What's the meaning of clip_box in Matplotlib Artist? - python

I am testing the clip_box feature of Artist using the code snippet below:
import matplotlib.pyplot as plt
from matplotlib.transforms import Bbox
import numpy as np
fig = plt.figure()
ax = fig.subplots(1, 2)
x = [1, 2, 3, 4]
y = [3, 8, 5, 2]
line_a, = ax[0].plot(x, y, color='red', linewidth=3.0)
line_b, = ax[1].plot(x, y, color='red', linewidth=3.0)
boundingbox = Bbox(np.array([[0, 0], [3, 9]]))
line_b.set_clip_box(boundingbox)
line_b.set_clip_on(True)
plt.show()
What I expect is the last part of line_b will be cut out by the clip box, and line_b will be a bit shorter than line_a.
It turns out that there's nothing left on the second subplot. It's totally empty. Is my understanding of the clip_box wrong or are there some issues in the code snippet?

The "natural" clip box for the right hand side plot is ax[1].bbox. Finding its extent tells us what units should be used to specify the clip box Bbox.
Since we don't add the Bbox instance to any axes when we create, it could only be relative to the figure. When we print ax[1].bbox, we can see that its size is to be specified in pixels.
It's indeed much simpler to use a Rectangle or Polygon to specify the clip box because they can be added to axes. Using 'none' color for its facecolor could be more convenient because it's figure style-independent.
import matplotlib.pyplot as plt
from matplotlib.transforms import Bbox
fig = plt.figure(dpi=89)
ax = fig.subplots(1, 2)
x = [1, 2, 3, 4]
y = [3, 8, 5, 2]
line_a, = ax[0].plot(x, y, color='red', linewidth=3.0)
line_b, = ax[1].plot(x, y, color='red', linewidth=3.0)
print(ax[1].bbox, '\n', ax[1].bbox.extents)
# the line above prints
# TransformedBbox(
# Bbox(x0=0.5477272727272726, y0=0.10999999999999999, x1=0.8999999999999999, y1=0.88),
# BboxTransformTo(
# TransformedBbox(
# Bbox(x0=0.0, y0=0.0, x1=6.393258426966292, y1=4.797752808988764),
# Affine2D().scale(178.0))))
# [ 623.31363636 93.94 1024.2 751.52 ]
# 178.0 is 2 * dpi, I believe the doubling happens because of what screen I have got
boundingbox = Bbox.from_extents([623.31363636, 93.94, 900.2, 751.52])
print(boundingbox, '\n', boundingbox.extents)
# the line above prints
# Bbox(x0=623.31363636, y0=93.94, x1=900.2, y1=751.52)
# [623.31363636 93.94 900.2 751.52 ]
line_b.set_clip_box(boundingbox)
line_b.set_clip_on(True)
plt.show()

I've spent some time reading about Bboxes in Matplotlib and they are pretty complicated. The set_clip_box method you refer to has not got very helpful documentation, and the examples of its use both use the bbox of an Axes, which is a nested transformation; ie _, ax = plt.subplots(); ax.bbox is a TransformedBbox based on a linear transform of another TransformedBbox based on an Affine2D transform of a plain Bbox! (All of this explained in more detail here.)
It seems that these involve transformations between different sets of co-ordinates; in the case of a regular Axes it is between x- and y-values, pixels, and the specific adaptations to screen size. I would be happy to hear from someone who knows more about Bboxes why your Bbox acts the way it does. But what you want to achieve can be done much more easily, using a FancyBboxPatch (a Rectangle patch would work just as well):
from matplotlib.patches import FancyBboxPatch
f, ax = plt.subplots(1, 2)
x = [1, 2, 3, 4]
y = [3, 8, 5, 2]
line_a, = ax[0].plot(x, y, color='red', linewidth=3.0)
line_b, = ax[1].plot(x, y, color='red', linewidth=3.0)
bb = Bbox([[0, 0], [3, 9]])
ax[1].add_patch(FancyBboxPatch((bb.xmin, bb.ymin), bb.width, bb.height, boxstyle="square",
ec='white', fc='white', zorder=2.1))
(ec and fc are edge colour and fill colour; zorder determines the artist order. Lines are 2, so we just need out Bbox patch to be slightly higher.)

Related

matplotlib.pyplot.scatter - define sizes of entries in legend for size of marker

How to change the marker size and the respective label in the legend to meaningful values like [20,40,60,80] ?
Do I need to derive handles and labels from an additional dummy dataset and how to plot it, so that it will not be visible (alpha=0.0 will not work?)?
import matplotlib.pyplot as plt
import numpy as np
x = [1,2,3,4,5]
y = [1,2,3,4,5]
size = np.asarray([0.84,0.53,0.24,0.47,0.18]) * 100
s1 = plt.scatter(x, y, s=size)
handles, labels = s1.legend_elements(prop="sizes")
legend2 = plt.legend(handles, labels, frameon=False, title="Sizes")
plt.show()
The function legend_elements(...) has a parameter num= which can be a Locator. So, you can try e.g. a MultipleLocator:
import matplotlib.pyplot as plt
from matplotlib.ticker import MultipleLocator
import numpy as np
x = [1, 2, 3, 4, 5]
y = [1, 2, 3, 4, 5]
size = np.asarray([0.84, 0.53, 0.24, 0.47, 0.18]) * 100
s1 = plt.scatter(x, y, s=size)
handles, labels = s1.legend_elements(prop="sizes", num=MultipleLocator(20))
legend2 = plt.legend(handles, labels, frameon=False, title="Sizes")
plt.show()
PS: In this case, you can also just put a number for num=, e.g. s1.legend_elements(prop="sizes", num=4). That also seems to put rounded values. When only a few different size values are used in the plot, the default num='auto', uses these values instead of rounded values.

Phase plot using matplotlib tricontourf

I want to plot an image of the results of a finite element simulation with a personalized colormap.
I have been trying to use tricontourf to plot it as follow :
#Z = self.phi.compute_vertex_values(self.mesh)
Z = np.mod(self.phi.compute_vertex_values(self.mesh),2*np.pi)
triang = tri.Triangulation(*self.mesh.coordinates().reshape((-1, 2)).T,
triangles=self.mesh.cells())
zMax = np.max(Z)
print(zMax)
#Colormap creation
nColors = np.max(Z)*200/(2*np.pi)
phiRange = np.linspace(0,zMax,nColors)
intensity = np.sin(phiRange)**2
intensityArray = np.array([intensity, intensity, intensity])
colors = tuple(map(tuple, intensityArray.T))
self.cm = LinearSegmentedColormap.from_list("BAM", colors, N=nColors)
#Figure creation
fig, ax = plt.subplots()
levels2 = np.linspace(0., zMax,nColors)
cax = ax.tricontourf(triang, Z,levels=levels2, cmap = self.cm) #plot of the solution
fig.colorbar(cax)
ax.triplot(triang, lw=0.5, color='yellow') #plot of the mesh
plt.savefig("yolo.png")
plt.close(fig)
And it gives the result :
As you can see there are some trouble where the phase goes from 2pi to 0 that comes from tricontourf when there is a modulo...
My first idea for work around was to work directly on my phase Z. The problem is that if I do this I need to create a much larger colormap. Ultimately, the phase will be very large and so will be the colormap if I want a correct color resolution... Furthemore I would like to have only one period in the colormap on the right (just like in the first figure).
Any idea how I could obtain a figure just like the second one, with a colormap just like the one from the first figure and without creating a very large and expensive colormap ?
EDIT : I have written a small code that is runnable out of the box : It reproduces the problem I have and I have also tried to apply Thomas Kuhn answer to my preoblem. However, it seems that there are some problem with the colorbar... Any idea how I could fix this ?
import matplotlib.pyplot as plt
import matplotlib.tri as mtri
import numpy as np
import matplotlib.colors as colors
class PeriodicNormalize(colors.Normalize):
def __init__(self, vmin=None, vmax=None, clip=False):
colors.Normalize.__init__(self, vmin, vmax, clip)
def __call__(self, value, clip=None):
x, y = [self.vmin, self.vmax], [0, 1]
return np.ma.masked_array(np.interp(
np.mod(value-self.vmin, self.vmax-self.vmin),x,y
))
# Create triangulation.
x = np.asarray([0, 1, 2, 3, 0.5, 1.5, 2.5, 1, 2, 1.5])
y = np.asarray([0, 0, 0, 0, 1.0, 1.0, 1.0, 2, 2, 3.0])
triangles = [[0, 1, 4], [1, 2, 5], [2, 3, 6], [1, 5, 4], [2, 6, 5], [4, 5, 7],
[5, 6, 8], [5, 8, 7], [7, 8, 9]]
triang = mtri.Triangulation(x, y, triangles)
cm = colors.LinearSegmentedColormap.from_list('test', ['k','w','k'], N=1000)
#Figure 1 : modulo is applied on the data :
#Results : problem with the interpolation, but the colorbar is fine
z = np.mod(10*x,2*np.pi)
zMax = np.max(z)
levels = np.linspace(0., zMax,100)
fig1, ax1 = plt.subplots()
cax1=ax1.tricontourf(triang, z,cmap = cm,levels= levels)
fig1.colorbar(cax1)
plt.show()
#Figure 2 : We use the norm parameter with a custom norm that does the modulo
#Results : the graph is the way it should be but the colormap is messed up
z = 10*x
zMax = np.max(z)
levels = np.linspace(0., zMax,100)
fig2, ax2 = plt.subplots()
cax2=ax2.tricontourf(triang, z,levels= levels,norm = PeriodicNormalize(0, 2*np.pi),cmap = cm)
fig2.colorbar(cax2)
plt.show()
Last solution would be to do as I did above : to create a much larger colormap that goes up to zmax and is periodic every 2 pi. However the colorbar would not be nice...
here are the results :
I'm guessing that your problem arises from using modulo on your data before you call tricontourf (which, I guess, does some interpolation on your data and then maps that interpolated data to a colormap). Instead, you can pass a norm to your tricontourf function. Writing a small class following this tutorial, you can make the norm take care of the modulo of your data. As your code is not runnable as such, I came up with an a bit simpler example. Hopefully this is applicable to your problem:
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors as colors
class PeriodicNormalize(colors.Normalize):
def __init__(self, vmin=None, vmax=None, clip=False):
colors.Normalize.__init__(self, vmin, vmax, clip)
def __call__(self, value, clip=None):
x, y = [self.vmin, self.vmax], [0, 1]
return np.ma.masked_array(np.interp(
np.mod(value-self.vmin, self.vmax-self.vmin),x,y
))
fig,ax = plt.subplots()
x,y = np.meshgrid(
np.linspace(0, 1, 1000),
np.linspace(0, 1, 1000),
)
z = x*10*np.pi
cm = colors.LinearSegmentedColormap.from_list('test', ['k','w','k'], N=1000)
ax.pcolormesh(x,y,z,norm = PeriodicNormalize(0, 2*np.pi), cmap = cm)
plt.show()
The result looks like this:
EDIT:
As the ContourSet you get back from tricontourf spans the full phase, not just the first [0,2pi], the colorbar is created for that full range, which is why you see the colormap repeat itself many times. I'm not quite sure if I understand how the ticks are created, but I'm guessing that it would be quite some work to get that automated to work right. Instead, I suggest to generate a colorbar "by hand", as is done in this tutorial. This, however, requires that you create the axes (cax) where the colorbar is put yourself. Luckily there is a function called matplotlib.colorbar.make_axes() that does this for you (all thanks goes to this answer). So, instead of your original colorbar command, use these two lines:
cax,kw = mcbar.make_axes([ax2], location = 'right')
cb1 = mcbar.ColorbarBase(cax, cmap = cm, norm = norm, orientation='vertical')
To get this picture:

3D PCA in matplotlib: how to add legend?

I am attempting to use http://scikit-learn.org/stable/auto_examples/decomposition/plot_pca_iris.html for my own data to construct a 3D PCA plot. The tutorial, however, did not specify how I can add a legend. Another page, https://matplotlib.org/users/legend_guide.html did, but I cannot see how I can apply the information in the second tutorial to the first.
How can I modify the code below to add a legend?
# Code source: Gae"l Varoquaux
# License: BSD 3 clause
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from sklearn import decomposition
from sklearn import datasets
np.random.seed(5)
centers = [[1, 1], [-1, -1], [1, -1]]
iris = datasets.load_iris()
X = iris.data#the floating point values
y = iris.target#unsigned integers specifying group
fig = plt.figure(1, figsize=(4, 3))
plt.clf()
ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)
plt.cla()
pca = decomposition.PCA(n_components=3)
pca.fit(X)
X = pca.transform(X)
for name, label in [('Setosa', 0), ('Versicolour', 1), ('Virginica', 2)]:
ax.text3D(X[y == label, 0].mean(),
X[y == label, 1].mean() + 1.5,
X[y == label, 2].mean(), name,
horizontalalignment='center',
bbox=dict(alpha=.5, edgecolor='w', facecolor='w'))
# Reorder the labels to have colors matching the cluster results
y = np.choose(y, [1, 2, 0]).astype(np.float)
ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=y, cmap=plt.cm.spectral,
edgecolor='k')
ax.w_xaxis.set_ticklabels([])
ax.w_yaxis.set_ticklabels([])
ax.w_zaxis.set_ticklabels([])
plt.show()
There are some issues with the other answer on which neither the OP, nor the answerer seem to be clear about; this is hence not a complete answer, but rather an appendix to the existing answer.
The spectral colormap has been removed from matplotlib in version 2.2,
use Spectral or nipy_spectral or any other valid colormap.
Any colormap in matplotlib ranges from 0 to 1. If you call it with any value outside that range,
it will just give your the outmost color. To get a color from a colormap you hence need to normalize the values.
This is done via a Normalize instance. In this case this is internal to scatter.
Hence use sc = ax.scatter(...) and then sc.cmap(sc.norm(value)) to get a value according to the same mapping that is used within the scatter.
Therefore the code should rather use
[sc.cmap(sc.norm(i)) for i in [1, 2, 0]]
The legend is outside the figure. The figure is 4 x 3 inches in size (figsize=(4, 3)).
The axes takes 95% of that space in width (rect=[0, 0, .95, 1]).
The call to legend places the legend's right center point at 1.7 times the axes width = 4*0.95*1.7 = 6.46 inches. (bbox_to_anchor=(1.7,0.5)).
Alternative suggestion from my side: Make the figure larger (figsize=(5.5, 3)), such that the legend will fit in, make the axes take only 70% of the figure width, such that you have 30% left for the legend. Position the legend's left side close to the axes boundary (bbox_to_anchor=(1.0, .5)).
For more on this topic see How to put the legend out of the plot.
The reason you still see the complete figure including the legend in a jupyter notebook is that jupyter will just save everything inside the canvas, even if it overlaps and thereby enlarge the figure.
In total the code may then look like
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np; np.random.seed(5)
from sklearn import decomposition, datasets
centers = [[1, 1], [-1, -1], [1, -1]]
iris = datasets.load_iris()
X = iris.data #the floating point values
y = iris.target #unsigned integers specifying group
fig = plt.figure(figsize=(5.5, 3))
ax = Axes3D(fig, rect=[0, 0, .7, 1], elev=48, azim=134)
pca = decomposition.PCA(n_components=3)
pca.fit(X)
X = pca.transform(X)
labelTups = [('Setosa', 0), ('Versicolour', 1), ('Virginica', 2)]
for name, label in labelTups:
ax.text3D(X[y == label, 0].mean(),
X[y == label, 1].mean() + 1.5,
X[y == label, 2].mean(), name,
horizontalalignment='center',
bbox=dict(alpha=.5, edgecolor='w', facecolor='w'))
# Reorder the labels to have colors matching the cluster results
y = np.choose(y, [1, 2, 0]).astype(np.float)
sc = ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=y, cmap="Spectral", edgecolor='k')
ax.w_xaxis.set_ticklabels([])
ax.w_yaxis.set_ticklabels([])
ax.w_zaxis.set_ticklabels([])
colors = [sc.cmap(sc.norm(i)) for i in [1, 2, 0]]
custom_lines = [plt.Line2D([],[], ls="", marker='.',
mec='k', mfc=c, mew=.1, ms=20) for c in colors]
ax.legend(custom_lines, [lt[0] for lt in labelTups],
loc='center left', bbox_to_anchor=(1.0, .5))
plt.show()
and produce
Needed a few tweaks (plt.cm.spectral is the danged weirdest colormap I've ever dealt with), but it seems to be good now:
from matplotlib.lines import Line2D
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
from sklearn import decomposition
from sklearn import datasets
np.random.seed(5)
centers = [[1, 1], [-1, -1], [1, -1]]
iris = datasets.load_iris()
X = iris.data#the floating point values
y = iris.target#unsigned integers specifying group
fig = plt.figure(1, figsize=(4, 3))
plt.clf()
ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)
plt.cla()
pca = decomposition.PCA(n_components=3)
pca.fit(X)
X = pca.transform(X)
labelTups = [('Setosa', 0), ('Versicolour', 1), ('Virginica', 2)]
for name, label in labelTups:
ax.text3D(X[y == label, 0].mean(),
X[y == label, 1].mean() + 1.5,
X[y == label, 2].mean(), name,
horizontalalignment='center',
bbox=dict(alpha=.5, edgecolor='w', facecolor='w'))
# Reorder the labels to have colors matching the cluster results
y = np.choose(y, [1, 2, 0]).astype(np.float)
ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=y, cmap=plt.cm.spectral, edgecolor='k')
ax.w_xaxis.set_ticklabels([])
ax.w_yaxis.set_ticklabels([])
ax.w_zaxis.set_ticklabels([])
colors = [plt.cm.spectral(np.float(i/2)) for i in [1, 2, 0]]
custom_lines = [Line2D([0], [0], linestyle="none", marker='.', markeredgecolor='k', markerfacecolor=c, markeredgewidth=.1, markersize=20) for c in colors]
ax.legend(custom_lines, [lt[0] for lt in labelTups], loc='right', bbox_to_anchor=(1.7, .5))
plt.show()
Here's a link to an online Jupyter notebook with a live version of the script (requires an account for rerunning, though).
Short explanation
You're trying to add three legend markers for a single plot, which is nonstandard behavior. Thus, you need to manually create the shapes that your legend will display.
Longer explanation
This line of code recreates the colors you used in your plot:
colors = [plt.cm.spectral(np.float(i/2)) for i in [1, 2, 0]]
and then this line of code draws some appropriate-looking dots that we'll eventually display on your legend:
custom_lines = [Line2D([0], [0], linestyle="none", marker='.', markeredgecolor='k', markerfacecolor=c, markeredgewidth=.1, markersize=20) for c in colors]
The first two args are just the (internal) x and y coords of the single dot that will be drawn, linestyle="none" suppresses the line that Line2D would normally draw by default, and the rest of the args create and style the dot itself (referred to as a marker in the terminology of the matplotlib api).
Finally, this statement actually creates the legend:
ax.legend(custom_lines, [lt[0] for lt in labelTups], loc='right', bbox_to_anchor=(1.7, .5))
The first arg is of course a list of the dots we just drew, and the second arg is a list of the labels (one per dot). The remaining two args tell matplotlib where to draw the actual box containing the legend. The last arg, bbox_to_anchor, is basically a way to manually fiddle with the positioning of the legend, which I had to do since matplotlib support for 3D anything is still a little behind the curve. On 2D plots you typically don't need it, and, since matplotlib usually does a decent job of automatically positioning the legend on 2D plots in the first place, you often don't even need the loc arg either.
Some colormap weirdness
Don't quite know what was going on with plt.cm.spectral, but in order to get it to behave, for every value I fed it I had to:
a) first cast the value to float
b) then divide the value by 2
a) does occur explicitly in the OP's original code, right before they plot. The divide by 2 thing, I don't know where that comes from. Somehow the call to ax.scatter is implicitly normalizing all of the y values so that the maximum is 1? I guess?

Setting the size of a matplotlib ColorbarBase object

I have an patch collection that I'd like to display a color map for. Because of some manipulations I do on top of the colormap, it's not possible for me to define it using a matplotlib.colorbar instance. At least not as far as I can tell; doing so strips some manipulations I do with my colors that blank out patches lacking data:
cmap = matplotlib.cm.YlOrRd
colors = [cmap(n) if pd.notnull(n) else [1,1,1,1]
for n in plt.Normalize(0, 1)([nullity for _, nullity in squares])]
# Now we draw.
for i, ((min_x, max_x, min_y, max_y), _) in enumerate(squares):
square = shapely.geometry.Polygon([[min_x, min_y], [max_x, min_y],
[max_x, max_y], [min_x, max_y]])
ax0.add_patch(descartes.PolygonPatch(square, fc=colors[i],
ec='white', alpha=1, zorder=4))
So I define a matplotlib.colorbar.ColorbarBase instance instead, which works:
matplotlib.colorbar.ColorbarBase(ax1, cmap=cmap, orientation='vertical',
norm=matplotlib.colors.Normalize(vmin=0, vmax=1))
Which results in e.g.:
The problem I have is that I want to reduce the size of this colorbar (specifically, the shrink it down to a specific vertical size, say, 500 pixels), but I don't see any obvious way of doing this. If I had a colorbar instance, I could adjust this easily using its axis property arguments, but ColorbarBase lacks these.
For further reference:
The example my implementation is based on.
The source code in question (warning: lengthy).
The size and shape is defined with the axis. This is a snippet from code I have where I group 2 plots together and add a colorbar at the top independently. I played with the values in that add_axes instance until I got a size that worked for me:
cax = fig.add_axes([0.125, 0.925, 0.775, 0.0725]) #has to be as a list - starts with x, y coordinates for start and then width and height in % of figure width
norm = mpl.colors.Normalize(vmin = low_val, vmax = high_val)
mpl.colorbar.ColorbarBase(cax, cmap = self.cmap, norm = norm, orientation = 'horizontal')
The question may be a bit old, but I found another solution that can be of help for anyone who is not willing to manually create a colorbar axes for the ColorbarBase class.
The solution below uses the matplotlib.colorbar.make_axes class to create a dependent sub_axes from the given axes. That sub_axes can then be supplied for the ColorbarBase class for the colorbar creation.
The code is derived from the matplotlib code example describe in here
Here is a snippet code:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.colors import LinearSegmentedColormap
import matplotlib.colorbar as mcbar
from matplotlib import ticker
import matplotlib.colors as mcolors
# Make some illustrative fake data:
x = np.arange(0, np.pi, 0.1)
y = np.arange(0, 2 * np.pi, 0.1)
X, Y = np.meshgrid(x, y)
Z = np.cos(X) * np.sin(Y) * 10
colors = [(1, 0, 0), (0, 1, 0), (0, 0, 1)] # R -> G -> B
n_bins = [3, 6, 10, 100] # Discretizes the interpolation into bins
cmap_name = 'my_list'
fig, axs = plt.subplots(2, 2, figsize=(9, 7))
fig.subplots_adjust(left=0.02, bottom=0.06, right=0.95, top=0.94, wspace=0.05)
for n_bin, ax in zip(n_bins, axs.ravel()):
# Create the colormap
cm = LinearSegmentedColormap.from_list(cmap_name, colors, N=n_bin)
# Fewer bins will result in "coarser" colomap interpolation
im = ax.imshow(Z, interpolation='nearest', origin='lower', cmap=cm)
ax.set_title("N bins: %s" % n_bin)
cax, cbar_kwds = mcbar.make_axes(ax, location = 'right',
fraction=0.15, shrink=0.5, aspect=20)
cbar = mcbar.ColorbarBase(cax, cmap=cm,
norm=mcolors.Normalize(clip=False),
alpha=None,
values=None,
boundaries=None,
orientation='vertical', ticklocation='auto', extend='both',
ticks=n_bins,
format=ticker.FormatStrFormatter('%.2f'),
drawedges=False,
filled=True,
extendfrac=None,
extendrect=False, label='my label')
if n_bin <= 10:
cbar.locator = ticker.MaxNLocator(n_bin)
cbar.update_ticks()
else:
cbar.locator = ticker.MaxNLocator(5)
cbar.update_ticks()
fig.show()

Pyplot, plot 2 dataset into one figure, skip part of the y-axis

I am plotting to different datasets into one graph with pylab.plot(), which works great. But one dataset has values between 0% an 25% and the other has values between 75% and 100%. I want to skip 30% to 70% on the y-axis to save some space. Do you have any suggestions how this might be work with pyplot?
EDIT:
For clearness I added the following graphic. I want to skip 30% to 60% on the y axis, so that the red line and the green line come closer together.
The solution is based on Space_C0wb0ys post.
fig = pylab.figure()
ax = fig.add_subplot(111)
ax.plot( range(1,10), camean - 25, 'ro-' )
ax.plot( range(1,10), oemean , 'go-' )
ax.plot( range(1,10), hlmean , 'bo-' )
ax.set_yticks(range(5, 60, 5))
ax.set_yticklabels(["5","10","15","20","25","30","...","65","70","75"])
ax.legend(('ClassificationAccuracy','One-Error','HammingLoss'),loc='upper right')
pylab.show()
This code creates the following graphic.
You could subtract 40 from the x-values for your second functions to make the range of x-values continuous. This would give you a range from 0% to 70%. Then you can make set the tics and labes of the x-axis as follows:
x_ticks = range(71, 0, 10)
a.set_xticks(x_ticks)
a.set_xticklabels([str(x) for x in [0, 10, 20, 30, 70, 80, 90, 100]])
Where a is the current axes. So basically, you plot your functions in the range from 0% to 70%, but label the axis with a gap.
To illustrate - the following script:
from numpy import arange
import matplotlib.pyplot as plt
x1 = arange(0, 26) # first function
y1 = x1**2
x2 = arange(75, 100) # second function
y2 = x2*4 + 10
fig = plt.figure()
ax = fig.add_subplot(111)
ax.plot(x1, y1)
ax.plot(x2 - 40, y2) # shift second function 40 to left
ax.set_xticks(range(0, 61, 5)) # set custom x-ticks
# set labels for x-ticks - labels have the gap we want
ax.set_xticklabels([str(x) for x in range(0, 26, 5) + range(70, 101, 5)])
plt.show()
Produces the following plot (note the x-labels):
The matplotlib documentation actually has an example of how to do this.
The basic idea is to break up the plotting into two subplots, putting the same graph on each plot, then change the axes for each one to only show the specific part, then make it look nicer.
So, let's apply this. Imagine this is your starting code:
import matplotlib.pyplot as plt
import random, math
# Generates data
i = range(10)
x = [math.floor(random.random() * 5) + 67 for i in range(10)]
y = [math.floor(random.random() * 5) + 22 for i in range(10)]
z = [math.floor(random.random() * 5) + 13 for i in range(10)]
# Original plot
fig, ax = plt.subplots()
ax.plot(i, x, 'ro-')
ax.plot(i, y, 'go-')
ax.plot(i, z, 'bo-')
plt.show()
And we went to make it so that x is shown split off from the rest.
First, we want to plot the same graph twice, one on top of the other. To do this, the plotting function needs to be generic. Now it should look something like this:
# Plotting function
def plot(ax):
ax.plot(i, x, 'ro-')
ax.plot(i, y, 'go-')
ax.plot(i, z, 'bo-')
# Draw the graph on two subplots
fig, (ax1, ax2) = plt.subplots(2, 1)
plot(ax1)
plot(ax2)
Now this seems worse, but we can change the range for each axis to focus on what we want. For now I'm just choosing easy ranges that I know will capture all the data, but I'll focus on making the axes equal later.
# Changes graph axes
ax1.set_ylim(65, 75) # Top graph
ax2.set_ylim(5, 30) # Bottom graph
This is getting closer to what we're looking for. Now we need to just make it look a little nicer:
# Hides the spines between the axes
ax1.spines.bottom.set_visible(False)
ax2.spines.top.set_visible(False)
ax1.xaxis.tick_top()
ax1.tick_params(labeltop=False) # Don't put tick labels at the top
ax2.xaxis.tick_bottom()
# Adds slanted lines to axes
d = .5 # proportion of vertical to horizontal extent of the slanted line
kwargs = dict(
marker=[(-1, -d), (1, d)],
markersize=12,
linestyle='none',
color='k',
mec='k',
mew=1,
clip_on=False
)
ax1.plot([0, 1], [0, 0], transform=ax1.transAxes, **kwargs)
ax2.plot([0, 1], [1, 1], transform=ax2.transAxes, **kwargs)
Finally, let's fix the axes. Here you need to do a little math and decide more on the layout. For instance, maybe we want to make the top graph smaller, since the bottom graph has two lines. To do that, we need to change the height ratios for the subplots, like so:
# Draw the graph on two subplots
# Bottom graph is twice the size of the top one
fig, (ax1, ax2) = plt.subplots(2, 1, gridspec_kw={'height_ratios': [1, 2]})
Finally, It's a good idea to make the axes match. In this case, because the bottom image is twice the size of the top one, we need to change the axes of one to reflect that. I've chosen to modify the top one in this time. The bottom graph covers a range of 25, which means the top one should cover a range of 12.5.
# Changes graph axes
ax1.set_ylim(60.5, 73) # Top graph
ax2.set_ylim(5, 30) # Bottom graph
This looks good enough to me. You can play around more with the axes or tick labels if you don't want the ticks to overlap with the broken lines.
Final code:
import matplotlib.pyplot as plt
import random, math
# Generates data
i = range(10)
x = [math.floor(random.random() * 5) + 67 for i in range(10)]
y = [math.floor(random.random() * 5) + 22 for i in range(10)]
z = [math.floor(random.random() * 5) + 13 for i in range(10)]
# Plotting function
def plot(ax):
ax.plot(i, x, 'ro-')
ax.plot(i, y, 'go-')
ax.plot(i, z, 'bo-')
# Draw the graph on two subplots
# Bottom graph is twice the size of the top one
fig, (ax1, ax2) = plt.subplots(2, 1, gridspec_kw={'height_ratios': [1, 2]})
plot(ax1)
plot(ax2)
# Changes graph axes
ax1.set_ylim(60.5, 73) # Top graph
ax2.set_ylim(5, 30) # Bottom graph
# Hides the spines between the axes
ax1.spines.bottom.set_visible(False)
ax2.spines.top.set_visible(False)
ax1.xaxis.tick_top()
ax1.tick_params(labeltop=False) # Don't put tick labels at the top
ax2.xaxis.tick_bottom()
# Adds slanted lines to axes
d = .5 # proportion of vertical to horizontal extent of the slanted line
kwargs = dict(
marker=[(-1, -d), (1, d)],
markersize=12,
linestyle='none',
color='k',
mec='k',
mew=1,
clip_on=False
)
ax1.plot([0, 1], [0, 0], transform=ax1.transAxes, **kwargs)
ax2.plot([0, 1], [1, 1], transform=ax2.transAxes, **kwargs)
plt.show()

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