Related
How can I set the colormap in relation to the radius of the figure?
And how can I close the ends of the cylinder (on the element, not the top and bottom bases)?
My script:
import numpy as np
from matplotlib import pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
from math import sin, cos, pi
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
h, w = 60,30
znew = np.random.randint(low=90, high=110, size=(60,30))
theta = np.linspace(0,2*pi, h)
Z = np.linspace(0,1,w)
Z,theta = np.meshgrid(Z, theta)
R = 1
X = (R*np.cos(theta))*znew
Y = (R*np.sin(theta))*znew
ax1 = ax.plot_surface(X,Y,Z,linewidth = 0, cmap="coolwarm",
vmin= 80,vmax=130, shade = True, alpha = 0.75)
fig.colorbar(ax1, shrink=0.9, aspect=5)
plt.show()
First you need to use the facecolors keyword argument of plot_surface to draw your surface with arbitrary (non-Z-based) colours. You have to pass an explicit RGBA colour four each point, which means we need to sample a colormap object with the keys given by the radius at every point. Finally, this will break the mappable property of the resulting surface, so we will have to construct the colorbar by manually telling it to use our radii for colours:
import numpy as np
from matplotlib import pyplot as plt
import matplotlib.cm as cm
from matplotlib.colors import Normalize
from mpl_toolkits.mplot3d import Axes3D
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
h, w = 60,30
#znew = np.random.randint(low=90, high=110, size=(h,w))
theta = np.linspace(0,2*np.pi, h)
Z = np.linspace(0,1,w)
Z,theta = np.meshgrid(Z, theta)
znew = 100 + 10*np.cos(theta/2)*np.cos(2*Z*np.pi)
R = 1
X = (R*np.cos(theta))*znew
Y = (R*np.sin(theta))*znew
true_radius = np.sqrt(X**2 + Y**2)
norm = Normalize()
colors = norm(true_radius) # auto-adjust true radius into [0,1] for color mapping
cmap = cm.get_cmap("coolwarm")
ax.plot_surface(X, Y, Z, linewidth=0, facecolors=cmap(colors), shade=True, alpha=0.75)
# the surface is not mappable, we need to handle the colorbar manually
mappable = cm.ScalarMappable(cmap=cmap)
mappable.set_array(colors)
fig.colorbar(mappable, shrink=0.9, aspect=5)
plt.show()
Note that I changed the radii to something smooth for a less chaotic-looking result. The true_radius arary contains the actual radii in data units, which after normalization becomes colors (essentially colors = (true_radius - true_radius.min())/true_radius.ptp()).
The result:
Finally, note that I generated the radii such that the cylinder doesn't close seamlessly. This mimicks your random example input. There's nothing you can do about this as long as the radii are not 2π-periodic in theta. This has nothing to do with visualization, this is geometry.
I would like to add a fourth dimension to the scatter plot by defining the ellipticity of the markers depending on a variable. Is that possible somehow ?
EDIT:
I would like to avoid a 3D-plot. In my opinion these plots are usually not very informative.
You can place Ellipse patches directly onto your axes, as demonstrated in this matplotlib example. To adapt it to use eccentricity as your "third dimension") keeping the marker area constant:
from pylab import figure, show, rand
from matplotlib.patches import Ellipse
import numpy as np
import matplotlib.pyplot as plt
N = 25
# ellipse centers
xy = np.random.rand(N, 2)*10
# ellipse eccentrities
eccs = np.random.rand(N) * 0.8 + 0.1
fig = plt.figure()
ax = fig.add_subplot(111, aspect='equal')
A = 0.1
for pos, e in zip(xy, eccs):
# semi-minor, semi-major axes, b and a:
b = np.sqrt(A/np.pi * np.sqrt(1-e**2))
a = A / np.pi / b
ellipse = Ellipse(xy=pos, width=2*a, height=2*b)
ax.add_artist(ellipse)
ax.set_xlim(0, 10)
ax.set_ylim(0, 10)
show()
Of course, you need to scale your marker area to your x-, y- values in this case.
You can use colorbar as the 4th dimension to your 3D plot. One example is as shown below:
import matplotlib.cm as cmx
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
import matplotlib
import numpy as np
def scatter3d(x,y,z, cs, colorsMap='jet'):
cm = plt.get_cmap(colorsMap)
cNorm = matplotlib.colors.Normalize(vmin=min(cs), vmax=max(cs))
scalarMap = cmx.ScalarMappable(norm=cNorm, cmap=cm)
fig = plt.figure()
ax = Axes3D(fig)
ax.scatter(x, y, z, c=scalarMap.to_rgba(cs))
scalarMap.set_array(cs)
fig.colorbar(scalarMap,label='Test')
plt.show()
x = np.random.uniform(0,1,50)
y = np.random.uniform(0,1,50)
z = np.random.uniform(0,1,50)
so scatter3D(x,y,z,x+y) produces:
with x+y being the 4th dimension shown in color. You can add your calculated ellipticity depending on your specific variable instead of x+y to get what you want.
To change the ellipticity of the markers you will have to create them manually as such a feature is not implemented yet. However, I believe you can show 4 dimensions with a 2D scatter plot by using color and size as additional dimensions. You will have to take care of the scaling from data to marker size yourself. I added a simple function to handle that in the example below:
import matplotlib.pyplot as plt
import numpy as np
data = np.random.rand(60,4)
def scale_size(data, data_min=None, data_max=None, size_min=10, size_max=60):
# if the data limits are set to None we will just infer them from the data
if data_min is None:
data_min = data.min()
if data_max is None:
data_max = data.max()
size_range = size_max - size_min
data_range = data_max - data_min
return ((data - data_min) * size_range / data_range) + size_min
plt.scatter(data[:,0], data[:,1], c=data[:,2], s=scale_size(data[:,3]))
plt.colorbar()
plt.show()
Result:
Is it possible to change the line color in a plot when values exceeds a certain y value?
Example:
import numpy as np
import matplotlib.pyplot as plt
a = np.array([1,2,17,20,16,3,5,4])
plt.plt(a)
This one gives the following:
I want to visualise the values that exceeds y=15. Something like the following figure:
Or something like this(with cycle linestyle)::
Is it possible?
Define a helper function (this a bare-bones one, more bells and whistles can be added). This code is a slight refactoring of this example from the documentation.
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.collections import LineCollection
from matplotlib.colors import ListedColormap, BoundaryNorm
def threshold_plot(ax, x, y, threshv, color, overcolor):
"""
Helper function to plot points above a threshold in a different color
Parameters
----------
ax : Axes
Axes to plot to
x, y : array
The x and y values
threshv : float
Plot using overcolor above this value
color : color
The color to use for the lower values
overcolor: color
The color to use for values over threshv
"""
# Create a colormap for red, green and blue and a norm to color
# f' < -0.5 red, f' > 0.5 blue, and the rest green
cmap = ListedColormap([color, overcolor])
norm = BoundaryNorm([np.min(y), threshv, np.max(y)], cmap.N)
# Create a set of line segments so that we can color them individually
# This creates the points as a N x 1 x 2 array so that we can stack points
# together easily to get the segments. The segments array for line collection
# needs to be numlines x points per line x 2 (x and y)
points = np.array([x, y]).T.reshape(-1, 1, 2)
segments = np.concatenate([points[:-1], points[1:]], axis=1)
# Create the line collection object, setting the colormapping parameters.
# Have to set the actual values used for colormapping separately.
lc = LineCollection(segments, cmap=cmap, norm=norm)
lc.set_array(y)
ax.add_collection(lc)
ax.set_xlim(np.min(x), np.max(x))
ax.set_ylim(np.min(y)*1.1, np.max(y)*1.1)
return lc
Example of usage
fig, ax = plt.subplots()
x = np.linspace(0, 3 * np.pi, 500)
y = np.sin(x)
lc = threshold_plot(ax, x, y, .75, 'k', 'r')
ax.axhline(.75, color='k', ls='--')
lc.set_linewidth(3)
and the output
If you want just the markers to change color, use the same norm and cmap and pass them to scatter as
cmap = ListedColormap([color, overcolor])
norm = BoundaryNorm([np.min(y), threshv, np.max(y)], cmap.N)
sc = ax.scatter(x, y, c=c, norm=norm, cmap=cmap)
Unfortunately, matplotlib doesn't have an easy option to change the color of only part of a line. We will have to write the logic ourselves. The trick is to cut the line up into a collection of line segments, then assign a color to each of them, and then plot them.
from matplotlib import pyplot as plt
from matplotlib.collections import LineCollection
import numpy as np
# The x and y data to plot
y = np.array([1,2,17,20,16,3,5,4])
x = np.arange(len(y))
# Threshold above which the line should be red
threshold = 15
# Create line segments: 1--2, 2--17, 17--20, 20--16, 16--3, etc.
segments_x = np.r_[x[0], x[1:-1].repeat(2), x[-1]].reshape(-1, 2)
segments_y = np.r_[y[0], y[1:-1].repeat(2), y[-1]].reshape(-1, 2)
# Assign colors to the line segments
linecolors = ['red' if y_[0] > threshold and y_[1] > threshold else 'blue'
for y_ in segments_y]
# Stamp x,y coordinates of the segments into the proper format for the
# LineCollection
segments = [zip(x_, y_) for x_, y_ in zip(segments_x, segments_y)]
# Create figure
plt.figure()
ax = plt.axes()
# Add a collection of lines
ax.add_collection(LineCollection(segments, colors=linecolors))
# Set x and y limits... sadly this is not done automatically for line
# collections
ax.set_xlim(0, 8)
ax.set_ylim(0, 21)
Your second option is much easier. We first draw the line and then add the markers as a scatterplot on top of it:
from matplotlib import pyplot as plt
import numpy as np
# The x and y data to plot
y = np.array([1,2,17,20,16,3,5,4])
x = np.arange(len(y))
# Threshold above which the markers should be red
threshold = 15
# Create figure
plt.figure()
# Plot the line
plt.plot(x, y, color='blue')
# Add below threshold markers
below_threshold = y < threshold
plt.scatter(x[below_threshold], y[below_threshold], color='green')
# Add above threshold markers
above_threshold = np.logical_not(below_threshold)
plt.scatter(x[above_threshold], y[above_threshold], color='red')
Basically #RaJa provides the solution, but I think that you can do the same without loading an additional package (pandas), by using masked arrays in numpy:
import numpy as np
import matplotlib.pyplot as plt
a = np.array([1,2,17,20,16,3,5,4])
# use a masked array to suppress the values that are too low
a_masked = np.ma.masked_less_equal(a, 15)
# plot the full line
plt.plot(a, 'k')
# plot only the large values
plt.plot(a_masked, 'r', linewidth=2)
# add the threshold value (optional)
plt.axhline(15, color='k', linestyle='--')
plt.show()
Result:
I don't know wether there is a built-in function in matplolib. But you could convert your numpy array into a pandas series and then use the plot function in combination with boolean selection/masking.
import numpy as np
import pandas as pd
a = np.array([1,2,17,20,16,3,5,4])
aPandas = pd.Series(a)
aPandas.plot()
aPandas[aPandas > 15].plot(color = 'red')
I'm trying to represent one dataset as blocks of color in my plot (instead of showing as a variable width bar chart i would like to show this as a variable width block with a background color.)
I could do something like this:
import numpy
import matplotlib.pyplot as plt
import matplotlib.cm as cm
import matplotlib.colors as colors
# Create fake data
x = numpy.linspace(0,4)
y = numpy.exp(x)
# Now plot one by one
bar_width = x[1] - x[0] # assuming x is linealy spaced
for pointx, pointy in zip(x,y):
point = 40
current_color = cm.jet( min(pointy/30, 30)) # maximum of 30
plt.bar(pointx, point, bar_width, color = current_color)
plt.show()
But then i do not have scaling of the colormap to the extent of my data.
Or i could do something like:
for i in range(10):
color = cm.jet(min(i/30, 30))
plt.axvspan(i, i+1, facecolor=color, alpha=0.5)
But again this is unsatisfactory as i would like to have a way to have my data autoscaled to cmap's min and max.
Thanks!
By the 'extent of your data' I assume you mean that the colour map maxes out for pointy>30. This can easily be solved by simplifying your current_color:
import numpy
import matplotlib.pyplot as plt
import matplotlib.cm as cm
import matplotlib.colors as colors
# Create fake data
x = numpy.linspace(0,4)
y = numpy.exp(x)
# Now plot one by one
bar_width = x[1] - x[0] # assuming x is linealy spaced
max_y = y.max()
min_y = y.min()
for pointx, pointy in zip(x,y):
point = 40
current_color = cm.jet((pointy - min_y)/(max_y - min_y))
plt.bar(pointx, point, bar_width, color = current_color)
plt.show()
Before, once pointy was greater than 30 the value given to cmap.jet was greater than unity which is an upper threshold for the color map. Instead we find the range of y, then find the fraction of the way through this range that pointy is and pass that number (between 0 and 1) to the color map.
It's a little unclear what you are looking for, but I think a few of your questions can be answered by using a scaled cmap, from cm.get_cmap. We can scale the the range of your data from 0,1 and plug it into the cmap. I made the bars have different widths by simply plotting multiple bar charts, there may be a better matplotlib library call to do this in one-shot.
import numpy
import matplotlib.pyplot as plt
import matplotlib.cm as cm
# Create fake data
X = numpy.linspace(0,4)
Y = numpy.exp(X)
# Pick a cmap
cmap = cm.get_cmap('jet')
for x0,x1 in zip(Y,Y[1:]):
c = cmap((x0-Y.min())/Y.max())
plt.bar([x0,],1.0,x1-x0,
color=c,
linewidth=0)
plt.xlim(Y.min(),Y.max())
plt.show()
I have a sequence of line plots for two variables (x,y) for a number of different values of a variable z. I would normally add the line plots with legends like this:
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111)
# suppose mydata is a list of tuples containing (xs, ys, z)
# where xs and ys are lists of x's and y's and z is a number.
legns = []
for(xs,ys,z) in mydata:
pl = ax.plot(xs,ys,color = (z,0,0))
legns.append("z = %f"%(z))
ax.legends(legns)
plt.show()
But I have too many graphs and the legends will cover the graph. I'd rather have a colorbar indicating the value of z corresponding to the color. I can't find anything like that in the galery and all my attempts do deal with the colorbar failed. Apparently I must create a collection of plots before trying to add a colorbar.
Is there an easy way to do this? Thanks.
EDIT (clarification):
I wanted to do something like this:
import matplotlib.pyplot as plt
import matplotlib.cm as cm
fig = plt.figure()
ax = fig.add_subplot(111)
mycmap = cm.hot
# suppose mydata is a list of tuples containing (xs, ys, z)
# where xs and ys are lists of x's and y's and z is a number between 0 and 1
plots = []
for(xs,ys,z) in mydata:
pl = ax.plot(xs,ys,color = mycmap(z))
plots.append(pl)
fig.colorbar(plots)
plt.show()
But this won't work according to the Matplotlib reference because a list of plots is not a "mappable", whatever this means.
I've created an alternative plot function using LineCollection:
def myplot(ax,xs,ys,zs, cmap):
plot = lc([zip(x,y) for (x,y) in zip(xs,ys)], cmap = cmap)
plot.set_array(array(zs))
x0,x1 = amin(xs),amax(xs)
y0,y1 = amin(ys),amax(ys)
ax.add_collection(plot)
ax.set_xlim(x0,x1)
ax.set_ylim(y0,y1)
return plot
xs and ys are lists of lists of x and y coordinates and zs is a list of the different conditions to colorize each line. It feels a bit like a cludge though... I thought that there would be a more neat way to do this. I like the flexibility of the plt.plot() function.
(I know this is an old question but...) Colorbars require a matplotlib.cm.ScalarMappable, plt.plot produces lines which are not scalar mappable, therefore, in order to make a colorbar, we are going to need to make a scalar mappable.
Ok. So the constructor of a ScalarMappable takes a cmap and a norm instance. (norms scale data to the range 0-1, cmaps you have already worked with and take a number between 0-1 and returns a color). So in your case:
import matplotlib.pyplot as plt
sm = plt.cm.ScalarMappable(cmap=my_cmap, norm=plt.normalize(min=0, max=1))
plt.colorbar(sm)
Because your data is in the range 0-1 already, you can simplify the sm creation to:
sm = plt.cm.ScalarMappable(cmap=my_cmap)
EDIT: For matplotlib v1.2 or greater the code becomes:
import matplotlib.pyplot as plt
sm = plt.cm.ScalarMappable(cmap=my_cmap, norm=plt.normalize(vmin=0, vmax=1))
# fake up the array of the scalar mappable. Urgh...
sm._A = []
plt.colorbar(sm)
EDIT: For matplotlib v1.3 or greater the code becomes:
import matplotlib.pyplot as plt
sm = plt.cm.ScalarMappable(cmap=my_cmap, norm=plt.Normalize(vmin=0, vmax=1))
# fake up the array of the scalar mappable. Urgh...
sm._A = []
plt.colorbar(sm)
EDIT: For matplotlib v3.1 or greater simplifies to:
import matplotlib.pyplot as plt
sm = plt.cm.ScalarMappable(cmap=my_cmap, norm=plt.Normalize(vmin=0, vmax=1))
plt.colorbar(sm)
Here's one way to do it while still using plt.plot(). Basically, you make a throw-away plot and get the colorbar from there.
import matplotlib as mpl
import matplotlib.pyplot as plt
min, max = (-40, 30)
step = 10
# Setting up a colormap that's a simple transtion
mymap = mpl.colors.LinearSegmentedColormap.from_list('mycolors',['blue','red'])
# Using contourf to provide my colorbar info, then clearing the figure
Z = [[0,0],[0,0]]
levels = range(min,max+step,step)
CS3 = plt.contourf(Z, levels, cmap=mymap)
plt.clf()
# Plotting what I actually want
X=[[1,2],[1,2],[1,2],[1,2]]
Y=[[1,2],[1,3],[1,4],[1,5]]
Z=[-40,-20,0,30]
for x,y,z in zip(X,Y,Z):
# setting rgb color based on z normalized to my range
r = (float(z)-min)/(max-min)
g = 0
b = 1-r
plt.plot(x,y,color=(r,g,b))
plt.colorbar(CS3) # using the colorbar info I got from contourf
plt.show()
It's a little wasteful, but convenient. It's also not very wasteful if you make multiple plots as you can call plt.colorbar() without regenerating the info for it.
Here is a slightly simplied example inspired by the top answer given by Boris and Hooked (Thanks for the great idea!):
1. Discrete colorbar
Discrete colorbar is more involved, because colormap generated by mpl.cm.get_cmap() is not a mappable image needed as a colorbar() argument. A dummie mappable needs to generated as shown below:
import numpy as np
import matplotlib.pyplot as plt
import matplotlib as mpl
n_lines = 5
x = np.linspace(0, 10, 100)
y = np.sin(x[:, None] + np.pi * np.linspace(0, 1, n_lines))
c = np.arange(1, n_lines + 1)
cmap = mpl.cm.get_cmap('jet', n_lines)
fig, ax = plt.subplots(dpi=100)
# Make dummie mappable
dummie_cax = ax.scatter(c, c, c=c, cmap=cmap)
# Clear axis
ax.cla()
for i, yi in enumerate(y.T):
ax.plot(x, yi, c=cmap(i))
fig.colorbar(dummie_cax, ticks=c)
plt.show();
This will produce a plot with a discrete colorbar:
2. Continuous colorbar
Continuous colorbar is less involved, as mpl.cm.ScalarMappable() allows us to obtain an "image" for colorbar().
import numpy as np
import matplotlib.pyplot as plt
import matplotlib as mpl
n_lines = 5
x = np.linspace(0, 10, 100)
y = np.sin(x[:, None] + np.pi * np.linspace(0, 1, n_lines))
c = np.arange(1, n_lines + 1)
norm = mpl.colors.Normalize(vmin=c.min(), vmax=c.max())
cmap = mpl.cm.ScalarMappable(norm=norm, cmap=mpl.cm.jet)
cmap.set_array([])
fig, ax = plt.subplots(dpi=100)
for i, yi in enumerate(y.T):
ax.plot(x, yi, c=cmap.to_rgba(i + 1))
fig.colorbar(cmap, ticks=c)
plt.show();
This will produce a plot with a continuous colorbar:
[Side note] In this example, I personally don't know why cmap.set_array([]) is necessary (otherwise we'd get error messages). If someone understand the principles under the hood, please comment :)
As other answers here do try to use dummy plots, which is not really good style, here is a generic code for a
Discrete colorbar
A discrete colorbar is produced in the same way a continuous colorbar is created, just with a different Normalization. In this case a BoundaryNorm should be used.
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors
n_lines = 5
x = np.linspace(0, 10, 100)
y = np.sin(x[:, None] + np.pi * np.linspace(0, 1, n_lines))
c = np.arange(1., n_lines + 1)
cmap = plt.get_cmap("jet", len(c))
norm = matplotlib.colors.BoundaryNorm(np.arange(len(c)+1)+0.5,len(c))
sm = plt.cm.ScalarMappable(norm=norm, cmap=cmap)
sm.set_array([]) # this line may be ommitted for matplotlib >= 3.1
fig, ax = plt.subplots(dpi=100)
for i, yi in enumerate(y.T):
ax.plot(x, yi, c=cmap(i))
fig.colorbar(sm, ticks=c)
plt.show()