learning python multipe plots on the same set of axis - python

How would I setup this plot up in Python?
Here is what I do in Mathematica:
mykvalue = Table[k, {k, 0, 10, 1}];
u[r_, k_] = 1/(2*r^2) + k/(2*r^2);
Plot[u[r, mykvalue], {r, 0, 5}, PlotStyle -> {Red},
PlotRange -> {{0, 5}, {0, 2}}]

in my opinion one of the simplest way to do it would be to use a multidimensional list to store the values and than plot using matplotlib. this is what i mean
from math import *
import numpy as np
import matplotlib.pyplot as plt
k = range(11)
yvals = [[] for i in range(len(k))] #there should be a more pythonic way to
x = np.arange(0.4,5,0.1) #create nested lists i think, ALM I added np.
for i in k:
for j in x:
i = float(i) #this conversion from int to float was to debug,
j = float(j) #it should be made better
y=1/(2*j**2) + i/(2*j**2)
i = int(i)
yvals[i].append(y)
for i in k:
plt.plot(x,yvals[i])
plt.show()
that should work i guess. you can fiddle around with matplotlib to fix the axes and get labels and stuff.

From the Matplotlib gallery - and they show the source code.
This is close:
http://matplotlib.org/examples/pylab_examples/errorbar_limits.html
http://matplotlib.org/examples/pylab_examples/step_demo.html
http://matplotlib.org/gallery.html
HTH

Related

Number format python

I want to have the legend of the plot shown with the value in a list. But what I get is the element index but not the value itself. I dont know how to fix it. I'm referring to the plt.plot line. Thanks for the help.
import matplotlib.pyplot as plt
import numpy as np
x = np.random.random(1000)
y = np.random.random(1000)
n = len(x)
d_ij = []
for i in range(n):
for j in range(i+1,n):
a = np.sqrt((x[i]-x[j])**2+(y[i]-y[j])**2)
d_ij.append(a)
epsilon = np.linspace(0.01,1,num=10)
sigma = np.linspace(0.01,1,num=10)
def lj_pot(epsi,sig,d):
result = []
for i in range(len(d)):
a = 4*epsi*((sig/d[i])**12-(sig/d[i])**6)
result.append(a)
return result
for i in range(len(epsilon)):
for j in range(len(sigma)):
a = epsilon[i]
b = sigma[j]
plt.cla()
plt.ylim([-1.5, 1.5])
plt.xlim([0, 2])
plt.plot(sorted(d_ij),lj_pot(epsilon[i],sigma[j],sorted(d_ij)),label = 'epsilon = %d, sigma =%d' %(a,b))
plt.legend()
plt.savefig("epsilon_%d_sigma_%d.png" % (i,j))
plt.show()
Your code is a bit unpythonic, so I tried to clean it up to the best of my knowledge. numpy.random.random and numpy.random.uniform(0, 1) are basically the same, however, the latter also allows you to pass the shape of the return array that you would like to have, in this case an array with 1000 rows and two columns (1000, 2). I then use some magic to assign the two colums of the return array to x and y in the same line, respectively.
numpy.hypot does as the name suggests and calculates the hypothenuse of x and y. It can also do that for each entry of arrays with the same size, saving you the for loops, which you should try to aviod in Python since they are pretty slow.
You used plt for all your plotting, which is fine as long as you only have one figure, but I would recommend to be as explicit as possible, according to one of Python's key notions:
explicit is better than implicit.
I recommend you read through this guide, in particular the section called 'Stateful Versus Stateless Approaches'. I changed your commands accordingly.
It is also very unpythonic to loop over items of a list using the index of the item in the list like you did (for i in range(len(list)): item = list[i]). You can just reference the item directly (for item in list:).
Lastly I changed your formatted strings to the more convenient f-strings. Have a read here.
import matplotlib.pyplot as plt
import numpy as np
def pot(epsi, sig, d):
result = 4*epsi*((sig/d)**12 - (sig/d)**6)
return result
# I am not sure why you would create the independent variable this way,
# maybe you are simulating something. In that case, the code below is
# simpler than your version and should achieve the same.
# x, y = zip(*np.random.uniform(0, 1, (1000, 2)))
# d = np.array(sorted(np.hypot(x, y)))
# If you only want to plot your pot function then creating the value range
# like this is just fine.
d = np.linspace(0.001, 1, 1000)
epsilons = sigmas = np.linspace(0.01, 1, num=10)
fig, ax = plt.subplots()
ax.set_xlim([0, 2])
ax.set_ylim([-1.5, 1.5])
line = None
for epsilon in epsilons:
for sigma in sigmas:
if line is None:
line = ax.plot(
d, pot(epsilon, sigma, d),
label=f'epsilon = {epsilon}, sigma = {sigma}'
)[0]
fig.legend()
else:
line.set_data(d, pot(epsilon, sigma, d))
# plt.savefig(f"epsilon_{epsilon}_sigma_{sigma}.png")
fig.show()

Python plot only part of data

I want to plot any part or the data
here is the code
import matplotlib.pyplot as plt
import matplotlib.animation as animation
from matplotlib import style
... ...
xs = []
avg = []
for line in lines:
if len(line) > 1:
x, y1 = line.split(',')
xs.append(float(x))
avg.append(float(y1))
ax1.plot(xs, avg, label='avg')
I added some of the code so you can see the type of the variables
I tried :
ax1.plot(xs[avg>0], avg[avg>0], label='avg')
and didnt work
im matlab i would do some thing like :
Indxs=find (ys>0)
Plot(xs(indxs),ys(indxs))
The syntax is correct. The problem is that xs and avg are no numpy arrays. So you first need to convert those lists to numpy arrays, then the slicing will work as expected.
xs = np.array(xs)
avg = np.array(avg)
ax1.plot(xs[avg>0], avg[avg>0], label='avg')
What you doesen't work since your index (avg > 0) in python is a boolean. When you are used to Matlab then you should definitely try numpy Boolean indexing.
you can do:
import numpy as np
xs = numpy.asarray(x)
ys = numpy.asarray(y)
ys_filtered = ys[x > 0]

Use savefig in Python with string and iterative index in the name

I need to use the "savefig" in Python to save the plot of each iteration of a while loop, and I want that the name i give to the figure contains a literal part and a numerical part. This one comes out from an array or is the number associated to the index of iteration. I make a simple example:
# index.py
from numpy import *
from pylab import *
from matplotlib import *
from matplotlib.pyplot import *
import os
x=arange(0.12,60,0.12).reshape(100,5)
y=sin(x)
i=0
while i<99
figure()
a=x[:,i]
b=y[:,i]
c=a[0]
plot(x,y,label='%s%d'%('x=',c))
savefig(#???#) #I want the name is: x='a[0]'.png
#where 'a[0]' is the value of a[0]
thanks a lot.
Well, it should be simply this:
savefig(str(a[0]))
This is a toy example. Works for me.
import pylab as pl
import numpy as np
# some data
x = np.arange(10)
pl.figure()
pl.plot(x)
pl.savefig('x=' + str(10) + '.png')
I had the same demand recently and figured out the solution. I modify the given code and correct several explicit errors.
from pylab import *
import matplotlib.pyplot as plt
x = arange(0.12, 60, 0.12).reshape(100, 5)
y = sin(x)
i = 0
while i < 99:
figure()
a = x[i, :] # change each row instead of column
b = y[i, :]
i += 1 # make sure to exit the while loop
flag = 'x=%s' % str(a[0]) # use the first element of list a as the name
plot(a, b, label=flag)
plt.savefig("%s.png" % flag)
Hope it helps.
Since python 3.6 you can use f-strings to format strings dynamically:
import matplotlib.pyplot as plt
for i in range(99):
plt.figure()
a = x[:, i]
b = y[:, i]
c = a[0]
plt.plot(a, b, label=f'x={c}')
plt.savefig(f'x={c}.png')

Plot really big file in python (5GB) with x axis offset

I am trying to plot a very big file (~5 GB) using python and matplotlib. I am able to load the whole file in memory (the total available in the machine is 16 GB) but when I plot it using simple imshow I get a segmentation fault. This is most probable to the ulimit which I have set to 15000 but I cannot set higher. I have come to the conclusion that I need to plot my array in batches and therefore made a simple code to do that. My main isue is that when I plot a batch of the big array the x coordinates start always from 0 and there is no way I can overlay the images to create a final big one. If you have any suggestion please let me know. Also I am not able to install new packages like "Image" on this machine due to administrative rights. Here is a sample of the code that reads the first 12 lines of my array and make 3 plots.
import os
import sys
import scipy
import numpy as np
import pylab as pl
import matplotlib as mpl
import matplotlib.cm as cm
from optparse import OptionParser
from scipy import fftpack
from scipy.fftpack import *
from cmath import *
from pylab import *
import pp
import fileinput
import matplotlib.pylab as plt
import pickle
def readalllines(file1,rows,freqs):
file = open(file1,'r')
sizer = int(rows*freqs)
i = 0
q = np.zeros(sizer,'float')
for i in range(rows*freqs):
s =file.readline()
s = s.split()
#print s[4],q[i]
q[i] = float(s[4])
if i%262144 == 0:
print '\r ',int(i*100.0/(337*262144)),' percent complete',
i += 1
file.close()
return q
parser = OptionParser()
parser.add_option('-f',dest="filename",help="Read dynamic spectrum from FILE",metavar="FILE")
parser.add_option('-t',dest="dtime",help="The time integration used in seconds, default 10",default=10)
parser.add_option('-n',dest="dfreq",help="The bandwidth of each frequency channel in Hz",default=11.92092896)
parser.add_option('-w',dest="reduce",help="The chuncker divider in frequency channels, integer default 16",default=16)
(opts,args) = parser.parse_args()
rows=12
freqs = 262144
file1 = opts.filename
s = readalllines(file1,rows,freqs)
s = np.reshape(s,(rows,freqs))
s = s.T
print s.shape
#raw_input()
#s_shift = scipy.fftpack.fftshift(s)
#fig = plt.figure()
#fig.patch.set_alpha(0.0)
#axes = plt.axes()
#axes.patch.set_alpha(0.0)
###plt.ylim(0,8)
plt.ion()
i = 0
for o in range(0,rows,4):
fig = plt.figure()
#plt.clf()
plt.imshow(s[:,o:o+4],interpolation='nearest',aspect='auto', cmap=cm.gray_r, origin='lower')
if o == 0:
axis([0,rows,0,freqs])
fdf, fdff = xticks()
print fdf
xticks(fdf+o)
print xticks()
#axis([o,o+4,0,freqs])
plt.draw()
#w, h = fig.canvas.get_width_height()
#buf = np.fromstring(fig.canvas.tostring_argb(), dtype=np.uint8)
#buf.shape = (w,h,4)
#buf = np.rol(buf, 3, axis=2)
#w,h,_ = buf.shape
#img = Image.fromstring("RGBA", (w,h),buf.tostring())
#if prev:
# prev.paste(img)
# del prev
#prev = img
i += 1
pl.colorbar()
pl.show()
If you plot any array with more than ~2k pixels across something in your graphics chain will down sample the image in some way to display it on your monitor. I would recommend down sampling in a controlled way, something like
data = convert_raw_data_to_fft(args) # make sure data is row major
def ds_decimate(row,step = 100):
return row[::step]
def ds_sum(row,step):
return np.sum(row[:step*(len(row)//step)].reshape(-1,step),1)
# as per suggestion from tom10 in comments
def ds_max(row,step):
return np.max(row[:step*(len(row)//step)].reshape(-1,step),1)
data_plotable = [ds_sum(d) for d in data] # plug in which ever function you want
or interpolation.
Matplotlib is pretty memory-inefficient when plotting images. It creates several full-resolution intermediate arrays, which is probably why your program is crashing.
One solution is to downsample the image before feeding it into matplotlib, as #tcaswell suggests.
I also wrote some wrapper code to do this downsampling automatically, based on your screen resolution. It's at https://github.com/ChrisBeaumont/mpl-modest-image, if it's useful. It also has the advantage that the image is resampled on the fly, so you can still pan and zoom without sacrificing resolution where you need it.
I think you're just missing the extent=(left, right, bottom, top) keyword argument in plt.imshow.
x = np.random.randn(2, 10)
y = np.ones((4, 10))
x[0] = 0 # To make it clear which side is up, etc
y[0] = -1
plt.imshow(x, extent=(0, 10, 0, 2))
plt.imshow(y, extent=(0, 10, 2, 6))
# This is necessary, else the plot gets scaled and only shows the last array
plt.ylim(0, 6)
plt.colorbar()
plt.show()

How do I plot a step function with Matplotlib in Python?

This should be easy but I have just started toying with matplotlib and python. I can do a line or a scatter plot but i am not sure how to do a simple step function. Any help is much appreciated.
x = 1,2,3,4
y = 0.002871972681775004, 0.00514787917410944, 0.00863476098280219, 0.012003316194034325
It seems like you want step.
E.g.
import matplotlib.pyplot as plt
x = [1,2,3,4]
y = [0.002871972681775004, 0.00514787917410944,
0.00863476098280219, 0.012003316194034325]
plt.step(x, y)
plt.show()
If you have non-uniformly spaced data points, you can use the drawstyle keyword argument for plot:
x = [1,2.5,3.5,4]
y = [0.002871972681775004, 0.00514787917410944,
0.00863476098280219, 0.012003316194034325]
plt.plot(x, y, drawstyle='steps-pre')
Also available are steps-mid and steps-post.
New in matplotlib 3.4.0
There is a new plt.stairs method to complement plt.step:
plt.stairs and the underlying StepPatch provide a cleaner interface for plotting stepwise constant functions for the common case that you know the step edges.
This supersedes many use cases of plt.step, for instance when plotting the output of np.histogram.
Check out the official matplotlib gallery for how to use plt.stairs and StepPatch.
When to use plt.step vs plt.stairs
Use the original plt.step if you have reference points. Here the steps are anchored at [1,2,3,4] and extended to the left:
plt.step(x=[1,2,3,4], y=[20,40,60,30])
Use the new plt.stairs if you have edges. The previous [1,2,3,4] step points correspond to [1,1,2,3,4] stair edges:
plt.stairs(values=[20,40,60,30], edges=[1,1,2,3,4])
Using plt.stairs with np.histogram
Since np.histogram returns edges, it works directly with plt.stairs:
data = np.random.normal(5, 3, 3000)
bins = np.linspace(0, 10, 20)
hist, edges = np.histogram(data, bins)
plt.stairs(hist, edges)
I think you want pylab.bar(x,y,width=1) or equally pyplot's bar method. if not checkout the gallery for the many styles of plots you can do. Each image comes with example code showing you how to make it using matplotlib.
Draw two lines, one at y=0, and one at y=1, cutting off at whatever x your step function is for.
e.g. if you want to step from 0 to 1 at x=2.3 and plot from x=0 to x=5:
import matplotlib.pyplot as plt
# _
# if you want the vertical line _|
plt.plot([0,2.3,2.3,5],[0,0,1,1])
#
# OR:
# _
# if you don't want the vertical line _
#plt.plot([0,2.3],[0,0],[2.3,5],[1,1])
# now change the y axis so we can actually see the line
plt.ylim(-0.1,1.1)
plt.show()
In case someone just wants to stepify some data rather than actually plot it:
def get_x_y_steps(x, y, where="post"):
if where == "post":
x_step = [x[0]] + [_x for tup in zip(x, x)[1:] for _x in tup]
y_step = [_y for tup in zip(y, y)[:-1] for _y in tup] + [y[-1]]
elif where == "pre":
x_step = [_x for tup in zip(x, x)[:-1] for _x in tup] + [x[-1]]
y_step = [y[0]] + [_y for tup in zip(y, y)[1:] for _y in tup]
return x_step, y_step

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