695 lines
24 KiB
Python
695 lines
24 KiB
Python
"""
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Helper classes to adjust the positions of multiple axes at drawing time.
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"""
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import functools
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import numpy as np
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import matplotlib as mpl
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from matplotlib import _api
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from matplotlib.gridspec import SubplotSpec
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import matplotlib.transforms as mtransforms
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from . import axes_size as Size
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class Divider:
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"""
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An Axes positioning class.
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The divider is initialized with lists of horizontal and vertical sizes
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(:mod:`mpl_toolkits.axes_grid1.axes_size`) based on which a given
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rectangular area will be divided.
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The `new_locator` method then creates a callable object
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that can be used as the *axes_locator* of the axes.
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"""
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def __init__(self, fig, pos, horizontal, vertical,
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aspect=None, anchor="C"):
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"""
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Parameters
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----------
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fig : Figure
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pos : tuple of 4 floats
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Position of the rectangle that will be divided.
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horizontal : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`
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Sizes for horizontal division.
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vertical : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`
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Sizes for vertical division.
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aspect : bool, optional
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Whether overall rectangular area is reduced so that the relative
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part of the horizontal and vertical scales have the same scale.
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anchor : (float, float) or {'C', 'SW', 'S', 'SE', 'E', 'NE', 'N', \
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'NW', 'W'}, default: 'C'
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Placement of the reduced rectangle, when *aspect* is True.
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"""
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self._fig = fig
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self._pos = pos
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self._horizontal = horizontal
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self._vertical = vertical
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self._anchor = anchor
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self.set_anchor(anchor)
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self._aspect = aspect
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self._xrefindex = 0
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self._yrefindex = 0
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self._locator = None
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def get_horizontal_sizes(self, renderer):
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return np.array([s.get_size(renderer) for s in self.get_horizontal()])
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def get_vertical_sizes(self, renderer):
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return np.array([s.get_size(renderer) for s in self.get_vertical()])
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def set_position(self, pos):
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"""
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Set the position of the rectangle.
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Parameters
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----------
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pos : tuple of 4 floats
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position of the rectangle that will be divided
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"""
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self._pos = pos
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def get_position(self):
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"""Return the position of the rectangle."""
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return self._pos
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def set_anchor(self, anchor):
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"""
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Parameters
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----------
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anchor : (float, float) or {'C', 'SW', 'S', 'SE', 'E', 'NE', 'N', \
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'NW', 'W'}
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Either an (*x*, *y*) pair of relative coordinates (0 is left or
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bottom, 1 is right or top), 'C' (center), or a cardinal direction
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('SW', southwest, is bottom left, etc.).
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See Also
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--------
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.Axes.set_anchor
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"""
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if isinstance(anchor, str):
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_api.check_in_list(mtransforms.Bbox.coefs, anchor=anchor)
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elif not isinstance(anchor, (tuple, list)) or len(anchor) != 2:
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raise TypeError("anchor must be str or 2-tuple")
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self._anchor = anchor
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def get_anchor(self):
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"""Return the anchor."""
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return self._anchor
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def get_subplotspec(self):
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return None
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def set_horizontal(self, h):
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"""
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Parameters
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----------
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h : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`
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sizes for horizontal division
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"""
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self._horizontal = h
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def get_horizontal(self):
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"""Return horizontal sizes."""
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return self._horizontal
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def set_vertical(self, v):
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"""
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Parameters
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----------
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v : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`
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sizes for vertical division
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"""
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self._vertical = v
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def get_vertical(self):
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"""Return vertical sizes."""
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return self._vertical
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def set_aspect(self, aspect=False):
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"""
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Parameters
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----------
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aspect : bool
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"""
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self._aspect = aspect
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def get_aspect(self):
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"""Return aspect."""
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return self._aspect
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def set_locator(self, _locator):
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self._locator = _locator
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def get_locator(self):
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return self._locator
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def get_position_runtime(self, ax, renderer):
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if self._locator is None:
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return self.get_position()
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else:
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return self._locator(ax, renderer).bounds
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@staticmethod
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def _calc_k(sizes, total):
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# sizes is a (n, 2) array of (rel_size, abs_size); this method finds
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# the k factor such that sum(rel_size * k + abs_size) == total.
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rel_sum, abs_sum = sizes.sum(0)
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return (total - abs_sum) / rel_sum if rel_sum else 0
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@staticmethod
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def _calc_offsets(sizes, k):
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# Apply k factors to (n, 2) sizes array of (rel_size, abs_size); return
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# the resulting cumulative offset positions.
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return np.cumsum([0, *(sizes @ [k, 1])])
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def new_locator(self, nx, ny, nx1=None, ny1=None):
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"""
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Return an axes locator callable for the specified cell.
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Parameters
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----------
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nx, nx1 : int
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Integers specifying the column-position of the
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cell. When *nx1* is None, a single *nx*-th column is
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specified. Otherwise, location of columns spanning between *nx*
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to *nx1* (but excluding *nx1*-th column) is specified.
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ny, ny1 : int
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Same as *nx* and *nx1*, but for row positions.
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"""
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if nx1 is None:
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nx1 = nx + 1
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if ny1 is None:
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ny1 = ny + 1
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# append_size("left") adds a new size at the beginning of the
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# horizontal size lists; this shift transforms e.g.
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# new_locator(nx=2, ...) into effectively new_locator(nx=3, ...). To
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# take that into account, instead of recording nx, we record
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# nx-self._xrefindex, where _xrefindex is shifted by 1 by each
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# append_size("left"), and re-add self._xrefindex back to nx in
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# _locate, when the actual axes position is computed. Ditto for y.
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xref = self._xrefindex
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yref = self._yrefindex
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locator = functools.partial(
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self._locate, nx - xref, ny - yref, nx1 - xref, ny1 - yref)
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locator.get_subplotspec = self.get_subplotspec
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return locator
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@_api.deprecated(
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"3.8", alternative="divider.new_locator(...)(ax, renderer)")
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def locate(self, nx, ny, nx1=None, ny1=None, axes=None, renderer=None):
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"""
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Implementation of ``divider.new_locator().__call__``.
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Parameters
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----------
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nx, nx1 : int
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Integers specifying the column-position of the cell. When *nx1* is
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None, a single *nx*-th column is specified. Otherwise, the
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location of columns spanning between *nx* to *nx1* (but excluding
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*nx1*-th column) is specified.
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ny, ny1 : int
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Same as *nx* and *nx1*, but for row positions.
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axes
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renderer
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"""
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xref = self._xrefindex
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yref = self._yrefindex
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return self._locate(
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nx - xref, (nx + 1 if nx1 is None else nx1) - xref,
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ny - yref, (ny + 1 if ny1 is None else ny1) - yref,
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axes, renderer)
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def _locate(self, nx, ny, nx1, ny1, axes, renderer):
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"""
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Implementation of ``divider.new_locator().__call__``.
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The axes locator callable returned by ``new_locator()`` is created as
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a `functools.partial` of this method with *nx*, *ny*, *nx1*, and *ny1*
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specifying the requested cell.
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"""
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nx += self._xrefindex
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nx1 += self._xrefindex
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ny += self._yrefindex
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ny1 += self._yrefindex
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fig_w, fig_h = self._fig.bbox.size / self._fig.dpi
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x, y, w, h = self.get_position_runtime(axes, renderer)
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hsizes = self.get_horizontal_sizes(renderer)
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vsizes = self.get_vertical_sizes(renderer)
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k_h = self._calc_k(hsizes, fig_w * w)
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k_v = self._calc_k(vsizes, fig_h * h)
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if self.get_aspect():
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k = min(k_h, k_v)
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ox = self._calc_offsets(hsizes, k)
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oy = self._calc_offsets(vsizes, k)
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ww = (ox[-1] - ox[0]) / fig_w
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hh = (oy[-1] - oy[0]) / fig_h
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pb = mtransforms.Bbox.from_bounds(x, y, w, h)
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pb1 = mtransforms.Bbox.from_bounds(x, y, ww, hh)
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x0, y0 = pb1.anchored(self.get_anchor(), pb).p0
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else:
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ox = self._calc_offsets(hsizes, k_h)
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oy = self._calc_offsets(vsizes, k_v)
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x0, y0 = x, y
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if nx1 is None:
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nx1 = -1
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if ny1 is None:
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ny1 = -1
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x1, w1 = x0 + ox[nx] / fig_w, (ox[nx1] - ox[nx]) / fig_w
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y1, h1 = y0 + oy[ny] / fig_h, (oy[ny1] - oy[ny]) / fig_h
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return mtransforms.Bbox.from_bounds(x1, y1, w1, h1)
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def append_size(self, position, size):
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_api.check_in_list(["left", "right", "bottom", "top"],
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position=position)
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if position == "left":
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self._horizontal.insert(0, size)
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self._xrefindex += 1
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elif position == "right":
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self._horizontal.append(size)
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elif position == "bottom":
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self._vertical.insert(0, size)
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self._yrefindex += 1
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else: # 'top'
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self._vertical.append(size)
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def add_auto_adjustable_area(self, use_axes, pad=0.1, adjust_dirs=None):
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"""
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Add auto-adjustable padding around *use_axes* to take their decorations
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(title, labels, ticks, ticklabels) into account during layout.
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Parameters
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----------
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use_axes : `~matplotlib.axes.Axes` or list of `~matplotlib.axes.Axes`
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The Axes whose decorations are taken into account.
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pad : float, default: 0.1
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Additional padding in inches.
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adjust_dirs : list of {"left", "right", "bottom", "top"}, optional
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The sides where padding is added; defaults to all four sides.
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"""
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if adjust_dirs is None:
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adjust_dirs = ["left", "right", "bottom", "top"]
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for d in adjust_dirs:
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self.append_size(d, Size._AxesDecorationsSize(use_axes, d) + pad)
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@_api.deprecated("3.8")
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class AxesLocator:
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"""
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A callable object which returns the position and size of a given
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`.AxesDivider` cell.
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"""
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def __init__(self, axes_divider, nx, ny, nx1=None, ny1=None):
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"""
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Parameters
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----------
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axes_divider : `~mpl_toolkits.axes_grid1.axes_divider.AxesDivider`
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nx, nx1 : int
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Integers specifying the column-position of the
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cell. When *nx1* is None, a single *nx*-th column is
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specified. Otherwise, location of columns spanning between *nx*
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to *nx1* (but excluding *nx1*-th column) is specified.
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ny, ny1 : int
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Same as *nx* and *nx1*, but for row positions.
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"""
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self._axes_divider = axes_divider
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_xrefindex = axes_divider._xrefindex
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_yrefindex = axes_divider._yrefindex
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self._nx, self._ny = nx - _xrefindex, ny - _yrefindex
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if nx1 is None:
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nx1 = len(self._axes_divider)
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if ny1 is None:
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ny1 = len(self._axes_divider[0])
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self._nx1 = nx1 - _xrefindex
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self._ny1 = ny1 - _yrefindex
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def __call__(self, axes, renderer):
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_xrefindex = self._axes_divider._xrefindex
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_yrefindex = self._axes_divider._yrefindex
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return self._axes_divider.locate(self._nx + _xrefindex,
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self._ny + _yrefindex,
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self._nx1 + _xrefindex,
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self._ny1 + _yrefindex,
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axes,
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renderer)
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def get_subplotspec(self):
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return self._axes_divider.get_subplotspec()
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class SubplotDivider(Divider):
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"""
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The Divider class whose rectangle area is specified as a subplot geometry.
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"""
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def __init__(self, fig, *args, horizontal=None, vertical=None,
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aspect=None, anchor='C'):
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"""
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Parameters
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----------
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fig : `~matplotlib.figure.Figure`
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*args : tuple (*nrows*, *ncols*, *index*) or int
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The array of subplots in the figure has dimensions ``(nrows,
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ncols)``, and *index* is the index of the subplot being created.
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*index* starts at 1 in the upper left corner and increases to the
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right.
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If *nrows*, *ncols*, and *index* are all single digit numbers, then
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*args* can be passed as a single 3-digit number (e.g. 234 for
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(2, 3, 4)).
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horizontal : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`, optional
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Sizes for horizontal division.
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vertical : list of :mod:`~mpl_toolkits.axes_grid1.axes_size`, optional
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Sizes for vertical division.
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aspect : bool, optional
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Whether overall rectangular area is reduced so that the relative
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part of the horizontal and vertical scales have the same scale.
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anchor : (float, float) or {'C', 'SW', 'S', 'SE', 'E', 'NE', 'N', \
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'NW', 'W'}, default: 'C'
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Placement of the reduced rectangle, when *aspect* is True.
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"""
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self.figure = fig
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super().__init__(fig, [0, 0, 1, 1],
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horizontal=horizontal or [], vertical=vertical or [],
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aspect=aspect, anchor=anchor)
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self.set_subplotspec(SubplotSpec._from_subplot_args(fig, args))
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def get_position(self):
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"""Return the bounds of the subplot box."""
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return self.get_subplotspec().get_position(self.figure).bounds
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def get_subplotspec(self):
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"""Get the SubplotSpec instance."""
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return self._subplotspec
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def set_subplotspec(self, subplotspec):
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"""Set the SubplotSpec instance."""
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self._subplotspec = subplotspec
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self.set_position(subplotspec.get_position(self.figure))
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class AxesDivider(Divider):
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"""
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Divider based on the preexisting axes.
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"""
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def __init__(self, axes, xref=None, yref=None):
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"""
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Parameters
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----------
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axes : :class:`~matplotlib.axes.Axes`
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xref
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yref
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"""
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self._axes = axes
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if xref is None:
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self._xref = Size.AxesX(axes)
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else:
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self._xref = xref
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if yref is None:
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self._yref = Size.AxesY(axes)
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else:
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self._yref = yref
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super().__init__(fig=axes.get_figure(), pos=None,
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horizontal=[self._xref], vertical=[self._yref],
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aspect=None, anchor="C")
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def _get_new_axes(self, *, axes_class=None, **kwargs):
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axes = self._axes
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if axes_class is None:
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axes_class = type(axes)
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return axes_class(axes.get_figure(), axes.get_position(original=True),
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**kwargs)
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def new_horizontal(self, size, pad=None, pack_start=False, **kwargs):
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"""
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Helper method for ``append_axes("left")`` and ``append_axes("right")``.
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See the documentation of `append_axes` for more details.
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:meta private:
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"""
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if pad is None:
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pad = mpl.rcParams["figure.subplot.wspace"] * self._xref
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pos = "left" if pack_start else "right"
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if pad:
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if not isinstance(pad, Size._Base):
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pad = Size.from_any(pad, fraction_ref=self._xref)
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self.append_size(pos, pad)
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if not isinstance(size, Size._Base):
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size = Size.from_any(size, fraction_ref=self._xref)
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self.append_size(pos, size)
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locator = self.new_locator(
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nx=0 if pack_start else len(self._horizontal) - 1,
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ny=self._yrefindex)
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ax = self._get_new_axes(**kwargs)
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ax.set_axes_locator(locator)
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return ax
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def new_vertical(self, size, pad=None, pack_start=False, **kwargs):
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"""
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Helper method for ``append_axes("top")`` and ``append_axes("bottom")``.
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See the documentation of `append_axes` for more details.
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:meta private:
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"""
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if pad is None:
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pad = mpl.rcParams["figure.subplot.hspace"] * self._yref
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pos = "bottom" if pack_start else "top"
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if pad:
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if not isinstance(pad, Size._Base):
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pad = Size.from_any(pad, fraction_ref=self._yref)
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self.append_size(pos, pad)
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if not isinstance(size, Size._Base):
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size = Size.from_any(size, fraction_ref=self._yref)
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self.append_size(pos, size)
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locator = self.new_locator(
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nx=self._xrefindex,
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ny=0 if pack_start else len(self._vertical) - 1)
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ax = self._get_new_axes(**kwargs)
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ax.set_axes_locator(locator)
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return ax
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def append_axes(self, position, size, pad=None, *, axes_class=None,
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**kwargs):
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"""
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Add a new axes on a given side of the main axes.
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Parameters
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----------
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position : {"left", "right", "bottom", "top"}
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Where the new axes is positioned relative to the main axes.
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size : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str
|
|
The axes width or height. float or str arguments are interpreted
|
|
as ``axes_size.from_any(size, AxesX(<main_axes>))`` for left or
|
|
right axes, and likewise with ``AxesY`` for bottom or top axes.
|
|
pad : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str
|
|
Padding between the axes. float or str arguments are interpreted
|
|
as for *size*. Defaults to :rc:`figure.subplot.wspace` times the
|
|
main Axes width (left or right axes) or :rc:`figure.subplot.hspace`
|
|
times the main Axes height (bottom or top axes).
|
|
axes_class : subclass type of `~.axes.Axes`, optional
|
|
The type of the new axes. Defaults to the type of the main axes.
|
|
**kwargs
|
|
All extra keywords arguments are passed to the created axes.
|
|
"""
|
|
create_axes, pack_start = _api.check_getitem({
|
|
"left": (self.new_horizontal, True),
|
|
"right": (self.new_horizontal, False),
|
|
"bottom": (self.new_vertical, True),
|
|
"top": (self.new_vertical, False),
|
|
}, position=position)
|
|
ax = create_axes(
|
|
size, pad, pack_start=pack_start, axes_class=axes_class, **kwargs)
|
|
self._fig.add_axes(ax)
|
|
return ax
|
|
|
|
def get_aspect(self):
|
|
if self._aspect is None:
|
|
aspect = self._axes.get_aspect()
|
|
if aspect == "auto":
|
|
return False
|
|
else:
|
|
return True
|
|
else:
|
|
return self._aspect
|
|
|
|
def get_position(self):
|
|
if self._pos is None:
|
|
bbox = self._axes.get_position(original=True)
|
|
return bbox.bounds
|
|
else:
|
|
return self._pos
|
|
|
|
def get_anchor(self):
|
|
if self._anchor is None:
|
|
return self._axes.get_anchor()
|
|
else:
|
|
return self._anchor
|
|
|
|
def get_subplotspec(self):
|
|
return self._axes.get_subplotspec()
|
|
|
|
|
|
# Helper for HBoxDivider/VBoxDivider.
|
|
# The variable names are written for a horizontal layout, but the calculations
|
|
# work identically for vertical layouts.
|
|
def _locate(x, y, w, h, summed_widths, equal_heights, fig_w, fig_h, anchor):
|
|
|
|
total_width = fig_w * w
|
|
max_height = fig_h * h
|
|
|
|
# Determine the k factors.
|
|
n = len(equal_heights)
|
|
eq_rels, eq_abss = equal_heights.T
|
|
sm_rels, sm_abss = summed_widths.T
|
|
A = np.diag([*eq_rels, 0])
|
|
A[:n, -1] = -1
|
|
A[-1, :-1] = sm_rels
|
|
B = [*(-eq_abss), total_width - sm_abss.sum()]
|
|
# A @ K = B: This finds factors {k_0, ..., k_{N-1}, H} so that
|
|
# eq_rel_i * k_i + eq_abs_i = H for all i: all axes have the same height
|
|
# sum(sm_rel_i * k_i + sm_abs_i) = total_width: fixed total width
|
|
# (foo_rel_i * k_i + foo_abs_i will end up being the size of foo.)
|
|
*karray, height = np.linalg.solve(A, B)
|
|
if height > max_height: # Additionally, upper-bound the height.
|
|
karray = (max_height - eq_abss) / eq_rels
|
|
|
|
# Compute the offsets corresponding to these factors.
|
|
ox = np.cumsum([0, *(sm_rels * karray + sm_abss)])
|
|
ww = (ox[-1] - ox[0]) / fig_w
|
|
h0_rel, h0_abs = equal_heights[0]
|
|
hh = (karray[0]*h0_rel + h0_abs) / fig_h
|
|
pb = mtransforms.Bbox.from_bounds(x, y, w, h)
|
|
pb1 = mtransforms.Bbox.from_bounds(x, y, ww, hh)
|
|
x0, y0 = pb1.anchored(anchor, pb).p0
|
|
|
|
return x0, y0, ox, hh
|
|
|
|
|
|
class HBoxDivider(SubplotDivider):
|
|
"""
|
|
A `.SubplotDivider` for laying out axes horizontally, while ensuring that
|
|
they have equal heights.
|
|
|
|
Examples
|
|
--------
|
|
.. plot:: gallery/axes_grid1/demo_axes_hbox_divider.py
|
|
"""
|
|
|
|
def new_locator(self, nx, nx1=None):
|
|
"""
|
|
Create an axes locator callable for the specified cell.
|
|
|
|
Parameters
|
|
----------
|
|
nx, nx1 : int
|
|
Integers specifying the column-position of the
|
|
cell. When *nx1* is None, a single *nx*-th column is
|
|
specified. Otherwise, location of columns spanning between *nx*
|
|
to *nx1* (but excluding *nx1*-th column) is specified.
|
|
"""
|
|
return super().new_locator(nx, 0, nx1, 0)
|
|
|
|
def _locate(self, nx, ny, nx1, ny1, axes, renderer):
|
|
# docstring inherited
|
|
nx += self._xrefindex
|
|
nx1 += self._xrefindex
|
|
fig_w, fig_h = self._fig.bbox.size / self._fig.dpi
|
|
x, y, w, h = self.get_position_runtime(axes, renderer)
|
|
summed_ws = self.get_horizontal_sizes(renderer)
|
|
equal_hs = self.get_vertical_sizes(renderer)
|
|
x0, y0, ox, hh = _locate(
|
|
x, y, w, h, summed_ws, equal_hs, fig_w, fig_h, self.get_anchor())
|
|
if nx1 is None:
|
|
nx1 = -1
|
|
x1, w1 = x0 + ox[nx] / fig_w, (ox[nx1] - ox[nx]) / fig_w
|
|
y1, h1 = y0, hh
|
|
return mtransforms.Bbox.from_bounds(x1, y1, w1, h1)
|
|
|
|
|
|
class VBoxDivider(SubplotDivider):
|
|
"""
|
|
A `.SubplotDivider` for laying out axes vertically, while ensuring that
|
|
they have equal widths.
|
|
"""
|
|
|
|
def new_locator(self, ny, ny1=None):
|
|
"""
|
|
Create an axes locator callable for the specified cell.
|
|
|
|
Parameters
|
|
----------
|
|
ny, ny1 : int
|
|
Integers specifying the row-position of the
|
|
cell. When *ny1* is None, a single *ny*-th row is
|
|
specified. Otherwise, location of rows spanning between *ny*
|
|
to *ny1* (but excluding *ny1*-th row) is specified.
|
|
"""
|
|
return super().new_locator(0, ny, 0, ny1)
|
|
|
|
def _locate(self, nx, ny, nx1, ny1, axes, renderer):
|
|
# docstring inherited
|
|
ny += self._yrefindex
|
|
ny1 += self._yrefindex
|
|
fig_w, fig_h = self._fig.bbox.size / self._fig.dpi
|
|
x, y, w, h = self.get_position_runtime(axes, renderer)
|
|
summed_hs = self.get_vertical_sizes(renderer)
|
|
equal_ws = self.get_horizontal_sizes(renderer)
|
|
y0, x0, oy, ww = _locate(
|
|
y, x, h, w, summed_hs, equal_ws, fig_h, fig_w, self.get_anchor())
|
|
if ny1 is None:
|
|
ny1 = -1
|
|
x1, w1 = x0, ww
|
|
y1, h1 = y0 + oy[ny] / fig_h, (oy[ny1] - oy[ny]) / fig_h
|
|
return mtransforms.Bbox.from_bounds(x1, y1, w1, h1)
|
|
|
|
|
|
def make_axes_locatable(axes):
|
|
divider = AxesDivider(axes)
|
|
locator = divider.new_locator(nx=0, ny=0)
|
|
axes.set_axes_locator(locator)
|
|
|
|
return divider
|
|
|
|
|
|
def make_axes_area_auto_adjustable(
|
|
ax, use_axes=None, pad=0.1, adjust_dirs=None):
|
|
"""
|
|
Add auto-adjustable padding around *ax* to take its decorations (title,
|
|
labels, ticks, ticklabels) into account during layout, using
|
|
`.Divider.add_auto_adjustable_area`.
|
|
|
|
By default, padding is determined from the decorations of *ax*.
|
|
Pass *use_axes* to consider the decorations of other Axes instead.
|
|
"""
|
|
if adjust_dirs is None:
|
|
adjust_dirs = ["left", "right", "bottom", "top"]
|
|
divider = make_axes_locatable(ax)
|
|
if use_axes is None:
|
|
use_axes = ax
|
|
divider.add_auto_adjustable_area(use_axes=use_axes, pad=pad,
|
|
adjust_dirs=adjust_dirs)
|