def draw_circle(ax, x, y, color, scale=0.1, line_weight=1.0, zorder=2):
path = Path(Path.unit_circle().vertices * scale, Path.unit_circle().codes)
trans = matplotlib.transforms.Affine2D().translate(x, y)
t_path = path.transformed(trans)
patch = patches.PathPatch(
t_path, facecolor=color.value, lw=line_weight, zorder=zorder)
ax.add_patch(patch)
return
def _slot_path():
# Returns a Path for a filled unit circle with a vertical rectangle removed.
circle = Path.unit_circle()
vertical_bar = _vertical_bar_path()
vertices = np.concatenate([circle.vertices[:-1], vertical_bar.vertices[-2::-1]])
codes = np.concatenate([circle.codes[:-1], vertical_bar.codes[:-1]])
return Path(vertices, codes)
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()
self._patch_transform = transforms.IdentityTransform()
self._recompute_transform()
def __init__(self, xy, width, height, scale=1.0, angle=0.0, **kwargs):
"""
*xy*
center of ellipse
*width*
total length (diameter) of horizontal axis
*height*
total length (diameter) of vertical axis
*angle*
rotation in degrees (anti-clockwise)
Valid kwargs are:
%(Patch)s
"""
patches.Patch.__init__(self, **kwargs)
self.center = xy
self.width, self.height = width, height
self.scale = scale
self.angle = angle
self._path = Path.unit_circle()
# Note: This cannot be calculated until this is added to an Axes
self._patch_transform = transforms.IdentityTransform()
def make_cities_marker(length, flip_y=True):
from matplotlib.path import Path
from matplotlib.textpath import TextPath
from matplotlib.font_manager import FontProperties
circle = Path.unit_circle()
scale = math.sqrt(length * 0.8) / 4.0 + (0.4 if length > 1 else 0)
circle = circle.transformed(mpl.transforms.Affine2D().scale(scale, scale))
if length <= 1:
verts = circle.vertices
codes = circle.codes
else:
text = str(length)
fp = FontProperties(family="DejaVu Sans", style="oblique")
textPath = TextPath((0, 0),
text,
size=1 if length <= 9 else 1.2,
prop=fp)
textPath = textPath.transformed(mpl.transforms.Affine2D().scale(
1, -1 if flip_y else 1).translate(
-len(text) / 2.5 if len(text) > 1 else -0.2, 0.3))
verts = np.concatenate([circle.vertices, textPath.vertices])
codes = np.concatenate([circle.codes, textPath.codes])
combined_marker = Path(verts, codes)
return combined_marker
def _slot_path():
# Returns a Path for a filled unit circle with a vertical rectangle removed.
circle = Path.unit_circle()
vertical_bar = _vertical_bar_path()
vertices = np.concatenate([circle.vertices[:-1], vertical_bar.vertices[-2::-1]])
codes = np.concatenate([circle.codes[:-1], vertical_bar.codes[:-1]])
return Path(vertices, codes)
def test_readonly_path():
path = Path.unit_circle()
def modify_vertices():
path.vertices = path.vertices * 2.0
assert_raises(AttributeError, modify_vertices)
def test_contains_points_negative_radius():
path = Path.unit_circle()
points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
expected = [True, False, False]
assert np.all(path.contains_points(points, radius=-0.5) == expected)
def __init__(self, center, radius, matrix, **kwargs):
Patch.__init__(self, **kwargs)
path = Path.unit_circle()
self.radius = radius
self._code3d = path.codes
self._segment3d = center + radius * (path.vertices @ matrix.T)
self._path2d = Path(np.zeros((0, 2)))
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()
self._patch_transform = transforms.IdentityTransform()
self._recompute_transform()
def test_readonly_path():
path = Path.unit_circle()
def modify_vertices():
path.vertices = path.vertices * 2.0
assert_raises(AttributeError, modify_vertices)
def __init__(self, xy, width, height, scale=1.0, angle=0.0, **kwargs):
"""
*xy*
center of ellipse
*width*
total length (diameter) of horizontal axis
*height*
total length (diameter) of vertical axis
*angle*
rotation in degrees (anti-clockwise)
Valid kwargs are:
%(Patch)s
"""
patches.Patch.__init__(self, **kwargs)
self.center = xy
self.width, self.height = width, height
self.scale = scale
self.angle = angle
self._path = Path.unit_circle()
# Note: This cannot be calculated until this is added to an Axes
self._patch_transform = transforms.IdentityTransform()
def test_contains_points_negative_radius():
path = Path.unit_circle()
points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
expected = [True, False, False]
assert np.all(path.contains_points(points, radius=-0.5) == expected)
def _ring_path():
# Returns a Path for a hollow ring.
# The outer radius is 1, the inner radius is 1 - _THICKNESS.
circle = Path.unit_circle()
inner_radius = 1.0 - _THICKNESS
vertices = np.concatenate([circle.vertices[:-1], circle.vertices[-2::-1] * inner_radius])
codes = np.concatenate([circle.codes[:-1], circle.codes[:-1]])
return Path(vertices, codes)
def test_readonly_path():
path = Path.unit_circle()
def modify_vertices():
path.vertices = path.vertices * 2.0
with pytest.raises(AttributeError):
modify_vertices()
def test_readonly_path():
path = Path.unit_circle()
def modify_vertices():
path.vertices = path.vertices * 2.0
with pytest.raises(AttributeError):
modify_vertices()
def _ring_path():
# Returns a Path for a hollow ring.
# The outer radius is 1, the inner radius is 1 - _THICKNESS.
circle = Path.unit_circle()
inner_radius = 1.0 - _THICKNESS
vertices = np.concatenate([circle.vertices[:-1], circle.vertices[-2::-1] * inner_radius])
codes = np.concatenate([circle.codes[:-1], circle.codes[:-1]])
return Path(vertices, codes)
def test_tickedstroke():
fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))
path = Path.unit_circle()
patch = patches.PathPatch(path,
facecolor='none',
lw=2,
path_effects=[
path_effects.withTickedStroke(angle=-90,
spacing=10,
length=1)
])
ax1.add_patch(patch)
ax1.axis('equal')
ax1.set_xlim(-2, 2)
ax1.set_ylim(-2, 2)
ax2.plot(
[0, 1], [0, 1],
label=' ',
path_effects=[path_effects.withTickedStroke(spacing=7, angle=135)])
nx = 101
x = np.linspace(0.0, 1.0, nx)
y = 0.3 * np.sin(x * 8) + 0.4
ax2.plot(x, y, label=' ', path_effects=[path_effects.withTickedStroke()])
ax2.legend()
nx = 101
ny = 105
# Set up survey vectors
xvec = np.linspace(0.001, 4.0, nx)
yvec = np.linspace(0.001, 4.0, ny)
# Set up survey matrices. Design disk loading and gear ratio.
x1, x2 = np.meshgrid(xvec, yvec)
# Evaluate some stuff to plot
g1 = -(3 * x1 + x2 - 5.5)
g2 = -(x1 + 2 * x2 - 4)
g3 = .8 + x1**-3 - x2
cg1 = ax3.contour(x1, x2, g1, [0], colors=('k', ))
plt.setp(cg1.collections,
path_effects=[path_effects.withTickedStroke(angle=135)])
cg2 = ax3.contour(x1, x2, g2, [0], colors=('r', ))
plt.setp(cg2.collections,
path_effects=[path_effects.withTickedStroke(angle=60, length=2)])
cg3 = ax3.contour(x1, x2, g3, [0], colors=('b', ))
plt.setp(cg3.collections,
path_effects=[path_effects.withTickedStroke(spacing=7)])
ax3.set_xlim(0, 4)
ax3.set_ylim(0, 4)
def test_contains_points_negative_radius():
path = Path.unit_circle()
points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
expected = [True, False, False]
result = path.contains_points(points, radius=-0.5)
assert result.dtype == np.bool
assert np.all(result == expected)
def elliptical_spine(cls, axes, center, xrad, yrad, **kwargs):
'''
(staticmethod) Returns an elliptical :class: `Spine`.
'''
path = Path.unit_circle()
spine_type = 'circle' # since aspect = 2 and axes rect is 0-1, 0-1
result = cls(axes, spine_type, path, **kwargs)
set_patch_ellipse(result, center, xrad, yrad)
return result
def test_contains_points_negative_radius():
path = Path.unit_circle()
points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
expected = [True, False, False]
result = path.contains_points(points, radius=-0.5)
assert result.dtype == np.bool
assert np.all(result == expected)
def epilog(k1, k2):
marker = Path.unit_circle()
for d in _epilog.values():
plot(d['coords'][columns[k1]-5], d['coords'][columns[k2]-5],
marker=marker,
markersize=7,
markeredgecolor='white',
markeredgewidth=2,
markerfacecolor=d['color'])
def transmute(self, x0, y0, width, height, mutation_size):
# padding
# pad = mutation_size * self.pad
cx, cy = x0 + .5 * width, y0 + .5 * height # center
# width and height with padding added.
# width, height = width + 2.*pad, height + 2.*pad,
# get radius
# radius = (width**2 + height**2)**.5 * .5
radius = VISUAL_PLAYER_RADIUS
cir_path = Path.unit_circle()
vertices = radius * cir_path.vertices + (cx, cy)
# a path of the circle
path = Path(vertices, cir_path.codes)
return path
def make_custom_marker(text, flip_y=False):
from matplotlib.path import Path
from matplotlib.textpath import TextPath
from matplotlib.font_manager import FontProperties
textPath = TextPath((0, 4), text, size=3)
textPath = textPath.transformed(mpl.transforms.Affine2D().translate(
-1 * len(text), 0))
circle = Path.unit_circle()
triangle = Path([[0, 0], [1, 0], [0.5, 0.5], [0, 0]],
[Path.MOVETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])
triangle = triangle.transformed(mpl.transforms.Affine2D().translate(
-0.5, 0).scale(3, -4).translate(0, 3))
verts = np.concatenate(
[circle.vertices, textPath.vertices, triangle.vertices])
codes = np.concatenate([circle.codes, textPath.codes, triangle.codes])
combined_marker = Path(verts, codes)
combined_marker = combined_marker.transformed(
mpl.transforms.Affine2D().scale(1000, -1000 if flip_y else 1000))
return combined_marker
def __init__(self, xy, radius, **kwargs):
"""
xy : array_like
center of two circles
radius : scalar
size of each circle
Valid kwargs are:
%(Patch)s
"""
Patch.__init__(self, **kwargs)
self.center = xy
self.radius = radius
self.width = 4. # two x unit circle (i.e. from +1 to -1)
self.height = 2. # one x unit circle
path = copy(Path.unit_circle())
n_pts = path.vertices.shape[0]
path.vertices = np.tile(path.vertices, [2,1])
path.vertices[:n_pts,0] -= 1
path.vertices[n_pts:,0] += 1
path.codes = np.tile(path.codes, [2])
self._path = path
# Note: This cannot be calculated until this is added to an Axes
self._patch_transform = transforms.IdentityTransform()
CLOUD_COVER = {
0: [_ring_path()],
1: [_ring_path(), _vertical_bar_path()],
2: [_ring_path(), _wedge_fix(Path.wedge(0, 90))],
3: [_ring_path(),
_wedge_fix(Path.wedge(0, 90)),
_vertical_bar_path()],
4: [_ring_path(), Path.unit_circle_righthalf()],
5: [_ring_path(),
Path.unit_circle_righthalf(),
_left_bar_path()],
6: [_ring_path(), _wedge_fix(Path.wedge(-180, 90))],
7: [_slot_path()],
8: [Path.unit_circle()],
9: [_ring_path(), _slash_path(),
_backslash_path()],
}
"""
A dictionary mapping WMO cloud cover codes to their corresponding symbol.
See http://www.wmo.int/pages/prog/www/DPFS/documents/485_Vol_I_en_colour.pdf
Part II, Appendix II.4, Graphical Representation of Data, Analyses
and Forecasts
"""
def _convert_paths_to_patches():
# Convert the symbols defined as lists-of-paths into patches.
fig, ax = plt.subplots(figsize = (5, 5))
lim = -5.8, 5.7
ax.set(xlim = lim, ylim = lim)
marker_obj = m.MarkerStyle('$?$')
path = marker_obj.get_path().transformed(marker_obj.get_transform())
path._vertices = np.array(path._vertices)*8 #To make it larger
path._vertices[4] = [0,0]#This is where the vertices close
full_codes = path.codes
full_vertices = path._vertices
mark_vertices = full_vertices[5:]
mark_codes = full_codes[5:]
circ_path = Path.unit_circle()
circ_verts = circ_path._vertices*0.65+[0.1, -3]
circ_codes = circ_path.codes
##print(circ_verts)
##print(circ_codes)
new_vertices = np.append(circ_verts, mark_vertices, axis=0)-[0,0.5]
new_codes = np.append(circ_codes, mark_codes, axis = 0)
"""All this stuff that is commented out was used to make this path.
when ? was used to create the path. The little dot under the ? was
shown as a square, not a circle. So I had to modify the geometric
descriptors of the patch to make it look better. DO NOT ATTEMPT
THIS ON IMPORTANT FILES"""
def make(n, side_len, circ_rad, theta, ishift=0, jshift=0,
sigma_smooth=0., sigma_noise=0., rs=None):
"""
Create an illusory triangle contour [1] image with random
size and orientation.
[1]: https://en.wikipedia.org/wiki/Illusory_contours
Parameters
----------
n: int
Image shape will be (n,n)
side_len: float
Side length of the triangle in pixels.
circ_rad: float
Radius of the circles at the vertices
of the triangle in pixels.
theta: float (radians)
Rotation of the triangle. Zero points the triangle to the right.
ishift,jshift: integers
Translate the center of the triangle by ishift and jshift.
sigma_smooth: float
Gaussian smoothing parameter (make image borders more diffuse).
sigma_noise: float
Additive noise amplitude.
rs: numpy.random.RandomState, default=None
Include for reproducible results.
"""
if circ_rad > 0.5*side_len:
raise ValueError(("Circle radius should be less "
"than one half the side length."))
# Triangle height.
height = 0.5*np.sqrt(3)*side_len
# Distance from center of triangle to a vertex.
tri_rad = (2.0/3.0)*height
# Rotation factor for triangle vertices.
w = (2.0/3.0)*np.pi
# Get extent of triangle plus outer circles for validation.
extent = np.zeros((3,2))
for i in range(3):
x = (tri_rad+circ_rad)*np.cos(i*w+theta) + n/2 + jshift
y = (tri_rad+circ_rad)*np.sin(i*w+theta) + n/2 - ishift
extent[i] = n-y,x
for e in extent:
if e[0] < 0 or e[0] > n-1:
raise ValueError(("Extent of triangle plus circles exceeds"
"image dimensions along axis 0."))
if e[1] < 0 or e[1] > n-1:
raise ValueError(("Extent of triangle plus circles exceeds"
"image dimensions along axis 1."))
vertices = np.zeros((3,2))
for i in range(3):
x = tri_rad*np.cos(i*w+theta) + n/2 + jshift
y = tri_rad*np.sin(i*w+theta) + n/2 - ishift
vertices[i] = n-y,x
tri_path = mpath(np.append(vertices, vertices[-1].reshape(1,2), axis=0),
codes=[mpath.MOVETO, mpath.LINETO,
mpath.LINETO, mpath.CLOSEPOLY])
ii,jj = np.indices((n,n))
coords = np.c_[ii.flatten(), jj.flatten()]
triangle = tri_path.contains_points(coords).reshape(n,n)
ucircle = mpath.unit_circle()
circles = np.zeros((n,n), dtype=np.bool)
for v in vertices:
circle = mpath(vertices=ucircle.vertices*circ_rad + v,
codes=ucircle.codes)
circles = np.logical_or(circles,
circle.contains_points(coords).reshape(n,n))
image = (~np.logical_and(circles, ~triangle)).astype(np.float)
rs = rs if rs is not None else np.random.RandomState()
if sigma_smooth > 0:
image = gaussian_filter(image, sigma_smooth)
if sigma_noise > 0:
image += sigma_noise*rs.randn(n,n)
return image, triangle
def test_contains_points_negative_radius():
path = Path.unit_circle()
points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
result = path.contains_points(points, radius=-0.5)
np.testing.assert_equal(result, [True, False, False])
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
"""
Specialized markers
"""
from matplotlib.path import Path
import numpy as np
"""The Earth symbol (circle and cross)."""
earth = Path.unit_circle()
verts = np.concatenate([earth.vertices, [[-1, 0], [1, 0], [0, -1], [0, 1]]])
codes = np.concatenate([earth.codes, [Path.MOVETO, Path.LINETO] * 2])
earth = Path(verts, codes)
del verts, codes
def reticle(inner=0.5, outer=1.0, angle=0.0):
"""
Create a reticle (crosshairs) marker.
Parameters
----------
inner : float
Distance from the origin to the inside of the crosshairs.
def __init__(self, hatch, density):
path = Path.unit_circle()
self.shape_vertices = path.vertices
self.shape_codes = path.codes
Shapes.__init__(self, hatch, density)
from matplotlib.markers import MarkerStyle
import numpy as np
%matplotlib widget
px = np.random.rand(10)
py = np.random.rand(10)
offsets = np.ma.column_stack([px, py])
#%% 1
fig, ax = plt.subplots()
reduction = 50
c = Path.unit_circle()
c = c.transformed(Affine2D().scale(0.5 * reduction))
collection = PathCollection(
(c,), offsets=offsets,
transOffset = ax.transData,
edgecolor='black',
facecolor=(0, 0, 0, .0125),
linewidth=1
)
collection.set_transform(IdentityTransform())
ax.add_collection( collection )
#%% 2
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
#
"""
Specialized markers
"""
__all__ = ('earth', 'reticle')
from matplotlib.path import Path
import numpy as np
"""The Earth symbol (circle and cross)."""
earth = Path.unit_circle()
verts = np.concatenate([earth.vertices, [[-1, 0], [1, 0], [0, -1], [0, 1]]])
codes = np.concatenate([earth.codes, [Path.MOVETO, Path.LINETO] * 2])
earth = Path(verts, codes)
del verts, codes
def reticle(inner=0.5, outer=1.0, angle=0.0):
"""
Create a reticle (crosshairs) marker.
Parameters
----------
inner : float
Distance from the origin to the inside of the crosshairs.
return res
draw_map = {}
def draw_circle(ax, x, y, color, scale=0.1):
path = Path(unit_circle.vertices * scale, unit_circle.codes)
trans = matplotlib.transforms.Affine2D().translate(x, y)
t_path = path.transformed(trans)
patch = patches.PathPatch(t_path, facecolor=color.value, lw=line_weight, zorder=2)
a = ax.add_patch(patch)
ma = MonosaccharidePatch(saccharide_shape=(a,))
return ma
# return (a,)
draw_map[ResidueShape.circle] = draw_circle
unit_circle = Path.unit_circle()
def draw_square(ax, x, y, color, scale=0.1):
square_verts = np.array([
(0.5, 0.5),
(0.5, -0.5),
(-0.5, -0.5),
(-0.5, 0.5),
(0.5, 0.5),
(0., 0.),
]) * 2
square_codes = [
Path.MOVETO,
Path.LINETO,
Path.LINETO,
def __init__(self, hatch, density):
path = Path.unit_circle()
self.shape_vertices = path.vertices
self.shape_codes = path.codes
Shapes.__init__(self, hatch, density)
# but will then be redundant and should be removed.
wedge_path.vertices[0] = 0
wedge_path.vertices[-2:] = 0
return wedge_path
CLOUD_COVER = {
0: [_ring_path()],
1: [_ring_path(), _vertical_bar_path()],
2: [_ring_path(), _wedge_fix(Path.wedge(0, 90))],
3: [_ring_path(), _wedge_fix(Path.wedge(0, 90)), _vertical_bar_path()],
4: [_ring_path(), Path.unit_circle_righthalf()],
5: [_ring_path(), Path.unit_circle_righthalf(), _left_bar_path()],
6: [_ring_path(), _wedge_fix(Path.wedge(-180, 90))],
7: [_slot_path()],
8: [Path.unit_circle()],
9: [_ring_path(), _slash_path(), _backslash_path()],
}
"""
A dictionary mapping WMO cloud cover codes to their corresponding symbol.
See http://www.wmo.int/pages/prog/www/DPFS/documents/485_Vol_I_en_colour.pdf
Part II, Appendix II.4, Graphical Representation of Data, Analyses and Forecasts
"""
def _convert_paths_to_patches():
# Convert the symbols defined as lists-of-paths into patches.
for code, symbol in CLOUD_COVER.iteritems():
CLOUD_COVER[code] = _make_merged_patch(symbol)