properties, e.g. a large number of line segments or polygons. The classes are not meant to be as flexible as their single element counterparts (e.g. you may not be able to select all line styles) but they are meant to be fast for common use cases (e.g. a large set of solid line segemnts) """ import warnings import numpy as np import numpy.ma as ma import matplotlib as mpl import matplotlib.cbook as cbook import matplotlib.colors as mcolors import matplotlib.cm as cm from matplotlib import docstring import matplotlib.transforms as transforms import matplotlib.artist as artist from matplotlib.artist import allow_rasterization import matplotlib.backend_bases as backend_bases import matplotlib.path as mpath import matplotlib.mlab as mlab class Collection(artist.Artist, cm.ScalarMappable): """ Base class for Collections. Must be subclassed to be usable. All properties in a collection must be sequences or scalars; if scalars, they will be converted to sequences. The property of the ith element of the collection is:: prop[i % len(props)] Keyword arguments and default values: * *edgecolors*: None * *facecolors*: None * *linewidths*: None * *antialiaseds*: None * *offsets*: None * *transOffset*: transforms.IdentityTransform() * *norm*: None (optional for :class:`matplotlib.cm.ScalarMappable`) * *cmap*: None (optional for :class:`matplotlib.cm.ScalarMappable`) *offsets* and *transOffset* are used to translate the patch after rendering (default no offsets). If any of *edgecolors*, *facecolors*, *linewidths*, *antialiaseds* are None, they default to their :data:`matplotlib.rcParams` patch setting, in sequence form. The use of :class:`~matplotlib.cm.ScalarMappable` is optional. If the :class:`~matplotlib.cm.ScalarMappable` matrix _A is not None (ie a call to set_array has been made), at draw time a call to scalar mappable will be made to set the face colors. """ _offsets = np.array([], np.float_) _transOffset = transforms.IdentityTransform() _transforms = [] zorder = 1 def __init__(self, edgecolors=None, facecolors=None, linewidths=None, linestyles='solid', antialiaseds = None, offsets = None, transOffset = None, norm = None, # optional for ScalarMappable cmap = None, # ditto pickradius = 5.0, urls = None, **kwargs ): """ Create a Collection %(Collection)s """ artist.Artist.__init__(self) cm.ScalarMappable.__init__(self, norm, cmap) self.set_edgecolor(edgecolors) self.set_facecolor(facecolors) self.set_linewidth(linewidths) self.set_linestyle(linestyles) self.set_antialiased(antialiaseds) self.set_urls(urls) self._uniform_offsets = None self._offsets = np.array([], np.float_) if offsets is not None: offsets = np.asarray(offsets) if len(offsets.shape) == 1: offsets = offsets[np.newaxis,:] # Make it Nx2. if transOffset is not None: self._offsets = offsets self._transOffset = transOffset else: self._uniform_offsets = offsets self._pickradius = pickradius self.update(kwargs) self._paths = None @staticmethod def _get_value(val): try: return (float(val), ) except TypeError: if cbook.iterable(val) and len(val): try: float(val[0]) except (TypeError, ValueError): pass # raise below else: return val raise TypeError('val must be a float or nonzero sequence of floats') @staticmethod def _get_bool(val): if not cbook.iterable(val): val = (val,) try: bool(val[0]) except (TypeError, IndexError): raise TypeError('val must be a bool or nonzero sequence of them') return val def get_paths(self): return self._paths def set_paths(self): raise NotImplementedError def get_transforms(self): return self._transforms def get_datalim(self, transData): transform = self.get_transform() transOffset = self._transOffset offsets = self._offsets paths = self.get_paths() if not transform.is_affine: paths = [transform.transform_path_non_affine(p) for p in paths] transform = transform.get_affine() if not transOffset.is_affine: offsets = transOffset.transform_non_affine(offsets) transOffset = transOffset.get_affine() offsets = np.asarray(offsets, np.float_) result = mpath.get_path_collection_extents( transform.frozen(), paths, self.get_transforms(), offsets, transOffset.frozen()) result = result.inverse_transformed(transData) return result def get_window_extent(self, renderer): bbox = self.get_datalim(transforms.IdentityTransform()) #TODO:check to ensure that this does not fail for #cases other than scatter plot legend return bbox def _prepare_points(self): """Point prep for drawing and hit testing""" transform = self.get_transform() transOffset = self._transOffset offsets = self._offsets paths = self.get_paths() if self.have_units(): paths = [] for path in self.get_paths(): vertices = path.vertices xs, ys = vertices[:, 0], vertices[:, 1] xs = self.convert_xunits(xs) ys = self.convert_yunits(ys) paths.append(mpath.Path(zip(xs, ys), path.codes)) if len(self._offsets): xs = self.convert_xunits(self._offsets[:,0]) ys = self.convert_yunits(self._offsets[:,1]) offsets = zip(xs, ys) offsets = np.asarray(offsets, np.float_) if not transform.is_affine: paths = [transform.transform_path_non_affine(path) for path in paths] transform = transform.get_affine() if not transOffset.is_affine: offsets = transOffset.transform_non_affine(offsets) transOffset = transOffset.get_affine() return transform, transOffset, offsets, paths @allow_rasterization def draw(self, renderer): if not self.get_visible(): return renderer.open_group(self.__class__.__name__) self.update_scalarmappable() transform, transOffset, offsets, paths = self._prepare_points() gc = renderer.new_gc() self._set_gc_clip(gc) gc.set_snap(self.get_snap()) renderer.draw_path_collection( gc, transform.frozen(), paths, self.get_transforms(), offsets, transOffset, self.get_facecolor(), self.get_edgecolor(), self._linewidths, self._linestyles, self._antialiaseds, self._urls) gc.restore() renderer.close_group(self.__class__.__name__) def contains(self, mouseevent): """ Test whether the mouse event occurred in the collection. Returns True | False, ``dict(ind=itemlist)``, where every item in itemlist contains the event. """ if callable(self._contains): return self._contains(self,mouseevent) if not self.get_visible(): return False,{} transform, transOffset, offsets, paths = self._prepare_points() ind = mpath.point_in_path_collection( mouseevent.x, mouseevent.y, self._pickradius, transform.frozen(), paths, self.get_transforms(), offsets, transOffset, len(self._facecolors)>0) return len(ind)>0,dict(ind=ind) def set_pickradius(self,pickradius): self.pickradius = 5 def get_pickradius(self): return self.pickradius def set_urls(self, urls): if urls is None: self._urls = [None,] else: self._urls = urls def get_urls(self): return self._urls def set_offsets(self, offsets): """ Set the offsets for the collection. *offsets* can be a scalar or a sequence. ACCEPTS: float or sequence of floats """ offsets = np.asarray(offsets, np.float_) if len(offsets.shape) == 1: offsets = offsets[np.newaxis,:] # Make it Nx2. #This decision is based on how they are initialized above if self._uniform_offsets is None: self._offsets = offsets else: self._uniform_offsets = offsets def get_offsets(self): """ Return the offsets for the collection. """ #This decision is based on how they are initialized above in __init__() if self._uniform_offsets is None: return self._offsets else: return self._uniform_offsets def set_linewidth(self, lw): """ Set the linewidth(s) for the collection. *lw* can be a scalar or a sequence; if it is a sequence the patches will cycle through the sequence ACCEPTS: float or sequence of floats """ if lw is None: lw = mpl.rcParams['patch.linewidth'] self._linewidths = self._get_value(lw) def set_linewidths(self, lw): """alias for set_linewidth""" return self.set_linewidth(lw) def set_lw(self, lw): """alias for set_linewidth""" return self.set_linewidth(lw) def set_linestyle(self, ls): """ Set the linestyle(s) for the collection. ACCEPTS: ['solid' | 'dashed', 'dashdot', 'dotted' | (offset, on-off-dash-seq) ] """ try: dashd = backend_bases.GraphicsContextBase.dashd if cbook.is_string_like(ls): if ls in dashd: dashes = [dashd[ls]] elif ls in cbook.ls_mapper: dashes = [dashd[cbook.ls_mapper[ls]]] else: raise ValueError() elif cbook.iterable(ls): try: dashes = [] for x in ls: if cbook.is_string_like(x): if x in dashd: dashes.append(dashd[x]) elif x in cbook.ls_mapper: dashes.append(dashd[cbook.ls_mapper[x]]) else: raise ValueError() elif cbook.iterable(x) and len(x) == 2: dashes.append(x) else: raise ValueError() except ValueError: if len(ls)==2: dashes = ls else: raise ValueError() else: raise ValueError() except ValueError: raise ValueError('Do not know how to convert %s to dashes'%ls) self._linestyles = dashes def set_linestyles(self, ls): """alias for set_linestyle""" return self.set_linestyle(ls) def set_dashes(self, ls): """alias for set_linestyle""" return self.set_linestyle(ls) def set_antialiased(self, aa): """ Set the antialiasing state for rendering. ACCEPTS: Boolean or sequence of booleans """ if aa is None: aa = mpl.rcParams['patch.antialiased'] self._antialiaseds = self._get_bool(aa) def set_antialiaseds(self, aa): """alias for set_antialiased""" return self.set_antialiased(aa) def set_color(self, c): """ Set both the edgecolor and the facecolor. ACCEPTS: matplotlib color arg or sequence of rgba tuples .. seealso:: :meth:`set_facecolor`, :meth:`set_edgecolor` For setting the edge or face color individually. """ self.set_facecolor(c) self.set_edgecolor(c) def set_facecolor(self, c): """ Set the facecolor(s) of the collection. *c* can be a matplotlib color arg (all patches have same color), or a sequence of rgba tuples; if it is a sequence the patches will cycle through the sequence. If *c* is 'none', the patch will not be filled. ACCEPTS: matplotlib color arg or sequence of rgba tuples """ self._is_filled = True try: if c.lower() == 'none': self._is_filled = False except AttributeError: pass if c is None: c = mpl.rcParams['patch.facecolor'] self._facecolors_original = c self._facecolors = mcolors.colorConverter.to_rgba_array(c, self._alpha) def set_facecolors(self, c): """alias for set_facecolor""" return self.set_facecolor(c) def get_facecolor(self): return self._facecolors get_facecolors = get_facecolor def get_edgecolor(self): if self._edgecolors == 'face': return self.get_facecolors() else: return self._edgecolors get_edgecolors = get_edgecolor def set_edgecolor(self, c): """ Set the edgecolor(s) of the collection. *c* can be a matplotlib color arg (all patches have same color), or a sequence of rgba tuples; if it is a sequence the patches will cycle through the sequence. If *c* is 'face', the edge color will always be the same as the face color. If it is 'none', the patch boundary will not be drawn. ACCEPTS: matplotlib color arg or sequence of rgba tuples """ self._is_stroked = True try: if c.lower() == 'none': self._is_stroked = False except AttributeError: pass if c == 'face': self._edgecolors = 'face' self._edgecolors_original = 'face' else: if c is None: c = mpl.rcParams['patch.edgecolor'] self._edgecolors_original = c self._edgecolors = mcolors.colorConverter.to_rgba_array(c, self._alpha) def set_edgecolors(self, c): """alias for set_edgecolor""" return self.set_edgecolor(c) def set_alpha(self, alpha): """ Set the alpha tranparencies of the collection. *alpha* must be a float or *None*. ACCEPTS: float or None """ if alpha is not None: try: float(alpha) except TypeError: raise TypeError('alpha must be a float or None') artist.Artist.set_alpha(self, alpha) try: self._facecolors = mcolors.colorConverter.to_rgba_array( self._facecolors_original, self._alpha) except (AttributeError, TypeError, IndexError): pass try: if self._edgecolors_original != 'face': self._edgecolors = mcolors.colorConverter.to_rgba_array( self._edgecolors_original, self._alpha) except (AttributeError, TypeError, IndexError): pass def get_linewidths(self): return self._linewidths get_linewidth = get_linewidths def get_linestyles(self): return self._linestyles get_dashes = get_linestyle = get_linestyles def update_scalarmappable(self): """ If the scalar mappable array is not none, update colors from scalar data """ if self._A is None: return if self._A.ndim > 1: raise ValueError('Collections can only map rank 1 arrays') if self._is_filled: self._facecolors = self.to_rgba(self._A, self._alpha) elif self._is_stroked: self._edgecolors = self.to_rgba(self._A, self._alpha) def update_from(self, other): 'copy properties from other to self' artist.Artist.update_from(self, other) self._antialiaseds = other._antialiaseds self._edgecolors_original = other._edgecolors_original self._edgecolors = other._edgecolors self._facecolors_original = other._facecolors_original self._facecolors = other._facecolors self._linewidths = other._linewidths self._linestyles = other._linestyles self._pickradius = other._pickradius # update_from for scalarmappable self._A = other._A self.norm = other.norm self.cmap = other.cmap # self.update_dict = other.update_dict # do we need to copy this? -JJL # these are not available for the object inspector until after the # class is built so we define an initial set here for the init # function and they will be overridden after object defn docstring.interpd.update(Collection = """\ Valid Collection keyword arguments: * *edgecolors*: None * *facecolors*: None * *linewidths*: None * *antialiaseds*: None * *offsets*: None * *transOffset*: transforms.IdentityTransform() * *norm*: None (optional for :class:`matplotlib.cm.ScalarMappable`) * *cmap*: None (optional for :class:`matplotlib.cm.ScalarMappable`) *offsets* and *transOffset* are used to translate the patch after rendering (default no offsets) If any of *edgecolors*, *facecolors*, *linewidths*, *antialiaseds* are None, they default to their :data:`matplotlib.rcParams` patch setting, in sequence form. """) class PathCollection(Collection): """ This is the most basic :class:`Collection` subclass. """ @docstring.dedent_interpd def __init__(self, paths, **kwargs): """ *paths* is a sequence of :class:`matplotlib.path.Path` instances. %(Collection)s """ Collection.__init__(self, **kwargs) self.set_paths(paths) def set_paths(self, paths): self._paths = paths class PolyCollection(Collection): @docstring.dedent_interpd def __init__(self, verts, sizes = None, closed = True, **kwargs): """ *verts* is a sequence of ( *verts0*, *verts1*, ...) where *verts_i* is a sequence of *xy* tuples of vertices, or an equivalent :mod:`numpy` array of shape (*nv*, 2). *sizes* is *None* (default) or a sequence of floats that scale the corresponding *verts_i*. The scaling is applied before the Artist master transform; if the latter is an identity transform, then the overall scaling is such that if *verts_i* specify a unit square, then *sizes_i* is the area of that square in points^2. If len(*sizes*) < *nv*, the additional values will be taken cyclically from the array. *closed*, when *True*, will explicitly close the polygon. %(Collection)s """ Collection.__init__(self,**kwargs) self._sizes = sizes self.set_verts(verts, closed) def set_verts(self, verts, closed=True): '''This allows one to delay initialization of the vertices.''' if np.ma.isMaskedArray(verts): verts = verts.astype(np.float_).filled(np.nan) # This is much faster than having Path do it one at a time. if closed: self._paths = [] for xy in verts: if len(xy): if np.ma.isMaskedArray(xy): xy = np.ma.concatenate([xy, np.zeros((1,2))]) else: xy = np.asarray(xy) xy = np.concatenate([xy, np.zeros((1,2))]) codes = np.empty(xy.shape[0], dtype=mpath.Path.code_type) codes[:] = mpath.Path.LINETO codes[0] = mpath.Path.MOVETO codes[-1] = mpath.Path.CLOSEPOLY self._paths.append(mpath.Path(xy, codes)) else: self._paths.append(mpath.Path(xy)) else: self._paths = [mpath.Path(xy) for xy in verts] set_paths = set_verts @allow_rasterization def draw(self, renderer): if self._sizes is not None: self._transforms = [ transforms.Affine2D().scale( (np.sqrt(x) * self.figure.dpi / 72.0)) for x in self._sizes] return Collection.draw(self, renderer) class BrokenBarHCollection(PolyCollection): """ A collection of horizontal bars spanning *yrange* with a sequence of *xranges*. """ @docstring.dedent_interpd def __init__(self, xranges, yrange, **kwargs): """ *xranges* sequence of (*xmin*, *xwidth*) *yrange* *ymin*, *ywidth* %(Collection)s """ ymin, ywidth = yrange ymax = ymin + ywidth verts = [ [(xmin, ymin), (xmin, ymax), (xmin+xwidth, ymax), (xmin+xwidth, ymin), (xmin, ymin)] for xmin, xwidth in xranges] PolyCollection.__init__(self, verts, **kwargs) @staticmethod def span_where(x, ymin, ymax, where, **kwargs): """ Create a BrokenBarHCollection to plot horizontal bars from over the regions in *x* where *where* is True. The bars range on the y-axis from *ymin* to *ymax* A :class:`BrokenBarHCollection` is returned. *kwargs* are passed on to the collection. """ xranges = [] for ind0, ind1 in mlab.contiguous_regions(where): xslice = x[ind0:ind1] if not len(xslice): continue xranges.append((xslice[0], xslice[-1]-xslice[0])) collection = BrokenBarHCollection(xranges, [ymin, ymax-ymin], **kwargs) return collection class RegularPolyCollection(Collection): """Draw a collection of regular polygons with *numsides*.""" _path_generator = mpath.Path.unit_regular_polygon @docstring.dedent_interpd def __init__(self, numsides, rotation = 0 , sizes = (1,), **kwargs): """ *numsides* the number of sides of the polygon *rotation* the rotation of the polygon in radians *sizes* gives the area of the circle circumscribing the regular polygon in points^2 %(Collection)s Example: see :file:`examples/dynamic_collection.py` for complete example:: offsets = np.random.rand(20,2) facecolors = [cm.jet(x) for x in np.random.rand(20)] black = (0,0,0,1) collection = RegularPolyCollection( numsides=5, # a pentagon rotation=0, sizes=(50,), facecolors = facecolors, edgecolors = (black,), linewidths = (1,), offsets = offsets, transOffset = ax.transData, ) """ Collection.__init__(self,**kwargs) self._sizes = sizes self._numsides = numsides self._paths = [self._path_generator(numsides)] self._rotation = rotation self.set_transform(transforms.IdentityTransform()) @allow_rasterization def draw(self, renderer): self._transforms = [ transforms.Affine2D().rotate(-self._rotation).scale( (np.sqrt(x) * self.figure.dpi / 72.0) / np.sqrt(np.pi)) for x in self._sizes] return Collection.draw(self, renderer) def get_numsides(self): return self._numsides def get_rotation(self): return self._rotation def get_sizes(self): return self._sizes class StarPolygonCollection(RegularPolyCollection): """ Draw a collection of regular stars with *numsides* points.""" _path_generator = mpath.Path.unit_regular_star class AsteriskPolygonCollection(RegularPolyCollection): """ Draw a collection of regular asterisks with *numsides* points.""" _path_generator = mpath.Path.unit_regular_asterisk class LineCollection(Collection): """ All parameters must be sequences or scalars; if scalars, they will be converted to sequences. The property of the ith line segment is:: prop[i % len(props)] i.e., the properties cycle if the ``len`` of props is less than the number of segments. """ zorder = 2 def __init__(self, segments, # Can be None. linewidths = None, colors = None, antialiaseds = None, linestyles = 'solid', offsets = None, transOffset = None, norm = None, cmap = None, pickradius = 5, **kwargs ): """ *segments* a sequence of (*line0*, *line1*, *line2*), where:: linen = (x0, y0), (x1, y1), ... (xm, ym) or the equivalent numpy array with two columns. Each line can be a different length. *colors* must be a sequence of RGBA tuples (eg arbitrary color strings, etc, not allowed). *antialiaseds* must be a sequence of ones or zeros *linestyles* [ 'solid' | 'dashed' | 'dashdot' | 'dotted' ] a string or dash tuple. The dash tuple is:: (offset, onoffseq), where *onoffseq* is an even length tuple of on and off ink in points. If *linewidths*, *colors*, or *antialiaseds* is None, they default to their rcParams setting, in sequence form. If *offsets* and *transOffset* are not None, then *offsets* are transformed by *transOffset* and applied after the segments have been transformed to display coordinates. If *offsets* is not None but *transOffset* is None, then the *offsets* are added to the segments before any transformation. In this case, a single offset can be specified as:: offsets=(xo,yo) and this value will be added cumulatively to each successive segment, so as to produce a set of successively offset curves. *norm* None (optional for :class:`matplotlib.cm.ScalarMappable`) *cmap* None (optional for :class:`matplotlib.cm.ScalarMappable`) *pickradius* is the tolerance for mouse clicks picking a line. The default is 5 pt. The use of :class:`~matplotlib.cm.ScalarMappable` is optional. If the :class:`~matplotlib.cm.ScalarMappable` matrix :attr:`~matplotlib.cm.ScalarMappable._A` is not None (ie a call to :meth:`~matplotlib.cm.ScalarMappable.set_array` has been made), at draw time a call to scalar mappable will be made to set the colors. """ if colors is None: colors = mpl.rcParams['lines.color'] if linewidths is None: linewidths = (mpl.rcParams['lines.linewidth'],) if antialiaseds is None: antialiaseds = (mpl.rcParams['lines.antialiased'],) self.set_linestyles(linestyles) colors = mcolors.colorConverter.to_rgba_array(colors) Collection.__init__( self, edgecolors=colors, facecolors='none', linewidths=linewidths, linestyles=linestyles, antialiaseds=antialiaseds, offsets=offsets, transOffset=transOffset, norm=norm, cmap=cmap, pickradius=pickradius, **kwargs) self.set_segments(segments) def set_segments(self, segments): if segments is None: return _segments = [] for seg in segments: if not np.ma.isMaskedArray(seg): seg = np.asarray(seg, np.float_) _segments.append(seg) if self._uniform_offsets is not None: _segments = self._add_offsets(_segments) self._paths = [mpath.Path(seg) for seg in _segments] set_verts = set_segments # for compatibility with PolyCollection set_paths = set_segments def _add_offsets(self, segs): offsets = self._uniform_offsets Nsegs = len(segs) Noffs = offsets.shape[0] if Noffs == 1: for i in range(Nsegs): segs[i] = segs[i] + i * offsets else: for i in range(Nsegs): io = i%Noffs segs[i] = segs[i] + offsets[io:io+1] return segs def set_color(self, c): """ Set the color(s) of the line collection. *c* can be a matplotlib color arg (all patches have same color), or a sequence or rgba tuples; if it is a sequence the patches will cycle through the sequence. ACCEPTS: matplotlib color arg or sequence of rgba tuples """ self.set_edgecolor(c) def color(self, c): """ Set the color(s) of the line collection. *c* can be a matplotlib color arg (all patches have same color), or a sequence or rgba tuples; if it is a sequence the patches will cycle through the sequence ACCEPTS: matplotlib color arg or sequence of rgba tuples """ warnings.warn('LineCollection.color deprecated; use set_color instead') return self.set_color(c) def get_color(self): return self._edgecolors get_colors = get_color # for compatibility with old versions class CircleCollection(Collection): """ A collection of circles, drawn using splines. """ @docstring.dedent_interpd def __init__(self, sizes, **kwargs): """ *sizes* Gives the area of the circle in points^2 %(Collection)s """ Collection.__init__(self,**kwargs) self._sizes = sizes self.set_transform(transforms.IdentityTransform()) self._paths = [mpath.Path.unit_circle()] def get_sizes(self): "return sizes of circles" return self._sizes @allow_rasterization def draw(self, renderer): # sizes is the area of the circle circumscribing the polygon # in points^2 self._transforms = [ transforms.Affine2D().scale( (np.sqrt(x) * self.figure.dpi / 72.0) / np.sqrt(np.pi)) for x in self._sizes] return Collection.draw(self, renderer) class EllipseCollection(Collection): """ A collection of ellipses, drawn using splines. """ @docstring.dedent_interpd def __init__(self, widths, heights, angles, units='points', **kwargs): """ *widths*: sequence lengths of first axes (e.g., major axis lengths) *heights*: sequence lengths of second axes *angles*: sequence angles of first axes, degrees CCW from the X-axis *units*: ['points' | 'inches' | 'dots' | 'width' | 'height' | 'x' | 'y' | 'xy'] units in which majors and minors are given; 'width' and 'height' refer to the dimensions of the axes, while 'x' and 'y' refer to the *offsets* data units. 'xy' differs from all others in that the angle as plotted varies with the aspect ratio, and equals the specified angle only when the aspect ratio is unity. Hence it behaves the same as the :class:`~matplotlib.patches.Ellipse` with axes.transData as its transform. Additional kwargs inherited from the base :class:`Collection`: %(Collection)s """ Collection.__init__(self,**kwargs) self._widths = 0.5 * np.asarray(widths).ravel() self._heights = 0.5 * np.asarray(heights).ravel() self._angles = np.asarray(angles).ravel() *(np.pi/180.0) self._units = units self.set_transform(transforms.IdentityTransform()) self._transforms = [] self._paths = [mpath.Path.unit_circle()] def _set_transforms(self): """ Calculate transforms immediately before drawing. """ self._transforms = [] ax = self.axes fig = self.figure if self._units == 'xy': sc = 1 elif self._units == 'x': sc = ax.bbox.width / ax.viewLim.width elif self._units == 'y': sc = ax.bbox.height / ax.viewLim.height elif self._units == 'inches': sc = fig.dpi elif self._units == 'points': sc = fig.dpi / 72.0 elif self._units == 'width': sc = ax.bbox.width elif self._units == 'height': sc = ax.bbox.height elif self._units == 'dots': sc = 1.0 else: raise ValueError('unrecognized units: %s' % self._units) _affine = transforms.Affine2D for x, y, a in zip(self._widths, self._heights, self._angles): trans = _affine().scale(x * sc, y * sc).rotate(a) self._transforms.append(trans) if self._units == 'xy': m = ax.transData.get_affine().get_matrix().copy() m[:2, 2:] = 0 self.set_transform(_affine(m)) @allow_rasterization def draw(self, renderer): self._set_transforms() Collection.draw(self, renderer) class PatchCollection(Collection): """ A generic collection of patches. This makes it easier to assign a color map to a heterogeneous collection of patches. This also may improve plotting speed, since PatchCollection will draw faster than a large number of patches. """ def __init__(self, patches, match_original=False, **kwargs): """ *patches* a sequence of Patch objects. This list may include a heterogeneous assortment of different patch types. *match_original* If True, use the colors and linewidths of the original patches. If False, new colors may be assigned by providing the standard collection arguments, facecolor, edgecolor, linewidths, norm or cmap. If any of *edgecolors*, *facecolors*, *linewidths*, *antialiaseds* are None, they default to their :data:`matplotlib.rcParams` patch setting, in sequence form. The use of :class:`~matplotlib.cm.ScalarMappable` is optional. If the :class:`~matplotlib.cm.ScalarMappable` matrix _A is not None (ie a call to set_array has been made), at draw time a call to scalar mappable will be made to set the face colors. """ if match_original: def determine_facecolor(patch): if patch.get_fill(): return patch.get_facecolor() return [0, 0, 0, 0] facecolors = [determine_facecolor(p) for p in patches] edgecolors = [p.get_edgecolor() for p in patches] linewidths = [p.get_linewidth() for p in patches] linestyles = [p.get_linestyle() for p in patches] antialiaseds = [p.get_antialiased() for p in patches] Collection.__init__( self, edgecolors=edgecolors, facecolors=facecolors, linewidths=linewidths, linestyles=linestyles, antialiaseds = antialiaseds) else: Collection.__init__(self, **kwargs) self.set_paths(patches) def set_paths(self, patches): paths = [p.get_transform().transform_path(p.get_path()) for p in patches] self._paths = paths class QuadMesh(Collection): """ Class for the efficient drawing of a quadrilateral mesh. A quadrilateral mesh consists of a grid of vertices. The dimensions of this array are (*meshWidth* + 1, *meshHeight* + 1). Each vertex in the mesh has a different set of "mesh coordinates" representing its position in the topology of the mesh. For any values (*m*, *n*) such that 0 <= *m* <= *meshWidth* and 0 <= *n* <= *meshHeight*, the vertices at mesh coordinates (*m*, *n*), (*m*, *n* + 1), (*m* + 1, *n* + 1), and (*m* + 1, *n*) form one of the quadrilaterals in the mesh. There are thus (*meshWidth* * *meshHeight*) quadrilaterals in the mesh. The mesh need not be regular and the polygons need not be convex. A quadrilateral mesh is represented by a (2 x ((*meshWidth* + 1) * (*meshHeight* + 1))) numpy array *coordinates*, where each row is the *x* and *y* coordinates of one of the vertices. To define the function that maps from a data point to its corresponding color, use the :meth:`set_cmap` method. Each of these arrays is indexed in row-major order by the mesh coordinates of the vertex (or the mesh coordinates of the lower left vertex, in the case of the colors). For example, the first entry in *coordinates* is the coordinates of the vertex at mesh coordinates (0, 0), then the one at (0, 1), then at (0, 2) .. (0, meshWidth), (1, 0), (1, 1), and so on. *shading* may be 'flat', 'faceted' or 'gouraud' """ def __init__(self, meshWidth, meshHeight, coordinates, showedges, antialiased=True, shading='flat', **kwargs): Collection.__init__(self, **kwargs) self._meshWidth = meshWidth self._meshHeight = meshHeight self._coordinates = coordinates self._showedges = showedges self._antialiased = antialiased self._shading = shading self._bbox = transforms.Bbox.unit() self._bbox.update_from_data_xy(coordinates.reshape( ((meshWidth + 1) * (meshHeight + 1), 2))) # By converting to floats now, we can avoid that on every draw. self._coordinates = self._coordinates.reshape((meshHeight + 1, meshWidth + 1, 2)) self._coordinates = np.array(self._coordinates, np.float_) def get_paths(self): if self._paths is None: self.set_paths() return self._paths def set_paths(self): self._paths = self.convert_mesh_to_paths( self._meshWidth, self._meshHeight, self._coordinates) @staticmethod def convert_mesh_to_paths(meshWidth, meshHeight, coordinates): """ Converts a given mesh into a sequence of :class:`matplotlib.path.Path` objects for easier rendering by backends that do not directly support quadmeshes. This function is primarily of use to backend implementers. """ Path = mpath.Path if ma.isMaskedArray(coordinates): c = coordinates.data else: c = coordinates points = np.concatenate(( c[0:-1, 0:-1], c[0:-1, 1: ], c[1: , 1: ], c[1: , 0:-1], c[0:-1, 0:-1] ), axis=2) points = points.reshape((meshWidth * meshHeight, 5, 2)) return [Path(x) for x in points] def convert_mesh_to_triangles(self, meshWidth, meshHeight, coordinates): """ Converts a given mesh into a sequence of triangles, each point with its own color. This is useful for experiments using `draw_qouraud_triangle`. """ Path = mpath.Path if ma.isMaskedArray(coordinates): p = coordinates.data else: p = coordinates p_a = p[0:-1, 0:-1] p_b = p[0:-1, 1: ] p_c = p[1: , 1: ] p_d = p[1: , 0:-1] p_center = (p_a + p_b + p_c + p_d) / 4.0 triangles = np.concatenate(( p_a, p_b, p_center, p_b, p_c, p_center, p_c, p_d, p_center, p_d, p_a, p_center, ), axis=2) triangles = triangles.reshape((meshWidth * meshHeight * 4, 3, 2)) c = self.get_facecolor().reshape((meshHeight + 1, meshWidth + 1, 4)) c_a = c[0:-1, 0:-1] c_b = c[0:-1, 1: ] c_c = c[1: , 1: ] c_d = c[1: , 0:-1] c_center = (c_a + c_b + c_c + c_d) / 4.0 colors = np.concatenate(( c_a, c_b, c_center, c_b, c_c, c_center, c_c, c_d, c_center, c_d, c_a, c_center, ), axis=2) colors = colors.reshape((meshWidth * meshHeight * 4, 3, 4)) return triangles, colors def get_datalim(self, transData): return self._bbox @allow_rasterization def draw(self, renderer): if not self.get_visible(): return renderer.open_group(self.__class__.__name__) transform = self.get_transform() transOffset = self._transOffset offsets = self._offsets if self.have_units(): if len(self._offsets): xs = self.convert_xunits(self._offsets[:0]) ys = self.convert_yunits(self._offsets[:1]) offsets = zip(xs, ys) offsets = np.asarray(offsets, np.float_) if self.check_update('array'): self.update_scalarmappable() if not transform.is_affine: coordinates = self._coordinates.reshape( (self._coordinates.shape[0] * self._coordinates.shape[1], 2)) coordinates = transform.transform(coordinates) coordinates = coordinates.reshape(self._coordinates.shape) transform = transforms.IdentityTransform() else: coordinates = self._coordinates if not transOffset.is_affine: offsets = transOffset.transform_non_affine(offsets) transOffset = transOffset.get_affine() gc = renderer.new_gc() self._set_gc_clip(gc) gc.set_linewidth(self.get_linewidth()[0]) if self._shading == 'gouraud': triangles, colors = self.convert_mesh_to_triangles( self._meshWidth, self._meshHeight, coordinates) renderer.draw_gouraud_triangles(gc, triangles, colors, transform.frozen()) else: renderer.draw_quad_mesh( gc, transform.frozen(), self._meshWidth, self._meshHeight, coordinates, offsets, transOffset, self.get_facecolor(), self._antialiased, self._showedges) gc.restore() renderer.close_group(self.__class__.__name__) patchstr = artist.kwdoc(Collection) for k in ('QuadMesh', 'PolyCollection', 'BrokenBarHCollection', 'RegularPolyCollection', 'PathCollection', 'StarPolygonCollection', 'PatchCollection', 'CircleCollection', 'Collection',): docstring.interpd.update({k:patchstr}) docstring.interpd.update(LineCollection = artist.kwdoc(LineCollection))