maintaining consistent matplotlib axes limits - python

I'm trying to produce a series of figures showing geometric shapes of different sizes (one shape in each figure) but consistent, equal-spacing axes across each figure. I can't seem to get axis('equal') to play nice with set_xlim in matplotlib.
Here's the closest I've come so far:
pts0 = np.array([[13,34], [5,1], [ 0,0], [7,36], [13,34]], dtype=np.uint8)
pts1 = np.array([[10,82], [119,64], [149,63], [136,0], [82,14], [81,18],
[26,34], [3,29], [0,34], [10,82]], dtype=np.uint8)
shapes = [pts0,pts1]
for i in range(2):
pts = shapes[i]
fig = plt.figure()
ax1 = fig.add_subplot(111)
plotShape = patches.Polygon(pts, True, fill=True)
p = PatchCollection([plotShape], cmap=cm.Greens)
color = [99]
p.set_clim([0, 100])
p.set_array(np.array(color))
ax1.add_collection(p)
ax1.axis('equal')
ax1.set_xlim(-5,200)
ax1.set_ylim(-5,200)
ax1.set_title('pts'+str(i))
plt.show()
In my system, this results in two figures with the same axes, but neither one of them shows y=0 or the lower portion of the shape. If I remove the line ax1.set_ylim(-5,200), then figure "pts1" looks correct, but the limits of figure "pts0" are such that the shape doesn't show up at all.
My ideal situation is to "anchor" the lower-left corner of the figures at (-5,-5), define xlim as 200, and allow the scaling of the x axis and the value of ymax to "float" as the figure windows are resized, but right now I'd be happy just to consistently get the shapes inside the figures.
Any help would be greatly appreciated!

You can define one of your axes independently first and then when you define the second axis use the sharex or sharey arguments
new_ax = fig.add_axes([<bounds>], sharex=old_ax)

Related

matplotlib change colorbar height within own axes

I'm currently trying to create a stackplot of graphs, of which my first two have colorbars. To do this nicely, I'm using GridSpec to define two columns, with the second being much thinner and specifically for colorbars (or other out-of-plot things like legends).
grids = gs.GridSpec(5, 2, width_ratios=[1, 0.01])
ax1 = fig.add_subplot(grids[0, 0])
cax1 = fig.add_subplot(grids[0, 1])
The problem is that for these top two plots, the ticklabels of my colorbar overlap slightly, due to the fact that I've got zero horizontal space between my plots.
I know that there are ways to control the height of the colorbar, but they seem to rely on the colorbar making it's own axes by borrowing space from the parent axes. I was wondering if there was any way to control how much space (or specifically, height) the colorbar takes up when you use the cax kwarg
fig.colorbar(im1, cax=cax1, extend='max')
or if it defaults (immutably) to take up the entire height of the axes given to it.
Thanks!
EDIT: Here's an image of the issue I'm struggling with.
If I could make the second slightly shorter, or shift the upper one slightly up then it wouldn't be an issue. Unfortunately since I've used GridSpec (which has been amazing otherwise) I'm constrained to the limits of the axes.
I don't think there is any way to ask colorbar to not fill the whole cax. However, it is fairly trivial to shrink the size of the cax before (or after actually) plotting the colorbar.
I wrote this small function:
def shrink_cbar(ax, shrink=0.9):
b = ax.get_position()
new_h = b.height*shrink
pad = (b.height-new_h)/2.
new_y0 = b.y0 + pad
new_y1 = b.y1 - pad
b.y0 = new_y0
b.y1 = new_y1
ax.set_position(b)
which can be used like so:
fig = plt.figure()
grids = gs.GridSpec(2, 2, width_ratios=[1, 0.01])
ax1 = fig.add_subplot(grids[0, 0])
cax1 = fig.add_subplot(grids[0, 1])
ax2 = fig.add_subplot(grids[1, 0])
cax2 = fig.add_subplot(grids[1, 1])
shrink_cbar(cax2, 0.75)

Using color scales as axes in matplotlib

I'm trying to create a visualization that varies color (specifically the H and V values of an HSV color scheme while keeping S constant), while representing the response of a given function to those colors.
Effectively, it's a heat map where the x and y axes are colors rather than numbers. Hunting through the matplotlib gallery I can find a lot of examples based on colorbars such as those found here, and here.
The colorbar implementation is close to what I'm looking for, with these important caveats:
I'm looking to align the colors as ticks on the main figure, rather than adding ticks to the colorbar itself. Principally this calls for making sure the plot and the colorbar are aligned, and I haven't found any way of actually guaranteeing this.
I'm trying to ensure that the color bar will display on the left of the figure (in place of the standard x-axis) rather than to the right.
The second point sounds trivial, but I haven't found any documented way of achieving it unfortunately.
Is there any way of creating a plot like this in matplotlib that would be considerably less effort than creating it from scratch in d3 or a similar lower-level visualization library?
I'm still not quite sure about it; but I'll give a try. Sorry if I misunderstood it.
Major thoughts are using GridSpec to solve your two requirements: aligning the "color axes" and put them beside the classic axes. The alignment should be correct because corresponding axes between ax_x/ax_y and the main ax are the same.
import matplotlib.pyplot as plt
from matplotlib.colors import hsv_to_rgb
from matplotlib.gridspec import GridSpec
import numpy as np
# Create a spectrum sample
# Convert HSV to RGB so that matplotlib can plot;
# hsv_to_rgb assumes values to be in range [0, 1]
N = 0.001
v_y, h_x = np.mgrid[0:1:N, 0:1:N]
c = hsv_to_rgb(np.stack([h_x, np.ones(h_x.shape), v_y], axis=2))
c_x = hsv_to_rgb(np.stack([h_x, np.ones(h_x.shape), np.zeros(v_y.shape)], axis=2))
c_y = hsv_to_rgb(np.stack([np.zeros(h_x.shape), np.ones(h_x.shape), v_y], axis=2))
fig = plt.figure()
# Ratio to adjust width for "x axis" and "y axis"
fig_ratio = np.divide(*fig.get_size_inches())
gs = GridSpec(2, 2, wspace=0.0, hspace=0.0,
width_ratios=[1, 20], height_ratios=[20/fig_ratio, 1])
# Lower-left corner is ignored
ax_y = plt.subplot(gs[0])
ax = plt.subplot(gs[1])
ax_x = plt.subplot(gs[3])
# Image are stretched to fit the ax since numbers are hided or not important in this figure.
img = ax.imshow(c, aspect='auto', origin='lower')
# Colorbar on img won't give correct results since it is plot with raw RGB values
img_x = ax_x.imshow(c_x, aspect='auto', origin='lower')
img_y = ax_y.imshow(c_y, aspect='auto', origin='lower')
# Remove ticks and ticklabels
for ax in [ax_y, ax, ax_x]:
ax.tick_params(left=False, bottom=False,
labelleft=False, labelbottom=False)
plt.show()
Response to the comment:
To clarify, you're making three plots, and using imshow plots as axes by assigning them to quadrants of the grid?
Yes, it's a 2x2 grid and I ignored the lower-left one. The documentation might not be great but what I did is similar to this part.
And presumably if I wanted to add space between the axes here and the main plot I would increase wspace and hspace?
Yes, it is briefly demonstrated in this part of documentation. Besides, I adjusted it with width_ratios and height_ratios so that 3 parts of the figure are not the same size, like this.
Also, just to confirm, there is a fully black axis on the bottom of this image, and it's not a misalignment of the left axis.
The bottom is the colored x axis. It is black because I thought it corresponds to v=0. If you change
c_x = hsv_to_rgb(np.stack([h_x, np.ones(h_x.shape), np.zeros(v_y.shape)], axis=2))
to
c_x = hsv_to_rgb(np.stack([h_x, np.ones(h_x.shape), np.ones(v_y.shape)], axis=2))
You would get this figure, proving it's not misaligned:
If it's easier, you can also ignore the whole hsv thing, use a gray box or something as the central image.
I'm sorry but I'm really slow on this. I'm still having no idea what you want to show in the figure. So I don't know how to help. If you remove or comment out the line
img = ax.imshow(c, aspect='auto', origin='lower')
You got this:

Matplotlib: Constrain plot width while allowing flexible height

What I would like to achive are plots with equal scale aspect ratio, and fixed width, but a dynamically chosen height.
To make this more concrete, consider the following plotting example:
import matplotlib as mpl
import matplotlib.pyplot as plt
def example_figure(slope):
# Create a new figure
fig = plt.figure()
ax = fig.add_subplot(111)
# Set axes to equal aspect ratio
ax.set_aspect('equal')
# Plot a line with a given slope,
# starting from the origin
ax.plot([x * slope for x in range(5)])
# Output the result
return fig
This example code will result in figures of different widths, depending on the data:
example_figure(1).show()
example_figure(2).show()
Matplotlib seems to fit the plots into a certain height, and then chooses the width to accomodate the aspect ratio. The ideal outcome for me would be the opposite -- the two plots above would have the same width, but the second plot would be twice as tall as the first.
Bonus — Difficulty level: Gridspec
In the long run, I would like to create a grid in which one of the plots has a fixed aspect ratio, and I would again like to align the graphs exactly.
# Create a 2x1 grid
import matplotlib.gridspec as gridspec
gs = gridspec.GridSpec(2, 1)
# Create the overall graphic, containing
# the top and bottom figures
fig = plt.figure()
ax1 = fig.add_subplot(gs[0, :], aspect='equal')
ax2 = fig.add_subplot(gs[1, :])
# Plot the lines as before
ax1.plot(range(5))
ax2.plot(range(5))
# Show the figure
fig.show()
The result is this:
So again, my question is: How does one create graphs that vary flexibly in height depending on the data, while having a fixed width?
Two points to avoid potential misunderstandings:
In the above example, both graphs have the same x-axis. This cannot be
taken for granted.
I am aware of the height_ratios option in the gridspec. I can compute
the dimensions of the data, and set the ratios, but this unfortunately
does not control the graphs directly, but rather their bounding boxes,
so (depending on the axis labels), graphs of different widths still occur.
Ideally, the plots' canvas would be aligned exactly.
Another unsolved question is similar, but slightly more convoluted.
Any ideas and suggestions are very welcome, and I'm happy to specify the question further, if required. Thank you very much for considering this!
Have you tried to fix the width with fig.set_figwidth()?

Matplotlib: Adjust legend location/position

I'm creating a figure with multiple subplots. One of these subplots is giving me some trouble, as none of the axes corners or centers are free (or can be freed up) for placing the legend. What I'd like to do is to have the legend placed somewhere in between the 'upper left' and 'center left' locations, while keeping the padding between it and the y-axis equal to the legends in the other subplots (that are placed using one of the predefined legend location keywords).
I know I can specify a custom position by using loc=(x,y), but then I can't figure out how to get the padding between the legend and the y-axis to be equal to that used by the other legends. Would it be possible to somehow use the borderaxespad property of the first legend? Though I'm not succeeding at getting that to work.
Any suggestions would be most welcome!
Edit: Here is a (very simplified) illustration of the problem:
import matplotlib.pyplot as plt
fig, ax = plt.subplots(1, 2, sharex=False, sharey=False)
ax[0].axhline(y=1, label='one')
ax[0].axhline(y=2, label='two')
ax[0].set_ylim([0.8,3.2])
ax[0].legend(loc=2)
ax[1].axhline(y=1, label='one')
ax[1].axhline(y=2, label='two')
ax[1].axhline(y=3, label='three')
ax[1].set_ylim([0.8,3.2])
ax[1].legend(loc=2)
plt.show()
What I'd like is that the legend in the right plot is moved down somewhat so it no longer overlaps with the line.
As a last resort I could change the axis limits, but I would very much like to avoid that.
I saw the answer you posted and tried it out. The problem however is that it is also depended on the figure size.
Here's a new try:
import numpy
import matplotlib.pyplot as plt
x = numpy.linspace(0, 10, 10000)
y = numpy.cos(x) + 2.
x_value = .014 #Offset by eye
y_value = .55
fig, ax = plt.subplots(1, 2, sharex = False, sharey = False)
fig.set_size_inches(50,30)
ax[0].plot(x, y, label = "cos")
ax[0].set_ylim([0.8,3.2])
ax[0].legend(loc=2)
line1 ,= ax[1].plot(x,y)
ax[1].set_ylim([0.8,3.2])
axbox = ax[1].get_position()
fig.legend([line1], ["cos"], loc = (axbox.x0 + x_value, axbox.y0 + y_value))
plt.show()
So what I am now doing is basically getting the coordinates from the subplot. I then create the legend based on the dimensions of the entire figure. Hence, the figure size does not change anything to the legend positioning anymore.
With the values for x_value and y_value the legend can be positioned in the subplot. x_value has been eyeballed for a good correspondence with the "normal" legend. This value can be changed at your desire. y_value determines the height of the legend.
Good luck!
After spending way too much time on this, I've come up with the following satisfactory solution (the Transformations Tutorial definitely helped):
bapad = plt.rcParams['legend.borderaxespad']
fontsize = plt.rcParams['font.size']
axline = plt.rcParams['axes.linewidth'] #need this, otherwise the result will be off by a few pixels
pad_points = bapad*fontsize + axline #padding is defined in relative to font size
pad_inches = pad_points/72.0 #convert from points to inches
pad_pixels = pad_inches*fig.dpi #convert from inches to pixels using the figure's dpi
Then, I found that both of the following work and give the same value for the padding:
# Define inverse transform, transforms display coordinates (pixels) to axes coordinates
inv = ax[1].transAxes.inverted()
# Inverse transform two points on the display and find the relative distance
pad_axes = inv.transform((pad_pixels, 0)) - inv.transform((0,0))
pad_xaxis = pad_axes[0]
or
# Find how may pixels there are on the x-axis
x_pixels = ax[1].transAxes.transform((1,0)) - ax[1].transAxes.transform((0,0))
# Compute the ratio between the pixel offset and the total amount of pixels
pad_xaxis = pad_pixels/x_pixels[0]
And then set the legend with:
ax[1].legend(loc=(pad_xaxis,0.6))
Plot:

changing size of a plot in a subplot figure

i create a figure with 4 subplots (2 x 2), where 3 of them are of the type imshow and the other is errorbar. Each imshow plots have in addition a colorbar at the right side of them. I would like to resize my 3rd plot, that the area of the graph would be exactly under the one above it (with out colorbar)
as example (this is what i now have):
How could i resize the 3rd plot?
Regards
To adjust the dimensions of an axes instance, you need to use the set_position() method. This applies to subplotAxes as well. To get the current position/dimensions of the axis, use the get_position() method, which returns a Bbox instance. For me, it's conceptually easier to just interact with the position, ie [left,bottom,right,top] limits. To access this information from a Bbox, the bounds property.
Here I apply these methods to something similar to your example above:
import matplotlib.pyplot as plt
import numpy as np
x,y = np.random.rand(2,10)
img = np.random.rand(10,10)
fig = plt.figure()
ax1 = fig.add_subplot(221)
im = ax1.imshow(img,extent=[0,1,0,1])
plt.colorbar(im)
ax2 = fig.add_subplot(222)
im = ax2.imshow(img,extent=[0,1,0,1])
plt.colorbar(im)
ax3 = fig.add_subplot(223)
ax3.plot(x,y)
ax3.axis([0,1,0,1])
ax4 = fig.add_subplot(224)
im = ax4.imshow(img,extent=[0,1,0,1])
plt.colorbar(im)
pos4 = ax4.get_position().bounds
pos1 = ax1.get_position().bounds
# set the x limits (left and right) to first axes limits
# set the y limits (bottom and top) to the last axes limits
newpos = [pos1[0],pos4[1],pos1[2],pos4[3]]
ax3.set_position(newpos)
plt.show()
You may feel that the two plots do not exactly look the same (in my rendering, the left or xmin position is not quite right), so feel free to adjust the position until you get the desired effect.

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