Constrained Layout Guide#

How to use constrained-layout to fit plots within your figure cleanly.

constrained_layout automatically adjusts subplots and decorations like legends and colorbars so that they fit in the figure window while still preserving, as best they can, the logical layout requested by the user.

constrained_layout is similar to tight_layout, but uses a constraint solver to determine the size of axes that allows them to fit.

constrained_layout typically needs to be activated before any axes are added to a figure. Two ways of doing so are

Those are described in detail throughout the following sections.

Simple Example#

In Matplotlib, the location of axes (including subplots) are specified in normalized figure coordinates. It can happen that your axis labels or titles (or sometimes even ticklabels) go outside the figure area, and are thus clipped.

import matplotlib.pyplot as plt
import matplotlib.colors as mcolors
import matplotlib.gridspec as gridspec
import numpy as np

plt.rcParams['savefig.facecolor'] = "0.8"
plt.rcParams['figure.figsize'] = 4.5, 4.
plt.rcParams['figure.max_open_warning'] = 50


def example_plot(ax, fontsize=12, hide_labels=False):
    ax.plot([1, 2])

    ax.locator_params(nbins=3)
    if hide_labels:
        ax.set_xticklabels([])
        ax.set_yticklabels([])
    else:
        ax.set_xlabel('x-label', fontsize=fontsize)
        ax.set_ylabel('y-label', fontsize=fontsize)
        ax.set_title('Title', fontsize=fontsize)

fig, ax = plt.subplots(layout=None)
example_plot(ax, fontsize=24)

To prevent this, the location of axes needs to be adjusted. For subplots, this can be done manually by adjusting the subplot parameters using Figure.subplots_adjust. However, specifying your figure with the # layout="constrained" keyword argument will do the adjusting # automatically.

fig, ax = plt.subplots(layout="constrained")
example_plot(ax, fontsize=24)

When you have multiple subplots, often you see labels of different axes overlapping each other.

fig, axs = plt.subplots(2, 2, layout=None)
for ax in axs.flat:
    example_plot(ax)

Specifying layout="constrained" in the call to plt.subplots causes the layout to be properly constrained.

fig, axs = plt.subplots(2, 2, layout="constrained")
for ax in axs.flat:
    example_plot(ax)

Colorbars#

If you create a colorbar with Figure.colorbar, you need to make room for it. constrained_layout does this automatically. Note that if you specify use_gridspec=True it will be ignored because this option is made for improving the layout via tight_layout.

Note

For the pcolormesh keyword arguments (pc_kwargs) we use a dictionary. Below we will assign one colorbar to a number of axes each containing a ScalarMappable; specifying the norm and colormap ensures the colorbar is accurate for all the axes.

arr = np.arange(100).reshape((10, 10))
norm = mcolors.Normalize(vmin=0., vmax=100.)
# see note above: this makes all pcolormesh calls consistent:
pc_kwargs = {'rasterized': True, 'cmap': 'viridis', 'norm': norm}
fig, ax = plt.subplots(figsize=(4, 4), layout="constrained")
im = ax.pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=ax, shrink=0.6)
<matplotlib.colorbar.Colorbar object at 0x7f2cfafb53c0>

If you specify a list of axes (or other iterable container) to the ax argument of colorbar, constrained_layout will take space from the specified axes.

fig, axs = plt.subplots(2, 2, figsize=(4, 4), layout="constrained")
for ax in axs.flat:
    im = ax.pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=axs, shrink=0.6)
<matplotlib.colorbar.Colorbar object at 0x7f2cfb6eed70>

If you specify a list of axes from inside a grid of axes, the colorbar will steal space appropriately, and leave a gap, but all subplots will still be the same size.

fig, axs = plt.subplots(3, 3, figsize=(4, 4), layout="constrained")
for ax in axs.flat:
    im = ax.pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=axs[1:, ][:, 1], shrink=0.8)
fig.colorbar(im, ax=axs[:, -1], shrink=0.6)
<matplotlib.colorbar.Colorbar object at 0x7f2cdd1a3340>

Suptitle#

constrained_layout can also make room for suptitle.

fig, axs = plt.subplots(2, 2, figsize=(4, 4), layout="constrained")
for ax in axs.flat:
    im = ax.pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=axs, shrink=0.6)
fig.suptitle('Big Suptitle')
Text(0.5, 0.9895825, 'Big Suptitle')

Legends#

Legends can be placed outside of their parent axis. Constrained-layout is designed to handle this for Axes.legend(). However, constrained-layout does not handle legends being created via Figure.legend() (yet).

fig, ax = plt.subplots(layout="constrained")
ax.plot(np.arange(10), label='This is a plot')
ax.legend(loc='center left', bbox_to_anchor=(0.8, 0.5))
<matplotlib.legend.Legend object at 0x7f2cfb266d70>

However, this will steal space from a subplot layout:

fig, axs = plt.subplots(1, 2, figsize=(4, 2), layout="constrained")
axs[0].plot(np.arange(10))
axs[1].plot(np.arange(10), label='This is a plot')
axs[1].legend(loc='center left', bbox_to_anchor=(0.8, 0.5))
<matplotlib.legend.Legend object at 0x7f2cf99852a0>

In order for a legend or other artist to not steal space from the subplot layout, we can leg.set_in_layout(False). Of course this can mean the legend ends up cropped, but can be useful if the plot is subsequently called with fig.savefig('outname.png', bbox_inches='tight'). Note, however, that the legend's get_in_layout status will have to be toggled again to make the saved file work, and we must manually trigger a draw if we want constrained_layout to adjust the size of the axes before printing.

fig, axs = plt.subplots(1, 2, figsize=(4, 2), layout="constrained")

axs[0].plot(np.arange(10))
axs[1].plot(np.arange(10), label='This is a plot')
leg = axs[1].legend(loc='center left', bbox_to_anchor=(0.8, 0.5))
leg.set_in_layout(False)
# trigger a draw so that constrained_layout is executed once
# before we turn it off when printing....
fig.canvas.draw()
# we want the legend included in the bbox_inches='tight' calcs.
leg.set_in_layout(True)
# we don't want the layout to change at this point.
fig.set_layout_engine(None)
try:
    fig.savefig('../../doc/_static/constrained_layout_1b.png',
                bbox_inches='tight', dpi=100)
except FileNotFoundError:
    # this allows the script to keep going if run interactively and
    # the directory above doesn't exist
    pass

The saved file looks like:

A better way to get around this awkwardness is to simply use the legend method provided by Figure.legend:

fig, axs = plt.subplots(1, 2, figsize=(4, 2), layout="constrained")
axs[0].plot(np.arange(10))
lines = axs[1].plot(np.arange(10), label='This is a plot')
labels = [l.get_label() for l in lines]
leg = fig.legend(lines, labels, loc='center left',
                 bbox_to_anchor=(0.8, 0.5), bbox_transform=axs[1].transAxes)
try:
    fig.savefig('../../doc/_static/constrained_layout_2b.png',
                bbox_inches='tight', dpi=100)
except FileNotFoundError:
    # this allows the script to keep going if run interactively and
    # the directory above doesn't exist
    pass

The saved file looks like:

Padding and Spacing#

Padding between axes is controlled in the horizontal by w_pad and wspace, and vertical by h_pad and hspace. These can be edited via set. w/h_pad are the minimum space around the axes in units of inches:

fig, axs = plt.subplots(2, 2, layout="constrained")
for ax in axs.flat:
    example_plot(ax, hide_labels=True)
fig.get_layout_engine().set(w_pad=4 / 72, h_pad=4 / 72, hspace=0,
                            wspace=0)

Spacing between subplots is further set by wspace and hspace. These are specified as a fraction of the size of the subplot group as a whole. If these values are smaller than w_pad or h_pad, then the fixed pads are used instead. Note in the below how the space at the edges doesn't change from the above, but the space between subplots does.

fig, axs = plt.subplots(2, 2, layout="constrained")
for ax in axs.flat:
    example_plot(ax, hide_labels=True)
fig.get_layout_engine().set(w_pad=4 / 72, h_pad=4 / 72, hspace=0.2,
                            wspace=0.2)

If there are more than two columns, the wspace is shared between them, so here the wspace is divided in 2, with a wspace of 0.1 between each column:

fig, axs = plt.subplots(2, 3, layout="constrained")
for ax in axs.flat:
    example_plot(ax, hide_labels=True)
fig.get_layout_engine().set(w_pad=4 / 72, h_pad=4 / 72, hspace=0.2,
                            wspace=0.2)

GridSpecs also have optional hspace and wspace keyword arguments, that will be used instead of the pads set by constrained_layout:

fig, axs = plt.subplots(2, 2, layout="constrained",
                        gridspec_kw={'wspace': 0.3, 'hspace': 0.2})
for ax in axs.flat:
    example_plot(ax, hide_labels=True)
# this has no effect because the space set in the gridspec trumps the
# space set in constrained_layout.
fig.get_layout_engine().set(w_pad=4 / 72, h_pad=4 / 72, hspace=0.0,
                            wspace=0.0)

Spacing with colorbars#

Colorbars are placed a distance pad from their parent, where pad is a fraction of the width of the parent(s). The spacing to the next subplot is then given by w/hspace.

fig, axs = plt.subplots(2, 2, layout="constrained")
pads = [0, 0.05, 0.1, 0.2]
for pad, ax in zip(pads, axs.flat):
    pc = ax.pcolormesh(arr, **pc_kwargs)
    fig.colorbar(pc, ax=ax, shrink=0.6, pad=pad)
    ax.set_xticklabels([])
    ax.set_yticklabels([])
    ax.set_title(f'pad: {pad}')
fig.get_layout_engine().set(w_pad=2 / 72, h_pad=2 / 72, hspace=0.2,
                            wspace=0.2)

rcParams#

There are five rcParams that can be set, either in a script or in the matplotlibrc file. They all have the prefix figure.constrained_layout:

  • use: Whether to use constrained_layout. Default is False

  • w_pad, h_pad: Padding around axes objects. Float representing inches. Default is 3./72. inches (3 pts)

  • wspace, hspace: Space between subplot groups. Float representing a fraction of the subplot widths being separated. Default is 0.02.

plt.rcParams['figure.constrained_layout.use'] = True
fig, axs = plt.subplots(2, 2, figsize=(3, 3))
for ax in axs.flat:
    example_plot(ax)

Use with GridSpec#

constrained_layout is meant to be used with subplots(), subplot_mosaic(), or GridSpec() with add_subplot().

Note that in what follows layout="constrained"

plt.rcParams['figure.constrained_layout.use'] = False
fig = plt.figure(layout="constrained")

gs1 = gridspec.GridSpec(2, 1, figure=fig)
ax1 = fig.add_subplot(gs1[0])
ax2 = fig.add_subplot(gs1[1])

example_plot(ax1)
example_plot(ax2)

More complicated gridspec layouts are possible. Note here we use the convenience functions add_gridspec and subgridspec.

fig = plt.figure(layout="constrained")

gs0 = fig.add_gridspec(1, 2)

gs1 = gs0[0].subgridspec(2, 1)
ax1 = fig.add_subplot(gs1[0])
ax2 = fig.add_subplot(gs1[1])

example_plot(ax1)
example_plot(ax2)

gs2 = gs0[1].subgridspec(3, 1)

for ss in gs2:
    ax = fig.add_subplot(ss)
    example_plot(ax)
    ax.set_title("")
    ax.set_xlabel("")

ax.set_xlabel("x-label", fontsize=12)
Text(0.5, 41.33399999999999, 'x-label')

Note that in the above the left and right columns don't have the same vertical extent. If we want the top and bottom of the two grids to line up then they need to be in the same gridspec. We need to make this figure larger as well in order for the axes not to collapse to zero height:

fig = plt.figure(figsize=(4, 6), layout="constrained")

gs0 = fig.add_gridspec(6, 2)

ax1 = fig.add_subplot(gs0[:3, 0])
ax2 = fig.add_subplot(gs0[3:, 0])

example_plot(ax1)
example_plot(ax2)

ax = fig.add_subplot(gs0[0:2, 1])
example_plot(ax, hide_labels=True)
ax = fig.add_subplot(gs0[2:4, 1])
example_plot(ax, hide_labels=True)
ax = fig.add_subplot(gs0[4:, 1])
example_plot(ax, hide_labels=True)
fig.suptitle('Overlapping Gridspecs')
Text(0.5, 0.993055, 'Overlapping Gridspecs')

This example uses two gridspecs to have the colorbar only pertain to one set of pcolors. Note how the left column is wider than the two right-hand columns because of this. Of course, if you wanted the subplots to be the same size you only needed one gridspec. Note that the same effect can be achieved using subfigures.

fig = plt.figure(layout="constrained")
gs0 = fig.add_gridspec(1, 2, figure=fig, width_ratios=[1, 2])
gs_left = gs0[0].subgridspec(2, 1)
gs_right = gs0[1].subgridspec(2, 2)

for gs in gs_left:
    ax = fig.add_subplot(gs)
    example_plot(ax)
axs = []
for gs in gs_right:
    ax = fig.add_subplot(gs)
    pcm = ax.pcolormesh(arr, **pc_kwargs)
    ax.set_xlabel('x-label')
    ax.set_ylabel('y-label')
    ax.set_title('title')
    axs += [ax]
fig.suptitle('Nested plots using subgridspec')
fig.colorbar(pcm, ax=axs)
<matplotlib.colorbar.Colorbar object at 0x7f2cdf471c30>

Rather than using subgridspecs, Matplotlib now provides subfigures which also work with constrained_layout:

fig = plt.figure(layout="constrained")
sfigs = fig.subfigures(1, 2, width_ratios=[1, 2])

axs_left = sfigs[0].subplots(2, 1)
for ax in axs_left.flat:
    example_plot(ax)

axs_right = sfigs[1].subplots(2, 2)
for ax in axs_right.flat:
    pcm = ax.pcolormesh(arr, **pc_kwargs)
    ax.set_xlabel('x-label')
    ax.set_ylabel('y-label')
    ax.set_title('title')
fig.colorbar(pcm, ax=axs_right)
fig.suptitle('Nested plots using subfigures')
Text(0.5, 0.9895825, 'Nested plots using subfigures')

Manually setting axes positions#

There can be good reasons to manually set an Axes position. A manual call to set_position will set the axes so constrained_layout has no effect on it anymore. (Note that constrained_layout still leaves the space for the axes that is moved).

fig, axs = plt.subplots(1, 2, layout="constrained")
example_plot(axs[0], fontsize=12)
axs[1].set_position([0.2, 0.2, 0.4, 0.4])

Grids of fixed aspect-ratio Axes: "compressed" layout#

constrained_layout operates on the grid of "original" positions for axes. However, when Axes have fixed aspect ratios, one side is usually made shorter, and leaves large gaps in the shortened direction. In the following, the Axes are square, but the figure quite wide so there is a horizontal gap:

fig, axs = plt.subplots(2, 2, figsize=(5, 3),
                        sharex=True, sharey=True, layout="constrained")
for ax in axs.flat:
    ax.imshow(arr)
fig.suptitle("fixed-aspect plots, layout='constrained'")
Text(0.5, 0.98611, "fixed-aspect plots, layout='constrained'")

One obvious way of fixing this is to make the figure size more square, however, closing the gaps exactly requires trial and error. For simple grids of Axes we can use layout="compressed" to do the job for us:

fig, axs = plt.subplots(2, 2, figsize=(5, 3),
                        sharex=True, sharey=True, layout='compressed')
for ax in axs.flat:
    ax.imshow(arr)
fig.suptitle("fixed-aspect plots, layout='compressed'")
Text(0.5, 0.98611, "fixed-aspect plots, layout='compressed'")

Manually turning off constrained_layout#

constrained_layout usually adjusts the axes positions on each draw of the figure. If you want to get the spacing provided by constrained_layout but not have it update, then do the initial draw and then call fig.set_layout_engine(None). This is potentially useful for animations where the tick labels may change length.

Note that constrained_layout is turned off for ZOOM and PAN GUI events for the backends that use the toolbar. This prevents the axes from changing position during zooming and panning.

Limitations#

Incompatible functions#

constrained_layout will work with pyplot.subplot, but only if the number of rows and columns is the same for each call. The reason is that each call to pyplot.subplot will create a new GridSpec instance if the geometry is not the same, and constrained_layout. So the following works fine:

fig = plt.figure(layout="constrained")

ax1 = plt.subplot(2, 2, 1)
ax2 = plt.subplot(2, 2, 3)
# third axes that spans both rows in second column:
ax3 = plt.subplot(2, 2, (2, 4))

example_plot(ax1)
example_plot(ax2)
example_plot(ax3)
plt.suptitle('Homogenous nrows, ncols')
Text(0.5, 0.9895825, 'Homogenous nrows, ncols')

but the following leads to a poor layout:

fig = plt.figure(layout="constrained")

ax1 = plt.subplot(2, 2, 1)
ax2 = plt.subplot(2, 2, 3)
ax3 = plt.subplot(1, 2, 2)

example_plot(ax1)
example_plot(ax2)
example_plot(ax3)
plt.suptitle('Mixed nrows, ncols')
Text(0.5, 0.9895825, 'Mixed nrows, ncols')

Similarly, subplot2grid works with the same limitation that nrows and ncols cannot change for the layout to look good.

fig = plt.figure(layout="constrained")

ax1 = plt.subplot2grid((3, 3), (0, 0))
ax2 = plt.subplot2grid((3, 3), (0, 1), colspan=2)
ax3 = plt.subplot2grid((3, 3), (1, 0), colspan=2, rowspan=2)
ax4 = plt.subplot2grid((3, 3), (1, 2), rowspan=2)

example_plot(ax1)
example_plot(ax2)
example_plot(ax3)
example_plot(ax4)
fig.suptitle('subplot2grid')
Text(0.5, 0.9895825, 'subplot2grid')

Other Caveats#

  • constrained_layout only considers ticklabels, axis labels, titles, and legends. Thus, other artists may be clipped and also may overlap.

  • It assumes that the extra space needed for ticklabels, axis labels, and titles is independent of original location of axes. This is often true, but there are rare cases where it is not.

  • There are small differences in how the backends handle rendering fonts, so the results will not be pixel-identical.

  • An artist using axes coordinates that extend beyond the axes boundary will result in unusual layouts when added to an axes. This can be avoided by adding the artist directly to the Figure using add_artist(). See ConnectionPatch for an example.

Debugging#

Constrained-layout can fail in somewhat unexpected ways. Because it uses a constraint solver the solver can find solutions that are mathematically correct, but that aren't at all what the user wants. The usual failure mode is for all sizes to collapse to their smallest allowable value. If this happens, it is for one of two reasons:

  1. There was not enough room for the elements you were requesting to draw.

  2. There is a bug - in which case open an issue at https://github.com/matplotlib/matplotlib/issues.

If there is a bug, please report with a self-contained example that does not require outside data or dependencies (other than numpy).

Notes on the algorithm#

The algorithm for the constraint is relatively straightforward, but has some complexity due to the complex ways we can layout a figure.

Layout in Matplotlib is carried out with gridspecs via the GridSpec class. A gridspec is a logical division of the figure into rows and columns, with the relative width of the Axes in those rows and columns set by width_ratios and height_ratios.

In constrained_layout, each gridspec gets a layoutgrid associated with it. The layoutgrid has a series of left and right variables for each column, and bottom and top variables for each row, and further it has a margin for each of left, right, bottom and top. In each row, the bottom/top margins are widened until all the decorators in that row are accommodated. Similarly for columns and the left/right margins.

Simple case: one Axes#

For a single Axes the layout is straight forward. There is one parent layoutgrid for the figure consisting of one column and row, and a child layoutgrid for the gridspec that contains the axes, again consisting of one row and column. Space is made for the "decorations" on each side of the axes. In the code, this is accomplished by the entries in do_constrained_layout() like:

gridspec._layoutgrid[0, 0].edit_margin_min('left',
      -bbox.x0 + pos.x0 + w_pad)

where bbox is the tight bounding box of the axes, and pos its position. Note how the four margins encompass the axes decorations.

from matplotlib._layoutgrid import plot_children

fig, ax = plt.subplots(layout="constrained")
example_plot(ax, fontsize=24)
plot_children(fig)

Simple case: two Axes#

When there are multiple axes they have their layouts bound in simple ways. In this example the left axes has much larger decorations than the right, but they share a bottom margin, which is made large enough to accommodate the larger xlabel. Same with the shared top margin. The left and right margins are not shared, and hence are allowed to be different.

fig, ax = plt.subplots(1, 2, layout="constrained")
example_plot(ax[0], fontsize=32)
example_plot(ax[1], fontsize=8)
plot_children(fig)

Two Axes and colorbar#

A colorbar is simply another item that expands the margin of the parent layoutgrid cell:

fig, ax = plt.subplots(1, 2, layout="constrained")
im = ax[0].pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=ax[0], shrink=0.6)
im = ax[1].pcolormesh(arr, **pc_kwargs)
plot_children(fig)

Colorbar associated with a Gridspec#

If a colorbar belongs to more than one cell of the grid, then it makes a larger margin for each:

fig, axs = plt.subplots(2, 2, layout="constrained")
for ax in axs.flat:
    im = ax.pcolormesh(arr, **pc_kwargs)
fig.colorbar(im, ax=axs, shrink=0.6)
plot_children(fig)

Uneven sized Axes#

There are two ways to make axes have an uneven size in a Gridspec layout, either by specifying them to cross Gridspecs rows or columns, or by specifying width and height ratios.

The first method is used here. Note that the middle top and bottom margins are not affected by the left-hand column. This is a conscious decision of the algorithm, and leads to the case where the two right-hand axes have the same height, but it is not 1/2 the height of the left-hand axes. This is consistent with how gridspec works without constrained layout.

fig = plt.figure(layout="constrained")
gs = gridspec.GridSpec(2, 2, figure=fig)
ax = fig.add_subplot(gs[:, 0])
im = ax.pcolormesh(arr, **pc_kwargs)
ax = fig.add_subplot(gs[0, 1])
im = ax.pcolormesh(arr, **pc_kwargs)
ax = fig.add_subplot(gs[1, 1])
im = ax.pcolormesh(arr, **pc_kwargs)
plot_children(fig)

One case that requires finessing is if margins do not have any artists constraining their width. In the case below, the right margin for column 0 and the left margin for column 3 have no margin artists to set their width, so we take the maximum width of the margin widths that do have artists. This makes all the axes have the same size:

fig = plt.figure(layout="constrained")
gs = fig.add_gridspec(2, 4)
ax00 = fig.add_subplot(gs[0, 0:2])
ax01 = fig.add_subplot(gs[0, 2:])
ax10 = fig.add_subplot(gs[1, 1:3])
example_plot(ax10, fontsize=14)
plot_children(fig)
plt.show()

Total running time of the script: ( 0 minutes 18.885 seconds)

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