1481 lines
51 KiB
Python
1481 lines
51 KiB
Python
|
from collections import OrderedDict
|
||
|
|
import types
|
||
|
|
|
||
|
|
import numpy as np
|
||
|
|
|
||
|
|
from matplotlib import cbook, rcParams
|
||
|
|
from matplotlib.axes import Axes
|
||
|
|
import matplotlib.axis as maxis
|
||
|
|
import matplotlib.markers as mmarkers
|
||
|
|
import matplotlib.patches as mpatches
|
||
|
|
import matplotlib.path as mpath
|
||
|
|
import matplotlib.ticker as mticker
|
||
|
|
import matplotlib.transforms as mtransforms
|
||
|
|
import matplotlib.spines as mspines
|
||
|
|
|
||
|
|
|
||
|
|
class PolarTransform(mtransforms.Transform):
|
||
|
|
"""
|
||
|
|
The base polar transform. This handles projection *theta* and
|
||
|
|
*r* into Cartesian coordinate space *x* and *y*, but does not
|
||
|
|
perform the ultimate affine transformation into the correct
|
||
|
|
position.
|
||
|
|
"""
|
||
|
|
input_dims = 2
|
||
|
|
output_dims = 2
|
||
|
|
is_separable = False
|
||
|
|
|
||
|
|
def __init__(self, axis=None, use_rmin=True,
|
||
|
|
_apply_theta_transforms=True):
|
||
|
|
mtransforms.Transform.__init__(self)
|
||
|
|
self._axis = axis
|
||
|
|
self._use_rmin = use_rmin
|
||
|
|
self._apply_theta_transforms = _apply_theta_transforms
|
||
|
|
|
||
|
|
def __str__(self):
|
||
|
|
return ("{}(\n"
|
||
|
|
"{},\n"
|
||
|
|
" use_rmin={},\n"
|
||
|
|
" _apply_theta_transforms={})"
|
||
|
|
.format(type(self).__name__,
|
||
|
|
mtransforms._indent_str(self._axis),
|
||
|
|
self._use_rmin,
|
||
|
|
self._apply_theta_transforms))
|
||
|
|
|
||
|
|
def transform_non_affine(self, tr):
|
||
|
|
# docstring inherited
|
||
|
|
t, r = np.transpose(tr)
|
||
|
|
# PolarAxes does not use the theta transforms here, but apply them for
|
||
|
|
# backwards-compatibility if not being used by it.
|
||
|
|
if self._apply_theta_transforms and self._axis is not None:
|
||
|
|
t *= self._axis.get_theta_direction()
|
||
|
|
t += self._axis.get_theta_offset()
|
||
|
|
if self._use_rmin and self._axis is not None:
|
||
|
|
r = (r - self._axis.get_rorigin()) * self._axis.get_rsign()
|
||
|
|
r = np.where(r >= 0, r, np.nan)
|
||
|
|
return np.column_stack([r * np.cos(t), r * np.sin(t)])
|
||
|
|
|
||
|
|
def transform_path_non_affine(self, path):
|
||
|
|
# docstring inherited
|
||
|
|
vertices = path.vertices
|
||
|
|
if len(vertices) == 2 and vertices[0, 0] == vertices[1, 0]:
|
||
|
|
return mpath.Path(self.transform(vertices), path.codes)
|
||
|
|
ipath = path.interpolated(path._interpolation_steps)
|
||
|
|
return mpath.Path(self.transform(ipath.vertices), ipath.codes)
|
||
|
|
|
||
|
|
def inverted(self):
|
||
|
|
# docstring inherited
|
||
|
|
return PolarAxes.InvertedPolarTransform(self._axis, self._use_rmin,
|
||
|
|
self._apply_theta_transforms)
|
||
|
|
|
||
|
|
|
||
|
|
class PolarAffine(mtransforms.Affine2DBase):
|
||
|
|
"""
|
||
|
|
The affine part of the polar projection. Scales the output so
|
||
|
|
that maximum radius rests on the edge of the axes circle.
|
||
|
|
"""
|
||
|
|
def __init__(self, scale_transform, limits):
|
||
|
|
"""
|
||
|
|
*limits* is the view limit of the data. The only part of
|
||
|
|
its bounds that is used is the y limits (for the radius limits).
|
||
|
|
The theta range is handled by the non-affine transform.
|
||
|
|
"""
|
||
|
|
mtransforms.Affine2DBase.__init__(self)
|
||
|
|
self._scale_transform = scale_transform
|
||
|
|
self._limits = limits
|
||
|
|
self.set_children(scale_transform, limits)
|
||
|
|
self._mtx = None
|
||
|
|
|
||
|
|
def __str__(self):
|
||
|
|
return ("{}(\n"
|
||
|
|
"{},\n"
|
||
|
|
"{})"
|
||
|
|
.format(type(self).__name__,
|
||
|
|
mtransforms._indent_str(self._scale_transform),
|
||
|
|
mtransforms._indent_str(self._limits)))
|
||
|
|
|
||
|
|
def get_matrix(self):
|
||
|
|
# docstring inherited
|
||
|
|
if self._invalid:
|
||
|
|
limits_scaled = self._limits.transformed(self._scale_transform)
|
||
|
|
yscale = limits_scaled.ymax - limits_scaled.ymin
|
||
|
|
affine = mtransforms.Affine2D() \
|
||
|
|
.scale(0.5 / yscale) \
|
||
|
|
.translate(0.5, 0.5)
|
||
|
|
self._mtx = affine.get_matrix()
|
||
|
|
self._inverted = None
|
||
|
|
self._invalid = 0
|
||
|
|
return self._mtx
|
||
|
|
|
||
|
|
|
||
|
|
class InvertedPolarTransform(mtransforms.Transform):
|
||
|
|
"""
|
||
|
|
The inverse of the polar transform, mapping Cartesian
|
||
|
|
coordinate space *x* and *y* back to *theta* and *r*.
|
||
|
|
"""
|
||
|
|
input_dims = 2
|
||
|
|
output_dims = 2
|
||
|
|
is_separable = False
|
||
|
|
|
||
|
|
def __init__(self, axis=None, use_rmin=True,
|
||
|
|
_apply_theta_transforms=True):
|
||
|
|
mtransforms.Transform.__init__(self)
|
||
|
|
self._axis = axis
|
||
|
|
self._use_rmin = use_rmin
|
||
|
|
self._apply_theta_transforms = _apply_theta_transforms
|
||
|
|
|
||
|
|
def __str__(self):
|
||
|
|
return ("{}(\n"
|
||
|
|
"{},\n"
|
||
|
|
" use_rmin={},\n"
|
||
|
|
" _apply_theta_transforms={})"
|
||
|
|
.format(type(self).__name__,
|
||
|
|
mtransforms._indent_str(self._axis),
|
||
|
|
self._use_rmin,
|
||
|
|
self._apply_theta_transforms))
|
||
|
|
|
||
|
|
def transform_non_affine(self, xy):
|
||
|
|
# docstring inherited
|
||
|
|
x = xy[:, 0:1]
|
||
|
|
y = xy[:, 1:]
|
||
|
|
r = np.hypot(x, y)
|
||
|
|
theta = (np.arctan2(y, x) + 2 * np.pi) % (2 * np.pi)
|
||
|
|
|
||
|
|
# PolarAxes does not use the theta transforms here, but apply them for
|
||
|
|
# backwards-compatibility if not being used by it.
|
||
|
|
if self._apply_theta_transforms and self._axis is not None:
|
||
|
|
theta -= self._axis.get_theta_offset()
|
||
|
|
theta *= self._axis.get_theta_direction()
|
||
|
|
theta %= 2 * np.pi
|
||
|
|
|
||
|
|
if self._use_rmin and self._axis is not None:
|
||
|
|
r += self._axis.get_rorigin()
|
||
|
|
r *= self._axis.get_rsign()
|
||
|
|
|
||
|
|
return np.concatenate((theta, r), 1)
|
||
|
|
|
||
|
|
def inverted(self):
|
||
|
|
# docstring inherited
|
||
|
|
return PolarAxes.PolarTransform(self._axis, self._use_rmin,
|
||
|
|
self._apply_theta_transforms)
|
||
|
|
|
||
|
|
|
||
|
|
class ThetaFormatter(mticker.Formatter):
|
||
|
|
"""
|
||
|
|
Used to format the *theta* tick labels. Converts the native
|
||
|
|
unit of radians into degrees and adds a degree symbol.
|
||
|
|
"""
|
||
|
|
def __call__(self, x, pos=None):
|
||
|
|
vmin, vmax = self.axis.get_view_interval()
|
||
|
|
d = np.rad2deg(abs(vmax - vmin))
|
||
|
|
digits = max(-int(np.log10(d) - 1.5), 0)
|
||
|
|
|
||
|
|
if rcParams['text.usetex'] and not rcParams['text.latex.unicode']:
|
||
|
|
format_str = r"${value:0.{digits:d}f}^\circ$"
|
||
|
|
return format_str.format(value=np.rad2deg(x), digits=digits)
|
||
|
|
else:
|
||
|
|
# we use unicode, rather than mathtext with \circ, so
|
||
|
|
# that it will work correctly with any arbitrary font
|
||
|
|
# (assuming it has a degree sign), whereas $5\circ$
|
||
|
|
# will only work correctly with one of the supported
|
||
|
|
# math fonts (Computer Modern and STIX)
|
||
|
|
format_str = "{value:0.{digits:d}f}\N{DEGREE SIGN}"
|
||
|
|
return format_str.format(value=np.rad2deg(x), digits=digits)
|
||
|
|
|
||
|
|
|
||
|
|
class _AxisWrapper(object):
|
||
|
|
def __init__(self, axis):
|
||
|
|
self._axis = axis
|
||
|
|
|
||
|
|
def get_view_interval(self):
|
||
|
|
return np.rad2deg(self._axis.get_view_interval())
|
||
|
|
|
||
|
|
def set_view_interval(self, vmin, vmax):
|
||
|
|
self._axis.set_view_interval(*np.deg2rad((vmin, vmax)))
|
||
|
|
|
||
|
|
def get_minpos(self):
|
||
|
|
return np.rad2deg(self._axis.get_minpos())
|
||
|
|
|
||
|
|
def get_data_interval(self):
|
||
|
|
return np.rad2deg(self._axis.get_data_interval())
|
||
|
|
|
||
|
|
def set_data_interval(self, vmin, vmax):
|
||
|
|
self._axis.set_data_interval(*np.deg2rad((vmin, vmax)))
|
||
|
|
|
||
|
|
def get_tick_space(self):
|
||
|
|
return self._axis.get_tick_space()
|
||
|
|
|
||
|
|
|
||
|
|
class ThetaLocator(mticker.Locator):
|
||
|
|
"""
|
||
|
|
Used to locate theta ticks.
|
||
|
|
|
||
|
|
This will work the same as the base locator except in the case that the
|
||
|
|
view spans the entire circle. In such cases, the previously used default
|
||
|
|
locations of every 45 degrees are returned.
|
||
|
|
"""
|
||
|
|
def __init__(self, base):
|
||
|
|
self.base = base
|
||
|
|
self.axis = self.base.axis = _AxisWrapper(self.base.axis)
|
||
|
|
|
||
|
|
def set_axis(self, axis):
|
||
|
|
self.axis = _AxisWrapper(axis)
|
||
|
|
self.base.set_axis(self.axis)
|
||
|
|
|
||
|
|
def __call__(self):
|
||
|
|
lim = self.axis.get_view_interval()
|
||
|
|
if _is_full_circle_deg(lim[0], lim[1]):
|
||
|
|
return np.arange(8) * 2 * np.pi / 8
|
||
|
|
else:
|
||
|
|
return np.deg2rad(self.base())
|
||
|
|
|
||
|
|
def autoscale(self):
|
||
|
|
return self.base.autoscale()
|
||
|
|
|
||
|
|
def pan(self, numsteps):
|
||
|
|
return self.base.pan(numsteps)
|
||
|
|
|
||
|
|
def refresh(self):
|
||
|
|
return self.base.refresh()
|
||
|
|
|
||
|
|
def view_limits(self, vmin, vmax):
|
||
|
|
vmin, vmax = np.rad2deg((vmin, vmax))
|
||
|
|
return np.deg2rad(self.base.view_limits(vmin, vmax))
|
||
|
|
|
||
|
|
def zoom(self, direction):
|
||
|
|
return self.base.zoom(direction)
|
||
|
|
|
||
|
|
|
||
|
|
class ThetaTick(maxis.XTick):
|
||
|
|
"""
|
||
|
|
A theta-axis tick.
|
||
|
|
|
||
|
|
This subclass of `XTick` provides angular ticks with some small
|
||
|
|
modification to their re-positioning such that ticks are rotated based on
|
||
|
|
tick location. This results in ticks that are correctly perpendicular to
|
||
|
|
the arc spine.
|
||
|
|
|
||
|
|
When 'auto' rotation is enabled, labels are also rotated to be parallel to
|
||
|
|
the spine. The label padding is also applied here since it's not possible
|
||
|
|
to use a generic axes transform to produce tick-specific padding.
|
||
|
|
"""
|
||
|
|
def __init__(self, axes, *args, **kwargs):
|
||
|
|
self._text1_translate = mtransforms.ScaledTranslation(
|
||
|
|
0, 0,
|
||
|
|
axes.figure.dpi_scale_trans)
|
||
|
|
self._text2_translate = mtransforms.ScaledTranslation(
|
||
|
|
0, 0,
|
||
|
|
axes.figure.dpi_scale_trans)
|
||
|
|
super().__init__(axes, *args, **kwargs)
|
||
|
|
|
||
|
|
def _get_text1(self):
|
||
|
|
t = super()._get_text1()
|
||
|
|
t.set_rotation_mode('anchor')
|
||
|
|
t.set_transform(t.get_transform() + self._text1_translate)
|
||
|
|
return t
|
||
|
|
|
||
|
|
def _get_text2(self):
|
||
|
|
t = super()._get_text2()
|
||
|
|
t.set_rotation_mode('anchor')
|
||
|
|
t.set_transform(t.get_transform() + self._text2_translate)
|
||
|
|
return t
|
||
|
|
|
||
|
|
def _apply_params(self, **kw):
|
||
|
|
super()._apply_params(**kw)
|
||
|
|
|
||
|
|
# Ensure transform is correct; sometimes this gets reset.
|
||
|
|
trans = self.label1.get_transform()
|
||
|
|
if not trans.contains_branch(self._text1_translate):
|
||
|
|
self.label1.set_transform(trans + self._text1_translate)
|
||
|
|
trans = self.label2.get_transform()
|
||
|
|
if not trans.contains_branch(self._text2_translate):
|
||
|
|
self.label2.set_transform(trans + self._text2_translate)
|
||
|
|
|
||
|
|
def _update_padding(self, pad, angle):
|
||
|
|
padx = pad * np.cos(angle) / 72
|
||
|
|
pady = pad * np.sin(angle) / 72
|
||
|
|
self._text1_translate._t = (padx, pady)
|
||
|
|
self._text1_translate.invalidate()
|
||
|
|
self._text2_translate._t = (-padx, -pady)
|
||
|
|
self._text2_translate.invalidate()
|
||
|
|
|
||
|
|
def update_position(self, loc):
|
||
|
|
super().update_position(loc)
|
||
|
|
axes = self.axes
|
||
|
|
angle = loc * axes.get_theta_direction() + axes.get_theta_offset()
|
||
|
|
text_angle = np.rad2deg(angle) % 360 - 90
|
||
|
|
angle -= np.pi / 2
|
||
|
|
|
||
|
|
marker = self.tick1line.get_marker()
|
||
|
|
if marker in (mmarkers.TICKUP, '|'):
|
||
|
|
trans = mtransforms.Affine2D().scale(1, 1).rotate(angle)
|
||
|
|
elif marker == mmarkers.TICKDOWN:
|
||
|
|
trans = mtransforms.Affine2D().scale(1, -1).rotate(angle)
|
||
|
|
else:
|
||
|
|
# Don't modify custom tick line markers.
|
||
|
|
trans = self.tick1line._marker._transform
|
||
|
|
self.tick1line._marker._transform = trans
|
||
|
|
|
||
|
|
marker = self.tick2line.get_marker()
|
||
|
|
if marker in (mmarkers.TICKUP, '|'):
|
||
|
|
trans = mtransforms.Affine2D().scale(1, 1).rotate(angle)
|
||
|
|
elif marker == mmarkers.TICKDOWN:
|
||
|
|
trans = mtransforms.Affine2D().scale(1, -1).rotate(angle)
|
||
|
|
else:
|
||
|
|
# Don't modify custom tick line markers.
|
||
|
|
trans = self.tick2line._marker._transform
|
||
|
|
self.tick2line._marker._transform = trans
|
||
|
|
|
||
|
|
mode, user_angle = self._labelrotation
|
||
|
|
if mode == 'default':
|
||
|
|
text_angle = user_angle
|
||
|
|
else:
|
||
|
|
if text_angle > 90:
|
||
|
|
text_angle -= 180
|
||
|
|
elif text_angle < -90:
|
||
|
|
text_angle += 180
|
||
|
|
text_angle += user_angle
|
||
|
|
self.label1.set_rotation(text_angle)
|
||
|
|
self.label2.set_rotation(text_angle)
|
||
|
|
|
||
|
|
# This extra padding helps preserve the look from previous releases but
|
||
|
|
# is also needed because labels are anchored to their center.
|
||
|
|
pad = self._pad + 7
|
||
|
|
self._update_padding(pad,
|
||
|
|
self._loc * axes.get_theta_direction() +
|
||
|
|
axes.get_theta_offset())
|
||
|
|
|
||
|
|
|
||
|
|
class ThetaAxis(maxis.XAxis):
|
||
|
|
"""
|
||
|
|
A theta Axis.
|
||
|
|
|
||
|
|
This overrides certain properties of an `XAxis` to provide special-casing
|
||
|
|
for an angular axis.
|
||
|
|
"""
|
||
|
|
__name__ = 'thetaaxis'
|
||
|
|
axis_name = 'theta'
|
||
|
|
|
||
|
|
def _get_tick(self, major):
|
||
|
|
if major:
|
||
|
|
tick_kw = self._major_tick_kw
|
||
|
|
else:
|
||
|
|
tick_kw = self._minor_tick_kw
|
||
|
|
return ThetaTick(self.axes, 0, '', major=major, **tick_kw)
|
||
|
|
|
||
|
|
def _wrap_locator_formatter(self):
|
||
|
|
self.set_major_locator(ThetaLocator(self.get_major_locator()))
|
||
|
|
self.set_major_formatter(ThetaFormatter())
|
||
|
|
self.isDefault_majloc = True
|
||
|
|
self.isDefault_majfmt = True
|
||
|
|
|
||
|
|
def cla(self):
|
||
|
|
super().cla()
|
||
|
|
self.set_ticks_position('none')
|
||
|
|
self._wrap_locator_formatter()
|
||
|
|
|
||
|
|
def _set_scale(self, value, **kwargs):
|
||
|
|
super()._set_scale(value, **kwargs)
|
||
|
|
self._wrap_locator_formatter()
|
||
|
|
|
||
|
|
def _copy_tick_props(self, src, dest):
|
||
|
|
'Copy the props from src tick to dest tick'
|
||
|
|
if src is None or dest is None:
|
||
|
|
return
|
||
|
|
super()._copy_tick_props(src, dest)
|
||
|
|
|
||
|
|
# Ensure that tick transforms are independent so that padding works.
|
||
|
|
trans = dest._get_text1_transform()[0]
|
||
|
|
dest.label1.set_transform(trans + dest._text1_translate)
|
||
|
|
trans = dest._get_text2_transform()[0]
|
||
|
|
dest.label2.set_transform(trans + dest._text2_translate)
|
||
|
|
|
||
|
|
|
||
|
|
class RadialLocator(mticker.Locator):
|
||
|
|
"""
|
||
|
|
Used to locate radius ticks.
|
||
|
|
|
||
|
|
Ensures that all ticks are strictly positive. For all other
|
||
|
|
tasks, it delegates to the base
|
||
|
|
:class:`~matplotlib.ticker.Locator` (which may be different
|
||
|
|
depending on the scale of the *r*-axis.
|
||
|
|
"""
|
||
|
|
def __init__(self, base, axes=None):
|
||
|
|
self.base = base
|
||
|
|
self._axes = axes
|
||
|
|
|
||
|
|
def __call__(self):
|
||
|
|
show_all = True
|
||
|
|
# Ensure previous behaviour with full circle non-annular views.
|
||
|
|
if self._axes:
|
||
|
|
if _is_full_circle_rad(*self._axes.viewLim.intervalx):
|
||
|
|
rorigin = self._axes.get_rorigin() * self._axes.get_rsign()
|
||
|
|
if self._axes.get_rmin() <= rorigin:
|
||
|
|
show_all = False
|
||
|
|
if show_all:
|
||
|
|
return self.base()
|
||
|
|
else:
|
||
|
|
return [tick for tick in self.base() if tick > rorigin]
|
||
|
|
|
||
|
|
def autoscale(self):
|
||
|
|
return self.base.autoscale()
|
||
|
|
|
||
|
|
def pan(self, numsteps):
|
||
|
|
return self.base.pan(numsteps)
|
||
|
|
|
||
|
|
def zoom(self, direction):
|
||
|
|
return self.base.zoom(direction)
|
||
|
|
|
||
|
|
def refresh(self):
|
||
|
|
return self.base.refresh()
|
||
|
|
|
||
|
|
def view_limits(self, vmin, vmax):
|
||
|
|
vmin, vmax = self.base.view_limits(vmin, vmax)
|
||
|
|
if vmax > vmin:
|
||
|
|
# this allows inverted r/y-lims
|
||
|
|
vmin = min(0, vmin)
|
||
|
|
return mtransforms.nonsingular(vmin, vmax)
|
||
|
|
|
||
|
|
|
||
|
|
class _ThetaShift(mtransforms.ScaledTranslation):
|
||
|
|
"""
|
||
|
|
Apply a padding shift based on axes theta limits.
|
||
|
|
|
||
|
|
This is used to create padding for radial ticks.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
axes : `~matplotlib.axes.Axes`
|
||
|
|
The owning axes; used to determine limits.
|
||
|
|
pad : float
|
||
|
|
The padding to apply, in points.
|
||
|
|
mode : {'min', 'max', 'rlabel'}
|
||
|
|
Whether to shift away from the start (``'min'``) or the end (``'max'``)
|
||
|
|
of the axes, or using the rlabel position (``'rlabel'``).
|
||
|
|
"""
|
||
|
|
def __init__(self, axes, pad, mode):
|
||
|
|
mtransforms.ScaledTranslation.__init__(self, pad, pad,
|
||
|
|
axes.figure.dpi_scale_trans)
|
||
|
|
self.set_children(axes._realViewLim)
|
||
|
|
self.axes = axes
|
||
|
|
self.mode = mode
|
||
|
|
self.pad = pad
|
||
|
|
|
||
|
|
def __str__(self):
|
||
|
|
return ("{}(\n"
|
||
|
|
"{},\n"
|
||
|
|
"{},\n"
|
||
|
|
"{})"
|
||
|
|
.format(type(self).__name__,
|
||
|
|
mtransforms._indent_str(self.axes),
|
||
|
|
mtransforms._indent_str(self.pad),
|
||
|
|
mtransforms._indent_str(repr(self.mode))))
|
||
|
|
|
||
|
|
def get_matrix(self):
|
||
|
|
if self._invalid:
|
||
|
|
if self.mode == 'rlabel':
|
||
|
|
angle = (
|
||
|
|
np.deg2rad(self.axes.get_rlabel_position()) *
|
||
|
|
self.axes.get_theta_direction() +
|
||
|
|
self.axes.get_theta_offset()
|
||
|
|
)
|
||
|
|
else:
|
||
|
|
if self.mode == 'min':
|
||
|
|
angle = self.axes._realViewLim.xmin
|
||
|
|
elif self.mode == 'max':
|
||
|
|
angle = self.axes._realViewLim.xmax
|
||
|
|
|
||
|
|
if self.mode in ('rlabel', 'min'):
|
||
|
|
padx = np.cos(angle - np.pi / 2)
|
||
|
|
pady = np.sin(angle - np.pi / 2)
|
||
|
|
else:
|
||
|
|
padx = np.cos(angle + np.pi / 2)
|
||
|
|
pady = np.sin(angle + np.pi / 2)
|
||
|
|
|
||
|
|
self._t = (self.pad * padx / 72, self.pad * pady / 72)
|
||
|
|
return mtransforms.ScaledTranslation.get_matrix(self)
|
||
|
|
|
||
|
|
|
||
|
|
class RadialTick(maxis.YTick):
|
||
|
|
"""
|
||
|
|
A radial-axis tick.
|
||
|
|
|
||
|
|
This subclass of `YTick` provides radial ticks with some small modification
|
||
|
|
to their re-positioning such that ticks are rotated based on axes limits.
|
||
|
|
This results in ticks that are correctly perpendicular to the spine. Labels
|
||
|
|
are also rotated to be perpendicular to the spine, when 'auto' rotation is
|
||
|
|
enabled.
|
||
|
|
"""
|
||
|
|
def _get_text1(self):
|
||
|
|
t = super()._get_text1()
|
||
|
|
t.set_rotation_mode('anchor')
|
||
|
|
return t
|
||
|
|
|
||
|
|
def _get_text2(self):
|
||
|
|
t = super()._get_text2()
|
||
|
|
t.set_rotation_mode('anchor')
|
||
|
|
return t
|
||
|
|
|
||
|
|
def _determine_anchor(self, mode, angle, start):
|
||
|
|
# Note: angle is the (spine angle - 90) because it's used for the tick
|
||
|
|
# & text setup, so all numbers below are -90 from (normed) spine angle.
|
||
|
|
if mode == 'auto':
|
||
|
|
if start:
|
||
|
|
if -90 <= angle <= 90:
|
||
|
|
return 'left', 'center'
|
||
|
|
else:
|
||
|
|
return 'right', 'center'
|
||
|
|
else:
|
||
|
|
if -90 <= angle <= 90:
|
||
|
|
return 'right', 'center'
|
||
|
|
else:
|
||
|
|
return 'left', 'center'
|
||
|
|
else:
|
||
|
|
if start:
|
||
|
|
if angle < -68.5:
|
||
|
|
return 'center', 'top'
|
||
|
|
elif angle < -23.5:
|
||
|
|
return 'left', 'top'
|
||
|
|
elif angle < 22.5:
|
||
|
|
return 'left', 'center'
|
||
|
|
elif angle < 67.5:
|
||
|
|
return 'left', 'bottom'
|
||
|
|
elif angle < 112.5:
|
||
|
|
return 'center', 'bottom'
|
||
|
|
elif angle < 157.5:
|
||
|
|
return 'right', 'bottom'
|
||
|
|
elif angle < 202.5:
|
||
|
|
return 'right', 'center'
|
||
|
|
elif angle < 247.5:
|
||
|
|
return 'right', 'top'
|
||
|
|
else:
|
||
|
|
return 'center', 'top'
|
||
|
|
else:
|
||
|
|
if angle < -68.5:
|
||
|
|
return 'center', 'bottom'
|
||
|
|
elif angle < -23.5:
|
||
|
|
return 'right', 'bottom'
|
||
|
|
elif angle < 22.5:
|
||
|
|
return 'right', 'center'
|
||
|
|
elif angle < 67.5:
|
||
|
|
return 'right', 'top'
|
||
|
|
elif angle < 112.5:
|
||
|
|
return 'center', 'top'
|
||
|
|
elif angle < 157.5:
|
||
|
|
return 'left', 'top'
|
||
|
|
elif angle < 202.5:
|
||
|
|
return 'left', 'center'
|
||
|
|
elif angle < 247.5:
|
||
|
|
return 'left', 'bottom'
|
||
|
|
else:
|
||
|
|
return 'center', 'bottom'
|
||
|
|
|
||
|
|
def update_position(self, loc):
|
||
|
|
super().update_position(loc)
|
||
|
|
axes = self.axes
|
||
|
|
thetamin = axes.get_thetamin()
|
||
|
|
thetamax = axes.get_thetamax()
|
||
|
|
direction = axes.get_theta_direction()
|
||
|
|
offset_rad = axes.get_theta_offset()
|
||
|
|
offset = np.rad2deg(offset_rad)
|
||
|
|
full = _is_full_circle_deg(thetamin, thetamax)
|
||
|
|
|
||
|
|
if full:
|
||
|
|
angle = (axes.get_rlabel_position() * direction +
|
||
|
|
offset) % 360 - 90
|
||
|
|
tick_angle = 0
|
||
|
|
else:
|
||
|
|
angle = (thetamin * direction + offset) % 360 - 90
|
||
|
|
if direction > 0:
|
||
|
|
tick_angle = np.deg2rad(angle)
|
||
|
|
else:
|
||
|
|
tick_angle = np.deg2rad(angle + 180)
|
||
|
|
text_angle = (angle + 90) % 180 - 90 # between -90 and +90.
|
||
|
|
mode, user_angle = self._labelrotation
|
||
|
|
if mode == 'auto':
|
||
|
|
text_angle += user_angle
|
||
|
|
else:
|
||
|
|
text_angle = user_angle
|
||
|
|
|
||
|
|
if full:
|
||
|
|
ha = self.label1.get_horizontalalignment()
|
||
|
|
va = self.label1.get_verticalalignment()
|
||
|
|
else:
|
||
|
|
ha, va = self._determine_anchor(mode, angle, direction > 0)
|
||
|
|
self.label1.set_horizontalalignment(ha)
|
||
|
|
self.label1.set_verticalalignment(va)
|
||
|
|
self.label1.set_rotation(text_angle)
|
||
|
|
|
||
|
|
marker = self.tick1line.get_marker()
|
||
|
|
if marker == mmarkers.TICKLEFT:
|
||
|
|
trans = mtransforms.Affine2D().rotate(tick_angle)
|
||
|
|
elif marker == '_':
|
||
|
|
trans = mtransforms.Affine2D().rotate(tick_angle + np.pi / 2)
|
||
|
|
elif marker == mmarkers.TICKRIGHT:
|
||
|
|
trans = mtransforms.Affine2D().scale(-1, 1).rotate(tick_angle)
|
||
|
|
else:
|
||
|
|
# Don't modify custom tick line markers.
|
||
|
|
trans = self.tick1line._marker._transform
|
||
|
|
self.tick1line._marker._transform = trans
|
||
|
|
|
||
|
|
if full:
|
||
|
|
self.label2.set_visible(False)
|
||
|
|
self.tick2line.set_visible(False)
|
||
|
|
angle = (thetamax * direction + offset) % 360 - 90
|
||
|
|
if direction > 0:
|
||
|
|
tick_angle = np.deg2rad(angle)
|
||
|
|
else:
|
||
|
|
tick_angle = np.deg2rad(angle + 180)
|
||
|
|
text_angle = (angle + 90) % 180 - 90 # between -90 and +90.
|
||
|
|
mode, user_angle = self._labelrotation
|
||
|
|
if mode == 'auto':
|
||
|
|
text_angle += user_angle
|
||
|
|
else:
|
||
|
|
text_angle = user_angle
|
||
|
|
|
||
|
|
ha, va = self._determine_anchor(mode, angle, direction < 0)
|
||
|
|
self.label2.set_ha(ha)
|
||
|
|
self.label2.set_va(va)
|
||
|
|
self.label2.set_rotation(text_angle)
|
||
|
|
|
||
|
|
marker = self.tick2line.get_marker()
|
||
|
|
if marker == mmarkers.TICKLEFT:
|
||
|
|
trans = mtransforms.Affine2D().rotate(tick_angle)
|
||
|
|
elif marker == '_':
|
||
|
|
trans = mtransforms.Affine2D().rotate(tick_angle + np.pi / 2)
|
||
|
|
elif marker == mmarkers.TICKRIGHT:
|
||
|
|
trans = mtransforms.Affine2D().scale(-1, 1).rotate(tick_angle)
|
||
|
|
else:
|
||
|
|
# Don't modify custom tick line markers.
|
||
|
|
trans = self.tick2line._marker._transform
|
||
|
|
self.tick2line._marker._transform = trans
|
||
|
|
|
||
|
|
|
||
|
|
class RadialAxis(maxis.YAxis):
|
||
|
|
"""
|
||
|
|
A radial Axis.
|
||
|
|
|
||
|
|
This overrides certain properties of a `YAxis` to provide special-casing
|
||
|
|
for a radial axis.
|
||
|
|
"""
|
||
|
|
__name__ = 'radialaxis'
|
||
|
|
axis_name = 'radius'
|
||
|
|
|
||
|
|
def __init__(self, *args, **kwargs):
|
||
|
|
super().__init__(*args, **kwargs)
|
||
|
|
self.sticky_edges.y.append(0)
|
||
|
|
|
||
|
|
def _get_tick(self, major):
|
||
|
|
if major:
|
||
|
|
tick_kw = self._major_tick_kw
|
||
|
|
else:
|
||
|
|
tick_kw = self._minor_tick_kw
|
||
|
|
return RadialTick(self.axes, 0, '', major=major, **tick_kw)
|
||
|
|
|
||
|
|
def _wrap_locator_formatter(self):
|
||
|
|
self.set_major_locator(RadialLocator(self.get_major_locator(),
|
||
|
|
self.axes))
|
||
|
|
self.isDefault_majloc = True
|
||
|
|
|
||
|
|
def cla(self):
|
||
|
|
super().cla()
|
||
|
|
self.set_ticks_position('none')
|
||
|
|
self._wrap_locator_formatter()
|
||
|
|
|
||
|
|
def _set_scale(self, value, **kwargs):
|
||
|
|
super()._set_scale(value, **kwargs)
|
||
|
|
self._wrap_locator_formatter()
|
||
|
|
|
||
|
|
|
||
|
|
def _is_full_circle_deg(thetamin, thetamax):
|
||
|
|
"""
|
||
|
|
Determine if a wedge (in degrees) spans the full circle.
|
||
|
|
|
||
|
|
The condition is derived from :class:`~matplotlib.patches.Wedge`.
|
||
|
|
"""
|
||
|
|
return abs(abs(thetamax - thetamin) - 360.0) < 1e-12
|
||
|
|
|
||
|
|
|
||
|
|
def _is_full_circle_rad(thetamin, thetamax):
|
||
|
|
"""
|
||
|
|
Determine if a wedge (in radians) spans the full circle.
|
||
|
|
|
||
|
|
The condition is derived from :class:`~matplotlib.patches.Wedge`.
|
||
|
|
"""
|
||
|
|
return abs(abs(thetamax - thetamin) - 2 * np.pi) < 1.74e-14
|
||
|
|
|
||
|
|
|
||
|
|
class _WedgeBbox(mtransforms.Bbox):
|
||
|
|
"""
|
||
|
|
Transform (theta,r) wedge Bbox into axes bounding box.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
center : (float, float)
|
||
|
|
Center of the wedge
|
||
|
|
viewLim : `~matplotlib.transforms.Bbox`
|
||
|
|
Bbox determining the boundaries of the wedge
|
||
|
|
originLim : `~matplotlib.transforms.Bbox`
|
||
|
|
Bbox determining the origin for the wedge, if different from *viewLim*
|
||
|
|
"""
|
||
|
|
def __init__(self, center, viewLim, originLim, **kwargs):
|
||
|
|
mtransforms.Bbox.__init__(self,
|
||
|
|
np.array([[0.0, 0.0], [1.0, 1.0]], np.float),
|
||
|
|
**kwargs)
|
||
|
|
self._center = center
|
||
|
|
self._viewLim = viewLim
|
||
|
|
self._originLim = originLim
|
||
|
|
self.set_children(viewLim, originLim)
|
||
|
|
|
||
|
|
def __str__(self):
|
||
|
|
return ("{}(\n"
|
||
|
|
"{},\n"
|
||
|
|
"{},\n"
|
||
|
|
"{})"
|
||
|
|
.format(type(self).__name__,
|
||
|
|
mtransforms._indent_str(self._center),
|
||
|
|
mtransforms._indent_str(self._viewLim),
|
||
|
|
mtransforms._indent_str(self._originLim)))
|
||
|
|
|
||
|
|
def get_points(self):
|
||
|
|
# docstring inherited
|
||
|
|
if self._invalid:
|
||
|
|
points = self._viewLim.get_points().copy()
|
||
|
|
# Scale angular limits to work with Wedge.
|
||
|
|
points[:, 0] *= 180 / np.pi
|
||
|
|
if points[0, 0] > points[1, 0]:
|
||
|
|
points[:, 0] = points[::-1, 0]
|
||
|
|
|
||
|
|
# Scale radial limits based on origin radius.
|
||
|
|
points[:, 1] -= self._originLim.y0
|
||
|
|
|
||
|
|
# Scale radial limits to match axes limits.
|
||
|
|
rscale = 0.5 / points[1, 1]
|
||
|
|
points[:, 1] *= rscale
|
||
|
|
width = min(points[1, 1] - points[0, 1], 0.5)
|
||
|
|
|
||
|
|
# Generate bounding box for wedge.
|
||
|
|
wedge = mpatches.Wedge(self._center, points[1, 1],
|
||
|
|
points[0, 0], points[1, 0],
|
||
|
|
width=width)
|
||
|
|
self.update_from_path(wedge.get_path())
|
||
|
|
|
||
|
|
# Ensure equal aspect ratio.
|
||
|
|
w, h = self._points[1] - self._points[0]
|
||
|
|
deltah = max(w - h, 0) / 2
|
||
|
|
deltaw = max(h - w, 0) / 2
|
||
|
|
self._points += np.array([[-deltaw, -deltah], [deltaw, deltah]])
|
||
|
|
|
||
|
|
self._invalid = 0
|
||
|
|
|
||
|
|
return self._points
|
||
|
|
|
||
|
|
|
||
|
|
class PolarAxes(Axes):
|
||
|
|
"""
|
||
|
|
A polar graph projection, where the input dimensions are *theta*, *r*.
|
||
|
|
|
||
|
|
Theta starts pointing east and goes anti-clockwise.
|
||
|
|
"""
|
||
|
|
name = 'polar'
|
||
|
|
|
||
|
|
def __init__(self, *args,
|
||
|
|
theta_offset=0, theta_direction=1, rlabel_position=22.5,
|
||
|
|
**kwargs):
|
||
|
|
# docstring inherited
|
||
|
|
self._default_theta_offset = theta_offset
|
||
|
|
self._default_theta_direction = theta_direction
|
||
|
|
self._default_rlabel_position = np.deg2rad(rlabel_position)
|
||
|
|
super().__init__(*args, **kwargs)
|
||
|
|
self.use_sticky_edges = True
|
||
|
|
self.set_aspect('equal', adjustable='box', anchor='C')
|
||
|
|
self.cla()
|
||
|
|
|
||
|
|
def cla(self):
|
||
|
|
Axes.cla(self)
|
||
|
|
|
||
|
|
self.title.set_y(1.05)
|
||
|
|
|
||
|
|
start = self.spines.get('start', None)
|
||
|
|
if start:
|
||
|
|
start.set_visible(False)
|
||
|
|
end = self.spines.get('end', None)
|
||
|
|
if end:
|
||
|
|
end.set_visible(False)
|
||
|
|
self.set_xlim(0.0, 2 * np.pi)
|
||
|
|
|
||
|
|
self.grid(rcParams['polaraxes.grid'])
|
||
|
|
inner = self.spines.get('inner', None)
|
||
|
|
if inner:
|
||
|
|
inner.set_visible(False)
|
||
|
|
|
||
|
|
self.set_rorigin(None)
|
||
|
|
self.set_theta_offset(self._default_theta_offset)
|
||
|
|
self.set_theta_direction(self._default_theta_direction)
|
||
|
|
|
||
|
|
def _init_axis(self):
|
||
|
|
"move this out of __init__ because non-separable axes don't use it"
|
||
|
|
self.xaxis = ThetaAxis(self)
|
||
|
|
self.yaxis = RadialAxis(self)
|
||
|
|
# Calling polar_axes.xaxis.cla() or polar_axes.xaxis.cla()
|
||
|
|
# results in weird artifacts. Therefore we disable this for
|
||
|
|
# now.
|
||
|
|
# self.spines['polar'].register_axis(self.yaxis)
|
||
|
|
self._update_transScale()
|
||
|
|
|
||
|
|
def _set_lim_and_transforms(self):
|
||
|
|
# A view limit where the minimum radius can be locked if the user
|
||
|
|
# specifies an alternate origin.
|
||
|
|
self._originViewLim = mtransforms.LockableBbox(self.viewLim)
|
||
|
|
|
||
|
|
# Handle angular offset and direction.
|
||
|
|
self._direction = mtransforms.Affine2D() \
|
||
|
|
.scale(self._default_theta_direction, 1.0)
|
||
|
|
self._theta_offset = mtransforms.Affine2D() \
|
||
|
|
.translate(self._default_theta_offset, 0.0)
|
||
|
|
self.transShift = mtransforms.composite_transform_factory(
|
||
|
|
self._direction,
|
||
|
|
self._theta_offset)
|
||
|
|
# A view limit shifted to the correct location after accounting for
|
||
|
|
# orientation and offset.
|
||
|
|
self._realViewLim = mtransforms.TransformedBbox(self.viewLim,
|
||
|
|
self.transShift)
|
||
|
|
|
||
|
|
# Transforms the x and y axis separately by a scale factor
|
||
|
|
# It is assumed that this part will have non-linear components
|
||
|
|
self.transScale = mtransforms.TransformWrapper(
|
||
|
|
mtransforms.IdentityTransform())
|
||
|
|
|
||
|
|
# Scale view limit into a bbox around the selected wedge. This may be
|
||
|
|
# smaller than the usual unit axes rectangle if not plotting the full
|
||
|
|
# circle.
|
||
|
|
self.axesLim = _WedgeBbox((0.5, 0.5),
|
||
|
|
self._realViewLim, self._originViewLim)
|
||
|
|
|
||
|
|
# Scale the wedge to fill the axes.
|
||
|
|
self.transWedge = mtransforms.BboxTransformFrom(self.axesLim)
|
||
|
|
|
||
|
|
# Scale the axes to fill the figure.
|
||
|
|
self.transAxes = mtransforms.BboxTransformTo(self.bbox)
|
||
|
|
|
||
|
|
# A (possibly non-linear) projection on the (already scaled)
|
||
|
|
# data. This one is aware of rmin
|
||
|
|
self.transProjection = self.PolarTransform(
|
||
|
|
self,
|
||
|
|
_apply_theta_transforms=False)
|
||
|
|
# Add dependency on rorigin.
|
||
|
|
self.transProjection.set_children(self._originViewLim)
|
||
|
|
|
||
|
|
# An affine transformation on the data, generally to limit the
|
||
|
|
# range of the axes
|
||
|
|
self.transProjectionAffine = self.PolarAffine(self.transScale,
|
||
|
|
self._originViewLim)
|
||
|
|
|
||
|
|
# The complete data transformation stack -- from data all the
|
||
|
|
# way to display coordinates
|
||
|
|
self.transData = (
|
||
|
|
self.transScale + self.transShift + self.transProjection +
|
||
|
|
(self.transProjectionAffine + self.transWedge + self.transAxes))
|
||
|
|
|
||
|
|
# This is the transform for theta-axis ticks. It is
|
||
|
|
# equivalent to transData, except it always puts r == 0.0 and r == 1.0
|
||
|
|
# at the edge of the axis circles.
|
||
|
|
self._xaxis_transform = (
|
||
|
|
mtransforms.blended_transform_factory(
|
||
|
|
mtransforms.IdentityTransform(),
|
||
|
|
mtransforms.BboxTransformTo(self.viewLim)) +
|
||
|
|
self.transData)
|
||
|
|
# The theta labels are flipped along the radius, so that text 1 is on
|
||
|
|
# the outside by default. This should work the same as before.
|
||
|
|
flipr_transform = mtransforms.Affine2D() \
|
||
|
|
.translate(0.0, -0.5) \
|
||
|
|
.scale(1.0, -1.0) \
|
||
|
|
.translate(0.0, 0.5)
|
||
|
|
self._xaxis_text_transform = flipr_transform + self._xaxis_transform
|
||
|
|
|
||
|
|
# This is the transform for r-axis ticks. It scales the theta
|
||
|
|
# axis so the gridlines from 0.0 to 1.0, now go from thetamin to
|
||
|
|
# thetamax.
|
||
|
|
self._yaxis_transform = (
|
||
|
|
mtransforms.blended_transform_factory(
|
||
|
|
mtransforms.BboxTransformTo(self.viewLim),
|
||
|
|
mtransforms.IdentityTransform()) +
|
||
|
|
self.transData)
|
||
|
|
# The r-axis labels are put at an angle and padded in the r-direction
|
||
|
|
self._r_label_position = mtransforms.Affine2D() \
|
||
|
|
.translate(self._default_rlabel_position, 0.0)
|
||
|
|
self._yaxis_text_transform = mtransforms.TransformWrapper(
|
||
|
|
self._r_label_position + self.transData)
|
||
|
|
|
||
|
|
def get_xaxis_transform(self, which='grid'):
|
||
|
|
cbook._check_in_list(['tick1', 'tick2', 'grid'], which=which)
|
||
|
|
return self._xaxis_transform
|
||
|
|
|
||
|
|
def get_xaxis_text1_transform(self, pad):
|
||
|
|
return self._xaxis_text_transform, 'center', 'center'
|
||
|
|
|
||
|
|
def get_xaxis_text2_transform(self, pad):
|
||
|
|
return self._xaxis_text_transform, 'center', 'center'
|
||
|
|
|
||
|
|
def get_yaxis_transform(self, which='grid'):
|
||
|
|
if which in ('tick1', 'tick2'):
|
||
|
|
return self._yaxis_text_transform
|
||
|
|
elif which == 'grid':
|
||
|
|
return self._yaxis_transform
|
||
|
|
else:
|
||
|
|
cbook._check_in_list(['tick1', 'tick2', 'grid'], which=which)
|
||
|
|
|
||
|
|
def get_yaxis_text1_transform(self, pad):
|
||
|
|
thetamin, thetamax = self._realViewLim.intervalx
|
||
|
|
if _is_full_circle_rad(thetamin, thetamax):
|
||
|
|
return self._yaxis_text_transform, 'bottom', 'left'
|
||
|
|
elif self.get_theta_direction() > 0:
|
||
|
|
halign = 'left'
|
||
|
|
pad_shift = _ThetaShift(self, pad, 'min')
|
||
|
|
else:
|
||
|
|
halign = 'right'
|
||
|
|
pad_shift = _ThetaShift(self, pad, 'max')
|
||
|
|
return self._yaxis_text_transform + pad_shift, 'center', halign
|
||
|
|
|
||
|
|
def get_yaxis_text2_transform(self, pad):
|
||
|
|
if self.get_theta_direction() > 0:
|
||
|
|
halign = 'right'
|
||
|
|
pad_shift = _ThetaShift(self, pad, 'max')
|
||
|
|
else:
|
||
|
|
halign = 'left'
|
||
|
|
pad_shift = _ThetaShift(self, pad, 'min')
|
||
|
|
return self._yaxis_text_transform + pad_shift, 'center', halign
|
||
|
|
|
||
|
|
def draw(self, *args, **kwargs):
|
||
|
|
thetamin, thetamax = np.rad2deg(self._realViewLim.intervalx)
|
||
|
|
if thetamin > thetamax:
|
||
|
|
thetamin, thetamax = thetamax, thetamin
|
||
|
|
rmin, rmax = ((self._realViewLim.intervaly - self.get_rorigin()) *
|
||
|
|
self.get_rsign())
|
||
|
|
if isinstance(self.patch, mpatches.Wedge):
|
||
|
|
# Backwards-compatibility: Any subclassed Axes might override the
|
||
|
|
# patch to not be the Wedge that PolarAxes uses.
|
||
|
|
center = self.transWedge.transform_point((0.5, 0.5))
|
||
|
|
self.patch.set_center(center)
|
||
|
|
self.patch.set_theta1(thetamin)
|
||
|
|
self.patch.set_theta2(thetamax)
|
||
|
|
|
||
|
|
edge, _ = self.transWedge.transform_point((1, 0))
|
||
|
|
radius = edge - center[0]
|
||
|
|
width = min(radius * (rmax - rmin) / rmax, radius)
|
||
|
|
self.patch.set_radius(radius)
|
||
|
|
self.patch.set_width(width)
|
||
|
|
|
||
|
|
inner_width = radius - width
|
||
|
|
inner = self.spines.get('inner', None)
|
||
|
|
if inner:
|
||
|
|
inner.set_visible(inner_width != 0.0)
|
||
|
|
|
||
|
|
visible = not _is_full_circle_deg(thetamin, thetamax)
|
||
|
|
# For backwards compatibility, any subclassed Axes might override the
|
||
|
|
# spines to not include start/end that PolarAxes uses.
|
||
|
|
start = self.spines.get('start', None)
|
||
|
|
end = self.spines.get('end', None)
|
||
|
|
if start:
|
||
|
|
start.set_visible(visible)
|
||
|
|
if end:
|
||
|
|
end.set_visible(visible)
|
||
|
|
if visible:
|
||
|
|
yaxis_text_transform = self._yaxis_transform
|
||
|
|
else:
|
||
|
|
yaxis_text_transform = self._r_label_position + self.transData
|
||
|
|
if self._yaxis_text_transform != yaxis_text_transform:
|
||
|
|
self._yaxis_text_transform.set(yaxis_text_transform)
|
||
|
|
self.yaxis.reset_ticks()
|
||
|
|
self.yaxis.set_clip_path(self.patch)
|
||
|
|
|
||
|
|
Axes.draw(self, *args, **kwargs)
|
||
|
|
|
||
|
|
def _gen_axes_patch(self):
|
||
|
|
return mpatches.Wedge((0.5, 0.5), 0.5, 0.0, 360.0)
|
||
|
|
|
||
|
|
def _gen_axes_spines(self):
|
||
|
|
spines = OrderedDict([
|
||
|
|
('polar', mspines.Spine.arc_spine(self, 'top',
|
||
|
|
(0.5, 0.5), 0.5, 0.0, 360.0)),
|
||
|
|
('start', mspines.Spine.linear_spine(self, 'left')),
|
||
|
|
('end', mspines.Spine.linear_spine(self, 'right')),
|
||
|
|
('inner', mspines.Spine.arc_spine(self, 'bottom',
|
||
|
|
(0.5, 0.5), 0.0, 0.0, 360.0))
|
||
|
|
])
|
||
|
|
spines['polar'].set_transform(self.transWedge + self.transAxes)
|
||
|
|
spines['inner'].set_transform(self.transWedge + self.transAxes)
|
||
|
|
spines['start'].set_transform(self._yaxis_transform)
|
||
|
|
spines['end'].set_transform(self._yaxis_transform)
|
||
|
|
return spines
|
||
|
|
|
||
|
|
def set_thetamax(self, thetamax):
|
||
|
|
self.viewLim.x1 = np.deg2rad(thetamax)
|
||
|
|
|
||
|
|
def get_thetamax(self):
|
||
|
|
return np.rad2deg(self.viewLim.xmax)
|
||
|
|
|
||
|
|
def set_thetamin(self, thetamin):
|
||
|
|
self.viewLim.x0 = np.deg2rad(thetamin)
|
||
|
|
|
||
|
|
def get_thetamin(self):
|
||
|
|
return np.rad2deg(self.viewLim.xmin)
|
||
|
|
|
||
|
|
def set_thetalim(self, *args, **kwargs):
|
||
|
|
"""
|
||
|
|
Set the minimum and maximum theta values.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
thetamin : float
|
||
|
|
Minimum value in degrees.
|
||
|
|
thetamax : float
|
||
|
|
Maximum value in degrees.
|
||
|
|
"""
|
||
|
|
if 'thetamin' in kwargs:
|
||
|
|
kwargs['xmin'] = np.deg2rad(kwargs.pop('thetamin'))
|
||
|
|
if 'thetamax' in kwargs:
|
||
|
|
kwargs['xmax'] = np.deg2rad(kwargs.pop('thetamax'))
|
||
|
|
return tuple(np.rad2deg(self.set_xlim(*args, **kwargs)))
|
||
|
|
|
||
|
|
def set_theta_offset(self, offset):
|
||
|
|
"""
|
||
|
|
Set the offset for the location of 0 in radians.
|
||
|
|
"""
|
||
|
|
mtx = self._theta_offset.get_matrix()
|
||
|
|
mtx[0, 2] = offset
|
||
|
|
self._theta_offset.invalidate()
|
||
|
|
|
||
|
|
def get_theta_offset(self):
|
||
|
|
"""
|
||
|
|
Get the offset for the location of 0 in radians.
|
||
|
|
"""
|
||
|
|
return self._theta_offset.get_matrix()[0, 2]
|
||
|
|
|
||
|
|
def set_theta_zero_location(self, loc, offset=0.0):
|
||
|
|
"""
|
||
|
|
Sets the location of theta's zero. (Calls set_theta_offset
|
||
|
|
with the correct value in radians under the hood.)
|
||
|
|
|
||
|
|
loc : str
|
||
|
|
May be one of "N", "NW", "W", "SW", "S", "SE", "E", or "NE".
|
||
|
|
|
||
|
|
offset : float, optional
|
||
|
|
An offset in degrees to apply from the specified `loc`. **Note:**
|
||
|
|
this offset is *always* applied counter-clockwise regardless of
|
||
|
|
the direction setting.
|
||
|
|
"""
|
||
|
|
mapping = {
|
||
|
|
'N': np.pi * 0.5,
|
||
|
|
'NW': np.pi * 0.75,
|
||
|
|
'W': np.pi,
|
||
|
|
'SW': np.pi * 1.25,
|
||
|
|
'S': np.pi * 1.5,
|
||
|
|
'SE': np.pi * 1.75,
|
||
|
|
'E': 0,
|
||
|
|
'NE': np.pi * 0.25}
|
||
|
|
return self.set_theta_offset(mapping[loc] + np.deg2rad(offset))
|
||
|
|
|
||
|
|
def set_theta_direction(self, direction):
|
||
|
|
"""
|
||
|
|
Set the direction in which theta increases.
|
||
|
|
|
||
|
|
clockwise, -1:
|
||
|
|
Theta increases in the clockwise direction
|
||
|
|
|
||
|
|
counterclockwise, anticlockwise, 1:
|
||
|
|
Theta increases in the counterclockwise direction
|
||
|
|
"""
|
||
|
|
mtx = self._direction.get_matrix()
|
||
|
|
if direction in ('clockwise', -1):
|
||
|
|
mtx[0, 0] = -1
|
||
|
|
elif direction in ('counterclockwise', 'anticlockwise', 1):
|
||
|
|
mtx[0, 0] = 1
|
||
|
|
else:
|
||
|
|
cbook._check_in_list(
|
||
|
|
[-1, 1, 'clockwise', 'counterclockwise', 'anticlockwise'],
|
||
|
|
direction=direction)
|
||
|
|
self._direction.invalidate()
|
||
|
|
|
||
|
|
def get_theta_direction(self):
|
||
|
|
"""
|
||
|
|
Get the direction in which theta increases.
|
||
|
|
|
||
|
|
-1:
|
||
|
|
Theta increases in the clockwise direction
|
||
|
|
|
||
|
|
1:
|
||
|
|
Theta increases in the counterclockwise direction
|
||
|
|
"""
|
||
|
|
return self._direction.get_matrix()[0, 0]
|
||
|
|
|
||
|
|
def set_rmax(self, rmax):
|
||
|
|
"""
|
||
|
|
Set the outer radial limit.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
rmax : float
|
||
|
|
"""
|
||
|
|
self.viewLim.y1 = rmax
|
||
|
|
|
||
|
|
def get_rmax(self):
|
||
|
|
"""
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
float
|
||
|
|
Outer radial limit.
|
||
|
|
"""
|
||
|
|
return self.viewLim.ymax
|
||
|
|
|
||
|
|
def set_rmin(self, rmin):
|
||
|
|
"""
|
||
|
|
Set the inner radial limit.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
rmin : float
|
||
|
|
"""
|
||
|
|
self.viewLim.y0 = rmin
|
||
|
|
|
||
|
|
def get_rmin(self):
|
||
|
|
"""
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
float
|
||
|
|
The inner radial limit.
|
||
|
|
"""
|
||
|
|
return self.viewLim.ymin
|
||
|
|
|
||
|
|
def set_rorigin(self, rorigin):
|
||
|
|
"""
|
||
|
|
Update the radial origin.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
rorigin : float
|
||
|
|
"""
|
||
|
|
self._originViewLim.locked_y0 = rorigin
|
||
|
|
|
||
|
|
def get_rorigin(self):
|
||
|
|
"""
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
float
|
||
|
|
"""
|
||
|
|
return self._originViewLim.y0
|
||
|
|
|
||
|
|
def get_rsign(self):
|
||
|
|
return np.sign(self._originViewLim.y1 - self._originViewLim.y0)
|
||
|
|
|
||
|
|
def set_rlim(self, bottom=None, top=None, emit=True, auto=False, **kwargs):
|
||
|
|
"""
|
||
|
|
See `~.polar.PolarAxes.set_ylim`.
|
||
|
|
"""
|
||
|
|
if 'rmin' in kwargs:
|
||
|
|
if bottom is None:
|
||
|
|
bottom = kwargs.pop('rmin')
|
||
|
|
else:
|
||
|
|
raise ValueError('Cannot supply both positional "bottom"'
|
||
|
|
'argument and kwarg "rmin"')
|
||
|
|
if 'rmax' in kwargs:
|
||
|
|
if top is None:
|
||
|
|
top = kwargs.pop('rmax')
|
||
|
|
else:
|
||
|
|
raise ValueError('Cannot supply both positional "top"'
|
||
|
|
'argument and kwarg "rmax"')
|
||
|
|
return self.set_ylim(bottom=bottom, top=top, emit=emit, auto=auto,
|
||
|
|
**kwargs)
|
||
|
|
|
||
|
|
def set_ylim(self, bottom=None, top=None, emit=True, auto=False,
|
||
|
|
*, ymin=None, ymax=None):
|
||
|
|
"""
|
||
|
|
Set the data limits for the radial axis.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
bottom : scalar, optional
|
||
|
|
The bottom limit (default: None, which leaves the bottom
|
||
|
|
limit unchanged).
|
||
|
|
The bottom and top ylims may be passed as the tuple
|
||
|
|
(*bottom*, *top*) as the first positional argument (or as
|
||
|
|
the *bottom* keyword argument).
|
||
|
|
|
||
|
|
top : scalar, optional
|
||
|
|
The top limit (default: None, which leaves the top limit
|
||
|
|
unchanged).
|
||
|
|
|
||
|
|
emit : bool, optional
|
||
|
|
Whether to notify observers of limit change (default: True).
|
||
|
|
|
||
|
|
auto : bool or None, optional
|
||
|
|
Whether to turn on autoscaling of the y-axis. True turns on,
|
||
|
|
False turns off (default action), None leaves unchanged.
|
||
|
|
|
||
|
|
ymin, ymax : scalar, optional
|
||
|
|
These arguments are deprecated and will be removed in a future
|
||
|
|
version. They are equivalent to *bottom* and *top* respectively,
|
||
|
|
and it is an error to pass both *ymin* and *bottom* or
|
||
|
|
*ymax* and *top*.
|
||
|
|
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
bottom, top : (float, float)
|
||
|
|
The new y-axis limits in data coordinates.
|
||
|
|
"""
|
||
|
|
if ymin is not None:
|
||
|
|
if bottom is not None:
|
||
|
|
raise ValueError('Cannot supply both positional "bottom" '
|
||
|
|
'argument and kwarg "ymin"')
|
||
|
|
else:
|
||
|
|
bottom = ymin
|
||
|
|
if ymax is not None:
|
||
|
|
if top is not None:
|
||
|
|
raise ValueError('Cannot supply both positional "top" '
|
||
|
|
'argument and kwarg "ymax"')
|
||
|
|
else:
|
||
|
|
top = ymax
|
||
|
|
if top is None and np.iterable(bottom):
|
||
|
|
bottom, top = bottom[0], bottom[1]
|
||
|
|
return super().set_ylim(bottom=bottom, top=top, emit=emit, auto=auto)
|
||
|
|
|
||
|
|
def get_rlabel_position(self):
|
||
|
|
"""
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
float
|
||
|
|
The theta position of the radius labels in degrees.
|
||
|
|
"""
|
||
|
|
return np.rad2deg(self._r_label_position.get_matrix()[0, 2])
|
||
|
|
|
||
|
|
def set_rlabel_position(self, value):
|
||
|
|
"""Updates the theta position of the radius labels.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
value : number
|
||
|
|
The angular position of the radius labels in degrees.
|
||
|
|
"""
|
||
|
|
self._r_label_position.clear().translate(np.deg2rad(value), 0.0)
|
||
|
|
|
||
|
|
def set_yscale(self, *args, **kwargs):
|
||
|
|
Axes.set_yscale(self, *args, **kwargs)
|
||
|
|
self.yaxis.set_major_locator(
|
||
|
|
self.RadialLocator(self.yaxis.get_major_locator(), self))
|
||
|
|
|
||
|
|
def set_rscale(self, *args, **kwargs):
|
||
|
|
return Axes.set_yscale(self, *args, **kwargs)
|
||
|
|
|
||
|
|
def set_rticks(self, *args, **kwargs):
|
||
|
|
return Axes.set_yticks(self, *args, **kwargs)
|
||
|
|
|
||
|
|
def set_thetagrids(self, angles, labels=None, fmt=None, **kwargs):
|
||
|
|
"""
|
||
|
|
Set the theta gridlines in a polar plot.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
angles : tuple with floats, degrees
|
||
|
|
The angles of the theta gridlines.
|
||
|
|
|
||
|
|
labels : tuple with strings or None
|
||
|
|
The labels to use at each theta gridline. The
|
||
|
|
`.projections.polar.ThetaFormatter` will be used if None.
|
||
|
|
|
||
|
|
fmt : str or None
|
||
|
|
Format string used in `matplotlib.ticker.FormatStrFormatter`.
|
||
|
|
For example '%f'. Note that the angle that is used is in
|
||
|
|
radians.
|
||
|
|
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
lines, labels : list of `.lines.Line2D`, list of `.text.Text`
|
||
|
|
*lines* are the theta gridlines and *labels* are the tick labels.
|
||
|
|
|
||
|
|
Other Parameters
|
||
|
|
----------------
|
||
|
|
**kwargs
|
||
|
|
*kwargs* are optional `~.Text` properties for the labels.
|
||
|
|
|
||
|
|
See Also
|
||
|
|
--------
|
||
|
|
.PolarAxes.set_rgrids
|
||
|
|
.Axis.get_gridlines
|
||
|
|
.Axis.get_ticklabels
|
||
|
|
"""
|
||
|
|
|
||
|
|
# Make sure we take into account unitized data
|
||
|
|
angles = self.convert_yunits(angles)
|
||
|
|
angles = np.deg2rad(angles)
|
||
|
|
self.set_xticks(angles)
|
||
|
|
if labels is not None:
|
||
|
|
self.set_xticklabels(labels)
|
||
|
|
elif fmt is not None:
|
||
|
|
self.xaxis.set_major_formatter(mticker.FormatStrFormatter(fmt))
|
||
|
|
for t in self.xaxis.get_ticklabels():
|
||
|
|
t.update(kwargs)
|
||
|
|
return self.xaxis.get_ticklines(), self.xaxis.get_ticklabels()
|
||
|
|
|
||
|
|
def set_rgrids(self, radii, labels=None, angle=None, fmt=None,
|
||
|
|
**kwargs):
|
||
|
|
"""
|
||
|
|
Set the radial gridlines on a polar plot.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
radii : tuple with floats
|
||
|
|
The radii for the radial gridlines
|
||
|
|
|
||
|
|
labels : tuple with strings or None
|
||
|
|
The labels to use at each radial gridline. The
|
||
|
|
`matplotlib.ticker.ScalarFormatter` will be used if None.
|
||
|
|
|
||
|
|
angle : float
|
||
|
|
The angular position of the radius labels in degrees.
|
||
|
|
|
||
|
|
fmt : str or None
|
||
|
|
Format string used in `matplotlib.ticker.FormatStrFormatter`.
|
||
|
|
For example '%f'.
|
||
|
|
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
lines, labels : list of `.lines.Line2D`, list of `.text.Text`
|
||
|
|
*lines* are the radial gridlines and *labels* are the tick labels.
|
||
|
|
|
||
|
|
Other Parameters
|
||
|
|
----------------
|
||
|
|
**kwargs
|
||
|
|
*kwargs* are optional `~.Text` properties for the labels.
|
||
|
|
|
||
|
|
See Also
|
||
|
|
--------
|
||
|
|
.PolarAxes.set_thetagrids
|
||
|
|
.Axis.get_gridlines
|
||
|
|
.Axis.get_ticklabels
|
||
|
|
"""
|
||
|
|
# Make sure we take into account unitized data
|
||
|
|
radii = self.convert_xunits(radii)
|
||
|
|
radii = np.asarray(radii)
|
||
|
|
|
||
|
|
self.set_yticks(radii)
|
||
|
|
if labels is not None:
|
||
|
|
self.set_yticklabels(labels)
|
||
|
|
elif fmt is not None:
|
||
|
|
self.yaxis.set_major_formatter(mticker.FormatStrFormatter(fmt))
|
||
|
|
if angle is None:
|
||
|
|
angle = self.get_rlabel_position()
|
||
|
|
self.set_rlabel_position(angle)
|
||
|
|
for t in self.yaxis.get_ticklabels():
|
||
|
|
t.update(kwargs)
|
||
|
|
return self.yaxis.get_gridlines(), self.yaxis.get_ticklabels()
|
||
|
|
|
||
|
|
def set_xscale(self, scale, *args, **kwargs):
|
||
|
|
if scale != 'linear':
|
||
|
|
raise NotImplementedError(
|
||
|
|
"You can not set the xscale on a polar plot.")
|
||
|
|
|
||
|
|
def format_coord(self, theta, r):
|
||
|
|
"""
|
||
|
|
Return a format string formatting the coordinate using Unicode
|
||
|
|
characters.
|
||
|
|
"""
|
||
|
|
if theta < 0:
|
||
|
|
theta += 2 * np.pi
|
||
|
|
theta /= np.pi
|
||
|
|
return ('\N{GREEK SMALL LETTER THETA}=%0.3f\N{GREEK SMALL LETTER PI} '
|
||
|
|
'(%0.3f\N{DEGREE SIGN}), r=%0.3f') % (theta, theta * 180.0, r)
|
||
|
|
|
||
|
|
def get_data_ratio(self):
|
||
|
|
'''
|
||
|
|
Return the aspect ratio of the data itself. For a polar plot,
|
||
|
|
this should always be 1.0
|
||
|
|
'''
|
||
|
|
return 1.0
|
||
|
|
|
||
|
|
# # # Interactive panning
|
||
|
|
|
||
|
|
def can_zoom(self):
|
||
|
|
"""
|
||
|
|
Return *True* if this axes supports the zoom box button functionality.
|
||
|
|
|
||
|
|
Polar axes do not support zoom boxes.
|
||
|
|
"""
|
||
|
|
return False
|
||
|
|
|
||
|
|
def can_pan(self):
|
||
|
|
"""
|
||
|
|
Return *True* if this axes supports the pan/zoom button functionality.
|
||
|
|
|
||
|
|
For polar axes, this is slightly misleading. Both panning and
|
||
|
|
zooming are performed by the same button. Panning is performed
|
||
|
|
in azimuth while zooming is done along the radial.
|
||
|
|
"""
|
||
|
|
return True
|
||
|
|
|
||
|
|
def start_pan(self, x, y, button):
|
||
|
|
angle = np.deg2rad(self.get_rlabel_position())
|
||
|
|
mode = ''
|
||
|
|
if button == 1:
|
||
|
|
epsilon = np.pi / 45.0
|
||
|
|
t, r = self.transData.inverted().transform_point((x, y))
|
||
|
|
if angle - epsilon <= t <= angle + epsilon:
|
||
|
|
mode = 'drag_r_labels'
|
||
|
|
elif button == 3:
|
||
|
|
mode = 'zoom'
|
||
|
|
|
||
|
|
self._pan_start = types.SimpleNamespace(
|
||
|
|
rmax=self.get_rmax(),
|
||
|
|
trans=self.transData.frozen(),
|
||
|
|
trans_inverse=self.transData.inverted().frozen(),
|
||
|
|
r_label_angle=self.get_rlabel_position(),
|
||
|
|
x=x,
|
||
|
|
y=y,
|
||
|
|
mode=mode)
|
||
|
|
|
||
|
|
def end_pan(self):
|
||
|
|
del self._pan_start
|
||
|
|
|
||
|
|
def drag_pan(self, button, key, x, y):
|
||
|
|
p = self._pan_start
|
||
|
|
|
||
|
|
if p.mode == 'drag_r_labels':
|
||
|
|
startt, startr = p.trans_inverse.transform_point((p.x, p.y))
|
||
|
|
t, r = p.trans_inverse.transform_point((x, y))
|
||
|
|
|
||
|
|
# Deal with theta
|
||
|
|
dt0 = t - startt
|
||
|
|
dt1 = startt - t
|
||
|
|
if abs(dt1) < abs(dt0):
|
||
|
|
dt = abs(dt1) * np.sign(dt0) * -1.0
|
||
|
|
else:
|
||
|
|
dt = dt0 * -1.0
|
||
|
|
dt = (dt / np.pi) * 180.0
|
||
|
|
self.set_rlabel_position(p.r_label_angle - dt)
|
||
|
|
|
||
|
|
trans, vert1, horiz1 = self.get_yaxis_text1_transform(0.0)
|
||
|
|
trans, vert2, horiz2 = self.get_yaxis_text2_transform(0.0)
|
||
|
|
for t in self.yaxis.majorTicks + self.yaxis.minorTicks:
|
||
|
|
t.label1.set_va(vert1)
|
||
|
|
t.label1.set_ha(horiz1)
|
||
|
|
t.label2.set_va(vert2)
|
||
|
|
t.label2.set_ha(horiz2)
|
||
|
|
|
||
|
|
elif p.mode == 'zoom':
|
||
|
|
startt, startr = p.trans_inverse.transform_point((p.x, p.y))
|
||
|
|
t, r = p.trans_inverse.transform_point((x, y))
|
||
|
|
|
||
|
|
# Deal with r
|
||
|
|
scale = r / startr
|
||
|
|
self.set_rmax(p.rmax / scale)
|
||
|
|
|
||
|
|
|
||
|
|
# to keep things all self contained, we can put aliases to the Polar classes
|
||
|
|
# defined above. This isn't strictly necessary, but it makes some of the
|
||
|
|
# code more readable (and provides a backwards compatible Polar API)
|
||
|
|
PolarAxes.PolarTransform = PolarTransform
|
||
|
|
PolarAxes.PolarAffine = PolarAffine
|
||
|
|
PolarAxes.InvertedPolarTransform = InvertedPolarTransform
|
||
|
|
PolarAxes.ThetaFormatter = ThetaFormatter
|
||
|
|
PolarAxes.RadialLocator = RadialLocator
|
||
|
|
PolarAxes.ThetaLocator = ThetaLocator
|