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/ patches.py
import contextlib
import functools
import inspect
import math
from numbers import Number
import textwrap
import numpy as np
import matplotlib as mpl
from . import artist, cbook, colors, docstring, lines as mlines, transforms
from .bezier import (
NonIntersectingPathException, concatenate_paths, get_cos_sin,
get_intersection, get_parallels, inside_circle, make_path_regular,
make_wedged_bezier2, split_bezier_intersecting_with_closedpath,
split_path_inout)
from .path import Path
@cbook._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
validCap = ('butt', 'round', 'projecting')
validJoin = ('miter', 'round', 'bevel')
# 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)s
"""
artist.Artist.__init__(self)
if linewidth is None:
linewidth = mpl.rcParams['patch.linewidth']
if linestyle is None:
linestyle = "solid"
if capstyle is None:
capstyle = 'butt'
if joinstyle is None:
joinstyle = 'miter'
if antialiased is None:
antialiased = mpl.rcParams['patch.antialiased']
self._hatch_color = colors.to_rgba(mpl.rcParams['hatch.color'])
self._fill = True # needed for set_facecolor call
if color is not None:
if edgecolor is not None or facecolor is not None:
cbook._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)
# unscaled dashes. Needed to scale dash patterns by lw
self._us_dashes = None
self._linewidth = 0
self.set_fill(fill)
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.update(kwargs)
def get_verts(self):
"""
Return a copy of the vertices used in this patch
If the patch contains Bezier curves, the curves will be
interpolated by line segments. To access the curves as
curves, use :meth:`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._contains is not None:
return self._contains(self, mouseevent)
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):
"""
Returns ``True`` if the given *point* is inside the path
(transformed with its transform attribute).
*radius* allows the path to be made slightly larger or smaller.
"""
radius = self._process_radius(radius)
return self.get_path().contains_point(point,
self.get_transform(),
radius)
def contains_points(self, points, radius=None):
"""
Returns a bool array which is ``True`` if the (closed) path
contains the corresponding point.
(transformed with its transform attribute).
*points* must be Nx2 array.
*radius* allows the path to be made slightly larger or smaller.
"""
radius = self._process_radius(radius)
return self.get_path().contains_points(points,
self.get_transform(),
radius)
def update_from(self, other):
"""
Updates this :class:`Patch` from the properties of *other*.
"""
artist.Artist.update_from(self, 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
# copy the unscaled dash pattern
self._us_dashes = other._us_dashes
self.set_linewidth(other._linewidth) # also sets dash properties
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 a :class:`~matplotlib.transforms.Bbox` object defining
the axis-aligned extents of the :class:`Patch`.
"""
return self.get_path().get_extents(self.get_transform())
def get_transform(self):
"""
Return the :class:`~matplotlib.transforms.Transform` applied
to the :class:`Patch`.
"""
return self.get_patch_transform() + artist.Artist.get_transform(self)
def get_data_transform(self):
"""
Return the :class:`~matplotlib.transforms.Transform` instance which
maps data coordinates to physical coordinates.
"""
return artist.Artist.get_transform(self)
def get_patch_transform(self):
"""
Return the :class:`~matplotlib.transforms.Transform` instance which
takes 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):
"""
Returns True if the :class:`Patch` is to be drawn with antialiasing.
"""
return self._antialiased
def get_edgecolor(self):
"""
Return the edge color of the :class:`Patch`.
"""
return self._edgecolor
def get_facecolor(self):
"""
Return the face color of the :class:`Patch`.
"""
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
----------
b : 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 or 'auto'
"""
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):
"""
Set the alpha transparency of the patch.
Parameters
----------
alpha : float or None
"""
if alpha is not None:
try:
float(alpha)
except TypeError:
raise TypeError('alpha must be a float or None')
artist.Artist.set_alpha(self, alpha)
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']
if w is None:
w = mpl.rcParams['axes.linewidth']
self._linewidth = float(w)
# scale the dash pattern by the linewidth
offset, ls = self._us_dashes
self._dashoffset, self._dashes = mlines._scale_dashes(
offset, ls, self._linewidth)
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
=========================== =================
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"
self._linestyle = ls
# get the unscaled dash pattern
offset, ls = self._us_dashes = mlines._get_dash_pattern(ls)
# scale the dash pattern by the linewidth
self._dashoffset, self._dashes = mlines._scale_dashes(
offset, ls, 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 fill is set'
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)
def set_capstyle(self, s):
"""
Set the patch capstyle
Parameters
----------
s : {'butt', 'round', 'projecting'}
"""
s = s.lower()
if s not in self.validCap:
raise ValueError('set_capstyle passed "%s";\n' % (s,) +
'valid capstyles are %s' % (self.validCap,))
self._capstyle = s
self.stale = True
def get_capstyle(self):
"Return the current capstyle"
return self._capstyle
def set_joinstyle(self, s):
"""
Set the patch joinstyle
Parameters
----------
s : {'miter', 'round', 'bevel'}
"""
s = s.lower()
if s not in self.validJoin:
raise ValueError('set_joinstyle passed "%s";\n' % (s,) +
'valid joinstyles are %s' % (self.validJoin,))
self._joinstyle = s
self.stale = True
def get_joinstyle(self):
"Return the current joinstyle"
return self._joinstyle
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', '.', '*'}
"""
self._hatch = hatch
self.stale = True
def get_hatch(self):
'Return the current hatching pattern'
return self._hatch
@contextlib.contextmanager
def _bind_draw_path_function(self, renderer):
"""
``draw()`` helper factored out for sharing with `FancyArrowPatch`.
Yields a callable ``dp`` such that calling ``dp(*args, **kwargs)`` is
equivalent to calling ``renderer1.draw_path(gc, *args, **kwargs)``
where ``renderer1`` and ``gc`` have been suitably set from ``renderer``
and the artist's properties.
"""
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:
lw = 0
gc.set_linewidth(lw)
gc.set_dashes(self._dashoffset, self._dashes)
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)
try:
gc.set_hatch_color(self._hatch_color)
except AttributeError:
# if we end up with a GC that does not have this method
cbook.warn_deprecated(
"3.1", message="Your backend does not support setting the "
"hatch color; such backends will become unsupported in "
"Matplotlib 3.3.")
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)
# In `with _bind_draw_path_function(renderer) as draw_path: ...`
# (in the implementations of `draw()` below), calls to `draw_path(...)`
# will occur as if they took place here with `gc` inserted as
# additional first argument.
yield functools.partial(renderer.draw_path, gc)
gc.restore()
renderer.close_group('patch')
self.stale = False
@artist.allow_rasterization
def draw(self, renderer):
'Draw the :class:`Patch` to the given *renderer*.'
if not self.get_visible():
return
# Patch has traditionally ignored the dashoffset.
with cbook._setattr_cm(self, _dashoffset=0), \
self._bind_draw_path_function(renderer) as draw_path:
path = self.get_path()
transform = self.get_transform()
tpath = transform.transform_path_non_affine(path)
affine = transform.get_affine()
draw_path(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)
patchdoc = artist.kwdoc(Patch)
for k in ('Rectangle', 'Circle', 'RegularPolygon', 'Polygon', 'Wedge', 'Arrow',
'FancyArrow', 'YAArrow', 'CirclePolygon', 'Ellipse', 'Arc',
'FancyBboxPatch', 'Patch'):
docstring.interpd.update({k: patchdoc})
# define Patch.__init__ docstring after the class has been added to interpd
docstring.dedent_interpd(Patch.__init__)
class Shadow(Patch):
def __str__(self):
return "Shadow(%s)" % (str(self.patch))
@docstring.dedent_interpd
def __init__(self, patch, ox, oy, props=None, **kwargs):
"""
Create a shadow of the given *patch* offset by *ox*, *oy*.
*props*, if not *None*, is a patch property update dictionary.
If *None*, the shadow will have have the same color as the face,
but darkened.
kwargs are
%(Patch)s
"""
Patch.__init__(self)
self.patch = patch
self.props = props
self._ox, self._oy = ox, oy
self._shadow_transform = transforms.Affine2D()
self._update()
def _update(self):
self.update_from(self.patch)
# Place the shadow patch directly behind the inherited patch.
self.set_zorder(np.nextafter(self.patch.zorder, -np.inf))
if self.props is not None:
self.update(self.props)
else:
color = .3 * np.asarray(colors.to_rgb(self.patch.get_facecolor()))
self.set_facecolor(color)
self.set_edgecolor(color)
self.set_alpha(0.5)
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_ox(self):
return self._ox
def _set_ox(self, ox):
self._ox = ox
def _get_oy(self):
return self._oy
def _set_oy(self, oy):
self._oy = 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)
Patch.draw(self, renderer)
class Rectangle(Patch):
"""
A rectangle with lower left at *xy* = (*x*, *y*) with
specified *width*, *height* and rotation *angle*.
"""
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, **kwargs):
"""
Parameters
----------
xy : (float, float)
The bottom and left rectangle coordinates
width : float
Rectangle width
height : float
Rectangle height
angle : float, optional
rotation in degrees anti-clockwise about *xy* (default is 0.0)
fill : bool, optional
Whether to fill the rectangle (default is ``True``)
Notes
-----
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._x0 = xy[0]
self._y0 = xy[1]
self._width = width
self._height = height
self._x1 = self._x0 + self._width
self._y1 = self._y0 + self._height
self.angle = float(angle)
# Note: This cannot be calculated until this is added to an Axes
self._rect_transform = transforms.IdentityTransform()
def get_path(self):
"""
Return the vertices of the rectangle.
"""
return Path.unit_rectangle()
def _update_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.
"""
x0, y0, x1, y1 = self._convert_units()
bbox = transforms.Bbox.from_extents(x0, y0, x1, y1)
rot_trans = transforms.Affine2D()
rot_trans.rotate_deg_around(x0, y0, self.angle)
self._rect_transform = transforms.BboxTransformTo(bbox)
self._rect_transform += rot_trans
def _update_x1(self):
self._x1 = self._x0 + self._width
def _update_y1(self):
self._y1 = self._y0 + self._height
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._x1)
y1 = self.convert_yunits(self._y1)
return x0, y0, x1, y1
def get_patch_transform(self):
self._update_patch_transform()
return self._rect_transform
def get_x(self):
"Return the left coord of the rectangle."
return self._x0
def get_y(self):
"Return the bottom coord of the rectangle."
return self._y0
def get_xy(self):
"Return the left and bottom coords of the rectangle."
return self._x0, self._y0
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."
self._x0 = x
self._update_x1()
self.stale = True
def set_y(self, y):
"Set the bottom coord of the rectangle."
self._y0 = y
self._update_y1()
self.stale = True
def set_xy(self, xy):
"""
Set the left and bottom coords of the rectangle.
Parameters
----------
xy : (float, float)
"""
self._x0, self._y0 = xy
self._update_x1()
self._update_y1()
self.stale = True
def set_width(self, w):
"Set the width of the rectangle."
self._width = w
self._update_x1()
self.stale = True
def set_height(self, h):
"Set the height of the rectangle."
self._height = h
self._update_y1()
self.stale = True
def set_bounds(self, *args):
"""
Set the bounds of the rectangle: l,b,w,h
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._update_x1()
self._update_y1()
self.stale = True
def get_bbox(self):
x0, y0, x1, y1 = self._convert_units()
return transforms.Bbox.from_extents(x0, y0, x1, y1)
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):
"""
Constructor arguments:
*xy*
A length 2 tuple (*x*, *y*) of the center.
*numVertices*
the number of vertices.
*radius*
The distance from the center to each of the vertices.
*orientation*
rotates the polygon (in radians).
Valid kwargs are:
%(Patch)s
"""
self._xy = xy
self._numVertices = numVertices
self._orientation = orientation
self._radius = radius
self._path = Path.unit_regular_polygon(numVertices)
self._poly_transform = transforms.Affine2D()
self._update_transform()
Patch.__init__(self, **kwargs)
def _update_transform(self):
self._poly_transform.clear() \
.scale(self.radius) \
.rotate(self.orientation) \
.translate(*self.xy)
@property
def xy(self):
return self._xy
@xy.setter
def xy(self, xy):
self._xy = xy
self._update_transform()
@property
def orientation(self):
return self._orientation
@orientation.setter
def orientation(self, orientation):
self._orientation = orientation
self._update_transform()
@property
def radius(self):
return self._radius
@radius.setter
def radius(self, radius):
self._radius = radius
self._update_transform()
@property
def numvertices(self):
return self._numVertices
@numvertices.setter
def numvertices(self, numVertices):
self._numVertices = numVertices
def get_path(self):
return self._path
def get_patch_transform(self):
self._update_transform()
return self._poly_transform
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 :class:`matplotlib.path.Path` object.
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._path = path
def get_path(self):
return self._path
class Polygon(Patch):
"""
A general polygon patch.
"""
def __str__(self):
s = "Polygon%d((%g, %g) ...)"
return s % (len(self._path.vertices), *tuple(self._path.vertices[0]))
@docstring.dedent_interpd
def __init__(self, xy, closed=True, **kwargs):
"""
*xy* is a numpy array with shape Nx2.
If *closed* is *True*, the polygon will be closed so the
starting and ending points are the same.
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._closed = closed
self.set_xy(xy)
def get_path(self):
"""
Get the path of the polygon
Returns
-------
path : Path
The :class:`~matplotlib.path.Path` object for
the polygon
"""
return self._path
def get_closed(self):
"""
Returns if the polygon is closed
Returns
-------
closed : bool
If the path is closed
"""
return self._closed
def set_closed(self, closed):
"""
Set if 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
-------
vertices : (N, 2) numpy 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.
"""
xy = np.asarray(xy)
if self._closed:
if len(xy) and (xy[0] != xy[-1]).any():
xy = np.concatenate([xy, [xy[0]]])
else:
if len(xy) > 2 and (xy[0] == xy[-1]).all():
xy = xy[:-1]
self._path = Path(xy, closed=self._closed)
self.stale = True
_get_xy = get_xy
_set_xy = set_xy
xy = property(get_xy, set_xy,
doc='The vertices of the path as (N, 2) numpy 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 kwargs are:
%(Patch)s
"""
Patch.__init__(self, **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.vstack([v1, v2, v1[0, :], (0, 0)])
c = np.hstack([arc.codes, arc.codes, connector, Path.CLOSEPOLY])
c[len(arc.codes)] = connector
else:
# Wedge doesn't need an inner ring
v = np.vstack([arc.vertices, [(0, 0), arc.vertices[0, :], (0, 0)]])
c = np.hstack([arc.codes, [connector, connector, Path.CLOSEPOLY]])
# Shift and scale the wedge to the final location.
v *= self.r
v += np.asarray(self.center)
self._path = Path(v, 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([[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], [0.0, 0.1]],
closed=True)
@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 : scalar
x coordinate of the arrow tail
y : scalar
y coordinate of the arrow tail
dx : scalar
Arrow length in the x direction
dy : scalar
Arrow length in the y direction
width : scalar, optional (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 :class:`~matplotlib.patches.Patch`
properties:
%(Patch)s
See Also
--------
:class:`FancyArrow` :
Patch that allows independent control of the head and tail
properties
"""
Patch.__init__(self, **kwargs)
L = np.hypot(dx, dy)
if L != 0:
cx = dx / L
sx = dy / L
else:
# Account for division by zero
cx, sx = 0, 1
trans1 = transforms.Affine2D().scale(L, width)
trans2 = transforms.Affine2D.from_values(cx, sx, -sx, cx, 0.0, 0.0)
trans3 = transforms.Affine2D().translate(x, y)
trans = trans1 + trans2 + trans3
self._patch_transform = trans.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):
"""
Constructor arguments
*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.
Other valid kwargs (inherited from :class:`Patch`) are:
%(Patch)s
"""
if head_width is None:
head_width = 3 * width
if head_length is None:
head_length = 1.5 * head_width
distance = np.hypot(dx, dy)
if length_includes_head:
length = distance
else:
length = distance + head_length
if not length:
verts = np.empty([0, 2]) # display nothing if empty
else:
# start by drawing horizontal arrow, point at (0,0)
hw, hl, hs, lw = head_width, head_length, overhang, 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 length_includes_head:
left_half_arrow += [head_length, 0]
# if the head starts at 0, shift up by another head length
if head_starts_at_zero:
left_half_arrow += [head_length / 2, 0]
# figure out the shape, and complete accordingly
if shape == 'left':
coords = left_half_arrow
else:
right_half_arrow = left_half_arrow * [1, -1]
if shape == 'right':
coords = right_half_arrow
elif 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("Got unknown shape: %s" % shape)
if distance != 0:
cx = dx / distance
sx = dy / distance
else:
# Account for division by zero
cx, sx = 0, 1
M = [[cx, sx], [-sx, cx]]
verts = np.dot(coords, M) + (x + dx, y + dy)
super().__init__(verts, closed=True, **kwargs)
docstring.interpd.update({"FancyArrow": FancyArrow.__init__.__doc__})
@cbook.deprecated("3.0", alternative="FancyArrowPatch")
class YAArrow(Patch):
"""
Yet another arrow class.
This is an arrow that is defined in display space and has a tip at
*x1*, *y1* and a base at *x2*, *y2*.
"""
def __str__(self):
return "YAArrow()"
@docstring.dedent_interpd
def __init__(self, figure, xytip, xybase,
width=4, frac=0.1, headwidth=12, **kwargs):
"""
Constructor arguments:
*xytip*
(*x*, *y*) location of arrow tip
*xybase*
(*x*, *y*) location the arrow base mid point
*figure*
The `Figure` instance (used to get the dpi setting).
*width*
The width of the arrow in points
*frac*
The fraction of the arrow length occupied by the head
*headwidth*
The width of the base of the arrow head in points
Valid kwargs are:
%(Patch)s
"""
self.xytip = xytip
self.xybase = xybase
self.width = width
self.frac = frac
self.headwidth = headwidth
Patch.__init__(self, **kwargs)
# Set self.figure after Patch.__init__, since it sets self.figure to
# None
self.figure = figure
def get_path(self):
# Since this is dpi dependent, we need to recompute the path
# every time.
# the base vertices
x1, y1 = self.xytip
x2, y2 = self.xybase
k1 = self.width * self.figure.dpi / 72. / 2.
k2 = self.headwidth * self.figure.dpi / 72. / 2.
xb1, yb1, xb2, yb2 = self.getpoints(x1, y1, x2, y2, k1)
# a point on the segment 20% of the distance from the tip to the base
xm = x1 + self.frac * (x2 - x1)
ym = y1 + self.frac * (y2 - y1)
xc1, yc1, xc2, yc2 = self.getpoints(x1, y1, xm, ym, k1)
xd1, yd1, xd2, yd2 = self.getpoints(x1, y1, xm, ym, k2)
xs = self.convert_xunits([xb1, xb2, xc2, xd2, x1, xd1, xc1, xb1])
ys = self.convert_yunits([yb1, yb2, yc2, yd2, y1, yd1, yc1, yb1])
return Path(np.column_stack([xs, ys]), closed=True)
def get_patch_transform(self):
return transforms.IdentityTransform()
def getpoints(self, x1, y1, x2, y2, k):
"""
For line segment defined by (*x1*, *y1*) and (*x2*, *y2*)
return the points on the line that is perpendicular to the
line and intersects (*x2*, *y2*) and the distance from (*x2*,
*y2*) of the returned points is *k*.
"""
x1, y1, x2, y2, k = map(float, (x1, y1, x2, y2, k))
if y2 - y1 == 0:
return x2, y2 + k, x2, y2 - k
elif x2 - x1 == 0:
return x2 + k, y2, x2 - k, y2
m = (y2 - y1) / (x2 - x1)
pm = -1. / m
a = 1
b = -2 * y2
c = y2 ** 2. - k ** 2. * pm ** 2. / (1. + pm ** 2.)
y3a = (-b + math.sqrt(b ** 2 - 4 * a * c)) / (2 * a)
x3a = (y3a - y2) / pm + x2
y3b = (-b - math.sqrt(b ** 2 - 4 * a * c)) / (2 * a)
x3b = (y3b - y2) / pm + x2
return x3a, y3a, x3b, y3b
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 :class:`~matplotlib.patches.Circle`.
Valid kwargs are:
%(Patch)s
"""
RegularPolygon.__init__(self, xy,
resolution,
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 : scalar, optional
Rotation in degrees anti-clockwise.
Notes
-----
Valid keyword arguments are
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._center = xy
self.width, self.height = width, height
self.angle = angle
self._path = Path.unit_circle()
# Note: This cannot be calculated until this is added to an Axes
self._patch_transform = transforms.IdentityTransform()
def _recompute_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.
"""
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) \
.rotate_deg(self.angle) \
.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)
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 true circle at center *xy* = (*x*, *y*) with given
*radius*. Unlike :class:`~matplotlib.patches.CirclePolygon`
which is a polygonal approximation, this uses Bezier splines
and is much closer to a scale-free circle.
Valid kwargs are:
%(Patch)s
"""
Ellipse.__init__(self, 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, there are certain restrictions on using Arc:
- The arc cannot be filled.
- The arc must be used in an :class:`~.axes.Axes` instance---it can not be
added directly to a `.Figure`---because it is optimized to only render
the segments that are inside the axes bounding box with high resolution.
"""
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, optional
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 : `.Patch` properties
Most `.Patch` properties are supported as keyword arguments,
with the exception of *fill* and *facecolor* because filling is
not supported.
%(Patch)s
"""
fill = kwargs.setdefault('fill', False)
if fill:
raise ValueError("Arc objects can not be filled")
Ellipse.__init__(self, xy, width, height, angle, **kwargs)
self.theta1 = theta1
self.theta2 = 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.*
http://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 bounding
box are located. (This is done be performing an inverse
transformation on the axes 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
:meth:`matplotlib.path.Path.arc`.
"""
if not hasattr(self, 'axes'):
raise RuntimeError('Arcs can only be used in Axes instances')
self._recompute_transform()
width = self.convert_xunits(self.width)
height = self.convert_yunits(self.height)
# 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)
return np.rad2deg(np.arctan2(scale * y, x))
theta1 = theta_stretch(self.theta1, width / height)
theta2 = theta_stretch(self.theta2, width / height)
# Get width and height in pixels
width, height = self.get_transform().transform_point((width, height))
inv_error = (1.0 / 1.89818e-6) * 0.5
if width < inv_error and height < inv_error:
self._path = Path.arc(theta1, theta2)
return Patch.draw(self, renderer)
def iter_circle_intersect_on_line(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
# Single (tangential) intersection
if discrim == 0.0:
x = (D * dy) / dr2
y = (-D * dx) / dr2
yield x, y
elif discrim > 0.0:
# The definition of "sign" here is different from
# np.sign: we never want to get 0.0
if dy < 0.0:
sign_dy = -1.0
else:
sign_dy = 1.0
sqrt_discrim = np.sqrt(discrim)
for sign in (1., -1.):
x = (D * dy + sign * sign_dy * dx * sqrt_discrim) / dr2
y = (-D * dx + sign * np.abs(dy) * sqrt_discrim) / dr2
yield x, y
def iter_circle_intersect_on_line_seg(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
x0e -= epsilon
y0e -= epsilon
x1e += epsilon
y1e += epsilon
for x, y in iter_circle_intersect_on_line(x0, y0, x1, y1):
if x0e <= x <= x1e and y0e <= y <= y1e:
yield x, y
# Transforms the axes 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 = Path.unit_rectangle()
box_path_transform = transforms.BboxTransformTo(self.axes.bbox) + \
self.get_transform().inverted()
box_path = box_path.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:]):
x0, y0 = p0
x1, y1 = p1
for x, y in iter_circle_intersect_on_line_seg(x0, y0, x1, y1):
theta = np.arccos(x)
if y < 0:
theta = 2 * np.pi - theta
# Convert radians to angles
theta = np.rad2deg(theta)
if theta1 < theta < theta2:
thetas.add(theta)
thetas = sorted(thetas) + [theta2]
last_theta = theta1
theta1_rad = np.deg2rad(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 bbox_artist(artist, renderer, props=None, fill=True):
"""
This is a debug function to draw a rectangle around the bounding
box returned by
:meth:`~matplotlib.artist.Artist.get_window_extent` of an artist,
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)
l, b, w, h = bbox.bounds
l -= pad / 2.
b -= pad / 2.
w += pad
h += pad
r = Rectangle(xy=(l, b),
width=w,
height=h,
fill=fill,
)
r.set_transform(transforms.IdentityTransform())
r.set_clip_on(False)
r.update(props)
r.draw(renderer)
def draw_bbox(bbox, renderer, color='k', trans=None):
"""
This is a debug function to draw a rectangle around the bounding
box returned by
:meth:`~matplotlib.artist.Artist.get_window_extent` of an artist,
to test whether the artist is returning the correct bbox.
"""
l, b, w, h = bbox.bounds
r = Rectangle(xy=(l, b),
width=w,
height=h,
edgecolor=color,
fill=False,
)
if trans is not None:
r.set_transform(trans)
r.set_clip_on(False)
r.draw(renderer)
def _pprint_table(table, leadingspace=2):
"""
Given the list of list of strings, return a string of REST table format.
"""
col_len = [max(len(cell) for cell in column) for column in zip(*table)]
table_formatstr = ' '.join('=' * cl for cl in col_len)
lines = [
'',
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('\n'.join(lines), ' ' * leadingspace)
def _pprint_styles(_styles):
"""
A helper function for the _Style class. Given the dictionary of
{stylename: styleclass}, return a formatted string listing all the
styles. Used to update the documentation.
"""
import inspect
_table = [["Class", "Name", "Attrs"]]
for name, cls in sorted(_styles.items()):
spec = inspect.getfullargspec(cls.__init__)
if spec.defaults:
argstr = ", ".join(map(
"{}={}".format, spec.args[-len(spec.defaults):], spec.defaults
))
else:
argstr = 'None'
# adding ``quotes`` since - and | have special meaning in reST
_table.append([cls.__name__, "``%s``" % name, argstr])
return _pprint_table(_table)
def _simpleprint_styles(_styles):
"""
A helper function for the _Style class. Given the dictionary of
{stylename: styleclass}, return a string rep of the list of keys.
Used to update the documentation.
"""
return "[{}]".format("|".join(map(" '{}' ".format, sorted(_styles))))
class _Style(object):
"""
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 __new__(cls, stylename, **kw):
"""
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:
raise ValueError("Unknown style : %s" % stylename)
try:
_args_pair = [cs.split("=") for cs in _list[1:]]
_args = {k: float(v) for k, v in _args_pair}
except ValueError:
raise ValueError("Incorrect style argument : %s" % stylename)
_args.update(kw)
return _cls(**_args)
@classmethod
def get_styles(cls):
"""
A class method which returns a dictionary of available styles.
"""
return cls._style_list
@classmethod
def pprint_styles(cls):
"""
A class method which returns a string of the available styles.
"""
return _pprint_styles(cls._style_list)
@classmethod
def register(cls, name, style):
"""
Register a new style.
"""
if not issubclass(style, cls._Base):
raise ValueError("%s must be a subclass of %s" % (style,
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
class BoxStyle(_Style):
"""
:class:`BoxStyle` is a container class which defines several
boxstyle classes, which are used for :class:`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")
Following boxstyle classes are defined.
%(AvailableBoxstyles)s
An instance of any boxstyle class is an callable object,
whose call signature is::
__call__(self, x0, y0, width, height, mutation_size, aspect_ratio=1.)
and returns a :class:`Path` instance. *x0*, *y0*, *width* and
*height* specify the location and size of the box to be
drawn. *mutation_scale* determines the overall size of the
mutation (by which I mean the transformation of the rectangle to
the fancy box). *mutation_aspect* determines the aspect-ratio of
the mutation.
"""
_style_list = {}
class _Base(object):
"""
:class:`BBoxTransmuterBase` and its derivatives are used to make a
fancy box around a given rectangle. The :meth:`__call__` method
returns the :class:`~matplotlib.path.Path` of the fancy box. This
class is not an artist and actual drawing of the fancy box is done
by the :class:`FancyBboxPatch` 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.
def transmute(self, x0, y0, width, height, mutation_size):
"""
The transmute method is a very core of the
:class:`BboxTransmuter` class and must be overridden in the
subclasses. It receives the location and size of the
rectangle, and the mutation_size, with which the amount of
padding and etc. will be scaled. It returns a
:class:`~matplotlib.path.Path` instance.
"""
raise NotImplementedError('Derived must override')
def __call__(self, x0, y0, width, height, mutation_size,
aspect_ratio=1.):
"""
Given the location and size of the box, return the path of
the box around it.
- *x0*, *y0*, *width*, *height* : location and size of the box
- *mutation_size* : a reference scale for the mutation.
- *aspect_ratio* : aspect-ration for the mutation.
"""
# The __call__ method is a thin wrapper around the transmute method
# and takes care of the aspect.
if aspect_ratio is not None:
# Squeeze the given height by the aspect_ratio
y0, height = y0 / aspect_ratio, height / aspect_ratio
# call transmute method with squeezed height.
path = self.transmute(x0, y0, width, height, mutation_size)
vertices, codes = path.vertices, path.codes
# Restore the height
vertices[:, 1] = vertices[:, 1] * aspect_ratio
return Path(vertices, codes)
else:
return self.transmute(x0, y0, width, height, mutation_size)
@_register_style(_style_list)
class Square(_Base):
"""
A simple square box.
"""
def __init__(self, pad=0.3):
"""
*pad*
amount of padding
"""
self.pad = pad
super().__init__()
def transmute(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
vertices = [(x0, y0), (x1, y0), (x1, y1), (x0, y1), (x0, y0)]
codes = [Path.MOVETO] + [Path.LINETO] * 3 + [Path.CLOSEPOLY]
return Path(vertices, codes)
@_register_style(_style_list)
class Circle(_Base):
"""A simple circle box."""
def __init__(self, pad=0.3):
"""
Parameters
----------
pad : float
The amount of padding around the original box.
"""
self.pad = pad
super().__init__()
def transmute(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 LArrow(_Base):
"""
(left) Arrow Box
"""
def __init__(self, pad=0.3):
self.pad = pad
super().__init__()
def transmute(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 * .5
# adjust x0. 1.4 <- sqrt(2)
x0 = x0 + pad / 1.4
cp = [(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), (x0 + dxx, y0)]
com = [Path.MOVETO, Path.LINETO, Path.LINETO, Path.LINETO,
Path.LINETO, Path.LINETO, Path.LINETO,
Path.LINETO, Path.CLOSEPOLY]
path = Path(cp, com)
return path
@_register_style(_style_list)
class RArrow(LArrow):
"""
(right) Arrow Box
"""
def __init__(self, pad=0.3):
super().__init__(pad)
def transmute(self, x0, y0, width, height, mutation_size):
p = BoxStyle.LArrow.transmute(self, x0, y0,
width, height, mutation_size)
p.vertices[:, 0] = 2 * x0 + width - p.vertices[:, 0]
return p
@_register_style(_style_list)
class DArrow(_Base):
"""
(Double) Arrow Box
"""
# This source is copied from LArrow,
# modified to add a right arrow to the bbox.
def __init__(self, pad=0.3):
self.pad = pad
super().__init__()
def transmute(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 * .5
# adjust x0. 1.4 <- sqrt(2)
x0 = x0 + pad / 1.4
cp = [(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), (x0 + dxx, y0)] # close-poly
com = [Path.MOVETO, Path.LINETO,
Path.LINETO, Path.LINETO,
Path.LINETO,
Path.LINETO, Path.LINETO,
Path.LINETO, Path.LINETO,
Path.LINETO,
Path.LINETO, Path.CLOSEPOLY]
path = Path(cp, com)
return path
@_register_style(_style_list)
class Round(_Base):
"""
A box with round corners.
"""
def __init__(self, pad=0.3, rounding_size=None):
"""
*pad*
amount of padding
*rounding_size*
rounding radius of corners. *pad* if None
"""
self.pad = pad
self.rounding_size = rounding_size
super().__init__()
def transmute(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]
path = Path(cp, com)
return path
@_register_style(_style_list)
class Round4(_Base):
"""
Another box with round edges.
"""
def __init__(self, pad=0.3, rounding_size=None):
"""
*pad*
amount of padding
*rounding_size*
rounding size of edges. *pad* if None
"""
self.pad = pad
self.rounding_size = rounding_size
super().__init__()
def transmute(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, height = (width + 2. * pad - 2 * dr,
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]
path = Path(cp, com)
return path
@_register_style(_style_list)
class Sawtooth(_Base):
"""
A sawtooth box.
"""
def __init__(self, pad=0.3, tooth_size=None):
"""
*pad*
amount of padding
*tooth_size*
size of the sawtooth. pad* if None
"""
self.pad = pad
self.tooth_size = tooth_size
super().__init__()
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
tooth_size2 = tooth_size / 2.
width, height = (width + 2. * pad - tooth_size,
height + 2. * pad - tooth_size)
# the sizes of the vertical and horizontal sawtooth are
# separately adjusted to fit the given box size.
dsx_n = int(np.round((width - tooth_size) / (tooth_size * 2))) * 2
dsx = (width - tooth_size) / dsx_n
dsy_n = int(np.round((height - tooth_size) / (tooth_size * 2))) * 2
dsy = (height - tooth_size) / dsy_n
x0, y0 = x0 - pad + tooth_size2, y0 - pad + tooth_size2
x1, y1 = x0 + width, y0 + height
bottom_saw_x = [
x0,
*(x0 + tooth_size2 + dsx * .5 * np.arange(dsx_n * 2)),
x1 - tooth_size2,
]
bottom_saw_y = [
y0,
*([y0 - tooth_size2, y0, y0 + tooth_size2, y0] * dsx_n),
y0 - tooth_size2,
]
right_saw_x = [
x1,
*([x1 + tooth_size2, x1, x1 - tooth_size2, x1] * dsx_n),
x1 + tooth_size2,
]
right_saw_y = [
y0,
*(y0 + tooth_size2 + dsy * .5 * np.arange(dsy_n * 2)),
y1 - tooth_size2,
]
top_saw_x = [
x1,
*(x1 - tooth_size2 - dsx * .5 * np.arange(dsx_n * 2)),
x0 + tooth_size2,
]
top_saw_y = [
y1,
*([y1 + tooth_size2, y1, y1 - tooth_size2, y1] * dsx_n),
y1 + tooth_size2,
]
left_saw_x = [
x0,
*([x0 - tooth_size2, x0, x0 + tooth_size2, x0] * dsy_n),
x0 - tooth_size2,
]
left_saw_y = [
y1,
*(y1 - tooth_size2 - dsy * .5 * np.arange(dsy_n * 2)),
y0 + tooth_size2,
]
saw_vertices = [*zip(bottom_saw_x, bottom_saw_y),
*zip(right_saw_x, right_saw_y),
*zip(top_saw_x, top_saw_y),
*zip(left_saw_x, left_saw_y),
(bottom_saw_x[0], bottom_saw_y[0])]
return saw_vertices
def transmute(self, x0, y0, width, height, mutation_size):
saw_vertices = self._get_sawtooth_vertices(x0, y0, width,
height, mutation_size)
path = Path(saw_vertices, closed=True)
return path
@_register_style(_style_list)
class Roundtooth(Sawtooth):
"""A rounded tooth box."""
def __init__(self, pad=0.3, tooth_size=None):
"""
*pad*
amount of padding
*tooth_size*
size of the sawtooth. pad* if None
"""
super().__init__(pad, tooth_size)
def transmute(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([np.array(saw_vertices),
[saw_vertices[0]]], axis=0)
codes = ([Path.MOVETO] +
[Path.CURVE3, Path.CURVE3] * ((len(saw_vertices)-1)//2) +
[Path.CLOSEPOLY])
return Path(saw_vertices, codes)
if __doc__: # __doc__ could be None if -OO optimization is enabled
__doc__ = inspect.cleandoc(__doc__) % {
"AvailableBoxstyles": _pprint_styles(_style_list)}
docstring.interpd.update(
AvailableBoxstyles=_pprint_styles(BoxStyle._style_list),
ListBoxstyles=_simpleprint_styles(BoxStyle._style_list))
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 `.BoxTransmuterBase` and its derived classes.
"""
_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",
bbox_transmuter=None,
mutation_scale=1.,
mutation_aspect=None,
**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
seprarated 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:
%(AvailableBoxstyles)s
mutation_scale : float, optional, default: 1
Scaling factor applied to the attributes of the box style
(e.g. pad or rounding_size).
mutation_aspect : float, optional
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 : `.Patch` properties
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._x = xy[0]
self._y = xy[1]
self._width = width
self._height = height
if boxstyle == "custom":
if bbox_transmuter is None:
raise ValueError("bbox_transmuter argument is needed with "
"custom boxstyle")
self._bbox_transmuter = bbox_transmuter
else:
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, **kw):
"""
Set the box style.
*boxstyle* can be a string with boxstyle name with optional
comma-separated attributes. Alternatively, the attrs can
be provided as keywords::
set_boxstyle("round,pad=0.2")
set_boxstyle("round", pad=0.2)
Old attrs simply are forgotten.
Without argument (or with *boxstyle* = None), it returns
available box styles.
The following boxstyles are available:
%(AvailableBoxstyles)s
ACCEPTS: %(ListBoxstyles)s
"""
if boxstyle is None:
return BoxStyle.pprint_styles()
if isinstance(boxstyle, BoxStyle._Base) or callable(boxstyle):
self._bbox_transmuter = boxstyle
else:
self._bbox_transmuter = BoxStyle(boxstyle, **kw)
self.stale = True
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
def get_boxstyle(self):
"""Return the boxstyle object."""
return self._bbox_transmuter
def get_path(self):
"""Return the mutated path of the rectangle."""
_path = self.get_boxstyle()(self._x, self._y,
self._width, self._height,
self.get_mutation_scale(),
self.get_mutation_aspect())
return _path
# 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` of the rectangle."""
return transforms.Bbox.from_bounds(self._x, self._y,
self._width, self._height)
class ConnectionStyle(_Style):
"""
:class:`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
:class:`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
%(AvailableConnectorstyles)s
An instance of any connection style class is an callable object,
whose call signature is::
__call__(self, posA, posB,
patchA=None, patchB=None,
shrinkA=2., shrinkB=2.)
and it returns a :class:`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(object):
"""
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.
"""
class SimpleEvent:
def __init__(self, xy):
self.x, self.y = xy
def _clip(self, path, patchA, patchB):
"""
Clip the path to the boundary of the patchA and patchB.
The starting point of the path needed to be inside of the
patchA and the end point inside the patch B. The *contains*
methods of each patch object is utilized to test if the point
is inside the path.
"""
if patchA:
def insideA(xy_display):
xy_event = ConnectionStyle._Base.SimpleEvent(xy_display)
return patchA.contains(xy_event)[0]
try:
left, right = split_path_inout(path, insideA)
except ValueError:
right = path
path = right
if patchB:
def insideB(xy_display):
xy_event = ConnectionStyle._Base.SimpleEvent(xy_display)
return patchB.contains(xy_event)[0]
try:
left, right = split_path_inout(path, insideB)
except ValueError:
left = path
path = left
return path
def _shrink(self, path, shrinkA, shrinkB):
"""
Shrink the path by fixed size (in points) with shrinkA and shrinkB.
"""
if shrinkA:
insideA = inside_circle(*path.vertices[0], shrinkA)
try:
left, path = split_path_inout(path, insideA)
except ValueError:
pass
if shrinkB:
insideB = inside_circle(*path.vertices[-1], shrinkB)
try:
path, right = split_path_inout(path, insideB)
except ValueError:
pass
return path
def __call__(self, posA, posB,
shrinkA=2., shrinkB=2., patchA=None, patchB=None):
"""
Calls the *connect* method to create a path between *posA*
and *posB*. The path is clipped and shrunken.
"""
path = self.connect(posA, posB)
clipped_path = self._clip(path, patchA, patchB)
shrunk_path = self._shrink(clipped_path, shrinkA, shrinkB)
return shrunk_path
@_register_style(_style_list)
class Arc3(_Base):
"""
Creates a simple quadratic Bezier 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.):
"""
*rad*
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 Bezier curve between two
points. The middle control points 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):
"""
*angleA*
starting angle of the path
*angleB*
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 Bezier 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.):
"""
*angleA*
starting angle of the path
*angleB*
ending angle of the path
*rad*
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 Bezier 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.):
"""
*angleA* :
starting angle of the path
*angleB* :
ending angle of the path
*armA* :
length of the starting arm
*armB* :
length of the ending arm
*rad* :
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)
if __doc__:
__doc__ = inspect.cleandoc(__doc__) % {
"AvailableConnectorstyles": _pprint_styles(_style_list)}
def _point_along_a_line(x0, y0, x1, y1, d):
"""
find a point along a 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
class ArrowStyle(_Style):
"""
:class:`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 :class:`FancyArrowPatch`.
A 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
%(AvailableArrowstyles)s
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 :class:`Path` instance and a boolean
value. *path* is a :class:`Path` instance along which the arrow
will be drawn. *mutation_size* and *aspect_ratio* have the same
meaning as in :class:`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.
"""
_style_list = {}
class _Base(object):
"""
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 class only works with a simple quadratic Bezier
curve (created with Arc3Connection or Angle3Connector). This static
method is to check if the provided path is a simple quadratic
Bezier 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 a
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.
"""
path = make_path_regular(path)
if aspect_ratio is not None:
# Squeeze the given height by the aspect_ratio
vertices, codes = path.vertices[:], path.codes[:]
# Squeeze the height
vertices[:, 1] = vertices[:, 1] / aspect_ratio
path_shrunk = Path(vertices, codes)
# call transmute method with squeezed height.
path_mutated, fillable = self.transmute(path_shrunk,
linewidth,
mutation_size)
if np.iterable(fillable):
path_list = []
for p in zip(path_mutated):
v, c = p.vertices, p.codes
# Restore the height
v[:, 1] = v[:, 1] * aspect_ratio
path_list.append(Path(v, c))
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 simply concatenation of the original path + at
most two paths representing the arrow head at the begin point and the
at the end point. The arrow heads can be either open or closed.
"""
def __init__(self, beginarrow=None, endarrow=None,
fillbegin=False, fillend=False,
head_length=.2, head_width=.1):
"""
The arrows are drawn if *beginarrow* and/or *endarrow* are
true. *head_length* and *head_width* determines the size
of the arrow relative to the *mutation scale*. The
arrowhead at the begin (or end) is closed if fillbegin (or
fillend) is True.
"""
self.beginarrow, self.endarrow = beginarrow, endarrow
self.head_length, self.head_width = head_length, head_width
self.fillbegin, self.fillend = fillbegin, fillend
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 transmute(self, path, mutation_size, linewidth):
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
# 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 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 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.
_path = [Path(np.concatenate([[(x0 + ddxA, y0 + ddyA)],
path.vertices[1:-1],
[(x3 + ddxB, y3 + ddyB)]]),
path.codes)]
_fillable = [False]
if has_begin_arrow:
if self.fillbegin:
p = np.concatenate([verticesA, [verticesA[0],
verticesA[0]], ])
c = np.concatenate([codesA, [Path.LINETO, Path.CLOSEPOLY]])
_path.append(Path(p, c))
_fillable.append(True)
else:
_path.append(Path(verticesA, codesA))
_fillable.append(False)
if has_end_arrow:
if self.fillend:
_fillable.append(True)
p = np.concatenate([verticesB, [verticesB[0],
verticesB[0]], ])
c = np.concatenate([codesB, [Path.LINETO, Path.CLOSEPOLY]])
_path.append(Path(p, c))
else:
_fillable.append(False)
_path.append(Path(verticesB, codesB))
return _path, _fillable
@_register_style(_style_list, name="-")
class Curve(_Curve):
"""
A simple curve without any arrow head.
"""
def __init__(self):
super().__init__(beginarrow=False, endarrow=False)
@_register_style(_style_list, name="<-")
class CurveA(_Curve):
"""
An arrow with a head at its begin point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=True, endarrow=False,
head_length=head_length, head_width=head_width)
@_register_style(_style_list, name="->")
class CurveB(_Curve):
"""
An arrow with a head at its end point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=False, endarrow=True,
head_length=head_length, head_width=head_width)
@_register_style(_style_list, name="<->")
class CurveAB(_Curve):
"""
An arrow with heads both at the begin and the end point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=True, endarrow=True,
head_length=head_length, head_width=head_width)
@_register_style(_style_list, name="<|-")
class CurveFilledA(_Curve):
"""
An arrow with filled triangle head at the begin.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=True, endarrow=False,
fillbegin=True, fillend=False,
head_length=head_length, head_width=head_width)
@_register_style(_style_list, name="-|>")
class CurveFilledB(_Curve):
"""
An arrow with filled triangle head at the end.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=False, endarrow=True,
fillbegin=False, fillend=True,
head_length=head_length, head_width=head_width)
@_register_style(_style_list, name="<|-|>")
class CurveFilledAB(_Curve):
"""
An arrow with filled triangle heads at both ends.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.2
Width of the arrow head
"""
super().__init__(beginarrow=True, endarrow=True,
fillbegin=True, fillend=True,
head_length=head_length, head_width=head_width)
class _Bracket(_Base):
def __init__(self, bracketA=None, bracketB=None,
widthA=1., widthB=1.,
lengthA=0.2, lengthB=0.2,
angleA=None, angleB=None,
scaleA=None, scaleB=None):
self.bracketA, self.bracketB = bracketA, bracketB
self.widthA, self.widthB = widthA, widthB
self.lengthA, self.lengthB = lengthA, lengthB
self.angleA, self.angleB = angleA, angleB
self.scaleA, self.scaleB = scaleA, scaleB
def _get_bracket(self, x0, y0,
cos_t, sin_t, width, length):
# 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]
return vertices_arrow, codes_arrow
def transmute(self, path, mutation_size, linewidth):
if self.scaleA is None:
scaleA = mutation_size
else:
scaleA = self.scaleA
if self.scaleB is None:
scaleB = mutation_size
else:
scaleB = self.scaleB
vertices_list, codes_list = [], []
if self.bracketA:
x0, y0 = path.vertices[0]
x1, y1 = path.vertices[1]
cos_t, sin_t = get_cos_sin(x1, y1, x0, y0)
verticesA, codesA = self._get_bracket(x0, y0, cos_t, sin_t,
self.widthA * scaleA,
self.lengthA * scaleA)
vertices_list.append(verticesA)
codes_list.append(codesA)
vertices_list.append(path.vertices)
codes_list.append(path.codes)
if self.bracketB:
x0, y0 = path.vertices[-1]
x1, y1 = path.vertices[-2]
cos_t, sin_t = get_cos_sin(x1, y1, x0, y0)
verticesB, codesB = self._get_bracket(x0, y0, cos_t, sin_t,
self.widthB * scaleB,
self.lengthB * scaleB)
vertices_list.append(verticesB)
codes_list.append(codesB)
vertices = np.concatenate(vertices_list)
codes = np.concatenate(codes_list)
p = Path(vertices, codes)
return p, False
@_register_style(_style_list, name="]-[")
class BracketAB(_Bracket):
"""
An arrow with a bracket(]) at both ends.
"""
def __init__(self,
widthA=1., lengthA=0.2, angleA=None,
widthB=1., lengthB=0.2, angleB=None):
"""
Parameters
----------
widthA : float, optional, default : 1.0
Width of the bracket
lengthA : float, optional, default : 0.2
Length of the bracket
angleA : float, optional, default : None
Angle between the bracket and the line
widthB : float, optional, default : 1.0
Width of the bracket
lengthB : float, optional, default : 0.2
Length of the bracket
angleB : float, optional, default : None
Angle between the bracket and the line
"""
super().__init__(True, True,
widthA=widthA, lengthA=lengthA, angleA=angleA,
widthB=widthB, lengthB=lengthB, angleB=angleB)
@_register_style(_style_list, name="]-")
class BracketA(_Bracket):
"""
An arrow with a bracket(]) at its end.
"""
def __init__(self, widthA=1., lengthA=0.2, angleA=None):
"""
Parameters
----------
widthA : float, optional, default : 1.0
Width of the bracket
lengthA : float, optional, default : 0.2
Length of the bracket
angleA : float, optional, default : None
Angle between the bracket and the line
"""
super().__init__(True, None,
widthA=widthA, lengthA=lengthA, angleA=angleA)
@_register_style(_style_list, name="-[")
class BracketB(_Bracket):
"""
An arrow with a bracket([) at its end.
"""
def __init__(self, widthB=1., lengthB=0.2, angleB=None):
"""
Parameters
----------
widthB : float, optional, default : 1.0
Width of the bracket
lengthB : float, optional, default : 0.2
Length of the bracket
angleB : float, optional, default : None
Angle between the bracket and the line
"""
super().__init__(None, True,
widthB=widthB, lengthB=lengthB, angleB=angleB)
@_register_style(_style_list, name="|-|")
class BarAB(_Bracket):
"""
An arrow with a bar(|) at both ends.
"""
def __init__(self,
widthA=1., angleA=None,
widthB=1., angleB=None):
"""
Parameters
----------
widthA : float, optional, default : 1.0
Width of the bracket
angleA : float, optional, default : None
Angle between the bracket and the line
widthB : float, optional, default : 1.0
Width of the bracket
angleB : float, optional, default : None
Angle between the bracket and the line
"""
super().__init__(True, True,
widthA=widthA, lengthA=0, angleA=angleA,
widthB=widthB, lengthB=0, angleB=angleB)
@_register_style(_style_list)
class Simple(_Base):
"""
A simple arrow. Only works with a quadratic Bezier curve.
"""
def __init__(self, head_length=.5, head_width=.5, tail_width=.2):
"""
Parameters
----------
head_length : float, optional, default : 0.5
Length of the arrow head
head_width : float, optional, default : 0.5
Width of the arrow head
tail_width : float, optional, 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):
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, tolerance=0.01)
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 Bezier curve.
"""
def __init__(self, head_length=.4, head_width=.4, tail_width=.4):
"""
Parameters
----------
head_length : float, optional, default : 0.4
Length of the arrow head
head_width : float, optional, default : 0.4
Width of the arrow head
tail_width : float, optional, 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):
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, tolerance=0.01)
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, tolerance=0.01)
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, tolerance=0.01)
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 Bezier curve. The
begin 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*tail_width.
"""
def __init__(self, tail_width=.3, shrink_factor=0.5):
"""
Parameters
----------
tail_width : float, optional, default : 0.3
Width of the tail
shrink_factor : float, optional, 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):
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
if __doc__:
__doc__ = inspect.cleandoc(__doc__) % {
"AvailableArrowstyles": _pprint_styles(_style_list)}
docstring.interpd.update(
AvailableArrowstyles=_pprint_styles(ArrowStyle._style_list),
AvailableConnectorstyles=_pprint_styles(ConnectionStyle._style_list),
)
class FancyArrowPatch(Patch):
"""
A fancy arrow patch. It draws an arrow using the :class:`ArrowStyle`.
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 self.__class__.__name__ \
+ "((%g, %g)->(%g, %g))" % (x1, y1, x2, y2)
else:
return self.__class__.__name__ \
+ "(%s)" % (str(self._path_original),)
@docstring.dedent_interpd
def __init__(self, posA=None, posB=None,
path=None,
arrowstyle="simple",
arrow_transmuter=None,
connectionstyle="arc3",
connector=None,
patchA=None,
patchB=None,
shrinkA=2,
shrinkB=2,
mutation_scale=1,
mutation_aspect=None,
dpi_cor=1,
**kwargs):
"""
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 : None, tuple, optional (default: None)
(x,y) coordinates of arrow tail and arrow head respectively.
path : None, Path (default: None)
:class:`matplotlib.path.Path` instance. If provided, an arrow is
drawn along this path and *patchA*, *patchB*, *shrinkA*, and
*shrinkB* are ignored.
arrowstyle : str or ArrowStyle, optional (default: 'simple')
Describes how the fancy arrow will be
drawn. It can be string of the available arrowstyle names,
with optional comma-separated attributes, or an
:class:`ArrowStyle` instance. The optional attributes are meant to
be scaled with the *mutation_scale*. The following arrow styles are
available:
%(AvailableArrowstyles)s
arrow_transmuter
Ignored
connectionstyle : str, ConnectionStyle, or None, optional
(default: 'arc3')
Describes how *posA* and *posB* are connected. It can be an
instance of the :class:`ConnectionStyle` class or a string of the
connectionstyle name, with optional comma-separated attributes. The
following connection styles are available:
%(AvailableConnectorstyles)s
connector
Ignored
patchA, patchB : None, Patch, optional (default: None)
Head and tail patch respectively. :class:`matplotlib.patch.Patch`
instance.
shrinkA, shrinkB : scalar, optional (default: 2)
Shrinking factor of the tail and head of the arrow respectively
mutation_scale : scalar, optional (default: 1)
Value with which attributes of *arrowstyle* (e.g., *head_length*)
will be scaled.
mutation_aspect : None, scalar, optional (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.
dpi_cor : scalar, optional (default: 1)
dpi_cor is currently used for linewidth-related things and shrink
factor. Mutation scale is affected by this.
Notes
-----
Valid kwargs are:
%(Patch)s
"""
if arrow_transmuter is not None:
cbook.warn_deprecated(
3.0,
message=('The "arrow_transmuter" keyword argument is not used,'
' and will be removed in Matplotlib 3.1'),
name='arrow_transmuter',
obj_type='keyword argument')
if connector is not None:
cbook.warn_deprecated(
3.0,
message=('The "connector" keyword argument is not used,'
' and will be removed in Matplotlib 3.1'),
name='connector',
obj_type='keyword argument')
Patch.__init__(self, **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.set_dpi_cor(dpi_cor)
def set_dpi_cor(self, dpi_cor):
"""
dpi_cor is currently used for linewidth-related things and
shrink factor. Mutation scale is affected by this.
Parameters
----------
dpi_cor : scalar
"""
self._dpi_cor = dpi_cor
self.stale = True
def get_dpi_cor(self):
"""
dpi_cor is currently used for linewidth-related things and
shrink factor. Mutation scale is affected by this.
Returns
-------
dpi_cor : scalar
"""
return self._dpi_cor
def set_positions(self, posA, posB):
"""
Set the begin 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 : Patch
:class:`matplotlib.patch.Patch` instance.
"""
self.patchA = patchA
self.stale = True
def set_patchB(self, patchB):
"""
Set the head patch.
Parameters
----------
patchB : Patch
:class:`matplotlib.patch.Patch` instance.
"""
self.patchB = patchB
self.stale = True
def set_connectionstyle(self, connectionstyle, **kw):
"""
Set the connection style. Old attributes are forgotten.
Parameters
----------
connectionstyle : None, ConnectionStyle instance, or string
Can be a string with connectionstyle name with
optional comma-separated attributes, e.g.::
set_connectionstyle("arc,angleA=0,armA=30,rad=10")
Alternatively, the attributes can be provided as keywords, e.g.::
set_connectionstyle("arc", angleA=0,armA=30,rad=10)
Without any arguments (or with ``connectionstyle=None``), return
available styles as a list of strings.
"""
if connectionstyle is None:
return ConnectionStyle.pprint_styles()
if (isinstance(connectionstyle, ConnectionStyle._Base) or
callable(connectionstyle)):
self._connector = connectionstyle
else:
self._connector = ConnectionStyle(connectionstyle, **kw)
self.stale = True
def get_connectionstyle(self):
"""
Return the :class:`ConnectionStyle` instance.
"""
return self._connector
def set_arrowstyle(self, arrowstyle=None, **kw):
"""
Set the arrow style. Old attributes are forgotten. Without arguments
(or with ``arrowstyle=None``) returns available box styles as a list of
strings.
Parameters
----------
arrowstyle : None, ArrowStyle, str, optional (default: None)
Can be a string with arrowstyle name with optional comma-separated
attributes, e.g.::
set_arrowstyle("Fancy,head_length=0.2")
Alternatively attributes can be provided as keywords, e.g.::
set_arrowstyle("fancy", head_length=0.2)
"""
if arrowstyle is None:
return ArrowStyle.pprint_styles()
if isinstance(arrowstyle, ArrowStyle._Base):
self._arrow_transmuter = arrowstyle
else:
self._arrow_transmuter = ArrowStyle(arrowstyle, **kw)
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 : scalar
"""
self._mutation_scale = scale
self.stale = True
def get_mutation_scale(self):
"""
Return the mutation scale.
Returns
-------
scale : scalar
"""
return self._mutation_scale
def set_mutation_aspect(self, aspect):
"""
Set the aspect ratio of the bbox mutation.
Parameters
----------
aspect : scalar
"""
self._mutation_aspect = aspect
self.stale = True
def get_mutation_aspect(self):
"""
Return the aspect ratio of the bbox mutation.
"""
return self._mutation_aspect
def get_path(self):
"""
Return the path of the arrow in the data coordinates. Use
get_path_in_displaycoord() method to retrieve the arrow path
in display coordinates.
"""
_path, fillable = self.get_path_in_displaycoord()
if np.iterable(fillable):
_path = concatenate_paths(_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.get_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 = self.get_transform().transform_point(posA)
posB = self.get_transform().transform_point(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())
# if not fillable:
# self._fill = False
return _path, fillable
def draw(self, renderer):
if not self.get_visible():
return
# FancyArrowPatch has traditionally forced the capstyle and joinstyle.
with cbook._setattr_cm(self, _capstyle='round', _joinstyle='round'), \
self._bind_draw_path_function(renderer) as draw_path:
# FIXME : dpi_cor is for the dpi-dependency of the linewidth. There
# could be room for improvement.
self.set_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()
for p, f in zip(path, fillable):
draw_path(
p, affine,
self._facecolor if f and self._facecolor[3] else None)
class ConnectionPatch(FancyArrowPatch):
"""
A :class:`~matplotlib.patches.ConnectionPatch` class is to make
connecting lines between 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="-",
arrow_transmuter=None,
connectionstyle="arc3",
connector=None,
patchA=None,
patchB=None,
shrinkA=0.,
shrinkB=0.,
mutation_scale=10.,
mutation_aspect=None,
clip_on=False,
dpi_cor=1.,
**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 :class:`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
'axes points' points from lower left corner of axes
'axes pixels' pixels from lower left corner of axes
'axes fraction' 0,1 is lower left of axes and 1,1 is upper right
'data' use the coordinate system of the object being
annotated (default)
'offset points' Specify an 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`.
"""
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
FancyArrowPatch.__init__(self,
posA=(0, 0), posB=(1, 1),
arrowstyle=arrowstyle,
arrow_transmuter=arrow_transmuter,
connectionstyle=connectionstyle,
connector=connector,
patchA=patchA,
patchB=patchB,
shrinkA=shrinkA,
shrinkB=shrinkB,
mutation_scale=mutation_scale,
mutation_aspect=mutation_aspect,
clip_on=clip_on,
dpi_cor=dpi_cor,
**kwargs)
# if True, draw annotation only if self.xy is inside the axes
self._annotation_clip = None
def _get_xy(self, x, y, s, axes=None):
"""
calculate the pixel position of given point
"""
if axes is None:
axes = self.axes
if s == 'data':
trans = axes.transData
x = float(self.convert_xunits(x))
y = float(self.convert_yunits(y))
return trans.transform_point((x, y))
elif s == 'offset points':
# convert the data point
dx, dy = self.xy
# prevent recursion
if self.xycoords == 'offset points':
return self._get_xy(dx, dy, 'data')
dx, dy = self._get_xy(dx, dy, self.xycoords)
# convert the offset
dpi = self.figure.get_dpi()
x *= dpi / 72.
y *= dpi / 72.
# add the offset to the data point
x += dx
y += dy
return x, y
elif s == 'polar':
theta, r = x, y
x = r * np.cos(theta)
y = r * np.sin(theta)
trans = axes.transData
return trans.transform_point((x, y))
elif s == 'figure points':
# points from the lower left corner of the figure
dpi = self.figure.dpi
l, b, w, h = self.figure.bbox.bounds
r = l + w
t = b + h
x *= dpi / 72.
y *= dpi / 72.
if x < 0:
x = r + x
if y < 0:
y = t + y
return x, y
elif s == 'figure pixels':
# pixels from the lower left corner of the figure
l, b, w, h = self.figure.bbox.bounds
r = l + w
t = b + h
if x < 0:
x = r + x
if y < 0:
y = t + y
return x, y
elif s == 'figure fraction':
# (0,0) is lower left, (1,1) is upper right of figure
trans = self.figure.transFigure
return trans.transform_point((x, y))
elif s == 'axes points':
# points from the lower left corner of the axes
dpi = self.figure.dpi
l, b, w, h = axes.bbox.bounds
r = l + w
t = b + h
if x < 0:
x = r + x * dpi / 72.
else:
x = l + x * dpi / 72.
if y < 0:
y = t + y * dpi / 72.
else:
y = b + y * dpi / 72.
return x, y
elif s == 'axes pixels':
#pixels from the lower left corner of the axes
l, b, w, h = axes.bbox.bounds
r = l + w
t = b + h
if x < 0:
x = r + x
else:
x = l + x
if y < 0:
y = t + y
else:
y = b + y
return x, y
elif s == 'axes fraction':
#(0,0) is lower left, (1,1) is upper right of axes
trans = axes.transAxes
return trans.transform_point((x, y))
elif isinstance(s, transforms.Transform):
return s.transform_point((x, y))
else:
raise ValueError("{} is not a valid coordinate "
"transformation.".format(s))
def set_annotation_clip(self, b):
"""
set *annotation_clip* attribute.
* True: the annotation will only be drawn when self.xy is inside the
axes.
* False: the annotation will always be drawn regardless of its
position.
* None: the self.xy will be checked only if *xycoords* is "data"
"""
self._annotation_clip = b
self.stale = True
def get_annotation_clip(self):
"""
Return *annotation_clip* attribute.
See :meth:`set_annotation_clip` for the meaning of return values.
"""
return self._annotation_clip
def get_path_in_displaycoord(self):
"""
Return the mutated path of the arrow in the display coord
"""
dpi_cor = self.get_dpi_cor()
x, y = self.xy1
posA = self._get_xy(x, y, self.coords1, self.axesA)
x, y = self.xy2
posB = self._get_xy(x, y, 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"):
x, y = self.xy1
xy_pixel = self._get_xy(x, y, 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"):
x, y = self.xy2
xy_pixel = self._get_xy(x, y, 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
FancyArrowPatch.draw(self, renderer)