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# -*- coding: utf-8 -*-
from __future__ import division
import math
import matplotlib as mpl
import numpy as np
import matplotlib.cbook as cbook
import matplotlib.artist as artist
from matplotlib.artist import allow_rasterization
import matplotlib.colors as colors
import matplotlib.transforms as transforms
from matplotlib.path import Path
# these are not available for the object inspector until after the
# class is built so we define an initial set here for the init
# function and they will be overridden after object definition
artist.kwdocd['Patch'] = """
================= ==============================================
Property Description
================= ==============================================
alpha float
animated [True | False]
antialiased or aa [True | False]
clip_box a matplotlib.transform.Bbox instance
clip_on [True | False]
edgecolor or ec any matplotlib color
facecolor or fc any matplotlib color
figure a matplotlib.figure.Figure instance
fill [True | False]
hatch unknown
label any string
linewidth or lw float
lod [True | False]
transform a matplotlib.transform transformation instance
visible [True | False]
zorder any number
================= ==============================================
"""
class Patch(artist.Artist):
"""
A patch is a 2D thingy 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
def __str__(self):
return str(self.__class__).split('.')[-1]
def get_verts(self):
"""
Return a copy of the vertices used in this patch
If the patch contains Bézier curves, the curves will be
interpolated by line segments. To access the curves as
curves, use :meth:`get_path`.
"""
trans = self.get_transform()
path = self.get_path()
polygons = path.to_polygons(trans)
if len(polygons):
return polygons[0]
return []
def contains(self, mouseevent):
"""Test whether the mouse event occurred in the patch.
Returns T/F, {}
"""
# This is a general version of contains that should work on any
# patch with a path. However, patches that have a faster
# algebraic solution to hit-testing should override this
# method.
if callable(self._contains): return self._contains(self,mouseevent)
inside = self.get_path().contains_point(
(mouseevent.x, mouseevent.y), self.get_transform())
return inside, {}
def contains_point(self, point):
"""
Returns *True* if the given point is inside the path
(transformed with its transform attribute).
"""
return self.get_path().contains_point(point,
self.get_transform())
def update_from(self, other):
"""
Updates this :class:`Patch` from the properties of *other*.
"""
artist.Artist.update_from(self, other)
self.set_edgecolor(other.get_edgecolor())
self.set_facecolor(other.get_facecolor())
self.set_fill(other.get_fill())
self.set_hatch(other.get_hatch())
self.set_linewidth(other.get_linewidth())
self.set_linestyle(other.get_linestyle())
self.set_transform(other.get_data_transform())
self.set_figure(other.get_figure())
self.set_alpha(other.get_alpha())
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 artist.Artist.get_transform(self)
def get_patch_transform(self):
return transforms.IdentityTransform()
def get_antialiased(self):
"""
Returns True if the :class:`Patch` is to be drawn with antialiasing.
"""
return self._antialiased
get_aa = get_antialiased
def get_edgecolor(self):
"""
Return the edge color of the :class:`Patch`.
"""
return self._edgecolor
get_ec = get_edgecolor
def get_facecolor(self):
"""
Return the face color of the :class:`Patch`.
"""
return self._facecolor
get_fc = get_facecolor
def get_linewidth(self):
"""
Return the line width in points.
"""
return self._linewidth
get_lw = get_linewidth
def get_linestyle(self):
"""
Return the linestyle. Will be one of ['solid' | 'dashed' |
'dashdot' | 'dotted']
"""
return self._linestyle
get_ls = get_linestyle
def set_antialiased(self, aa):
"""
Set whether to use antialiased rendering
ACCEPTS: [True | False] or None for default
"""
if aa is None: aa = mpl.rcParams['patch.antialiased']
self._antialiased = aa
def set_aa(self, aa):
"""alias for set_antialiased"""
return self.set_antialiased(aa)
def set_edgecolor(self, color):
"""
Set the patch edge color
ACCEPTS: mpl color spec, or None for default, or 'none' for no color
"""
if color is None: color = mpl.rcParams['patch.edgecolor']
self._edgecolor = color
def set_ec(self, color):
"""alias for set_edgecolor"""
return self.set_edgecolor(color)
def set_facecolor(self, color):
"""
Set the patch face color
ACCEPTS: mpl color spec, or None for default, or 'none' for no color
"""
if color is None: color = mpl.rcParams['patch.facecolor']
self._facecolor = color
def set_fc(self, color):
"""alias for set_facecolor"""
return self.set_facecolor(color)
def set_color(self, c):
"""
Set both the edgecolor and the facecolor.
ACCEPTS: matplotlib color arg or sequence of rgba tuples
.. seealso::
:meth:`set_facecolor`, :meth:`set_edgecolor`
For setting the edge or face color individually.
"""
self.set_facecolor(c)
self.set_edgecolor(c)
def set_linewidth(self, w):
"""
Set the patch linewidth in points
ACCEPTS: float or None for default
"""
if w is None: w = mpl.rcParams['patch.linewidth']
self._linewidth = w
def set_lw(self, lw):
"""alias for set_linewidth"""
return self.set_linewidth(lw)
def set_linestyle(self, ls):
"""
Set the patch linestyle
ACCEPTS: ['solid' | 'dashed' | 'dashdot' | 'dotted']
"""
if ls is None: ls = "solid"
self._linestyle = ls
def set_ls(self, ls):
"""alias for set_linestyle"""
return self.set_linestyle(ls)
def set_fill(self, b):
"""
Set whether to fill the patch
ACCEPTS: [True | False]
"""
self.fill = b
def get_fill(self):
'return whether fill is set'
return self.fill
def set_hatch(self, hatch):
"""
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.
ACCEPTS: [ '/' | '\\\\' | '|' | '-' | '+' | 'x' | 'o' | 'O' | '.' | '*' ]
"""
self._hatch = hatch
def get_hatch(self):
'Return the current hatching pattern'
return self._hatch
@allow_rasterization
def draw(self, renderer):
'Draw the :class:`Patch` to the given *renderer*.'
if not self.get_visible(): return
renderer.open_group('patch', self.get_gid())
gc = renderer.new_gc()
if cbook.is_string_like(self._edgecolor) and self._edgecolor.lower()=='none':
gc.set_linewidth(0)
else:
gc.set_foreground(self._edgecolor)
gc.set_linewidth(self._linewidth)
gc.set_linestyle(self._linestyle)
gc.set_antialiased(self._antialiased)
self._set_gc_clip(gc)
gc.set_capstyle('projecting')
gc.set_url(self._url)
gc.set_snap(self._snap)
if (not self.fill or self._facecolor is None or
(cbook.is_string_like(self._facecolor) and self._facecolor.lower()=='none')):
rgbFace = None
gc.set_alpha(1.0)
else:
r, g, b, a = colors.colorConverter.to_rgba(self._facecolor, self._alpha)
rgbFace = (r, g, b)
gc.set_alpha(a)
if self._hatch:
gc.set_hatch(self._hatch )
path = self.get_path()
transform = self.get_transform()
tpath = transform.transform_path_non_affine(path)
affine = transform.get_affine()
renderer.draw_path(gc, tpath, affine, rgbFace)
gc.restore()
renderer.close_group('patch')
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())
artist.kwdocd['Patch'] = patchdoc = artist.kwdoc(Patch)
for k in ('Rectangle', 'Circle', 'RegularPolygon', 'Polygon', 'Wedge', 'Arrow',
'FancyArrow', 'YAArrow', 'CirclePolygon', 'Ellipse', 'Arc',
'FancyBboxPatch'):
artist.kwdocd[k] = patchdoc
# define Patch.__init__ after the class so that the docstring can be
# auto-generated.
def __patch__init__(self,
edgecolor=None,
facecolor=None,
linewidth=None,
linestyle=None,
antialiased = None,
hatch = None,
fill=True,
**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 antialiased is None: antialiased = mpl.rcParams['patch.antialiased']
self.set_edgecolor(edgecolor)
self.set_facecolor(facecolor)
self.set_linewidth(linewidth)
self.set_linestyle(linestyle)
self.set_antialiased(antialiased)
self.set_hatch(hatch)
self.fill = fill
self._combined_transform = transforms.IdentityTransform()
if len(kwargs): artist.setp(self, **kwargs)
__patch__init__.__doc__ = cbook.dedent(__patch__init__.__doc__) % artist.kwdocd
Patch.__init__ = __patch__init__
class Shadow(Patch):
def __str__(self):
return "Shadow(%s)"%(str(self.patch))
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()
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def _update(self):
self.update_from(self.patch)
if self.props is not None:
self.update(self.props)
else:
r,g,b,a = colors.colorConverter.to_rgba(self.patch.get_facecolor())
rho = 0.3
r = rho*r
g = rho*g
b = rho*b
self.set_facecolor((r,g,b,0.5))
self.set_edgecolor((r,g,b,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):
"""
Draw a rectangle with lower left at *xy* = (*x*, *y*) with
specified *width* and *height*.
"""
def __str__(self):
return self.__class__.__name__ \
+ "(%g,%g;%gx%g)" % (self._x, self._y, self._width, self._height)
def __init__(self, xy, width, height, **kwargs):
"""
*fill* is a boolean indicating whether to fill the rectangle
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self._x = xy[0]
self._y = xy[1]
self._width = width
self._height = height
# Note: This cannot be calculated until this is added to an Axes
self._rect_transform = transforms.IdentityTransform()
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
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
maxes it very important to call the accessor method and
not directly access the transformation member variable.
"""
x = self.convert_xunits(self._x)
y = self.convert_yunits(self._y)
width = self.convert_xunits(self._width)
height = self.convert_yunits(self._height)
bbox = transforms.Bbox.from_bounds(x, y, width, height)
self._rect_transform = transforms.BboxTransformTo(bbox)
def get_patch_transform(self):
self._update_patch_transform()
return self._rect_transform
def contains(self, mouseevent):
# special case the degenerate rectangle
if self._width==0 or self._height==0:
return False, {}
x, y = self.get_transform().inverted().transform_point(
(mouseevent.x, mouseevent.y))
return (x >= 0.0 and x <= 1.0 and y >= 0.0 and y <= 1.0), {}
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_xy(self):
"Return the left and bottom coords of the rectangle"
return self._x, 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
ACCEPTS: float
"""
self._x = x
def set_y(self, y):
"""
Set the bottom coord of the rectangle
ACCEPTS: float
"""
self._y = y
def set_xy(self, xy):
"""
Set the left and bottom coords of the rectangle
ACCEPTS: 2-item sequence
"""
self._x, self._y = xy
def set_width(self, w):
"""
Set the width rectangle
ACCEPTS: float
"""
self._width = w
def set_height(self, h):
"""
Set the width rectangle
ACCEPTS: float
"""
self._height = h
def set_bounds(self, *args):
"""
Set the bounds of the rectangle: l,b,w,h
ACCEPTS: (left, bottom, width, height)
"""
if len(args)==0:
l,b,w,h = args[0]
else:
l,b,w,h = args
self._x = l
self._y = b
self._width = w
self._height = h
def get_bbox(self):
return transforms.Bbox.from_bounds(self._x, self._y, self._width, self._height)
xy = property(get_xy, set_xy)
class RegularPolygon(Patch):
"""
A regular polygon patch.
"""
def __str__(self):
return "Poly%d(%g,%g)"%(self._numVertices,self._xy[0],self._xy[1])
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)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def _update_transform(self):
self._poly_transform.clear() \
.scale(self.radius) \
.rotate(self.orientation) \
.translate(*self.xy)
def _get_xy(self):
return self._xy
def _set_xy(self, xy):
self._update_transform()
xy = property(_get_xy, _set_xy)
def _get_orientation(self):
return self._orientation
def _set_orientation(self, xy):
self._orientation = xy
orientation = property(_get_orientation, _set_orientation)
def _get_radius(self):
return self._radius
def _set_radius(self, xy):
self._radius = xy
radius = property(_get_radius, _set_radius)
def _get_numvertices(self):
return self._numVertices
def _set_numvertices(self, numVertices):
self._numVertices = numVertices
numvertices = property(_get_numvertices, _set_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.
"""
def __str__(self):
return "Poly((%g, %g) ...)" % tuple(self._path.vertices[0])
def __init__(self, path, **kwargs):
"""
*path* is a :class:`matplotlib.path.Path` object.
Valid kwargs are:
%(Patch)s
.. seealso::
:class:`Patch`
For additional kwargs
"""
Patch.__init__(self, **kwargs)
self._path = path
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def get_path(self):
return self._path
class Polygon(Patch):
"""
A general polygon patch.
"""
def __str__(self):
return "Poly((%g, %g) ...)" % tuple(self._path.vertices[0])
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
.. seealso::
:class:`Patch`
For additional kwargs
"""
Patch.__init__(self, **kwargs)
xy = np.asarray(xy, np.float_)
self._path = Path(xy)
self.set_closed(closed)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def get_path(self):
return self._path
def get_closed(self):
return self._closed
def set_closed(self, closed):
self._closed = closed
xy = self._get_xy()
if 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[0:-1]
self._set_xy(xy)
def get_xy(self):
return self._path.vertices
def set_xy(self, vertices):
self._path = Path(vertices)
_get_xy = get_xy
_set_xy = set_xy
xy = property(
get_xy, set_xy, None,
"""Set/get the vertices of the polygon. This property is
provided for backward compatibility with matplotlib 0.91.x
only. New code should use
:meth:`~matplotlib.patches.Polygon.get_xy` and
:meth:`~matplotlib.patches.Polygon.set_xy` instead.""")
class Wedge(Patch):
"""
Wedge shaped patch.
"""
def __str__(self):
return "Wedge(%g,%g)"%(self.theta1,self.theta2)
def __init__(self, center, r, theta1, theta2, width=None, **kwargs):
"""
Draw 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
# Inner and outer rings are connected unless the annulus is complete
delta=theta2-theta1
if abs((theta2-theta1) - 360) <= 1e-12:
theta1,theta2 = 0,360
connector = Path.MOVETO
else:
connector = Path.LINETO
# Form the outer ring
arc = Path.arc(theta1,theta2)
if width is not None:
# Partial annulus needs to draw the outter ring
# followed by a reversed and scaled inner ring
v1 = arc.vertices
v2 = arc.vertices[::-1]*float(r-width)/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 *= r
v += np.asarray(center)
self._path = Path(v,c)
self._patch_transform = transforms.IdentityTransform()
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def get_path(self):
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] ] )
def __init__( self, x, y, dx, dy, width=1.0, **kwargs ):
"""
Draws an arrow, starting at (*x*, *y*), direction and length
given by (*dx*, *dy*) the width of the arrow is scaled by *width*.
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
L = np.sqrt(dx**2+dy**2) or 1 # account for div by zero
cx = float(dx)/L
sx = float(dy)/L
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()
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
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.
"""
def __str__(self):
return "FancyArrow()"
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
*length_includes_head*:
*True* if head is counted in calculating the length.
*shape*: ['full', 'left', 'right']
*overhang*:
distance that the arrow is swept back (0 overhang means
triangular shape).
*head_starts_at_zero*:
If *True*, the head starts being drawn at coordinate 0
instead of ending at coordinate 0.
Valid kwargs 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.sqrt(dx**2 + dy**2)
if length_includes_head:
length=distance
else:
length=distance+head_length
if not length:
verts = [] #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/2.0], #leftmost
[-hl*(1-hs), -lw/2.0], #meets stem
[-length, -lw/2.0], #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, 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
cx = float(dx)/distance
sx = float(dy)/distance
M = np.array([[cx, sx],[-sx,cx]])
verts = np.dot(coords, M) + (x+dx, y+dy)
Polygon.__init__(self, map(tuple, verts), **kwargs)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
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()"
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 :class:`~matplotlib.figure.Figure` instance
(fig.dpi)
*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.figure = figure
self.xytip = xytip
self.xybase = xybase
self.width = width
self.frac = frac
self.headwidth = headwidth
Patch.__init__(self, **kwargs)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
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
theta = math.atan2(y2-y1, x2-x1)
r = math.sqrt((y2-y1)**2. + (x2-x1)**2.)
xm = x1 + self.frac * r * math.cos(theta)
ym = y1 + self.frac * r * math.sin(theta)
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(zip(xs, ys))
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):
return "CirclePolygon(%d,%d)"%self.center
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)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
class Ellipse(Patch):
"""
A scale-free ellipse.
"""
def __str__(self):
return "Ellipse(%s,%s;%sx%s)"%(self.center[0],self.center[1],self.width,self.height)
def __init__(self, xy, width, height, angle=0.0, **kwargs):
"""
*xy*
center of ellipse
*width*
length of horizontal axis
*height*
length of vertical axis
*angle*
rotation in degrees (anti-clockwise)
Valid kwargs 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()
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def _recompute_transform(self):
"""NOTE: This cannot be called until after this has been added
to an Axes, otherwise unit conversion will fail. This
maxes 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 vertices of the rectangle
"""
return self._path
def get_patch_transform(self):
self._recompute_transform()
return self._patch_transform
def contains(self,ev):
if ev.x is None or ev.y is None: return False,{}
x, y = self.get_transform().inverted().transform_point((ev.x, ev.y))
return (x*x + y*y) <= 1.0, {}
class Circle(Ellipse):
"""
A circle patch.
"""
def __str__(self):
return "Circle((%g,%g),r=%g)"%(self.center[0],self.center[1],self.radius)
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 Bézier splines
and is much closer to a scale-free circle.
Valid kwargs are:
%(Patch)s
"""
if 'resolution' in kwargs:
import warnings
warnings.warn('Circle is now scale free. Use CirclePolygon instead!', DeprecationWarning)
kwargs.pop('resolution')
self.radius = radius
Ellipse.__init__(self, xy, radius*2, radius*2, **kwargs)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def set_radius(self, radius):
"""
Set the radius of the circle
ACCEPTS: float
"""
self.width = self.height = 2 * radius
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. Because it performs various optimizations, it
can not be filled.
The arc must be used in an :class:`~matplotlib.axes.Axes`
instance---it can not be added directly to a
:class:`~matplotlib.figure.Figure`---because it is optimized to
only render the segments that are inside the axes bounding box
with high resolution.
"""
def __str__(self):
return "Arc(%s,%s;%sx%s)"%(self.center[0],self.center[1],self.width,self.height)
def __init__(self, xy, width, height, angle=0.0, theta1=0.0, theta2=360.0, **kwargs):
"""
The following args are supported:
*xy*
center of ellipse
*width*
length of horizontal axis
*height*
length of vertical axis
*angle*
rotation in degrees (anti-clockwise)
*theta1*
starting angle of the arc in degrees
*theta2*
ending angle of the arc in degrees
If *theta1* and *theta2* are not provided, the arc will form a
complete ellipse.
Valid kwargs are:
%(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
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
@allow_rasterization
def draw(self, renderer):
"""
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()
# Get the width and height in pixels
width = self.convert_xunits(self.width)
height = self.convert_yunits(self.height)
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(self.theta1, self.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 x >= x0e and x <= x1e and y >= y0e and 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)
PI = np.pi
TWOPI = PI * 2.0
RAD2DEG = 180.0 / PI
DEG2RAD = PI / 180.0
theta1 = self.theta1
theta2 = self.theta2
thetas = {}
# 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 = TWOPI - theta
# Convert radians to angles
theta *= RAD2DEG
if theta > theta1 and theta < theta2:
thetas[theta] = None
thetas = thetas.keys()
thetas.sort()
thetas.append(theta2)
last_theta = theta1
theta1_rad = theta1 * DEG2RAD
inside = box_path.contains_point((np.cos(theta1_rad), np.sin(theta1_rad)))
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
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.get_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.
"""
if leadingspace:
pad = ' '*leadingspace
else:
pad = ''
columns = [[] for cell in _table[0]]
for row in _table:
for column, cell in zip(columns, row):
column.append(cell)
col_len = [max([len(cell) for cell in column]) for column in columns]
lines = []
table_formatstr = pad + ' '.join([('=' * cl) for cl in col_len])
lines.append('')
lines.append(table_formatstr)
lines.append(pad + ' '.join([cell.ljust(cl) for cell, cl in zip(_table[0], col_len)]))
lines.append(table_formatstr)
lines.extend([(pad + ' '.join([cell.ljust(cl) for cell, cl in zip(row, col_len)]))
for row in _table[1:]])
lines.append(table_formatstr)
lines.append('')
return "\n".join(lines)
def _pprint_styles(_styles, leadingspace=2):
"""
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.
"""
if leadingspace:
pad = ' '*leadingspace
else:
pad = ''
names, attrss, clss = [], [], []
import inspect
_table = [["Class", "Name", "Attrs"]]
for name, cls in sorted(_styles.items()):
args, varargs, varkw, defaults = inspect.getargspec(cls.__init__)
if defaults:
args = [(argname, argdefault) \
for argname, argdefault in zip(args[1:], defaults)]
else:
args = None
if args is None:
argstr = 'None'
else:
argstr = ",".join([("%s=%s" % (an, av)) for an, av in args])
#adding ``quotes`` since - and | have special meaning in reST
_table.append([cls.__name__, "``%s``"%name, argstr])
return _pprint_table(_table)
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__(self, stylename, **kw):
"""
return the instance of the subclass with the given style name.
"""
# the "class" should have the _style_list attribute, which is
# a dictionary of stylname, style class paie.
_list = stylename.replace(" ","").split(",")
_name = _list[0].lower()
try:
_cls = self._style_list[_name]
except KeyError:
raise ValueError("Unknown style : %s" % stylename)
try:
_args_pair = [cs.split("=") for cs in _list[1:]]
_args = dict([(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(klass):
"""
A class method which returns a dictionary of available styles.
"""
return klass._style_list
@classmethod
def pprint_styles(klass):
"""
A class method which returns a string of the available styles.
"""
return _pprint_styles(klass._style_list)
class BoxStyle(_Style):
"""
:class:`BoxStyle` is a container class which defines several
boxstyle classes, which are used for :class:`FancyBoxPatch`.
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.
.. plot:: mpl_examples/pylab_examples/fancybox_demo2.py
"""
_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 __init__(self):
"""
initializtion.
"""
super(BoxStyle._Base, self).__init__()
def transmute(self, x0, y0, width, height, mutation_size):
"""
The transmute method is a very core of the
:class:`BboxTransmuter` class and must be overriden 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 take 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)
class Square(_Base):
"""
A simple square box.
"""
def __init__(self, pad=0.3):
"""
*pad*
amount of padding
"""
self.pad = pad
super(BoxStyle.Square, self).__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
cp = [(x0, y0), (x1, y0), (x1, y1), (x0, y1),
(x0, y0), (x0, y0)]
com = [Path.MOVETO,
Path.LINETO,
Path.LINETO,
Path.LINETO,
Path.LINETO,
Path.CLOSEPOLY]
path = Path(cp, com)
return path
_style_list["square"] = Square
class LArrow(_Base):
"""
(left) Arrow Box
"""
def __init__(self, pad=0.3):
self.pad = pad
super(BoxStyle.LArrow, self).__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
_style_list["larrow"] = LArrow
class RArrow(LArrow):
"""
(right) Arrow Box
"""
def __init__(self, pad=0.3):
#self.pad = pad
super(BoxStyle.RArrow, self).__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
_style_list["rarrow"] = RArrow
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(BoxStyle.Round, self).__init__()
def transmute(self, x0, y0, width, height, mutation_size):
# padding
pad = mutation_size * self.pad
# size of the roudning 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. eg.
# [(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
_style_list["round"] = Round
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(BoxStyle.Round4, self).__init__()
def transmute(self, x0, y0, width, height, mutation_size):
# padding
pad = mutation_size * self.pad
# roudning size. Use a half of the pad if not set.
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
_style_list["round4"] = Round4
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(BoxStyle.Sawtooth, self).__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(round((width - tooth_size) / (tooth_size * 2))) * 2
dsx = (width - tooth_size) / dsx_n
dsy_n = int(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* i for i in range(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* i for i in range(dsy_n*2)] + \
[y1 - tooth_size2]
top_saw_x = [x1] + \
[x1 - tooth_size2 - dsx*.5* i for i in range(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* i for i in range(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)
return path
_style_list["sawtooth"] = Sawtooth
class Roundtooth(Sawtooth):
"""
A roundtooth(?) box.
"""
def __init__(self, pad=0.3, tooth_size=None):
"""
*pad*
amount of padding
*tooth_size*
size of the sawtooth. pad* if None
"""
super(BoxStyle.Roundtooth, self).__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)
cp = [Path.MOVETO] + ([Path.CURVE3, Path.CURVE3] * ((len(saw_vertices)-1)//2))
path = Path(saw_vertices, cp)
return path
_style_list["roundtooth"] = Roundtooth
__doc__ = cbook.dedent(__doc__) % \
{"AvailableBoxstyles": _pprint_styles(_style_list)}
class FancyBboxPatch(Patch):
"""
Draw a fancy box around a rectangle with lower left at *xy*=(*x*,
*y*) with specified width and height.
:class:`FancyBboxPatch` class is similar to :class:`Rectangle`
class, but it draws a fancy box around the rectangle. The
transformation of the rectangle box to the fancy box is delegated
to the :class:`BoxTransmuterBase` and its derived classes.
"""
def __str__(self):
return self.__class__.__name__ \
+ "FancyBboxPatch(%g,%g;%gx%g)" % (self._x, self._y, self._width, self._height)
def __init__(self, xy, width, height,
boxstyle="round",
bbox_transmuter=None,
mutation_scale=1.,
mutation_aspect=None,
**kwargs):
"""
*xy* = lower left corner
*width*, *height*
*boxstyle* determines what kind of fancy box will be drawn. It
can be a string of the style name with a comma separated
attribute, or an instance of :class:`BoxStyle`. Following box
styles are available.
%(AvailableBoxstyles)s
*mutation_scale* : a value with which attributes of boxstyle
(e.g., pad) will be scaled. default=1.
*mutation_aspect* : 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. default=None.
Valid kwargs are:
%(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
kwdoc = dict()
kwdoc["AvailableBoxstyles"]=_pprint_styles(BoxStyle._style_list)
kwdoc.update(artist.kwdocd)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % kwdoc
del kwdoc
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.
ACCEPTS: [ %(AvailableBoxstyles)s ]
"""
if boxstyle==None:
return BoxStyle.pprint_styles()
if isinstance(boxstyle, BoxStyle._Base):
self._bbox_transmuter = boxstyle
elif callable(boxstyle):
self._bbox_transmuter = boxstyle
else:
self._bbox_transmuter = BoxStyle(boxstyle, **kw)
kwdoc = dict()
kwdoc["AvailableBoxstyles"]=_pprint_styles(BoxStyle._style_list)
kwdoc.update(artist.kwdocd)
set_boxstyle.__doc__ = cbook.dedent(set_boxstyle.__doc__) % kwdoc
del kwdoc
def set_mutation_scale(self, scale):
"""
Set the mutation scale.
ACCEPTS: float
"""
self._mutation_scale=scale
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.
ACCEPTS: float
"""
self._mutation_aspect=aspect
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
ACCEPTS: float
"""
self._x = x
def set_y(self, y):
"""
Set the bottom coord of the rectangle
ACCEPTS: float
"""
self._y = y
def set_width(self, w):
"""
Set the width rectangle
ACCEPTS: float
"""
self._width = w
def set_height(self, h):
"""
Set the width rectangle
ACCEPTS: float
"""
self._height = h
def set_bounds(self, *args):
"""
Set the bounds of the rectangle: l,b,w,h
ACCEPTS: (left, bottom, width, height)
"""
if len(args)==0:
l,b,w,h = args[0]
else:
l,b,w,h = args
self._x = l
self._y = b
self._width = w
self._height = h
def get_bbox(self):
return transforms.Bbox.from_bounds(self._x, self._y, self._width, self._height)
from matplotlib.bezier import split_bezier_intersecting_with_closedpath
from matplotlib.bezier import get_intersection, inside_circle, get_parallels
from matplotlib.bezier import make_wedged_bezier2
from matplotlib.bezier import split_path_inout, get_cos_sin
from matplotlib.bezier import make_path_regular, concatenate_paths
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 dervided needs
to implement a *connect* methods whose call signature is::
connect(posA, posB)
where posA and posB are tuples of x, y coordinates to be
connected. The methods needs to return a path connecting two
points. This base class defines a __call__ method, and 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_display = patchA.get_data_transform().transform_point(xy_data)
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_display = patchB.get_data_transform().transform_point(xy_data)
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:
x, y = path.vertices[0]
insideA = inside_circle(x, y, shrinkA)
try:
left, right = split_path_inout(path, insideA)
path = right
except ValueError:
pass
if shrinkB:
x, y = path.vertices[-1]
insideB = inside_circle(x, y, shrinkB)
try:
left, right = split_path_inout(path, insideB)
path = left
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 shrinked.
"""
path = self.connect(posA, posB)
clipped_path = self._clip(path, patchA, patchB)
shrinked_path = self._shrink(clipped_path, shrinkA, shrinkB)
return shrinked_path
class Arc3(_Base):
"""
Creates a simple quadratic bezier curve between two
points. The curve is created so that the middle contol points
(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)
_style_list["arc3"] = Arc3
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 crosses the start (or
end) point and has a angle of angleA (or angleB).
"""
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, sinA = math.cos(self.angleA/180.*math.pi),\
math.sin(self.angleA/180.*math.pi),
cosB, sinB = math.cos(self.angleB/180.*math.pi),\
math.sin(self.angleB/180.*math.pi),
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)
_style_list["angle3"] = Angle3
class Angle(_Base):
"""
Creates a picewise continuous quadratic bezier path between
two points. The path has a one passing-through point placed at
the intersecting point of two lines which crosses the start
(or end) point and has a angle of angleA (or angleB). 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, sinA = math.cos(self.angleA/180.*math.pi),\
math.sin(self.angleA/180.*math.pi),
cosB, sinB = math.cos(self.angleB/180.*math.pi),\
math.sin(self.angleB/180.*math.pi),
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 = (dx1**2 + dy1**2)**.5
f1 = self.rad/d1
dx2, dy2 = x2-cx, y2-cy
d2 = (dx2**2 + dy2**2)**.5
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)
_style_list["angle"] = Angle
class Arc(_Base):
"""
Creates a picewise 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(self.angleA/180.*math.pi)
sinA = math.sin(self.angleA/180.*math.pi)
#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(self.angleB/180.*math.pi)
sinB = math.sin(self.angleB/180.*math.pi)
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)
_style_list["arc"] = Arc
class Bar(_Base):
"""
A line with *angle* between A and B with *armA* and
*armB*. One of the arm is extend 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):
"""
*armA* : minimum length of armA
*armB* : minimum length of armB
*fraction* : a fraction of the distance between two points that will be added to armA and armB.
*angle* : anlge 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
x12, y12 = (x1 + x2)/2., (y1 + y2)/2.
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:
#angle = self.angle % 180.
#if angle < 0. or angle > 180.:
# angle
#theta0 = (self.angle%180.)/180.*math.pi
theta0 = self.angle/180.*math.pi
#theta0 = (((self.angle+90)%180.) - 90.)/180.*math.pi
dtheta = theta1 - theta0
dl = dd*math.sin(dtheta)
dL = dd*math.cos(dtheta)
#x2, y2 = x2 + dl*ddy, y2 - dl*ddx
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
else:
dl = 0.
#if armA > armB:
# armB = armA + dl
#else:
# armA = armB - dl
arm = max(armA, armB)
f = self.fraction*dd + arm
#fB = self.fraction*dd + armB
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)
_style_list["bar"] = Bar
__doc__ = cbook.dedent(__doc__) % \
{"AvailableConnectorstyles": _pprint_styles(_style_list)}
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 an 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 witch the arrow
will be drawn. *mutation_size* and *aspect_ratio* has a 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.
.. plot:: mpl_examples/pylab_examples/fancyarrow_demo.py
"""
_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.
def __init__(self):
super(ArrowStyle._Base, self).__init__()
@staticmethod
def ensure_quadratic_bezier(path):
""" Some ArrowStyle class only wokrs with a simple
quaratic bezier curve (created with Arc3Connetion 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())
assert len(segments) == 2
assert segments[0][1] == Path.MOVETO
assert segments[1][1] == Path.CURVE3
return list(segments[0][0]) + list(segments[1][0])
def transmute(self, path, mutation_size, linewidth):
"""
The transmute method is a very core of the ArrowStyle
class and must be overriden in the subclasses. It receives
the path object along which the arrow will be drawn, and
the mutation_size, with which the amount arrow head and
etc. will be scaled. The linewidth may be used to adjust
the 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 take 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_shrinked = Path(vertices, codes)
# call transmute method with squeezed height.
path_mutated, fillable = self.transmute(path_shrinked,
linewidth,
mutation_size)
if cbook.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(ArrowStyle._Curve, self).__init__()
def _get_pad_projected(self, x0, y0, x1, y1, linewidth):
# when no arrow head is drawn
dx, dy = x0 - x1, y0 - y1
cp_distance = math.sqrt(dx**2 + dy**2)
# padx_projected, pady_projected : amount of pad to account
# projection of the wedge
padx_projected = (.5*linewidth)
pady_projected = (.5*linewidth)
# apply pad for projected edge
ddx = padx_projected * dx / cp_distance
ddy = pady_projected * dy / cp_distance
return ddx, ddy
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 is goes beyond the
desired point. This method also returns the amount of the path
to be shrinked so that it does not overshoot.
"""
# arrow from x0, y0 to x1, y1
dx, dy = x0 - x1, y0 - y1
cp_distance = math.sqrt(dx**2 + dy**2)
# padx_projected, pady_projected : amount of pad for account
# the overshooting of the projection of the wedge
padx_projected = (.5*linewidth / cos_t)
pady_projected = (.5*linewidth / sin_t)
# apply pad for projected edge
ddx = padx_projected * dx / cp_distance
ddy = pady_projected * dy / cp_distance
# offset for arrow wedge
dx, dy = dx / cp_distance * head_dist, 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, head_width = self.head_length * mutation_size, \
self.head_width * mutation_size
head_dist = math.sqrt(head_length**2 + head_width**2)
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 self.beginarrow:
verticesA, codesA, ddxA, ddyA = \
self._get_arrow_wedge(x1, y1, x0, y0,
head_dist, cos_t, sin_t,
linewidth)
else:
verticesA, codesA = [], []
#ddxA, ddyA = self._get_pad_projected(x1, y1, x0, y0, linewidth)
ddxA, ddyA = 0., 0., #self._get_pad_projected(x1, y1, x0, y0, linewidth)
# end arrow
x2, y2 = path.vertices[-2]
x3, y3 = path.vertices[-1]
if self.endarrow:
verticesB, codesB, ddxB, ddyB = \
self._get_arrow_wedge(x2, y2, x3, y3,
head_dist, cos_t, sin_t,
linewidth)
else:
verticesB, codesB = [], []
ddxB, ddyB = 0., 0. #self._get_pad_projected(x2, y2, x3, y3, linewidth)
# this simple code will not work if ddx, ddy is greater than
# separation bettern vertices.
_path = [Path(np.concatenate([[(x0+ddxA, y0+ddyA)],
path.vertices[1:-1],
[(x3+ddxB, y3+ddyB)]]),
path.codes)]
_fillable = [False]
if self.beginarrow:
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 self.endarrow:
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
class Curve(_Curve):
"""
A simple curve without any arrow head.
"""
def __init__(self):
super(ArrowStyle.Curve, self).__init__( \
beginarrow=False, endarrow=False)
_style_list["-"] = Curve
class CurveA(_Curve):
"""
An arrow with a head at its begin point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveA, self).__init__( \
beginarrow=True, endarrow=False,
head_length=head_length, head_width=head_width )
_style_list["<-"] = CurveA
class CurveB(_Curve):
"""
An arrow with a head at its end point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveB, self).__init__( \
beginarrow=False, endarrow=True,
head_length=head_length, head_width=head_width )
#_style_list["->"] = CurveB
_style_list["->"] = CurveB
class CurveAB(_Curve):
"""
An arrow with heads both at the begin and the end point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveAB, self).__init__( \
beginarrow=True, endarrow=True,
head_length=head_length, head_width=head_width )
#_style_list["<->"] = CurveAB
_style_list["<->"] = CurveAB
class CurveFilledA(_Curve):
"""
An arrow with filled triangle head at the begin.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveFilledA, self).__init__( \
beginarrow=True, endarrow=False,
fillbegin=True, fillend=False,
head_length=head_length, head_width=head_width )
_style_list["<|-"] = CurveFilledA
class CurveFilledB(_Curve):
"""
An arrow with filled triangle head at the end.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveFilledB, self).__init__( \
beginarrow=False, endarrow=True,
fillbegin=False, fillend=True,
head_length=head_length, head_width=head_width )
_style_list["-|>"] = CurveFilledB
class CurveFilledAB(_Curve):
"""
An arrow with filled triangle heads both at the begin and the end point.
"""
def __init__(self, head_length=.4, head_width=.2):
"""
*head_length*
length of the arrow head
*head_width*
width of the arrow head
"""
super(ArrowStyle.CurveFilledAB, self).__init__( \
beginarrow=True, endarrow=True,
fillbegin=True, fillend=True,
head_length=head_length, head_width=head_width )
_style_list["<|-|>"] = CurveFilledAB
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.legnthA*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
class BracketB(_Bracket):
"""
An arrow with a bracket([) at its end.
"""
def __init__(self, widthB=1., lengthB=0.2, angleB=None):
"""
*widthB*
width of the bracket
*lengthB*
length of the bracket
*angleB*
angle between the bracket and the line
"""
super(ArrowStyle.BracketB, self).__init__(None, True,
widthB=widthB, lengthB=lengthB, angleB=None )
#_style_list["-["] = BracketB
_style_list["-["] = BracketB
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):
"""
*head_length*
length of the arrow head
*head_with*
width of the arrow head
*tail_width*
width of the arrow tail
"""
self.head_length, self.head_width, self.tail_width = \
head_length, head_width, tail_width
super(ArrowStyle.Simple, self).__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)]
arrow_out, arrow_in = \
split_bezier_intersecting_with_closedpath(arrow_path,
in_f,
tolerence=0.01)
# head
head_width = self.head_width * mutation_size
head_l, head_r = make_wedged_bezier2(arrow_in, head_width/2.,
wm=.5)
# tail
tail_width = self.tail_width * mutation_size
tail_left, tail_right = get_parallels(arrow_out, tail_width/2.)
head_right, head_left = head_r, head_l
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]),
]
path = Path([p for c, p in patch_path], [c for c, p in patch_path])
return path, True
_style_list["simple"] = Simple
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):
"""
*head_length*
length of the arrow head
*head_with*
width of the arrow head
*tail_width*
width of the arrow tail
"""
self.head_length, self.head_width, self.tail_width = \
head_length, head_width, tail_width
super(ArrowStyle.Fancy, self).__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)
path_out, path_in = \
split_bezier_intersecting_with_closedpath(arrow_path,
in_f,
tolerence=0.01)
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,
tolerence=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,
tolerence=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),
]
patch_path2 = [(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.CURVE3, tail_start),
(Path.CURVE3, tail_right[0]),
(Path.CLOSEPOLY, tail_right[0]),
]
path = Path([p for c, p in patch_path], [c for c, p in patch_path])
return path, True
_style_list["fancy"] = Fancy
class Wedge(_Base):
"""
Wedge(?) shape. Only wokrs 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):
"""
*tail_width*
width of the tail
*shrink_factor*
fraction of the arrow width at the middle point
"""
self.tail_width = tail_width
self.shrink_factor = shrink_factor
super(ArrowStyle.Wedge, self).__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
_style_list["wedge"] = Wedge
__doc__ = cbook.dedent(__doc__) % \
{"AvailableArrowstyles": _pprint_styles(_style_list)}
class FancyArrowPatch(Patch):
"""
A fancy arrow patch. It draws an arrow using the :class:ArrowStyle.
"""
def __str__(self):
return self.__class__.__name__ \
+ "FancyArrowPatch(%g,%g,%g,%g,%g,%g)" % tuple(self._q_bezier)
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,
**kwargs):
"""
If *posA* and *posB* is given, a path connecting two point are
created according to the connectionstyle. The path will be
clipped with *patchA* and *patchB* and further shirnked by
*shrinkA* and *shrinkB*. An arrow is drawn along this
resulting path using the *arrowstyle* parameter. If *path*
provided, an arrow is drawn along this path and *patchA*,
*patchB*, *shrinkA*, and *shrinkB* are ignored.
The *connectionstyle* describes how *posA* and *posB* are
connected. It can be an instance of the ConnectionStyle class
(matplotlib.patches.ConnectionStlye) or a string of the
connectionstyle name, with optional comma-separated
attributes. The following connection styles are available.
%(AvailableConnectorstyles)s
The *arrowstyle* describes how the fancy arrow will be
drawn. It can be string of the available arrowstyle names,
with optional comma-separated attributes, or one of the
ArrowStyle instance. The optional attributes are meant to be
scaled with the *mutation_scale*. The following arrow styles are
available.
%(AvailableArrowstyles)s
*mutation_scale* : a value with which attributes of arrowstyle
(e.g., head_length) will be scaled. default=1.
*mutation_aspect* : 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. default=None.
Valid kwargs are:
%(Patch)s
"""
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
self._connetors = 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
Patch.__init__(self, **kwargs)
self._path_original = path
self.set_arrowstyle(arrowstyle)
self._mutation_scale=mutation_scale
self._mutation_aspect=mutation_aspect
#self._draw_in_display_coordinate = True
kwdoc = dict()
kwdoc["AvailableArrowstyles"]=_pprint_styles(ArrowStyle._style_list)
kwdoc["AvailableConnectorstyles"]=_pprint_styles(ConnectionStyle._style_list)
kwdoc.update(artist.kwdocd)
__init__.__doc__ = cbook.dedent(__init__.__doc__) % kwdoc
del kwdoc
def set_positions(self, posA, posB):
""" set the begin end end positions of the connecting
path. Use current vlaue if None.
"""
if posA is not None: self._posA_posB[0] = posA
if posB is not None: self._posA_posB[1] = posB
def set_patchA(self, patchA):
""" set the begin patch.
"""
self.patchA = patchA
def set_patchB(self, patchB):
""" set the begin patch
"""
self.patchB = patchB
def set_connectionstyle(self, connectionstyle, **kw):
"""
Set the connection style.
*connectionstyle* can be a string with connectionstyle name with optional
comma-separated attributes. Alternatively, the attrs can
be probided as keywords.
set_connectionstyle("arc,angleA=0,armA=30,rad=10")
set_connectionstyle("arc", angleA=0,armA=30,rad=10)
Old attrs simply are forgotten.
Without argument (or with connectionstyle=None), return
available styles as a list of strings.
"""
if connectionstyle==None:
return ConnectionStyle.pprint_styles()
if isinstance(connectionstyle, ConnectionStyle._Base):
self._connector = connectionstyle
elif callable(connectionstyle):
# we may need check the calling convention of the given function
self._connector = connectionstyle
else:
self._connector = ConnectionStyle(connectionstyle, **kw)
def get_connectionstyle(self):
"""
Return the ConnectionStyle instance
"""
return self._connector
def set_arrowstyle(self, arrowstyle=None, **kw):
"""
Set the arrow style.
*arrowstyle* can be a string with arrowstyle name with optional
comma-separated attributes. Alternatively, the attrs can
be provided as keywords.
set_arrowstyle("Fancy,head_length=0.2")
set_arrowstyle("fancy", head_length=0.2)
Old attrs simply are forgotten.
Without argument (or with arrowstyle=None), return
available box styles as a list of strings.
"""
if arrowstyle==None:
return ArrowStyle.pprint_styles()
if isinstance(arrowstyle, ConnectionStyle._Base):
self._arrow_transmuter = arrowstyle
else:
self._arrow_transmuter = ArrowStyle(arrowstyle, **kw)
def get_arrowstyle(self):
"""
Return the arrowstyle object
"""
return self._arrow_transmuter
def set_mutation_scale(self, scale):
"""
Set the mutation scale.
ACCEPTS: float
"""
self._mutation_scale=scale
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.
ACCEPTS: float
"""
self._mutation_aspect=aspect
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 coordinate. Use
get_path_in_displaycoord() medthod to retrieve the arrow path
in the disaply coord.
"""
_path, fillable = self.get_path_in_displaycoord()
if cbook.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 the display coord
"""
if self._posA_posB is not None:
posA = self.get_transform().transform_point(self._posA_posB[0])
posB = self.get_transform().transform_point(self._posA_posB[1])
_path = self.get_connectionstyle()(posA, posB,
patchA=self.patchA,
patchB=self.patchB,
shrinkA=self.shrinkA,
shrinkB=self.shrinkB
)
else:
_path = self.get_transform().transform_path(self._path_original)
_path, fillable = self.get_arrowstyle()(_path,
self.get_mutation_scale(),
self.get_linewidth(),
self.get_mutation_aspect()
)
#if not fillable:
# self.fill = False
return _path, fillable
def draw(self, renderer):
if not self.get_visible(): return
#renderer.open_group('patch')
gc = renderer.new_gc()
if cbook.is_string_like(self._edgecolor) and self._edgecolor.lower()=='none':
gc.set_linewidth(0)
else:
gc.set_foreground(self._edgecolor)
gc.set_linewidth(self._linewidth)
gc.set_linestyle(self._linestyle)
gc.set_antialiased(self._antialiased)
self._set_gc_clip(gc)
gc.set_capstyle('round')
if (not self.fill or self._facecolor is None or
(cbook.is_string_like(self._facecolor) and self._facecolor.lower()=='none')):
rgbFace = None
gc.set_alpha(1.0)
else:
r, g, b, a = colors.colorConverter.to_rgba(self._facecolor, self._alpha)
rgbFace = (r, g, b)
gc.set_alpha(a)
if self._hatch:
gc.set_hatch(self._hatch )
path, fillable = self.get_path_in_displaycoord()
if not cbook.iterable(fillable):
path = [path]
fillable = [fillable]
affine = transforms.IdentityTransform()
renderer.open_group('patch', self.get_gid())
for p, f in zip(path, fillable):
if f:
renderer.draw_path(gc, p, affine, rgbFace)
else:
renderer.draw_path(gc, p, affine, None)
gc.restore()
renderer.close_group('patch')
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])
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,
**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.
================= ===================================================
"""
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,
**kwargs)
# if True, draw annotation only if self.xy is inside the axes
self._annotation_clip = None
__init__.__doc__ = cbook.dedent(__init__.__doc__) % artist.kwdocd
def _get_xy(self, x, y, s, axes=None):
"""
caculate 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))
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
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
"""
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.coords1, self.axesB)
_path = self.get_connectionstyle()(posA, posB,
patchA=self.patchA,
patchB=self.patchB,
shrinkA=self.shrinkA,
shrinkB=self.shrinkB
)
_path, fillable = self.get_arrowstyle()(_path,
self.get_mutation_scale(),
self.get_linewidth(),
self.get_mutation_aspect()
)
return _path, fillable
def _check_xy(self, renderer):
"""
check if the annotation need 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 not self.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):
"""
Draw.
"""
if renderer is not None:
self._renderer = renderer
if not self.get_visible(): return
if not self._check_xy(renderer):
return
FancyArrowPatch.draw(self, renderer)