How do I animate the following lines in matplotlib using my `ndarray`? - python

I have the following function to generate a brownian motion:
from matplotlib import pyplot as plt
from matplotlib import animation
import numpy as np
from scipy.stats import uniform, norm
def walk(n):
angle = uniform.rvs( size=(n,), loc=.0, scale=2.*np.pi )
r = norm.rvs( size=n )
x = np.cumsum( r * np.cos(angle) )
y = np.cumsum( r * np.sin(angle) )
return np.array((x, y, r, angle))
If I call this like brownian = walk(1000), and plot it like ax.plot( brownian[0,:], brownian[1,:], color='k'), it plots it correctly, but now I want to animate it and do this (taken from here):
# Length of array (or how long motion is modeled)
motionLength = 1000
# First set up the figure, the axis, and the plot element we want to animate
fig = plt.figure()
xyMin = brownian.min() * 1.2
xyMax = brownian.max() * 1.2
plt.axis('equal')
ax = plt.axes(xlim=(xyMin,xyMax), ylim=(xyMin,xyMax))
line, = plt.plot([], [], lw=1, color='k')
# initialization function: plot the background of each frame
def init():
line.set_data([], [])
return line,
def iterr(i):
line.set_data(brownian[:i,0],brownian[[:i,1]) # problem here?
return line,
anim = animation.FuncAnimation(fig, iterr, init_func=init, frames=motionLength,
interval=100, blit=True)
anim.save('test_animation_2.mp4', fps=120, bitrate=-1,
extra_args=['-vcodec', 'libx264'])
But I cannot seem to get it to work. I guess the problem lies in my building the lists in iterr, because either 1) I'm not taking the correct values with my slices, or 2) I'm not getting getting from walk what I think I'm getting.
How do I rewrite iterr to work with my ndarray.

Related

Need help on animating a 2-D trajectory using FuncAnimation

I have an array x_trj that has shape (50,3), and I want to plot a 2-D trajectory using the 1st and the 2nd columns of this array (x & y coordinates respectively). This trajectory will be on top of a circle. Here is my code so far:
from matplotlib.animation import FuncAnimation
import matplotlib.pyplot as plt
fig = plt.figure()
ax = plt.axes(xlim=(-5, 5), ylim=(-5, 5))
line, = ax.plot([], [], lw=2)
# Plot circle
theta = np.linspace(0, 2*np.pi, 100)
plt.plot(r*np.cos(theta), r*np.sin(theta), linewidth=5)
ax = plt.gca()
def animate(n):
# Plot resulting trajecotry of car
for n in range(x_trj.shape[0]):
line.set_xdata(x_trj[n,0])
line.set_ydata(x_trj[n,1])
return line,
anim = FuncAnimation(fig, animate,frames=200, interval=20)
However, the animation turns out to be a stationary figure. I checked out the Matplotlib animation example on the documentation page, but I still can't figure out what my animate(n) function should look like in this case. Can someone give me some hints?
The code below makes the following changes:
added some test data
in animate:
remove the for loop
only copy the part of the trajectory until the given n
in the call to FuncAnimation:
`frames should be equal to the given number of points (200 frames and 50 points doesn't work well)
interval= set to a larger number, as 20 milliseconds make things too fast for only 50 frames
added plt.show() (depending on the environment where the code is run, plt.show() will trigger the animation to start)
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation
import numpy as np
# create some random test data
x_trj = np.random.randn(50, 3).cumsum(axis=0)
x_trj -= x_trj.min(axis=0, keepdims=True)
x_trj /= x_trj.max(axis=0, keepdims=True)
x_trj = x_trj * 8 - 4
fig = plt.figure()
ax = plt.axes(xlim=(-5, 5), ylim=(-5, 5))
line, = ax.plot([], [], lw=2)
# Plot circle
theta = np.linspace(0, 2 * np.pi, 100)
r = 4
ax.plot(r * np.cos(theta), r * np.sin(theta), linewidth=5)
def animate(n):
line.set_xdata(x_trj[:n, 0])
line.set_ydata(x_trj[:n, 1])
return line,
anim = FuncAnimation(fig, animate, frames=x_trj.shape[0], interval=200)
# anim.save('test_trajectory_animation.gif')
plt.show()

Animating a time-dependent LineCollection using matplotlib

As stated above, I am trying to animate a set of data that varies over time (position). I would like my graph to only show the position data but animate the position history over time. I have started with this example here, and got it working. Now, instead of the whole line animating, I would like for the line to be drawn from left to right. I also need the line to be colored relative to a secondary set of data, which I have been able to accomplish with a LineCollection.
My code:
import numpy as np
from matplotlib import pyplot as plt
from matplotlib import animation
from matplotlib.collections import LineCollection
from matplotlib.colors import ListedColormap, BoundaryNorm
# First set up the figure, the axis, and the plot element we want to animate
fig = plt.figure()
ax = plt.axes(xlim=(0, 2), ylim=(-2, 2))
line = LineCollection([], cmap=plt.cm.jet)
line.set_array(np.linspace(0, 2, 1000))
ax.add_collection(line)
x = np.linspace(0, 2, 10000)
y = np.sin(2 * np.pi * (x))
# initialization function: plot the background of each frame
def init():
line.set_segments([])
return line,
# animation function. This is called sequentially
def animate(i, xss, yss, line):
xs = xss[:i]
ys = yss[:i]
points = np.array([xs, ys]).T.reshape(-1, 1, 2)
segments = np.concatenate([points[:-1], points[1:]], axis=1)
line.set_segments(segments)
return line,
# call the animator. blit=True means only re-draw the parts that have changed.
anim = animation.FuncAnimation(fig, animate, fargs=[x, y, line], init_func=init, frames=200, interval=20)
plt.show()
I create a basic sine wave data set and again would like to animate the line being drawn from left to right. Right now, the LineCollection is being colored by the y-value of the line at the current x-position. Eventually, this will be a position data set pulled from a .csv file.
Finally, the issue. The code above runs without errors, however the line is not being drawn. I can see in my debugger that the xs and ys arrays are being added to during each step so that syntax seems to be working, just the updated LineCollection is not being displayed.
I am working on macOS Mojave 10.14.6.
Your code is correct, the line you're plotting is just very small. This is because the function you animate is given by
x = np.linspace(0, 2, 10000) # Note that `num=10000`
y = np.sin(2 * np.pi * (x))
which has 10000 points, but you only animate the first 200 points.
anim = animation.FuncAnimation(..., frames=200, interval=20)
Easy fix
num_frames = 200
x = np.linspace(0, 2, num_frames)
...
anim = animation.FuncAnimation(..., frames=num_frames, interval=20)

Real time live graphs in Jupyter Notebook

I have just started learning python to plot realtime gragh. I have tried solutions provided on stackoverflow but none of them are working. Below is my code and it isn't woorking. Please help
import numpy as np
import matplotlib.pyplot as plt
import pyautogui as pg
from matplotlib.animation import FuncAnimation
%matplotlib notebook
binSize = 512
# fig(ax1,ax2) = plt.subplots(2,figsize=(12,6))
f = []
def animate(i):
try:
while True:
x, y = pg.position()
f.append(x)
except KeyboardInterrupt:
print('')
# f.append(15)
if len(f)<binSize :
plt.cla()
plt.plot(f, color='c',LineWidth=1.5,label="Noisy")
else:
plt.cla()
plt.plot(f[-binSize:],color='c',LineWidth=1.5,label="Noisy")
ani = FuncAnimation(plt.gcf(),animate,interval=1);
So I have updated the code and trying to draw two subplots but after sometime
Upper graph stopped clearing the canvas (Mouse X coordinates)
Lower graph stopped updating the plot (FFT)
When data grows beyond the binSize, notebook freezes and plots update really slowly
%matplotlib notebook
binSize = 256
# fig(ax1,ax2) = plt.subplots(2,figsize=(12,6))
f = []
t = 0
dt = 1
fig,axs = plt.subplots(2,1)
def animate(i):
x, y = pg.position()
f.append(x)
n = len(f)
if n<binSize :
plt.sca(axs[0])
plt.cla()
plt.plot(f, color='c',LineWidth=1.5,label="MOUSE")
else:
fhat = np.fft.fft(f,binSize)
PSD = fhat*np.conj(fhat)/binSize
freq = (1/(dt*binSize))*np.arange(binSize)
L = np.arange(1,np.floor(binSize/2),dtype='int')
# update the code third time
axs[0].clear()
axs[0].plot(f[-binSize:], color='c',LineWidth=1.5,label="MOUSE")
# axs[0].xlim(0,binSize) # this stopped the FFT graph to be plotted
# plt.cla()
axs[1].clear()
axs[1].plot(freq[L],PSD[L],color='r',LineWidth=2,label="FFT")
# plt.xlim(t[0],t[-1])
# plt.legend()
# plt.sca(axs[1])
# plt.plot(freq[L],PSD[L],color='c',LineWidth=2,label="Mouse FFT")
# plt.xlim(0,300)
# plt.legend()
# plt.cla()
# plt.plot(f[-binSize:],color='c',LineWidth=1.5,label="Mouse")
ani = FuncAnimation(plt.gcf(),animate,interval=dt)
To make it faster you may reduce data like in other answer
f.pop(0)
I use also different method to update plot which works much faster on my computer.
I create empty plots at start
# needs `,` to get first element from list
p1, = axs[0].plot([], [], color='c', LineWidth=1.5, label="MOUSE")
p2, = axs[1].plot([], [], color='r', LineWidth=2, label="FFT")
and later only update data in plots without clear() and plot() again
xdata = range(len(f))
ydata = f
p1.set_data(xdata, ydata)
and
# replace data in plot
xdata = range(binSize)
ydata = f[-binSize:]
p1.set_data(xdata, ydata)
#p1.set_xdata(xdata)
#p1.set_ydata(ydata)
# replace data in plot
xdata = freq[:(binSize//2)]
ydata = PSD[:(binSize//2)]
p2.set_data(xdata, ydata)
It needs only to run code which rescale plot
# rescale view
axs[0].relim()
axs[0].autoscale_view(True,True,True)
axs[1].relim()
axs[1].autoscale_view(True,True,True)
animate() has to also return new plots
# return plots
return p1, p2
And FuncAnimation() has to blit them
ani = FuncAnimation(..., blit=True)
EDIT:
Animation works much, much faster also because I run it normally python script.py, not in Jupuyter Notebook
EDIT:
when I run normally I found one problem which I could find solution: it doesn't update values/ticks on axes. Jupyter Notebook doesn't have this problem.
import numpy as np
import matplotlib.pyplot as plt
import pyautogui as pg
from matplotlib.animation import FuncAnimation
%matplotlib notebook
binSize = 256
f = []
t = 0
dt = 1
fig, axs = plt.subplots(2, 1)
# needs `,` to get first element from list
p1, = axs[0].plot([], [], color='c', LineWidth=1.5, label="MOUSE")
p2, = axs[1].plot([], [], color='r', LineWidth=2, label="FFT")
freq = np.arange(binSize)/(dt*binSize)
def animate(i):
x, y = pg.position()
n = len(f)
if n < binSize :
f.append(x)
# replace data in plot
xdata = range(len(f))
ydata = f
p1.set_data(xdata, ydata)
#p1.set_xdata(xdata)
#p1.set_ydata(ydata)
else:
f.pop(0)
f.append(x)
fhat = np.fft.fft(f, binSize)
PSD = fhat * np.conj(fhat) / binSize
# replace data in plot
#xdata = range(binSize)
ydata = f[-binSize:]
#p1.set_data(xdata, ydata)
#p1.set_xdata(xdata)
p1.set_ydata(ydata)
# replace data in plot
xdata = freq[:(binSize//2)]
ydata = PSD[:(binSize//2)]
p2.set_data(xdata, ydata)
# rescale view
axs[0].relim()
axs[0].autoscale_view(True,True,True)
axs[1].relim()
axs[1].autoscale_view(True,True,True)
# return plots
return p1, p2
ani = FuncAnimation(plt.gcf(), animate, interval=dt, blit=True)
plt.show()
You should try this. Instead of clearing the plt clear axs[0] and so on. Also, instead of plotting on plt.plot, plot on axs[0].plot
%matplotlib notebook
binSize = 256
# fig(ax1,ax2) = plt.subplots(2,figsize=(12,6))
f = []
t = 0
dt = 1
fig,axs = plt.subplots(2,1)
plt.sca(axs[0])
plt.sca(axs[1])
def animate(i):
x, y = pg.position()
n = len(f)
if n<binSize :
f.append(x*100)
axs[0].clear()
axs[0].plot(f, color='c',LineWidth=1.5,label="MOUSE")
else:
f.pop(0)
f.append(x)
fhat = np.fft.fft(f,binSize)
PSD = fhat*np.conj(fhat)/binSize
freq = (1/(dt*binSize))*np.arange(binSize)
L = np.arange(1,np.floor(binSize/2),dtype='int') # index array of [1,2,3..... binsize/2] type int
axs[0].clear()
axs[0].plot(f[-binSize:], color='c',LineWidth=1.5,label="MOUSE")
axs[1].clear()
axs[1].plot(freq[L],PSD[L],color='r',LineWidth=2,label="FFT")
ani = FuncAnimation(plt.gcf(),animate,interval=dt)
plt.show()

Animating a line plot over time in Python

Time series data is data over time. I am trying to animate a line plot of time series data in python. In my code below this translates to plotting xtraj as they and trange as the x. The plot does not seem to be working though.
I have found similar questions on Stack overflow but none of the solutions provided here seem to work. Some similar questions are matplotlib animated line plot stays empty, Matplotlib FuncAnimation not animating line plot and a tutorial referencing the help file Animations with Matplotlib.
I begin by creating the data with the first part and simulating it with the second. I tried renaming the data that would be used as y-values and x-values in order to make it easier to read.
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import animation
dt = 0.01
tfinal = 5.0
x0 = 0
sqrtdt = np.sqrt(dt)
n = int(tfinal/dt)
xtraj = np.zeros(n+1, float)
trange = np.linspace(start=0,stop=tfinal ,num=n+1)
xtraj[0] = x0
for i in range(n):
xtraj[i+1] = xtraj[i] + np.random.normal()
x = trange
y = xtraj
# animation line plot example
fig = plt.figure(4)
ax = plt.axes(xlim=(-5, 5), ylim=(0, 5))
line, = ax.plot([], [], lw=2)
def init():
line.set_data([], [])
return line,
def animate(i):
line.set_data(x[:i], y[:i])
return line,
anim = animation.FuncAnimation(fig, animate, init_func=init, frames=len(x)+1,interval=200, blit=False)
plt.show()
Any help would be highly appreciated. I am new to working in Python and particularly trying to animate plots. So I must apologize if this question is trivial.
Summary
So to summarize my question how does one animate time series in Python, iterating over the time steps (x-values).
Check this code:
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import animation
dt = 0.01
tfinal = 1
x0 = 0
sqrtdt = np.sqrt(dt)
n = int(tfinal/dt)
xtraj = np.zeros(n+1, float)
trange = np.linspace(start=0,stop=tfinal ,num=n+1)
xtraj[0] = x0
for i in range(n):
xtraj[i+1] = xtraj[i] + np.random.normal()
x = trange
y = xtraj
# animation line plot example
fig, ax = plt.subplots(1, 1, figsize = (6, 6))
def animate(i):
ax.cla() # clear the previous image
ax.plot(x[:i], y[:i]) # plot the line
ax.set_xlim([x0, tfinal]) # fix the x axis
ax.set_ylim([1.1*np.min(y), 1.1*np.max(y)]) # fix the y axis
anim = animation.FuncAnimation(fig, animate, frames = len(x) + 1, interval = 1, blit = False)
plt.show()
The code above reproduces this animation:

Animate Points Movement in Scatter plot (matplotlib python)

I'm not a beginner, but I'm also not advanced dev of python code.
I'm been trying to animate points movement in scatter plot and to put annotation on every point. All I have done is animation of one point with no annotation. I've searched similar solutions, but it's so confusing. Any help is welcome. This is what I've done.
from mpl_toolkits.mplot3d import axes3d
import matplotlib.pyplot as plt
import matplotlib.animation as animation
frame_count = 0
points = reading_file("some_data") # this method is not of intrest
def make_one_point(i):
global frame_count, points
ex = [1]
ey = [1]
ez = [1]
point = points[i]
frame = point[frame_count]
ex[0] = frame[0]
ey[0] = frame[1]
ez[0] = frame[2]
frame_count += 1
return ex, ey, ez
def update(i):
global frame_count, points
if frame_count < len(points[i]):
return make_one_point(i)
else:
frame_count = 0
return make_one_point(i)
fig = plt.figure()
ax1 = fig.add_subplot(111, projection='3d')
ax1.set_xlim3d(-500, 2000)
ax1.set_ylim3d(-500, 2000)
ax1.set_zlim3d(0, 2000)
x = [1]
y = [1]
z = [1]
scat = ax1.scatter(x,y,z)
def animate(i):
scat._offsets3d = update(0)
ani = animation.FuncAnimation(fig, animate,
frames=len(points[10]),
interval=100, repeat=True)
plt.show()
How to animate more points at the same time, and put annontation on every one of them? There are 50 points, and I'm not so consern about efficiency, just to make it work.
This code output is moving one point animation
It turns out animating Text in 3D was harder than I anticipated. Not surprisingly, I was able to find the solution to the problem in an answer from #ImportanceOfBeingErnest. I then simply adapted the code I had already written in a previous answer, and produced the following code:
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D, proj3d
import matplotlib.animation as animation
N_points = 10
def update(num, my_ax):
# the following corresponds to whatever logic must append in your code
# to get the new coordinates of your points
# in this case, we're going to move each point by a quantity (dx,dy,dz)
dx, dy, dz = np.random.normal(size=(3,N_points), loc=0, scale=1)
debug_text.set_text("{:d}".format(num)) # for debugging
x,y,z = graph._offsets3d
new_x, new_y, new_z = (x+dx, y+dy, z+dz)
graph._offsets3d = (new_x, new_y, new_z)
for t, new_x_i, new_y_i, new_z_i in zip(annots, new_x, new_y, new_z):
# animating Text in 3D proved to be tricky. Tip of the hat to #ImportanceOfBeingErnest
# for this answer https://stackoverflow.com/a/51579878/1356000
x_, y_, _ = proj3d.proj_transform(new_x_i, new_y_i, new_z_i, my_ax.get_proj())
t.set_position((x_,y_))
return [graph,debug_text]+annots
# create N_points initial points
x,y,z = np.random.normal(size=(3,N_points), loc=0, scale=10)
fig = plt.figure(figsize=(5, 5))
ax = fig.add_subplot(111, projection="3d")
graph = ax.scatter(x, y, z, color='orange')
debug_text = fig.text(0, 1, "TEXT", va='top') # for debugging
annots = [ax.text2D(0,0,"POINT") for _ in range(N_points)]
# Creating the Animation object
ani = animation.FuncAnimation(fig, update, fargs=[ax], frames=100, interval=50, blit=True)
plt.show()

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