Make all data points of a matplotlib plot homogeneously transparent - python

I'd like to plot two scatter plots into the same Axes and turn the upper one's data points transparent such that the other plot shines through. However, I want the whole upper plot to have a homogeneous transparency level, such that superimposed markers of the upper plot do not add up their opacity as they would do if I simply set alpha=0.5.
In other words, I'd like both scatter plots to be rendered first and being set to one constant transparency level. Technically this should be possible for both raster and vector graphics (as SVG supports layer transparency, afaik), but either would be fine for me.
Here is some example code that displays what I do not want to achieve. ;)
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure(1, figsize=(6,4), dpi=160)
ax = fig.gca()
s1 = ax.scatter(np.random.randn(1000), np.random.randn(1000), color="b", edgecolors="none")
s2 = ax.scatter(np.random.randn(1000), np.random.randn(1000), color="g", edgecolors="none")
s2.set_alpha(0.5) # sadly the same as setting `alpha=0.5`
fig.show() # or display(fig)
I'd like the green markers around (2,2) to not be darker where they superimpose, for example. Is this possible with matplotlib?
Thanks for your time! :)

After searching some more, I found related questions and two solutions, of which at least one kind of works for me:
As I hoped one can render one layer and then afterwards blend them together like this:
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure(1, figsize=(6,4), dpi=160)
ax1 = fig.gca()
s1 = ax1.scatter(np.random.randn(1000), np.random.randn(1000), color="#3355ff", edgecolors="none")
ax1.set_xlim(-3.5,3.5)
ax1.set_ylim(-3.5,3.5)
ax1.patch.set_facecolor("none")
ax1.patch.set_edgecolor("none")
fig.canvas.draw()
w, h = fig.canvas.get_width_height()
img1 = np.frombuffer(fig.canvas.buffer_rgba(), np.uint8).reshape(h, w, -1).copy()
ax1.clear()
s2 = ax1.scatter(np.random.randn(1000), np.random.randn(1000), color="#11aa44", edgecolors="none")
ax1.set_xlim(-3.5,3.5)
ax1.set_ylim(-3.5,3.5)
ax1.patch.set_facecolor("none")
ax1.patch.set_edgecolor("none")
fig.canvas.draw()
img2 = np.frombuffer(fig.canvas.buffer_rgba(), np.uint8).reshape(h, w, -1).copy()
fig.clf()
plt.imshow(np.minimum(img1,img2))
plt.subplots_adjust(0, 0, 1, 1)
plt.axis("off")
plt.show()
I may have to come up with better methods than just taking the np.minimum of both layers to keep more color options (and probably save the axes and labels to a third layer).
I did not try mplcairo as suggested in the other linked answer as it has too many dependencies for my use case (my solution should be portable).
I am still happy for additional input. :)

Related

How to use a colored shape as yticks in matplotlib or seaborn?

I am working on a task called knowledge tracing which estimates the student mastery level over time. I would like to plot a similar figure as below using the Matplotlib or Seaborn.
It uses different colors to represent a knowledge concept, instead of a text. However, I have googled and found there is no article is talking about how we can do this.
I tried the following
# simulate a record of student mastery level
student_mastery = np.random.rand(5, 30)
df = pd.DataFrame(student_mastery)
# plot the heatmap using seaborn
marker = matplotlib.markers.MarkerStyle(marker='o', fillstyle='full')
sns_plot = sns.heatmap(df, cmap="RdYlGn", vmin=0.0, vmax=1.0)
y_limit = 5
y_labels = [marker for i in range(y_limit)]
plt.yticks(range(y_limit), y_labels)
Yet it simply returns the __repr__ of the marker, e.g., <matplotlib.markers.MarkerStyle at 0x1c5bb07860> on the yticks.
Thanks in advance!
While How can I make the xtick labels of a plot be simple drawings using matplotlib? gives you a general solution for arbitrary shapes, for the shapes shown here, it may make sense to use unicode symbols as text and colorize them according to your needs.
import matplotlib.pyplot as plt
import numpy as np; np.random.seed(42)
fig, ax = plt.subplots()
ax.imshow(np.random.rand(3,10), cmap="Greys")
symbolsx = ["⚪", "⚪", "⚫", "⚫", "⚪", "⚫","⚪", "⚫", "⚫","⚪"]
colorsx = np.random.choice(["#3ba1ab", "#b43232", "#8ecc3a", "#893bab"], 10)
ax.set_xticks(range(len(symbolsx)))
ax.set_xticklabels(symbolsx, size=40)
for tick, color in zip(ax.get_xticklabels(), colorsx):
tick.set_color(color)
symbolsy = ["◾", "◾", "◾"]
ax.set_yticks(range(len(symbolsy)))
ax.set_yticklabels(symbolsy, size=40)
for tick, color in zip(ax.get_yticklabels(), ["crimson", "gold", "indigo"]):
tick.set_color(color)
plt.show()

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 figure margin

The following code gives me a plot with significant margins above and below the figure. I don't know how to eliminate the noticeable margins. subplots_adjust does not work as expected.
import matplotlib.pyplot as plt
import numpy as np
fig = plt.figure()
ax = fig.add_subplot(111)
ax.plot(range(10),range(10))
ax.set_aspect('equal')
plt.tight_layout()
tight_layout eliminates some of the margin, but not all of the margins.
What I wanted is actually setting the aspect ratio to any customized value and eliminating the white space at the same time.
Update: as Pierre H. puts it, the key is to change the size of the figure container. So my question is: Could you suggest a way to accommodate the size of the figure to the size of the axes with arbitrary aspect ratio?
In other words, first I create a figure and an axes on it, and then I change the size of the axes (by changing aspect ratio for example), which in general will leave a portion of the figure container empty. At this stage, we need to change the size of the figure accordingly to eliminate the blank space on the figure container.
I just discovered how to eliminate all margins from my figures. I didn't use tight_layout(), instead I used:
import matplotlib.pyplot as plt
fig = plt.figure(figsize=(20,20))
ax = plt.subplot(111,aspect = 'equal')
plt.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=0, hspace=0)
Hope this helps.
After plotting your chart you can easily manipulate margins this way:
plot_margin = 0.25
x0, x1, y0, y1 = plt.axis()
plt.axis((x0 - plot_margin,
x1 + plot_margin,
y0 - plot_margin,
y1 + plot_margin))
This example could be changed to the aspect ratio you want or change the margins as you really want.
In other stacktoverflow posts many questions related to margins could make use of this simpler approach.
Best regards.
tight_layout(pad=0) will meet your need.
http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.tight_layout
I think what you need is, and it works well for me.
plt.axis('tight')
This command will automatically scale the axis to fit tightly to the data. Also check the answer of Nuno Aniceto for a customized axis. The documents are in https://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.axis.
Be aware that
plt.savefig(filename, bbox_inches='tight')
will help remove white space of all the figure including labels, etc, but not the white space inside the axes.
You should use add_axes if you want exact control of the figure layout. eg.
left = 0.05
bottom = 0.05
width = 0.9
height = 0.9
ax = fig.add_axes([left, bottom, width, height])
I think the subplot_adjust call is irrelevant here since the adjustment is overridden by tight_layout. Anyway, this only change the size of the axes inside the figure.
As tcaswell pointed it, you need to change the size of the figure. Either at creation (my proposition below) or after, using fig.set_size_inches. I'm here creating a figure with a 1:1 aspect ratio using the figsize=(6,6) argument (of course 6 inches is an arbitrary choice):
import matplotlib.pyplot as plt
import numpy as np
fig = plt.figure(figsize=(6,6))
ax = fig.add_subplot(111)
ax.plot(range(10),range(10))
ax.set_aspect('equal')
plt.tight_layout()
You can use like:
plt.subplots_adjust(wspace=1,hspace=0.5,left=0.1,top=0.9,right=0.9,bottom=0.1)
And delete the item bbox_inches='tight' in plt.savefig().

How can I set the aspect ratio in matplotlib?

I'm trying to make a square plot (using imshow), i.e. aspect ratio of 1:1, but I can't. None of these work:
import matplotlib.pyplot as plt
ax = fig.add_subplot(111,aspect='equal')
ax = fig.add_subplot(111,aspect=1.0)
ax.set_aspect('equal')
plt.axes().set_aspect('equal')
It seems like the calls are just being ignored (a problem I often seem to have with matplotlib).
Third times the charm. My guess is that this is a bug and Zhenya's answer suggests it's fixed in the latest version. I have version 0.99.1.1 and I've created the following solution:
import matplotlib.pyplot as plt
import numpy as np
def forceAspect(ax,aspect=1):
im = ax.get_images()
extent = im[0].get_extent()
ax.set_aspect(abs((extent[1]-extent[0])/(extent[3]-extent[2]))/aspect)
data = np.random.rand(10,20)
fig = plt.figure()
ax = fig.add_subplot(111)
ax.imshow(data)
ax.set_xlabel('xlabel')
ax.set_aspect(2)
fig.savefig('equal.png')
ax.set_aspect('auto')
fig.savefig('auto.png')
forceAspect(ax,aspect=1)
fig.savefig('force.png')
This is 'force.png':
Below are my unsuccessful, yet hopefully informative attempts.
Second Answer:
My 'original answer' below is overkill, as it does something similar to axes.set_aspect(). I think you want to use axes.set_aspect('auto'). I don't understand why this is the case, but it produces a square image plot for me, for example this script:
import matplotlib.pyplot as plt
import numpy as np
data = np.random.rand(10,20)
fig = plt.figure()
ax = fig.add_subplot(111)
ax.imshow(data)
ax.set_aspect('equal')
fig.savefig('equal.png')
ax.set_aspect('auto')
fig.savefig('auto.png')
Produces an image plot with 'equal' aspect ratio:
and one with 'auto' aspect ratio:
The code provided below in the 'original answer' provides a starting off point for an explicitly controlled aspect ratio, but it seems to be ignored once an imshow is called.
Original Answer:
Here's an example of a routine that will adjust the subplot parameters so that you get the desired aspect ratio:
import matplotlib.pyplot as plt
def adjustFigAspect(fig,aspect=1):
'''
Adjust the subplot parameters so that the figure has the correct
aspect ratio.
'''
xsize,ysize = fig.get_size_inches()
minsize = min(xsize,ysize)
xlim = .4*minsize/xsize
ylim = .4*minsize/ysize
if aspect < 1:
xlim *= aspect
else:
ylim /= aspect
fig.subplots_adjust(left=.5-xlim,
right=.5+xlim,
bottom=.5-ylim,
top=.5+ylim)
fig = plt.figure()
adjustFigAspect(fig,aspect=.5)
ax = fig.add_subplot(111)
ax.plot(range(10),range(10))
fig.savefig('axAspect.png')
This produces a figure like so:
I can imagine if your having multiple subplots within the figure, you would want to include the number of y and x subplots as keyword parameters (defaulting to 1 each) to the routine provided. Then using those numbers and the hspace and wspace keywords, you can make all the subplots have the correct aspect ratio.
A simple option using plt.gca() to get current axes and set aspect
plt.gca().set_aspect('equal')
in place of your last line
What is the matplotlib version you are running? I have recently had to upgrade to 1.1.0, and with it, add_subplot(111,aspect='equal') works for me.
After many years of success with the answers above, I have found this not to work again - but I did find a working solution for subplots at
https://jdhao.github.io/2017/06/03/change-aspect-ratio-in-mpl
With full credit of course to the author above (who can perhaps rather post here), the relevant lines are:
ratio = 1.0
xleft, xright = ax.get_xlim()
ybottom, ytop = ax.get_ylim()
ax.set_aspect(abs((xright-xleft)/(ybottom-ytop))*ratio)
The link also has a crystal clear explanation of the different coordinate systems used by matplotlib.
Thanks for all great answers received - especially #Yann's which will remain the winner.
you should try with figaspect. It works for me. From the docs:
Create a figure with specified aspect ratio. If arg is a number, use that aspect ratio. > If arg is an array, figaspect will
determine the width and height for a figure that would fit array
preserving aspect ratio. The figure width, height in inches are
returned. Be sure to create an axes with equal with and height, eg
Example usage:
# make a figure twice as tall as it is wide
w, h = figaspect(2.)
fig = Figure(figsize=(w,h))
ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])
ax.imshow(A, **kwargs)
# make a figure with the proper aspect for an array
A = rand(5,3)
w, h = figaspect(A)
fig = Figure(figsize=(w,h))
ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])
ax.imshow(A, **kwargs)
Edit: I am not sure of what you are looking for. The above code changes the canvas (the plot size). If you want to change the size of the matplotlib window, of the figure, then use:
In [68]: f = figure(figsize=(5,1))
this does produce a window of 5x1 (wxh).
This answer is based on Yann's answer. It will set the aspect ratio for linear or log-log plots. I've used additional information from https://stackoverflow.com/a/16290035/2966723 to test if the axes are log-scale.
def forceAspect(ax,aspect=1):
#aspect is width/height
scale_str = ax.get_yaxis().get_scale()
xmin,xmax = ax.get_xlim()
ymin,ymax = ax.get_ylim()
if scale_str=='linear':
asp = abs((xmax-xmin)/(ymax-ymin))/aspect
elif scale_str=='log':
asp = abs((scipy.log(xmax)-scipy.log(xmin))/(scipy.log(ymax)-scipy.log(ymin)))/aspect
ax.set_aspect(asp)
Obviously you can use any version of log you want, I've used scipy, but numpy or math should be fine.
In my case, the following setting works best:
plt.figure(figsize=(16,9))
where (16,9) is your plot aspect ratio.

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