""" Helper classes to adjust the positions of multiple axes at drawing time. """ import numpy as np from matplotlib import cbook from matplotlib.axes import SubplotBase from matplotlib.gridspec import SubplotSpec, GridSpec import matplotlib.transforms as mtransforms from . import axes_size as Size class Divider: """ An Axes positioning class. The divider is initialized with lists of horizontal and vertical sizes (:mod:`mpl_toolkits.axes_grid1.axes_size`) based on which a given rectangular area will be divided. The `new_locator` method then creates a callable object that can be used as the *axes_locator* of the axes. """ def __init__(self, fig, pos, horizontal, vertical, aspect=None, anchor="C"): """ Parameters ---------- fig : Figure pos : tuple of 4 floats Position of the rectangle that will be divided. horizontal : list of :mod:`~mpl_toolkits.axes_grid1.axes_size` Sizes for horizontal division. vertical : list of :mod:`~mpl_toolkits.axes_grid1.axes_size` Sizes for vertical division. aspect : bool Whether overall rectangular area is reduced so that the relative part of the horizontal and vertical scales have the same scale. anchor : {'C', 'SW', 'S', 'SE', 'E', 'NE', 'N', 'NW', 'W'} Placement of the reduced rectangle, when *aspect* is True. """ self._fig = fig self._pos = pos self._horizontal = horizontal self._vertical = vertical self._anchor = anchor self._aspect = aspect self._xrefindex = 0 self._yrefindex = 0 self._locator = None def get_horizontal_sizes(self, renderer): return [s.get_size(renderer) for s in self.get_horizontal()] def get_vertical_sizes(self, renderer): return [s.get_size(renderer) for s in self.get_vertical()] def get_vsize_hsize(self): vsize = Size.AddList(self.get_vertical()) hsize = Size.AddList(self.get_horizontal()) return vsize, hsize @staticmethod def _calc_k(l, total_size): rs_sum, as_sum = 0., 0. for _rs, _as in l: rs_sum += _rs as_sum += _as if rs_sum != 0.: k = (total_size - as_sum) / rs_sum return k else: return 0. @staticmethod def _calc_offsets(l, k): offsets = [0.] for _rs, _as in l: offsets.append(offsets[-1] + _rs*k + _as) return offsets def set_position(self, pos): """ Set the position of the rectangle. Parameters ---------- pos : tuple of 4 floats position of the rectangle that will be divided """ self._pos = pos def get_position(self): """Return the position of the rectangle.""" return self._pos def set_anchor(self, anchor): """ Parameters ---------- anchor : {'C', 'SW', 'S', 'SE', 'E', 'NE', 'N', 'NW', 'W'} anchor position ===== ============ value description ===== ============ 'C' Center 'SW' bottom left 'S' bottom 'SE' bottom right 'E' right 'NE' top right 'N' top 'NW' top left 'W' left ===== ============ """ if len(anchor) != 2: cbook._check_in_list(mtransforms.Bbox.coefs, anchor=anchor) self._anchor = anchor def get_anchor(self): """Return the anchor.""" return self._anchor def set_horizontal(self, h): """ Parameters ---------- h : list of :mod:`~mpl_toolkits.axes_grid1.axes_size` sizes for horizontal division """ self._horizontal = h def get_horizontal(self): """Return horizontal sizes.""" return self._horizontal def set_vertical(self, v): """ Parameters ---------- v : list of :mod:`~mpl_toolkits.axes_grid1.axes_size` sizes for vertical division """ self._vertical = v def get_vertical(self): """Return vertical sizes.""" return self._vertical def set_aspect(self, aspect=False): """ Parameters ---------- aspect : bool """ self._aspect = aspect def get_aspect(self): """Return aspect.""" return self._aspect def set_locator(self, _locator): self._locator = _locator def get_locator(self): return self._locator def get_position_runtime(self, ax, renderer): if self._locator is None: return self.get_position() else: return self._locator(ax, renderer).bounds def locate(self, nx, ny, nx1=None, ny1=None, axes=None, renderer=None): """ 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. axes renderer """ figW, figH = self._fig.get_size_inches() x, y, w, h = self.get_position_runtime(axes, renderer) hsizes = self.get_horizontal_sizes(renderer) vsizes = self.get_vertical_sizes(renderer) k_h = self._calc_k(hsizes, figW*w) k_v = self._calc_k(vsizes, figH*h) if self.get_aspect(): k = min(k_h, k_v) ox = self._calc_offsets(hsizes, k) oy = self._calc_offsets(vsizes, k) ww = (ox[-1] - ox[0]) / figW hh = (oy[-1] - oy[0]) / figH pb = mtransforms.Bbox.from_bounds(x, y, w, h) pb1 = mtransforms.Bbox.from_bounds(x, y, ww, hh) pb1_anchored = pb1.anchored(self.get_anchor(), pb) x0, y0 = pb1_anchored.x0, pb1_anchored.y0 else: ox = self._calc_offsets(hsizes, k_h) oy = self._calc_offsets(vsizes, k_v) x0, y0 = x, y if nx1 is None: nx1 = nx + 1 if ny1 is None: ny1 = ny + 1 x1, w1 = x0 + ox[nx] / figW, (ox[nx1] - ox[nx]) / figW y1, h1 = y0 + oy[ny] / figH, (oy[ny1] - oy[ny]) / figH return mtransforms.Bbox.from_bounds(x1, y1, w1, h1) def new_locator(self, nx, ny, nx1=None, ny1=None): """ Return a new `AxesLocator` 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. """ return AxesLocator(self, nx, ny, nx1, ny1) def append_size(self, position, size): if position == "left": self._horizontal.insert(0, size) self._xrefindex += 1 elif position == "right": self._horizontal.append(size) elif position == "bottom": self._vertical.insert(0, size) self._yrefindex += 1 elif position == "top": self._vertical.append(size) else: cbook._check_in_list(["left", "right", "bottom", "top"], position=position) def add_auto_adjustable_area(self, use_axes, pad=0.1, adjust_dirs=None): if adjust_dirs is None: adjust_dirs = ["left", "right", "bottom", "top"] from .axes_size import Padded, SizeFromFunc, GetExtentHelper for d in adjust_dirs: helper = GetExtentHelper(use_axes, d) size = SizeFromFunc(helper) padded_size = Padded(size, pad) # pad in inch self.append_size(d, padded_size) class AxesLocator: """ A simple callable object, initialized with AxesDivider class, returns the position and size of the given cell. """ def __init__(self, axes_divider, nx, ny, nx1=None, ny1=None): """ Parameters ---------- axes_divider : AxesDivider 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. """ self._axes_divider = axes_divider _xrefindex = axes_divider._xrefindex _yrefindex = axes_divider._yrefindex self._nx, self._ny = nx - _xrefindex, ny - _yrefindex if nx1 is None: nx1 = nx + 1 if ny1 is None: ny1 = ny + 1 self._nx1 = nx1 - _xrefindex self._ny1 = ny1 - _yrefindex def __call__(self, axes, renderer): _xrefindex = self._axes_divider._xrefindex _yrefindex = self._axes_divider._yrefindex return self._axes_divider.locate(self._nx + _xrefindex, self._ny + _yrefindex, self._nx1 + _xrefindex, self._ny1 + _yrefindex, axes, renderer) def get_subplotspec(self): if hasattr(self._axes_divider, "get_subplotspec"): return self._axes_divider.get_subplotspec() else: return None class SubplotDivider(Divider): """ The Divider class whose rectangle area is specified as a subplot geometry. """ def __init__(self, fig, *args, horizontal=None, vertical=None, aspect=None, anchor='C'): """ Parameters ---------- fig : `matplotlib.figure.Figure` *args : tuple (*nrows*, *ncols*, *index*) or int The array of subplots in the figure has dimensions ``(nrows, ncols)``, and *index* is the index of the subplot being created. *index* starts at 1 in the upper left corner and increases to the right. If *nrows*, *ncols*, and *index* are all single digit numbers, then *args* can be passed as a single 3-digit number (e.g. 234 for (2, 3, 4)). """ self.figure = fig self._subplotspec = SubplotSpec._from_subplot_args(fig, args) self.update_params() # sets self.figbox Divider.__init__(self, fig, pos=self.figbox.bounds, horizontal=horizontal or [], vertical=vertical or [], aspect=aspect, anchor=anchor) def get_position(self): """Return the bounds of the subplot box.""" self.update_params() # update self.figbox return self.figbox.bounds def update_params(self): """Update the subplot position from fig.subplotpars.""" self.figbox = self.get_subplotspec().get_position(self.figure) def get_geometry(self): """Get the subplot geometry, e.g., (2, 2, 3).""" rows, cols, num1, num2 = self.get_subplotspec().get_geometry() return rows, cols, num1 + 1 # for compatibility # COVERAGE NOTE: Never used internally or from examples def change_geometry(self, numrows, numcols, num): """Change subplot geometry, e.g., from (1, 1, 1) to (2, 2, 3).""" self._subplotspec = GridSpec(numrows, numcols)[num-1] self.update_params() self.set_position(self.figbox) def get_subplotspec(self): """Get the SubplotSpec instance.""" return self._subplotspec def set_subplotspec(self, subplotspec): """Set the SubplotSpec instance.""" self._subplotspec = subplotspec class AxesDivider(Divider): """ Divider based on the pre-existing axes. """ def __init__(self, axes, xref=None, yref=None): """ Parameters ---------- axes : :class:`~matplotlib.axes.Axes` xref yref """ self._axes = axes if xref is None: self._xref = Size.AxesX(axes) else: self._xref = xref if yref is None: self._yref = Size.AxesY(axes) else: self._yref = yref Divider.__init__(self, fig=axes.get_figure(), pos=None, horizontal=[self._xref], vertical=[self._yref], aspect=None, anchor="C") def _get_new_axes(self, *, axes_class=None, **kwargs): axes = self._axes if axes_class is None: if isinstance(axes, SubplotBase): axes_class = axes._axes_class else: axes_class = type(axes) return axes_class(axes.get_figure(), axes.get_position(original=True), **kwargs) def new_horizontal(self, size, pad=None, pack_start=False, **kwargs): """ Add a new axes on the right (or left) side of the main axes. Parameters ---------- size : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str A width of the axes. If float or string is given, *from_any* function is used to create the size, with *ref_size* set to AxesX instance of the current axes. pad : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str Pad between the axes. It takes same argument as *size*. pack_start : bool If False, the new axes is appended at the end of the list, i.e., it became the right-most axes. If True, it is inserted at the start of the list, and becomes the left-most axes. **kwargs All extra keywords arguments are passed to the created axes. If *axes_class* is given, the new axes will be created as an instance of the given class. Otherwise, the same class of the main axes will be used. """ if pad is None: cbook.warn_deprecated( "3.2", message="In a future version, 'pad' will default to " "rcParams['figure.subplot.wspace']. Set pad=0 to keep the " "old behavior.") if pad: if not isinstance(pad, Size._Base): pad = Size.from_any(pad, fraction_ref=self._xref) if pack_start: self._horizontal.insert(0, pad) self._xrefindex += 1 else: self._horizontal.append(pad) if not isinstance(size, Size._Base): size = Size.from_any(size, fraction_ref=self._xref) if pack_start: self._horizontal.insert(0, size) self._xrefindex += 1 locator = self.new_locator(nx=0, ny=self._yrefindex) else: self._horizontal.append(size) locator = self.new_locator( nx=len(self._horizontal) - 1, ny=self._yrefindex) ax = self._get_new_axes(**kwargs) ax.set_axes_locator(locator) return ax def new_vertical(self, size, pad=None, pack_start=False, **kwargs): """ Add a new axes on the top (or bottom) side of the main axes. Parameters ---------- size : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str A height of the axes. If float or string is given, *from_any* function is used to create the size, with *ref_size* set to AxesX instance of the current axes. pad : :mod:`~mpl_toolkits.axes_grid1.axes_size` or float or str Pad between the axes. It takes same argument as *size*. pack_start : bool If False, the new axes is appended at the end of the list, i.e., it became the right-most axes. If True, it is inserted at the start of the list, and becomes the left-most axes. **kwargs All extra keywords arguments are passed to the created axes. If *axes_class* is given, the new axes will be created as an instance of the given class. Otherwise, the same class of the main axes will be used. """ if pad is None: cbook.warn_deprecated( "3.2", message="In a future version, 'pad' will default to " "rcParams['figure.subplot.hspace']. Set pad=0 to keep the " "old behavior.") if pad: if not isinstance(pad, Size._Base): pad = Size.from_any(pad, fraction_ref=self._yref) if pack_start: self._vertical.insert(0, pad) self._yrefindex += 1 else: self._vertical.append(pad) if not isinstance(size, Size._Base): size = Size.from_any(size, fraction_ref=self._yref) if pack_start: self._vertical.insert(0, size) self._yrefindex += 1 locator = self.new_locator(nx=self._xrefindex, ny=0) else: self._vertical.append(size) locator = self.new_locator( nx=self._xrefindex, ny=len(self._vertical)-1) ax = self._get_new_axes(**kwargs) ax.set_axes_locator(locator) return ax def append_axes(self, position, size, pad=None, add_to_figure=True, **kwargs): """ Create an axes at the given *position* with the same height (or width) of the main axes. *position* ["left"|"right"|"bottom"|"top"] *size* and *pad* should be axes_grid.axes_size compatible. """ if position == "left": ax = self.new_horizontal(size, pad, pack_start=True, **kwargs) elif position == "right": ax = self.new_horizontal(size, pad, pack_start=False, **kwargs) elif position == "bottom": ax = self.new_vertical(size, pad, pack_start=True, **kwargs) elif position == "top": ax = self.new_vertical(size, pad, pack_start=False, **kwargs) else: cbook._check_in_list(["left", "right", "bottom", "top"], position=position) if add_to_figure: 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): if hasattr(self._axes, "get_subplotspec"): return self._axes.get_subplotspec() else: return None class HBoxDivider(SubplotDivider): @staticmethod def _determine_karray(equivalent_sizes, appended_sizes, max_equivalent_size, total_appended_size): n = len(equivalent_sizes) eq_rs, eq_as = np.asarray(equivalent_sizes).T ap_rs, ap_as = np.asarray(appended_sizes).T A = np.zeros((n + 1, n + 1)) B = np.zeros(n + 1) np.fill_diagonal(A[:n, :n], eq_rs) A[:n, -1] = -1 A[-1, :-1] = ap_rs B[:n] = -eq_as B[-1] = total_appended_size - sum(ap_as) karray_H = np.linalg.solve(A, B) # A @ K = B karray = karray_H[:-1] H = karray_H[-1] if H > max_equivalent_size: karray = (max_equivalent_size - eq_as) / eq_rs return karray @staticmethod def _calc_offsets(appended_sizes, karray): offsets = [0.] for (r, a), k in zip(appended_sizes, karray): offsets.append(offsets[-1] + r*k + a) return offsets def new_locator(self, nx, nx1=None): """ Create a new `~mpl_toolkits.axes_grid.axes_divider.AxesLocator` 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. """ return AxesLocator(self, nx, 0, nx1, None) def _locate(self, x, y, w, h, y_equivalent_sizes, x_appended_sizes, figW, figH): equivalent_sizes = y_equivalent_sizes appended_sizes = x_appended_sizes max_equivalent_size = figH * h total_appended_size = figW * w karray = self._determine_karray(equivalent_sizes, appended_sizes, max_equivalent_size, total_appended_size) ox = self._calc_offsets(appended_sizes, karray) ww = (ox[-1] - ox[0]) / figW ref_h = equivalent_sizes[0] hh = (karray[0]*ref_h[0] + ref_h[1]) / figH pb = mtransforms.Bbox.from_bounds(x, y, w, h) pb1 = mtransforms.Bbox.from_bounds(x, y, ww, hh) pb1_anchored = pb1.anchored(self.get_anchor(), pb) x0, y0 = pb1_anchored.x0, pb1_anchored.y0 return x0, y0, ox, hh def locate(self, nx, ny, nx1=None, ny1=None, axes=None, renderer=None): """ Parameters ---------- axes_divider : AxesDivider 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. axes renderer """ figW, figH = self._fig.get_size_inches() x, y, w, h = self.get_position_runtime(axes, renderer) y_equivalent_sizes = self.get_vertical_sizes(renderer) x_appended_sizes = self.get_horizontal_sizes(renderer) x0, y0, ox, hh = self._locate(x, y, w, h, y_equivalent_sizes, x_appended_sizes, figW, figH) if nx1 is None: nx1 = nx + 1 x1, w1 = x0 + ox[nx] / figW, (ox[nx1] - ox[nx]) / figW y1, h1 = y0, hh return mtransforms.Bbox.from_bounds(x1, y1, w1, h1) class VBoxDivider(HBoxDivider): """ The Divider class whose rectangle area is specified as a subplot geometry. """ def new_locator(self, ny, ny1=None): """ Create a new `~mpl_toolkits.axes_grid.axes_divider.AxesLocator` 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 AxesLocator(self, 0, ny, None, ny1) def locate(self, nx, ny, nx1=None, ny1=None, axes=None, renderer=None): """ Parameters ---------- axes_divider : AxesDivider 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. ny, ny1 : int Same as *nx* and *nx1*, but for row positions. axes renderer """ figW, figH = self._fig.get_size_inches() x, y, w, h = self.get_position_runtime(axes, renderer) x_equivalent_sizes = self.get_horizontal_sizes(renderer) y_appended_sizes = self.get_vertical_sizes(renderer) y0, x0, oy, ww = self._locate(y, x, h, w, x_equivalent_sizes, y_appended_sizes, figH, figW) if ny1 is None: ny1 = ny + 1 x1, w1 = x0, ww y1, h1 = y0 + oy[ny] / figH, (oy[ny1] - oy[ny]) / figH 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): 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)