1547 lines
55 KiB
Python
1547 lines
55 KiB
Python
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import math
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import types
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import numpy as np
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import matplotlib as mpl
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from matplotlib import _api, cbook
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from matplotlib.axes import Axes
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import matplotlib.axis as maxis
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import matplotlib.markers as mmarkers
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import matplotlib.patches as mpatches
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from matplotlib.path import Path
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import matplotlib.ticker as mticker
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import matplotlib.transforms as mtransforms
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from matplotlib.spines import Spine
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def _apply_theta_transforms_warn():
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_api.warn_deprecated(
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"3.9",
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message=(
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"Passing `apply_theta_transforms=True` (the default) "
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"is deprecated since Matplotlib %(since)s. "
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"Support for this will be removed in Matplotlib %(removal)s. "
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"To prevent this warning, set `apply_theta_transforms=False`, "
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"and make sure to shift theta values before being passed to "
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"this transform."
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)
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)
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class PolarTransform(mtransforms.Transform):
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r"""
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The base polar transform.
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This transform maps polar coordinates :math:`\theta, r` into Cartesian
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coordinates :math:`x, y = r \cos(\theta), r \sin(\theta)`
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(but does not fully transform into Axes coordinates or
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handle positioning in screen space).
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This transformation is designed to be applied to data after any scaling
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along the radial axis (e.g. log-scaling) has been applied to the input
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data.
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Path segments at a fixed radius are automatically transformed to circular
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arcs as long as ``path._interpolation_steps > 1``.
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"""
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input_dims = output_dims = 2
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def __init__(self, axis=None, use_rmin=True, *,
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apply_theta_transforms=True, scale_transform=None):
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"""
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Parameters
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----------
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axis : `~matplotlib.axis.Axis`, optional
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Axis associated with this transform. This is used to get the
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minimum radial limit.
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use_rmin : `bool`, optional
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If ``True``, subtract the minimum radial axis limit before
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transforming to Cartesian coordinates. *axis* must also be
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specified for this to take effect.
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"""
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super().__init__()
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self._axis = axis
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self._use_rmin = use_rmin
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self._apply_theta_transforms = apply_theta_transforms
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self._scale_transform = scale_transform
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if apply_theta_transforms:
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_apply_theta_transforms_warn()
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__str__ = mtransforms._make_str_method(
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"_axis",
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use_rmin="_use_rmin",
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apply_theta_transforms="_apply_theta_transforms")
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def _get_rorigin(self):
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# Get lower r limit after being scaled by the radial scale transform
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return self._scale_transform.transform(
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(0, self._axis.get_rorigin()))[1]
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@_api.rename_parameter("3.8", "tr", "values")
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def transform_non_affine(self, values):
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# docstring inherited
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theta, r = np.transpose(values)
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# PolarAxes does not use the theta transforms here, but apply them for
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# backwards-compatibility if not being used by it.
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if self._apply_theta_transforms and self._axis is not None:
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theta *= self._axis.get_theta_direction()
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theta += self._axis.get_theta_offset()
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if self._use_rmin and self._axis is not None:
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r = (r - self._get_rorigin()) * self._axis.get_rsign()
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r = np.where(r >= 0, r, np.nan)
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return np.column_stack([r * np.cos(theta), r * np.sin(theta)])
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def transform_path_non_affine(self, path):
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# docstring inherited
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if not len(path) or path._interpolation_steps == 1:
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return Path(self.transform_non_affine(path.vertices), path.codes)
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xys = []
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codes = []
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last_t = last_r = None
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for trs, c in path.iter_segments():
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trs = trs.reshape((-1, 2))
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if c == Path.LINETO:
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(t, r), = trs
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if t == last_t: # Same angle: draw a straight line.
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xys.extend(self.transform_non_affine(trs))
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codes.append(Path.LINETO)
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elif r == last_r: # Same radius: draw an arc.
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# The following is complicated by Path.arc() being
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# "helpful" and unwrapping the angles, but we don't want
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# that behavior here.
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last_td, td = np.rad2deg([last_t, t])
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if self._use_rmin and self._axis is not None:
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r = ((r - self._get_rorigin())
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* self._axis.get_rsign())
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if last_td <= td:
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while td - last_td > 360:
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arc = Path.arc(last_td, last_td + 360)
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xys.extend(arc.vertices[1:] * r)
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codes.extend(arc.codes[1:])
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last_td += 360
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arc = Path.arc(last_td, td)
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xys.extend(arc.vertices[1:] * r)
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codes.extend(arc.codes[1:])
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else:
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# The reverse version also relies on the fact that all
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# codes but the first one are the same.
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while last_td - td > 360:
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arc = Path.arc(last_td - 360, last_td)
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xys.extend(arc.vertices[::-1][1:] * r)
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codes.extend(arc.codes[1:])
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last_td -= 360
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arc = Path.arc(td, last_td)
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xys.extend(arc.vertices[::-1][1:] * r)
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codes.extend(arc.codes[1:])
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else: # Interpolate.
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trs = cbook.simple_linear_interpolation(
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np.vstack([(last_t, last_r), trs]),
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path._interpolation_steps)[1:]
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xys.extend(self.transform_non_affine(trs))
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codes.extend([Path.LINETO] * len(trs))
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else: # Not a straight line.
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xys.extend(self.transform_non_affine(trs))
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codes.extend([c] * len(trs))
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last_t, last_r = trs[-1]
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return Path(xys, codes)
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def inverted(self):
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# docstring inherited
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return PolarAxes.InvertedPolarTransform(
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self._axis, self._use_rmin,
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apply_theta_transforms=self._apply_theta_transforms
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)
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class PolarAffine(mtransforms.Affine2DBase):
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r"""
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The affine part of the polar projection.
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Scales the output so that maximum radius rests on the edge of the Axes
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circle and the origin is mapped to (0.5, 0.5). The transform applied is
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the same to x and y components and given by:
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.. math::
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x_{1} = 0.5 \left [ \frac{x_{0}}{(r_{\max} - r_{\min})} + 1 \right ]
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:math:`r_{\min}, r_{\max}` are the minimum and maximum radial limits after
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any scaling (e.g. log scaling) has been removed.
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"""
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def __init__(self, scale_transform, limits):
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"""
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Parameters
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----------
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scale_transform : `~matplotlib.transforms.Transform`
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Scaling transform for the data. This is used to remove any scaling
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from the radial view limits.
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limits : `~matplotlib.transforms.BboxBase`
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View limits of the data. The only part of its bounds that is used
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is the y limits (for the radius limits).
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"""
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super().__init__()
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self._scale_transform = scale_transform
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self._limits = limits
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self.set_children(scale_transform, limits)
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self._mtx = None
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__str__ = mtransforms._make_str_method("_scale_transform", "_limits")
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def get_matrix(self):
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# docstring inherited
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if self._invalid:
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limits_scaled = self._limits.transformed(self._scale_transform)
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yscale = limits_scaled.ymax - limits_scaled.ymin
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affine = mtransforms.Affine2D() \
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.scale(0.5 / yscale) \
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.translate(0.5, 0.5)
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self._mtx = affine.get_matrix()
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self._inverted = None
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self._invalid = 0
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return self._mtx
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class InvertedPolarTransform(mtransforms.Transform):
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"""
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The inverse of the polar transform, mapping Cartesian
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coordinate space *x* and *y* back to *theta* and *r*.
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"""
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input_dims = output_dims = 2
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def __init__(self, axis=None, use_rmin=True,
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*, apply_theta_transforms=True):
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"""
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Parameters
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----------
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axis : `~matplotlib.axis.Axis`, optional
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Axis associated with this transform. This is used to get the
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minimum radial limit.
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use_rmin : `bool`, optional
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If ``True``, add the minimum radial axis limit after
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transforming from Cartesian coordinates. *axis* must also be
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specified for this to take effect.
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"""
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super().__init__()
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self._axis = axis
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self._use_rmin = use_rmin
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self._apply_theta_transforms = apply_theta_transforms
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if apply_theta_transforms:
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_apply_theta_transforms_warn()
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__str__ = mtransforms._make_str_method(
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"_axis",
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use_rmin="_use_rmin",
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apply_theta_transforms="_apply_theta_transforms")
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@_api.rename_parameter("3.8", "xy", "values")
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def transform_non_affine(self, values):
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# docstring inherited
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x, y = values.T
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r = np.hypot(x, y)
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theta = (np.arctan2(y, x) + 2 * np.pi) % (2 * np.pi)
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# PolarAxes does not use the theta transforms here, but apply them for
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# backwards-compatibility if not being used by it.
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if self._apply_theta_transforms and self._axis is not None:
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theta -= self._axis.get_theta_offset()
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theta *= self._axis.get_theta_direction()
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theta %= 2 * np.pi
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if self._use_rmin and self._axis is not None:
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r += self._axis.get_rorigin()
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r *= self._axis.get_rsign()
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return np.column_stack([theta, r])
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def inverted(self):
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# docstring inherited
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return PolarAxes.PolarTransform(
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self._axis, self._use_rmin,
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apply_theta_transforms=self._apply_theta_transforms
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)
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class ThetaFormatter(mticker.Formatter):
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"""
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Used to format the *theta* tick labels. Converts the native
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unit of radians into degrees and adds a degree symbol.
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"""
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def __call__(self, x, pos=None):
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vmin, vmax = self.axis.get_view_interval()
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d = np.rad2deg(abs(vmax - vmin))
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digits = max(-int(np.log10(d) - 1.5), 0)
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return f"{np.rad2deg(x):0.{digits}f}\N{DEGREE SIGN}"
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class _AxisWrapper:
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def __init__(self, axis):
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self._axis = axis
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def get_view_interval(self):
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return np.rad2deg(self._axis.get_view_interval())
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def set_view_interval(self, vmin, vmax):
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self._axis.set_view_interval(*np.deg2rad((vmin, vmax)))
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def get_minpos(self):
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return np.rad2deg(self._axis.get_minpos())
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def get_data_interval(self):
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return np.rad2deg(self._axis.get_data_interval())
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def set_data_interval(self, vmin, vmax):
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self._axis.set_data_interval(*np.deg2rad((vmin, vmax)))
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def get_tick_space(self):
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return self._axis.get_tick_space()
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class ThetaLocator(mticker.Locator):
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"""
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Used to locate theta ticks.
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This will work the same as the base locator except in the case that the
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view spans the entire circle. In such cases, the previously used default
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locations of every 45 degrees are returned.
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"""
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def __init__(self, base):
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self.base = base
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self.axis = self.base.axis = _AxisWrapper(self.base.axis)
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def set_axis(self, axis):
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self.axis = _AxisWrapper(axis)
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self.base.set_axis(self.axis)
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def __call__(self):
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lim = self.axis.get_view_interval()
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if _is_full_circle_deg(lim[0], lim[1]):
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return np.deg2rad(min(lim)) + np.arange(8) * 2 * np.pi / 8
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else:
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return np.deg2rad(self.base())
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def view_limits(self, vmin, vmax):
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vmin, vmax = np.rad2deg((vmin, vmax))
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return np.deg2rad(self.base.view_limits(vmin, vmax))
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class ThetaTick(maxis.XTick):
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"""
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A theta-axis tick.
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This subclass of `.XTick` provides angular ticks with some small
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modification to their re-positioning such that ticks are rotated based on
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tick location. This results in ticks that are correctly perpendicular to
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the arc spine.
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When 'auto' rotation is enabled, labels are also rotated to be parallel to
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the spine. The label padding is also applied here since it's not possible
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to use a generic axes transform to produce tick-specific padding.
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"""
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def __init__(self, axes, *args, **kwargs):
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self._text1_translate = mtransforms.ScaledTranslation(
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0, 0, axes.figure.dpi_scale_trans)
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self._text2_translate = mtransforms.ScaledTranslation(
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0, 0, axes.figure.dpi_scale_trans)
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super().__init__(axes, *args, **kwargs)
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self.label1.set(
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rotation_mode='anchor',
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transform=self.label1.get_transform() + self._text1_translate)
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self.label2.set(
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rotation_mode='anchor',
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transform=self.label2.get_transform() + self._text2_translate)
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def _apply_params(self, **kwargs):
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super()._apply_params(**kwargs)
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# Ensure transform is correct; sometimes this gets reset.
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|
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' #: Read-only name identifying the axis.
|
||
|
|
_tick_class = ThetaTick
|
||
|
|
|
||
|
|
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 clear(self):
|
||
|
|
# docstring inherited
|
||
|
|
super().clear()
|
||
|
|
self.set_ticks_position('none')
|
||
|
|
self._wrap_locator_formatter()
|
||
|
|
|
||
|
|
def _set_scale(self, value, **kwargs):
|
||
|
|
if value != 'linear':
|
||
|
|
raise NotImplementedError(
|
||
|
|
"The xscale cannot be set on a polar plot")
|
||
|
|
super()._set_scale(value, **kwargs)
|
||
|
|
# LinearScale.set_default_locators_and_formatters just set the major
|
||
|
|
# locator to be an AutoLocator, so we customize it here to have ticks
|
||
|
|
# at sensible degree multiples.
|
||
|
|
self.get_major_locator().set_params(steps=[1, 1.5, 3, 4.5, 9, 10])
|
||
|
|
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 `.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 set_axis(self, axis):
|
||
|
|
self.base.set_axis(axis)
|
||
|
|
|
||
|
|
def __call__(self):
|
||
|
|
# 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:
|
||
|
|
return [tick for tick in self.base() if tick > rorigin]
|
||
|
|
return self.base()
|
||
|
|
|
||
|
|
def _zero_in_bounds(self):
|
||
|
|
"""
|
||
|
|
Return True if zero is within the valid values for the
|
||
|
|
scale of the radial axis.
|
||
|
|
"""
|
||
|
|
vmin, vmax = self._axes.yaxis._scale.limit_range_for_scale(0, 1, 1e-5)
|
||
|
|
return vmin == 0
|
||
|
|
|
||
|
|
def nonsingular(self, vmin, vmax):
|
||
|
|
# docstring inherited
|
||
|
|
if self._zero_in_bounds() and (vmin, vmax) == (-np.inf, np.inf):
|
||
|
|
# Initial view limits
|
||
|
|
return (0, 1)
|
||
|
|
else:
|
||
|
|
return self.base.nonsingular(vmin, vmax)
|
||
|
|
|
||
|
|
def view_limits(self, vmin, vmax):
|
||
|
|
vmin, vmax = self.base.view_limits(vmin, vmax)
|
||
|
|
if self._zero_in_bounds() and 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):
|
||
|
|
super().__init__(pad, pad, axes.figure.dpi_scale_trans)
|
||
|
|
self.set_children(axes._realViewLim)
|
||
|
|
self.axes = axes
|
||
|
|
self.mode = mode
|
||
|
|
self.pad = pad
|
||
|
|
|
||
|
|
__str__ = mtransforms._make_str_method("axes", "pad", "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()
|
||
|
|
- np.pi / 2
|
||
|
|
)
|
||
|
|
elif self.mode == 'min':
|
||
|
|
angle = self.axes._realViewLim.xmin - np.pi / 2
|
||
|
|
elif self.mode == 'max':
|
||
|
|
angle = self.axes._realViewLim.xmax + np.pi / 2
|
||
|
|
self._t = (self.pad * np.cos(angle) / 72, self.pad * np.sin(angle) / 72)
|
||
|
|
return super().get_matrix()
|
||
|
|
|
||
|
|
|
||
|
|
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 __init__(self, *args, **kwargs):
|
||
|
|
super().__init__(*args, **kwargs)
|
||
|
|
self.label1.set_rotation_mode('anchor')
|
||
|
|
self.label2.set_rotation_mode('anchor')
|
||
|
|
|
||
|
|
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' #: Read-only name identifying the axis.
|
||
|
|
_tick_class = RadialTick
|
||
|
|
|
||
|
|
def __init__(self, *args, **kwargs):
|
||
|
|
super().__init__(*args, **kwargs)
|
||
|
|
self.sticky_edges.y.append(0)
|
||
|
|
|
||
|
|
def _wrap_locator_formatter(self):
|
||
|
|
self.set_major_locator(RadialLocator(self.get_major_locator(),
|
||
|
|
self.axes))
|
||
|
|
self.isDefault_majloc = True
|
||
|
|
|
||
|
|
def clear(self):
|
||
|
|
# docstring inherited
|
||
|
|
super().clear()
|
||
|
|
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):
|
||
|
|
super().__init__([[0, 0], [1, 1]], **kwargs)
|
||
|
|
self._center = center
|
||
|
|
self._viewLim = viewLim
|
||
|
|
self._originLim = originLim
|
||
|
|
self.set_children(viewLim, originLim)
|
||
|
|
|
||
|
|
__str__ = mtransforms._make_str_method("_center", "_viewLim", "_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.clear()
|
||
|
|
|
||
|
|
def clear(self):
|
||
|
|
# docstring inherited
|
||
|
|
super().clear()
|
||
|
|
|
||
|
|
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(mpl.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):
|
||
|
|
# This is moved out of __init__ because non-separable axes don't use it
|
||
|
|
self.xaxis = ThetaAxis(self, clear=False)
|
||
|
|
self.yaxis = RadialAxis(self, clear=False)
|
||
|
|
self.spines['polar'].register_axis(self.yaxis)
|
||
|
|
|
||
|
|
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 = 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,
|
||
|
|
scale_transform=self.transScale
|
||
|
|
)
|
||
|
|
# 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
|
||
|
|
#
|
||
|
|
# 1. Remove any radial axis scaling (e.g. log scaling)
|
||
|
|
# 2. Shift data in the theta direction
|
||
|
|
# 3. Project the data from polar to cartesian values
|
||
|
|
# (with the origin in the same place)
|
||
|
|
# 4. Scale and translate the cartesian values to Axes coordinates
|
||
|
|
# (here the origin is moved to the lower left of the Axes)
|
||
|
|
# 5. Move and scale to fill the Axes
|
||
|
|
# 6. Convert from Axes coordinates to Figure 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'):
|
||
|
|
_api.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:
|
||
|
|
_api.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, renderer):
|
||
|
|
self._unstale_viewLim()
|
||
|
|
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((0.5, 0.5))
|
||
|
|
self.patch.set_center(center)
|
||
|
|
self.patch.set_theta1(thetamin)
|
||
|
|
self.patch.set_theta2(thetamax)
|
||
|
|
|
||
|
|
edge, _ = self.transWedge.transform((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)
|
||
|
|
|
||
|
|
super().draw(renderer)
|
||
|
|
|
||
|
|
def _gen_axes_patch(self):
|
||
|
|
return mpatches.Wedge((0.5, 0.5), 0.5, 0.0, 360.0)
|
||
|
|
|
||
|
|
def _gen_axes_spines(self):
|
||
|
|
spines = {
|
||
|
|
'polar': Spine.arc_spine(self, 'top', (0.5, 0.5), 0.5, 0, 360),
|
||
|
|
'start': Spine.linear_spine(self, 'left'),
|
||
|
|
'end': Spine.linear_spine(self, 'right'),
|
||
|
|
'inner': Spine.arc_spine(self, 'bottom', (0.5, 0.5), 0.0, 0, 360),
|
||
|
|
}
|
||
|
|
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):
|
||
|
|
"""Set the maximum theta limit in degrees."""
|
||
|
|
self.viewLim.x1 = np.deg2rad(thetamax)
|
||
|
|
|
||
|
|
def get_thetamax(self):
|
||
|
|
"""Return the maximum theta limit in degrees."""
|
||
|
|
return np.rad2deg(self.viewLim.xmax)
|
||
|
|
|
||
|
|
def set_thetamin(self, thetamin):
|
||
|
|
"""Set the minimum theta limit in degrees."""
|
||
|
|
self.viewLim.x0 = np.deg2rad(thetamin)
|
||
|
|
|
||
|
|
def get_thetamin(self):
|
||
|
|
"""Get the minimum theta limit in degrees."""
|
||
|
|
return np.rad2deg(self.viewLim.xmin)
|
||
|
|
|
||
|
|
def set_thetalim(self, *args, **kwargs):
|
||
|
|
r"""
|
||
|
|
Set the minimum and maximum theta values.
|
||
|
|
|
||
|
|
Can take the following signatures:
|
||
|
|
|
||
|
|
- ``set_thetalim(minval, maxval)``: Set the limits in radians.
|
||
|
|
- ``set_thetalim(thetamin=minval, thetamax=maxval)``: Set the limits
|
||
|
|
in degrees.
|
||
|
|
|
||
|
|
where minval and maxval are the minimum and maximum limits. Values are
|
||
|
|
wrapped in to the range :math:`[0, 2\pi]` (in radians), so for example
|
||
|
|
it is possible to do ``set_thetalim(-np.pi / 2, np.pi / 2)`` to have
|
||
|
|
an axis symmetric around 0. A ValueError is raised if the absolute
|
||
|
|
angle difference is larger than a full circle.
|
||
|
|
"""
|
||
|
|
orig_lim = self.get_xlim() # in radians
|
||
|
|
if 'thetamin' in kwargs:
|
||
|
|
kwargs['xmin'] = np.deg2rad(kwargs.pop('thetamin'))
|
||
|
|
if 'thetamax' in kwargs:
|
||
|
|
kwargs['xmax'] = np.deg2rad(kwargs.pop('thetamax'))
|
||
|
|
new_min, new_max = self.set_xlim(*args, **kwargs)
|
||
|
|
# Parsing all permutations of *args, **kwargs is tricky; it is simpler
|
||
|
|
# to let set_xlim() do it and then validate the limits.
|
||
|
|
if abs(new_max - new_min) > 2 * np.pi:
|
||
|
|
self.set_xlim(orig_lim) # un-accept the change
|
||
|
|
raise ValueError("The angle range must be less than a full circle")
|
||
|
|
return tuple(np.rad2deg((new_min, new_max)))
|
||
|
|
|
||
|
|
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):
|
||
|
|
"""
|
||
|
|
Set the location of theta's zero.
|
||
|
|
|
||
|
|
This simply calls `set_theta_offset` with the correct value in radians.
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
----------
|
||
|
|
loc : str
|
||
|
|
May be one of "N", "NW", "W", "SW", "S", "SE", "E", or "NE".
|
||
|
|
offset : float, default: 0
|
||
|
|
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:
|
||
|
|
_api.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):
|
||
|
|
"""
|
||
|
|
Set the radial axis view limits.
|
||
|
|
|
||
|
|
This function behaves like `.Axes.set_ylim`, but additionally supports
|
||
|
|
*rmin* and *rmax* as aliases for *bottom* and *top*.
|
||
|
|
|
||
|
|
See Also
|
||
|
|
--------
|
||
|
|
.Axes.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 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):
|
||
|
|
"""
|
||
|
|
Update 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):
|
||
|
|
super().set_yscale(*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 : list of `.lines.Line2D`
|
||
|
|
The theta gridlines.
|
||
|
|
|
||
|
|
labels : list of `.text.Text`
|
||
|
|
The tick labels.
|
||
|
|
|
||
|
|
Other Parameters
|
||
|
|
----------------
|
||
|
|
**kwargs
|
||
|
|
*kwargs* are optional `.Text` properties for the labels.
|
||
|
|
|
||
|
|
.. warning::
|
||
|
|
|
||
|
|
This only sets the properties of the current ticks.
|
||
|
|
Ticks are not guaranteed to be persistent. Various operations
|
||
|
|
can create, delete and modify the Tick instances. There is an
|
||
|
|
imminent risk that these settings can get lost if you work on
|
||
|
|
the figure further (including also panning/zooming on a
|
||
|
|
displayed figure).
|
||
|
|
|
||
|
|
Use `.set_tick_params` instead if possible.
|
||
|
|
|
||
|
|
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._internal_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 : list of `.lines.Line2D`
|
||
|
|
The radial gridlines.
|
||
|
|
|
||
|
|
labels : list of `.text.Text`
|
||
|
|
The tick labels.
|
||
|
|
|
||
|
|
Other Parameters
|
||
|
|
----------------
|
||
|
|
**kwargs
|
||
|
|
*kwargs* are optional `.Text` properties for the labels.
|
||
|
|
|
||
|
|
.. warning::
|
||
|
|
|
||
|
|
This only sets the properties of the current ticks.
|
||
|
|
Ticks are not guaranteed to be persistent. Various operations
|
||
|
|
can create, delete and modify the Tick instances. There is an
|
||
|
|
imminent risk that these settings can get lost if you work on
|
||
|
|
the figure further (including also panning/zooming on a
|
||
|
|
displayed figure).
|
||
|
|
|
||
|
|
Use `.set_tick_params` instead if possible.
|
||
|
|
|
||
|
|
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._internal_update(kwargs)
|
||
|
|
return self.yaxis.get_gridlines(), self.yaxis.get_ticklabels()
|
||
|
|
|
||
|
|
def format_coord(self, theta, r):
|
||
|
|
# docstring inherited
|
||
|
|
screen_xy = self.transData.transform((theta, r))
|
||
|
|
screen_xys = screen_xy + np.stack(
|
||
|
|
np.meshgrid([-1, 0, 1], [-1, 0, 1])).reshape((2, -1)).T
|
||
|
|
ts, rs = self.transData.inverted().transform(screen_xys).T
|
||
|
|
delta_t = abs((ts - theta + np.pi) % (2 * np.pi) - np.pi).max()
|
||
|
|
delta_t_halfturns = delta_t / np.pi
|
||
|
|
delta_t_degrees = delta_t_halfturns * 180
|
||
|
|
delta_r = abs(rs - r).max()
|
||
|
|
if theta < 0:
|
||
|
|
theta += 2 * np.pi
|
||
|
|
theta_halfturns = theta / np.pi
|
||
|
|
theta_degrees = theta_halfturns * 180
|
||
|
|
|
||
|
|
# See ScalarFormatter.format_data_short. For r, use #g-formatting
|
||
|
|
# (as for linear axes), but for theta, use f-formatting as scientific
|
||
|
|
# notation doesn't make sense and the trailing dot is ugly.
|
||
|
|
def format_sig(value, delta, opt, fmt):
|
||
|
|
# For "f", only count digits after decimal point.
|
||
|
|
prec = (max(0, -math.floor(math.log10(delta))) if fmt == "f" else
|
||
|
|
cbook._g_sig_digits(value, delta))
|
||
|
|
return f"{value:-{opt}.{prec}{fmt}}"
|
||
|
|
|
||
|
|
return ('\N{GREEK SMALL LETTER THETA}={}\N{GREEK SMALL LETTER PI} '
|
||
|
|
'({}\N{DEGREE SIGN}), r={}').format(
|
||
|
|
format_sig(theta_halfturns, delta_t_halfturns, "", "f"),
|
||
|
|
format_sig(theta_degrees, delta_t_degrees, "", "f"),
|
||
|
|
format_sig(r, delta_r, "#", "g"),
|
||
|
|
)
|
||
|
|
|
||
|
|
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 whether this Axes supports the zoom box button functionality.
|
||
|
|
|
||
|
|
A polar Axes does not support zoom boxes.
|
||
|
|
"""
|
||
|
|
return False
|
||
|
|
|
||
|
|
def can_pan(self):
|
||
|
|
"""
|
||
|
|
Return whether this Axes supports the pan/zoom button functionality.
|
||
|
|
|
||
|
|
For a 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((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), (t, r) = p.trans_inverse.transform(
|
||
|
|
[(p.x, p.y), (x, y)])
|
||
|
|
|
||
|
|
# Deal with theta
|
||
|
|
dt = np.rad2deg(startt - t)
|
||
|
|
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), (t, r) = p.trans_inverse.transform(
|
||
|
|
[(p.x, p.y), (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. In
|
||
|
|
# particular, this is used by the :doc:`/gallery/specialty_plots/radar_chart`
|
||
|
|
# example to override PolarTransform on a PolarAxes subclass, so make sure that
|
||
|
|
# that example is unaffected before changing this.
|
||
|
|
PolarAxes.PolarTransform = PolarTransform
|
||
|
|
PolarAxes.PolarAffine = PolarAffine
|
||
|
|
PolarAxes.InvertedPolarTransform = InvertedPolarTransform
|
||
|
|
PolarAxes.ThetaFormatter = ThetaFormatter
|
||
|
|
PolarAxes.RadialLocator = RadialLocator
|
||
|
|
PolarAxes.ThetaLocator = ThetaLocator
|