r"""

:mod:`~matplotlib.gridspec` contains classes that help to layout multiple

`~.axes.Axes` in a grid-like pattern within a figure.

The `GridSpec` specifies the overall grid structure. Individual cells within

the grid are referenced by `SubplotSpec`\s.

Often, users need not access this module directly, and can use higher-level

methods like `~.pyplot.subplots`, `~.pyplot.subplot_mosaic` and

`~.Figure.subfigures`. See the tutorial :ref:`arranging_axes` for a guide.

"""

import copy

import logging

from numbers import Integral

import numpy as np

import matplotlib as mpl

from matplotlib import _api, _pylab_helpers, _tight_layout

from matplotlib.transforms import Bbox

_log = logging.getLogger(__name__)

class GridSpecBase:

"""

A base class of GridSpec that specifies the geometry of the grid

that a subplot will be placed.

"""

def __init__(self, nrows, ncols, height_ratios=None, width_ratios=None):

"""

Parameters

----------

nrows, ncols : int

The number of rows and columns of the grid.

width_ratios : array-like of length *ncols*, optional

Defines the relative widths of the columns. Each column gets a

relative width of ``width_ratios[i] / sum(width_ratios)``.

If not given, all columns will have the same width.

height_ratios : array-like of length *nrows*, optional

Defines the relative heights of the rows. Each row gets a

relative height of ``height_ratios[i] / sum(height_ratios)``.

If not given, all rows will have the same height.

"""

if not isinstance(nrows, Integral) or nrows <= 0:

raise ValueError(

f"Number of rows must be a positive integer, not {nrows!r}")

if not isinstance(ncols, Integral) or ncols <= 0:

raise ValueError(

f"Number of columns must be a positive integer, not {ncols!r}")

self._nrows, self._ncols = nrows, ncols

self.set_height_ratios(height_ratios)

self.set_width_ratios(width_ratios)

def __repr__(self):

height_arg = (f', height_ratios={self._row_height_ratios!r}'

if len(set(self._row_height_ratios)) != 1 else '')

width_arg = (f', width_ratios={self._col_width_ratios!r}'

if len(set(self._col_width_ratios)) != 1 else '')

return '{clsname}({nrows}, {ncols}{optionals})'.format(

clsname=self.__class__.__name__,

nrows=self._nrows,

ncols=self._ncols,

optionals=height_arg + width_arg,

)

nrows = property(lambda self: self._nrows,

doc="The number of rows in the grid.")

ncols = property(lambda self: self._ncols,

doc="The number of columns in the grid.")

def get_geometry(self):

"""

Return a tuple containing the number of rows and columns in the grid.

"""

return self._nrows, self._ncols

def get_subplot_params(self, figure=None):

# Must be implemented in subclasses

pass

def new_subplotspec(self, loc, rowspan=1, colspan=1):

"""

Create and return a `.SubplotSpec` instance.

Parameters

----------

loc : (int, int)

The position of the subplot in the grid as

``(row_index, column_index)``.

rowspan, colspan : int, default: 1

The number of rows and columns the subplot should span in the grid.

"""

loc1, loc2 = loc

subplotspec = self[loc1:loc1+rowspan, loc2:loc2+colspan]

return subplotspec

def set_width_ratios(self, width_ratios):

"""

Set the relative widths of the columns.

*width_ratios* must be of length *ncols*. Each column gets a relative

width of ``width_ratios[i] / sum(width_ratios)``.

"""

if width_ratios is None:

width_ratios = [1] * self._ncols

elif len(width_ratios) != self._ncols:

raise ValueError('Expected the given number of width ratios to '

'match the number of columns of the grid')

self._col_width_ratios = width_ratios

def get_width_ratios(self):

"""

Return the width ratios.

This is *None* if no width ratios have been set explicitly.

"""

return self._col_width_ratios

def set_height_ratios(self, height_ratios):

"""

Set the relative heights of the rows.

*height_ratios* must be of length *nrows*. Each row gets a relative

height of ``height_ratios[i] / sum(height_ratios)``.

"""

if height_ratios is None:

height_ratios = [1] * self._nrows

elif len(height_ratios) != self._nrows:

raise ValueError('Expected the given number of height ratios to '

'match the number of rows of the grid')

self._row_height_ratios = height_ratios

def get_height_ratios(self):

"""

Return the height ratios.

This is *None* if no height ratios have been set explicitly.

"""

return self._row_height_ratios

def get_grid_positions(self, fig):

"""

Return the positions of the grid cells in figure coordinates.

Parameters

----------

fig : `~matplotlib.figure.Figure`

The figure the grid should be applied to. The subplot parameters

(margins and spacing between subplots) are taken from *fig*.

Returns

-------

bottoms, tops, lefts, rights : array

The bottom, top, left, right positions of the grid cells in

figure coordinates.

"""

nrows, ncols = self.get_geometry()

subplot_params = self.get_subplot_params(fig)

left = subplot_params.left

right = subplot_params.right

bottom = subplot_params.bottom

top = subplot_params.top

wspace = subplot_params.wspace

hspace = subplot_params.hspace

tot_width = right - left

tot_height = top - bottom

# calculate accumulated heights of columns

cell_h = tot_height / (nrows + hspace*(nrows-1))

sep_h = hspace * cell_h

norm = cell_h * nrows / sum(self._row_height_ratios)

cell_heights = [r * norm for r in self._row_height_ratios]

sep_heights = [0] + ([sep_h] * (nrows-1))

cell_hs = np.cumsum(np.column_stack([sep_heights, cell_heights]).flat)

# calculate accumulated widths of rows

cell_w = tot_width / (ncols + wspace*(ncols-1))

sep_w = wspace * cell_w

norm = cell_w * ncols / sum(self._col_width_ratios)

cell_widths = [r * norm for r in self._col_width_ratios]

sep_widths = [0] + ([sep_w] * (ncols-1))

cell_ws = np.cumsum(np.column_stack([sep_widths, cell_widths]).flat)

fig_tops, fig_bottoms = (top - cell_hs).reshape((-1, 2)).T

fig_lefts, fig_rights = (left + cell_ws).reshape((-1, 2)).T

return fig_bottoms, fig_tops, fig_lefts, fig_rights

@staticmethod

def _check_gridspec_exists(figure, nrows, ncols):

"""

Check if the figure already has a gridspec with these dimensions,

or create a new one

"""

for ax in figure.get_axes():

gs = ax.get_gridspec()

if gs is not None:

if hasattr(gs, 'get_topmost_subplotspec'):

# This is needed for colorbar gridspec layouts.

# This is probably OK because this whole logic tree

# is for when the user is doing simple things with the

# add_subplot command. For complicated layouts

# like subgridspecs the proper gridspec is passed in...

gs = gs.get_topmost_subplotspec().get_gridspec()

if gs.get_geometry() == (nrows, ncols):

return gs

# else gridspec not found:

return GridSpec(nrows, ncols, figure=figure)

def __getitem__(self, key):

"""Create and return a `.SubplotSpec` instance."""

nrows, ncols = self.get_geometry()

def _normalize(key, size, axis): # Includes last index.

orig_key = key

if isinstance(key, slice):

start, stop, _ = key.indices(size)

if stop > start:

return start, stop - 1

raise IndexError("GridSpec slice would result in no space "

"allocated for subplot")

else:

if key < 0:

key = key + size

if 0 <= key < size:

return key, key

elif axis is not None:

raise IndexError(f"index {orig_key} is out of bounds for "

f"axis {axis} with size {size}")

else: # flat index

raise IndexError(f"index {orig_key} is out of bounds for "

f"GridSpec with size {size}")

if isinstance(key, tuple):

try:

k1, k2 = key

except ValueError as err:

raise ValueError("Unrecognized subplot spec") from err

num1, num2 = np.ravel_multi_index(

[_normalize(k1, nrows, 0), _normalize(k2, ncols, 1)],

(nrows, ncols))

else: # Single key

num1, num2 = _normalize(key, nrows * ncols, None)

return SubplotSpec(self, num1, num2)

def subplots(self, *, sharex=False, sharey=False, squeeze=True,

subplot_kw=None):

"""

Add all subplots specified by this `GridSpec` to its parent figure.

See `.Figure.subplots` for detailed documentation.

"""

figure = self.figure

if figure is None:

raise ValueError("GridSpec.subplots() only works for GridSpecs "

"created with a parent figure")

if not isinstance(sharex, str):

sharex = "all" if sharex else "none"

if not isinstance(sharey, str):

sharey = "all" if sharey else "none"

_api.check_in_list(["all", "row", "col", "none", False, True],

sharex=sharex, sharey=sharey)

if subplot_kw is None:

subplot_kw = {}

# don't mutate kwargs passed by user...

subplot_kw = subplot_kw.copy()

# Create array to hold all Axes.

axarr = np.empty((self._nrows, self._ncols), dtype=object)

for row in range(self._nrows):

for col in range(self._ncols):

shared_with = {"none": None, "all": axarr[0, 0],

"row": axarr[row, 0], "col": axarr[0, col]}

subplot_kw["sharex"] = shared_with[sharex]

subplot_kw["sharey"] = shared_with[sharey]

axarr[row, col] = figure.add_subplot(

self[row, col], **subplot_kw)

# turn off redundant tick labeling

if sharex in ["col", "all"]:

for ax in axarr.flat:

ax._label_outer_xaxis(skip_non_rectangular_axes=True)

if sharey in ["row", "all"]:

for ax in axarr.flat:

ax._label_outer_yaxis(skip_non_rectangular_axes=True)

if squeeze:

# Discarding unneeded dimensions that equal 1. If we only have one

# subplot, just return it instead of a 1-element array.

return axarr.item() if axarr.size == 1 else axarr.squeeze()

else:

# Returned axis array will be always 2-d, even if nrows=ncols=1.

return axarr

class GridSpec(GridSpecBase):

"""

A grid layout to place subplots within a figure.

The location of the grid cells is determined in a similar way to

`.SubplotParams` using *left*, *right*, *top*, *bottom*, *wspace*

and *hspace*.

Indexing a GridSpec instance returns a `.SubplotSpec`.

"""

def __init__(self, nrows, ncols, figure=None,

left=None, bottom=None, right=None, top=None,

wspace=None, hspace=None,

width_ratios=None, height_ratios=None):

"""

Parameters

----------

nrows, ncols : int

The number of rows and columns of the grid.

figure : `.Figure`, optional

Only used for constrained layout to create a proper layoutgrid.

left, right, top, bottom : float, optional

Extent of the subplots as a fraction of figure width or height.

Left cannot be larger than right, and bottom cannot be larger than

top. If not given, the values will be inferred from a figure or

rcParams at draw time. See also `GridSpec.get_subplot_params`.

wspace : float, optional

The amount of width reserved for space between subplots,

expressed as a fraction of the average axis width.

If not given, the values will be inferred from a figure or

rcParams when necessary. See also `GridSpec.get_subplot_params`.

hspace : float, optional

The amount of height reserved for space between subplots,

expressed as a fraction of the average axis height.

If not given, the values will be inferred from a figure or

rcParams when necessary. See also `GridSpec.get_subplot_params`.

width_ratios : array-like of length *ncols*, optional

Defines the relative widths of the columns. Each column gets a

relative width of ``width_ratios[i] / sum(width_ratios)``.

If not given, all columns will have the same width.

height_ratios : array-like of length *nrows*, optional

Defines the relative heights of the rows. Each row gets a

relative height of ``height_ratios[i] / sum(height_ratios)``.

If not given, all rows will have the same height.

"""

self.left = left

self.bottom = bottom

self.right = right

self.top = top

self.wspace = wspace

self.hspace = hspace

self.figure = figure

super().__init__(nrows, ncols,

width_ratios=width_ratios,

height_ratios=height_ratios)

_AllowedKeys = ["left", "bottom", "right", "top", "wspace", "hspace"]

def update(self, **kwargs):

"""

Update the subplot parameters of the grid.

Parameters that are not explicitly given are not changed. Setting a

parameter to *None* resets it to :rc:`figure.subplot.*`.

Parameters

----------

left, right, top, bottom : float or None, optional

Extent of the subplots as a fraction of figure width or height.

wspace, hspace : float, optional

Spacing between the subplots as a fraction of the average subplot

width / height.

"""

for k, v in kwargs.items():

if k in self._AllowedKeys:

setattr(self, k, v)

else:

raise AttributeError(f"{k} is an unknown keyword")

for figmanager in _pylab_helpers.Gcf.figs.values():

for ax in figmanager.canvas.figure.axes:

if ax.get_subplotspec() is not None:

ss = ax.get_subplotspec().get_topmost_subplotspec()

if ss.get_gridspec() == self:

fig = ax.get_figure(root=False)

ax._set_position(ax.get_subplotspec().get_position(fig))

def get_subplot_params(self, figure=None):

"""

Return the `.SubplotParams` for the GridSpec.

In order of precedence the values are taken from

- non-*None* attributes of the GridSpec

- the provided *figure*

- :rc:`figure.subplot.*`

Note that the ``figure`` attribute of the GridSpec is always ignored.

"""

if figure is None:

kw = {k: mpl.rcParams["figure.subplot."+k]

for k in self._AllowedKeys}

subplotpars = SubplotParams(**kw)

else:

subplotpars = copy.copy(figure.subplotpars)

subplotpars.update(**{k: getattr(self, k) for k in self._AllowedKeys})

return subplotpars

def locally_modified_subplot_params(self):

"""

Return a list of the names of the subplot parameters explicitly set

in the GridSpec.

This is a subset of the attributes of `.SubplotParams`.

"""

return [k for k in self._AllowedKeys if getattr(self, k)]

def tight_layout(self, figure, renderer=None,

pad=1.08, h_pad=None, w_pad=None, rect=None):

"""

Adjust subplot parameters to give specified padding.

Parameters

----------

figure : `.Figure`

The figure.

renderer : `.RendererBase` subclass, optional

The renderer to be used.

pad : float

Padding between the figure edge and the edges of subplots, as a

fraction of the font-size.

h_pad, w_pad : float, optional

Padding (height/width) between edges of adjacent subplots.

Defaults to *pad*.

rect : tuple (left, bottom, right, top), default: None

(left, bottom, right, top) rectangle in normalized figure

coordinates that the whole subplots area (including labels) will

fit into. Default (None) is the whole figure.

"""

if renderer is None:

renderer = figure._get_renderer()

kwargs = _tight_layout.get_tight_layout_figure(

figure, figure.axes,

_tight_layout.get_subplotspec_list(figure.axes, grid_spec=self),

renderer, pad=pad, h_pad=h_pad, w_pad=w_pad, rect=rect)

if kwargs:

self.update(**kwargs)

class GridSpecFromSubplotSpec(GridSpecBase):

"""

GridSpec whose subplot layout parameters are inherited from the

location specified by a given SubplotSpec.

"""

def __init__(self, nrows, ncols,

subplot_spec,

wspace=None, hspace=None,

height_ratios=None, width_ratios=None):

"""

Parameters

----------

nrows, ncols : int

Number of rows and number of columns of the grid.

subplot_spec : SubplotSpec

Spec from which the layout parameters are inherited.

wspace, hspace : float, optional

See `GridSpec` for more details. If not specified default values

(from the figure or rcParams) are used.

height_ratios : array-like of length *nrows*, optional

See `GridSpecBase` for details.

width_ratios : array-like of length *ncols*, optional

See `GridSpecBase` for details.

"""

self._wspace = wspace

self._hspace = hspace

if isinstance(subplot_spec, SubplotSpec):

self._subplot_spec = subplot_spec

else:

raise TypeError(

"subplot_spec must be type SubplotSpec, "

"usually from GridSpec, or axes.get_subplotspec.")

self.figure = self._subplot_spec.get_gridspec().figure

super().__init__(nrows, ncols,

width_ratios=width_ratios,

height_ratios=height_ratios)

def get_subplot_params(self, figure=None):

"""Return a dictionary of subplot layout parameters."""

hspace = (self._hspace if self._hspace is not None

else figure.subplotpars.hspace if figure is not None

else mpl.rcParams["figure.subplot.hspace"])

wspace = (self._wspace if self._wspace is not None

else figure.subplotpars.wspace if figure is not None

else mpl.rcParams["figure.subplot.wspace"])

figbox = self._subplot_spec.get_position(figure)

left, bottom, right, top = figbox.extents

return SubplotParams(left=left, right=right,

bottom=bottom, top=top,

wspace=wspace, hspace=hspace)

def get_topmost_subplotspec(self):

"""

Return the topmost `.SubplotSpec` instance associated with the subplot.

"""

return self._subplot_spec.get_topmost_subplotspec()

class SubplotSpec:

"""

The location of a subplot in a `GridSpec`.

.. note::

Likely, you will never instantiate a `SubplotSpec` yourself. Instead,

you will typically obtain one from a `GridSpec` using item-access.

Parameters

----------

gridspec : `~matplotlib.gridspec.GridSpec`

The GridSpec, which the subplot is referencing.

num1, num2 : int

The subplot will occupy the *num1*-th cell of the given

*gridspec*. If *num2* is provided, the subplot will span between

*num1*-th cell and *num2*-th cell **inclusive**.

The index starts from 0.

"""

def __init__(self, gridspec, num1, num2=None):

self._gridspec = gridspec

self.num1 = num1

self.num2 = num2

def __repr__(self):

return (f"{self.get_gridspec()}["

f"{self.rowspan.start}:{self.rowspan.stop}, "

f"{self.colspan.start}:{self.colspan.stop}]")

@staticmethod

def _from_subplot_args(figure, args):

"""

Construct a `.SubplotSpec` from a parent `.Figure` and either

- a `.SubplotSpec` -- returned as is;

- one or three numbers -- a MATLAB-style subplot specifier.

"""

if len(args) == 1:

arg, = args

if isinstance(arg, SubplotSpec):

return arg

elif not isinstance(arg, Integral):

raise ValueError(

f"Single argument to subplot must be a three-digit "

f"integer, not {arg!r}")

try:

rows, cols, num = map(int, str(arg))

except ValueError:

raise ValueError(

f"Single argument to subplot must be a three-digit "

f"integer, not {arg!r}") from None

elif len(args) == 3:

rows, cols, num = args

else:

raise _api.nargs_error("subplot", takes="1 or 3", given=len(args))

gs = GridSpec._check_gridspec_exists(figure, rows, cols)

if gs is None:

gs = GridSpec(rows, cols, figure=figure)

if isinstance(num, tuple) and len(num) == 2:

if not all(isinstance(n, Integral) for n in num):

raise ValueError(

f"Subplot specifier tuple must contain integers, not {num}"

)

i, j = num

else:

if not isinstance(num, Integral) or num < 1 or num > rows*cols:

raise ValueError(

f"num must be an integer with 1 <= num <= {rows*cols}, "

f"not {num!r}"

)

i = j = num

return gs[i-1:j]

# num2 is a property only to handle the case where it is None and someone

# mutates num1.

@property

def num2(self):

return self.num1 if self._num2 is None else self._num2

@num2.setter

def num2(self, value):

self._num2 = value

def get_gridspec(self):

return self._gridspec

def get_geometry(self):

"""

Return the subplot geometry as tuple ``(n_rows, n_cols, start, stop)``.

The indices *start* and *stop* define the range of the subplot within

the `GridSpec`. *stop* is inclusive (i.e. for a single cell

``start == stop``).

"""

rows, cols = self.get_gridspec().get_geometry()

return rows, cols, self.num1, self.num2

@property

def rowspan(self):

"""The rows spanned by this subplot, as a `range` object."""

ncols = self.get_gridspec().ncols

return range(self.num1 // ncols, self.num2 // ncols + 1)

@property

def colspan(self):

"""The columns spanned by this subplot, as a `range` object."""

ncols = self.get_gridspec().ncols

# We explicitly support num2 referring to a column on num1's *left*, so

# we must sort the column indices here so that the range makes sense.

c1, c2 = sorted([self.num1 % ncols, self.num2 % ncols])

return range(c1, c2 + 1)

def is_first_row(self):

return self.rowspan.start == 0

def is_last_row(self):

return self.rowspan.stop == self.get_gridspec().nrows

def is_first_col(self):

return self.colspan.start == 0

def is_last_col(self):

return self.colspan.stop == self.get_gridspec().ncols

def get_position(self, figure):

"""

Update the subplot position from ``figure.subplotpars``.

"""

gridspec = self.get_gridspec()

nrows, ncols = gridspec.get_geometry()

rows, cols = np.unravel_index([self.num1, self.num2], (nrows, ncols))

fig_bottoms, fig_tops, fig_lefts, fig_rights = \

gridspec.get_grid_positions(figure)

fig_bottom = fig_bottoms[rows].min()

fig_top = fig_tops[rows].max()

fig_left = fig_lefts[cols].min()

fig_right = fig_rights[cols].max()

return Bbox.from_extents(fig_left, fig_bottom, fig_right, fig_top)

def get_topmost_subplotspec(self):

"""

Return the topmost `SubplotSpec` instance associated with the subplot.

"""

gridspec = self.get_gridspec()

if hasattr(gridspec, "get_topmost_subplotspec"):

return gridspec.get_topmost_subplotspec()

else:

return self

def __eq__(self, other):

"""

Two SubplotSpecs are considered equal if they refer to the same

position(s) in the same `GridSpec`.

"""

# other may not even have the attributes we are checking.

return ((self._gridspec, self.num1, self.num2)

== (getattr(other, "_gridspec", object()),

getattr(other, "num1", object()),

getattr(other, "num2", object())))

def __hash__(self):

return hash((self._gridspec, self.num1, self.num2))

def subgridspec(self, nrows, ncols, **kwargs):

"""

Create a GridSpec within this subplot.

The created `.GridSpecFromSubplotSpec` will have this `SubplotSpec` as

a parent.

Parameters

----------

nrows : int

Number of rows in grid.

ncols : int

Number of columns in grid.

Returns

-------

`.GridSpecFromSubplotSpec`

Other Parameters

----------------

**kwargs

All other parameters are passed to `.GridSpecFromSubplotSpec`.

See Also

--------

matplotlib.pyplot.subplots

Examples

--------

Adding three subplots in the space occupied by a single subplot::

fig = plt.figure()

gs0 = fig.add_gridspec(3, 1)

ax1 = fig.add_subplot(gs0[0])

ax2 = fig.add_subplot(gs0[1])

gssub = gs0[2].subgridspec(1, 3)

for i in range(3):

fig.add_subplot(gssub[0, i])

"""

return GridSpecFromSubplotSpec(nrows, ncols, self, **kwargs)

class SubplotParams:

"""

Parameters defining the positioning of a subplots grid in a figure.

"""

def __init__(self, left=None, bottom=None, right=None, top=None,

wspace=None, hspace=None):

"""

Defaults are given by :rc:`figure.subplot.[name]`.

Parameters

----------

left : float

The position of the left edge of the subplots,

as a fraction of the figure width.

right : float

The position of the right edge of the subplots,

as a fraction of the figure width.

bottom : float

The position of the bottom edge of the subplots,

as a fraction of the figure height.

top : float

The position of the top edge of the subplots,

as a fraction of the figure height.

wspace : float

The width of the padding between subplots,

as a fraction of the average Axes width.

hspace : float

The height of the padding between subplots,

as a fraction of the average Axes height.

"""

for key in ["left", "bottom", "right", "top", "wspace", "hspace"]:

setattr(self, key, mpl.rcParams[f"figure.subplot.{key}"])

self.update(left, bottom, right, top, wspace, hspace)

def update(self, left=None, bottom=None, right=None, top=None,

wspace=None, hspace=None):

"""

Update the dimensions of the passed parameters. *None* means unchanged.

"""

if ((left if left is not None else self.left)

>= (right if right is not None else self.right)):

raise ValueError('left cannot be >= right')

if ((bottom if bottom is not None else self.bottom)

>= (top if top is not None else self.top)):

raise ValueError('bottom cannot be >= top')

if left is not None:

self.left = left

if right is not None:

self.right = right

if bottom is not None:

self.bottom = bottom

if top is not None:

self.top = top

if wspace is not None:

self.wspace = wspace

if hspace is not None:

self.hspace = hspace