r""" Patches are `.Artist`\s with a face color and an edge color. """ import functools import inspect import math from numbers import Number, Real import textwrap from types import SimpleNamespace from collections import namedtuple from matplotlib.transforms import Affine2D import numpy as np import matplotlib as mpl from . import (_api, artist, cbook, colors, _docstring, hatch as mhatch, lines as mlines, transforms) from .bezier import ( NonIntersectingPathException, get_cos_sin, get_intersection, get_parallels, inside_circle, make_wedged_bezier2, split_bezier_intersecting_with_closedpath, split_path_inout) from .path import Path from ._enums import JoinStyle, CapStyle @_docstring.interpd @_api.define_aliases({ "antialiased": ["aa"], "edgecolor": ["ec"], "facecolor": ["fc"], "linestyle": ["ls"], "linewidth": ["lw"], }) class Patch(artist.Artist): """ A patch is a 2D artist with a face color and an edge color. If any of *edgecolor*, *facecolor*, *linewidth*, or *antialiased* are *None*, they default to their rc params setting. """ zorder = 1 # Whether to draw an edge by default. Set on a # subclass-by-subclass basis. _edge_default = False def __init__(self, *, edgecolor=None, facecolor=None, color=None, linewidth=None, linestyle=None, antialiased=None, hatch=None, fill=True, capstyle=None, joinstyle=None, **kwargs): """ The following kwarg properties are supported %(Patch:kwdoc)s """ super().__init__() if linestyle is None: linestyle = "solid" if capstyle is None: capstyle = CapStyle.butt if joinstyle is None: joinstyle = JoinStyle.miter self._hatch_color = colors.to_rgba(mpl.rcParams['hatch.color']) self._fill = bool(fill) # needed for set_facecolor call if color is not None: if edgecolor is not None or facecolor is not None: _api.warn_external( "Setting the 'color' property will override " "the edgecolor or facecolor properties.") self.set_color(color) else: self.set_edgecolor(edgecolor) self.set_facecolor(facecolor) self._linewidth = 0 self._unscaled_dash_pattern = (0, None) # offset, dash self._dash_pattern = (0, None) # offset, dash (scaled by linewidth) self.set_linestyle(linestyle) self.set_linewidth(linewidth) self.set_antialiased(antialiased) self.set_hatch(hatch) self.set_capstyle(capstyle) self.set_joinstyle(joinstyle) if len(kwargs): self._internal_update(kwargs) def get_verts(self): """ Return a copy of the vertices used in this patch. If the patch contains Bézier curves, the curves will be interpolated by line segments. To access the curves as curves, use `get_path`. """ trans = self.get_transform() path = self.get_path() polygons = path.to_polygons(trans) if len(polygons): return polygons[0] return [] def _process_radius(self, radius): if radius is not None: return radius if isinstance(self._picker, Number): _radius = self._picker else: if self.get_edgecolor()[3] == 0: _radius = 0 else: _radius = self.get_linewidth() return _radius def contains(self, mouseevent, radius=None): """ Test whether the mouse event occurred in the patch. Returns ------- (bool, empty dict) """ if self._different_canvas(mouseevent): return False, {} radius = self._process_radius(radius) codes = self.get_path().codes if codes is not None: vertices = self.get_path().vertices # if the current path is concatenated by multiple sub paths. # get the indexes of the starting code(MOVETO) of all sub paths idxs, = np.where(codes == Path.MOVETO) # Don't split before the first MOVETO. idxs = idxs[1:] subpaths = map( Path, np.split(vertices, idxs), np.split(codes, idxs)) else: subpaths = [self.get_path()] inside = any( subpath.contains_point( (mouseevent.x, mouseevent.y), self.get_transform(), radius) for subpath in subpaths) return inside, {} def contains_point(self, point, radius=None): """ Return whether the given point is inside the patch. Parameters ---------- point : (float, float) The point (x, y) to check, in target coordinates of ``self.get_transform()``. These are display coordinates for patches that are added to a figure or axes. radius : float, optional Additional margin on the patch in target coordinates of ``self.get_transform()``. See `.Path.contains_point` for further details. Returns ------- bool Notes ----- The proper use of this method depends on the transform of the patch. Isolated patches do not have a transform. In this case, the patch creation coordinates and the point coordinates match. The following example checks that the center of a circle is within the circle >>> center = 0, 0 >>> c = Circle(center, radius=1) >>> c.contains_point(center) True The convention of checking against the transformed patch stems from the fact that this method is predominantly used to check if display coordinates (e.g. from mouse events) are within the patch. If you want to do the above check with data coordinates, you have to properly transform them first: >>> center = 0, 0 >>> c = Circle(center, radius=1) >>> plt.gca().add_patch(c) >>> transformed_center = c.get_transform().transform(center) >>> c.contains_point(transformed_center) True """ radius = self._process_radius(radius) return self.get_path().contains_point(point, self.get_transform(), radius) def contains_points(self, points, radius=None): """ Return whether the given points are inside the patch. Parameters ---------- points : (N, 2) array The points to check, in target coordinates of ``self.get_transform()``. These are display coordinates for patches that are added to a figure or axes. Columns contain x and y values. radius : float, optional Additional margin on the patch in target coordinates of ``self.get_transform()``. See `.Path.contains_point` for further details. Returns ------- length-N bool array Notes ----- The proper use of this method depends on the transform of the patch. See the notes on `.Patch.contains_point`. """ radius = self._process_radius(radius) return self.get_path().contains_points(points, self.get_transform(), radius) def update_from(self, other): # docstring inherited. super().update_from(other) # For some properties we don't need or don't want to go through the # getters/setters, so we just copy them directly. self._edgecolor = other._edgecolor self._facecolor = other._facecolor self._original_edgecolor = other._original_edgecolor self._original_facecolor = other._original_facecolor self._fill = other._fill self._hatch = other._hatch self._hatch_color = other._hatch_color self._unscaled_dash_pattern = other._unscaled_dash_pattern self.set_linewidth(other._linewidth) # also sets scaled dashes self.set_transform(other.get_data_transform()) # If the transform of other needs further initialization, then it will # be the case for this artist too. self._transformSet = other.is_transform_set() def get_extents(self): """ Return the `Patch`'s axis-aligned extents as a `~.transforms.Bbox`. """ return self.get_path().get_extents(self.get_transform()) def get_transform(self): """Return the `~.transforms.Transform` applied to the `Patch`.""" return self.get_patch_transform() + artist.Artist.get_transform(self) def get_data_transform(self): """ Return the `~.transforms.Transform` mapping data coordinates to physical coordinates. """ return artist.Artist.get_transform(self) def get_patch_transform(self): """ Return the `~.transforms.Transform` instance mapping patch coordinates to data coordinates. For example, one may define a patch of a circle which represents a radius of 5 by providing coordinates for a unit circle, and a transform which scales the coordinates (the patch coordinate) by 5. """ return transforms.IdentityTransform() def get_antialiased(self): """Return whether antialiasing is used for drawing.""" return self._antialiased def get_edgecolor(self): """Return the edge color.""" return self._edgecolor def get_facecolor(self): """Return the face color.""" return self._facecolor def get_linewidth(self): """Return the line width in points.""" return self._linewidth def get_linestyle(self): """Return the linestyle.""" return self._linestyle def set_antialiased(self, aa): """ Set whether to use antialiased rendering. Parameters ---------- aa : bool or None """ if aa is None: aa = mpl.rcParams['patch.antialiased'] self._antialiased = aa self.stale = True def _set_edgecolor(self, color): set_hatch_color = True if color is None: if (mpl.rcParams['patch.force_edgecolor'] or not self._fill or self._edge_default): color = mpl.rcParams['patch.edgecolor'] else: color = 'none' set_hatch_color = False self._edgecolor = colors.to_rgba(color, self._alpha) if set_hatch_color: self._hatch_color = self._edgecolor self.stale = True def set_edgecolor(self, color): """ Set the patch edge color. Parameters ---------- color : color or None """ self._original_edgecolor = color self._set_edgecolor(color) def _set_facecolor(self, color): if color is None: color = mpl.rcParams['patch.facecolor'] alpha = self._alpha if self._fill else 0 self._facecolor = colors.to_rgba(color, alpha) self.stale = True def set_facecolor(self, color): """ Set the patch face color. Parameters ---------- color : color or None """ self._original_facecolor = color self._set_facecolor(color) def set_color(self, c): """ Set both the edgecolor and the facecolor. Parameters ---------- c : color See Also -------- Patch.set_facecolor, Patch.set_edgecolor For setting the edge or face color individually. """ self.set_facecolor(c) self.set_edgecolor(c) def set_alpha(self, alpha): # docstring inherited super().set_alpha(alpha) self._set_facecolor(self._original_facecolor) self._set_edgecolor(self._original_edgecolor) # stale is already True def set_linewidth(self, w): """ Set the patch linewidth in points. Parameters ---------- w : float or None """ if w is None: w = mpl.rcParams['patch.linewidth'] self._linewidth = float(w) self._dash_pattern = mlines._scale_dashes( *self._unscaled_dash_pattern, w) self.stale = True def set_linestyle(self, ls): """ Set the patch linestyle. ========================================== ================= linestyle description ========================================== ================= ``'-'`` or ``'solid'`` solid line ``'--'`` or ``'dashed'`` dashed line ``'-.'`` or ``'dashdot'`` dash-dotted line ``':'`` or ``'dotted'`` dotted line ``'none'``, ``'None'``, ``' '``, or ``''`` draw nothing ========================================== ================= Alternatively a dash tuple of the following form can be provided:: (offset, onoffseq) where ``onoffseq`` is an even length tuple of on and off ink in points. Parameters ---------- ls : {'-', '--', '-.', ':', '', (offset, on-off-seq), ...} The line style. """ if ls is None: ls = "solid" if ls in [' ', '', 'none']: ls = 'None' self._linestyle = ls self._unscaled_dash_pattern = mlines._get_dash_pattern(ls) self._dash_pattern = mlines._scale_dashes( *self._unscaled_dash_pattern, self._linewidth) self.stale = True def set_fill(self, b): """ Set whether to fill the patch. Parameters ---------- b : bool """ self._fill = bool(b) self._set_facecolor(self._original_facecolor) self._set_edgecolor(self._original_edgecolor) self.stale = True def get_fill(self): """Return whether the patch is filled.""" return self._fill # Make fill a property so as to preserve the long-standing # but somewhat inconsistent behavior in which fill was an # attribute. fill = property(get_fill, set_fill) @_docstring.interpd def set_capstyle(self, s): """ Set the `.CapStyle`. The default capstyle is 'round' for `.FancyArrowPatch` and 'butt' for all other patches. Parameters ---------- s : `.CapStyle` or %(CapStyle)s """ cs = CapStyle(s) self._capstyle = cs self.stale = True def get_capstyle(self): """Return the capstyle.""" return self._capstyle.name @_docstring.interpd def set_joinstyle(self, s): """ Set the `.JoinStyle`. The default joinstyle is 'round' for `.FancyArrowPatch` and 'miter' for all other patches. Parameters ---------- s : `.JoinStyle` or %(JoinStyle)s """ js = JoinStyle(s) self._joinstyle = js self.stale = True def get_joinstyle(self): """Return the joinstyle.""" return self._joinstyle.name def set_hatch(self, hatch): r""" Set the hatching pattern. *hatch* can be one of:: / - diagonal hatching \ - back diagonal | - vertical - - horizontal + - crossed x - crossed diagonal o - small circle O - large circle . - dots * - stars Letters can be combined, in which case all the specified hatchings are done. If same letter repeats, it increases the density of hatching of that pattern. Hatching is supported in the PostScript, PDF, SVG and Agg backends only. Parameters ---------- hatch : {'/', '\\', '|', '-', '+', 'x', 'o', 'O', '.', '*'} """ # Use validate_hatch(list) after deprecation. mhatch._validate_hatch_pattern(hatch) self._hatch = hatch self.stale = True def get_hatch(self): """Return the hatching pattern.""" return self._hatch def _draw_paths_with_artist_properties( self, renderer, draw_path_args_list): """ ``draw()`` helper factored out for sharing with `FancyArrowPatch`. Configure *renderer* and the associated graphics context *gc* from the artist properties, then repeatedly call ``renderer.draw_path(gc, *draw_path_args)`` for each tuple *draw_path_args* in *draw_path_args_list*. """ renderer.open_group('patch', self.get_gid()) gc = renderer.new_gc() gc.set_foreground(self._edgecolor, isRGBA=True) lw = self._linewidth if self._edgecolor[3] == 0 or self._linestyle == 'None': lw = 0 gc.set_linewidth(lw) gc.set_dashes(*self._dash_pattern) gc.set_capstyle(self._capstyle) gc.set_joinstyle(self._joinstyle) gc.set_antialiased(self._antialiased) self._set_gc_clip(gc) gc.set_url(self._url) gc.set_snap(self.get_snap()) gc.set_alpha(self._alpha) if self._hatch: gc.set_hatch(self._hatch) gc.set_hatch_color(self._hatch_color) if self.get_sketch_params() is not None: gc.set_sketch_params(*self.get_sketch_params()) if self.get_path_effects(): from matplotlib.patheffects import PathEffectRenderer renderer = PathEffectRenderer(self.get_path_effects(), renderer) for draw_path_args in draw_path_args_list: renderer.draw_path(gc, *draw_path_args) gc.restore() renderer.close_group('patch') self.stale = False @artist.allow_rasterization def draw(self, renderer): # docstring inherited if not self.get_visible(): return path = self.get_path() transform = self.get_transform() tpath = transform.transform_path_non_affine(path) affine = transform.get_affine() self._draw_paths_with_artist_properties( renderer, [(tpath, affine, # Work around a bug in the PDF and SVG renderers, which # do not draw the hatches if the facecolor is fully # transparent, but do if it is None. self._facecolor if self._facecolor[3] else None)]) def get_path(self): """Return the path of this patch.""" raise NotImplementedError('Derived must override') def get_window_extent(self, renderer=None): return self.get_path().get_extents(self.get_transform()) def _convert_xy_units(self, xy): """Convert x and y units for a tuple (x, y).""" x = self.convert_xunits(xy[0]) y = self.convert_yunits(xy[1]) return x, y class Shadow(Patch): def __str__(self): return f"Shadow({self.patch})" @_docstring.dedent_interpd def __init__(self, patch, ox, oy, *, shade=0.7, **kwargs): """ Create a shadow of the given *patch*. By default, the shadow will have the same face color as the *patch*, but darkened. The darkness can be controlled by *shade*. Parameters ---------- patch : `~matplotlib.patches.Patch` The patch to create the shadow for. ox, oy : float The shift of the shadow in data coordinates, scaled by a factor of dpi/72. shade : float, default: 0.7 How the darkness of the shadow relates to the original color. If 1, the shadow is black, if 0, the shadow has the same color as the *patch*. .. versionadded:: 3.8 **kwargs Properties of the shadow patch. Supported keys are: %(Patch:kwdoc)s """ super().__init__() self.patch = patch self._ox, self._oy = ox, oy self._shadow_transform = transforms.Affine2D() self.update_from(self.patch) if not 0 <= shade <= 1: raise ValueError("shade must be between 0 and 1.") color = (1 - shade) * np.asarray(colors.to_rgb(self.patch.get_facecolor())) self.update({'facecolor': color, 'edgecolor': color, 'alpha': 0.5, # Place shadow patch directly behind the inherited patch. 'zorder': np.nextafter(self.patch.zorder, -np.inf), **kwargs}) def _update_transform(self, renderer): ox = renderer.points_to_pixels(self._ox) oy = renderer.points_to_pixels(self._oy) self._shadow_transform.clear().translate(ox, oy) def get_path(self): return self.patch.get_path() def get_patch_transform(self): return self.patch.get_patch_transform() + self._shadow_transform def draw(self, renderer): self._update_transform(renderer) super().draw(renderer) class Rectangle(Patch): """ A rectangle defined via an anchor point *xy* and its *width* and *height*. The rectangle extends from ``xy[0]`` to ``xy[0] + width`` in x-direction and from ``xy[1]`` to ``xy[1] + height`` in y-direction. :: : +------------------+ : | | : height | : | | : (xy)---- width -----+ One may picture *xy* as the bottom left corner, but which corner *xy* is actually depends on the direction of the axis and the sign of *width* and *height*; e.g. *xy* would be the bottom right corner if the x-axis was inverted or if *width* was negative. """ def __str__(self): pars = self._x0, self._y0, self._width, self._height, self.angle fmt = "Rectangle(xy=(%g, %g), width=%g, height=%g, angle=%g)" return fmt % pars @_docstring.dedent_interpd def __init__(self, xy, width, height, *, angle=0.0, rotation_point='xy', **kwargs): """ Parameters ---------- xy : (float, float) The anchor point. width : float Rectangle width. height : float Rectangle height. angle : float, default: 0 Rotation in degrees anti-clockwise about the rotation point. rotation_point : {'xy', 'center', (number, number)}, default: 'xy' If ``'xy'``, rotate around the anchor point. If ``'center'`` rotate around the center. If 2-tuple of number, rotate around this coordinate. Other Parameters ---------------- **kwargs : `~matplotlib.patches.Patch` properties %(Patch:kwdoc)s """ super().__init__(**kwargs) self._x0 = xy[0] self._y0 = xy[1] self._width = width self._height = height self.angle = float(angle) self.rotation_point = rotation_point # Required for RectangleSelector with axes aspect ratio != 1 # The patch is defined in data coordinates and when changing the # selector with square modifier and not in data coordinates, we need # to correct for the aspect ratio difference between the data and # display coordinate systems. Its value is typically provide by # Axes._get_aspect_ratio() self._aspect_ratio_correction = 1.0 self._convert_units() # Validate the inputs. def get_path(self): """Return the vertices of the rectangle.""" return Path.unit_rectangle() def _convert_units(self): """Convert bounds of the rectangle.""" x0 = self.convert_xunits(self._x0) y0 = self.convert_yunits(self._y0) x1 = self.convert_xunits(self._x0 + self._width) y1 = self.convert_yunits(self._y0 + self._height) return x0, y0, x1, y1 def get_patch_transform(self): # Note: This cannot be called until after this has been added to # an Axes, otherwise unit conversion will fail. This makes it very # important to call the accessor method and not directly access the # transformation member variable. bbox = self.get_bbox() if self.rotation_point == 'center': width, height = bbox.x1 - bbox.x0, bbox.y1 - bbox.y0 rotation_point = bbox.x0 + width / 2., bbox.y0 + height / 2. elif self.rotation_point == 'xy': rotation_point = bbox.x0, bbox.y0 else: rotation_point = self.rotation_point return transforms.BboxTransformTo(bbox) \ + transforms.Affine2D() \ .translate(-rotation_point[0], -rotation_point[1]) \ .scale(1, self._aspect_ratio_correction) \ .rotate_deg(self.angle) \ .scale(1, 1 / self._aspect_ratio_correction) \ .translate(*rotation_point) @property def rotation_point(self): """The rotation point of the patch.""" return self._rotation_point @rotation_point.setter def rotation_point(self, value): if value in ['center', 'xy'] or ( isinstance(value, tuple) and len(value) == 2 and isinstance(value[0], Real) and isinstance(value[1], Real) ): self._rotation_point = value else: raise ValueError("`rotation_point` must be one of " "{'xy', 'center', (number, number)}.") def get_x(self): """Return the left coordinate of the rectangle.""" return self._x0 def get_y(self): """Return the bottom coordinate of the rectangle.""" return self._y0 def get_xy(self): """Return the left and bottom coords of the rectangle as a tuple.""" return self._x0, self._y0 def get_corners(self): """ Return the corners of the rectangle, moving anti-clockwise from (x0, y0). """ return self.get_patch_transform().transform( [(0, 0), (1, 0), (1, 1), (0, 1)]) def get_center(self): """Return the centre of the rectangle.""" return self.get_patch_transform().transform((0.5, 0.5)) def get_width(self): """Return the width of the rectangle.""" return self._width def get_height(self): """Return the height of the rectangle.""" return self._height def get_angle(self): """Get the rotation angle in degrees.""" return self.angle def set_x(self, x): """Set the left coordinate of the rectangle.""" self._x0 = x self.stale = True def set_y(self, y): """Set the bottom coordinate of the rectangle.""" self._y0 = y self.stale = True def set_angle(self, angle): """ Set the rotation angle in degrees. The rotation is performed anti-clockwise around *xy*. """ self.angle = angle self.stale = True def set_xy(self, xy): """ Set the left and bottom coordinates of the rectangle. Parameters ---------- xy : (float, float) """ self._x0, self._y0 = xy self.stale = True def set_width(self, w): """Set the width of the rectangle.""" self._width = w self.stale = True def set_height(self, h): """Set the height of the rectangle.""" self._height = h self.stale = True def set_bounds(self, *args): """ Set the bounds of the rectangle as *left*, *bottom*, *width*, *height*. The values may be passed as separate parameters or as a tuple:: set_bounds(left, bottom, width, height) set_bounds((left, bottom, width, height)) .. ACCEPTS: (left, bottom, width, height) """ if len(args) == 1: l, b, w, h = args[0] else: l, b, w, h = args self._x0 = l self._y0 = b self._width = w self._height = h self.stale = True def get_bbox(self): """Return the `.Bbox`.""" return transforms.Bbox.from_extents(*self._convert_units()) xy = property(get_xy, set_xy) class RegularPolygon(Patch): """A regular polygon patch.""" def __str__(self): s = "RegularPolygon((%g, %g), %d, radius=%g, orientation=%g)" return s % (self.xy[0], self.xy[1], self.numvertices, self.radius, self.orientation) @_docstring.dedent_interpd def __init__(self, xy, numVertices, *, radius=5, orientation=0, **kwargs): """ Parameters ---------- xy : (float, float) The center position. numVertices : int The number of vertices. radius : float The distance from the center to each of the vertices. orientation : float The polygon rotation angle (in radians). **kwargs `Patch` properties: %(Patch:kwdoc)s """ self.xy = xy self.numvertices = numVertices self.orientation = orientation self.radius = radius self._path = Path.unit_regular_polygon(numVertices) self._patch_transform = transforms.Affine2D() super().__init__(**kwargs) def get_path(self): return self._path def get_patch_transform(self): return self._patch_transform.clear() \ .scale(self.radius) \ .rotate(self.orientation) \ .translate(*self.xy) class PathPatch(Patch): """A general polycurve path patch.""" _edge_default = True def __str__(self): s = "PathPatch%d((%g, %g) ...)" return s % (len(self._path.vertices), *tuple(self._path.vertices[0])) @_docstring.dedent_interpd def __init__(self, path, **kwargs): """ *path* is a `.Path` object. Valid keyword arguments are: %(Patch:kwdoc)s """ super().__init__(**kwargs) self._path = path def get_path(self): return self._path def set_path(self, path): self._path = path class StepPatch(PathPatch): """ A path patch describing a stepwise constant function. By default, the path is not closed and starts and stops at baseline value. """ _edge_default = False @_docstring.dedent_interpd def __init__(self, values, edges, *, orientation='vertical', baseline=0, **kwargs): """ Parameters ---------- values : array-like The step heights. edges : array-like The edge positions, with ``len(edges) == len(vals) + 1``, between which the curve takes on vals values. orientation : {'vertical', 'horizontal'}, default: 'vertical' The direction of the steps. Vertical means that *values* are along the y-axis, and edges are along the x-axis. baseline : float, array-like or None, default: 0 The bottom value of the bounding edges or when ``fill=True``, position of lower edge. If *fill* is True or an array is passed to *baseline*, a closed path is drawn. **kwargs `Patch` properties: %(Patch:kwdoc)s """ self.orientation = orientation self._edges = np.asarray(edges) self._values = np.asarray(values) self._baseline = np.asarray(baseline) if baseline is not None else None self._update_path() super().__init__(self._path, **kwargs) def _update_path(self): if np.isnan(np.sum(self._edges)): raise ValueError('Nan values in "edges" are disallowed') if self._edges.size - 1 != self._values.size: raise ValueError('Size mismatch between "values" and "edges". ' "Expected `len(values) + 1 == len(edges)`, but " f"`len(values) = {self._values.size}` and " f"`len(edges) = {self._edges.size}`.") # Initializing with empty arrays allows supporting empty stairs. verts, codes = [np.empty((0, 2))], [np.empty(0, dtype=Path.code_type)] _nan_mask = np.isnan(self._values) if self._baseline is not None: _nan_mask |= np.isnan(self._baseline) for idx0, idx1 in cbook.contiguous_regions(~_nan_mask): x = np.repeat(self._edges[idx0:idx1+1], 2) y = np.repeat(self._values[idx0:idx1], 2) if self._baseline is None: y = np.concatenate([y[:1], y, y[-1:]]) elif self._baseline.ndim == 0: # single baseline value y = np.concatenate([[self._baseline], y, [self._baseline]]) elif self._baseline.ndim == 1: # baseline array base = np.repeat(self._baseline[idx0:idx1], 2)[::-1] x = np.concatenate([x, x[::-1]]) y = np.concatenate([base[-1:], y, base[:1], base[:1], base, base[-1:]]) else: # no baseline raise ValueError('Invalid `baseline` specified') if self.orientation == 'vertical': xy = np.column_stack([x, y]) else: xy = np.column_stack([y, x]) verts.append(xy) codes.append([Path.MOVETO] + [Path.LINETO]*(len(xy)-1)) self._path = Path(np.concatenate(verts), np.concatenate(codes)) def get_data(self): """Get `.StepPatch` values, edges and baseline as namedtuple.""" StairData = namedtuple('StairData', 'values edges baseline') return StairData(self._values, self._edges, self._baseline) def set_data(self, values=None, edges=None, baseline=None): """ Set `.StepPatch` values, edges and baseline. Parameters ---------- values : 1D array-like or None Will not update values, if passing None edges : 1D array-like, optional baseline : float, 1D array-like or None """ if values is None and edges is None and baseline is None: raise ValueError("Must set *values*, *edges* or *baseline*.") if values is not None: self._values = np.asarray(values) if edges is not None: self._edges = np.asarray(edges) if baseline is not None: self._baseline = np.asarray(baseline) self._update_path() self.stale = True class Polygon(Patch): """A general polygon patch.""" def __str__(self): if len(self._path.vertices): s = "Polygon%d((%g, %g) ...)" return s % (len(self._path.vertices), *self._path.vertices[0]) else: return "Polygon0()" @_docstring.dedent_interpd def __init__(self, xy, *, closed=True, **kwargs): """ Parameters ---------- xy : (N, 2) array closed : bool, default: True Whether the polygon is closed (i.e., has identical start and end points). **kwargs %(Patch:kwdoc)s """ super().__init__(**kwargs) self._closed = closed self.set_xy(xy) def get_path(self): """Get the `.Path` of the polygon.""" return self._path def get_closed(self): """Return whether the polygon is closed.""" return self._closed def set_closed(self, closed): """ Set whether the polygon is closed. Parameters ---------- closed : bool True if the polygon is closed """ if self._closed == bool(closed): return self._closed = bool(closed) self.set_xy(self.get_xy()) self.stale = True def get_xy(self): """ Get the vertices of the path. Returns ------- (N, 2) array The coordinates of the vertices. """ return self._path.vertices def set_xy(self, xy): """ Set the vertices of the polygon. Parameters ---------- xy : (N, 2) array-like The coordinates of the vertices. Notes ----- Unlike `.Path`, we do not ignore the last input vertex. If the polygon is meant to be closed, and the last point of the polygon is not equal to the first, we assume that the user has not explicitly passed a ``CLOSEPOLY`` vertex, and add it ourselves. """ xy = np.asarray(xy) nverts, _ = xy.shape if self._closed: # if the first and last vertex are the "same", then we assume that # the user explicitly passed the CLOSEPOLY vertex. Otherwise, we # have to append one since the last vertex will be "ignored" by # Path if nverts == 1 or nverts > 1 and (xy[0] != xy[-1]).any(): xy = np.concatenate([xy, [xy[0]]]) else: # if we aren't closed, and the last vertex matches the first, then # we assume we have an unnecessary CLOSEPOLY vertex and remove it if nverts > 2 and (xy[0] == xy[-1]).all(): xy = xy[:-1] self._path = Path(xy, closed=self._closed) self.stale = True xy = property(get_xy, set_xy, doc='The vertices of the path as a (N, 2) array.') class Wedge(Patch): """Wedge shaped patch.""" def __str__(self): pars = (self.center[0], self.center[1], self.r, self.theta1, self.theta2, self.width) fmt = "Wedge(center=(%g, %g), r=%g, theta1=%g, theta2=%g, width=%s)" return fmt % pars @_docstring.dedent_interpd def __init__(self, center, r, theta1, theta2, *, width=None, **kwargs): """ A wedge centered at *x*, *y* center with radius *r* that sweeps *theta1* to *theta2* (in degrees). If *width* is given, then a partial wedge is drawn from inner radius *r* - *width* to outer radius *r*. Valid keyword arguments are: %(Patch:kwdoc)s """ super().__init__(**kwargs) self.center = center self.r, self.width = r, width self.theta1, self.theta2 = theta1, theta2 self._patch_transform = transforms.IdentityTransform() self._recompute_path() def _recompute_path(self): # Inner and outer rings are connected unless the annulus is complete if abs((self.theta2 - self.theta1) - 360) <= 1e-12: theta1, theta2 = 0, 360 connector = Path.MOVETO else: theta1, theta2 = self.theta1, self.theta2 connector = Path.LINETO # Form the outer ring arc = Path.arc(theta1, theta2) if self.width is not None: # Partial annulus needs to draw the outer ring # followed by a reversed and scaled inner ring v1 = arc.vertices v2 = arc.vertices[::-1] * (self.r - self.width) / self.r v = np.concatenate([v1, v2, [(0, 0)]]) c = [*arc.codes, connector, *arc.codes[1:], Path.CLOSEPOLY] else: # Wedge doesn't need an inner ring v = np.concatenate([arc.vertices, [(0, 0), (0, 0)]]) c = [*arc.codes, connector, Path.CLOSEPOLY] # Shift and scale the wedge to the final location. self._path = Path(v * self.r + self.center, c) def set_center(self, center): self._path = None self.center = center self.stale = True def set_radius(self, radius): self._path = None self.r = radius self.stale = True def set_theta1(self, theta1): self._path = None self.theta1 = theta1 self.stale = True def set_theta2(self, theta2): self._path = None self.theta2 = theta2 self.stale = True def set_width(self, width): self._path = None self.width = width self.stale = True def get_path(self): if self._path is None: self._recompute_path() return self._path # COVERAGE NOTE: Not used internally or from examples class Arrow(Patch): """An arrow patch.""" def __str__(self): return "Arrow()" _path = Path._create_closed([ [0.0, 0.1], [0.0, -0.1], [0.8, -0.1], [0.8, -0.3], [1.0, 0.0], [0.8, 0.3], [0.8, 0.1]]) @_docstring.dedent_interpd def __init__(self, x, y, dx, dy, *, width=1.0, **kwargs): """ Draws an arrow from (*x*, *y*) to (*x* + *dx*, *y* + *dy*). The width of the arrow is scaled by *width*. Parameters ---------- x : float x coordinate of the arrow tail. y : float y coordinate of the arrow tail. dx : float Arrow length in the x direction. dy : float Arrow length in the y direction. width : float, default: 1 Scale factor for the width of the arrow. With a default value of 1, the tail width is 0.2 and head width is 0.6. **kwargs Keyword arguments control the `Patch` properties: %(Patch:kwdoc)s See Also -------- FancyArrow Patch that allows independent control of the head and tail properties. """ super().__init__(**kwargs) self._patch_transform = ( transforms.Affine2D() .scale(np.hypot(dx, dy), width) .rotate(np.arctan2(dy, dx)) .translate(x, y) .frozen()) def get_path(self): return self._path def get_patch_transform(self): return self._patch_transform class FancyArrow(Polygon): """ Like Arrow, but lets you set head width and head height independently. """ _edge_default = True def __str__(self): return "FancyArrow()" @_docstring.dedent_interpd def __init__(self, x, y, dx, dy, *, width=0.001, length_includes_head=False, head_width=None, head_length=None, shape='full', overhang=0, head_starts_at_zero=False, **kwargs): """ Parameters ---------- x, y : float The x and y coordinates of the arrow base. dx, dy : float The length of the arrow along x and y direction. width : float, default: 0.001 Width of full arrow tail. length_includes_head : bool, default: False True if head is to be counted in calculating the length. head_width : float or None, default: 3*width Total width of the full arrow head. head_length : float or None, default: 1.5*head_width Length of arrow head. shape : {'full', 'left', 'right'}, default: 'full' Draw the left-half, right-half, or full arrow. overhang : float, default: 0 Fraction that the arrow is swept back (0 overhang means triangular shape). Can be negative or greater than one. head_starts_at_zero : bool, default: False If True, the head starts being drawn at coordinate 0 instead of ending at coordinate 0. **kwargs `.Patch` properties: %(Patch:kwdoc)s """ self._x = x self._y = y self._dx = dx self._dy = dy self._width = width self._length_includes_head = length_includes_head self._head_width = head_width self._head_length = head_length self._shape = shape self._overhang = overhang self._head_starts_at_zero = head_starts_at_zero self._make_verts() super().__init__(self.verts, closed=True, **kwargs) def set_data(self, *, x=None, y=None, dx=None, dy=None, width=None, head_width=None, head_length=None): """ Set `.FancyArrow` x, y, dx, dy, width, head_with, and head_length. Values left as None will not be updated. Parameters ---------- x, y : float or None, default: None The x and y coordinates of the arrow base. dx, dy : float or None, default: None The length of the arrow along x and y direction. width : float or None, default: None Width of full arrow tail. head_width : float or None, default: None Total width of the full arrow head. head_length : float or None, default: None Length of arrow head. """ if x is not None: self._x = x if y is not None: self._y = y if dx is not None: self._dx = dx if dy is not None: self._dy = dy if width is not None: self._width = width if head_width is not None: self._head_width = head_width if head_length is not None: self._head_length = head_length self._make_verts() self.set_xy(self.verts) def _make_verts(self): if self._head_width is None: head_width = 3 * self._width else: head_width = self._head_width if self._head_length is None: head_length = 1.5 * head_width else: head_length = self._head_length distance = np.hypot(self._dx, self._dy) if self._length_includes_head: length = distance else: length = distance + head_length if not length: self.verts = np.empty([0, 2]) # display nothing if empty else: # start by drawing horizontal arrow, point at (0, 0) hw, hl = head_width, head_length hs, lw = self._overhang, self._width left_half_arrow = np.array([ [0.0, 0.0], # tip [-hl, -hw / 2], # leftmost [-hl * (1 - hs), -lw / 2], # meets stem [-length, -lw / 2], # bottom left [-length, 0], ]) # if we're not including the head, shift up by head length if not self._length_includes_head: left_half_arrow += [head_length, 0] # if the head starts at 0, shift up by another head length if self._head_starts_at_zero: left_half_arrow += [head_length / 2, 0] # figure out the shape, and complete accordingly if self._shape == 'left': coords = left_half_arrow else: right_half_arrow = left_half_arrow * [1, -1] if self._shape == 'right': coords = right_half_arrow elif self._shape == 'full': # The half-arrows contain the midpoint of the stem, # which we can omit from the full arrow. Including it # twice caused a problem with xpdf. coords = np.concatenate([left_half_arrow[:-1], right_half_arrow[-2::-1]]) else: raise ValueError(f"Got unknown shape: {self._shape!r}") if distance != 0: cx = self._dx / distance sx = self._dy / distance else: # Account for division by zero cx, sx = 0, 1 M = [[cx, sx], [-sx, cx]] self.verts = np.dot(coords, M) + [ self._x + self._dx, self._y + self._dy, ] _docstring.interpd.update( FancyArrow="\n".join( (inspect.getdoc(FancyArrow.__init__) or "").splitlines()[2:])) class CirclePolygon(RegularPolygon): """A polygon-approximation of a circle patch.""" def __str__(self): s = "CirclePolygon((%g, %g), radius=%g, resolution=%d)" return s % (self.xy[0], self.xy[1], self.radius, self.numvertices) @_docstring.dedent_interpd def __init__(self, xy, radius=5, *, resolution=20, # the number of vertices ** kwargs): """ Create a circle at *xy* = (*x*, *y*) with given *radius*. This circle is approximated by a regular polygon with *resolution* sides. For a smoother circle drawn with splines, see `Circle`. Valid keyword arguments are: %(Patch:kwdoc)s """ super().__init__( xy, resolution, radius=radius, orientation=0, **kwargs) class Ellipse(Patch): """A scale-free ellipse.""" def __str__(self): pars = (self._center[0], self._center[1], self.width, self.height, self.angle) fmt = "Ellipse(xy=(%s, %s), width=%s, height=%s, angle=%s)" return fmt % pars @_docstring.dedent_interpd def __init__(self, xy, width, height, *, angle=0, **kwargs): """ Parameters ---------- xy : (float, float) xy coordinates of ellipse centre. width : float Total length (diameter) of horizontal axis. height : float Total length (diameter) of vertical axis. angle : float, default: 0 Rotation in degrees anti-clockwise. Notes ----- Valid keyword arguments are: %(Patch:kwdoc)s """ super().__init__(**kwargs) self._center = xy self._width, self._height = width, height self._angle = angle self._path = Path.unit_circle() # Required for EllipseSelector with axes aspect ratio != 1 # The patch is defined in data coordinates and when changing the # selector with square modifier and not in data coordinates, we need # to correct for the aspect ratio difference between the data and # display coordinate systems. self._aspect_ratio_correction = 1.0 # Note: This cannot be calculated until this is added to an Axes self._patch_transform = transforms.IdentityTransform() def _recompute_transform(self): """ Notes ----- This cannot be called until after this has been added to an Axes, otherwise unit conversion will fail. This makes it very important to call the accessor method and not directly access the transformation member variable. """ center = (self.convert_xunits(self._center[0]), self.convert_yunits(self._center[1])) width = self.convert_xunits(self._width) height = self.convert_yunits(self._height) self._patch_transform = transforms.Affine2D() \ .scale(width * 0.5, height * 0.5 * self._aspect_ratio_correction) \ .rotate_deg(self.angle) \ .scale(1, 1 / self._aspect_ratio_correction) \ .translate(*center) def get_path(self): """Return the path of the ellipse.""" return self._path def get_patch_transform(self): self._recompute_transform() return self._patch_transform def set_center(self, xy): """ Set the center of the ellipse. Parameters ---------- xy : (float, float) """ self._center = xy self.stale = True def get_center(self): """Return the center of the ellipse.""" return self._center center = property(get_center, set_center) def set_width(self, width): """ Set the width of the ellipse. Parameters ---------- width : float """ self._width = width self.stale = True def get_width(self): """ Return the width of the ellipse. """ return self._width width = property(get_width, set_width) def set_height(self, height): """ Set the height of the ellipse. Parameters ---------- height : float """ self._height = height self.stale = True def get_height(self): """Return the height of the ellipse.""" return self._height height = property(get_height, set_height) def set_angle(self, angle): """ Set the angle of the ellipse. Parameters ---------- angle : float """ self._angle = angle self.stale = True def get_angle(self): """Return the angle of the ellipse.""" return self._angle angle = property(get_angle, set_angle) def get_corners(self): """ Return the corners of the ellipse bounding box. The bounding box orientation is moving anti-clockwise from the lower left corner defined before rotation. """ return self.get_patch_transform().transform( [(-1, -1), (1, -1), (1, 1), (-1, 1)]) def get_vertices(self): """ Return the vertices coordinates of the ellipse. The definition can be found `here `_ .. versionadded:: 3.8 """ if self.width < self.height: ret = self.get_patch_transform().transform([(0, 1), (0, -1)]) else: ret = self.get_patch_transform().transform([(1, 0), (-1, 0)]) return [tuple(x) for x in ret] def get_co_vertices(self): """ Return the co-vertices coordinates of the ellipse. The definition can be found `here `_ .. versionadded:: 3.8 """ if self.width < self.height: ret = self.get_patch_transform().transform([(1, 0), (-1, 0)]) else: ret = self.get_patch_transform().transform([(0, 1), (0, -1)]) return [tuple(x) for x in ret] class Annulus(Patch): """ An elliptical annulus. """ @_docstring.dedent_interpd def __init__(self, xy, r, width, angle=0.0, **kwargs): """ Parameters ---------- xy : (float, float) xy coordinates of annulus centre. r : float or (float, float) The radius, or semi-axes: - If float: radius of the outer circle. - If two floats: semi-major and -minor axes of outer ellipse. width : float Width (thickness) of the annular ring. The width is measured inward from the outer ellipse so that for the inner ellipse the semi-axes are given by ``r - width``. *width* must be less than or equal to the semi-minor axis. angle : float, default: 0 Rotation angle in degrees (anti-clockwise from the positive x-axis). Ignored for circular annuli (i.e., if *r* is a scalar). **kwargs Keyword arguments control the `Patch` properties: %(Patch:kwdoc)s """ super().__init__(**kwargs) self.set_radii(r) self.center = xy self.width = width self.angle = angle self._path = None def __str__(self): if self.a == self.b: r = self.a else: r = (self.a, self.b) return "Annulus(xy=(%s, %s), r=%s, width=%s, angle=%s)" % \ (*self.center, r, self.width, self.angle) def set_center(self, xy): """ Set the center of the annulus. Parameters ---------- xy : (float, float) """ self._center = xy self._path = None self.stale = True def get_center(self): """Return the center of the annulus.""" return self._center center = property(get_center, set_center) def set_width(self, width): """ Set the width (thickness) of the annulus ring. The width is measured inwards from the outer ellipse. Parameters ---------- width : float """ if min(self.a, self.b) <= width: raise ValueError( 'Width of annulus must be less than or equal semi-minor axis') self._width = width self._path = None self.stale = True def get_width(self): """Return the width (thickness) of the annulus ring.""" return self._width width = property(get_width, set_width) def set_angle(self, angle): """ Set the tilt angle of the annulus. Parameters ---------- angle : float """ self._angle = angle self._path = None self.stale = True def get_angle(self): """Return the angle of the annulus.""" return self._angle angle = property(get_angle, set_angle) def set_semimajor(self, a): """ Set the semi-major axis *a* of the annulus. Parameters ---------- a : float """ self.a = float(a) self._path = None self.stale = True def set_semiminor(self, b): """ Set the semi-minor axis *b* of the annulus. Parameters ---------- b : float """ self.b = float(b) self._path = None self.stale = True def set_radii(self, r): """ Set the semi-major (*a*) and semi-minor radii (*b*) of the annulus. Parameters ---------- r : float or (float, float) The radius, or semi-axes: - If float: radius of the outer circle. - If two floats: semi-major and -minor axes of outer ellipse. """ if np.shape(r) == (2,): self.a, self.b = r elif np.shape(r) == (): self.a = self.b = float(r) else: raise ValueError("Parameter 'r' must be one or two floats.") self._path = None self.stale = True def get_radii(self): """Return the semi-major and semi-minor radii of the annulus.""" return self.a, self.b radii = property(get_radii, set_radii) def _transform_verts(self, verts, a, b): return transforms.Affine2D() \ .scale(*self._convert_xy_units((a, b))) \ .rotate_deg(self.angle) \ .translate(*self._convert_xy_units(self.center)) \ .transform(verts) def _recompute_path(self): # circular arc arc = Path.arc(0, 360) # annulus needs to draw an outer ring # followed by a reversed and scaled inner ring a, b, w = self.a, self.b, self.width v1 = self._transform_verts(arc.vertices, a, b) v2 = self._transform_verts(arc.vertices[::-1], a - w, b - w) v = np.vstack([v1, v2, v1[0, :], (0, 0)]) c = np.hstack([arc.codes, Path.MOVETO, arc.codes[1:], Path.MOVETO, Path.CLOSEPOLY]) self._path = Path(v, c) def get_path(self): if self._path is None: self._recompute_path() return self._path class Circle(Ellipse): """ A circle patch. """ def __str__(self): pars = self.center[0], self.center[1], self.radius fmt = "Circle(xy=(%g, %g), radius=%g)" return fmt % pars @_docstring.dedent_interpd def __init__(self, xy, radius=5, **kwargs): """ Create a true circle at center *xy* = (*x*, *y*) with given *radius*. Unlike `CirclePolygon` which is a polygonal approximation, this uses Bezier splines and is much closer to a scale-free circle. Valid keyword arguments are: %(Patch:kwdoc)s """ super().__init__(xy, radius * 2, radius * 2, **kwargs) self.radius = radius def set_radius(self, radius): """ Set the radius of the circle. Parameters ---------- radius : float """ self.width = self.height = 2 * radius self.stale = True def get_radius(self): """Return the radius of the circle.""" return self.width / 2. radius = property(get_radius, set_radius) class Arc(Ellipse): """ An elliptical arc, i.e. a segment of an ellipse. Due to internal optimizations, the arc cannot be filled. """ def __str__(self): pars = (self.center[0], self.center[1], self.width, self.height, self.angle, self.theta1, self.theta2) fmt = ("Arc(xy=(%g, %g), width=%g, " "height=%g, angle=%g, theta1=%g, theta2=%g)") return fmt % pars @_docstring.dedent_interpd def __init__(self, xy, width, height, *, angle=0.0, theta1=0.0, theta2=360.0, **kwargs): """ Parameters ---------- xy : (float, float) The center of the ellipse. width : float The length of the horizontal axis. height : float The length of the vertical axis. angle : float Rotation of the ellipse in degrees (counterclockwise). theta1, theta2 : float, default: 0, 360 Starting and ending angles of the arc in degrees. These values are relative to *angle*, e.g. if *angle* = 45 and *theta1* = 90 the absolute starting angle is 135. Default *theta1* = 0, *theta2* = 360, i.e. a complete ellipse. The arc is drawn in the counterclockwise direction. Angles greater than or equal to 360, or smaller than 0, are represented by an equivalent angle in the range [0, 360), by taking the input value mod 360. Other Parameters ---------------- **kwargs : `~matplotlib.patches.Patch` properties Most `.Patch` properties are supported as keyword arguments, except *fill* and *facecolor* because filling is not supported. %(Patch:kwdoc)s """ fill = kwargs.setdefault('fill', False) if fill: raise ValueError("Arc objects cannot be filled") super().__init__(xy, width, height, angle=angle, **kwargs) self.theta1 = theta1 self.theta2 = theta2 (self._theta1, self._theta2, self._stretched_width, self._stretched_height) = self._theta_stretch() self._path = Path.arc(self._theta1, self._theta2) @artist.allow_rasterization def draw(self, renderer): """ Draw the arc to the given *renderer*. Notes ----- Ellipses are normally drawn using an approximation that uses eight cubic Bezier splines. The error of this approximation is 1.89818e-6, according to this unverified source: Lancaster, Don. *Approximating a Circle or an Ellipse Using Four Bezier Cubic Splines.* https://www.tinaja.com/glib/ellipse4.pdf There is a use case where very large ellipses must be drawn with very high accuracy, and it is too expensive to render the entire ellipse with enough segments (either splines or line segments). Therefore, in the case where either radius of the ellipse is large enough that the error of the spline approximation will be visible (greater than one pixel offset from the ideal), a different technique is used. In that case, only the visible parts of the ellipse are drawn, with each visible arc using a fixed number of spline segments (8). The algorithm proceeds as follows: 1. The points where the ellipse intersects the axes (or figure) bounding box are located. (This is done by performing an inverse transformation on the bbox such that it is relative to the unit circle -- this makes the intersection calculation much easier than doing rotated ellipse intersection directly.) This uses the "line intersecting a circle" algorithm from: Vince, John. *Geometry for Computer Graphics: Formulae, Examples & Proofs.* London: Springer-Verlag, 2005. 2. The angles of each of the intersection points are calculated. 3. Proceeding counterclockwise starting in the positive x-direction, each of the visible arc-segments between the pairs of vertices are drawn using the Bezier arc approximation technique implemented in `.Path.arc`. """ if not self.get_visible(): return self._recompute_transform() self._update_path() # Get width and height in pixels we need to use # `self.get_data_transform` rather than `self.get_transform` # because we want the transform from dataspace to the # screen space to estimate how big the arc will be in physical # units when rendered (the transform that we get via # `self.get_transform()` goes from an idealized unit-radius # space to screen space). data_to_screen_trans = self.get_data_transform() pwidth, pheight = ( data_to_screen_trans.transform((self._stretched_width, self._stretched_height)) - data_to_screen_trans.transform((0, 0))) inv_error = (1.0 / 1.89818e-6) * 0.5 if pwidth < inv_error and pheight < inv_error: return Patch.draw(self, renderer) def line_circle_intersect(x0, y0, x1, y1): dx = x1 - x0 dy = y1 - y0 dr2 = dx * dx + dy * dy D = x0 * y1 - x1 * y0 D2 = D * D discrim = dr2 - D2 if discrim >= 0.0: sign_dy = np.copysign(1, dy) # +/-1, never 0. sqrt_discrim = np.sqrt(discrim) return np.array( [[(D * dy + sign_dy * dx * sqrt_discrim) / dr2, (-D * dx + abs(dy) * sqrt_discrim) / dr2], [(D * dy - sign_dy * dx * sqrt_discrim) / dr2, (-D * dx - abs(dy) * sqrt_discrim) / dr2]]) else: return np.empty((0, 2)) def segment_circle_intersect(x0, y0, x1, y1): epsilon = 1e-9 if x1 < x0: x0e, x1e = x1, x0 else: x0e, x1e = x0, x1 if y1 < y0: y0e, y1e = y1, y0 else: y0e, y1e = y0, y1 xys = line_circle_intersect(x0, y0, x1, y1) xs, ys = xys.T return xys[ (x0e - epsilon < xs) & (xs < x1e + epsilon) & (y0e - epsilon < ys) & (ys < y1e + epsilon) ] # Transform the axes (or figure) box_path so that it is relative to # the unit circle in the same way that it is relative to the desired # ellipse. box_path_transform = ( transforms.BboxTransformTo((self.axes or self.figure).bbox) - self.get_transform()) box_path = Path.unit_rectangle().transformed(box_path_transform) thetas = set() # For each of the point pairs, there is a line segment for p0, p1 in zip(box_path.vertices[:-1], box_path.vertices[1:]): xy = segment_circle_intersect(*p0, *p1) x, y = xy.T # arctan2 return [-pi, pi), the rest of our angles are in # [0, 360], adjust as needed. theta = (np.rad2deg(np.arctan2(y, x)) + 360) % 360 thetas.update( theta[(self._theta1 < theta) & (theta < self._theta2)]) thetas = sorted(thetas) + [self._theta2] last_theta = self._theta1 theta1_rad = np.deg2rad(self._theta1) inside = box_path.contains_point( (np.cos(theta1_rad), np.sin(theta1_rad)) ) # save original path path_original = self._path for theta in thetas: if inside: self._path = Path.arc(last_theta, theta, 8) Patch.draw(self, renderer) inside = False else: inside = True last_theta = theta # restore original path self._path = path_original def _update_path(self): # Compute new values and update and set new _path if any value changed stretched = self._theta_stretch() if any(a != b for a, b in zip( stretched, (self._theta1, self._theta2, self._stretched_width, self._stretched_height))): (self._theta1, self._theta2, self._stretched_width, self._stretched_height) = stretched self._path = Path.arc(self._theta1, self._theta2) def _theta_stretch(self): # If the width and height of ellipse are not equal, take into account # stretching when calculating angles to draw between def theta_stretch(theta, scale): theta = np.deg2rad(theta) x = np.cos(theta) y = np.sin(theta) stheta = np.rad2deg(np.arctan2(scale * y, x)) # arctan2 has the range [-pi, pi], we expect [0, 2*pi] return (stheta + 360) % 360 width = self.convert_xunits(self.width) height = self.convert_yunits(self.height) if ( # if we need to stretch the angles because we are distorted width != height # and we are not doing a full circle. # # 0 and 360 do not exactly round-trip through the angle # stretching (due to both float precision limitations and # the difference between the range of arctan2 [-pi, pi] and # this method [0, 360]) so avoid doing it if we don't have to. and not (self.theta1 != self.theta2 and self.theta1 % 360 == self.theta2 % 360) ): theta1 = theta_stretch(self.theta1, width / height) theta2 = theta_stretch(self.theta2, width / height) return theta1, theta2, width, height return self.theta1, self.theta2, width, height def bbox_artist(artist, renderer, props=None, fill=True): """ A debug function to draw a rectangle around the bounding box returned by an artist's `.Artist.get_window_extent` to test whether the artist is returning the correct bbox. *props* is a dict of rectangle props with the additional property 'pad' that sets the padding around the bbox in points. """ if props is None: props = {} props = props.copy() # don't want to alter the pad externally pad = props.pop('pad', 4) pad = renderer.points_to_pixels(pad) bbox = artist.get_window_extent(renderer) r = Rectangle( xy=(bbox.x0 - pad / 2, bbox.y0 - pad / 2), width=bbox.width + pad, height=bbox.height + pad, fill=fill, transform=transforms.IdentityTransform(), clip_on=False) r.update(props) r.draw(renderer) def draw_bbox(bbox, renderer, color='k', trans=None): """ A debug function to draw a rectangle around the bounding box returned by an artist's `.Artist.get_window_extent` to test whether the artist is returning the correct bbox. """ r = Rectangle(xy=bbox.p0, width=bbox.width, height=bbox.height, edgecolor=color, fill=False, clip_on=False) if trans is not None: r.set_transform(trans) r.draw(renderer) class _Style: """ A base class for the Styles. It is meant to be a container class, where actual styles are declared as subclass of it, and it provides some helper functions. """ def __init_subclass__(cls): # Automatically perform docstring interpolation on the subclasses: # This allows listing the supported styles via # - %(BoxStyle:table)s # - %(ConnectionStyle:table)s # - %(ArrowStyle:table)s # and additionally adding .. ACCEPTS: blocks via # - %(BoxStyle:table_and_accepts)s # - %(ConnectionStyle:table_and_accepts)s # - %(ArrowStyle:table_and_accepts)s _docstring.interpd.update({ f"{cls.__name__}:table": cls.pprint_styles(), f"{cls.__name__}:table_and_accepts": ( cls.pprint_styles() + "\n\n .. ACCEPTS: [" + "|".join(map(" '{}' ".format, cls._style_list)) + "]") }) def __new__(cls, stylename, **kwargs): """Return the instance of the subclass with the given style name.""" # The "class" should have the _style_list attribute, which is a mapping # of style names to style classes. _list = stylename.replace(" ", "").split(",") _name = _list[0].lower() try: _cls = cls._style_list[_name] except KeyError as err: raise ValueError(f"Unknown style: {stylename!r}") from err try: _args_pair = [cs.split("=") for cs in _list[1:]] _args = {k: float(v) for k, v in _args_pair} except ValueError as err: raise ValueError( f"Incorrect style argument: {stylename!r}") from err return _cls(**{**_args, **kwargs}) @classmethod def get_styles(cls): """Return a dictionary of available styles.""" return cls._style_list @classmethod def pprint_styles(cls): """Return the available styles as pretty-printed string.""" table = [('Class', 'Name', 'Attrs'), *[(cls.__name__, # Add backquotes, as - and | have special meaning in reST. f'``{name}``', # [1:-1] drops the surrounding parentheses. str(inspect.signature(cls))[1:-1] or 'None') for name, cls in cls._style_list.items()]] # Convert to rst table. col_len = [max(len(cell) for cell in column) for column in zip(*table)] table_formatstr = ' '.join('=' * cl for cl in col_len) rst_table = '\n'.join([ '', table_formatstr, ' '.join(cell.ljust(cl) for cell, cl in zip(table[0], col_len)), table_formatstr, *[' '.join(cell.ljust(cl) for cell, cl in zip(row, col_len)) for row in table[1:]], table_formatstr, ]) return textwrap.indent(rst_table, prefix=' ' * 4) @classmethod def register(cls, name, style): """Register a new style.""" if not issubclass(style, cls._Base): raise ValueError(f"{style} must be a subclass of {cls._Base}") cls._style_list[name] = style def _register_style(style_list, cls=None, *, name=None): """Class decorator that stashes a class in a (style) dictionary.""" if cls is None: return functools.partial(_register_style, style_list, name=name) style_list[name or cls.__name__.lower()] = cls return cls @_docstring.dedent_interpd class BoxStyle(_Style): """ `BoxStyle` is a container class which defines several boxstyle classes, which are used for `FancyBboxPatch`. A style object can be created as:: BoxStyle.Round(pad=0.2) or:: BoxStyle("Round", pad=0.2) or:: BoxStyle("Round, pad=0.2") The following boxstyle classes are defined. %(BoxStyle:table)s An instance of a boxstyle class is a callable object, with the signature :: __call__(self, x0, y0, width, height, mutation_size) -> Path *x0*, *y0*, *width* and *height* specify the location and size of the box to be drawn; *mutation_size* scales the outline properties such as padding. """ _style_list = {} @_register_style(_style_list) class Square: """A square box.""" def __init__(self, pad=0.3): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. """ self.pad = pad def __call__(self, x0, y0, width, height, mutation_size): pad = mutation_size * self.pad # width and height with padding added. width, height = width + 2 * pad, height + 2 * pad # boundary of the padded box x0, y0 = x0 - pad, y0 - pad x1, y1 = x0 + width, y0 + height return Path._create_closed( [(x0, y0), (x1, y0), (x1, y1), (x0, y1)]) @_register_style(_style_list) class Circle: """A circular box.""" def __init__(self, pad=0.3): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. """ self.pad = pad def __call__(self, x0, y0, width, height, mutation_size): pad = mutation_size * self.pad width, height = width + 2 * pad, height + 2 * pad # boundary of the padded box x0, y0 = x0 - pad, y0 - pad return Path.circle((x0 + width / 2, y0 + height / 2), max(width, height) / 2) @_register_style(_style_list) class Ellipse: """ An elliptical box. .. versionadded:: 3.7 """ def __init__(self, pad=0.3): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. """ self.pad = pad def __call__(self, x0, y0, width, height, mutation_size): pad = mutation_size * self.pad width, height = width + 2 * pad, height + 2 * pad # boundary of the padded box x0, y0 = x0 - pad, y0 - pad a = width / math.sqrt(2) b = height / math.sqrt(2) trans = Affine2D().scale(a, b).translate(x0 + width / 2, y0 + height / 2) return trans.transform_path(Path.unit_circle()) @_register_style(_style_list) class LArrow: """A box in the shape of a left-pointing arrow.""" def __init__(self, pad=0.3): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. """ self.pad = pad def __call__(self, x0, y0, width, height, mutation_size): # padding pad = mutation_size * self.pad # width and height with padding added. width, height = width + 2 * pad, height + 2 * pad # boundary of the padded box x0, y0 = x0 - pad, y0 - pad, x1, y1 = x0 + width, y0 + height dx = (y1 - y0) / 2 dxx = dx / 2 x0 = x0 + pad / 1.4 # adjust by ~sqrt(2) return Path._create_closed( [(x0 + dxx, y0), (x1, y0), (x1, y1), (x0 + dxx, y1), (x0 + dxx, y1 + dxx), (x0 - dx, y0 + dx), (x0 + dxx, y0 - dxx), # arrow (x0 + dxx, y0)]) @_register_style(_style_list) class RArrow(LArrow): """A box in the shape of a right-pointing arrow.""" def __call__(self, x0, y0, width, height, mutation_size): p = BoxStyle.LArrow.__call__( self, x0, y0, width, height, mutation_size) p.vertices[:, 0] = 2 * x0 + width - p.vertices[:, 0] return p @_register_style(_style_list) class DArrow: """A box in the shape of a two-way arrow.""" # Modified from LArrow to add a right arrow to the bbox. def __init__(self, pad=0.3): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. """ self.pad = pad def __call__(self, x0, y0, width, height, mutation_size): # padding pad = mutation_size * self.pad # width and height with padding added. # The width is padded by the arrows, so we don't need to pad it. height = height + 2 * pad # boundary of the padded box x0, y0 = x0 - pad, y0 - pad x1, y1 = x0 + width, y0 + height dx = (y1 - y0) / 2 dxx = dx / 2 x0 = x0 + pad / 1.4 # adjust by ~sqrt(2) return Path._create_closed([ (x0 + dxx, y0), (x1, y0), # bot-segment (x1, y0 - dxx), (x1 + dx + dxx, y0 + dx), (x1, y1 + dxx), # right-arrow (x1, y1), (x0 + dxx, y1), # top-segment (x0 + dxx, y1 + dxx), (x0 - dx, y0 + dx), (x0 + dxx, y0 - dxx), # left-arrow (x0 + dxx, y0)]) @_register_style(_style_list) class Round: """A box with round corners.""" def __init__(self, pad=0.3, rounding_size=None): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. rounding_size : float, default: *pad* Radius of the corners. """ self.pad = pad self.rounding_size = rounding_size def __call__(self, x0, y0, width, height, mutation_size): # padding pad = mutation_size * self.pad # size of the rounding corner if self.rounding_size: dr = mutation_size * self.rounding_size else: dr = pad width, height = width + 2 * pad, height + 2 * pad x0, y0 = x0 - pad, y0 - pad, x1, y1 = x0 + width, y0 + height # Round corners are implemented as quadratic Bezier, e.g., # [(x0, y0-dr), (x0, y0), (x0+dr, y0)] for lower left corner. cp = [(x0 + dr, y0), (x1 - dr, y0), (x1, y0), (x1, y0 + dr), (x1, y1 - dr), (x1, y1), (x1 - dr, y1), (x0 + dr, y1), (x0, y1), (x0, y1 - dr), (x0, y0 + dr), (x0, y0), (x0 + dr, y0), (x0 + dr, y0)] com = [Path.MOVETO, Path.LINETO, Path.CURVE3, Path.CURVE3, Path.LINETO, Path.CURVE3, Path.CURVE3, Path.LINETO, Path.CURVE3, Path.CURVE3, Path.LINETO, Path.CURVE3, Path.CURVE3, Path.CLOSEPOLY] return Path(cp, com) @_register_style(_style_list) class Round4: """A box with rounded edges.""" def __init__(self, pad=0.3, rounding_size=None): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. rounding_size : float, default: *pad*/2 Rounding of edges. """ self.pad = pad self.rounding_size = rounding_size def __call__(self, x0, y0, width, height, mutation_size): # padding pad = mutation_size * self.pad # Rounding size; defaults to half of the padding. if self.rounding_size: dr = mutation_size * self.rounding_size else: dr = pad / 2. width = width + 2 * pad - 2 * dr height = height + 2 * pad - 2 * dr x0, y0 = x0 - pad + dr, y0 - pad + dr, x1, y1 = x0 + width, y0 + height cp = [(x0, y0), (x0 + dr, y0 - dr), (x1 - dr, y0 - dr), (x1, y0), (x1 + dr, y0 + dr), (x1 + dr, y1 - dr), (x1, y1), (x1 - dr, y1 + dr), (x0 + dr, y1 + dr), (x0, y1), (x0 - dr, y1 - dr), (x0 - dr, y0 + dr), (x0, y0), (x0, y0)] com = [Path.MOVETO, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CURVE4, Path.CLOSEPOLY] return Path(cp, com) @_register_style(_style_list) class Sawtooth: """A box with a sawtooth outline.""" def __init__(self, pad=0.3, tooth_size=None): """ Parameters ---------- pad : float, default: 0.3 The amount of padding around the original box. tooth_size : float, default: *pad*/2 Size of the sawtooth. """ self.pad = pad self.tooth_size = tooth_size def _get_sawtooth_vertices(self, x0, y0, width, height, mutation_size): # padding pad = mutation_size * self.pad # size of sawtooth if self.tooth_size is None: tooth_size = self.pad * .5 * mutation_size else: tooth_size = self.tooth_size * mutation_size hsz = tooth_size / 2 width = width + 2 * pad - tooth_size height = height + 2 * pad - tooth_size # the sizes of the vertical and horizontal sawtooth are # separately adjusted to fit the given box size. dsx_n = round((width - tooth_size) / (tooth_size * 2)) * 2 dsy_n = round((height - tooth_size) / (tooth_size * 2)) * 2 x0, y0 = x0 - pad + hsz, y0 - pad + hsz x1, y1 = x0 + width, y0 + height xs = [ x0, *np.linspace(x0 + hsz, x1 - hsz, 2 * dsx_n + 1), # bottom *([x1, x1 + hsz, x1, x1 - hsz] * dsy_n)[:2*dsy_n+2], # right x1, *np.linspace(x1 - hsz, x0 + hsz, 2 * dsx_n + 1), # top *([x0, x0 - hsz, x0, x0 + hsz] * dsy_n)[:2*dsy_n+2], # left ] ys = [ *([y0, y0 - hsz, y0, y0 + hsz] * dsx_n)[:2*dsx_n+2], # bottom y0, *np.linspace(y0 + hsz, y1 - hsz, 2 * dsy_n + 1), # right *([y1, y1 + hsz, y1, y1 - hsz] * dsx_n)[:2*dsx_n+2], # top y1, *np.linspace(y1 - hsz, y0 + hsz, 2 * dsy_n + 1), # left ] return [*zip(xs, ys), (xs[0], ys[0])] def __call__(self, x0, y0, width, height, mutation_size): saw_vertices = self._get_sawtooth_vertices(x0, y0, width, height, mutation_size) return Path(saw_vertices, closed=True) @_register_style(_style_list) class Roundtooth(Sawtooth): """A box with a rounded sawtooth outline.""" def __call__(self, x0, y0, width, height, mutation_size): saw_vertices = self._get_sawtooth_vertices(x0, y0, width, height, mutation_size) # Add a trailing vertex to allow us to close the polygon correctly saw_vertices = np.concatenate([saw_vertices, [saw_vertices[0]]]) codes = ([Path.MOVETO] + [Path.CURVE3, Path.CURVE3] * ((len(saw_vertices)-1)//2) + [Path.CLOSEPOLY]) return Path(saw_vertices, codes) @_docstring.dedent_interpd class ConnectionStyle(_Style): """ `ConnectionStyle` is a container class which defines several connectionstyle classes, which is used to create a path between two points. These are mainly used with `FancyArrowPatch`. A connectionstyle object can be either created as:: ConnectionStyle.Arc3(rad=0.2) or:: ConnectionStyle("Arc3", rad=0.2) or:: ConnectionStyle("Arc3, rad=0.2") The following classes are defined %(ConnectionStyle:table)s An instance of any connection style class is a callable object, whose call signature is:: __call__(self, posA, posB, patchA=None, patchB=None, shrinkA=2., shrinkB=2.) and it returns a `.Path` instance. *posA* and *posB* are tuples of (x, y) coordinates of the two points to be connected. *patchA* (or *patchB*) is given, the returned path is clipped so that it start (or end) from the boundary of the patch. The path is further shrunk by *shrinkA* (or *shrinkB*) which is given in points. """ _style_list = {} class _Base: """ A base class for connectionstyle classes. The subclass needs to implement a *connect* method whose call signature is:: connect(posA, posB) where posA and posB are tuples of x, y coordinates to be connected. The method needs to return a path connecting two points. This base class defines a __call__ method, and a few helper methods. """ @_api.deprecated("3.7") class SimpleEvent: def __init__(self, xy): self.x, self.y = xy def _in_patch(self, patch): """ Return a predicate function testing whether a point *xy* is contained in *patch*. """ return lambda xy: patch.contains( SimpleNamespace(x=xy[0], y=xy[1]))[0] def _clip(self, path, in_start, in_stop): """ Clip *path* at its start by the region where *in_start* returns True, and at its stop by the region where *in_stop* returns True. The original path is assumed to start in the *in_start* region and to stop in the *in_stop* region. """ if in_start: try: _, path = split_path_inout(path, in_start) except ValueError: pass if in_stop: try: path, _ = split_path_inout(path, in_stop) except ValueError: pass return path def __call__(self, posA, posB, shrinkA=2., shrinkB=2., patchA=None, patchB=None): """ Call the *connect* method to create a path between *posA* and *posB*; then clip and shrink the path. """ path = self.connect(posA, posB) path = self._clip( path, self._in_patch(patchA) if patchA else None, self._in_patch(patchB) if patchB else None, ) path = self._clip( path, inside_circle(*path.vertices[0], shrinkA) if shrinkA else None, inside_circle(*path.vertices[-1], shrinkB) if shrinkB else None ) return path @_register_style(_style_list) class Arc3(_Base): """ Creates a simple quadratic Bézier curve between two points. The curve is created so that the middle control point (C1) is located at the same distance from the start (C0) and end points(C2) and the distance of the C1 to the line connecting C0-C2 is *rad* times the distance of C0-C2. """ def __init__(self, rad=0.): """ Parameters ---------- rad : float Curvature of the curve. """ self.rad = rad def connect(self, posA, posB): x1, y1 = posA x2, y2 = posB x12, y12 = (x1 + x2) / 2., (y1 + y2) / 2. dx, dy = x2 - x1, y2 - y1 f = self.rad cx, cy = x12 + f * dy, y12 - f * dx vertices = [(x1, y1), (cx, cy), (x2, y2)] codes = [Path.MOVETO, Path.CURVE3, Path.CURVE3] return Path(vertices, codes) @_register_style(_style_list) class Angle3(_Base): """ Creates a simple quadratic Bézier curve between two points. The middle control point is placed at the intersecting point of two lines which cross the start and end point, and have a slope of *angleA* and *angleB*, respectively. """ def __init__(self, angleA=90, angleB=0): """ Parameters ---------- angleA : float Starting angle of the path. angleB : float Ending angle of the path. """ self.angleA = angleA self.angleB = angleB def connect(self, posA, posB): x1, y1 = posA x2, y2 = posB cosA = math.cos(math.radians(self.angleA)) sinA = math.sin(math.radians(self.angleA)) cosB = math.cos(math.radians(self.angleB)) sinB = math.sin(math.radians(self.angleB)) cx, cy = get_intersection(x1, y1, cosA, sinA, x2, y2, cosB, sinB) vertices = [(x1, y1), (cx, cy), (x2, y2)] codes = [Path.MOVETO, Path.CURVE3, Path.CURVE3] return Path(vertices, codes) @_register_style(_style_list) class Angle(_Base): """ Creates a piecewise continuous quadratic Bézier path between two points. The path has a one passing-through point placed at the intersecting point of two lines which cross the start and end point, and have a slope of *angleA* and *angleB*, respectively. The connecting edges are rounded with *rad*. """ def __init__(self, angleA=90, angleB=0, rad=0.): """ Parameters ---------- angleA : float Starting angle of the path. angleB : float Ending angle of the path. rad : float Rounding radius of the edge. """ self.angleA = angleA self.angleB = angleB self.rad = rad def connect(self, posA, posB): x1, y1 = posA x2, y2 = posB cosA = math.cos(math.radians(self.angleA)) sinA = math.sin(math.radians(self.angleA)) cosB = math.cos(math.radians(self.angleB)) sinB = math.sin(math.radians(self.angleB)) cx, cy = get_intersection(x1, y1, cosA, sinA, x2, y2, cosB, sinB) vertices = [(x1, y1)] codes = [Path.MOVETO] if self.rad == 0.: vertices.append((cx, cy)) codes.append(Path.LINETO) else: dx1, dy1 = x1 - cx, y1 - cy d1 = np.hypot(dx1, dy1) f1 = self.rad / d1 dx2, dy2 = x2 - cx, y2 - cy d2 = np.hypot(dx2, dy2) f2 = self.rad / d2 vertices.extend([(cx + dx1 * f1, cy + dy1 * f1), (cx, cy), (cx + dx2 * f2, cy + dy2 * f2)]) codes.extend([Path.LINETO, Path.CURVE3, Path.CURVE3]) vertices.append((x2, y2)) codes.append(Path.LINETO) return Path(vertices, codes) @_register_style(_style_list) class Arc(_Base): """ Creates a piecewise continuous quadratic Bézier path between two points. The path can have two passing-through points, a point placed at the distance of *armA* and angle of *angleA* from point A, another point with respect to point B. The edges are rounded with *rad*. """ def __init__(self, angleA=0, angleB=0, armA=None, armB=None, rad=0.): """ Parameters ---------- angleA : float Starting angle of the path. angleB : float Ending angle of the path. armA : float or None Length of the starting arm. armB : float or None Length of the ending arm. rad : float Rounding radius of the edges. """ self.angleA = angleA self.angleB = angleB self.armA = armA self.armB = armB self.rad = rad def connect(self, posA, posB): x1, y1 = posA x2, y2 = posB vertices = [(x1, y1)] rounded = [] codes = [Path.MOVETO] if self.armA: cosA = math.cos(math.radians(self.angleA)) sinA = math.sin(math.radians(self.angleA)) # x_armA, y_armB d = self.armA - self.rad rounded.append((x1 + d * cosA, y1 + d * sinA)) d = self.armA rounded.append((x1 + d * cosA, y1 + d * sinA)) if self.armB: cosB = math.cos(math.radians(self.angleB)) sinB = math.sin(math.radians(self.angleB)) x_armB, y_armB = x2 + self.armB * cosB, y2 + self.armB * sinB if rounded: xp, yp = rounded[-1] dx, dy = x_armB - xp, y_armB - yp dd = (dx * dx + dy * dy) ** .5 rounded.append((xp + self.rad * dx / dd, yp + self.rad * dy / dd)) vertices.extend(rounded) codes.extend([Path.LINETO, Path.CURVE3, Path.CURVE3]) else: xp, yp = vertices[-1] dx, dy = x_armB - xp, y_armB - yp dd = (dx * dx + dy * dy) ** .5 d = dd - self.rad rounded = [(xp + d * dx / dd, yp + d * dy / dd), (x_armB, y_armB)] if rounded: xp, yp = rounded[-1] dx, dy = x2 - xp, y2 - yp dd = (dx * dx + dy * dy) ** .5 rounded.append((xp + self.rad * dx / dd, yp + self.rad * dy / dd)) vertices.extend(rounded) codes.extend([Path.LINETO, Path.CURVE3, Path.CURVE3]) vertices.append((x2, y2)) codes.append(Path.LINETO) return Path(vertices, codes) @_register_style(_style_list) class Bar(_Base): """ A line with *angle* between A and B with *armA* and *armB*. One of the arms is extended so that they are connected in a right angle. The length of *armA* is determined by (*armA* + *fraction* x AB distance). Same for *armB*. """ def __init__(self, armA=0., armB=0., fraction=0.3, angle=None): """ Parameters ---------- armA : float Minimum length of armA. armB : float Minimum length of armB. fraction : float A fraction of the distance between two points that will be added to armA and armB. angle : float or None Angle of the connecting line (if None, parallel to A and B). """ self.armA = armA self.armB = armB self.fraction = fraction self.angle = angle def connect(self, posA, posB): x1, y1 = posA x20, y20 = x2, y2 = posB theta1 = math.atan2(y2 - y1, x2 - x1) dx, dy = x2 - x1, y2 - y1 dd = (dx * dx + dy * dy) ** .5 ddx, ddy = dx / dd, dy / dd armA, armB = self.armA, self.armB if self.angle is not None: theta0 = np.deg2rad(self.angle) dtheta = theta1 - theta0 dl = dd * math.sin(dtheta) dL = dd * math.cos(dtheta) x2, y2 = x1 + dL * math.cos(theta0), y1 + dL * math.sin(theta0) armB = armB - dl # update dx, dy = x2 - x1, y2 - y1 dd2 = (dx * dx + dy * dy) ** .5 ddx, ddy = dx / dd2, dy / dd2 arm = max(armA, armB) f = self.fraction * dd + arm cx1, cy1 = x1 + f * ddy, y1 - f * ddx cx2, cy2 = x2 + f * ddy, y2 - f * ddx vertices = [(x1, y1), (cx1, cy1), (cx2, cy2), (x20, y20)] codes = [Path.MOVETO, Path.LINETO, Path.LINETO, Path.LINETO] return Path(vertices, codes) def _point_along_a_line(x0, y0, x1, y1, d): """ Return the point on the line connecting (*x0*, *y0*) -- (*x1*, *y1*) whose distance from (*x0*, *y0*) is *d*. """ dx, dy = x0 - x1, y0 - y1 ff = d / (dx * dx + dy * dy) ** .5 x2, y2 = x0 - ff * dx, y0 - ff * dy return x2, y2 @_docstring.dedent_interpd class ArrowStyle(_Style): """ `ArrowStyle` is a container class which defines several arrowstyle classes, which is used to create an arrow path along a given path. These are mainly used with `FancyArrowPatch`. An arrowstyle object can be either created as:: ArrowStyle.Fancy(head_length=.4, head_width=.4, tail_width=.4) or:: ArrowStyle("Fancy", head_length=.4, head_width=.4, tail_width=.4) or:: ArrowStyle("Fancy, head_length=.4, head_width=.4, tail_width=.4") The following classes are defined %(ArrowStyle:table)s For an overview of the visual appearance, see :doc:`/gallery/text_labels_and_annotations/fancyarrow_demo`. An instance of any arrow style class is a callable object, whose call signature is:: __call__(self, path, mutation_size, linewidth, aspect_ratio=1.) and it returns a tuple of a `.Path` instance and a boolean value. *path* is a `.Path` instance along which the arrow will be drawn. *mutation_size* and *aspect_ratio* have the same meaning as in `BoxStyle`. *linewidth* is a line width to be stroked. This is meant to be used to correct the location of the head so that it does not overshoot the destination point, but not all classes support it. Notes ----- *angleA* and *angleB* specify the orientation of the bracket, as either a clockwise or counterclockwise angle depending on the arrow type. 0 degrees means perpendicular to the line connecting the arrow's head and tail. .. plot:: gallery/text_labels_and_annotations/angles_on_bracket_arrows.py """ _style_list = {} class _Base: """ Arrow Transmuter Base class ArrowTransmuterBase and its derivatives are used to make a fancy arrow around a given path. The __call__ method returns a path (which will be used to create a PathPatch instance) and a boolean value indicating the path is open therefore is not fillable. This class is not an artist and actual drawing of the fancy arrow is done by the FancyArrowPatch class. """ # The derived classes are required to be able to be initialized # w/o arguments, i.e., all its argument (except self) must have # the default values. @staticmethod def ensure_quadratic_bezier(path): """ Some ArrowStyle classes only works with a simple quadratic Bézier curve (created with `.ConnectionStyle.Arc3` or `.ConnectionStyle.Angle3`). This static method checks if the provided path is a simple quadratic Bézier curve and returns its control points if true. """ segments = list(path.iter_segments()) if (len(segments) != 2 or segments[0][1] != Path.MOVETO or segments[1][1] != Path.CURVE3): raise ValueError( "'path' is not a valid quadratic Bezier curve") return [*segments[0][0], *segments[1][0]] def transmute(self, path, mutation_size, linewidth): """ The transmute method is the very core of the ArrowStyle class and must be overridden in the subclasses. It receives the *path* object along which the arrow will be drawn, and the *mutation_size*, with which the arrow head etc. will be scaled. The *linewidth* may be used to adjust the path so that it does not pass beyond the given points. It returns a tuple of a `.Path` instance and a boolean. The boolean value indicate whether the path can be filled or not. The return value can also be a list of paths and list of booleans of the same length. """ raise NotImplementedError('Derived must override') def __call__(self, path, mutation_size, linewidth, aspect_ratio=1.): """ The __call__ method is a thin wrapper around the transmute method and takes care of the aspect ratio. """ if aspect_ratio is not None: # Squeeze the given height by the aspect_ratio vertices = path.vertices / [1, aspect_ratio] path_shrunk = Path(vertices, path.codes) # call transmute method with squeezed height. path_mutated, fillable = self.transmute(path_shrunk, mutation_size, linewidth) if np.iterable(fillable): # Restore the height path_list = [Path(p.vertices * [1, aspect_ratio], p.codes) for p in path_mutated] return path_list, fillable else: return path_mutated, fillable else: return self.transmute(path, mutation_size, linewidth) class _Curve(_Base): """ A simple arrow which will work with any path instance. The returned path is the concatenation of the original path, and at most two paths representing the arrow head or bracket at the start point and at the end point. The arrow heads can be either open or closed. """ arrow = "-" fillbegin = fillend = False # Whether arrows are filled. def __init__(self, head_length=.4, head_width=.2, widthA=1., widthB=1., lengthA=0.2, lengthB=0.2, angleA=0, angleB=0, scaleA=None, scaleB=None): """ Parameters ---------- head_length : float, default: 0.4 Length of the arrow head, relative to *mutation_size*. head_width : float, default: 0.2 Width of the arrow head, relative to *mutation_size*. widthA, widthB : float, default: 1.0 Width of the bracket. lengthA, lengthB : float, default: 0.2 Length of the bracket. angleA, angleB : float, default: 0 Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. scaleA, scaleB : float, default: *mutation_size* The scale of the brackets. """ self.head_length, self.head_width = head_length, head_width self.widthA, self.widthB = widthA, widthB self.lengthA, self.lengthB = lengthA, lengthB self.angleA, self.angleB = angleA, angleB self.scaleA, self.scaleB = scaleA, scaleB self._beginarrow_head = False self._beginarrow_bracket = False self._endarrow_head = False self._endarrow_bracket = False if "-" not in self.arrow: raise ValueError("arrow must have the '-' between " "the two heads") beginarrow, endarrow = self.arrow.split("-", 1) if beginarrow == "<": self._beginarrow_head = True self._beginarrow_bracket = False elif beginarrow == "<|": self._beginarrow_head = True self._beginarrow_bracket = False self.fillbegin = True elif beginarrow in ("]", "|"): self._beginarrow_head = False self._beginarrow_bracket = True if endarrow == ">": self._endarrow_head = True self._endarrow_bracket = False elif endarrow == "|>": self._endarrow_head = True self._endarrow_bracket = False self.fillend = True elif endarrow in ("[", "|"): self._endarrow_head = False self._endarrow_bracket = True super().__init__() def _get_arrow_wedge(self, x0, y0, x1, y1, head_dist, cos_t, sin_t, linewidth): """ Return the paths for arrow heads. Since arrow lines are drawn with capstyle=projected, The arrow goes beyond the desired point. This method also returns the amount of the path to be shrunken so that it does not overshoot. """ # arrow from x0, y0 to x1, y1 dx, dy = x0 - x1, y0 - y1 cp_distance = np.hypot(dx, dy) # pad_projected : amount of pad to account the # overshooting of the projection of the wedge pad_projected = (.5 * linewidth / sin_t) # Account for division by zero if cp_distance == 0: cp_distance = 1 # apply pad for projected edge ddx = pad_projected * dx / cp_distance ddy = pad_projected * dy / cp_distance # offset for arrow wedge dx = dx / cp_distance * head_dist dy = dy / cp_distance * head_dist dx1, dy1 = cos_t * dx + sin_t * dy, -sin_t * dx + cos_t * dy dx2, dy2 = cos_t * dx - sin_t * dy, sin_t * dx + cos_t * dy vertices_arrow = [(x1 + ddx + dx1, y1 + ddy + dy1), (x1 + ddx, y1 + ddy), (x1 + ddx + dx2, y1 + ddy + dy2)] codes_arrow = [Path.MOVETO, Path.LINETO, Path.LINETO] return vertices_arrow, codes_arrow, ddx, ddy def _get_bracket(self, x0, y0, x1, y1, width, length, angle): cos_t, sin_t = get_cos_sin(x1, y1, x0, y0) # arrow from x0, y0 to x1, y1 from matplotlib.bezier import get_normal_points x1, y1, x2, y2 = get_normal_points(x0, y0, cos_t, sin_t, width) dx, dy = length * cos_t, length * sin_t vertices_arrow = [(x1 + dx, y1 + dy), (x1, y1), (x2, y2), (x2 + dx, y2 + dy)] codes_arrow = [Path.MOVETO, Path.LINETO, Path.LINETO, Path.LINETO] if angle: trans = transforms.Affine2D().rotate_deg_around(x0, y0, angle) vertices_arrow = trans.transform(vertices_arrow) return vertices_arrow, codes_arrow def transmute(self, path, mutation_size, linewidth): # docstring inherited if self._beginarrow_head or self._endarrow_head: head_length = self.head_length * mutation_size head_width = self.head_width * mutation_size head_dist = np.hypot(head_length, head_width) cos_t, sin_t = head_length / head_dist, head_width / head_dist scaleA = mutation_size if self.scaleA is None else self.scaleA scaleB = mutation_size if self.scaleB is None else self.scaleB # begin arrow x0, y0 = path.vertices[0] x1, y1 = path.vertices[1] # If there is no room for an arrow and a line, then skip the arrow has_begin_arrow = self._beginarrow_head and (x0, y0) != (x1, y1) verticesA, codesA, ddxA, ddyA = ( self._get_arrow_wedge(x1, y1, x0, y0, head_dist, cos_t, sin_t, linewidth) if has_begin_arrow else ([], [], 0, 0) ) # end arrow x2, y2 = path.vertices[-2] x3, y3 = path.vertices[-1] # If there is no room for an arrow and a line, then skip the arrow has_end_arrow = self._endarrow_head and (x2, y2) != (x3, y3) verticesB, codesB, ddxB, ddyB = ( self._get_arrow_wedge(x2, y2, x3, y3, head_dist, cos_t, sin_t, linewidth) if has_end_arrow else ([], [], 0, 0) ) # This simple code will not work if ddx, ddy is greater than the # separation between vertices. paths = [Path(np.concatenate([[(x0 + ddxA, y0 + ddyA)], path.vertices[1:-1], [(x3 + ddxB, y3 + ddyB)]]), path.codes)] fills = [False] if has_begin_arrow: if self.fillbegin: paths.append( Path([*verticesA, (0, 0)], [*codesA, Path.CLOSEPOLY])) fills.append(True) else: paths.append(Path(verticesA, codesA)) fills.append(False) elif self._beginarrow_bracket: x0, y0 = path.vertices[0] x1, y1 = path.vertices[1] verticesA, codesA = self._get_bracket(x0, y0, x1, y1, self.widthA * scaleA, self.lengthA * scaleA, self.angleA) paths.append(Path(verticesA, codesA)) fills.append(False) if has_end_arrow: if self.fillend: fills.append(True) paths.append( Path([*verticesB, (0, 0)], [*codesB, Path.CLOSEPOLY])) else: fills.append(False) paths.append(Path(verticesB, codesB)) elif self._endarrow_bracket: x0, y0 = path.vertices[-1] x1, y1 = path.vertices[-2] verticesB, codesB = self._get_bracket(x0, y0, x1, y1, self.widthB * scaleB, self.lengthB * scaleB, self.angleB) paths.append(Path(verticesB, codesB)) fills.append(False) return paths, fills @_register_style(_style_list, name="-") class Curve(_Curve): """A simple curve without any arrow head.""" def __init__(self): # hide head_length, head_width # These attributes (whose values come from backcompat) only matter # if someone modifies beginarrow/etc. on an ArrowStyle instance. super().__init__(head_length=.2, head_width=.1) @_register_style(_style_list, name="<-") class CurveA(_Curve): """An arrow with a head at its start point.""" arrow = "<-" @_register_style(_style_list, name="->") class CurveB(_Curve): """An arrow with a head at its end point.""" arrow = "->" @_register_style(_style_list, name="<->") class CurveAB(_Curve): """An arrow with heads both at the start and the end point.""" arrow = "<->" @_register_style(_style_list, name="<|-") class CurveFilledA(_Curve): """An arrow with filled triangle head at the start.""" arrow = "<|-" @_register_style(_style_list, name="-|>") class CurveFilledB(_Curve): """An arrow with filled triangle head at the end.""" arrow = "-|>" @_register_style(_style_list, name="<|-|>") class CurveFilledAB(_Curve): """An arrow with filled triangle heads at both ends.""" arrow = "<|-|>" @_register_style(_style_list, name="]-") class BracketA(_Curve): """An arrow with an outward square bracket at its start.""" arrow = "]-" def __init__(self, widthA=1., lengthA=0.2, angleA=0): """ Parameters ---------- widthA : float, default: 1.0 Width of the bracket. lengthA : float, default: 0.2 Length of the bracket. angleA : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthA=widthA, lengthA=lengthA, angleA=angleA) @_register_style(_style_list, name="-[") class BracketB(_Curve): """An arrow with an outward square bracket at its end.""" arrow = "-[" def __init__(self, widthB=1., lengthB=0.2, angleB=0): """ Parameters ---------- widthB : float, default: 1.0 Width of the bracket. lengthB : float, default: 0.2 Length of the bracket. angleB : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthB=widthB, lengthB=lengthB, angleB=angleB) @_register_style(_style_list, name="]-[") class BracketAB(_Curve): """An arrow with outward square brackets at both ends.""" arrow = "]-[" def __init__(self, widthA=1., lengthA=0.2, angleA=0, widthB=1., lengthB=0.2, angleB=0): """ Parameters ---------- widthA, widthB : float, default: 1.0 Width of the bracket. lengthA, lengthB : float, default: 0.2 Length of the bracket. angleA, angleB : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthA=widthA, lengthA=lengthA, angleA=angleA, widthB=widthB, lengthB=lengthB, angleB=angleB) @_register_style(_style_list, name="|-|") class BarAB(_Curve): """An arrow with vertical bars ``|`` at both ends.""" arrow = "|-|" def __init__(self, widthA=1., angleA=0, widthB=1., angleB=0): """ Parameters ---------- widthA, widthB : float, default: 1.0 Width of the bracket. angleA, angleB : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthA=widthA, lengthA=0, angleA=angleA, widthB=widthB, lengthB=0, angleB=angleB) @_register_style(_style_list, name=']->') class BracketCurve(_Curve): """ An arrow with an outward square bracket at its start and a head at the end. """ arrow = "]->" def __init__(self, widthA=1., lengthA=0.2, angleA=None): """ Parameters ---------- widthA : float, default: 1.0 Width of the bracket. lengthA : float, default: 0.2 Length of the bracket. angleA : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthA=widthA, lengthA=lengthA, angleA=angleA) @_register_style(_style_list, name='<-[') class CurveBracket(_Curve): """ An arrow with an outward square bracket at its end and a head at the start. """ arrow = "<-[" def __init__(self, widthB=1., lengthB=0.2, angleB=None): """ Parameters ---------- widthB : float, default: 1.0 Width of the bracket. lengthB : float, default: 0.2 Length of the bracket. angleB : float, default: 0 degrees Orientation of the bracket, as a counterclockwise angle. 0 degrees means perpendicular to the line. """ super().__init__(widthB=widthB, lengthB=lengthB, angleB=angleB) @_register_style(_style_list) class Simple(_Base): """A simple arrow. Only works with a quadratic Bézier curve.""" def __init__(self, head_length=.5, head_width=.5, tail_width=.2): """ Parameters ---------- head_length : float, default: 0.5 Length of the arrow head. head_width : float, default: 0.5 Width of the arrow head. tail_width : float, default: 0.2 Width of the arrow tail. """ self.head_length, self.head_width, self.tail_width = \ head_length, head_width, tail_width super().__init__() def transmute(self, path, mutation_size, linewidth): # docstring inherited x0, y0, x1, y1, x2, y2 = self.ensure_quadratic_bezier(path) # divide the path into a head and a tail head_length = self.head_length * mutation_size in_f = inside_circle(x2, y2, head_length) arrow_path = [(x0, y0), (x1, y1), (x2, y2)] try: arrow_out, arrow_in = \ split_bezier_intersecting_with_closedpath(arrow_path, in_f) except NonIntersectingPathException: # if this happens, make a straight line of the head_length # long. x0, y0 = _point_along_a_line(x2, y2, x1, y1, head_length) x1n, y1n = 0.5 * (x0 + x2), 0.5 * (y0 + y2) arrow_in = [(x0, y0), (x1n, y1n), (x2, y2)] arrow_out = None # head head_width = self.head_width * mutation_size head_left, head_right = make_wedged_bezier2(arrow_in, head_width / 2., wm=.5) # tail if arrow_out is not None: tail_width = self.tail_width * mutation_size tail_left, tail_right = get_parallels(arrow_out, tail_width / 2.) patch_path = [(Path.MOVETO, tail_right[0]), (Path.CURVE3, tail_right[1]), (Path.CURVE3, tail_right[2]), (Path.LINETO, head_right[0]), (Path.CURVE3, head_right[1]), (Path.CURVE3, head_right[2]), (Path.CURVE3, head_left[1]), (Path.CURVE3, head_left[0]), (Path.LINETO, tail_left[2]), (Path.CURVE3, tail_left[1]), (Path.CURVE3, tail_left[0]), (Path.LINETO, tail_right[0]), (Path.CLOSEPOLY, tail_right[0]), ] else: patch_path = [(Path.MOVETO, head_right[0]), (Path.CURVE3, head_right[1]), (Path.CURVE3, head_right[2]), (Path.CURVE3, head_left[1]), (Path.CURVE3, head_left[0]), (Path.CLOSEPOLY, head_left[0]), ] path = Path([p for c, p in patch_path], [c for c, p in patch_path]) return path, True @_register_style(_style_list) class Fancy(_Base): """A fancy arrow. Only works with a quadratic Bézier curve.""" def __init__(self, head_length=.4, head_width=.4, tail_width=.4): """ Parameters ---------- head_length : float, default: 0.4 Length of the arrow head. head_width : float, default: 0.4 Width of the arrow head. tail_width : float, default: 0.4 Width of the arrow tail. """ self.head_length, self.head_width, self.tail_width = \ head_length, head_width, tail_width super().__init__() def transmute(self, path, mutation_size, linewidth): # docstring inherited x0, y0, x1, y1, x2, y2 = self.ensure_quadratic_bezier(path) # divide the path into a head and a tail head_length = self.head_length * mutation_size arrow_path = [(x0, y0), (x1, y1), (x2, y2)] # path for head in_f = inside_circle(x2, y2, head_length) try: path_out, path_in = split_bezier_intersecting_with_closedpath( arrow_path, in_f) except NonIntersectingPathException: # if this happens, make a straight line of the head_length # long. x0, y0 = _point_along_a_line(x2, y2, x1, y1, head_length) x1n, y1n = 0.5 * (x0 + x2), 0.5 * (y0 + y2) arrow_path = [(x0, y0), (x1n, y1n), (x2, y2)] path_head = arrow_path else: path_head = path_in # path for head in_f = inside_circle(x2, y2, head_length * .8) path_out, path_in = split_bezier_intersecting_with_closedpath( arrow_path, in_f) path_tail = path_out # head head_width = self.head_width * mutation_size head_l, head_r = make_wedged_bezier2(path_head, head_width / 2., wm=.6) # tail tail_width = self.tail_width * mutation_size tail_left, tail_right = make_wedged_bezier2(path_tail, tail_width * .5, w1=1., wm=0.6, w2=0.3) # path for head in_f = inside_circle(x0, y0, tail_width * .3) path_in, path_out = split_bezier_intersecting_with_closedpath( arrow_path, in_f) tail_start = path_in[-1] head_right, head_left = head_r, head_l patch_path = [(Path.MOVETO, tail_start), (Path.LINETO, tail_right[0]), (Path.CURVE3, tail_right[1]), (Path.CURVE3, tail_right[2]), (Path.LINETO, head_right[0]), (Path.CURVE3, head_right[1]), (Path.CURVE3, head_right[2]), (Path.CURVE3, head_left[1]), (Path.CURVE3, head_left[0]), (Path.LINETO, tail_left[2]), (Path.CURVE3, tail_left[1]), (Path.CURVE3, tail_left[0]), (Path.LINETO, tail_start), (Path.CLOSEPOLY, tail_start), ] path = Path([p for c, p in patch_path], [c for c, p in patch_path]) return path, True @_register_style(_style_list) class Wedge(_Base): """ Wedge(?) shape. Only works with a quadratic Bézier curve. The start point has a width of the *tail_width* and the end point has a width of 0. At the middle, the width is *shrink_factor*x*tail_width*. """ def __init__(self, tail_width=.3, shrink_factor=0.5): """ Parameters ---------- tail_width : float, default: 0.3 Width of the tail. shrink_factor : float, default: 0.5 Fraction of the arrow width at the middle point. """ self.tail_width = tail_width self.shrink_factor = shrink_factor super().__init__() def transmute(self, path, mutation_size, linewidth): # docstring inherited x0, y0, x1, y1, x2, y2 = self.ensure_quadratic_bezier(path) arrow_path = [(x0, y0), (x1, y1), (x2, y2)] b_plus, b_minus = make_wedged_bezier2( arrow_path, self.tail_width * mutation_size / 2., wm=self.shrink_factor) patch_path = [(Path.MOVETO, b_plus[0]), (Path.CURVE3, b_plus[1]), (Path.CURVE3, b_plus[2]), (Path.LINETO, b_minus[2]), (Path.CURVE3, b_minus[1]), (Path.CURVE3, b_minus[0]), (Path.CLOSEPOLY, b_minus[0]), ] path = Path([p for c, p in patch_path], [c for c, p in patch_path]) return path, True class FancyBboxPatch(Patch): """ A fancy box around a rectangle with lower left at *xy* = (*x*, *y*) with specified width and height. `.FancyBboxPatch` is similar to `.Rectangle`, but it draws a fancy box around the rectangle. The transformation of the rectangle box to the fancy box is delegated to the style classes defined in `.BoxStyle`. """ _edge_default = True def __str__(self): s = self.__class__.__name__ + "((%g, %g), width=%g, height=%g)" return s % (self._x, self._y, self._width, self._height) @_docstring.dedent_interpd def __init__(self, xy, width, height, boxstyle="round", *, mutation_scale=1, mutation_aspect=1, **kwargs): """ Parameters ---------- xy : (float, float) The lower left corner of the box. width : float The width of the box. height : float The height of the box. boxstyle : str or `~matplotlib.patches.BoxStyle` The style of the fancy box. This can either be a `.BoxStyle` instance or a string of the style name and optionally comma separated attributes (e.g. "Round, pad=0.2"). This string is passed to `.BoxStyle` to construct a `.BoxStyle` object. See there for a full documentation. The following box styles are available: %(BoxStyle:table)s mutation_scale : float, default: 1 Scaling factor applied to the attributes of the box style (e.g. pad or rounding_size). mutation_aspect : float, default: 1 The height of the rectangle will be squeezed by this value before the mutation and the mutated box will be stretched by the inverse of it. For example, this allows different horizontal and vertical padding. Other Parameters ---------------- **kwargs : `~matplotlib.patches.Patch` properties %(Patch:kwdoc)s """ super().__init__(**kwargs) self._x, self._y = xy self._width = width self._height = height self.set_boxstyle(boxstyle) self._mutation_scale = mutation_scale self._mutation_aspect = mutation_aspect self.stale = True @_docstring.dedent_interpd def set_boxstyle(self, boxstyle=None, **kwargs): """ Set the box style, possibly with further attributes. Attributes from the previous box style are not reused. Without argument (or with ``boxstyle=None``), the available box styles are returned as a human-readable string. Parameters ---------- boxstyle : str or `~matplotlib.patches.BoxStyle` The style of the box: either a `.BoxStyle` instance, or a string, which is the style name and optionally comma separated attributes (e.g. "Round,pad=0.2"). Such a string is used to construct a `.BoxStyle` object, as documented in that class. The following box styles are available: %(BoxStyle:table_and_accepts)s **kwargs Additional attributes for the box style. See the table above for supported parameters. Examples -------- :: set_boxstyle("Round,pad=0.2") set_boxstyle("round", pad=0.2) """ if boxstyle is None: return BoxStyle.pprint_styles() self._bbox_transmuter = ( BoxStyle(boxstyle, **kwargs) if isinstance(boxstyle, str) else boxstyle) self.stale = True def get_boxstyle(self): """Return the boxstyle object.""" return self._bbox_transmuter def set_mutation_scale(self, scale): """ Set the mutation scale. Parameters ---------- scale : float """ self._mutation_scale = scale self.stale = True def get_mutation_scale(self): """Return the mutation scale.""" return self._mutation_scale def set_mutation_aspect(self, aspect): """ Set the aspect ratio of the bbox mutation. Parameters ---------- aspect : float """ self._mutation_aspect = aspect self.stale = True def get_mutation_aspect(self): """Return the aspect ratio of the bbox mutation.""" return (self._mutation_aspect if self._mutation_aspect is not None else 1) # backcompat. def get_path(self): """Return the mutated path of the rectangle.""" boxstyle = self.get_boxstyle() m_aspect = self.get_mutation_aspect() # Call boxstyle with y, height squeezed by aspect_ratio. path = boxstyle(self._x, self._y / m_aspect, self._width, self._height / m_aspect, self.get_mutation_scale()) return Path(path.vertices * [1, m_aspect], path.codes) # Unsqueeze y. # Following methods are borrowed from the Rectangle class. def get_x(self): """Return the left coord of the rectangle.""" return self._x def get_y(self): """Return the bottom coord of the rectangle.""" return self._y def get_width(self): """Return the width of the rectangle.""" return self._width def get_height(self): """Return the height of the rectangle.""" return self._height def set_x(self, x): """ Set the left coord of the rectangle. Parameters ---------- x : float """ self._x = x self.stale = True def set_y(self, y): """ Set the bottom coord of the rectangle. Parameters ---------- y : float """ self._y = y self.stale = True def set_width(self, w): """ Set the rectangle width. Parameters ---------- w : float """ self._width = w self.stale = True def set_height(self, h): """ Set the rectangle height. Parameters ---------- h : float """ self._height = h self.stale = True def set_bounds(self, *args): """ Set the bounds of the rectangle. Call signatures:: set_bounds(left, bottom, width, height) set_bounds((left, bottom, width, height)) Parameters ---------- left, bottom : float The coordinates of the bottom left corner of the rectangle. width, height : float The width/height of the rectangle. """ if len(args) == 1: l, b, w, h = args[0] else: l, b, w, h = args self._x = l self._y = b self._width = w self._height = h self.stale = True def get_bbox(self): """Return the `.Bbox`.""" return transforms.Bbox.from_bounds(self._x, self._y, self._width, self._height) class FancyArrowPatch(Patch): """ A fancy arrow patch. It draws an arrow using the `ArrowStyle`. It is primarily used by the `~.axes.Axes.annotate` method. For most purposes, use the annotate method for drawing arrows. The head and tail positions are fixed at the specified start and end points of the arrow, but the size and shape (in display coordinates) of the arrow does not change when the axis is moved or zoomed. """ _edge_default = True def __str__(self): if self._posA_posB is not None: (x1, y1), (x2, y2) = self._posA_posB return f"{type(self).__name__}(({x1:g}, {y1:g})->({x2:g}, {y2:g}))" else: return f"{type(self).__name__}({self._path_original})" @_docstring.dedent_interpd def __init__(self, posA=None, posB=None, *, path=None, arrowstyle="simple", connectionstyle="arc3", patchA=None, patchB=None, shrinkA=2, shrinkB=2, mutation_scale=1, mutation_aspect=1, **kwargs): """ There are two ways for defining an arrow: - If *posA* and *posB* are given, a path connecting two points is created according to *connectionstyle*. The path will be clipped with *patchA* and *patchB* and further shrunken by *shrinkA* and *shrinkB*. An arrow is drawn along this resulting path using the *arrowstyle* parameter. - Alternatively if *path* is provided, an arrow is drawn along this path and *patchA*, *patchB*, *shrinkA*, and *shrinkB* are ignored. Parameters ---------- posA, posB : (float, float), default: None (x, y) coordinates of arrow tail and arrow head respectively. path : `~matplotlib.path.Path`, default: None If provided, an arrow is drawn along this path and *patchA*, *patchB*, *shrinkA*, and *shrinkB* are ignored. arrowstyle : str or `.ArrowStyle`, default: 'simple' The `.ArrowStyle` with which the fancy arrow is drawn. If a string, it should be one of the available arrowstyle names, with optional comma-separated attributes. The optional attributes are meant to be scaled with the *mutation_scale*. The following arrow styles are available: %(ArrowStyle:table)s connectionstyle : str or `.ConnectionStyle` or None, optional, \ default: 'arc3' The `.ConnectionStyle` with which *posA* and *posB* are connected. If a string, it should be one of the available connectionstyle names, with optional comma-separated attributes. The following connection styles are available: %(ConnectionStyle:table)s patchA, patchB : `~matplotlib.patches.Patch`, default: None Head and tail patches, respectively. shrinkA, shrinkB : float, default: 2 Shrinking factor of the tail and head of the arrow respectively. mutation_scale : float, default: 1 Value with which attributes of *arrowstyle* (e.g., *head_length*) will be scaled. mutation_aspect : None or float, default: None The height of the rectangle will be squeezed by this value before the mutation and the mutated box will be stretched by the inverse of it. Other Parameters ---------------- **kwargs : `~matplotlib.patches.Patch` properties, optional Here is a list of available `.Patch` properties: %(Patch:kwdoc)s In contrast to other patches, the default ``capstyle`` and ``joinstyle`` for `FancyArrowPatch` are set to ``"round"``. """ # Traditionally, the cap- and joinstyle for FancyArrowPatch are round kwargs.setdefault("joinstyle", JoinStyle.round) kwargs.setdefault("capstyle", CapStyle.round) super().__init__(**kwargs) if posA is not None and posB is not None and path is None: self._posA_posB = [posA, posB] if connectionstyle is None: connectionstyle = "arc3" self.set_connectionstyle(connectionstyle) elif posA is None and posB is None and path is not None: self._posA_posB = None else: raise ValueError("Either posA and posB, or path need to provided") self.patchA = patchA self.patchB = patchB self.shrinkA = shrinkA self.shrinkB = shrinkB self._path_original = path self.set_arrowstyle(arrowstyle) self._mutation_scale = mutation_scale self._mutation_aspect = mutation_aspect self._dpi_cor = 1.0 def set_positions(self, posA, posB): """ Set the start and end positions of the connecting path. Parameters ---------- posA, posB : None, tuple (x, y) coordinates of arrow tail and arrow head respectively. If `None` use current value. """ if posA is not None: self._posA_posB[0] = posA if posB is not None: self._posA_posB[1] = posB self.stale = True def set_patchA(self, patchA): """ Set the tail patch. Parameters ---------- patchA : `.patches.Patch` """ self.patchA = patchA self.stale = True def set_patchB(self, patchB): """ Set the head patch. Parameters ---------- patchB : `.patches.Patch` """ self.patchB = patchB self.stale = True @_docstring.dedent_interpd def set_connectionstyle(self, connectionstyle=None, **kwargs): """ Set the connection style, possibly with further attributes. Attributes from the previous connection style are not reused. Without argument (or with ``connectionstyle=None``), the available box styles are returned as a human-readable string. Parameters ---------- connectionstyle : str or `~matplotlib.patches.ConnectionStyle` The style of the connection: either a `.ConnectionStyle` instance, or a string, which is the style name and optionally comma separated attributes (e.g. "Arc,armA=30,rad=10"). Such a string is used to construct a `.ConnectionStyle` object, as documented in that class. The following connection styles are available: %(ConnectionStyle:table_and_accepts)s **kwargs Additional attributes for the connection style. See the table above for supported parameters. Examples -------- :: set_connectionstyle("Arc,armA=30,rad=10") set_connectionstyle("arc", armA=30, rad=10) """ if connectionstyle is None: return ConnectionStyle.pprint_styles() self._connector = ( ConnectionStyle(connectionstyle, **kwargs) if isinstance(connectionstyle, str) else connectionstyle) self.stale = True def get_connectionstyle(self): """Return the `ConnectionStyle` used.""" return self._connector def set_arrowstyle(self, arrowstyle=None, **kwargs): """ Set the arrow style, possibly with further attributes. Attributes from the previous arrow style are not reused. Without argument (or with ``arrowstyle=None``), the available box styles are returned as a human-readable string. Parameters ---------- arrowstyle : str or `~matplotlib.patches.ArrowStyle` The style of the arrow: either a `.ArrowStyle` instance, or a string, which is the style name and optionally comma separated attributes (e.g. "Fancy,head_length=0.2"). Such a string is used to construct a `.ArrowStyle` object, as documented in that class. The following arrow styles are available: %(ArrowStyle:table_and_accepts)s **kwargs Additional attributes for the arrow style. See the table above for supported parameters. Examples -------- :: set_arrowstyle("Fancy,head_length=0.2") set_arrowstyle("fancy", head_length=0.2) """ if arrowstyle is None: return ArrowStyle.pprint_styles() self._arrow_transmuter = ( ArrowStyle(arrowstyle, **kwargs) if isinstance(arrowstyle, str) else arrowstyle) self.stale = True def get_arrowstyle(self): """Return the arrowstyle object.""" return self._arrow_transmuter def set_mutation_scale(self, scale): """ Set the mutation scale. Parameters ---------- scale : float """ self._mutation_scale = scale self.stale = True def get_mutation_scale(self): """ Return the mutation scale. Returns ------- scalar """ return self._mutation_scale def set_mutation_aspect(self, aspect): """ Set the aspect ratio of the bbox mutation. Parameters ---------- aspect : float """ self._mutation_aspect = aspect self.stale = True def get_mutation_aspect(self): """Return the aspect ratio of the bbox mutation.""" return (self._mutation_aspect if self._mutation_aspect is not None else 1) # backcompat. def get_path(self): """Return the path of the arrow in the data coordinates.""" # The path is generated in display coordinates, then converted back to # data coordinates. _path, fillable = self._get_path_in_displaycoord() if np.iterable(fillable): _path = Path.make_compound_path(*_path) return self.get_transform().inverted().transform_path(_path) def _get_path_in_displaycoord(self): """Return the mutated path of the arrow in display coordinates.""" dpi_cor = self._dpi_cor if self._posA_posB is not None: posA = self._convert_xy_units(self._posA_posB[0]) posB = self._convert_xy_units(self._posA_posB[1]) (posA, posB) = self.get_transform().transform((posA, posB)) _path = self.get_connectionstyle()(posA, posB, patchA=self.patchA, patchB=self.patchB, shrinkA=self.shrinkA * dpi_cor, shrinkB=self.shrinkB * dpi_cor ) else: _path = self.get_transform().transform_path(self._path_original) _path, fillable = self.get_arrowstyle()( _path, self.get_mutation_scale() * dpi_cor, self.get_linewidth() * dpi_cor, self.get_mutation_aspect()) return _path, fillable def draw(self, renderer): if not self.get_visible(): return # FIXME: dpi_cor is for the dpi-dependency of the linewidth. There # could be room for improvement. Maybe _get_path_in_displaycoord could # take a renderer argument, but get_path should be adapted too. self._dpi_cor = renderer.points_to_pixels(1.) path, fillable = self._get_path_in_displaycoord() if not np.iterable(fillable): path = [path] fillable = [fillable] affine = transforms.IdentityTransform() self._draw_paths_with_artist_properties( renderer, [(p, affine, self._facecolor if f and self._facecolor[3] else None) for p, f in zip(path, fillable)]) class ConnectionPatch(FancyArrowPatch): """A patch that connects two points (possibly in different axes).""" def __str__(self): return "ConnectionPatch((%g, %g), (%g, %g))" % \ (self.xy1[0], self.xy1[1], self.xy2[0], self.xy2[1]) @_docstring.dedent_interpd def __init__(self, xyA, xyB, coordsA, coordsB=None, *, axesA=None, axesB=None, arrowstyle="-", connectionstyle="arc3", patchA=None, patchB=None, shrinkA=0., shrinkB=0., mutation_scale=10., mutation_aspect=None, clip_on=False, **kwargs): """ Connect point *xyA* in *coordsA* with point *xyB* in *coordsB*. Valid keys are =============== ====================================================== Key Description =============== ====================================================== arrowstyle the arrow style connectionstyle the connection style relpos default is (0.5, 0.5) patchA default is bounding box of the text patchB default is None shrinkA default is 2 points shrinkB default is 2 points mutation_scale default is text size (in points) mutation_aspect default is 1. ? any key for `matplotlib.patches.PathPatch` =============== ====================================================== *coordsA* and *coordsB* are strings that indicate the coordinates of *xyA* and *xyB*. ==================== ================================================== Property Description ==================== ================================================== 'figure points' points from the lower left corner of the figure 'figure pixels' pixels from the lower left corner of the figure 'figure fraction' 0, 0 is lower left of figure and 1, 1 is upper right 'subfigure points' points from the lower left corner of the subfigure 'subfigure pixels' pixels from the lower left corner of the subfigure 'subfigure fraction' fraction of the subfigure, 0, 0 is lower left. 'axes points' points from lower left corner of axes 'axes pixels' pixels from lower left corner of axes 'axes fraction' 0, 0 is lower left of axes and 1, 1 is upper right 'data' use the coordinate system of the object being annotated (default) 'offset points' offset (in points) from the *xy* value 'polar' you can specify *theta*, *r* for the annotation, even in cartesian plots. Note that if you are using a polar axes, you do not need to specify polar for the coordinate system since that is the native "data" coordinate system. ==================== ================================================== Alternatively they can be set to any valid `~matplotlib.transforms.Transform`. Note that 'subfigure pixels' and 'figure pixels' are the same for the parent figure, so users who want code that is usable in a subfigure can use 'subfigure pixels'. .. note:: Using `ConnectionPatch` across two `~.axes.Axes` instances is not directly compatible with :ref:`constrained layout `. Add the artist directly to the `.Figure` instead of adding it to a specific Axes, or exclude it from the layout using ``con.set_in_layout(False)``. .. code-block:: default fig, ax = plt.subplots(1, 2, constrained_layout=True) con = ConnectionPatch(..., axesA=ax[0], axesB=ax[1]) fig.add_artist(con) """ if coordsB is None: coordsB = coordsA # we'll draw ourself after the artist we annotate by default self.xy1 = xyA self.xy2 = xyB self.coords1 = coordsA self.coords2 = coordsB self.axesA = axesA self.axesB = axesB super().__init__(posA=(0, 0), posB=(1, 1), arrowstyle=arrowstyle, connectionstyle=connectionstyle, patchA=patchA, patchB=patchB, shrinkA=shrinkA, shrinkB=shrinkB, mutation_scale=mutation_scale, mutation_aspect=mutation_aspect, clip_on=clip_on, **kwargs) # if True, draw annotation only if self.xy is inside the axes self._annotation_clip = None def _get_xy(self, xy, s, axes=None): """Calculate the pixel position of given point.""" s0 = s # For the error message, if needed. if axes is None: axes = self.axes xy = np.array(xy) if s in ["figure points", "axes points"]: xy *= self.figure.dpi / 72 s = s.replace("points", "pixels") elif s == "figure fraction": s = self.figure.transFigure elif s == "subfigure fraction": s = self.figure.transSubfigure elif s == "axes fraction": s = axes.transAxes x, y = xy if s == 'data': trans = axes.transData x = float(self.convert_xunits(x)) y = float(self.convert_yunits(y)) return trans.transform((x, y)) elif s == 'offset points': if self.xycoords == 'offset points': # prevent recursion return self._get_xy(self.xy, 'data') return ( self._get_xy(self.xy, self.xycoords) # converted data point + xy * self.figure.dpi / 72) # converted offset elif s == 'polar': theta, r = x, y x = r * np.cos(theta) y = r * np.sin(theta) trans = axes.transData return trans.transform((x, y)) elif s == 'figure pixels': # pixels from the lower left corner of the figure bb = self.figure.figbbox x = bb.x0 + x if x >= 0 else bb.x1 + x y = bb.y0 + y if y >= 0 else bb.y1 + y return x, y elif s == 'subfigure pixels': # pixels from the lower left corner of the figure bb = self.figure.bbox x = bb.x0 + x if x >= 0 else bb.x1 + x y = bb.y0 + y if y >= 0 else bb.y1 + y return x, y elif s == 'axes pixels': # pixels from the lower left corner of the axes bb = axes.bbox x = bb.x0 + x if x >= 0 else bb.x1 + x y = bb.y0 + y if y >= 0 else bb.y1 + y return x, y elif isinstance(s, transforms.Transform): return s.transform(xy) else: raise ValueError(f"{s0} is not a valid coordinate transformation") def set_annotation_clip(self, b): """ Set the annotation's clipping behavior. Parameters ---------- b : bool or None - True: The annotation will be clipped when ``self.xy`` is outside the axes. - False: The annotation will always be drawn. - None: The annotation will be clipped when ``self.xy`` is outside the axes and ``self.xycoords == "data"``. """ self._annotation_clip = b self.stale = True def get_annotation_clip(self): """ Return the clipping behavior. See `.set_annotation_clip` for the meaning of the return value. """ return self._annotation_clip def _get_path_in_displaycoord(self): """Return the mutated path of the arrow in display coordinates.""" dpi_cor = self._dpi_cor posA = self._get_xy(self.xy1, self.coords1, self.axesA) posB = self._get_xy(self.xy2, self.coords2, self.axesB) path = self.get_connectionstyle()( posA, posB, patchA=self.patchA, patchB=self.patchB, shrinkA=self.shrinkA * dpi_cor, shrinkB=self.shrinkB * dpi_cor, ) path, fillable = self.get_arrowstyle()( path, self.get_mutation_scale() * dpi_cor, self.get_linewidth() * dpi_cor, self.get_mutation_aspect() ) return path, fillable def _check_xy(self, renderer): """Check whether the annotation needs to be drawn.""" b = self.get_annotation_clip() if b or (b is None and self.coords1 == "data"): xy_pixel = self._get_xy(self.xy1, self.coords1, self.axesA) if self.axesA is None: axes = self.axes else: axes = self.axesA if not axes.contains_point(xy_pixel): return False if b or (b is None and self.coords2 == "data"): xy_pixel = self._get_xy(self.xy2, self.coords2, self.axesB) if self.axesB is None: axes = self.axes else: axes = self.axesB if not axes.contains_point(xy_pixel): return False return True def draw(self, renderer): if renderer is not None: self._renderer = renderer if not self.get_visible() or not self._check_xy(renderer): return super().draw(renderer)