Plotting a curve in the margin of a figure - python

I have the plot of a function f, which depends on time in a discontinuous way. More precisely, it has a particular behavior for t1<=t<t2 and another everywhere else, like in the example below
import matplotlib.pyplot as plt
import numpy as np
from pylab import *
l1=1.
l2=5.
t1=20.
t2=50.
tf=120.
def f1(t):
if t<t1:
L = l1
elif t1<=t<t2:
L = l2
else:
L=l1
g=L*t
return g
a=np.linspace(0.,100,1000)
values1=map(f1,a)
fig1=plt.figure(1)
plt.plot(a,values1,color='red')
plt.show()
The plot of the pulse is the following
def f2(t):
if t<t1:
L = l1
elif t1<=t<t2:
L = l2
else:
L=l1
return L
values2=map(f2,a)
fig2=plt.figure(2)
plt.plot(a,values2,color='blue')
plt.show()
I want to make a figure with the red curve as the main plot and a little inset in the top margin of the figure showing the blue curve, without any x axis or y axis, just to make the viewer understand when the change in the parameter L happens.

I think that subplots will do what you want. If you make the top subplot smaller, and take the ticks/labels off it looks like its in the margins. Here's a code snippet that sets up the plot.
f = plt.figure()
# Make 2 subplots arranged vertically with different ratios
(ax, ax2) = f.subplots(2,1, gridspec_kw={'height_ratios':[1,4]})
#remove the labels on your top subplot
ax.get_xaxis().set_visible(False)
ax.get_yaxis().set_visible(False)
ax.plot(a, f2(a))
ax2.plot(a, f1(a), 'r:') #red curve main plt
plt.show()
I used this code to plot a few sinusoids and it came out as follows:
Is this what you're looking for?

Maybe you could use inset_axes from mpl_toolkits.axes_grid1.inset_locator
See for example: https://matplotlib.org/gallery/axes_grid1/inset_locator_demo.html
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1.inset_locator import inset_axes
fig, axs = plt.subplots(1, 1)
# Create inset of width 1.3 inches and height 0.9 inches
# at the default upper right location
axins = inset_axes(axs, width='20%', height='20%', loc=2)
And then plot your data in axins:
axins.plot(data)
You can also switch off the ticks and labes using:
axins.axes.get_yaxis().set_visible(False)
axins.axes.get_xaxis().set_visible(False)

Related

Matplotlib: How to recreate `6 petal` polar diagram

For an assignment, I have to recreate the following plot (including all labels and ticks):
This is what I have tried so far with my code
import numpy as np
import matplotlib.pyplot as plt
nmax=101 # choose a high number to "smooth out" lines in plots
x = np.linspace(0,20,nmax) # create an array x
y_br = np.sin(3*x) # y for the bottom right subplot
fig = plt.figure()
ax4 = plt.subplot(224, projection = 'polar')
ax4.plot(x, y_br, 'tab:blue')
But if you were to run this yourself, this does not replicate the plot. What function could be used here and how can tick marks be changed in polar plots? Thanks in advance?

Iterate through colors with cycle for each new line which gets plotted [duplicate]

I am using matplotlib to create the plots. I have to identify each plot with a different color which should be automatically generated by Python.
Can you please give me a method to put different colors for different plots in the same figure?
Matplotlib does this by default.
E.g.:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.show()
And, as you may already know, you can easily add a legend:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.legend(['y = x', 'y = 2x', 'y = 3x', 'y = 4x'], loc='upper left')
plt.show()
If you want to control the colors that will be cycled through:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.gca().set_color_cycle(['red', 'green', 'blue', 'yellow'])
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.legend(['y = x', 'y = 2x', 'y = 3x', 'y = 4x'], loc='upper left')
plt.show()
If you're unfamiliar with matplotlib, the tutorial is a good place to start.
Edit:
First off, if you have a lot (>5) of things you want to plot on one figure, either:
Put them on different plots (consider using a few subplots on one figure), or
Use something other than color (i.e. marker styles or line thickness) to distinguish between them.
Otherwise, you're going to wind up with a very messy plot! Be nice to who ever is going to read whatever you're doing and don't try to cram 15 different things onto one figure!!
Beyond that, many people are colorblind to varying degrees, and distinguishing between numerous subtly different colors is difficult for more people than you may realize.
That having been said, if you really want to put 20 lines on one axis with 20 relatively distinct colors, here's one way to do it:
import matplotlib.pyplot as plt
import numpy as np
num_plots = 20
# Have a look at the colormaps here and decide which one you'd like:
# http://matplotlib.org/1.2.1/examples/pylab_examples/show_colormaps.html
colormap = plt.cm.gist_ncar
plt.gca().set_prop_cycle(plt.cycler('color', plt.cm.jet(np.linspace(0, 1, num_plots))))
# Plot several different functions...
x = np.arange(10)
labels = []
for i in range(1, num_plots + 1):
plt.plot(x, i * x + 5 * i)
labels.append(r'$y = %ix + %i$' % (i, 5*i))
# I'm basically just demonstrating several different legend options here...
plt.legend(labels, ncol=4, loc='upper center',
bbox_to_anchor=[0.5, 1.1],
columnspacing=1.0, labelspacing=0.0,
handletextpad=0.0, handlelength=1.5,
fancybox=True, shadow=True)
plt.show()
Setting them later
If you don't know the number of the plots you are going to plot you can change the colours once you have plotted them retrieving the number directly from the plot using .lines, I use this solution:
Some random data
import matplotlib.pyplot as plt
import numpy as np
fig1 = plt.figure()
ax1 = fig1.add_subplot(111)
for i in range(1,15):
ax1.plot(np.array([1,5])*i,label=i)
The piece of code that you need:
colormap = plt.cm.gist_ncar #nipy_spectral, Set1,Paired
colors = [colormap(i) for i in np.linspace(0, 1,len(ax1.lines))]
for i,j in enumerate(ax1.lines):
j.set_color(colors[i])
ax1.legend(loc=2)
The result is the following:
TL;DR No, it can't be done automatically. Yes, it is possible.
import matplotlib.pyplot as plt
my_colors = plt.rcParams['axes.prop_cycle']() # <<< note that we CALL the prop_cycle
fig, axes = plt.subplots(2,3)
for ax in axes.flatten(): ax.plot((0,1), (0,1), **next(my_colors))
Each plot (axes) in a figure (figure) has its own cycle of colors — if you don't force a different color for each plot, all the plots share the same order of colors but, if we stretch a bit what "automatically" means, it can be done.
The OP wrote
[...] I have to identify each plot with a different color which should be automatically generated by [Matplotlib].
But... Matplotlib automatically generates different colors for each different curve
In [10]: import numpy as np
...: import matplotlib.pyplot as plt
In [11]: plt.plot((0,1), (0,1), (1,2), (1,0));
Out[11]:
So why the OP request? If we continue to read, we have
Can you please give me a method to put different colors for different plots in the same figure?
and it make sense, because each plot (each axes in Matplotlib's parlance) has its own color_cycle (or rather, in 2018, its prop_cycle) and each plot (axes) reuses the same colors in the same order.
In [12]: fig, axes = plt.subplots(2,3)
In [13]: for ax in axes.flatten():
...: ax.plot((0,1), (0,1))
If this is the meaning of the original question, one possibility is to explicitly name a different color for each plot.
If the plots (as it often happens) are generated in a loop we must have an additional loop variable to override the color automatically chosen by Matplotlib.
In [14]: fig, axes = plt.subplots(2,3)
In [15]: for ax, short_color_name in zip(axes.flatten(), 'brgkyc'):
...: ax.plot((0,1), (0,1), short_color_name)
Another possibility is to instantiate a cycler object
from cycler import cycler
my_cycler = cycler('color', ['k', 'r']) * cycler('linewidth', [1., 1.5, 2.])
actual_cycler = my_cycler()
fig, axes = plt.subplots(2,3)
for ax in axes.flat:
ax.plot((0,1), (0,1), **next(actual_cycler))
Note that type(my_cycler) is cycler.Cycler but type(actual_cycler) is itertools.cycle.
I would like to offer a minor improvement on the last loop answer given in the previous post (that post is correct and should still be accepted). The implicit assumption made when labeling the last example is that plt.label(LIST) puts label number X in LIST with the line corresponding to the Xth time plot was called. I have run into problems with this approach before. The recommended way to build legends and customize their labels per matplotlibs documentation ( http://matplotlib.org/users/legend_guide.html#adjusting-the-order-of-legend-item) is to have a warm feeling that the labels go along with the exact plots you think they do:
...
# Plot several different functions...
labels = []
plotHandles = []
for i in range(1, num_plots + 1):
x, = plt.plot(some x vector, some y vector) #need the ',' per ** below
plotHandles.append(x)
labels.append(some label)
plt.legend(plotHandles, labels, 'upper left',ncol=1)
**: Matplotlib Legends not working
Matplot colors your plot with different colors , but incase you wanna put specific colors
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x,color='blue')
plt.plot(x, 3 * x,color='red')
plt.plot(x, 4 * x,color='green')
plt.show()
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import numpy as np
from skspatial.objects import Line, Vector
for count in range(0,len(LineList),1):
Line_Color = np.random.rand(3,)
Line(StartPoint,EndPoint)).plot_3d(ax,c="Line"+str(count),label="Line"+str(count))
plt.legend(loc='lower left')
plt.show(block=True)
The above code might help you to add 3D lines with different colours in a randomized fashion. Your colored lines can also be referenced with a help of a legend as mentioned in the label="... " parameter.
Honestly, my favourite way to do this is pretty simple: Now this won't work for an arbitrarily large number of plots, but it will do you up to 1163. This is by using the map of all matplotlib's named colours and then selecting them at random.
from random import choice
import matplotlib.pyplot as plt
from matplotlib.colors import mcolors
# Get full named colour map from matplotlib
colours = mcolors._colors_full_map # This is a dictionary of all named colours
# Turn the dictionary into a list
color_lst = list(colours.values())
# Plot using these random colours
for n, plot in enumerate(plots):
plt.scatter(plot[x], plot[y], color=choice(color_lst), label=n)

Add units to polar coordinate scatter plot in python

I have this polar scatter plot and I would like to show that distances from the origin are measured in centimeters by labelling the scale with a "cm." Any advice on how to do this?
import numpy as np
import matplotlib.pyplot as plt
r = R
theta = o
colors = theta
ax = plt.subplot(111, projection='polar')
c = plt.scatter(theta, r, cmap=plt.cm.hsv)
c.set_alpha(0.75)
plt.show()
Simply adding a label by use of plt.set_ylabel does not seem to work, sadly, as it always gets positioned at the origin. There is a simple way around it, though. You can introduce text with ax.text at an arbitrary position. My suggestion would be, to move the tick labels away from the data to make sure that the label won't be misunderstood and then to introduce the label as follows:
import numpy as np
import matplotlib.pyplot as plt
ax = plt.subplot(111, projection="polar")
ax.set_rlabel_position(270) # Moves the tick-labels
ax.text(0.52, 0.25, "cm", transform=ax.transAxes) # Adds text
plt.show()
The result looks like this:
I did something similar, that should work:
plt.yticks(np.arange(0,np.amax(r),3),["%.1f cm" % x for x in np.arange(0,np.amax(r),3)])
in np.arange(0,np.amax(r),3) the 0 is just minimum tick you want in the graph, the 3 is step you want ticks should be.

Python, Matplotlib: Suptitle with arbitrary number of vertical figures

I have a website that produces (depending on available data stations running) an arbitrary number of plots (as an image), that are vertically stacked over one another. An example is the following:
The problem is that depending on the number of vertical plots, the suptitle (top title) goes to a different position. Check the following examples of 5 and 10 plots:
5 plots:
And here's 10 plots:
So for every number of plots, I get a different result. Using fig.tight_layout() didn't help.
What I need is to have the bottom of my text at a certain distance from the top of the plots. Is there a general answer to this problem?
I created some minimal working code that has the number of plots parametrized. Please check it out if you would like to reproduce this problem.
import datetime
import random
import matplotlib
matplotlib.use('Agg') # Force matplotlib not to use any Xwindows backend.
import matplotlib.pyplot as plt
import matplotlib.dates as mdates
import matplotlib.image as mpimg
import matplotlib.gridspec as gridspec
import numpy as np
random.seed(datetime.datetime.now())
#initial parameters
numOfPlots = 2
dataLen = 100
randomRange = 10*dataLen
dpiVal = 180
#create data
xData = list(range(dataLen) for x in range(numOfPlots))
yData = list(random.sample(range(randomRange), dataLen) for x in range(numOfPlots))
#matplotlib initialize plot
gs = gridspec.GridSpec(numOfPlots,1)
plt.cla()
plt.clf()
fig = plt.figure()
ax = None
for i in list(range(numOfPlots)):
if i == 0:
ax = fig.add_subplot(gs[i])
else:
ax = fig.add_subplot(gs[i],sharex=ax)
ax.plot(xData[i], yData[i])
labelSize = 10
ax.set_ylabel("Hi there",size=8)
ax.get_yaxis().set_label_coords(-0.07,0.5)
plt.yticks(size=8)
plt.ticklabel_format(style='sci', axis='y', scilimits=(0,0),useOffset=True)
plt.subplots_adjust(hspace = 0.3)
if i == numOfPlots-1:
plt.xticks(rotation=0,size=7)
max_xticks = 10
xloc = plt.MaxNLocator(max_xticks)
ax.xaxis.set_major_locator(xloc)
ax=plt.gca()
else:
plt.tick_params(
axis='x', # changes apply to the x-axis
labelbottom='off') # labels along the bottom edge are off
ax_right = ax.twinx()
ax_right.yaxis.set_ticks_position('right')
ax_right.set_ylabel("Nice to see you!",size=labelSize)
ax_right.get_yaxis().set_ticks([])
#the following sets the size and the aspect ratio of the plot
fig.set_size_inches(10, 1.8*numOfPlots)
fig.suptitle("Hi there, this is the first line\nAnd this is the second!!!")
fig.savefig("img_"+str(numOfPlots)+".png",bbox_inches='tight',dpi=dpiVal)
I suggest trying something manual: adding text annotation with position in units of the figure relative coordinates.
Consider these two dummy examples:
hf,ax = plt.subplots(nrows=3)
hf.text(0.5,0.92,
"Hi there, this is the first line\nAnd this is the second!!!",
horizontalalignment='center')
hf,ax = plt.subplots(nrows=7)
hf.text(0.5,0.92,
"Hi there, this is the first line\nAnd this is the second!!!",
horizontalalignment='center')
The result has the "suptitle" located in the exact same position:

How to get different colored lines for different plots in a single figure

I am using matplotlib to create the plots. I have to identify each plot with a different color which should be automatically generated by Python.
Can you please give me a method to put different colors for different plots in the same figure?
Matplotlib does this by default.
E.g.:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.show()
And, as you may already know, you can easily add a legend:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.legend(['y = x', 'y = 2x', 'y = 3x', 'y = 4x'], loc='upper left')
plt.show()
If you want to control the colors that will be cycled through:
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.gca().set_color_cycle(['red', 'green', 'blue', 'yellow'])
plt.plot(x, x)
plt.plot(x, 2 * x)
plt.plot(x, 3 * x)
plt.plot(x, 4 * x)
plt.legend(['y = x', 'y = 2x', 'y = 3x', 'y = 4x'], loc='upper left')
plt.show()
If you're unfamiliar with matplotlib, the tutorial is a good place to start.
Edit:
First off, if you have a lot (>5) of things you want to plot on one figure, either:
Put them on different plots (consider using a few subplots on one figure), or
Use something other than color (i.e. marker styles or line thickness) to distinguish between them.
Otherwise, you're going to wind up with a very messy plot! Be nice to who ever is going to read whatever you're doing and don't try to cram 15 different things onto one figure!!
Beyond that, many people are colorblind to varying degrees, and distinguishing between numerous subtly different colors is difficult for more people than you may realize.
That having been said, if you really want to put 20 lines on one axis with 20 relatively distinct colors, here's one way to do it:
import matplotlib.pyplot as plt
import numpy as np
num_plots = 20
# Have a look at the colormaps here and decide which one you'd like:
# http://matplotlib.org/1.2.1/examples/pylab_examples/show_colormaps.html
colormap = plt.cm.gist_ncar
plt.gca().set_prop_cycle(plt.cycler('color', plt.cm.jet(np.linspace(0, 1, num_plots))))
# Plot several different functions...
x = np.arange(10)
labels = []
for i in range(1, num_plots + 1):
plt.plot(x, i * x + 5 * i)
labels.append(r'$y = %ix + %i$' % (i, 5*i))
# I'm basically just demonstrating several different legend options here...
plt.legend(labels, ncol=4, loc='upper center',
bbox_to_anchor=[0.5, 1.1],
columnspacing=1.0, labelspacing=0.0,
handletextpad=0.0, handlelength=1.5,
fancybox=True, shadow=True)
plt.show()
Setting them later
If you don't know the number of the plots you are going to plot you can change the colours once you have plotted them retrieving the number directly from the plot using .lines, I use this solution:
Some random data
import matplotlib.pyplot as plt
import numpy as np
fig1 = plt.figure()
ax1 = fig1.add_subplot(111)
for i in range(1,15):
ax1.plot(np.array([1,5])*i,label=i)
The piece of code that you need:
colormap = plt.cm.gist_ncar #nipy_spectral, Set1,Paired
colors = [colormap(i) for i in np.linspace(0, 1,len(ax1.lines))]
for i,j in enumerate(ax1.lines):
j.set_color(colors[i])
ax1.legend(loc=2)
The result is the following:
TL;DR No, it can't be done automatically. Yes, it is possible.
import matplotlib.pyplot as plt
my_colors = plt.rcParams['axes.prop_cycle']() # <<< note that we CALL the prop_cycle
fig, axes = plt.subplots(2,3)
for ax in axes.flatten(): ax.plot((0,1), (0,1), **next(my_colors))
Each plot (axes) in a figure (figure) has its own cycle of colors — if you don't force a different color for each plot, all the plots share the same order of colors but, if we stretch a bit what "automatically" means, it can be done.
The OP wrote
[...] I have to identify each plot with a different color which should be automatically generated by [Matplotlib].
But... Matplotlib automatically generates different colors for each different curve
In [10]: import numpy as np
...: import matplotlib.pyplot as plt
In [11]: plt.plot((0,1), (0,1), (1,2), (1,0));
Out[11]:
So why the OP request? If we continue to read, we have
Can you please give me a method to put different colors for different plots in the same figure?
and it make sense, because each plot (each axes in Matplotlib's parlance) has its own color_cycle (or rather, in 2018, its prop_cycle) and each plot (axes) reuses the same colors in the same order.
In [12]: fig, axes = plt.subplots(2,3)
In [13]: for ax in axes.flatten():
...: ax.plot((0,1), (0,1))
If this is the meaning of the original question, one possibility is to explicitly name a different color for each plot.
If the plots (as it often happens) are generated in a loop we must have an additional loop variable to override the color automatically chosen by Matplotlib.
In [14]: fig, axes = plt.subplots(2,3)
In [15]: for ax, short_color_name in zip(axes.flatten(), 'brgkyc'):
...: ax.plot((0,1), (0,1), short_color_name)
Another possibility is to instantiate a cycler object
from cycler import cycler
my_cycler = cycler('color', ['k', 'r']) * cycler('linewidth', [1., 1.5, 2.])
actual_cycler = my_cycler()
fig, axes = plt.subplots(2,3)
for ax in axes.flat:
ax.plot((0,1), (0,1), **next(actual_cycler))
Note that type(my_cycler) is cycler.Cycler but type(actual_cycler) is itertools.cycle.
I would like to offer a minor improvement on the last loop answer given in the previous post (that post is correct and should still be accepted). The implicit assumption made when labeling the last example is that plt.label(LIST) puts label number X in LIST with the line corresponding to the Xth time plot was called. I have run into problems with this approach before. The recommended way to build legends and customize their labels per matplotlibs documentation ( http://matplotlib.org/users/legend_guide.html#adjusting-the-order-of-legend-item) is to have a warm feeling that the labels go along with the exact plots you think they do:
...
# Plot several different functions...
labels = []
plotHandles = []
for i in range(1, num_plots + 1):
x, = plt.plot(some x vector, some y vector) #need the ',' per ** below
plotHandles.append(x)
labels.append(some label)
plt.legend(plotHandles, labels, 'upper left',ncol=1)
**: Matplotlib Legends not working
Matplot colors your plot with different colors , but incase you wanna put specific colors
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(10)
plt.plot(x, x)
plt.plot(x, 2 * x,color='blue')
plt.plot(x, 3 * x,color='red')
plt.plot(x, 4 * x,color='green')
plt.show()
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import numpy as np
from skspatial.objects import Line, Vector
for count in range(0,len(LineList),1):
Line_Color = np.random.rand(3,)
Line(StartPoint,EndPoint)).plot_3d(ax,c="Line"+str(count),label="Line"+str(count))
plt.legend(loc='lower left')
plt.show(block=True)
The above code might help you to add 3D lines with different colours in a randomized fashion. Your colored lines can also be referenced with a help of a legend as mentioned in the label="... " parameter.
Honestly, my favourite way to do this is pretty simple: Now this won't work for an arbitrarily large number of plots, but it will do you up to 1163. This is by using the map of all matplotlib's named colours and then selecting them at random.
from random import choice
import matplotlib.pyplot as plt
from matplotlib.colors import mcolors
# Get full named colour map from matplotlib
colours = mcolors._colors_full_map # This is a dictionary of all named colours
# Turn the dictionary into a list
color_lst = list(colours.values())
# Plot using these random colours
for n, plot in enumerate(plots):
plt.scatter(plot[x], plot[y], color=choice(color_lst), label=n)

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