Matplotlib - Set background colour of specific quadrants - python

In Jfreechart there is a method called setQuadrantPaint which let's you set the background colour of a given quandrant in a plot.
How would you achieve the equivalent in matplotlib?
E.g.

You can plot a 2x2 array with imshow in the background. Giving it an extent will make the center of it always at 0,0.
import numpy as np
import matplotlib.pyplot as plt
x1, y1 = np.random.randint(-8,8,5), np.random.randint(-8,8,5)
x2, y2 = np.random.randint(-8,8,5), np.random.randint(-8,8,5)
vmax = np.abs(np.concatenate([x1,x2,y1,y2])).max() + 5
extent = [vmax*-1,vmax, vmax*-1,vmax]
arr = np.array([[1,0],[0,1]])
fig, ax = plt.subplots(1,1)
ax.scatter(x1,y1, marker='s', s=30, c='r', edgecolors='red', lw=1)
ax.scatter(x2,y2, marker='s', s=30, c='none', edgecolors='red', lw=1)
ax.autoscale(False)
ax.imshow(arr, extent=extent, cmap=plt.cm.Greys, interpolation='none', alpha=.1)
ax.axhline(0, color='grey')
ax.grid(True)
Setting the autoscale to False after the data points are plotted, but before the image is, makes sure that the axes scales only to the data points.

Related

Legend handle not correctly aligned in matplotlib

I'm plotting 3 things at once: a multicolored line via a LineCollection (following this) and a scatter (for the markers to "cover" where the lines are joining) for an average value, and a fill_between for min/max. I get all the legend returns to plot a single legend handle. The graph looks like this:
As one can note, the circle marker is not aligned with the line. How can I adjust this?
The piece of the code that is plotting them and the legend looks like:
lc = LineCollection(segments, cmap='turbo',zorder=3)
p1 = ax.add_collection(lc)
p2 = ax.fill_between(x, errmin,errmax, color=colors[1],zorder=2)
ps = ax.scatter(x,y,marker='o',s=1,c=y,cmap='turbo',zorder=4)
ax.legend([(p2, p1, ps)], ["(min/avg/max)"],fontsize=tinyfont, facecolor='white', loc='lower right')
The legend has a parameter scatteryoffsets= which defaults to [0.375, 0.5, 0.3125]. As only one point is shown, setting it to [0.5] should show the dot in the center of the legend marker.
To change the color of the line in the legend, one could create a copy of the existing line, change its color and create the legend with that copy.
import matplotlib.pyplot as plt
from matplotlib.collections import LineCollection
import numpy as np
from copy import copy
x = np.arange(150)
y = np.random.randn(150).cumsum()
y -= y.min()
y /= y.max()
errmin = 0
errmax = 1
segments = np.array([x[:-1], y[:-1], x[1:], y[1:]]).T.reshape(-1, 2, 2)
fig, ax = plt.subplots(figsize=(12, 3))
lc = LineCollection(segments, cmap='turbo', zorder=3)
lc.set_array(y[:-1])
p1 = ax.add_collection(lc)
p2 = ax.fill_between(x, errmin, errmax, color='lightblue', zorder=2, alpha=0.4)
ps = ax.scatter(x, y, marker='o', s=5, color='black', zorder=4)
p1copy = copy(p1)
p1copy.set_color('crimson')
leg = ax.legend([(p2, p1copy, ps)], ["(min/avg/max)"], fontsize=10, facecolor='white', loc='lower right',
scatteryoffsets=[0.5])
ax.margins(x=0.02)
plt.show()

3D wireframe plot with 2D projections: Spatial organiszation & frequency of projection

I'm working on a 3D plot displayed by a wireframe, where 2D plots are projected on the x, y, and z surface, respectively. Below you can find a minimum example.
I have 2 questions:
With contourf, the 2D plots for every x=10, x=20,... or y=10, y=20,... are displayed on the plot walls. Is there a possibility to define for which x or y, respectively, the contour plots are displayed? For example, in case I only want to have the xz contour plot for y = 0.5 mirrored on the wall?
ADDITION: To display what I mean with "2D plots", I changed "contourf" in the code to "contour" and added the resulting plot to this question. Here you can see now the xz lines for different y values, all offset to y=90. What if I do not want to have all the lines, but only two of them for defined y values?
3D_plot_with_2D_contours
As you can see in the minimum example, the 2D contour plot optically covers the wireframe 3D plot. With increasing the transparency with alpha=0.5 I can increase the transparency of the 2D contours to at least see the wireframe, but it is still optically wrong. Is it possible to sort the objects correctly?
import matplotlib.pyplot as plt,numpy as np
import pylab as pl
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
plt.clf()
fig = plt.figure(1,figsize=(35,17),dpi=600,facecolor='w',edgecolor='k')
fig.set_size_inches(10.5,8)
ax = fig.gca(projection='3d')
X, Y, Z = axes3d.get_test_data(0.05)
Xnew = X + 50
Ynew = Y + 50
cset = ax.contourf(Xnew, Ynew, Z, zdir='z', offset=-100, cmap=plt.cm.coolwarm, alpha=0.5)
cset = ax.contourf(Xnew, Ynew, Z, zdir='x', offset=10, cmap=plt.cm.coolwarm, alpha=0.5)
cset = ax.contourf(Xnew, Ynew, Z, zdir='y', offset=90, cmap=plt.cm.coolwarm, alpha = 0.5)
ax.plot_wireframe(Xnew, Ynew, Z, rstride=5, cstride=5, color='black')
Z=Z-Z.min()
Z=Z/Z.max()
from scipy.ndimage.interpolation import zoom
Xall=zoom(Xnew,5)
Yall=zoom(Ynew,5)
Z=zoom(Z,5)
ax.set_xlim(10, 90)
ax.set_ylim(10, 90)
ax.set_zlim(-100, 100)
ax.tick_params(axis='z', which='major', pad=10)
ax.set_xlabel('X',labelpad=10)
ax.set_ylabel('Y',labelpad=10)
ax.set_zlabel('Z',labelpad=17)
ax.view_init(elev=35., azim=-70)
fig.tight_layout()
plt.show()
ADDITION 2: Here is the actual code I'm working with. However, the original data are hidden in the csv files which are too big to be included in the minimal example. That's why was initially replacing them by the test data. However, maybe the actual code helps nevertheless.
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
import pylab as pl
from matplotlib.markers import MarkerStyle
import csv
with open("X.csv", 'r') as f:
X = list(csv.reader(f, delimiter=";"))
import numpy as np
X = np.array(X[1:], dtype=np.float)
import csv
with open("Z.csv", 'r') as f:
Z = list(csv.reader(f, delimiter=";"))
import numpy as np
Z = np.array(Z[1:], dtype=np.float)
Y = [[7,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8,8.1,8.2,8.3,8.4,8.5,8.6,8.7,8.8,8.9,9]]
Xall = np.repeat(X[:],21,axis=1)
Yall = np.repeat(Y[:],30,axis=0)
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt,numpy as np
plt.clf()
fig = plt.figure(1,figsize=(35,17),dpi=600,facecolor='w',edgecolor='k')
fig.set_size_inches(10.5,8)
ax = fig.gca(projection='3d')
cset = ax.contourf(Xall, Yall, Z, 2, zdir='x', offset=0, cmap=plt.cm.coolwarm, shade = False, edgecolor='none', alpha=0.5)
cset = ax.contourf(Xall, Yall, Z, 2, zdir='y', offset=9, cmap=plt.cm.coolwarm, shade = False, edgecolor='none', alpha=0.5)
ax.plot_wireframe(Xall, Yall, Z, rstride=1, cstride=1, color='black')
Z=Z-Z.min()
Z=Z/Z.max()
from scipy.ndimage.interpolation import zoom
Xall=zoom(Xall,5)
Yall=zoom(Yall,5)
Z=zoom(Z,5)
cset = ax.plot_surface(Xall, Yall, np.zeros_like(Z)-0,facecolors=plt.cm.coolwarm(Z),shade=False,alpha=0.5,linewidth=False)
ax.set_xlim(-0.5, 31)
ax.set_ylim(6.9, 9.1)
ax.set_zlim(0, 500)
labelsx = [item.get_text() for item in ax.get_xticklabels()]
empty_string_labelsx = ['']*len(labelsx)
ax.set_xticklabels(empty_string_labelsx)
labelsy = [item.get_text() for item in ax.get_yticklabels()]
empty_string_labelsy = ['']*len(labelsy)
ax.set_yticklabels(empty_string_labelsy)
labelsz = [item.get_text() for item in ax.get_zticklabels()]
empty_string_labelsz = ['']*len(labelsz)
ax.set_zticklabels(empty_string_labelsz)
import matplotlib.ticker as ticker
ax.xaxis.set_major_locator(ticker.MultipleLocator(5))
ax.xaxis.set_minor_locator(ticker.MultipleLocator(1))
ax.yaxis.set_major_locator(ticker.MultipleLocator(0.5))
ax.yaxis.set_minor_locator(ticker.MultipleLocator(0.25))
ax.zaxis.set_major_locator(ticker.MultipleLocator(100))
ax.zaxis.set_minor_locator(ticker.MultipleLocator(50))
ax.tick_params(axis='z', which='major', pad=10)
ax.set_xlabel('X',labelpad=5,fontsize=15)
ax.set_ylabel('Y',labelpad=5,fontsize=15)
ax.set_zlabel('Z',labelpad=5,fontsize=15)
ax.view_init(elev=35., azim=-70)
fig.tight_layout()
plt.show()
Alternate possible answer.
This code demonstrates
A plot of a surface and its correponding wireframe
The creation of data and its plot of 3d lines (draped on the surface in 1) at specified values of x and y
Projections of the 3d lines (in 2) on to the frame walls
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt
from scipy import interpolate
import numpy as np
# use the test data for plotting
fig = plt.figure(1, figsize=(6,6), facecolor='w', edgecolor='gray')
ax = fig.gca(projection='3d')
X, Y, Z = axes3d.get_test_data(0.1) #get 3d data at appropriate density
# create an interpolating function
# can take a long time if data is too large
f1 = interpolate.interp2d(X, Y, Z, kind='linear')
# in general, one can use a set of other X,Y,Z that cover a surface
# preferably, (X,Y) are in grid arrangement
# make up a new set of 3d data to plot
# ranges of x1, and y1 will be inside (X,Y) of the data obtained above
# related grid, x1g,y1g,z1g will be obtained from meshgrid and the interpolated function
x1 = np.linspace(-15,15,10)
y1 = np.linspace(-15,15,10)
x1g, y1g = np.meshgrid(x1, y1)
z1g = f1(x1, y1) #dont use (x1g, y1g)
# prep data for 3d line on the surface (X,Y,Z) at x=7.5
n = 12
x_pf = 7.5
x5 = x_pf*np.ones(n)
y5 = np.linspace(-15, 15, n)
z5 = f1(x_pf, y5)
# x5,y5,z5 can be used to plot 3d line on the surface (X,Y,Z)
# prep data for 3d line on the surface (X,Y,Z) at y=6
y_pf = 6
x6 = np.linspace(-15, 15, n)
y6 = x_pf*np.ones(n)
z6 = f1(x6, y_pf)
# x6,y6,z6 can be used to plot 3d line on the surface (X,Y,Z)
ax = fig.gca(projection='3d')
ax.plot_surface(x1g, y1g, z1g, alpha=0.25)
ax.plot_wireframe(x1g, y1g, z1g, rstride=2, cstride=2, color='black', zorder=10, alpha=1, lw=0.8)
# 3D lines that follow the surface
ax.plot(x5,y5,z5.flatten(), color='red', lw=4)
ax.plot(x6,y6,z6.flatten(), color='green', lw=4)
# projections of 3d curves
# project red and green lines to the walls
ax.plot(-15*np.ones(len(y5)), y5, z5.flatten(), color='red', lw=4, linestyle=':', alpha=0.6)
ax.plot(x6, 15*np.ones(len(x6)), z6.flatten(), color='green', lw=4, linestyle=':', alpha=0.6)
# projections on other sides (become vertical lines)
# change to if True, to plot these
if False:
ax.plot(x5, 15*np.ones(len(x5)), z5.flatten(), color='red', lw=4, alpha=0.3)
ax.plot(-15*np.ones(len(x6)), y6, z6.flatten(), color='green', lw=4, alpha=0.3)
ax.set_title("Projections of 3D lines")
# set limits
ax.set_xlim(-15, 15.5)
ax.set_ylim(-15.5, 15)
plt.show();
(Answer to question 1) To plot the intersections between the surface and the specified planes (y=-20, and y=20), one need to find what Y[?]=-20 and 20. By inspection, I found that Y[100]=20, Y[20]=-20.
The relevant code to plot the lines of intersection:
# By inspection, Y[100]=20, Y[20]=-20
ax.plot3D(X[100], Y[100], Z[100], color='red', lw=6) # line-1 at y=20
ax.plot3D(X[20], Y[20], Z[20], color='green', lw=6) # line-2 at y=-20
# Project them on Z=-100 plane
ax.plot3D(X[100], Y[100], -100, color='red', lw=3) # projection of Line-1
ax.plot3D(X[20], Y[20], -100, color='green', lw=3) # projection of Line-2
The output plot:
(Answer to question 2) To get better plot with the wireframe standout from the surface plot. The surface plot must be partially transparent, which is achieved by setting option alpha=0.6. The relevant code follows.
Z1 = Z-Z.min()
Z1 = Z1/Z.max()
Xall = zoom(X,3)
Yall = zoom(Y,3)
Zz = zoom(Z1, 3)
surf = ax.plot_surface(Xall, Yall, Zz, rstride=10, cstride=10,
facecolors = cm.jet(Zz/np.amax(Zz)),
linewidth=0, antialiased=True,
alpha= 0.6)
# Wireframe
ax.plot_wireframe(X, Y, Z, rstride=5, cstride=5, color='black', alpha=1, lw=0.8)
The plot is:

Matplotlib - create a scatter plot with points that fill the available space

I can create a scatter plot as follows:
fig, ax = plt.subplots()
x1 = [1, 1, 2]
y1 = [1, 2, 1]
x2 = [2]
y2 = [2]
ax.scatter(x1, y1, color="red", s=500)
ax.scatter(x2, y2, color="blue", s=500)
which gives
What I would like is something like the following (apologies for poor paint work):
I am plotting data that is all integer values, so they're all on a grid. I would like to be able to control the size of the scatter marker so that I could have white space around the points, or I could make the points large enough such that there would be no white space around them (as I have done in the above paint image).
Note - ideally the solution will be in pure matplotlib, using the OOP interface as they suggest in the documentation.
import matplotlib.pyplot as plt
import matplotlib as mpl
# X and Y coordinates for red circles
red_xs = [1,2,3,4,1,2,3,4,1,2,1,2]
red_ys = [1,1,1,1,2,2,2,2,3,3,4,4]
# X and Y coordinates for blue circles
blu_xs = [3,4,3,4]
blu_ys = [3,3,4,4]
# Plot with a small markersize
markersize = 5
fig, ax = plt.subplots(figsize=(3,3))
ax.plot(red_xs, red_ys, marker="o", color="r", linestyle="", markersize=markersize)
ax.plot(blu_xs, blu_ys, marker="o", color="b", linestyle="", markersize=markersize)
plt.show()
# Plot with a large markersize
markersize = 50
fig, ax = plt.subplots(figsize=(3,3))
ax.plot(red_xs, red_ys, marker="o", color="r", linestyle="", markersize=markersize)
ax.plot(blu_xs, blu_ys, marker="o", color="b", linestyle="", markersize=markersize)
plt.show()
# Plot with using patches and radius
r = 0.5
fig, ax = plt.subplots(figsize=(3,3))
for x, y in zip(red_xs, red_ys):
ax.add_patch(mpl.patches.Circle((x,y), radius=r, color="r"))
for x, y in zip(blu_xs, blu_ys):
ax.add_patch(mpl.patches.Circle((x,y), radius=r, color="b"))
ax.autoscale()
plt.show()

matplotlib fill_between facecolor alpha vs edgecolor alpha?

Is there a way to either specify different alphas for facecolor vs edgecolor? Or is there a way to plot an alpha filled area with non-alpha edgecolor that also works in the legend?
This is not what I want...
axs.fill_between(xvalues, tupper_w, tlower_w, facecolor='dimgray', edgecolor='dimgray', alpha=0.25, label='$measured\quad\sigma$')
axs.fill_between(xvalues, pupper_w, plower_w, facecolor='orange', edgecolor='orange', alpha=0.25, label='$predicted\quad\sigma$')
axs.plot(xvalues, tcurvesavg_w, color='dimgray', label='$\overline{measured}$', ls='--')
axs.plot(xvalues, pcurvesavg_w, color='orange', label='$\overline{predicted}$', ls='--')
This is what I want (but with proper legend):
axs.fill_between(xvalues, tupper, tlower, facecolor='dimgray', alpha=0.25, label='$measured\quad\sigma$')
axs.fill_between(xvalues, pupper, plower, facecolor='orange', alpha=0.25, label='$predicted\quad\sigma$')
axs.plot(xvalues, tupper, color='dimgray', lw=0.5)
axs.plot(xvalues, tcurvesavg, color='dimgray', label='$\overline{measured}$', ls='--')
axs.plot(xvalues, tlower, color='dimgray', lw=0.5)
axs.plot(xvalues, pupper, color='orange', lw=0.5)
axs.plot(xvalues, pcurvesavg, color='orange', label='$\overline{predicted}$', ls='--')
axs.plot(xvalues, plower, color='orange', lw=0.5)
You cannot specify different alpha values via the alpha argument. However you can define each of facecolor and edgecolor with an alpha channel, e.g. for red with 40% opacity
facecolor=(1,0,0,.4)
This is then directly applied in the legend.
import matplotlib.pyplot as plt
import numpy as np
x = np.arange(0.0, 2, 0.01)
y1 = np.sin(2*np.pi*x)
y2 = 1.2*np.sin(4*np.pi*x)-.9
fig, ax = plt.subplots()
ax.fill_between(x, y1, y1+.5, facecolor=(1,0,0,.4), edgecolor=(0,0,0,.5), label="Label 1")
ax.fill_between(x, y2, y2-.5, facecolor=(0,0,1,.4), edgecolor=(0,0,0,.5), label="Label 1")
ax.legend()
plt.show()
Immediately, looking at fill_between alpha and general fill_between documentation it appears to be unsupported. The legend documentation doesn't seem to provide an option for adding your border after plotting either.
In your second code snippet, if you can figure out how to get the plot and fill functions to have a single handle then the legend should automatically format. Something similar to below (adapted from this similar, but not quite duplicate StackExchangePost):
import matplotlib.patches as mpatches
import matplotlib.pyplot as plt
import numpy as np
xvalues = np.linspace(0,1,11)
tcurvesavg = np.linspace(0,1,11)
p1, = plt.plot(xvalues, tcurvesavg , c='r') # notice the comma!
p2 = plt.fill_between(xvalues, tcurvesavg -0.2, tcurvesavg +0.2, color='r', alpha=0.5)
plt.legend(((p1,p2),), ('Entry',))
plt.show()
(As a non-automated workaround for most matplotlib questions, save as a svg (similar to this post) and add a border in a vector graphics program like Inkscape. You shouldn't lose resolution, and could still put it in reports etc.)

Z-order across axes when using matplotlib's twinx [duplicate]

In pyplot, you can change the order of different graphs using the zorder option or by changing the order of the plot() commands. However, when you add an alternative axis via ax2 = twinx(), the new axis will always overlay the old axis (as described in the documentation).
Is it possible to change the order of the axis to move the alternative (twinned) y-axis to background?
In the example below, I would like to display the blue line on top of the histogram:
import numpy as np
import matplotlib.pyplot as plt
import random
# Data
x = np.arange(-3.0, 3.01, 0.1)
y = np.power(x,2)
y2 = 1/np.sqrt(2*np.pi) * np.exp(-y/2)
data = [random.gauss(0.0, 1.0) for i in range(1000)]
# Plot figure
fig = plt.figure()
ax1 = fig.add_subplot(111)
ax2 = ax1.twinx()
ax2.hist(data, bins=40, normed=True, color='g',zorder=0)
ax2.plot(x, y2, color='r', linewidth=2, zorder=2)
ax1.plot(x, y, color='b', linewidth=2, zorder=5)
ax1.set_ylabel("Parabola")
ax2.set_ylabel("Normal distribution")
ax1.yaxis.label.set_color('b')
ax2.yaxis.label.set_color('r')
plt.show()
Edit: For some reason, I am unable to upload the image generated by this code. I will try again later.
You can set the zorder of an axes, ax.set_zorder(). One would then need to remove the background of that axes, such that the axes below is still visible.
ax2 = ax1.twinx()
ax1.set_zorder(10)
ax1.patch.set_visible(False)

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