markers = {

'.': 'point',

',': 'pixel',

'o': 'circle',

'v': 'triangle_down',

'^': 'triangle_up',

'<': 'triangle_left',

'>': 'triangle_right',

'1': 'tri_down',

'2': 'tri_up',

'3': 'tri_left',

'4': 'tri_right',

'8': 'octagon',

's': 'square',

'p': 'pentagon',

'*': 'star',

'h': 'hexagon1',

'H': 'hexagon2',

'+': 'plus',

'x': 'x',

'D': 'diamond',

'd': 'thin_diamond',

'|': 'vline',

'_': 'hline',

TICKLEFT: 'tickleft',

TICKRIGHT: 'tickright',

TICKUP: 'tickup',

TICKDOWN: 'tickdown',

CARETLEFT: 'caretleft',

CARETRIGHT: 'caretright',

CARETUP: 'caretup',

CARETDOWN: 'caretdown',

CARETLEFTBASE: 'caretleftbase',

CARETRIGHTBASE: 'caretrightbase',

CARETUPBASE: 'caretupbase',

CARETDOWNBASE: 'caretdownbase',

"None": 'nothing',

None: 'nothing',

' ': 'nothing',

'': 'nothing'

}

# Just used for informational purposes. is_filled()

# is calculated in the _set_* functions.

filled_markers = (

'o', 'v', '^', '<', '>', '8', 's', 'p', '*', 'h', 'H', 'D', 'd')

fillstyles = ('full', 'left', 'right', 'bottom', 'top', 'none')

_half_fillstyles = ('left', 'right', 'bottom', 'top')

# TODO: Is this ever used as a non-constant?

_point_size_reduction = 0.5

def __init__(self, marker=None, fillstyle=None):

"""

# The fillstyle has to be set here as it might be accessed by calls to

# _recache() in set_marker.

self._fillstyle = fillstyle

self.set_marker(marker)

self.set_fillstyle(fillstyle)

def __getstate__(self):

d = self.__dict__.copy()

d.pop('_marker_function')

return d

def __setstate__(self, statedict):

self.__dict__ = statedict

self.set_marker(self._marker)

self._recache()

def _recache(self):

self._path = _empty_path

self._transform = IdentityTransform()

self._alt_path = None

self._alt_transform = None

self._snap_threshold = None

self._joinstyle = 'round'

self._capstyle = 'butt'

self._filled = True

self._marker_function()

if six.PY3:

def __bool__(self):

return bool(len(self._path.vertices))

else:

def __nonzero__(self):

return bool(len(self._path.vertices))

def is_filled(self):

return self._filled

def get_fillstyle(self):

return self._fillstyle

def set_fillstyle(self, fillstyle):

"""

if fillstyle is None:

fillstyle = rcParams['markers.fillstyle']

if fillstyle not in self.fillstyles:

raise ValueError("Unrecognized fillstyle %s"

% ' '.join(self.fillstyles))

self._fillstyle = fillstyle

self._recache()

def get_joinstyle(self):

return self._joinstyle

def get_capstyle(self):

return self._capstyle

def get_marker(self):

return self._marker

def set_marker(self, marker):

if (iterable(marker) and len(marker) in (2, 3) and

marker[1] in (0, 1, 2, 3)):

self._marker_function = self._set_tuple_marker

elif isinstance(marker, np.ndarray):

self._marker_function = self._set_vertices

elif not isinstance(marker, list) and marker in self.markers:

self._marker_function = getattr(

self, '_set_' + self.markers[marker])

elif is_string_like(marker) and is_math_text(marker):

self._marker_function = self._set_mathtext_path

elif isinstance(marker, Path):

self._marker_function = self._set_path_marker

else:

try:

Path(marker)

self._marker_function = self._set_vertices

except ValueError:

raise ValueError('Unrecognized marker style'

' {0}'.format(marker))

self._marker = marker

self._recache()

def get_path(self):

return self._path

def get_transform(self):

return self._transform.frozen()

def get_alt_path(self):

return self._alt_path

def get_alt_transform(self):

return self._alt_transform.frozen()

def get_snap_threshold(self):

return self._snap_threshold

def _set_nothing(self):

self._filled = False

def _set_custom_marker(self, path):

verts = path.vertices

rescale = max(np.max(np.abs(verts[:, 0])),

np.max(np.abs(verts[:, 1])))

self._transform = Affine2D().scale(0.5 / rescale)

self._path = path

def _set_path_marker(self):

self._set_custom_marker(self._marker)

def _set_vertices(self):

verts = self._marker

marker = Path(verts)

self._set_custom_marker(marker)

def _set_tuple_marker(self):

marker = self._marker

if is_numlike(marker[0]):

if len(marker) == 2:

numsides, rotation = marker[0], 0.0

elif len(marker) == 3:

numsides, rotation = marker[0], marker[2]

symstyle = marker[1]

if symstyle == 0:

self._path = Path.unit_regular_polygon(numsides)

self._joinstyle = 'miter'

elif symstyle == 1:

self._path = Path.unit_regular_star(numsides)

self._joinstyle = 'bevel'

elif symstyle == 2:

self._path = Path.unit_regular_asterisk(numsides)

self._filled = False

self._joinstyle = 'bevel'

elif symstyle == 3:

self._path = Path.unit_circle()

self._transform = Affine2D().scale(0.5).rotate_deg(rotation)

else:

verts = np.asarray(marker[0])

path = Path(verts)

self._set_custom_marker(path)

def _set_mathtext_path(self):

"""

from matplotlib.text import TextPath

from matplotlib.font_manager import FontProperties

# again, the properties could be initialised just once outside

# this function

# Font size is irrelevant here, it will be rescaled based on

# the drawn size later

props = FontProperties(size=1.0)

text = TextPath(xy=(0, 0), s=self.get_marker(), fontproperties=props,

usetex=rcParams['text.usetex'])

if len(text.vertices) == 0:

return

xmin, ymin = text.vertices.min(axis=0)

xmax, ymax = text.vertices.max(axis=0)

width = xmax - xmin

height = ymax - ymin

max_dim = max(width, height)

self._transform = Affine2D() \

.translate(-xmin + 0.5 * -width, -ymin + 0.5 * -height) \

.scale(1.0 / max_dim)

self._path = text

self._snap = False

def _half_fill(self):

fs = self.get_fillstyle()

result = fs in self._half_fillstyles

return result

def _set_circle(self, reduction=1.0):

self._transform = Affine2D().scale(0.5 * reduction)

self._snap_threshold = np.inf

fs = self.get_fillstyle()

if not self._half_fill():

self._path = Path.unit_circle()

else:

# build a right-half circle

if fs == 'bottom':

rotate = 270.

elif fs == 'top':

rotate = 90.

elif fs == 'left':

rotate = 180.

else:

rotate = 0.

self._path = self._alt_path = Path.unit_circle_righthalf()

self._transform.rotate_deg(rotate)

self._alt_transform = self._transform.frozen().rotate_deg(180.)

def _set_pixel(self):

self._path = Path.unit_rectangle()

# Ideally, you'd want -0.5, -0.5 here, but then the snapping

# algorithm in the Agg backend will round this to a 2x2

# rectangle from (-1, -1) to (1, 1). By offsetting it

# slightly, we can force it to be (0, 0) to (1, 1), which both

# makes it only be a single pixel and places it correctly

# aligned to 1-width stroking (i.e. the ticks). This hack is

# the best of a number of bad alternatives, mainly because the

# backends are not aware of what marker is actually being used

# beyond just its path data.

self._transform = Affine2D().translate(-0.49999, -0.49999)

self._snap_threshold = None

def _set_point(self):

self._set_circle(reduction=self._point_size_reduction)

_triangle_path = Path(

[[0.0, 1.0], [-1.0, -1.0], [1.0, -1.0], [0.0, 1.0]],

[Path.MOVETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])

# Going down halfway looks to small. Golden ratio is too far.

_triangle_path_u = Path(

[[0.0, 1.0], [-3 / 5., -1 / 5.], [3 / 5., -1 / 5.], [0.0, 1.0]],

[Path.MOVETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])

_triangle_path_d = Path(

[[-3 / 5., -1 / 5.], [3 / 5., -1 / 5.], [1.0, -1.0], [-1.0, -1.0],

[-3 / 5., -1 / 5.]],

[Path.MOVETO, Path.LINETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])

_triangle_path_l = Path(

[[0.0, 1.0], [0.0, -1.0], [-1.0, -1.0], [0.0, 1.0]],

[Path.MOVETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])

_triangle_path_r = Path(

[[0.0, 1.0], [0.0, -1.0], [1.0, -1.0], [0.0, 1.0]],

[Path.MOVETO, Path.LINETO, Path.LINETO, Path.CLOSEPOLY])

def _set_triangle(self, rot, skip):

self._transform = Affine2D().scale(0.5, 0.5).rotate_deg(rot)

self._snap_threshold = 5.0

fs = self.get_fillstyle()

if not self._half_fill():

self._path = self._triangle_path

else:

mpaths = [self._triangle_path_u,

self._triangle_path_l,

self._triangle_path_d,

self._triangle_path_r]

if fs == 'top':

self._path = mpaths[(0 + skip) % 4]

self._alt_path = mpaths[(2 + skip) % 4]

elif fs == 'bottom':

self._path = mpaths[(2 + skip) % 4]

self._alt_path = mpaths[(0 + skip) % 4]

elif fs == 'left':

self._path = mpaths[(1 + skip) % 4]

self._alt_path = mpaths[(3 + skip) % 4]

else:

self._path = mpaths[(3 + skip) % 4]

self._alt_path = mpaths[(1 + skip) % 4]

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_triangle_up(self):

return self._set_triangle(0.0, 0)

def _set_triangle_down(self):

return self._set_triangle(180.0, 2)

def _set_triangle_left(self):

return self._set_triangle(90.0, 3)

def _set_triangle_right(self):

return self._set_triangle(270.0, 1)

def _set_square(self):

self._transform = Affine2D().translate(-0.5, -0.5)

self._snap_threshold = 2.0

fs = self.get_fillstyle()

if not self._half_fill():

self._path = Path.unit_rectangle()

else:

# build a bottom filled square out of two rectangles, one

# filled. Use the rotation to support left, right, bottom

# or top

if fs == 'bottom':

rotate = 0.

elif fs == 'top':

rotate = 180.

elif fs == 'left':

rotate = 270.

else:

rotate = 90.

self._path = Path([[0.0, 0.0], [1.0, 0.0], [1.0, 0.5],

[0.0, 0.5], [0.0, 0.0]])

self._alt_path = Path([[0.0, 0.5], [1.0, 0.5], [1.0, 1.0],

[0.0, 1.0], [0.0, 0.5]])

self._transform.rotate_deg(rotate)

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_diamond(self):

self._transform = Affine2D().translate(-0.5, -0.5).rotate_deg(45)

self._snap_threshold = 5.0

fs = self.get_fillstyle()

if not self._half_fill():

self._path = Path.unit_rectangle()

else:

self._path = Path([[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 0.0]])

self._alt_path = Path([[0.0, 0.0], [0.0, 1.0],

[1.0, 1.0], [0.0, 0.0]])

if fs == 'bottom':

rotate = 270.

elif fs == 'top':

rotate = 90.

elif fs == 'left':

rotate = 180.

else:

rotate = 0.

self._transform.rotate_deg(rotate)

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_thin_diamond(self):

self._set_diamond()

self._transform.scale(0.6, 1.0)

def _set_pentagon(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 5.0

polypath = Path.unit_regular_polygon(5)

fs = self.get_fillstyle()

if not self._half_fill():

self._path = polypath

else:

verts = polypath.vertices

y = (1 + np.sqrt(5)) / 4.

top = Path([verts[0], verts[1], verts[4], verts[0]])

bottom = Path([verts[1], verts[2], verts[3], verts[4], verts[1]])

left = Path([verts[0], verts[1], verts[2], [0, -y], verts[0]])

right = Path([verts[0], verts[4], verts[3], [0, -y], verts[0]])

if fs == 'top':

mpath, mpath_alt = top, bottom

elif fs == 'bottom':

mpath, mpath_alt = bottom, top

elif fs == 'left':

mpath, mpath_alt = left, right

else:

mpath, mpath_alt = right, left

self._path = mpath

self._alt_path = mpath_alt

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_star(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 5.0

fs = self.get_fillstyle()

polypath = Path.unit_regular_star(5, innerCircle=0.381966)

if not self._half_fill():

self._path = polypath

else:

verts = polypath.vertices

top = Path(np.vstack((verts[0:4, :], verts[7:10, :], verts[0])))

bottom = Path(np.vstack((verts[3:8, :], verts[3])))

left = Path(np.vstack((verts[0:6, :], verts[0])))

right = Path(np.vstack((verts[0], verts[5:10, :], verts[0])))

if fs == 'top':

mpath, mpath_alt = top, bottom

elif fs == 'bottom':

mpath, mpath_alt = bottom, top

elif fs == 'left':

mpath, mpath_alt = left, right

else:

mpath, mpath_alt = right, left

self._path = mpath

self._alt_path = mpath_alt

self._alt_transform = self._transform

self._joinstyle = 'bevel'

def _set_hexagon1(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = None

fs = self.get_fillstyle()

polypath = Path.unit_regular_polygon(6)

if not self._half_fill():

self._path = polypath

else:

verts = polypath.vertices

# not drawing inside lines

x = np.abs(np.cos(5 * np.pi / 6.))

top = Path(np.vstack(([-x, 0], verts[(1, 0, 5), :], [x, 0])))

bottom = Path(np.vstack(([-x, 0], verts[2:5, :], [x, 0])))

left = Path(verts[(0, 1, 2, 3), :])

right = Path(verts[(0, 5, 4, 3), :])

if fs == 'top':

mpath, mpath_alt = top, bottom

elif fs == 'bottom':

mpath, mpath_alt = bottom, top

elif fs == 'left':

mpath, mpath_alt = left, right

else:

mpath, mpath_alt = right, left

self._path = mpath

self._alt_path = mpath_alt

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_hexagon2(self):

self._transform = Affine2D().scale(0.5).rotate_deg(30)

self._snap_threshold = None

fs = self.get_fillstyle()

polypath = Path.unit_regular_polygon(6)

if not self._half_fill():

self._path = polypath

else:

verts = polypath.vertices

# not drawing inside lines

x, y = np.sqrt(3) / 4, 3 / 4.

top = Path(verts[(1, 0, 5, 4, 1), :])

bottom = Path(verts[(1, 2, 3, 4), :])

left = Path(np.vstack(([x, y], verts[(0, 1, 2), :],

[-x, -y], [x, y])))

right = Path(np.vstack(([x, y], verts[(5, 4, 3), :], [-x, -y])))

if fs == 'top':

mpath, mpath_alt = top, bottom

elif fs == 'bottom':

mpath, mpath_alt = bottom, top

elif fs == 'left':

mpath, mpath_alt = left, right

else:

mpath, mpath_alt = right, left

self._path = mpath

self._alt_path = mpath_alt

self._alt_transform = self._transform

self._joinstyle = 'miter'

def _set_octagon(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 5.0

fs = self.get_fillstyle()

polypath = Path.unit_regular_polygon(8)

if not self._half_fill():

self._transform.rotate_deg(22.5)

self._path = polypath

else:

x = np.sqrt(2.) / 4.

half = Path([[0, -1], [0, 1], [-x, 1], [-1, x],

[-1, -x], [-x, -1], [0, -1]])

if fs == 'bottom':

rotate = 90.

elif fs == 'top':

rotate = 270.

elif fs == 'right':

rotate = 180.

else:

rotate = 0.

self._transform.rotate_deg(rotate)

self._path = self._alt_path = half

self._alt_transform = self._transform.frozen().rotate_deg(180.0)

self._joinstyle = 'miter'

_line_marker_path = Path([[0.0, -1.0], [0.0, 1.0]])

def _set_vline(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 1.0

self._filled = False

self._path = self._line_marker_path

def _set_hline(self):

self._transform = Affine2D().scale(0.5).rotate_deg(90)

self._snap_threshold = 1.0

self._filled = False

self._path = self._line_marker_path

_tickhoriz_path = Path([[0.0, 0.0], [1.0, 0.0]])

def _set_tickleft(self):

self._transform = Affine2D().scale(-1.0, 1.0)

self._snap_threshold = 1.0

self._filled = False

self._path = self._tickhoriz_path

def _set_tickright(self):

self._transform = Affine2D().scale(1.0, 1.0)

self._snap_threshold = 1.0

self._filled = False

self._path = self._tickhoriz_path

_tickvert_path = Path([[-0.0, 0.0], [-0.0, 1.0]])

def _set_tickup(self):

self._transform = Affine2D().scale(1.0, 1.0)

self._snap_threshold = 1.0

self._filled = False

self._path = self._tickvert_path

def _set_tickdown(self):

self._transform = Affine2D().scale(1.0, -1.0)

self._snap_threshold = 1.0

self._filled = False

self._path = self._tickvert_path

_plus_path = Path([[-1.0, 0.0], [1.0, 0.0],

[0.0, -1.0], [0.0, 1.0]],

[Path.MOVETO, Path.LINETO,

Path.MOVETO, Path.LINETO])

def _set_plus(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 1.0

self._filled = False

self._path = self._plus_path

_tri_path = Path([[0.0, 0.0], [0.0, -1.0],

[0.0, 0.0], [0.8, 0.5],

[0.0, 0.0], [-0.8, 0.5]],

[Path.MOVETO, Path.LINETO,

Path.MOVETO, Path.LINETO,

Path.MOVETO, Path.LINETO])

def _set_tri_down(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 5.0

self._filled = False

self._path = self._tri_path

def _set_tri_up(self):

self._transform = Affine2D().scale(0.5).rotate_deg(180)

self._snap_threshold = 5.0

self._filled = False

self._path = self._tri_path

def _set_tri_left(self):

self._transform = Affine2D().scale(0.5).rotate_deg(270)

self._snap_threshold = 5.0

self._filled = False

self._path = self._tri_path

def _set_tri_right(self):

self._transform = Affine2D().scale(0.5).rotate_deg(90)

self._snap_threshold = 5.0

self._filled = False

self._path = self._tri_path

_caret_path = Path([[-1.0, 1.5], [0.0, 0.0], [1.0, 1.5]])

def _set_caretdown(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path

self._joinstyle = 'miter'

def _set_caretup(self):

self._transform = Affine2D().scale(0.5).rotate_deg(180)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path

self._joinstyle = 'miter'

def _set_caretleft(self):

self._transform = Affine2D().scale(0.5).rotate_deg(270)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path

self._joinstyle = 'miter'

def _set_caretright(self):

self._transform = Affine2D().scale(0.5).rotate_deg(90)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path

self._joinstyle = 'miter'

_caret_path_base = Path([[-1.0, 0.0], [0.0, -1.5], [1.0, 0]])

def _set_caretdownbase(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path_base

self._joinstyle = 'miter'

def _set_caretupbase(self):

self._transform = Affine2D().scale(0.5).rotate_deg(180)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path_base

self._joinstyle = 'miter'

def _set_caretleftbase(self):

self._transform = Affine2D().scale(0.5).rotate_deg(270)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path_base

self._joinstyle = 'miter'

def _set_caretrightbase(self):

self._transform = Affine2D().scale(0.5).rotate_deg(90)

self._snap_threshold = 3.0

self._filled = False

self._path = self._caret_path_base

self._joinstyle = 'miter'

_x_path = Path([[-1.0, -1.0], [1.0, 1.0],

[-1.0, 1.0], [1.0, -1.0]],

[Path.MOVETO, Path.LINETO,

Path.MOVETO, Path.LINETO])

def _set_x(self):

self._transform = Affine2D().scale(0.5)

self._snap_threshold = 3.0

self._filled = False