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from collections import OrderedDict 

import itertools 

import logging 

import math 

from numbers import Real 

from operator import attrgetter 

import types 

import warnings 

 

import numpy as np 

 

import matplotlib 

 

from matplotlib import cbook, rcParams 

from matplotlib.cbook import ( 

_OrderedSet, _check_1d, _string_to_bool, iterable, index_of, get_label) 

from matplotlib import docstring 

import matplotlib.colors as mcolors 

import matplotlib.lines as mlines 

import matplotlib.patches as mpatches 

import matplotlib.artist as martist 

import matplotlib.transforms as mtransforms 

import matplotlib.ticker as mticker 

import matplotlib.axis as maxis 

import matplotlib.scale as mscale 

import matplotlib.spines as mspines 

import matplotlib.font_manager as font_manager 

import matplotlib.text as mtext 

import matplotlib.image as mimage 

from matplotlib.offsetbox import OffsetBox 

from matplotlib.artist import allow_rasterization 

from matplotlib.legend import Legend 

 

from matplotlib.rcsetup import cycler, validate_axisbelow 

 

_log = logging.getLogger(__name__) 

 

 

def _process_plot_format(fmt): 

""" 

Process a MATLAB style color/line style format string. Return a 

(*linestyle*, *color*) tuple as a result of the processing. Default 

values are ('-', 'b'). Example format strings include: 

 

* 'ko': black circles 

* '.b': blue dots 

* 'r--': red dashed lines 

* 'C2--': the third color in the color cycle, dashed lines 

 

.. seealso:: 

 

:func:`~matplotlib.Line2D.lineStyles` and 

:attr:`~matplotlib.colors.cnames` 

for all possible styles and color format string. 

""" 

 

linestyle = None 

marker = None 

color = None 

 

# Is fmt just a colorspec? 

try: 

color = mcolors.to_rgba(fmt) 

 

# We need to differentiate grayscale '1.0' from tri_down marker '1' 

try: 

fmtint = str(int(fmt)) 

except ValueError: 

return linestyle, marker, color # Yes 

else: 

if fmt != fmtint: 

# user definitely doesn't want tri_down marker 

return linestyle, marker, color # Yes 

else: 

# ignore converted color 

color = None 

except ValueError: 

pass # No, not just a color. 

 

# handle the multi char special cases and strip them from the 

# string 

if fmt.find('--') >= 0: 

linestyle = '--' 

fmt = fmt.replace('--', '') 

if fmt.find('-.') >= 0: 

linestyle = '-.' 

fmt = fmt.replace('-.', '') 

if fmt.find(' ') >= 0: 

linestyle = 'None' 

fmt = fmt.replace(' ', '') 

 

chars = [c for c in fmt] 

 

i = 0 

while i < len(chars): 

c = chars[i] 

if c in mlines.lineStyles: 

if linestyle is not None: 

raise ValueError( 

'Illegal format string "%s"; two linestyle symbols' % fmt) 

linestyle = c 

elif c in mlines.lineMarkers: 

if marker is not None: 

raise ValueError( 

'Illegal format string "%s"; two marker symbols' % fmt) 

marker = c 

elif c in mcolors.get_named_colors_mapping(): 

if color is not None: 

raise ValueError( 

'Illegal format string "%s"; two color symbols' % fmt) 

color = c 

elif c == 'C' and i < len(chars) - 1: 

color_cycle_number = int(chars[i + 1]) 

color = mcolors.to_rgba("C{}".format(color_cycle_number)) 

i += 1 

else: 

raise ValueError( 

'Unrecognized character %c in format string' % c) 

i += 1 

 

if linestyle is None and marker is None: 

linestyle = rcParams['lines.linestyle'] 

if linestyle is None: 

linestyle = 'None' 

if marker is None: 

marker = 'None' 

 

return linestyle, marker, color 

 

 

class _process_plot_var_args(object): 

""" 

Process variable length arguments to the plot command, so that 

plot commands like the following are supported:: 

 

plot(t, s) 

plot(t1, s1, t2, s2) 

plot(t1, s1, 'ko', t2, s2) 

plot(t1, s1, 'ko', t2, s2, 'r--', t3, e3) 

 

an arbitrary number of *x*, *y*, *fmt* are allowed 

""" 

def __init__(self, axes, command='plot'): 

self.axes = axes 

self.command = command 

self.set_prop_cycle() 

 

def __getstate__(self): 

# note: it is not possible to pickle a generator (and thus a cycler). 

return {'axes': self.axes, 'command': self.command} 

 

def __setstate__(self, state): 

self.__dict__ = state.copy() 

self.set_prop_cycle() 

 

def set_prop_cycle(self, *args, **kwargs): 

# Can't do `args == (None,)` as that crashes cycler. 

if not (args or kwargs) or (len(args) == 1 and args[0] is None): 

prop_cycler = rcParams['axes.prop_cycle'] 

else: 

prop_cycler = cycler(*args, **kwargs) 

 

self.prop_cycler = itertools.cycle(prop_cycler) 

# This should make a copy 

self._prop_keys = prop_cycler.keys 

 

def __call__(self, *args, **kwargs): 

if self.axes.xaxis is not None and self.axes.yaxis is not None: 

xunits = kwargs.pop('xunits', self.axes.xaxis.units) 

 

if self.axes.name == 'polar': 

xunits = kwargs.pop('thetaunits', xunits) 

 

yunits = kwargs.pop('yunits', self.axes.yaxis.units) 

 

if self.axes.name == 'polar': 

yunits = kwargs.pop('runits', yunits) 

 

if xunits != self.axes.xaxis.units: 

self.axes.xaxis.set_units(xunits) 

 

if yunits != self.axes.yaxis.units: 

self.axes.yaxis.set_units(yunits) 

 

ret = self._grab_next_args(*args, **kwargs) 

return ret 

 

def get_next_color(self): 

"""Return the next color in the cycle.""" 

if 'color' not in self._prop_keys: 

return 'k' 

return next(self.prop_cycler)['color'] 

 

def set_lineprops(self, line, **kwargs): 

assert self.command == 'plot', 'set_lineprops only works with "plot"' 

line.set(**kwargs) 

 

def set_patchprops(self, fill_poly, **kwargs): 

assert self.command == 'fill', 'set_patchprops only works with "fill"' 

fill_poly.set(**kwargs) 

 

def _xy_from_xy(self, x, y): 

if self.axes.xaxis is not None and self.axes.yaxis is not None: 

bx = self.axes.xaxis.update_units(x) 

by = self.axes.yaxis.update_units(y) 

 

if self.command != 'plot': 

# the Line2D class can handle unitized data, with 

# support for post hoc unit changes etc. Other mpl 

# artists, e.g., Polygon which _process_plot_var_args 

# also serves on calls to fill, cannot. So this is a 

# hack to say: if you are not "plot", which is 

# creating Line2D, then convert the data now to 

# floats. If you are plot, pass the raw data through 

# to Line2D which will handle the conversion. So 

# polygons will not support post hoc conversions of 

# the unit type since they are not storing the orig 

# data. Hopefully we can rationalize this at a later 

# date - JDH 

if bx: 

x = self.axes.convert_xunits(x) 

if by: 

y = self.axes.convert_yunits(y) 

 

# like asanyarray, but converts scalar to array, and doesn't change 

# existing compatible sequences 

x = _check_1d(x) 

y = _check_1d(y) 

if x.shape[0] != y.shape[0]: 

raise ValueError("x and y must have same first dimension, but " 

"have shapes {} and {}".format(x.shape, y.shape)) 

if x.ndim > 2 or y.ndim > 2: 

raise ValueError("x and y can be no greater than 2-D, but have " 

"shapes {} and {}".format(x.shape, y.shape)) 

 

if x.ndim == 1: 

x = x[:, np.newaxis] 

if y.ndim == 1: 

y = y[:, np.newaxis] 

return x, y 

 

def _getdefaults(self, ignore, *kwargs): 

""" 

Only advance the cycler if the cycler has information that 

is not specified in any of the supplied tuple of dicts. 

Ignore any keys specified in the `ignore` set. 

 

Returns a copy of defaults dictionary if there are any 

keys that are not found in any of the supplied dictionaries. 

If the supplied dictionaries have non-None values for 

everything the property cycler has, then just return 

an empty dictionary. Ignored keys are excluded from the 

returned dictionary. 

 

""" 

prop_keys = self._prop_keys 

if ignore is None: 

ignore = set() 

prop_keys = prop_keys - ignore 

 

if any(all(kw.get(k, None) is None for kw in kwargs) 

for k in prop_keys): 

# Need to copy this dictionary or else the next time around 

# in the cycle, the dictionary could be missing entries. 

default_dict = next(self.prop_cycler).copy() 

for p in ignore: 

default_dict.pop(p, None) 

else: 

default_dict = {} 

return default_dict 

 

def _setdefaults(self, defaults, *kwargs): 

""" 

Given a defaults dictionary, and any other dictionaries, 

update those other dictionaries with information in defaults if 

none of the other dictionaries contains that information. 

 

""" 

for k in defaults: 

if all(kw.get(k, None) is None for kw in kwargs): 

for kw in kwargs: 

kw[k] = defaults[k] 

 

def _makeline(self, x, y, kw, kwargs): 

kw = {**kw, **kwargs} # Don't modify the original kw. 

default_dict = self._getdefaults(None, kw) 

self._setdefaults(default_dict, kw) 

seg = mlines.Line2D(x, y, **kw) 

return seg 

 

def _makefill(self, x, y, kw, kwargs): 

kw = kw.copy() # Don't modify the original kw. 

kwargs = kwargs.copy() 

 

# Ignore 'marker'-related properties as they aren't Polygon 

# properties, but they are Line2D properties, and so they are 

# likely to appear in the default cycler construction. 

# This is done here to the defaults dictionary as opposed to the 

# other two dictionaries because we do want to capture when a 

# *user* explicitly specifies a marker which should be an error. 

# We also want to prevent advancing the cycler if there are no 

# defaults needed after ignoring the given properties. 

ignores = {'marker', 'markersize', 'markeredgecolor', 

'markerfacecolor', 'markeredgewidth'} 

# Also ignore anything provided by *kwargs*. 

for k, v in kwargs.items(): 

if v is not None: 

ignores.add(k) 

 

# Only using the first dictionary to use as basis 

# for getting defaults for back-compat reasons. 

# Doing it with both seems to mess things up in 

# various places (probably due to logic bugs elsewhere). 

default_dict = self._getdefaults(ignores, kw) 

self._setdefaults(default_dict, kw) 

 

# Looks like we don't want "color" to be interpreted to 

# mean both facecolor and edgecolor for some reason. 

# So the "kw" dictionary is thrown out, and only its 

# 'color' value is kept and translated as a 'facecolor'. 

# This design should probably be revisited as it increases 

# complexity. 

facecolor = kw.get('color', None) 

 

# Throw out 'color' as it is now handled as a facecolor 

default_dict.pop('color', None) 

 

# To get other properties set from the cycler 

# modify the kwargs dictionary. 

self._setdefaults(default_dict, kwargs) 

 

seg = mpatches.Polygon(np.column_stack((x, y)), 

facecolor=facecolor, 

fill=kwargs.get('fill', True), 

closed=kw['closed']) 

self.set_patchprops(seg, **kwargs) 

return seg 

 

def _plot_args(self, tup, kwargs): 

ret = [] 

if len(tup) > 1 and isinstance(tup[-1], str): 

linestyle, marker, color = _process_plot_format(tup[-1]) 

tup = tup[:-1] 

elif len(tup) == 3: 

raise ValueError('third arg must be a format string') 

else: 

linestyle, marker, color = None, None, None 

 

# Don't allow any None value; These will be up-converted 

# to one element array of None which causes problems 

# downstream. 

if any(v is None for v in tup): 

raise ValueError("x, y, and format string must not be None") 

 

kw = {} 

for k, v in zip(('linestyle', 'marker', 'color'), 

(linestyle, marker, color)): 

if v is not None: 

kw[k] = v 

 

if 'label' not in kwargs or kwargs['label'] is None: 

kwargs['label'] = get_label(tup[-1], None) 

 

if len(tup) == 2: 

x = _check_1d(tup[0]) 

y = _check_1d(tup[-1]) 

else: 

x, y = index_of(tup[-1]) 

 

x, y = self._xy_from_xy(x, y) 

 

if self.command == 'plot': 

func = self._makeline 

else: 

kw['closed'] = kwargs.get('closed', True) 

func = self._makefill 

 

ncx, ncy = x.shape[1], y.shape[1] 

if ncx > 1 and ncy > 1 and ncx != ncy: 

cbook.warn_deprecated("2.2", "cycling among columns of inputs " 

"with non-matching shapes is deprecated.") 

for j in range(max(ncx, ncy)): 

seg = func(x[:, j % ncx], y[:, j % ncy], kw, kwargs) 

ret.append(seg) 

return ret 

 

def _grab_next_args(self, *args, **kwargs): 

while args: 

this, args = args[:2], args[2:] 

if args and isinstance(args[0], str): 

this += args[0], 

args = args[1:] 

yield from self._plot_args(this, kwargs) 

 

 

class _AxesBase(martist.Artist): 

""" 

""" 

name = "rectilinear" 

 

_shared_x_axes = cbook.Grouper() 

_shared_y_axes = cbook.Grouper() 

_twinned_axes = cbook.Grouper() 

 

@property 

def _hold(self): 

return True 

 

@_hold.setter 

def _hold(self, value): 

pass 

 

def __str__(self): 

return "{0}({1[0]:g},{1[1]:g};{1[2]:g}x{1[3]:g})".format( 

type(self).__name__, self._position.bounds) 

 

def __init__(self, fig, rect, 

facecolor=None, # defaults to rc axes.facecolor 

frameon=True, 

sharex=None, # use Axes instance's xaxis info 

sharey=None, # use Axes instance's yaxis info 

label='', 

xscale=None, 

yscale=None, 

**kwargs 

): 

""" 

Build an axes in a figure. 

 

Parameters 

---------- 

fig : `~matplotlib.figure.Figure` 

The axes is build in the `.Figure` *fig*. 

 

rect : [left, bottom, width, height] 

The axes is build in the rectangle *rect*. *rect* is in 

`.Figure` coordinates. 

 

sharex, sharey : `~.axes.Axes`, optional 

The x or y `~.matplotlib.axis` is shared with the x or 

y axis in the input `~.axes.Axes`. 

 

frameon : bool, optional 

True means that the axes frame is visible. 

 

**kwargs 

Other optional keyword arguments: 

%(Axes)s 

 

Returns 

------- 

axes : `~.axes.Axes` 

The new `~.axes.Axes` object. 

""" 

 

martist.Artist.__init__(self) 

if isinstance(rect, mtransforms.Bbox): 

self._position = rect 

else: 

self._position = mtransforms.Bbox.from_bounds(*rect) 

if self._position.width < 0 or self._position.height < 0: 

raise ValueError('Width and height specified must be non-negative') 

self._originalPosition = self._position.frozen() 

self.axes = self 

self._aspect = 'auto' 

self._adjustable = 'box' 

self._anchor = 'C' 

self._sharex = sharex 

self._sharey = sharey 

if sharex is not None: 

self._shared_x_axes.join(self, sharex) 

if sharey is not None: 

self._shared_y_axes.join(self, sharey) 

self.set_label(label) 

self.set_figure(fig) 

 

self.set_axes_locator(kwargs.get("axes_locator", None)) 

 

self.spines = self._gen_axes_spines() 

 

# this call may differ for non-sep axes, e.g., polar 

self._init_axis() 

if facecolor is None: 

facecolor = rcParams['axes.facecolor'] 

self._facecolor = facecolor 

self._frameon = frameon 

self.set_axisbelow(rcParams['axes.axisbelow']) 

 

self._rasterization_zorder = None 

self._connected = {} # a dict from events to (id, func) 

self.cla() 

 

# funcs used to format x and y - fall back on major formatters 

self.fmt_xdata = None 

self.fmt_ydata = None 

 

self._cachedRenderer = None 

self.set_navigate(True) 

self.set_navigate_mode(None) 

 

if xscale: 

self.set_xscale(xscale) 

if yscale: 

self.set_yscale(yscale) 

 

self.update(kwargs) 

 

if self.xaxis is not None: 

self._xcid = self.xaxis.callbacks.connect( 

'units finalize', lambda: self._on_units_changed(scalex=True)) 

 

if self.yaxis is not None: 

self._ycid = self.yaxis.callbacks.connect( 

'units finalize', lambda: self._on_units_changed(scaley=True)) 

 

self.tick_params( 

top=rcParams['xtick.top'] and rcParams['xtick.minor.top'], 

bottom=rcParams['xtick.bottom'] and rcParams['xtick.minor.bottom'], 

labeltop=(rcParams['xtick.labeltop'] and 

rcParams['xtick.minor.top']), 

labelbottom=(rcParams['xtick.labelbottom'] and 

rcParams['xtick.minor.bottom']), 

left=rcParams['ytick.left'] and rcParams['ytick.minor.left'], 

right=rcParams['ytick.right'] and rcParams['ytick.minor.right'], 

labelleft=(rcParams['ytick.labelleft'] and 

rcParams['ytick.minor.left']), 

labelright=(rcParams['ytick.labelright'] and 

rcParams['ytick.minor.right']), 

which='minor') 

 

self.tick_params( 

top=rcParams['xtick.top'] and rcParams['xtick.major.top'], 

bottom=rcParams['xtick.bottom'] and rcParams['xtick.major.bottom'], 

labeltop=(rcParams['xtick.labeltop'] and 

rcParams['xtick.major.top']), 

labelbottom=(rcParams['xtick.labelbottom'] and 

rcParams['xtick.major.bottom']), 

left=rcParams['ytick.left'] and rcParams['ytick.major.left'], 

right=rcParams['ytick.right'] and rcParams['ytick.major.right'], 

labelleft=(rcParams['ytick.labelleft'] and 

rcParams['ytick.major.left']), 

labelright=(rcParams['ytick.labelright'] and 

rcParams['ytick.major.right']), 

which='major') 

 

self._layoutbox = None 

self._poslayoutbox = None 

 

def __getstate__(self): 

# The renderer should be re-created by the figure, and then cached at 

# that point. 

state = super().__getstate__() 

for key in ['_cachedRenderer', '_layoutbox', '_poslayoutbox']: 

state[key] = None 

# Prune the sharing & twinning info to only contain the current group. 

for grouper_name in [ 

'_shared_x_axes', '_shared_y_axes', '_twinned_axes']: 

grouper = getattr(self, grouper_name) 

state[grouper_name] = (grouper.get_siblings(self) 

if self in grouper else None) 

return state 

 

def __setstate__(self, state): 

# Merge the grouping info back into the global groupers. 

for grouper_name in [ 

'_shared_x_axes', '_shared_y_axes', '_twinned_axes']: 

siblings = state.pop(grouper_name) 

if siblings: 

getattr(self, grouper_name).join(*siblings) 

self.__dict__ = state 

self._stale = True 

 

def get_window_extent(self, *args, **kwargs): 

""" 

get the axes bounding box in display space; *args* and 

*kwargs* are empty 

""" 

bbox = self.bbox 

x_pad = 0 

if self.axison and self.xaxis.get_visible(): 

x_pad = self.xaxis.get_tick_padding() 

y_pad = 0 

if self.axison and self.yaxis.get_visible(): 

y_pad = self.yaxis.get_tick_padding() 

return mtransforms.Bbox([[bbox.x0 - x_pad, bbox.y0 - y_pad], 

[bbox.x1 + x_pad, bbox.y1 + y_pad]]) 

 

def _init_axis(self): 

"move this out of __init__ because non-separable axes don't use it" 

self.xaxis = maxis.XAxis(self) 

self.spines['bottom'].register_axis(self.xaxis) 

self.spines['top'].register_axis(self.xaxis) 

self.yaxis = maxis.YAxis(self) 

self.spines['left'].register_axis(self.yaxis) 

self.spines['right'].register_axis(self.yaxis) 

self._update_transScale() 

 

def set_figure(self, fig): 

""" 

Set the `.Figure` for this `.Axes`. 

 

Parameters 

---------- 

fig : `.Figure` 

""" 

martist.Artist.set_figure(self, fig) 

 

self.bbox = mtransforms.TransformedBbox(self._position, 

fig.transFigure) 

# these will be updated later as data is added 

self.dataLim = mtransforms.Bbox.null() 

self.viewLim = mtransforms.Bbox.unit() 

self.transScale = mtransforms.TransformWrapper( 

mtransforms.IdentityTransform()) 

 

self._set_lim_and_transforms() 

 

def _set_lim_and_transforms(self): 

""" 

set the *_xaxis_transform*, *_yaxis_transform*, 

*transScale*, *transData*, *transLimits* and *transAxes* 

transformations. 

 

.. note:: 

 

This method is primarily used by rectilinear projections 

of the :class:`~matplotlib.axes.Axes` class, and is meant 

to be overridden by new kinds of projection axes that need 

different transformations and limits. (See 

:class:`~matplotlib.projections.polar.PolarAxes` for an 

example. 

 

""" 

self.transAxes = mtransforms.BboxTransformTo(self.bbox) 

 

# Transforms the x and y axis separately by a scale factor. 

# It is assumed that this part will have non-linear components 

# (e.g., for a log scale). 

self.transScale = mtransforms.TransformWrapper( 

mtransforms.IdentityTransform()) 

 

# An affine transformation on the data, generally to limit the 

# range of the axes 

self.transLimits = mtransforms.BboxTransformFrom( 

mtransforms.TransformedBbox(self.viewLim, self.transScale)) 

 

# The parentheses are important for efficiency here -- they 

# group the last two (which are usually affines) separately 

# from the first (which, with log-scaling can be non-affine). 

self.transData = self.transScale + (self.transLimits + self.transAxes) 

 

self._xaxis_transform = mtransforms.blended_transform_factory( 

self.transData, self.transAxes) 

self._yaxis_transform = mtransforms.blended_transform_factory( 

self.transAxes, self.transData) 

 

def get_xaxis_transform(self, which='grid'): 

""" 

Get the transformation used for drawing x-axis labels, ticks 

and gridlines. The x-direction is in data coordinates and the 

y-direction is in axis coordinates. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

if which == 'grid': 

return self._xaxis_transform 

elif which == 'tick1': 

# for cartesian projection, this is bottom spine 

return self.spines['bottom'].get_spine_transform() 

elif which == 'tick2': 

# for cartesian projection, this is top spine 

return self.spines['top'].get_spine_transform() 

else: 

raise ValueError('unknown value for which') 

 

def get_xaxis_text1_transform(self, pad_points): 

""" 

Get the transformation used for drawing x-axis labels, which 

will add the given amount of padding (in points) between the 

axes and the label. The x-direction is in data coordinates 

and the y-direction is in axis coordinates. Returns a 

3-tuple of the form:: 

 

(transform, valign, halign) 

 

where *valign* and *halign* are requested alignments for the 

text. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

labels_align = matplotlib.rcParams["xtick.alignment"] 

 

return (self.get_xaxis_transform(which='tick1') + 

mtransforms.ScaledTranslation(0, -1 * pad_points / 72, 

self.figure.dpi_scale_trans), 

"top", labels_align) 

 

def get_xaxis_text2_transform(self, pad_points): 

""" 

Get the transformation used for drawing the secondary x-axis 

labels, which will add the given amount of padding (in points) 

between the axes and the label. The x-direction is in data 

coordinates and the y-direction is in axis coordinates. 

Returns a 3-tuple of the form:: 

 

(transform, valign, halign) 

 

where *valign* and *halign* are requested alignments for the 

text. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

labels_align = matplotlib.rcParams["xtick.alignment"] 

return (self.get_xaxis_transform(which='tick2') + 

mtransforms.ScaledTranslation(0, pad_points / 72, 

self.figure.dpi_scale_trans), 

"bottom", labels_align) 

 

def get_yaxis_transform(self, which='grid'): 

""" 

Get the transformation used for drawing y-axis labels, ticks 

and gridlines. The x-direction is in axis coordinates and the 

y-direction is in data coordinates. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

if which == 'grid': 

return self._yaxis_transform 

elif which == 'tick1': 

# for cartesian projection, this is bottom spine 

return self.spines['left'].get_spine_transform() 

elif which == 'tick2': 

# for cartesian projection, this is top spine 

return self.spines['right'].get_spine_transform() 

else: 

raise ValueError('unknown value for which') 

 

def get_yaxis_text1_transform(self, pad_points): 

""" 

Get the transformation used for drawing y-axis labels, which 

will add the given amount of padding (in points) between the 

axes and the label. The x-direction is in axis coordinates 

and the y-direction is in data coordinates. Returns a 3-tuple 

of the form:: 

 

(transform, valign, halign) 

 

where *valign* and *halign* are requested alignments for the 

text. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

labels_align = matplotlib.rcParams["ytick.alignment"] 

return (self.get_yaxis_transform(which='tick1') + 

mtransforms.ScaledTranslation(-1 * pad_points / 72, 0, 

self.figure.dpi_scale_trans), 

labels_align, "right") 

 

def get_yaxis_text2_transform(self, pad_points): 

""" 

Get the transformation used for drawing the secondary y-axis 

labels, which will add the given amount of padding (in points) 

between the axes and the label. The x-direction is in axis 

coordinates and the y-direction is in data coordinates. 

Returns a 3-tuple of the form:: 

 

(transform, valign, halign) 

 

where *valign* and *halign* are requested alignments for the 

text. 

 

.. note:: 

 

This transformation is primarily used by the 

:class:`~matplotlib.axis.Axis` class, and is meant to be 

overridden by new kinds of projections that may need to 

place axis elements in different locations. 

 

""" 

labels_align = matplotlib.rcParams["ytick.alignment"] 

 

return (self.get_yaxis_transform(which='tick2') + 

mtransforms.ScaledTranslation(pad_points / 72, 0, 

self.figure.dpi_scale_trans), 

labels_align, "left") 

 

def _update_transScale(self): 

self.transScale.set( 

mtransforms.blended_transform_factory( 

self.xaxis.get_transform(), self.yaxis.get_transform())) 

for line in getattr(self, "lines", []): # Not set during init. 

try: 

line._transformed_path.invalidate() 

except AttributeError: 

pass 

 

def get_position(self, original=False): 

""" 

Get a copy of the axes rectangle as a `.Bbox`. 

 

Parameters 

---------- 

original : bool 

If ``True``, return the original position. Otherwise return the 

active position. For an explanation of the positions see 

`.set_position`. 

 

Returns 

------- 

pos : `.Bbox` 

 

""" 

if original: 

return self._originalPosition.frozen() 

else: 

locator = self.get_axes_locator() 

if not locator: 

self.apply_aspect() 

return self._position.frozen() 

 

def set_position(self, pos, which='both'): 

""" 

Set the axes position. 

 

Axes have two position attributes. The 'original' position is the 

position allocated for the Axes. The 'active' position is the 

position the Axes is actually drawn at. These positions are usually 

the same unless a fixed aspect is set to the Axes. See `.set_aspect` 

for details. 

 

Parameters 

---------- 

pos : [left, bottom, width, height] or `~matplotlib.transforms.Bbox` 

The new position of the in `.Figure` coordinates. 

 

which : {'both', 'active', 'original'}, optional 

Determines which position variables to change. 

 

""" 

self._set_position(pos, which=which) 

# because this is being called externally to the library we 

# zero the constrained layout parts. 

self._layoutbox = None 

self._poslayoutbox = None 

 

def _set_position(self, pos, which='both'): 

""" 

private version of set_position. Call this internally 

to get the same functionality of `get_position`, but not 

to take the axis out of the constrained_layout 

hierarchy. 

""" 

if not isinstance(pos, mtransforms.BboxBase): 

pos = mtransforms.Bbox.from_bounds(*pos) 

for ax in self._twinned_axes.get_siblings(self): 

if which in ('both', 'active'): 

ax._position.set(pos) 

if which in ('both', 'original'): 

ax._originalPosition.set(pos) 

self.stale = True 

 

def reset_position(self): 

""" 

Reset the active position to the original position. 

 

This resets the a possible position change due to aspect constraints. 

For an explanation of the positions see `.set_position`. 

""" 

for ax in self._twinned_axes.get_siblings(self): 

pos = ax.get_position(original=True) 

ax.set_position(pos, which='active') 

 

def set_axes_locator(self, locator): 

""" 

Set the axes locator. 

 

Parameters 

---------- 

locator : Callable[[Axes, Renderer], Bbox] 

""" 

self._axes_locator = locator 

self.stale = True 

 

def get_axes_locator(self): 

""" 

Return the axes_locator. 

""" 

return self._axes_locator 

 

def _set_artist_props(self, a): 

"""set the boilerplate props for artists added to axes""" 

a.set_figure(self.figure) 

if not a.is_transform_set(): 

a.set_transform(self.transData) 

 

a.axes = self 

if a.mouseover: 

self._mouseover_set.add(a) 

 

def _gen_axes_patch(self): 

""" 

Returns the patch used to draw the background of the axes. It 

is also used as the clipping path for any data elements on the 

axes. 

 

In the standard axes, this is a rectangle, but in other 

projections it may not be. 

 

.. note:: 

 

Intended to be overridden by new projection types. 

 

""" 

return mpatches.Rectangle((0.0, 0.0), 1.0, 1.0) 

 

def _gen_axes_spines(self, locations=None, offset=0.0, units='inches'): 

""" 

Returns a dict whose keys are spine names and values are 

Line2D or Patch instances. Each element is used to draw a 

spine of the axes. 

 

In the standard axes, this is a single line segment, but in 

other projections it may not be. 

 

.. note:: 

 

Intended to be overridden by new projection types. 

 

""" 

return OrderedDict((side, mspines.Spine.linear_spine(self, side)) 

for side in ['left', 'right', 'bottom', 'top']) 

 

def cla(self): 

"""Clear the current axes.""" 

# Note: this is called by Axes.__init__() 

 

# stash the current visibility state 

if hasattr(self, 'patch'): 

patch_visible = self.patch.get_visible() 

else: 

patch_visible = True 

 

xaxis_visible = self.xaxis.get_visible() 

yaxis_visible = self.yaxis.get_visible() 

 

self.xaxis.cla() 

self.yaxis.cla() 

 

for name, spine in self.spines.items(): 

spine.cla() 

 

self.ignore_existing_data_limits = True 

self.callbacks = cbook.CallbackRegistry() 

 

if self._sharex is not None: 

# major and minor are axis.Ticker class instances with 

# locator and formatter attributes 

self.xaxis.major = self._sharex.xaxis.major 

self.xaxis.minor = self._sharex.xaxis.minor 

x0, x1 = self._sharex.get_xlim() 

self.set_xlim(x0, x1, emit=False, 

auto=self._sharex.get_autoscalex_on()) 

self.xaxis._scale = mscale.scale_factory( 

self._sharex.xaxis.get_scale(), self.xaxis) 

else: 

self.xaxis._set_scale('linear') 

try: 

self.set_xlim(0, 1) 

except TypeError: 

pass 

 

if self._sharey is not None: 

self.yaxis.major = self._sharey.yaxis.major 

self.yaxis.minor = self._sharey.yaxis.minor 

y0, y1 = self._sharey.get_ylim() 

self.set_ylim(y0, y1, emit=False, 

auto=self._sharey.get_autoscaley_on()) 

self.yaxis._scale = mscale.scale_factory( 

self._sharey.yaxis.get_scale(), self.yaxis) 

else: 

self.yaxis._set_scale('linear') 

try: 

self.set_ylim(0, 1) 

except TypeError: 

pass 

# update the minor locator for x and y axis based on rcParams 

if rcParams['xtick.minor.visible']: 

self.xaxis.set_minor_locator(mticker.AutoMinorLocator()) 

 

if rcParams['ytick.minor.visible']: 

self.yaxis.set_minor_locator(mticker.AutoMinorLocator()) 

 

if self._sharex is None: 

self._autoscaleXon = True 

if self._sharey is None: 

self._autoscaleYon = True 

self._xmargin = rcParams['axes.xmargin'] 

self._ymargin = rcParams['axes.ymargin'] 

self._tight = None 

self._use_sticky_edges = True 

self._update_transScale() # needed? 

 

self._get_lines = _process_plot_var_args(self) 

self._get_patches_for_fill = _process_plot_var_args(self, 'fill') 

 

self._gridOn = rcParams['axes.grid'] 

self.lines = [] 

self.patches = [] 

self.texts = [] 

self.tables = [] 

self.artists = [] 

self.images = [] 

self._mouseover_set = _OrderedSet() 

self.child_axes = [] 

self._current_image = None # strictly for pyplot via _sci, _gci 

self.legend_ = None 

self.collections = [] # collection.Collection instances 

self.containers = [] 

 

self.grid(False) # Disable grid on init to use rcParameter 

self.grid(self._gridOn, which=rcParams['axes.grid.which'], 

axis=rcParams['axes.grid.axis']) 

props = font_manager.FontProperties( 

size=rcParams['axes.titlesize'], 

weight=rcParams['axes.titleweight']) 

 

self.title = mtext.Text( 

x=0.5, y=1.0, text='', 

fontproperties=props, 

verticalalignment='baseline', 

horizontalalignment='center', 

) 

self._left_title = mtext.Text( 

x=0.0, y=1.0, text='', 

fontproperties=props.copy(), 

verticalalignment='baseline', 

horizontalalignment='left', ) 

self._right_title = mtext.Text( 

x=1.0, y=1.0, text='', 

fontproperties=props.copy(), 

verticalalignment='baseline', 

horizontalalignment='right', 

) 

title_offset_points = rcParams['axes.titlepad'] 

# refactor this out so it can be called in ax.set_title if 

# pad argument used... 

self._set_title_offset_trans(title_offset_points) 

# determine if the title position has been set manually: 

self._autotitlepos = None 

 

for _title in (self.title, self._left_title, self._right_title): 

self._set_artist_props(_title) 

 

# The patch draws the background of the axes. We want this to be below 

# the other artists. We use the frame to draw the edges so we are 

# setting the edgecolor to None. 

self.patch = self._gen_axes_patch() 

self.patch.set_figure(self.figure) 

self.patch.set_facecolor(self._facecolor) 

self.patch.set_edgecolor('None') 

self.patch.set_linewidth(0) 

self.patch.set_transform(self.transAxes) 

 

self.set_axis_on() 

 

self.xaxis.set_clip_path(self.patch) 

self.yaxis.set_clip_path(self.patch) 

 

self._shared_x_axes.clean() 

self._shared_y_axes.clean() 

if self._sharex: 

self.xaxis.set_visible(xaxis_visible) 

self.patch.set_visible(patch_visible) 

 

if self._sharey: 

self.yaxis.set_visible(yaxis_visible) 

self.patch.set_visible(patch_visible) 

 

self.stale = True 

 

@property 

@cbook.deprecated("3.0") 

def mouseover_set(self): 

return frozenset(self._mouseover_set) 

 

def clear(self): 

"""Clear the axes.""" 

self.cla() 

 

def get_facecolor(self): 

"""Get the facecolor of the Axes.""" 

return self.patch.get_facecolor() 

get_fc = get_facecolor 

 

def set_facecolor(self, color): 

""" 

Set the facecolor of the Axes. 

 

Parameters 

---------- 

color : color 

""" 

self._facecolor = color 

self.stale = True 

return self.patch.set_facecolor(color) 

set_fc = set_facecolor 

 

def _set_title_offset_trans(self, title_offset_points): 

""" 

Set the offset for the title either from rcParams['axes.titlepad'] 

or from set_title kwarg ``pad``. 

""" 

self.titleOffsetTrans = mtransforms.ScaledTranslation( 

0.0, title_offset_points / 72, 

self.figure.dpi_scale_trans) 

for _title in (self.title, self._left_title, self._right_title): 

_title.set_transform(self.transAxes + self.titleOffsetTrans) 

_title.set_clip_box(None) 

 

def set_prop_cycle(self, *args, **kwargs): 

""" 

Set the property cycle of the Axes. 

 

The property cycle controls the style properties such as color, 

marker and linestyle of future plot commands. The style properties 

of data already added to the Axes are not modified. 

 

Call signatures:: 

 

set_prop_cycle(cycler) 

set_prop_cycle(label=values[, label2=values2[, ...]]) 

set_prop_cycle(label, values) 

 

Form 1 sets given `~cycler.Cycler` object. 

 

Form 2 creates a `~cycler.Cycler` which cycles over one or more 

properties simultaneously and set it as the property cycle of the 

axes. If multiple properties are given, their value lists must have 

the same length. This is just a shortcut for explicitly creating a 

cycler and passing it to the function, i.e. it's short for 

``set_prop_cycle(cycler(label=values label2=values2, ...))``. 

 

Form 3 creates a `~cycler.Cycler` for a single property and set it 

as the property cycle of the axes. This form exists for compatibility 

with the original `cycler.cycler` interface. Its use is discouraged 

in favor of the kwarg form, i.e. ``set_prop_cycle(label=values)``. 

 

Parameters 

---------- 

cycler : Cycler 

Set the given Cycler. *None* resets to the cycle defined by the 

current style. 

 

label : str 

The property key. Must be a valid `.Artist` property. 

For example, 'color' or 'linestyle'. Aliases are allowed, 

such as 'c' for 'color' and 'lw' for 'linewidth'. 

 

values : iterable 

Finite-length iterable of the property values. These values 

are validated and will raise a ValueError if invalid. 

 

Examples 

-------- 

Setting the property cycle for a single property: 

 

>>> ax.set_prop_cycle(color=['red', 'green', 'blue']) 

 

Setting the property cycle for simultaneously cycling over multiple 

properties (e.g. red circle, green plus, blue cross): 

 

>>> ax.set_prop_cycle(color=['red', 'green', 'blue'], 

... marker=['o', '+', 'x']) 

 

See Also 

-------- 

matplotlib.rcsetup.cycler 

Convenience function for creating validated cyclers for properties. 

cycler.cycler 

The original function for creating unvalidated cyclers. 

 

""" 

if args and kwargs: 

raise TypeError("Cannot supply both positional and keyword " 

"arguments to this method.") 

# Can't do `args == (None,)` as that crashes cycler. 

if len(args) == 1 and args[0] is None: 

prop_cycle = None 

else: 

prop_cycle = cycler(*args, **kwargs) 

self._get_lines.set_prop_cycle(prop_cycle) 

self._get_patches_for_fill.set_prop_cycle(prop_cycle) 

 

def get_aspect(self): 

return self._aspect 

 

def set_aspect(self, aspect, adjustable=None, anchor=None, share=False): 

""" 

Set the aspect of the axis scaling, i.e. the ratio of y-unit to x-unit. 

 

Parameters 

---------- 

aspect : {'auto', 'equal'} or num 

Possible values: 

 

======== ================================================ 

value description 

======== ================================================ 

'auto' automatic; fill the position rectangle with data 

'equal' same scaling from data to plot units for x and y 

num a circle will be stretched such that the height 

is num times the width. aspect=1 is the same as 

aspect='equal'. 

======== ================================================ 

 

adjustable : None or {'box', 'datalim'}, optional 

If not ``None``, this defines which parameter will be adjusted to 

meet the required aspect. See `.set_adjustable` for further 

details. 

 

anchor : None or str or 2-tuple of float, optional 

If not ``None``, this defines where the Axes will be drawn if there 

is extra space due to aspect constraints. The most common way to 

to specify the anchor are abbreviations of cardinal directions: 

 

===== ===================== 

value description 

===== ===================== 

'C' centered 

'SW' lower left corner 

'S' middle of bottom edge 

'SE' lower right corner 

etc. 

===== ===================== 

 

See `.set_anchor` for further details. 

 

share : bool, optional 

If ``True``, apply the settings to all shared Axes. 

Default is ``False``. 

 

See Also 

-------- 

matplotlib.axes.Axes.set_adjustable 

defining the parameter to adjust in order to meet the required 

aspect. 

matplotlib.axes.Axes.set_anchor 

defining the position in case of extra space. 

""" 

if not (isinstance(aspect, str) and aspect in ('equal', 'auto')): 

aspect = float(aspect) # raise ValueError if necessary 

if share: 

axes = set(self._shared_x_axes.get_siblings(self) 

+ self._shared_y_axes.get_siblings(self)) 

else: 

axes = [self] 

for ax in axes: 

ax._aspect = aspect 

 

if adjustable is None: 

adjustable = self._adjustable 

self.set_adjustable(adjustable, share=share) # Handle sharing. 

 

if anchor is not None: 

self.set_anchor(anchor, share=share) 

self.stale = True 

 

def get_adjustable(self): 

return self._adjustable 

 

def set_adjustable(self, adjustable, share=False): 

""" 

Define which parameter the Axes will change to achieve a given aspect. 

 

Parameters 

---------- 

adjustable : {'box', 'datalim'} 

If 'box', change the physical dimensions of the Axes. 

If 'datalim', change the ``x`` or ``y`` data limits. 

 

share : bool, optional 

If ``True``, apply the settings to all shared Axes. 

Default is ``False``. 

 

See Also 

-------- 

matplotlib.axes.Axes.set_aspect 

for a description of aspect handling. 

 

Notes 

----- 

Shared Axes (of which twinned Axes are a special case) 

impose restrictions on how aspect ratios can be imposed. 

For twinned Axes, use 'datalim'. For Axes that share both 

x and y, use 'box'. Otherwise, either 'datalim' or 'box' 

may be used. These limitations are partly a requirement 

to avoid over-specification, and partly a result of the 

particular implementation we are currently using, in 

which the adjustments for aspect ratios are done sequentially 

and independently on each Axes as it is drawn. 

""" 

if adjustable == 'box-forced': 

cbook.warn_deprecated( 

"2.2", "box-forced", obj_type="keyword argument") 

if adjustable not in ('box', 'datalim', 'box-forced'): 

raise ValueError("argument must be 'box', or 'datalim'") 

if share: 

axes = set(self._shared_x_axes.get_siblings(self) 

+ self._shared_y_axes.get_siblings(self)) 

else: 

axes = [self] 

for ax in axes: 

ax._adjustable = adjustable 

self.stale = True 

 

def get_anchor(self): 

""" 

Get the anchor location. 

 

See Also 

-------- 

matplotlib.axes.Axes.set_anchor 

for a description of the anchor. 

matplotlib.axes.Axes.set_aspect 

for a description of aspect handling. 

""" 

return self._anchor 

 

def set_anchor(self, anchor, share=False): 

""" 

Define the anchor location. 

 

The actual drawing area (active position) of the Axes may be smaller 

than the Bbox (original position) when a fixed aspect is required. The 

anchor defines where the drawing area will be located within the 

available space. 

 

Parameters 

---------- 

anchor : 2-tuple of floats or {'C', 'SW', 'S', 'SE', ...} 

The anchor position may be either: 

 

- a sequence (*cx*, *cy*). *cx* and *cy* may range from 0 

to 1, where 0 is left or bottom and 1 is right or top. 

 

- a string using cardinal directions as abbreviation: 

 

- 'C' for centered 

- 'S' (south) for bottom-center 

- 'SW' (south west) for bottom-left 

- etc. 

 

Here is an overview of the possible positions: 

 

+------+------+------+ 

| 'NW' | 'N' | 'NE' | 

+------+------+------+ 

| 'W' | 'C' | 'E' | 

+------+------+------+ 

| 'SW' | 'S' | 'SE' | 

+------+------+------+ 

 

share : bool, optional 

If ``True``, apply the settings to all shared Axes. 

Default is ``False``. 

 

See Also 

-------- 

matplotlib.axes.Axes.set_aspect 

for a description of aspect handling. 

""" 

if not (anchor in mtransforms.Bbox.coefs or len(anchor) == 2): 

raise ValueError('argument must be among %s' % 

', '.join(mtransforms.Bbox.coefs)) 

if share: 

axes = set(self._shared_x_axes.get_siblings(self) 

+ self._shared_y_axes.get_siblings(self)) 

else: 

axes = [self] 

for ax in axes: 

ax._anchor = anchor 

 

self.stale = True 

 

def get_data_ratio(self): 

""" 

Returns the aspect ratio of the raw data. 

 

This method is intended to be overridden by new projection 

types. 

""" 

xmin, xmax = self.get_xbound() 

ymin, ymax = self.get_ybound() 

 

xsize = max(abs(xmax - xmin), 1e-30) 

ysize = max(abs(ymax - ymin), 1e-30) 

 

return ysize / xsize 

 

def get_data_ratio_log(self): 

""" 

Returns the aspect ratio of the raw data in log scale. 

Will be used when both axis scales are in log. 

""" 

xmin, xmax = self.get_xbound() 

ymin, ymax = self.get_ybound() 

 

xsize = max(abs(math.log10(xmax) - math.log10(xmin)), 1e-30) 

ysize = max(abs(math.log10(ymax) - math.log10(ymin)), 1e-30) 

 

return ysize / xsize 

 

def apply_aspect(self, position=None): 

""" 

Adjust the Axes for a specified data aspect ratio. 

 

Depending on `.get_adjustable` this will modify either the Axes box 

(position) or the view limits. In the former case, `.get_anchor` 

will affect the position. 

 

Notes 

----- 

This is called automatically when each Axes is drawn. You may need 

to call it yourself if you need to update the Axes position and/or 

view limits before the Figure is drawn. 

 

See Also 

-------- 

matplotlib.axes.Axes.set_aspect 

for a description of aspect ratio handling. 

matplotlib.axes.Axes.set_adjustable 

defining the parameter to adjust in order to meet the required 

aspect. 

matplotlib.axes.Axes.set_anchor 

defining the position in case of extra space. 

""" 

if position is None: 

position = self.get_position(original=True) 

 

aspect = self.get_aspect() 

 

if self.name != 'polar': 

xscale, yscale = self.get_xscale(), self.get_yscale() 

if xscale == "linear" and yscale == "linear": 

aspect_scale_mode = "linear" 

elif xscale == "log" and yscale == "log": 

aspect_scale_mode = "log" 

elif ((xscale == "linear" and yscale == "log") or 

(xscale == "log" and yscale == "linear")): 

if aspect != "auto": 

warnings.warn( 

'aspect is not supported for Axes with xscale=%s, ' 

'yscale=%s' % (xscale, yscale), stacklevel=2) 

aspect = "auto" 

else: # some custom projections have their own scales. 

pass 

else: 

aspect_scale_mode = "linear" 

 

if aspect == 'auto': 

self._set_position(position, which='active') 

return 

 

if aspect == 'equal': 

A = 1 

else: 

A = aspect 

 

figW, figH = self.get_figure().get_size_inches() 

fig_aspect = figH / figW 

if self._adjustable in ['box', 'box-forced']: 

if self in self._twinned_axes: 

raise RuntimeError("Adjustable 'box' is not allowed in a" 

" twinned Axes. Use 'datalim' instead.") 

if aspect_scale_mode == "log": 

box_aspect = A * self.get_data_ratio_log() 

else: 

box_aspect = A * self.get_data_ratio() 

pb = position.frozen() 

pb1 = pb.shrunk_to_aspect(box_aspect, pb, fig_aspect) 

self._set_position(pb1.anchored(self.get_anchor(), pb), 'active') 

return 

 

# reset active to original in case it had been changed 

# by prior use of 'box' 

self._set_position(position, which='active') 

 

xmin, xmax = self.get_xbound() 

ymin, ymax = self.get_ybound() 

 

if aspect_scale_mode == "log": 

xmin, xmax = math.log10(xmin), math.log10(xmax) 

ymin, ymax = math.log10(ymin), math.log10(ymax) 

 

xsize = max(abs(xmax - xmin), 1e-30) 

ysize = max(abs(ymax - ymin), 1e-30) 

 

l, b, w, h = position.bounds 

box_aspect = fig_aspect * (h / w) 

data_ratio = box_aspect / A 

 

y_expander = (data_ratio * xsize / ysize - 1.0) 

# If y_expander > 0, the dy/dx viewLim ratio needs to increase 

if abs(y_expander) < 0.005: 

return 

 

if aspect_scale_mode == "log": 

dL = self.dataLim 

dL_width = math.log10(dL.x1) - math.log10(dL.x0) 

dL_height = math.log10(dL.y1) - math.log10(dL.y0) 

xr = 1.05 * dL_width 

yr = 1.05 * dL_height 

else: 

dL = self.dataLim 

xr = 1.05 * dL.width 

yr = 1.05 * dL.height 

 

xmarg = xsize - xr 

ymarg = ysize - yr 

Ysize = data_ratio * xsize 

Xsize = ysize / data_ratio 

Xmarg = Xsize - xr 

Ymarg = Ysize - yr 

# Setting these targets to, e.g., 0.05*xr does not seem to 

# help. 

xm = 0 

ym = 0 

 

shared_x = self in self._shared_x_axes 

shared_y = self in self._shared_y_axes 

# Not sure whether we need this check: 

if shared_x and shared_y: 

raise RuntimeError("adjustable='datalim' is not allowed when both" 

" axes are shared.") 

 

# If y is shared, then we are only allowed to change x, etc. 

if shared_y: 

adjust_y = False 

else: 

if xmarg > xm and ymarg > ym: 

adjy = ((Ymarg > 0 and y_expander < 0) or 

(Xmarg < 0 and y_expander > 0)) 

else: 

adjy = y_expander > 0 

adjust_y = shared_x or adjy # (Ymarg > xmarg) 

 

if adjust_y: 

yc = 0.5 * (ymin + ymax) 

y0 = yc - Ysize / 2.0 

y1 = yc + Ysize / 2.0 

if aspect_scale_mode == "log": 

self.set_ybound((10. ** y0, 10. ** y1)) 

else: 

self.set_ybound((y0, y1)) 

else: 

xc = 0.5 * (xmin + xmax) 

x0 = xc - Xsize / 2.0 

x1 = xc + Xsize / 2.0 

if aspect_scale_mode == "log": 

self.set_xbound((10. ** x0, 10. ** x1)) 

else: 

self.set_xbound((x0, x1)) 

 

def axis(self, *v, **kwargs): 

""" 

Convenience method to get or set some axis properties. 

 

Call signatures:: 

 

xmin, xmax, ymin, ymax = axis() 

xmin, xmax, ymin, ymax = axis(xmin, xmax, ymin, ymax) 

xmin, xmax, ymin, ymax = axis(option) 

xmin, xmax, ymin, ymax = axis(**kwargs) 

 

Parameters 

---------- 

xmin, ymin, xmax, ymax : float, optional 

The axis limits to be set. Either none or all of the limits must 

be given. 

 

option : str 

Possible values: 

 

======== ========================================================== 

Value Description 

======== ========================================================== 

'on' Turn on axis lines and labels. 

'off' Turn off axis lines and labels. 

'equal' Set equal scaling (i.e., make circles circular) by 

changing axis limits. 

'scaled' Set equal scaling (i.e., make circles circular) by 

changing dimensions of the plot box. 

'tight' Set limits just large enough to show all data. 

'auto' Automatic scaling (fill plot box with data). 

'normal' Same as 'auto'; deprecated. 

'image' 'scaled' with axis limits equal to data limits. 

'square' Square plot; similar to 'scaled', but initially forcing 

``xmax-xmin = ymax-ymin``. 

======== ========================================================== 

 

emit : bool, optional, default *True* 

Whether observers are notified of the axis limit change. 

This option is passed on to `~.Axes.set_xlim` and 

`~.Axes.set_ylim`. 

 

Returns 

------- 

xmin, xmax, ymin, ymax : float 

The axis limits. 

 

See also 

-------- 

matplotlib.axes.Axes.set_xlim 

matplotlib.axes.Axes.set_ylim 

""" 

 

if len(v) == len(kwargs) == 0: 

xmin, xmax = self.get_xlim() 

ymin, ymax = self.get_ylim() 

return xmin, xmax, ymin, ymax 

 

emit = kwargs.get('emit', True) 

 

if len(v) == 1 and isinstance(v[0], str): 

s = v[0].lower() 

if s == 'on': 

self.set_axis_on() 

elif s == 'off': 

self.set_axis_off() 

elif s in ('equal', 'tight', 'scaled', 'normal', 

'auto', 'image', 'square'): 

self.set_autoscale_on(True) 

self.set_aspect('auto') 

self.autoscale_view(tight=False) 

# self.apply_aspect() 

if s == 'equal': 

self.set_aspect('equal', adjustable='datalim') 

elif s == 'scaled': 

self.set_aspect('equal', adjustable='box', anchor='C') 

self.set_autoscale_on(False) # Req. by Mark Bakker 

elif s == 'tight': 

self.autoscale_view(tight=True) 

self.set_autoscale_on(False) 

elif s == 'image': 

self.autoscale_view(tight=True) 

self.set_autoscale_on(False) 

self.set_aspect('equal', adjustable='box', anchor='C') 

elif s == 'square': 

self.set_aspect('equal', adjustable='box', anchor='C') 

self.set_autoscale_on(False) 

xlim = self.get_xlim() 

ylim = self.get_ylim() 

edge_size = max(np.diff(xlim), np.diff(ylim)) 

self.set_xlim([xlim[0], xlim[0] + edge_size], 

emit=emit, auto=False) 

self.set_ylim([ylim[0], ylim[0] + edge_size], 

emit=emit, auto=False) 

else: 

raise ValueError('Unrecognized string %s to axis; ' 

'try on or off' % s) 

xmin, xmax = self.get_xlim() 

ymin, ymax = self.get_ylim() 

return xmin, xmax, ymin, ymax 

 

try: 

v[0] 

except IndexError: 

xmin = kwargs.get('xmin', None) 

xmax = kwargs.get('xmax', None) 

auto = False # turn off autoscaling, unless... 

if xmin is None and xmax is None: 

auto = None # leave autoscaling state alone 

xmin, xmax = self.set_xlim(xmin, xmax, emit=emit, auto=auto) 

 

ymin = kwargs.get('ymin', None) 

ymax = kwargs.get('ymax', None) 

auto = False # turn off autoscaling, unless... 

if ymin is None and ymax is None: 

auto = None # leave autoscaling state alone 

ymin, ymax = self.set_ylim(ymin, ymax, emit=emit, auto=auto) 

return xmin, xmax, ymin, ymax 

 

v = v[0] 

if len(v) != 4: 

raise ValueError('v must contain [xmin xmax ymin ymax]') 

 

self.set_xlim([v[0], v[1]], emit=emit, auto=False) 

self.set_ylim([v[2], v[3]], emit=emit, auto=False) 

 

return v 

 

def get_legend(self): 

"""Return the `Legend` instance, or None if no legend is defined.""" 

return self.legend_ 

 

def get_images(self): 

"""return a list of Axes images contained by the Axes""" 

return cbook.silent_list('AxesImage', self.images) 

 

def get_lines(self): 

"""Return a list of lines contained by the Axes""" 

return cbook.silent_list('Line2D', self.lines) 

 

def get_xaxis(self): 

"""Return the XAxis instance.""" 

return self.xaxis 

 

def get_xgridlines(self): 

"""Get the x grid lines as a list of `Line2D` instances.""" 

return cbook.silent_list('Line2D xgridline', 

self.xaxis.get_gridlines()) 

 

def get_xticklines(self): 

"""Get the x tick lines as a list of `Line2D` instances.""" 

return cbook.silent_list('Line2D xtickline', 

self.xaxis.get_ticklines()) 

 

def get_yaxis(self): 

"""Return the YAxis instance.""" 

return self.yaxis 

 

def get_ygridlines(self): 

"""Get the y grid lines as a list of `Line2D` instances.""" 

return cbook.silent_list('Line2D ygridline', 

self.yaxis.get_gridlines()) 

 

def get_yticklines(self): 

"""Get the y tick lines as a list of `Line2D` instances.""" 

return cbook.silent_list('Line2D ytickline', 

self.yaxis.get_ticklines()) 

 

# Adding and tracking artists 

 

def _sci(self, im): 

"""Set the current image. 

 

This image will be the target of colormap functions like 

`~.pyplot.viridis`, and other functions such as `~.pyplot.clim`. The 

current image is an attribute of the current axes. 

""" 

if isinstance(im, matplotlib.contour.ContourSet): 

if im.collections[0] not in self.collections: 

raise ValueError("ContourSet must be in current Axes") 

elif im not in self.images and im not in self.collections: 

raise ValueError("Argument must be an image, collection, or " 

"ContourSet in this Axes") 

self._current_image = im 

 

def _gci(self): 

""" 

Helper for :func:`~matplotlib.pyplot.gci`; 

do not use elsewhere. 

""" 

return self._current_image 

 

def has_data(self): 

""" 

Return *True* if any artists have been added to axes. 

 

This should not be used to determine whether the *dataLim* 

need to be updated, and may not actually be useful for 

anything. 

""" 

return ( 

len(self.collections) + 

len(self.images) + 

len(self.lines) + 

len(self.patches)) > 0 

 

def add_artist(self, a): 

"""Add any :class:`~matplotlib.artist.Artist` to the axes. 

 

Use `add_artist` only for artists for which there is no dedicated 

"add" method; and if necessary, use a method such as `update_datalim` 

to manually update the dataLim if the artist is to be included in 

autoscaling. 

 

If no ``transform`` has been specified when creating the artist (e.g. 

``artist.get_transform() == None``) then the transform is set to 

``ax.transData``. 

 

Returns the artist. 

""" 

a.axes = self 

self.artists.append(a) 

a._remove_method = self.artists.remove 

self._set_artist_props(a) 

a.set_clip_path(self.patch) 

self.stale = True 

return a 

 

def add_child_axes(self, ax): 

""" 

Add a :class:`~matplotlib.axes.Axesbase` instance 

as a child to the axes. 

 

Returns the added axes. 

 

This is the lowlevel version. See `.axes.Axes.inset_axes` 

""" 

 

# normally axes have themselves as the axes, but these need to have 

# their parent... 

# Need to bypass the getter... 

ax._axes = self 

ax.stale_callback = martist._stale_axes_callback 

 

self.child_axes.append(ax) 

ax._remove_method = self.child_axes.remove 

self.stale = True 

return ax 

 

def add_collection(self, collection, autolim=True): 

""" 

Add a :class:`~matplotlib.collections.Collection` instance 

to the axes. 

 

Returns the collection. 

""" 

label = collection.get_label() 

if not label: 

collection.set_label('_collection%d' % len(self.collections)) 

self.collections.append(collection) 

collection._remove_method = self.collections.remove 

self._set_artist_props(collection) 

 

if collection.get_clip_path() is None: 

collection.set_clip_path(self.patch) 

 

if autolim: 

self.update_datalim(collection.get_datalim(self.transData)) 

 

self.stale = True 

return collection 

 

def add_image(self, image): 

""" 

Add a :class:`~matplotlib.image.AxesImage` to the axes. 

 

Returns the image. 

""" 

self._set_artist_props(image) 

if not image.get_label(): 

image.set_label('_image%d' % len(self.images)) 

self.images.append(image) 

image._remove_method = self.images.remove 

self.stale = True 

return image 

 

def _update_image_limits(self, image): 

xmin, xmax, ymin, ymax = image.get_extent() 

self.axes.update_datalim(((xmin, ymin), (xmax, ymax))) 

 

def add_line(self, line): 

""" 

Add a :class:`~matplotlib.lines.Line2D` to the list of plot 

lines 

 

Returns the line. 

""" 

self._set_artist_props(line) 

if line.get_clip_path() is None: 

line.set_clip_path(self.patch) 

 

self._update_line_limits(line) 

if not line.get_label(): 

line.set_label('_line%d' % len(self.lines)) 

self.lines.append(line) 

line._remove_method = self.lines.remove 

self.stale = True 

return line 

 

def _add_text(self, txt): 

""" 

 

""" 

self._set_artist_props(txt) 

self.texts.append(txt) 

txt._remove_method = self.texts.remove 

self.stale = True 

return txt 

 

def _update_line_limits(self, line): 

""" 

Figures out the data limit of the given line, updating self.dataLim. 

""" 

path = line.get_path() 

if path.vertices.size == 0: 

return 

 

line_trans = line.get_transform() 

 

if line_trans == self.transData: 

data_path = path 

 

elif any(line_trans.contains_branch_seperately(self.transData)): 

# identify the transform to go from line's coordinates 

# to data coordinates 

trans_to_data = line_trans - self.transData 

 

# if transData is affine we can use the cached non-affine component 

# of line's path. (since the non-affine part of line_trans is 

# entirely encapsulated in trans_to_data). 

if self.transData.is_affine: 

line_trans_path = line._get_transformed_path() 

na_path, _ = line_trans_path.get_transformed_path_and_affine() 

data_path = trans_to_data.transform_path_affine(na_path) 

else: 

data_path = trans_to_data.transform_path(path) 

else: 

# for backwards compatibility we update the dataLim with the 

# coordinate range of the given path, even though the coordinate 

# systems are completely different. This may occur in situations 

# such as when ax.transAxes is passed through for absolute 

# positioning. 

data_path = path 

 

if data_path.vertices.size > 0: 

updatex, updatey = line_trans.contains_branch_seperately( 

self.transData) 

self.dataLim.update_from_path(data_path, 

self.ignore_existing_data_limits, 

updatex=updatex, 

updatey=updatey) 

self.ignore_existing_data_limits = False 

 

def add_patch(self, p): 

""" 

Add a :class:`~matplotlib.patches.Patch` *p* to the list of 

axes patches; the clipbox will be set to the Axes clipping 

box. If the transform is not set, it will be set to 

:attr:`transData`. 

 

Returns the patch. 

""" 

 

self._set_artist_props(p) 

if p.get_clip_path() is None: 

p.set_clip_path(self.patch) 

self._update_patch_limits(p) 

self.patches.append(p) 

p._remove_method = self.patches.remove 

return p 

 

def _update_patch_limits(self, patch): 

"""update the data limits for patch *p*""" 

# hist can add zero height Rectangles, which is useful to keep 

# the bins, counts and patches lined up, but it throws off log 

# scaling. We'll ignore rects with zero height or width in 

# the auto-scaling 

 

# cannot check for '==0' since unitized data may not compare to zero 

# issue #2150 - we update the limits if patch has non zero width 

# or height. 

if (isinstance(patch, mpatches.Rectangle) and 

((not patch.get_width()) and (not patch.get_height()))): 

return 

vertices = patch.get_path().vertices 

if vertices.size > 0: 

xys = patch.get_patch_transform().transform(vertices) 

if patch.get_data_transform() != self.transData: 

patch_to_data = (patch.get_data_transform() - 

self.transData) 

xys = patch_to_data.transform(xys) 

 

updatex, updatey = patch.get_transform().\ 

contains_branch_seperately(self.transData) 

self.update_datalim(xys, updatex=updatex, 

updatey=updatey) 

 

def add_table(self, tab): 

""" 

Add a :class:`~matplotlib.table.Table` instance to the 

list of axes tables 

 

Parameters 

---------- 

tab: `matplotlib.table.Table` 

Table instance 

 

Returns 

------- 

`matplotlib.table.Table`: the table. 

""" 

self._set_artist_props(tab) 

self.tables.append(tab) 

tab.set_clip_path(self.patch) 

tab._remove_method = self.tables.remove 

return tab 

 

def add_container(self, container): 

""" 

Add a :class:`~matplotlib.container.Container` instance 

to the axes. 

 

Returns the collection. 

""" 

label = container.get_label() 

if not label: 

container.set_label('_container%d' % len(self.containers)) 

self.containers.append(container) 

container._remove_method = self.containers.remove 

return container 

 

def _on_units_changed(self, scalex=False, scaley=False): 

""" 

Callback for processing changes to axis units. 

 

Currently forces updates of data limits and view limits. 

""" 

self.relim() 

self.autoscale_view(scalex=scalex, scaley=scaley) 

 

def relim(self, visible_only=False): 

""" 

Recompute the data limits based on current artists. If you want to 

exclude invisible artists from the calculation, set 

``visible_only=True`` 

 

At present, :class:`~matplotlib.collections.Collection` 

instances are not supported. 

""" 

# Collections are deliberately not supported (yet); see 

# the TODO note in artists.py. 

self.dataLim.ignore(True) 

self.dataLim.set_points(mtransforms.Bbox.null().get_points()) 

self.ignore_existing_data_limits = True 

 

for line in self.lines: 

if not visible_only or line.get_visible(): 

self._update_line_limits(line) 

 

for p in self.patches: 

if not visible_only or p.get_visible(): 

self._update_patch_limits(p) 

 

for image in self.images: 

if not visible_only or image.get_visible(): 

self._update_image_limits(image) 

 

def update_datalim(self, xys, updatex=True, updatey=True): 

""" 

Extend the `~.Axes.dataLim` BBox to include the given points. 

 

If no data is set currently, the BBox will ignore its limits and set 

the bound to be the bounds of the xydata (*xys*). Otherwise, it will 

compute the bounds of the union of its current data and the data in 

*xys*. 

 

Parameters 

---------- 

xys : 2D array-like 

The points to include in the data limits BBox. This can be either 

a list of (x, y) tuples or a Nx2 array. 

 

updatex, updatey : bool, optional, default *True* 

Whether to update the x/y limits. 

""" 

xys = np.asarray(xys) 

if not len(xys): 

return 

self.dataLim.update_from_data_xy(xys, self.ignore_existing_data_limits, 

updatex=updatex, updatey=updatey) 

self.ignore_existing_data_limits = False 

 

def update_datalim_bounds(self, bounds): 

""" 

Extend the `~.Axes.datalim` BBox to include the given 

`~matplotlib.transforms.Bbox`. 

 

Parameters 

---------- 

bounds : `~matplotlib.transforms.Bbox` 

""" 

self.dataLim.set(mtransforms.Bbox.union([self.dataLim, bounds])) 

 

def _process_unit_info(self, xdata=None, ydata=None, kwargs=None): 

"""Look for unit *kwargs* and update the axis instances as necessary""" 

 

def _process_single_axis(data, axis, unit_name, kwargs): 

# Return if there's no axis set 

if axis is None: 

return kwargs 

 

if data is not None: 

# We only need to update if there is nothing set yet. 

if not axis.have_units(): 

axis.update_units(data) 

 

# Check for units in the kwargs, and if present update axis 

if kwargs is not None: 

units = kwargs.pop(unit_name, axis.units) 

if self.name == 'polar': 

polar_units = {'xunits': 'thetaunits', 'yunits': 'runits'} 

units = kwargs.pop(polar_units[unit_name], units) 

 

if units != axis.units: 

axis.set_units(units) 

# If the units being set imply a different converter, 

# we need to update. 

if data is not None: 

axis.update_units(data) 

return kwargs 

 

kwargs = _process_single_axis(xdata, self.xaxis, 'xunits', kwargs) 

kwargs = _process_single_axis(ydata, self.yaxis, 'yunits', kwargs) 

return kwargs 

 

def in_axes(self, mouseevent): 

""" 

Return *True* if the given *mouseevent* (in display coords) 

is in the Axes 

""" 

return self.patch.contains(mouseevent)[0] 

 

def get_autoscale_on(self): 

""" 

Get whether autoscaling is applied for both axes on plot commands 

""" 

return self._autoscaleXon and self._autoscaleYon 

 

def get_autoscalex_on(self): 

""" 

Get whether autoscaling for the x-axis is applied on plot commands 

""" 

return self._autoscaleXon 

 

def get_autoscaley_on(self): 

""" 

Get whether autoscaling for the y-axis is applied on plot commands 

""" 

return self._autoscaleYon 

 

def set_autoscale_on(self, b): 

""" 

Set whether autoscaling is applied on plot commands 

 

Parameters 

---------- 

b : bool 

""" 

self._autoscaleXon = b 

self._autoscaleYon = b 

 

def set_autoscalex_on(self, b): 

""" 

Set whether autoscaling for the x-axis is applied on plot commands 

 

Parameters 

---------- 

b : bool 

""" 

self._autoscaleXon = b 

 

def set_autoscaley_on(self, b): 

""" 

Set whether autoscaling for the y-axis is applied on plot commands 

 

Parameters 

---------- 

b : bool 

""" 

self._autoscaleYon = b 

 

@property 

def use_sticky_edges(self): 

""" 

When autoscaling, whether to obey all `Artist.sticky_edges`. 

 

Default is ``True``. 

 

Setting this to ``False`` ensures that the specified margins 

will be applied, even if the plot includes an image, for 

example, which would otherwise force a view limit to coincide 

with its data limit. 

 

The changing this property does not change the plot until 

`autoscale` or `autoscale_view` is called. 

""" 

return self._use_sticky_edges 

 

@use_sticky_edges.setter 

def use_sticky_edges(self, b): 

self._use_sticky_edges = bool(b) 

# No effect until next autoscaling, which will mark the axes as stale. 

 

def set_xmargin(self, m): 

""" 

Set padding of X data limits prior to autoscaling. 

 

*m* times the data interval will be added to each 

end of that interval before it is used in autoscaling. 

For example, if your data is in the range [0, 2], a factor of 

``m = 0.1`` will result in a range [-0.2, 2.2]. 

 

Negative values -0.5 < m < 0 will result in clipping of the data range. 

I.e. for a data range [0, 2], a factor of ``m = -0.1`` will result in 

a range [0.2, 1.8]. 

 

Parameters 

---------- 

m : float greater than -0.5 

""" 

if m <= -0.5: 

raise ValueError("margin must be greater than -0.5") 

self._xmargin = m 

self.stale = True 

 

def set_ymargin(self, m): 

""" 

Set padding of Y data limits prior to autoscaling. 

 

*m* times the data interval will be added to each 

end of that interval before it is used in autoscaling. 

For example, if your data is in the range [0, 2], a factor of 

``m = 0.1`` will result in a range [-0.2, 2.2]. 

 

Negative values -0.5 < m < 0 will result in clipping of the data range. 

I.e. for a data range [0, 2], a factor of ``m = -0.1`` will result in 

a range [0.2, 1.8]. 

 

Parameters 

---------- 

m : float greater than -0.5 

""" 

if m <= -0.5: 

raise ValueError("margin must be greater than -0.5") 

self._ymargin = m 

self.stale = True 

 

def margins(self, *margins, x=None, y=None, tight=True): 

""" 

Set or retrieve autoscaling margins. 

 

The padding added to each limit of the axes is the *margin* 

times the data interval. All input parameters must be floats 

within the range [0, 1]. Passing both positional and keyword 

arguments is invalid and will raise a TypeError. If no 

arguments (positional or otherwise) are provided, the current 

margins will remain in place and simply be returned. 

 

Specifying any margin changes only the autoscaling; for example, 

if *xmargin* is not None, then *xmargin* times the X data 

interval will be added to each end of that interval before 

it is used in autoscaling. 

 

Parameters 

---------- 

args : float, optional 

If a single positional argument is provided, it specifies 

both margins of the x-axis and y-axis limits. If two 

positional arguments are provided, they will be interpreted 

as *xmargin*, *ymargin*. If setting the margin on a single 

axis is desired, use the keyword arguments described below. 

 

x, y : float, optional 

Specific margin values for the x-axis and y-axis, 

respectively. These cannot be used with positional 

arguments, but can be used individually to alter on e.g., 

only the y-axis. 

 

tight : bool, default is True 

The *tight* parameter is passed to :meth:`autoscale_view`, 

which is executed after a margin is changed; the default 

here is *True*, on the assumption that when margins are 

specified, no additional padding to match tick marks is 

usually desired. Set *tight* to *None* will preserve 

the previous setting. 

 

 

Returns 

------- 

xmargin, ymargin : float 

 

Notes 

----- 

If a previously used Axes method such as :meth:`pcolor` has set 

:attr:`use_sticky_edges` to `True`, only the limits not set by 

the "sticky artists" will be modified. To force all of the 

margins to be set, set :attr:`use_sticky_edges` to `False` 

before calling :meth:`margins`. 

 

""" 

 

if margins and x is not None and y is not None: 

raise TypeError('Cannot pass both positional and keyword ' 

'arguments for x and/or y.') 

elif len(margins) == 1: 

x = y = margins[0] 

elif len(margins) == 2: 

x, y = margins 

elif margins: 

raise TypeError('Must pass a single positional argument for all ' 

'margins, or one for each margin (x, y).') 

 

if x is None and y is None: 

if tight is not True: 

warnings.warn('ignoring tight=%r in get mode' % (tight,), 

stacklevel=2) 

return self._xmargin, self._ymargin 

 

if x is not None: 

self.set_xmargin(x) 

if y is not None: 

self.set_ymargin(y) 

 

self.autoscale_view( 

tight=tight, scalex=(x is not None), scaley=(y is not None) 

) 

 

def set_rasterization_zorder(self, z): 

""" 

Parameters 

---------- 

z : float or None 

zorder below which artists are rasterized. ``None`` means that 

artists do not get rasterized based on zorder. 

""" 

self._rasterization_zorder = z 

self.stale = True 

 

def get_rasterization_zorder(self): 

"""Return the zorder value below which artists will be rasterized.""" 

return self._rasterization_zorder 

 

def autoscale(self, enable=True, axis='both', tight=None): 

""" 

Autoscale the axis view to the data (toggle). 

 

Convenience method for simple axis view autoscaling. 

It turns autoscaling on or off, and then, 

if autoscaling for either axis is on, it performs 

the autoscaling on the specified axis or axes. 

 

Parameters 

---------- 

enable : bool or None, optional 

True (default) turns autoscaling on, False turns it off. 

None leaves the autoscaling state unchanged. 

 

axis : {'both', 'x', 'y'}, optional 

which axis to operate on; default is 'both' 

 

tight: bool or None, optional 

If True, set view limits to data limits; 

if False, let the locator and margins expand the view limits; 

if None, use tight scaling if the only artist is an image, 

otherwise treat *tight* as False. 

The *tight* setting is retained for future autoscaling 

until it is explicitly changed. 

 

""" 

if enable is None: 

scalex = True 

scaley = True 

else: 

scalex = False 

scaley = False 

if axis in ['x', 'both']: 

self._autoscaleXon = bool(enable) 

scalex = self._autoscaleXon 

if axis in ['y', 'both']: 

self._autoscaleYon = bool(enable) 

scaley = self._autoscaleYon 

if tight and scalex: 

self._xmargin = 0 

if tight and scaley: 

self._ymargin = 0 

self.autoscale_view(tight=tight, scalex=scalex, scaley=scaley) 

 

def autoscale_view(self, tight=None, scalex=True, scaley=True): 

""" 

Autoscale the view limits using the data limits. 

 

You can selectively autoscale only a single axis, e.g., the xaxis by 

setting *scaley* to *False*. The autoscaling preserves any 

axis direction reversal that has already been done. 

 

If *tight* is *False*, the axis major locator will be used 

to expand the view limits if rcParams['axes.autolimit_mode'] 

is 'round_numbers'. Note that any margins that are in effect 

will be applied first, regardless of whether *tight* is 

*True* or *False*. Specifying *tight* as *True* or *False* 

saves the setting as a private attribute of the Axes; specifying 

it as *None* (the default) applies the previously saved value. 

 

The data limits are not updated automatically when artist data are 

changed after the artist has been added to an Axes instance. In that 

case, use :meth:`matplotlib.axes.Axes.relim` prior to calling 

autoscale_view. 

""" 

if tight is not None: 

self._tight = bool(tight) 

 

if self.use_sticky_edges and (self._xmargin or self._ymargin): 

stickies = [artist.sticky_edges for artist in self.get_children()] 

x_stickies = sum([sticky.x for sticky in stickies], []) 

y_stickies = sum([sticky.y for sticky in stickies], []) 

if self.get_xscale().lower() == 'log': 

x_stickies = [xs for xs in x_stickies if xs > 0] 

if self.get_yscale().lower() == 'log': 

y_stickies = [ys for ys in y_stickies if ys > 0] 

else: # Small optimization. 

x_stickies, y_stickies = [], [] 

 

def handle_single_axis(scale, autoscaleon, shared_axes, interval, 

minpos, axis, margin, stickies, set_bound): 

 

if not (scale and autoscaleon): 

return # nothing to do... 

 

shared = shared_axes.get_siblings(self) 

dl = [ax.dataLim for ax in shared] 

# ignore non-finite data limits if good limits exist 

finite_dl = [d for d in dl if np.isfinite(d).all()] 

if len(finite_dl): 

# if finite limits exist for atleast one axis (and the 

# other is infinite), restore the finite limits 

x_finite = [d for d in dl 

if (np.isfinite(d.intervalx).all() and 

(d not in finite_dl))] 

y_finite = [d for d in dl 

if (np.isfinite(d.intervaly).all() and 

(d not in finite_dl))] 

 

dl = finite_dl 

dl.extend(x_finite) 

dl.extend(y_finite) 

 

bb = mtransforms.BboxBase.union(dl) 

x0, x1 = getattr(bb, interval) 

locator = axis.get_major_locator() 

try: 

# e.g., DateLocator has its own nonsingular() 

x0, x1 = locator.nonsingular(x0, x1) 

except AttributeError: 

# Default nonsingular for, e.g., MaxNLocator 

x0, x1 = mtransforms.nonsingular( 

x0, x1, increasing=False, expander=0.05) 

 

# Add the margin in figure space and then transform back, to handle 

# non-linear scales. 

minpos = getattr(bb, minpos) 

transform = axis.get_transform() 

inverse_trans = transform.inverted() 

# We cannot use exact equality due to floating point issues e.g. 

# with streamplot. 

do_lower_margin = not np.any(np.isclose(x0, stickies)) 

do_upper_margin = not np.any(np.isclose(x1, stickies)) 

x0, x1 = axis._scale.limit_range_for_scale(x0, x1, minpos) 

x0t, x1t = transform.transform([x0, x1]) 

 

if (np.isfinite(x1t) and np.isfinite(x0t)): 

delta = (x1t - x0t) * margin 

else: 

# If at least one bound isn't finite, set margin to zero 

delta = 0 

 

if do_lower_margin: 

x0t -= delta 

if do_upper_margin: 

x1t += delta 

x0, x1 = inverse_trans.transform([x0t, x1t]) 

 

if not self._tight: 

x0, x1 = locator.view_limits(x0, x1) 

set_bound(x0, x1) 

# End of definition of internal function 'handle_single_axis'. 

 

handle_single_axis( 

scalex, self._autoscaleXon, self._shared_x_axes, 'intervalx', 

'minposx', self.xaxis, self._xmargin, x_stickies, self.set_xbound) 

handle_single_axis( 

scaley, self._autoscaleYon, self._shared_y_axes, 'intervaly', 

'minposy', self.yaxis, self._ymargin, y_stickies, self.set_ybound) 

 

def _get_axis_list(self): 

return (self.xaxis, self.yaxis) 

 

def _update_title_position(self, renderer): 

""" 

Update the title position based on the bounding box enclosing 

all the ticklabels and x-axis spine and xlabel... 

""" 

_log.debug('update_title_pos') 

 

if self._autotitlepos is not None and not self._autotitlepos: 

_log.debug('title position was updated manually, not adjusting') 

return 

 

titles = (self.title, self._left_title, self._right_title) 

 

if self._autotitlepos is None: 

for title in titles: 

x, y = title.get_position() 

if not np.isclose(y, 1.0): 

self._autotitlepos = False 

_log.debug('not adjusting title pos because title was' 

' already placed manually: %f', y) 

return 

self._autotitlepos = True 

 

for title in titles: 

x, y0 = title.get_position() 

y = 1.0 

# need to check all our twins too... 

axs = self._twinned_axes.get_siblings(self) 

 

for ax in axs: 

try: 

if (ax.xaxis.get_label_position() == 'top' 

or ax.xaxis.get_ticks_position() == 'top'): 

bb = ax.xaxis.get_tightbbox(renderer) 

top = bb.ymax 

# we don't need to pad because the padding is already 

# in __init__: titleOffsetTrans 

yn = self.transAxes.inverted().transform((0., top))[1] 

y = max(y, yn) 

except AttributeError: 

pass 

 

title.set_position((x, y)) 

 

# Drawing 

 

@allow_rasterization 

def draw(self, renderer=None, inframe=False): 

"""Draw everything (plot lines, axes, labels)""" 

if renderer is None: 

renderer = self._cachedRenderer 

 

if renderer is None: 

raise RuntimeError('No renderer defined') 

if not self.get_visible(): 

return 

renderer.open_group('axes') 

 

# prevent triggering call backs during the draw process 

self._stale = True 

locator = self.get_axes_locator() 

if locator: 

pos = locator(self, renderer) 

self.apply_aspect(pos) 

else: 

self.apply_aspect() 

 

artists = self.get_children() 

artists.remove(self.patch) 

 

# the frame draws the edges around the axes patch -- we 

# decouple these so the patch can be in the background and the 

# frame in the foreground. Do this before drawing the axis 

# objects so that the spine has the opportunity to update them. 

if not (self.axison and self._frameon): 

for spine in self.spines.values(): 

artists.remove(spine) 

 

self._update_title_position(renderer) 

 

if not self.axison or inframe: 

for _axis in self._get_axis_list(): 

artists.remove(_axis) 

 

if inframe: 

artists.remove(self.title) 

artists.remove(self._left_title) 

artists.remove(self._right_title) 

 

if not self.figure.canvas.is_saving(): 

artists = [a for a in artists 

if not a.get_animated() or a in self.images] 

artists = sorted(artists, key=attrgetter('zorder')) 

 

# rasterize artists with negative zorder 

# if the minimum zorder is negative, start rasterization 

rasterization_zorder = self._rasterization_zorder 

 

if (rasterization_zorder is not None and 

artists and artists[0].zorder < rasterization_zorder): 

renderer.start_rasterizing() 

artists_rasterized = [a for a in artists 

if a.zorder < rasterization_zorder] 

artists = [a for a in artists 

if a.zorder >= rasterization_zorder] 

else: 

artists_rasterized = [] 

 

# the patch draws the background rectangle -- the frame below 

# will draw the edges 

if self.axison and self._frameon: 

self.patch.draw(renderer) 

 

if artists_rasterized: 

for a in artists_rasterized: 

a.draw(renderer) 

renderer.stop_rasterizing() 

 

mimage._draw_list_compositing_images(renderer, self, artists) 

 

renderer.close_group('axes') 

self._cachedRenderer = renderer 

self.stale = False 

 

def draw_artist(self, a): 

""" 

This method can only be used after an initial draw which 

caches the renderer. It is used to efficiently update Axes 

data (axis ticks, labels, etc are not updated) 

""" 

if self._cachedRenderer is None: 

raise AttributeError("draw_artist can only be used after an " 

"initial draw which caches the renderer") 

a.draw(self._cachedRenderer) 

 

def redraw_in_frame(self): 

""" 

This method can only be used after an initial draw which 

caches the renderer. It is used to efficiently update Axes 

data (axis ticks, labels, etc are not updated) 

""" 

if self._cachedRenderer is None: 

raise AttributeError("redraw_in_frame can only be used after an " 

"initial draw which caches the renderer") 

self.draw(self._cachedRenderer, inframe=True) 

 

def get_renderer_cache(self): 

return self._cachedRenderer 

 

# Axes rectangle characteristics 

 

def get_frame_on(self): 

"""Get whether the axes rectangle patch is drawn.""" 

return self._frameon 

 

def set_frame_on(self, b): 

""" 

Set whether the axes rectangle patch is drawn. 

 

Parameters 

---------- 

b : bool 

""" 

self._frameon = b 

self.stale = True 

 

def get_axisbelow(self): 

""" 

Get whether axis ticks and gridlines are above or below most artists. 

 

Returns 

------- 

axisbelow : bool or 'line' 

 

See Also 

-------- 

set_axisbelow 

""" 

return self._axisbelow 

 

def set_axisbelow(self, b): 

""" 

Set whether axis ticks and gridlines are above or below most artists. 

 

This controls the zorder of the ticks and gridlines. For more 

information on the zorder see :doc:`/gallery/misc/zorder_demo`. 

 

Parameters 

---------- 

b : bool or 'line' 

Possible values: 

 

- *True* (zorder = 0.5): Ticks and gridlines are below all Artists. 

- 'line' (zorder = 1.5): Ticks and gridlines are above patches ( 

e.g. rectangles) but still below lines / markers. 

- *False* (zorder = 2.5): Ticks and gridlines are above patches 

and lines / markers. 

 

See Also 

-------- 

get_axisbelow 

""" 

self._axisbelow = axisbelow = validate_axisbelow(b) 

if axisbelow is True: 

zorder = 0.5 

elif axisbelow is False: 

zorder = 2.5 

elif axisbelow == "line": 

zorder = 1.5 

else: 

raise ValueError("Unexpected axisbelow value") 

for axis in self._get_axis_list(): 

axis.set_zorder(zorder) 

self.stale = True 

 

@docstring.dedent_interpd 

def grid(self, b=None, which='major', axis='both', **kwargs): 

""" 

Configure the grid lines. 

 

Parameters 

---------- 

b : bool or None 

Whether to show the grid lines. If any *kwargs* are supplied, 

it is assumed you want the grid on and *b* will be set to True. 

 

If *b* is *None* and there are no *kwargs*, this toggles the 

visibility of the lines. 

 

which : {'major', 'minor', 'both'} 

The grid lines to apply the changes on. 

 

axis : {'both', 'x', 'y'} 

The axis to apply the changes on. 

 

**kwargs : `.Line2D` properties 

Define the line properties of the grid, e.g.:: 

 

grid(color='r', linestyle='-', linewidth=2) 

 

Valid *kwargs* are 

 

%(Line2D)s 

 

Notes 

----- 

The grid will be drawn according to the axes' zorder and not its own. 

""" 

if len(kwargs): 

b = True 

elif b is not None: 

b = _string_to_bool(b) 

 

if axis == 'x' or axis == 'both': 

self.xaxis.grid(b, which=which, **kwargs) 

if axis == 'y' or axis == 'both': 

self.yaxis.grid(b, which=which, **kwargs) 

 

def ticklabel_format(self, *, axis='both', style='', scilimits=None, 

useOffset=None, useLocale=None, useMathText=None): 

r""" 

Change the `~matplotlib.ticker.ScalarFormatter` used by 

default for linear axes. 

 

Optional keyword arguments: 

 

============== ========================================= 

Keyword Description 

============== ========================================= 

*axis* [ 'x' | 'y' | 'both' ] 

*style* [ 'sci' (or 'scientific') | 'plain' ] 

plain turns off scientific notation 

*scilimits* (m, n), pair of integers; if *style* 

is 'sci', scientific notation will 

be used for numbers outside the range 

10\ :sup:`m` to 10\ :sup:`n`. 

Use (0,0) to include all numbers. 

Use (m,m) where m <> 0 to fix the order 

of magnitude to 10\ :sup:`m`. 

*useOffset* [ bool | offset ]; if True, 

the offset will be calculated as needed; 

if False, no offset will be used; if a 

numeric offset is specified, it will be 

used. 

*useLocale* If True, format the number according to 

the current locale. This affects things 

such as the character used for the 

decimal separator. If False, use 

C-style (English) formatting. The 

default setting is controlled by the 

axes.formatter.use_locale rcparam. 

*useMathText* If True, render the offset and scientific 

notation in mathtext 

============== ========================================= 

 

Only the major ticks are affected. 

If the method is called when the 

:class:`~matplotlib.ticker.ScalarFormatter` is not the 

:class:`~matplotlib.ticker.Formatter` being used, an 

:exc:`AttributeError` will be raised. 

 

""" 

style = style.lower() 

axis = axis.lower() 

if scilimits is not None: 

try: 

m, n = scilimits 

m + n + 1 # check that both are numbers 

except (ValueError, TypeError): 

raise ValueError("scilimits must be a sequence of 2 integers") 

if style[:3] == 'sci': 

sb = True 

elif style == 'plain': 

sb = False 

elif style == '': 

sb = None 

else: 

raise ValueError("%s is not a valid style value") 

try: 

if sb is not None: 

if axis == 'both' or axis == 'x': 

self.xaxis.major.formatter.set_scientific(sb) 

if axis == 'both' or axis == 'y': 

self.yaxis.major.formatter.set_scientific(sb) 

if scilimits is not None: 

if axis == 'both' or axis == 'x': 

self.xaxis.major.formatter.set_powerlimits(scilimits) 

if axis == 'both' or axis == 'y': 

self.yaxis.major.formatter.set_powerlimits(scilimits) 

if useOffset is not None: 

if axis == 'both' or axis == 'x': 

self.xaxis.major.formatter.set_useOffset(useOffset) 

if axis == 'both' or axis == 'y': 

self.yaxis.major.formatter.set_useOffset(useOffset) 

if useLocale is not None: 

if axis == 'both' or axis == 'x': 

self.xaxis.major.formatter.set_useLocale(useLocale) 

if axis == 'both' or axis == 'y': 

self.yaxis.major.formatter.set_useLocale(useLocale) 

if useMathText is not None: 

if axis == 'both' or axis == 'x': 

self.xaxis.major.formatter.set_useMathText(useMathText) 

if axis == 'both' or axis == 'y': 

self.yaxis.major.formatter.set_useMathText(useMathText) 

except AttributeError: 

raise AttributeError( 

"This method only works with the ScalarFormatter.") 

 

def locator_params(self, axis='both', tight=None, **kwargs): 

""" 

Control behavior of tick locators. 

 

Parameters 

---------- 

axis : {'both', 'x', 'y'}, optional 

The axis on which to operate. 

 

tight : bool or None, optional 

Parameter passed to :meth:`autoscale_view`. 

Default is None, for no change. 

 

Other Parameters 

---------------- 

**kw : 

Remaining keyword arguments are passed to directly to the 

:meth:`~matplotlib.ticker.MaxNLocator.set_params` method. 

 

Typically one might want to reduce the maximum number 

of ticks and use tight bounds when plotting small 

subplots, for example:: 

 

ax.locator_params(tight=True, nbins=4) 

 

Because the locator is involved in autoscaling, 

:meth:`autoscale_view` is called automatically after 

the parameters are changed. 

 

This presently works only for the 

:class:`~matplotlib.ticker.MaxNLocator` used 

by default on linear axes, but it may be generalized. 

""" 

_x = axis in ['x', 'both'] 

_y = axis in ['y', 'both'] 

if _x: 

self.xaxis.get_major_locator().set_params(**kwargs) 

if _y: 

self.yaxis.get_major_locator().set_params(**kwargs) 

self.autoscale_view(tight=tight, scalex=_x, scaley=_y) 

 

def tick_params(self, axis='both', **kwargs): 

"""Change the appearance of ticks, tick labels, and gridlines. 

 

Parameters 

---------- 

axis : {'x', 'y', 'both'}, optional 

Which axis to apply the parameters to. 

 

Other Parameters 

---------------- 

 

axis : {'x', 'y', 'both'} 

Axis on which to operate; default is 'both'. 

 

reset : bool 

If *True*, set all parameters to defaults 

before processing other keyword arguments. Default is 

*False*. 

 

which : {'major', 'minor', 'both'} 

Default is 'major'; apply arguments to *which* ticks. 

 

direction : {'in', 'out', 'inout'} 

Puts ticks inside the axes, outside the axes, or both. 

 

length : float 

Tick length in points. 

 

width : float 

Tick width in points. 

 

color : color 

Tick color; accepts any mpl color spec. 

 

pad : float 

Distance in points between tick and label. 

 

labelsize : float or str 

Tick label font size in points or as a string (e.g., 'large'). 

 

labelcolor : color 

Tick label color; mpl color spec. 

 

colors : color 

Changes the tick color and the label color to the same value: 

mpl color spec. 

 

zorder : float 

Tick and label zorder. 

 

bottom, top, left, right : bool 

Whether to draw the respective ticks. 

 

labelbottom, labeltop, labelleft, labelright : bool 

Whether to draw the respective tick labels. 

 

labelrotation : float 

Tick label rotation 

 

grid_color : color 

Changes the gridline color to the given mpl color spec. 

 

grid_alpha : float 

Transparency of gridlines: 0 (transparent) to 1 (opaque). 

 

grid_linewidth : float 

Width of gridlines in points. 

 

grid_linestyle : string 

Any valid :class:`~matplotlib.lines.Line2D` line style spec. 

 

Examples 

-------- 

 

Usage :: 

 

ax.tick_params(direction='out', length=6, width=2, colors='r', 

grid_color='r', grid_alpha=0.5) 

 

This will make all major ticks be red, pointing out of the box, 

and with dimensions 6 points by 2 points. Tick labels will 

also be red. Gridlines will be red and translucent. 

 

""" 

if axis in ['x', 'both']: 

xkw = dict(kwargs) 

xkw.pop('left', None) 

xkw.pop('right', None) 

xkw.pop('labelleft', None) 

xkw.pop('labelright', None) 

self.xaxis.set_tick_params(**xkw) 

if axis in ['y', 'both']: 

ykw = dict(kwargs) 

ykw.pop('top', None) 

ykw.pop('bottom', None) 

ykw.pop('labeltop', None) 

ykw.pop('labelbottom', None) 

self.yaxis.set_tick_params(**ykw) 

 

def set_axis_off(self): 

""" 

Turn the x- and y-axis off. 

 

This affects the axis lines, ticks, ticklabels, grid and axis labels. 

""" 

self.axison = False 

self.stale = True 

 

def set_axis_on(self): 

""" 

Turn the x- and y-axis on. 

 

This affects the axis lines, ticks, ticklabels, grid and axis labels. 

""" 

self.axison = True 

self.stale = True 

 

# data limits, ticks, tick labels, and formatting 

 

def invert_xaxis(self): 

""" 

Invert the x-axis. 

 

See Also 

-------- 

xaxis_inverted 

get_xlim, set_xlim 

get_xbound, set_xbound 

""" 

self.set_xlim(self.get_xlim()[::-1], auto=None) 

 

def xaxis_inverted(self): 

""" 

Return whether the x-axis is inverted. 

 

The axis is inverted if the left value is larger than the right value. 

 

See Also 

-------- 

invert_xaxis 

get_xlim, set_xlim 

get_xbound, set_xbound 

""" 

left, right = self.get_xlim() 

return right < left 

 

def get_xbound(self): 

""" 

Return the lower and upper x-axis bounds, in increasing order. 

 

See Also 

-------- 

set_xbound 

get_xlim, set_xlim 

invert_xaxis, xaxis_inverted 

""" 

left, right = self.get_xlim() 

if left < right: 

return left, right 

else: 

return right, left 

 

def set_xbound(self, lower=None, upper=None): 

""" 

Set the lower and upper numerical bounds of the x-axis. 

 

This method will honor axes inversion regardless of parameter order. 

It will not change the autoscaling setting (``Axes._autoscaleXon``). 

 

Parameters 

---------- 

lower, upper : float or None 

The lower and upper bounds. If *None*, the respective axis bound 

is not modified. 

 

See Also 

-------- 

get_xbound 

get_xlim, set_xlim 

invert_xaxis, xaxis_inverted 

""" 

if upper is None and iterable(lower): 

lower, upper = lower 

 

old_lower, old_upper = self.get_xbound() 

 

if lower is None: 

lower = old_lower 

if upper is None: 

upper = old_upper 

 

if self.xaxis_inverted(): 

if lower < upper: 

self.set_xlim(upper, lower, auto=None) 

else: 

self.set_xlim(lower, upper, auto=None) 

else: 

if lower < upper: 

self.set_xlim(lower, upper, auto=None) 

else: 

self.set_xlim(upper, lower, auto=None) 

 

def get_xlim(self): 

""" 

Return the x-axis view limits. 

 

Returns 

------- 

left, right : (float, float) 

The current x-axis limits in data coordinates. 

 

See Also 

-------- 

set_xlim 

set_xbound, get_xbound 

invert_xaxis, xaxis_inverted 

 

Notes 

----- 

The x-axis may be inverted, in which case the *left* value will 

be greater than the *right* value. 

 

""" 

return tuple(self.viewLim.intervalx) 

 

def _validate_converted_limits(self, limit, convert): 

""" 

Raise ValueError if converted limits are non-finite. 

 

Note that this function also accepts None as a limit argument. 

 

Returns 

------- 

The limit value after call to convert(), or None if limit is None. 

 

""" 

if limit is not None: 

converted_limit = convert(limit) 

if (isinstance(converted_limit, Real) 

and not np.isfinite(converted_limit)): 

raise ValueError("Axis limits cannot be NaN or Inf") 

return converted_limit 

 

def set_xlim(self, left=None, right=None, emit=True, auto=False, 

*, xmin=None, xmax=None): 

""" 

Set the x-axis view limits. 

 

.. ACCEPTS: (left: float, right: float) 

 

Parameters 

---------- 

left : scalar, optional 

The left xlim in data coordinates. Passing *None* leaves the 

limit unchanged. 

 

The left and right xlims may be passed as the tuple 

(`left`, `right`) as the first positional argument (or as 

the `left` keyword argument). 

 

right : scalar, optional 

The right xlim in data coordinates. Passing *None* leaves the 

limit unchanged. 

 

emit : bool, optional 

Whether to notify observers of limit change (default: True). 

 

auto : bool or None, optional 

Whether to turn on autoscaling of the x-axis. True turns on, 

False turns off (default action), None leaves unchanged. 

 

xmin, xmax : scalar, optional 

These arguments are deprecated and will be removed in a future 

version. They are equivalent to left and right respectively, 

and it is an error to pass both *xmin* and *left* or 

*xmax* and *right*. 

 

Returns 

------- 

left, right : (float, float) 

The new x-axis limits in data coordinates. 

 

See Also 

-------- 

get_xlim 

set_xbound, get_xbound 

invert_xaxis, xaxis_inverted 

 

Notes 

----- 

The *left* value may be greater than the *right* value, in which 

case the x-axis values will decrease from left to right. 

 

Examples 

-------- 

>>> set_xlim(left, right) 

>>> set_xlim((left, right)) 

>>> left, right = set_xlim(left, right) 

 

One limit may be left unchanged. 

 

>>> set_xlim(right=right_lim) 

 

Limits may be passed in reverse order to flip the direction of 

the x-axis. For example, suppose ``x`` represents the number of 

years before present. The x-axis limits might be set like the 

following so 5000 years ago is on the left of the plot and the 

present is on the right. 

 

>>> set_xlim(5000, 0) 

 

""" 

if right is None and iterable(left): 

left, right = left 

if xmin is not None: 

cbook.warn_deprecated('3.0', name='`xmin`', 

alternative='`left`', obj_type='argument') 

if left is not None: 

raise TypeError('Cannot pass both `xmin` and `left`') 

left = xmin 

if xmax is not None: 

cbook.warn_deprecated('3.0', name='`xmax`', 

alternative='`right`', obj_type='argument') 

if right is not None: 

raise TypeError('Cannot pass both `xmax` and `right`') 

right = xmax 

 

self._process_unit_info(xdata=(left, right)) 

left = self._validate_converted_limits(left, self.convert_xunits) 

right = self._validate_converted_limits(right, self.convert_xunits) 

 

old_left, old_right = self.get_xlim() 

if left is None: 

left = old_left 

if right is None: 

right = old_right 

 

if left == right: 

warnings.warn( 

('Attempting to set identical left==right results\n' 

'in singular transformations; automatically expanding.\n' 

'left=%s, right=%s') % (left, right), stacklevel=2) 

left, right = mtransforms.nonsingular(left, right, increasing=False) 

 

if self.get_xscale() == 'log': 

if left <= 0: 

warnings.warn( 

'Attempted to set non-positive left xlim on a ' 

'log-scaled axis.\n' 

'Invalid limit will be ignored.', stacklevel=2) 

left = old_left 

if right <= 0: 

warnings.warn( 

'Attempted to set non-positive right xlim on a ' 

'log-scaled axis.\n' 

'Invalid limit will be ignored.', stacklevel=2) 

right = old_right 

 

left, right = self.xaxis.limit_range_for_scale(left, right) 

 

self.viewLim.intervalx = (left, right) 

if auto is not None: 

self._autoscaleXon = bool(auto) 

 

if emit: 

self.callbacks.process('xlim_changed', self) 

# Call all of the other x-axes that are shared with this one 

for other in self._shared_x_axes.get_siblings(self): 

if other is not self: 

other.set_xlim(self.viewLim.intervalx, 

emit=False, auto=auto) 

if (other.figure != self.figure and 

other.figure.canvas is not None): 

other.figure.canvas.draw_idle() 

self.stale = True 

return left, right 

 

def get_xscale(self): 

""" 

Return the x-axis scale as string. 

 

See Also 

-------- 

set_xscale 

""" 

return self.xaxis.get_scale() 

 

def set_xscale(self, value, **kwargs): 

""" 

Set the x-axis scale. 

 

Parameters 

---------- 

value : {"linear", "log", "symlog", "logit", ...} 

The axis scale type to apply. 

 

**kwargs 

Different keyword arguments are accepted, depending on the scale. 

See the respective class keyword arguments: 

 

- `matplotlib.scale.LinearScale` 

- `matplotlib.scale.LogScale` 

- `matplotlib.scale.SymmetricalLogScale` 

- `matplotlib.scale.LogitScale` 

 

 

Notes 

----- 

By default, Matplotlib supports the above mentioned scales. 

Additionally, custom scales may be registered using 

`matplotlib.scale.register_scale`. These scales can then also 

be used here. 

""" 

g = self.get_shared_x_axes() 

for ax in g.get_siblings(self): 

ax.xaxis._set_scale(value, **kwargs) 

ax._update_transScale() 

ax.stale = True 

 

self.autoscale_view(scaley=False) 

 

def get_xticks(self, minor=False): 

"""Return the x ticks as a list of locations""" 

return self.xaxis.get_ticklocs(minor=minor) 

 

def set_xticks(self, ticks, minor=False): 

""" 

Set the x ticks with list of *ticks* 

 

Parameters 

---------- 

ticks : list 

List of x-axis tick locations. 

 

minor : bool, optional 

If ``False`` sets major ticks, if ``True`` sets minor ticks. 

Default is ``False``. 

""" 

ret = self.xaxis.set_ticks(ticks, minor=minor) 

self.stale = True 

return ret 

 

def get_xmajorticklabels(self): 

""" 

Get the major x tick labels. 

 

Returns 

------- 

labels : list 

List of :class:`~matplotlib.text.Text` instances 

""" 

return cbook.silent_list('Text xticklabel', 

self.xaxis.get_majorticklabels()) 

 

def get_xminorticklabels(self): 

""" 

Get the minor x tick labels. 

 

Returns 

------- 

labels : list 

List of :class:`~matplotlib.text.Text` instances 

""" 

return cbook.silent_list('Text xticklabel', 

self.xaxis.get_minorticklabels()) 

 

def get_xticklabels(self, minor=False, which=None): 

""" 

Get the x tick labels as a list of :class:`~matplotlib.text.Text` 

instances. 

 

Parameters 

---------- 

minor : bool, optional 

If True return the minor ticklabels, 

else return the major ticklabels. 

 

which : None, ('minor', 'major', 'both') 

Overrides `minor`. 

 

Selects which ticklabels to return 

 

Returns 

------- 

ret : list 

List of :class:`~matplotlib.text.Text` instances. 

""" 

return cbook.silent_list('Text xticklabel', 

self.xaxis.get_ticklabels(minor=minor, 

which=which)) 

 

def set_xticklabels(self, labels, fontdict=None, minor=False, **kwargs): 

""" 

Set the x-tick labels with list of string labels. 

 

Parameters 

---------- 

labels : List[str] 

List of string labels. 

 

fontdict : dict, optional 

A dictionary controlling the appearance of the ticklabels. 

The default `fontdict` is:: 

 

{'fontsize': rcParams['axes.titlesize'], 

'fontweight': rcParams['axes.titleweight'], 

'verticalalignment': 'baseline', 

'horizontalalignment': loc} 

 

minor : bool, optional 

Whether to set the minor ticklabels rather than the major ones. 

 

Returns 

------- 

A list of `~.text.Text` instances. 

 

Other Parameters 

----------------- 

**kwargs : `~.text.Text` properties. 

""" 

if fontdict is not None: 

kwargs.update(fontdict) 

ret = self.xaxis.set_ticklabels(labels, 

minor=minor, **kwargs) 

self.stale = True 

return ret 

 

def invert_yaxis(self): 

""" 

Invert the y-axis. 

 

See Also 

-------- 

yaxis_inverted 

get_ylim, set_ylim 

get_ybound, set_ybound 

""" 

self.set_ylim(self.get_ylim()[::-1], auto=None) 

 

def yaxis_inverted(self): 

""" 

Return whether the y-axis is inverted. 

 

The axis is inverted if the bottom value is larger than the top value. 

 

See Also 

-------- 

invert_yaxis 

get_ylim, set_ylim 

get_ybound, set_ybound 

""" 

bottom, top = self.get_ylim() 

return top < bottom 

 

def get_ybound(self): 

""" 

Return the lower and upper y-axis bounds, in increasing order. 

 

See Also 

-------- 

set_ybound 

get_ylim, set_ylim 

invert_yaxis, yaxis_inverted 

""" 

bottom, top = self.get_ylim() 

if bottom < top: 

return bottom, top 

else: 

return top, bottom 

 

def set_ybound(self, lower=None, upper=None): 

""" 

Set the lower and upper numerical bounds of the y-axis. 

 

This method will honor axes inversion regardless of parameter order. 

It will not change the autoscaling setting (``Axes._autoscaleYon``). 

 

Parameters 

---------- 

lower, upper : float or None 

The lower and upper bounds. If *None*, the respective axis bound 

is not modified. 

 

See Also 

-------- 

get_ybound 

get_ylim, set_ylim 

invert_yaxis, yaxis_inverted 

""" 

if upper is None and iterable(lower): 

lower, upper = lower 

 

old_lower, old_upper = self.get_ybound() 

 

if lower is None: 

lower = old_lower 

if upper is None: 

upper = old_upper 

 

if self.yaxis_inverted(): 

if lower < upper: 

self.set_ylim(upper, lower, auto=None) 

else: 

self.set_ylim(lower, upper, auto=None) 

else: 

if lower < upper: 

self.set_ylim(lower, upper, auto=None) 

else: 

self.set_ylim(upper, lower, auto=None) 

 

def get_ylim(self): 

""" 

Return the y-axis view limits. 

 

Returns 

------- 

bottom, top : (float, float) 

The current y-axis limits in data coordinates. 

 

See Also 

-------- 

set_ylim 

set_ybound, get_ybound 

invert_yaxis, yaxis_inverted 

 

Notes 

----- 

The y-axis may be inverted, in which case the *bottom* value 

will be greater than the *top* value. 

 

""" 

return tuple(self.viewLim.intervaly) 

 

def set_ylim(self, bottom=None, top=None, emit=True, auto=False, 

*, ymin=None, ymax=None): 

""" 

Set the y-axis view limits. 

 

.. ACCEPTS: (bottom: float, top: float) 

 

Parameters 

---------- 

bottom : scalar, optional 

The bottom ylim in data coordinates. Passing *None* leaves the 

limit unchanged. 

 

The bottom and top ylims may be passed as the tuple 

(`bottom`, `top`) as the first positional argument (or as 

the `bottom` keyword argument). 

 

top : scalar, optional 

The top ylim in data coordinates. Passing *None* leaves the 

limit unchanged. 

 

emit : bool, optional 

Whether to notify observers of limit change (default: True). 

 

auto : bool or None, optional 

Whether to turn on autoscaling of the y-axis. *True* turns on, 

*False* turns off (default action), *None* leaves unchanged. 

 

ymin, ymax : scalar, optional 

These arguments are deprecated and will be removed in a future 

version. They are equivalent to bottom and top respectively, 

and it is an error to pass both *ymin* and *bottom* or 

*ymax* and *top*. 

 

Returns 

------- 

bottom, top : (float, float) 

The new y-axis limits in data coordinates. 

 

See Also 

-------- 

get_ylim 

set_ybound, get_ybound 

invert_yaxis, yaxis_inverted 

 

Notes 

----- 

The *bottom* value may be greater than the *top* value, in which 

case the y-axis values will decrease from *bottom* to *top*. 

 

Examples 

-------- 

>>> set_ylim(bottom, top) 

>>> set_ylim((bottom, top)) 

>>> bottom, top = set_ylim(bottom, top) 

 

One limit may be left unchanged. 

 

>>> set_ylim(top=top_lim) 

 

Limits may be passed in reverse order to flip the direction of 

the y-axis. For example, suppose ``y`` represents depth of the 

ocean in m. The y-axis limits might be set like the following 

so 5000 m depth is at the bottom of the plot and the surface, 

0 m, is at the top. 

 

>>> set_ylim(5000, 0) 

""" 

if top is None and iterable(bottom): 

bottom, top = bottom 

if ymin is not None: 

cbook.warn_deprecated('3.0', name='`ymin`', 

alternative='`bottom`', obj_type='argument') 

if bottom is not None: 

raise TypeError('Cannot pass both `ymin` and `bottom`') 

bottom = ymin 

if ymax is not None: 

cbook.warn_deprecated('3.0', name='`ymax`', 

alternative='`top`', obj_type='argument') 

if top is not None: 

raise TypeError('Cannot pass both `ymax` and `top`') 

top = ymax 

 

self._process_unit_info(ydata=(bottom, top)) 

bottom = self._validate_converted_limits(bottom, self.convert_yunits) 

top = self._validate_converted_limits(top, self.convert_yunits) 

 

old_bottom, old_top = self.get_ylim() 

 

if bottom is None: 

bottom = old_bottom 

if top is None: 

top = old_top 

 

if bottom == top: 

warnings.warn( 

('Attempting to set identical bottom==top results\n' 

'in singular transformations; automatically expanding.\n' 

'bottom=%s, top=%s') % (bottom, top), stacklevel=2) 

 

bottom, top = mtransforms.nonsingular(bottom, top, increasing=False) 

 

if self.get_yscale() == 'log': 

if bottom <= 0: 

warnings.warn( 

'Attempted to set non-positive bottom ylim on a ' 

'log-scaled axis.\n' 

'Invalid limit will be ignored.', stacklevel=2) 

bottom = old_bottom 

if top <= 0: 

warnings.warn( 

'Attempted to set non-positive top ylim on a ' 

'log-scaled axis.\n' 

'Invalid limit will be ignored.', stacklevel=2) 

top = old_top 

bottom, top = self.yaxis.limit_range_for_scale(bottom, top) 

 

self.viewLim.intervaly = (bottom, top) 

if auto is not None: 

self._autoscaleYon = bool(auto) 

 

if emit: 

self.callbacks.process('ylim_changed', self) 

# Call all of the other y-axes that are shared with this one 

for other in self._shared_y_axes.get_siblings(self): 

if other is not self: 

other.set_ylim(self.viewLim.intervaly, 

emit=False, auto=auto) 

if (other.figure != self.figure and 

other.figure.canvas is not None): 

other.figure.canvas.draw_idle() 

self.stale = True 

return bottom, top 

 

def get_yscale(self): 

""" 

Return the x-axis scale as string. 

 

See Also 

-------- 

set_yscale 

""" 

return self.yaxis.get_scale() 

 

def set_yscale(self, value, **kwargs): 

""" 

Set the y-axis scale. 

 

Parameters 

---------- 

value : {"linear", "log", "symlog", "logit", ...} 

The axis scale type to apply. 

 

**kwargs 

Different keyword arguments are accepted, depending on the scale. 

See the respective class keyword arguments: 

 

- `matplotlib.scale.LinearScale` 

- `matplotlib.scale.LogScale` 

- `matplotlib.scale.SymmetricalLogScale` 

- `matplotlib.scale.LogitScale` 

 

 

Notes 

----- 

By default, Matplotlib supports the above mentioned scales. 

Additionally, custom scales may be registered using 

`matplotlib.scale.register_scale`. These scales can then also 

be used here. 

""" 

g = self.get_shared_y_axes() 

for ax in g.get_siblings(self): 

ax.yaxis._set_scale(value, **kwargs) 

ax._update_transScale() 

ax.stale = True 

self.autoscale_view(scalex=False) 

 

def get_yticks(self, minor=False): 

"""Return the y ticks as a list of locations""" 

return self.yaxis.get_ticklocs(minor=minor) 

 

def set_yticks(self, ticks, minor=False): 

""" 

Set the y ticks with list of *ticks* 

 

Parameters 

---------- 

ticks : list 

List of y-axis tick locations 

 

minor : bool, optional 

If ``False`` sets major ticks, if ``True`` sets minor ticks. 

Default is ``False``. 

""" 

ret = self.yaxis.set_ticks(ticks, minor=minor) 

return ret 

 

def get_ymajorticklabels(self): 

""" 

Get the major y tick labels. 

 

Returns 

------- 

labels : list 

List of :class:`~matplotlib.text.Text` instances 

""" 

return cbook.silent_list('Text yticklabel', 

self.yaxis.get_majorticklabels()) 

 

def get_yminorticklabels(self): 

""" 

Get the minor y tick labels. 

 

Returns 

------- 

labels : list 

List of :class:`~matplotlib.text.Text` instances 

""" 

return cbook.silent_list('Text yticklabel', 

self.yaxis.get_minorticklabels()) 

 

def get_yticklabels(self, minor=False, which=None): 

""" 

Get the y tick labels as a list of :class:`~matplotlib.text.Text` 

instances. 

 

Parameters 

---------- 

minor : bool 

If True return the minor ticklabels, 

else return the major ticklabels 

 

which : None, ('minor', 'major', 'both') 

Overrides `minor`. 

 

Selects which ticklabels to return 

 

Returns 

------- 

ret : list 

List of :class:`~matplotlib.text.Text` instances. 

""" 

return cbook.silent_list('Text yticklabel', 

self.yaxis.get_ticklabels(minor=minor, 

which=which)) 

 

def set_yticklabels(self, labels, fontdict=None, minor=False, **kwargs): 

""" 

Set the y-tick labels with list of strings labels. 

 

Parameters 

---------- 

labels : List[str] 

list of string labels 

 

fontdict : dict, optional 

A dictionary controlling the appearance of the ticklabels. 

The default `fontdict` is:: 

 

{'fontsize': rcParams['axes.titlesize'], 

'fontweight': rcParams['axes.titleweight'], 

'verticalalignment': 'baseline', 

'horizontalalignment': loc} 

 

minor : bool, optional 

Whether to set the minor ticklabels rather than the major ones. 

 

Returns 

------- 

A list of `~.text.Text` instances. 

 

Other Parameters 

---------------- 

**kwargs : `~.text.Text` properties. 

""" 

if fontdict is not None: 

kwargs.update(fontdict) 

return self.yaxis.set_ticklabels(labels, 

minor=minor, **kwargs) 

 

def xaxis_date(self, tz=None): 

""" 

Sets up x-axis ticks and labels that treat the x data as dates. 

 

Parameters 

---------- 

tz : string or :class:`tzinfo` instance, optional 

Timezone string or timezone. Defaults to rc value. 

""" 

# should be enough to inform the unit conversion interface 

# dates are coming in 

self.xaxis.axis_date(tz) 

 

def yaxis_date(self, tz=None): 

""" 

Sets up y-axis ticks and labels that treat the y data as dates. 

 

Parameters 

---------- 

tz : string or :class:`tzinfo` instance, optional 

Timezone string or timezone. Defaults to rc value. 

""" 

self.yaxis.axis_date(tz) 

 

def format_xdata(self, x): 

""" 

Return *x* string formatted. This function will use the attribute 

self.fmt_xdata if it is callable, else will fall back on the xaxis 

major formatter 

""" 

try: 

return self.fmt_xdata(x) 

except TypeError: 

func = self.xaxis.get_major_formatter().format_data_short 

val = func(x) 

return val 

 

def format_ydata(self, y): 

""" 

Return y string formatted. This function will use the 

:attr:`fmt_ydata` attribute if it is callable, else will fall 

back on the yaxis major formatter 

""" 

try: 

return self.fmt_ydata(y) 

except TypeError: 

func = self.yaxis.get_major_formatter().format_data_short 

val = func(y) 

return val 

 

def format_coord(self, x, y): 

"""Return a format string formatting the *x*, *y* coord""" 

if x is None: 

xs = '???' 

else: 

xs = self.format_xdata(x) 

if y is None: 

ys = '???' 

else: 

ys = self.format_ydata(y) 

return 'x=%s y=%s' % (xs, ys) 

 

def minorticks_on(self): 

""" 

Display minor ticks on the axes. 

 

Displaying minor ticks may reduce performance; you may turn them off 

using `minorticks_off()` if drawing speed is a problem. 

""" 

for ax in (self.xaxis, self.yaxis): 

scale = ax.get_scale() 

if scale == 'log': 

s = ax._scale 

ax.set_minor_locator(mticker.LogLocator(s.base, s.subs)) 

elif scale == 'symlog': 

s = ax._scale 

ax.set_minor_locator( 

mticker.SymmetricalLogLocator(s._transform, s.subs)) 

else: 

ax.set_minor_locator(mticker.AutoMinorLocator()) 

 

def minorticks_off(self): 

"""Remove minor ticks from the axes.""" 

self.xaxis.set_minor_locator(mticker.NullLocator()) 

self.yaxis.set_minor_locator(mticker.NullLocator()) 

 

# Interactive manipulation 

 

def can_zoom(self): 

""" 

Return *True* if this axes supports the zoom box button functionality. 

""" 

return True 

 

def can_pan(self): 

""" 

Return *True* if this axes supports any pan/zoom button functionality. 

""" 

return True 

 

def get_navigate(self): 

""" 

Get whether the axes responds to navigation commands 

""" 

return self._navigate 

 

def set_navigate(self, b): 

""" 

Set whether the axes responds to navigation toolbar commands 

 

Parameters 

---------- 

b : bool 

""" 

self._navigate = b 

 

def get_navigate_mode(self): 

""" 

Get the navigation toolbar button status: 'PAN', 'ZOOM', or None 

""" 

return self._navigate_mode 

 

def set_navigate_mode(self, b): 

""" 

Set the navigation toolbar button status; 

 

.. warning:: 

this is not a user-API function. 

 

""" 

self._navigate_mode = b 

 

def _get_view(self): 

""" 

Save information required to reproduce the current view. 

 

Called before a view is changed, such as during a pan or zoom 

initiated by the user. You may return any information you deem 

necessary to describe the view. 

 

.. note:: 

 

Intended to be overridden by new projection types, but if not, the 

default implementation saves the view limits. You *must* implement 

:meth:`_set_view` if you implement this method. 

""" 

xmin, xmax = self.get_xlim() 

ymin, ymax = self.get_ylim() 

return (xmin, xmax, ymin, ymax) 

 

def _set_view(self, view): 

""" 

Apply a previously saved view. 

 

Called when restoring a view, such as with the navigation buttons. 

 

.. note:: 

 

Intended to be overridden by new projection types, but if not, the 

default implementation restores the view limits. You *must* 

implement :meth:`_get_view` if you implement this method. 

""" 

xmin, xmax, ymin, ymax = view 

self.set_xlim((xmin, xmax)) 

self.set_ylim((ymin, ymax)) 

 

def _set_view_from_bbox(self, bbox, direction='in', 

mode=None, twinx=False, twiny=False): 

""" 

Update view from a selection bbox. 

 

.. note:: 

 

Intended to be overridden by new projection types, but if not, the 

default implementation sets the view limits to the bbox directly. 

 

Parameters 

---------- 

 

bbox : 4-tuple or 3 tuple 

* If bbox is a 4 tuple, it is the selected bounding box limits, 

in *display* coordinates. 

* If bbox is a 3 tuple, it is an (xp, yp, scl) triple, where 

(xp,yp) is the center of zooming and scl the scale factor to 

zoom by. 

 

direction : str 

The direction to apply the bounding box. 

* `'in'` - The bounding box describes the view directly, i.e., 

it zooms in. 

* `'out'` - The bounding box describes the size to make the 

existing view, i.e., it zooms out. 

 

mode : str or None 

The selection mode, whether to apply the bounding box in only the 

`'x'` direction, `'y'` direction or both (`None`). 

 

twinx : bool 

Whether this axis is twinned in the *x*-direction. 

 

twiny : bool 

Whether this axis is twinned in the *y*-direction. 

""" 

Xmin, Xmax = self.get_xlim() 

Ymin, Ymax = self.get_ylim() 

 

if len(bbox) == 3: 

# Zooming code 

xp, yp, scl = bbox 

 

# Should not happen 

if scl == 0: 

scl = 1. 

 

# direction = 'in' 

if scl > 1: 

direction = 'in' 

else: 

direction = 'out' 

scl = 1/scl 

 

# get the limits of the axes 

tranD2C = self.transData.transform 

xmin, ymin = tranD2C((Xmin, Ymin)) 

xmax, ymax = tranD2C((Xmax, Ymax)) 

 

# set the range 

xwidth = xmax - xmin 

ywidth = ymax - ymin 

xcen = (xmax + xmin)*.5 

ycen = (ymax + ymin)*.5 

xzc = (xp*(scl - 1) + xcen)/scl 

yzc = (yp*(scl - 1) + ycen)/scl 

 

bbox = [xzc - xwidth/2./scl, yzc - ywidth/2./scl, 

xzc + xwidth/2./scl, yzc + ywidth/2./scl] 

elif len(bbox) != 4: 

# should be len 3 or 4 but nothing else 

warnings.warn( 

"Warning in _set_view_from_bbox: bounding box is not a tuple " 

"of length 3 or 4. Ignoring the view change.", stacklevel=2) 

return 

 

# Just grab bounding box 

lastx, lasty, x, y = bbox 

 

# zoom to rect 

inverse = self.transData.inverted() 

lastx, lasty = inverse.transform_point((lastx, lasty)) 

x, y = inverse.transform_point((x, y)) 

 

if twinx: 

x0, x1 = Xmin, Xmax 

else: 

if Xmin < Xmax: 

if x < lastx: 

x0, x1 = x, lastx 

else: 

x0, x1 = lastx, x 

if x0 < Xmin: 

x0 = Xmin 

if x1 > Xmax: 

x1 = Xmax 

else: 

if x > lastx: 

x0, x1 = x, lastx 

else: 

x0, x1 = lastx, x 

if x0 > Xmin: 

x0 = Xmin 

if x1 < Xmax: 

x1 = Xmax 

 

if twiny: 

y0, y1 = Ymin, Ymax 

else: 

if Ymin < Ymax: 

if y < lasty: 

y0, y1 = y, lasty 

else: 

y0, y1 = lasty, y 

if y0 < Ymin: 

y0 = Ymin 

if y1 > Ymax: 

y1 = Ymax 

else: 

if y > lasty: 

y0, y1 = y, lasty 

else: 

y0, y1 = lasty, y 

if y0 > Ymin: 

y0 = Ymin 

if y1 < Ymax: 

y1 = Ymax 

 

if direction == 'in': 

if mode == 'x': 

self.set_xlim((x0, x1)) 

elif mode == 'y': 

self.set_ylim((y0, y1)) 

else: 

self.set_xlim((x0, x1)) 

self.set_ylim((y0, y1)) 

elif direction == 'out': 

if self.get_xscale() == 'log': 

alpha = np.log(Xmax / Xmin) / np.log(x1 / x0) 

rx1 = pow(Xmin / x0, alpha) * Xmin 

rx2 = pow(Xmax / x0, alpha) * Xmin 

else: 

alpha = (Xmax - Xmin) / (x1 - x0) 

rx1 = alpha * (Xmin - x0) + Xmin 

rx2 = alpha * (Xmax - x0) + Xmin 

if self.get_yscale() == 'log': 

alpha = np.log(Ymax / Ymin) / np.log(y1 / y0) 

ry1 = pow(Ymin / y0, alpha) * Ymin 

ry2 = pow(Ymax / y0, alpha) * Ymin 

else: 

alpha = (Ymax - Ymin) / (y1 - y0) 

ry1 = alpha * (Ymin - y0) + Ymin 

ry2 = alpha * (Ymax - y0) + Ymin 

 

if mode == 'x': 

self.set_xlim((rx1, rx2)) 

elif mode == 'y': 

self.set_ylim((ry1, ry2)) 

else: 

self.set_xlim((rx1, rx2)) 

self.set_ylim((ry1, ry2)) 

 

def start_pan(self, x, y, button): 

""" 

Called when a pan operation has started. 

 

*x*, *y* are the mouse coordinates in display coords. 

button is the mouse button number: 

 

* 1: LEFT 

* 2: MIDDLE 

* 3: RIGHT 

 

.. note:: 

 

Intended to be overridden by new projection types. 

 

""" 

self._pan_start = types.SimpleNamespace( 

lim=self.viewLim.frozen(), 

trans=self.transData.frozen(), 

trans_inverse=self.transData.inverted().frozen(), 

bbox=self.bbox.frozen(), 

x=x, 

y=y) 

 

def end_pan(self): 

""" 

Called when a pan operation completes (when the mouse button 

is up.) 

 

.. note:: 

 

Intended to be overridden by new projection types. 

 

""" 

del self._pan_start 

 

def drag_pan(self, button, key, x, y): 

""" 

Called when the mouse moves during a pan operation. 

 

*button* is the mouse button number: 

 

* 1: LEFT 

* 2: MIDDLE 

* 3: RIGHT 

 

*key* is a "shift" key 

 

*x*, *y* are the mouse coordinates in display coords. 

 

.. note:: 

 

Intended to be overridden by new projection types. 

 

""" 

def format_deltas(key, dx, dy): 

if key == 'control': 

if abs(dx) > abs(dy): 

dy = dx 

else: 

dx = dy 

elif key == 'x': 

dy = 0 

elif key == 'y': 

dx = 0 

elif key == 'shift': 

if 2 * abs(dx) < abs(dy): 

dx = 0 

elif 2 * abs(dy) < abs(dx): 

dy = 0 

elif abs(dx) > abs(dy): 

dy = dy / abs(dy) * abs(dx) 

else: 

dx = dx / abs(dx) * abs(dy) 

return dx, dy 

 

p = self._pan_start 

dx = x - p.x 

dy = y - p.y 

if dx == dy == 0: 

return 

if button == 1: 

dx, dy = format_deltas(key, dx, dy) 

result = p.bbox.translated(-dx, -dy).transformed(p.trans_inverse) 

elif button == 3: 

try: 

dx = -dx / self.bbox.width 

dy = -dy / self.bbox.height 

dx, dy = format_deltas(key, dx, dy) 

if self.get_aspect() != 'auto': 

dx = dy = 0.5 * (dx + dy) 

alpha = np.power(10.0, (dx, dy)) 

start = np.array([p.x, p.y]) 

oldpoints = p.lim.transformed(p.trans) 

newpoints = start + alpha * (oldpoints - start) 

result = (mtransforms.Bbox(newpoints) 

.transformed(p.trans_inverse)) 

except OverflowError: 

warnings.warn('Overflow while panning', stacklevel=2) 

return 

else: 

return 

 

valid = np.isfinite(result.transformed(p.trans)) 

points = result.get_points().astype(object) 

# Just ignore invalid limits (typically, underflow in log-scale). 

points[~valid] = None 

self.set_xlim(points[:, 0]) 

self.set_ylim(points[:, 1]) 

 

def get_children(self): 

"""return a list of child artists""" 

children = [] 

children.extend(self.collections) 

children.extend(self.patches) 

children.extend(self.lines) 

children.extend(self.texts) 

children.extend(self.artists) 

children.extend(self.spines.values()) 

children.append(self.xaxis) 

children.append(self.yaxis) 

children.append(self.title) 

children.append(self._left_title) 

children.append(self._right_title) 

children.extend(self.tables) 

children.extend(self.images) 

children.extend(self.child_axes) 

 

if self.legend_ is not None: 

children.append(self.legend_) 

children.append(self.patch) 

 

return children 

 

def contains(self, mouseevent): 

""" 

Test whether the mouse event occurred in the axes. 

 

Returns *True* / *False*, {} 

""" 

if callable(self._contains): 

return self._contains(self, mouseevent) 

return self.patch.contains(mouseevent) 

 

def contains_point(self, point): 

""" 

Returns *True* if the point (tuple of x,y) is inside the axes 

(the area defined by the its patch). A pixel coordinate is 

required. 

 

""" 

return self.patch.contains_point(point, radius=1.0) 

 

def pick(self, *args): 

"""Trigger pick event 

 

Call signature:: 

 

pick(mouseevent) 

 

each child artist will fire a pick event if mouseevent is over 

the artist and the artist has picker set 

""" 

martist.Artist.pick(self, args[0]) 

 

def get_default_bbox_extra_artists(self): 

""" 

Return a default list of artists that are used for the bounding box 

calculation. 

 

Artists are excluded either by not being visible or 

``artist.set_in_layout(False)``. 

""" 

 

artists = self.get_children() 

if not (self.axison and self._frameon): 

# don't do bbox on spines if frame not on. 

for spine in self.spines.values(): 

artists.remove(spine) 

 

if not self.axison: 

for _axis in self._get_axis_list(): 

artists.remove(_axis) 

 

return [artist for artist in artists 

if (artist.get_visible() and artist.get_in_layout())] 

 

def get_tightbbox(self, renderer, call_axes_locator=True, 

bbox_extra_artists=None): 

""" 

Return the tight bounding box of the axes, including axis and their 

decorators (xlabel, title, etc). 

 

Artists that have ``artist.set_in_layout(False)`` are not included 

in the bbox. 

 

Parameters 

---------- 

renderer : `.RendererBase` instance 

renderer that will be used to draw the figures (i.e. 

``fig.canvas.get_renderer()``) 

 

bbox_extra_artists : list of `.Artist` or ``None`` 

List of artists to include in the tight bounding box. If 

``None`` (default), then all artist children of the axes are 

included in the tight bounding box. 

 

call_axes_locator : boolean (default ``True``) 

If *call_axes_locator* is ``False``, it does not call the 

``_axes_locator`` attribute, which is necessary to get the correct 

bounding box. ``call_axes_locator=False`` can be used if the 

caller is only interested in the relative size of the tightbbox 

compared to the axes bbox. 

 

Returns 

------- 

bbox : `.BboxBase` 

bounding box in figure pixel coordinates. 

""" 

 

bb = [] 

 

if not self.get_visible(): 

return None 

 

locator = self.get_axes_locator() 

if locator and call_axes_locator: 

pos = locator(self, renderer) 

self.apply_aspect(pos) 

else: 

self.apply_aspect() 

 

bb_xaxis = self.xaxis.get_tightbbox(renderer) 

if bb_xaxis: 

bb.append(bb_xaxis) 

 

self._update_title_position(renderer) 

bb.append(self.get_window_extent(renderer)) 

 

if self.title.get_visible(): 

bb.append(self.title.get_window_extent(renderer)) 

if self._left_title.get_visible(): 

bb.append(self._left_title.get_window_extent(renderer)) 

if self._right_title.get_visible(): 

bb.append(self._right_title.get_window_extent(renderer)) 

 

bb_yaxis = self.yaxis.get_tightbbox(renderer) 

if bb_yaxis: 

bb.append(bb_yaxis) 

 

bbox_artists = bbox_extra_artists 

if bbox_artists is None: 

bbox_artists = self.get_default_bbox_extra_artists() 

 

for a in bbox_artists: 

bbox = a.get_tightbbox(renderer) 

if (bbox is not None and 

(bbox.width != 0 or bbox.height != 0) and 

np.isfinite(bbox.width) and np.isfinite(bbox.height)): 

bb.append(bbox) 

 

_bbox = mtransforms.Bbox.union( 

[b for b in bb if b.width != 0 or b.height != 0]) 

 

return _bbox 

 

def _make_twin_axes(self, *kl, **kwargs): 

""" 

Make a twinx axes of self. This is used for twinx and twiny. 

""" 

# Typically, SubplotBase._make_twin_axes is called instead of this. 

# There is also an override in axes_grid1/axes_divider.py. 

if 'sharex' in kwargs and 'sharey' in kwargs: 

raise ValueError("Twinned Axes may share only one axis.") 

ax2 = self.figure.add_axes(self.get_position(True), *kl, **kwargs) 

self.set_adjustable('datalim') 

ax2.set_adjustable('datalim') 

self._twinned_axes.join(self, ax2) 

return ax2 

 

def twinx(self): 

""" 

Create a twin Axes sharing the xaxis 

 

Create a new Axes instance with an invisible x-axis and an independent 

y-axis positioned opposite to the original one (i.e. at right). The 

x-axis autoscale setting will be inherited from the original Axes. 

To ensure that the tick marks of both y-axes align, see 

`~matplotlib.ticker.LinearLocator` 

 

Returns 

------- 

ax_twin : Axes 

The newly created Axes instance 

 

Notes 

----- 

For those who are 'picking' artists while using twinx, pick 

events are only called for the artists in the top-most axes. 

""" 

ax2 = self._make_twin_axes(sharex=self) 

ax2.yaxis.tick_right() 

ax2.yaxis.set_label_position('right') 

ax2.yaxis.set_offset_position('right') 

ax2.set_autoscalex_on(self.get_autoscalex_on()) 

self.yaxis.tick_left() 

ax2.xaxis.set_visible(False) 

ax2.patch.set_visible(False) 

return ax2 

 

def twiny(self): 

""" 

Create a twin Axes sharing the yaxis 

 

Create a new Axes instance with an invisible y-axis and an independent 

x-axis positioned opposite to the original one (i.e. at top). The 

y-axis autoscale setting will be inherited from the original Axes. 

To ensure that the tick marks of both x-axes align, see 

`~matplotlib.ticker.LinearLocator` 

 

Returns 

------- 

ax_twin : Axes 

The newly created Axes instance 

 

Notes 

----- 

For those who are 'picking' artists while using twiny, pick 

events are only called for the artists in the top-most axes. 

""" 

 

ax2 = self._make_twin_axes(sharey=self) 

ax2.xaxis.tick_top() 

ax2.xaxis.set_label_position('top') 

ax2.set_autoscaley_on(self.get_autoscaley_on()) 

self.xaxis.tick_bottom() 

ax2.yaxis.set_visible(False) 

ax2.patch.set_visible(False) 

return ax2 

 

def get_shared_x_axes(self): 

"""Return a reference to the shared axes Grouper object for x axes.""" 

return self._shared_x_axes 

 

def get_shared_y_axes(self): 

"""Return a reference to the shared axes Grouper object for y axes.""" 

return self._shared_y_axes