Matplotlib pcolor - python

I am using Matplotlib to create an image based on some data. All of the data falls in the range of 0 through to 1 and I am trying to color the data based on its value using a colormap and this works perfectly in Matlab, however when converting the code across to Python I simply get a black square as the output. I believe this is because I'm plotting the image wrong and so it is plotting all the data as 0. I have tried searching this problem for several hours and I have tried plt.set_clim([0, 1]) however that didn't seem to do anything. I am new to Python and Matplotlib, although I am not new to programming (Java, javascript, PHP, etc), but I cannot see where I am going wrong. If any body can see anything glaringly incorrect in my code then I would be extremely grateful.
Thank you
from numpy import *
import matplotlib
import matplotlib.pyplot as plt
import matplotlib.colors as myColor
e1cx=[]
e1cy=[]
e1cz=[]
print("Reading files...")
in_file = open("eigenvector_1_component_x.txt", "rt")
for line in in_file.readlines():
e1cx.append([])
for i in line.split():
e1cx[-1].append(float(i))
in_file.close()
in_file = open("eigenvector_1_component_y.txt", "rt")
for line in in_file.readlines():
e1cy.append([])
for i in line.split():
e1cy[-1].append(float(i))
in_file.close()
in_file = open("eigenvector_1_component_z.txt", "rt")
for line in in_file.readlines():
e1cz.append([])
for i in line.split():
e1cz[-1].append(float(i))
in_file.close()
print("...done")
nx = 120
ny = 128
nz = 190
fx = zeros((nz,nx,ny))
fy = zeros((nz,nx,ny))
fz = zeros((nz,nx,ny))
z = 0
while z<nz-1:
x = 0
while x<nx:
y = 0
while y<ny:
fx[z][x][y]=e1cx[(z*128)+y][x]
fy[z][x][y]=e1cy[(z*128)+y][x]
fz[z][x][y]=e1cz[(z*128)+y][x]
y += 1
x += 1
z+=1
if((z % 10) == 0):
plt.figure(num=None)
plt.axis("off")
normals = myColor.Normalize(vmin=0,vmax=1)
plt.pcolor(fx[z][:][:],cmap='spectral', norm=normals)
filename = 'Imagex_%d' % z
plt.savefig(filename)
plt.colorbar(ticks=[0,2,4,6], format='%0.2f')

Although you have resolved your original issue and have code that works, I wanted to point out that both python and numpy provide several tools that make code like this much simpler to write. Here are a few examples:
Loading data
Instead of building up lists by appending to the end of an empty one, it is often easier to generate them from other lists. For example, instead of
e1cx = []
for line in in_file.readlines():
e1cx.append([])
for i in line.split():
e1cx[-1].append(float(i))
you can simply write:
e1cx = [[float(i) for i in line.split()] for line in in_file]
The syntax [x(y) for y in l] is known as a list comprehension, and, in addition to being more concise will execute more quickly than a for loop.
However, for loading tabular data from a text file, it is even simpler to use numpy.loadtxt:
import numpy as np
e1cx = np.loadtxt("eigenvector_1_component_x.txt")
for more information,
print np.loadtxt.__doc__
See also, its slightly more sophisticated cousin numpy.genfromtxt
Reshaping data
Now that we have our data loaded, we need to reshape it. The while loops you use work fine, but numpy provides an easier way. First, if you prefer to use your method of loading the data, then convert your eigenvector arrays into proper numpy arrays using e1cx = array(e1cx), etc.
The array class provides methods for rearranging how the data in an array is indexed without requiring it to be copied. The simplest method is array.reshape, which will do half of what your while loops do:
almost_fx = e1cx.reshape((nz,ny,nx))
Here, almost_fx is a rank-3 array indexed as almost_fx[iz,iy,ix]. One important thing to be aware of is that e1cx and almost_fx share their data. So, if you change e1cx[0,0], you will also change almost_fx[0,0,0].
In your code, you swapped the x and y locations. If this is indeed what you wanted to do, you can accomplish this with array.swapaxes:
fx = almost_fx.swapaxes(1,2)
Of course, you could always combine this into one line
fx = e1cx.reshape((nz,ny,nx)).swapaxes(1,2)
However, if you want the z-slices (fx[z,:,:]) to plot with x horizontal and y vertical, you probably do not want to swap the axes above. Just reshape and plot.
Slicing arrays
Finally, rather than looping over the z-index and testing for multiples of 10, you can loop directly over a slice of the array using:
for fx_slice in fx[::10]:
# plot fx_slice and save it
This indexing syntax is array[start:end:step] where start is included in the result end is not. Leaving start blank implies 0, while leaving end blank implies the end of the list.
Summary
In summary your complete code (after introducing a few more python idioms like enumerate) could look something like:
import numpy as np
from matplotlib import pyplot as pt
shape = (190,128,120)
fx = np.loadtxt("eigenvectors_1_component_x.txt").reshape(shape).swapaxes(1,2)
for i,fx_slice in enumerate(fx[::10]):
z = i*10
pt.figure()
pt.axis("off")
pt.pcolor(fx_slice, cmap='spectral', vmin=0, vmax=1)
pt.colorbar(ticks=[0,2,4,6], format='%0.2f')
pt.savefig('Imagex_%d' % z)
Alternatively, if you want one pixel per element, you can replace the body of the for loop with
z = i*10
pt.imsave('Imagex_%d' % z, fx_slice, cmap='spectral', vmin=0, vmax=1)

Related

How to Order Coordinates in Matplotlib (xticks and yticks)

Alright, so I was working on a simple program to just pull coordinates out of a text pad and then graph what was in the text pad on a graph. I thought it would be pretty simple, but I am VERY new to matplotlib, so I still don't fully understand. I got most of the code done correctly, but the only thing that is not working is that when I put the values in the graph, they come all out of order. I want to order the xticks and yticks so that it actually looks like a real line graph you'd see in math, so you can see how the lower coordinates lower than the higher coordinates, and vice versa. Here is my code:
import matplotlib
import matplotlib.pyplot as plt
import numpy as np
def split(word):
return list(word)
fileIWant = open('C:/Users/JustA/Desktop/Python Shenanigans/Converting Coordinates in a .txt to a Graph/Coordinates.txt', 'r');
stopwords = ['\n']
array = fileIWant.readlines()
array = [array.replace('\n', '') for array in array if array not in stopwords]
fileIWant.close()
editFile = open('C:/Users/JustA/Desktop/Python Shenanigans/Converting Coordinates in a .txt to a Graph/Coordinates.txt', 'w')
array_length = len(array)
x = []
y = []
for i in range(array_length):
dataSplit = array[i].split()
getCoordinateX = dataSplit[1]
getCoordinateY = dataSplit[3]
x.append(getCoordinateX)
y.append(getCoordinateY)
plt.scatter(x, y)
plt.plot(x, y) #Add this line in if you want to show lines.
plt.title('Your Coordinate Graph')
plt.xlabel('X Coordinates')
plt.ylabel('Y Coordinates')
#plt.xticks([-100,-80,-60,-40,-20,0,20,40,60,80,100])
#plt.yticks([-100,-80,-60,-40,-20,0,20,40,60,80,100])
plt.show()
editFile.close()
I commented out what I put for the ticks, because it was not working at all. With those commented out, it looks okay, but it is very confusing. I think it just puts them in the order they are at in the .txt, when I want them to order themselves in the code. Here is what it is outputting right now:
Sorry if this is so simple that it has never been asked before, like I said, very new to matplotlib, and numpy if I have to use that at all. I imported it because I thought I may have to, but I don't think I really used it as of yet. Also, I am going to rewrite the coordinates into the graph in order, but I think I can do that myself later.
The problem is that your coordinates are strings, which means matplotlib is just plotting strings against strings ("categorical" axis labels). To fix, you simply have to convert your strings to numbers, e.g. x.append(int(getCoordinateX)).
Note that you also don't have to put plt.scatter/plt.plot in the loop - you only have to call one of those once on the full array. That'll probably make things a little faster too.

Get matrix image of numpy array values - Grid with pixel values inside (not colors)

I searched online and couldn't find anything about this that does what I want.
I would like to save a numpy array as an image but instead of having a colorful image, I want a black and white representation of the pixel values in their corresponding grid location.
For example:
import numpy as np
x = np.array([[1,2],[3,4]])
print(x)
# [[1 2]
# [3 4]]
I would like to save this as an image (.PNG) that looks like the following:
My current code creates a grid and places the numbers inside but it is very difficult to adjust everything to make it presentable in a research paper.
So rather than posting my overly complex code, I was wondering if there is a built in function to handle this in a few lines of code.
I would use LaTeX to generate the tables, since they look fancy and you can either generate an image or directly put them in your document. I used the following code to achieve this:
#!/usr/bin/env
import numpy as np
import os
x = np.array([[1,2],[3,4]])
def generateLatexTable(x):
start = [r'\documentclass[preview]{standalone}', r'\begin{document}', r'\begin{tabular}{%s}' % ('{1}{0}{1}'.format('|'.join(['r'] * x.shape[1]), '|')), r'\hline']
tab = [' & '.join(['%d' % val for val in row]) + r' \\ \hline' for row in x]
end = [r'\end{tabular}', r'\end{document}']
text = '\n'.join(start + tab + end)
return text
with open('table.tex', 'w') as f:
f.write(generateLatexTable(x))
os.system("pdflatex table.tex")
Here, the document class preview is used which returns an image resized to the content of the document, i.e. just the table. Only a tabular environment is used to present the data. There are horizontal and vertical bars between the cells, but it is very easy to change this. In the variable tab the data is processed for each row and converted into a string. Note that you have to specify the output format at this position. I set it to %d so everything is converted to integers.
If you want to use the table directly in a latex source, you have to remove documentclass and \begin{document} as well as \end{document} in the variables of start and end. Finally, everything is put together in a latex-source which is then stored to disk as table.tex. If you just want the image in the end, the resulting file is compiled to table.pdf.
Here is what the output looks like. But like I said, it is very easy to change the looks since it is LaTeX :)
Here is another example with a large matrix (14 x 14), filled with random numbers ranging from 0 to 100:
You can use the table function of matplot to plot the simple table. Furthermore, you can save the plot as PNG.
Below is the simple code for your requirements:
import numpy as np
import matplotlib.pyplot as plt
x = np.array([[1,2],[3,4]])
plt.figure()
plt.table(cellText=x,cellLoc='center',loc='center')
plt.axis('off')
plt.savefig('table.png')
Size of the plot or image can be adjusted by changing figsize parameters in the line : plt.figure(figsize=(x,y))
For better appearance, it can be modified as below:
import numpy as np
import matplotlib.pyplot as plt
x = np.array([[1,2],[3,4]])
fig = plt.figure(figsize=(2,2))
plt.axis('off')
plt.axis('tight')
plt.table(cellText=x,cellLoc='center',loc='center')
#plt.subplots_adjust(hspace=0.5)
fig.tight_layout()
plt.savefig('table.png')
May be this will help:
from matplotlib import pyplot as plt
import numpy as np
w = 10
h = 10
img = np.random.randint(255, size=(w, h))
plt.figure(figsize=(5,8))
plt.imshow(img, interpolation='nearest')
plt.axis('off')
cellTextimg = []
for j in range(0,h):
cellTextimg.append(img[j,:])
the_table = plt.table(cellText= cellTextimg, loc='bottom')

lmfit matplot - fitting many curves from many different files at the same time/graph

I have the following code, with which I intend to read and plot many curves from many different files. The "reading and plotting" is already working pretty good.
The problem is that now I want to make a fitting for all those curves in the same plot. This code already manages to fit the curves, but the output is all in one array and I can not plot it, since I could not separate it.
#!/usr/bin/python
import matplotlib.pyplot as plt
from numpy import exp
from lmfit import Model
def read_files(arquivo):
x = []
y = []
abscurrent = []
time = []
data = open(arquivo, 'r')
headers = data.readlines()[60:]
for line in headers:
line = line.strip()
X, Y, ABS, T = line.split('\t')
x.append(X)
y.append(Y)
abscurrent.append(ABS)
time.append(T)
data.close()
def J(x, j, n):
return j*((exp((1.6e-19*x)/(n*1.38e-23*333)))-1)
gmod = Model(J)
result = gmod.fit(abscurrent, x=x, j=10e-10, n=1)
return x, y, abscurrent, time
print(result.fit_report())
When I ask to print the "file" result.best_fit, which in the lmfit would give the best fit for that curve, I get 12 times this result (I have 12 curves) , with different values:
- Adding parameter "j"
- Adding parameter "n"
[ 4.30626925e-17 3.25367918e-14 9.60736218e-14 2.20310475e-13
4.63245638e-13 9.38169958e-13 1.86480698e-12 3.67881758e-12
7.22634738e-12 1.41635088e-11 2.77290634e-11 5.42490983e-11
1.06108942e-10 2.07520542e-10 4.05768903e-10 7.93323537e-10
1.55126521e-09 3.03311029e-09 5.93085363e-09 1.16032067e-08
2.26884736e-08 4.43641560e-08 8.67362753e-08 1.69617697e-07
3.31685858e-07 6.48478168e-07]
- Adding parameter "j"
- Adding parameter "n"
[ 1.43571772e-16 1.00037588e-13 2.92349492e-13 6.62623404e-13
This means that the code is calculating the fit correctly, I just have to separate this output somehow in order to plot each of them with the their curve. Each set of values between [] is what I want to separate in a way I can plot it.
I do not see how the code you posted could possibly produce your output. I do not see a print() function that prints out the array of 26 values, but would imagine that could be the length of your lists x, y and abscurrent -- it is not the output of your print(result.fit_report()), and I do not see that result.
I do not see anything to suggest you have 12 independent curves.
Also, result.best_fit is not a file, it is an array.

Plotting trajectories in python using matplotlib

I'm having some trouble using matplotlib to plot the path of something.
Here's a basic version of the type of thing I'm doing.
Essentially, I'm seeing if the value breaks a certain threshold (6 in this case) at any point during the path and then doing something with it later on.
Now, I have 3 lists set-up. The end_vector will be based on the other two lists. If the value breaks past 2 any time during a single simulation, I will add the last position of the object to my end_vector
trajectories_vect is something I want to keep track of my trajectories for all 5 simulations, by keeping a list of lists. I'll clarify this below. And, timestep_vect stores the path for a single simulation.
from random import gauss
from matplotlib import pyplot as plt
import numpy as np
starting_val = 5
T = 1 #1 year
delta_t = .1 #time-step
N = int(T/delta_t) #how many points on the path looked at
trials = 5 #number of simulations
#main iterative loop
end_vect = []
trajectories_vect = []
for k in xrange(trials):
s_j = starting_val
timestep_vect = []
for j in xrange(N-1):
xi = gauss(0,1.0)
s_j *= xi
timestep_vect.append(s_j)
trajectories_vect.append(timestep_vect)
if max(timestep_vect) > 5:
end_vect.append(timestep_vect[-1])
else:
end_vect.append(0)
Okay, at this part if I print my trajectories, I get something like this (I only posted two simulations, instead of the full 5):
[[ -3.61689976e+00 2.85839230e+00 -1.59673115e+00 6.22743522e-01
1.95127718e-02 -1.72827152e-02 1.79295788e-02 4.26807446e-02
-4.06175288e-02] [ 4.29119818e-01 4.50321728e-01 -7.62901016e-01
-8.31124346e-02 -6.40330554e-03 1.28172906e-02 -1.91664737e-02
-8.29173982e-03 4.03917926e-03]]
This is good and what I want to happen.
Now, my problem is that I don't know how to plot my path (y-axis) against my time (x-axis) properly.
First, I want to put my data into numpy arrays because I'll need to use them later on to compute some statistics and other things which from experience numpy makes very easy.
#creating numpy arrays from list
#might need to use this with matplotlib somehow
np_trajectories = np.array(trajectories_vect)
time_array = np.arange(1,10)
Here's the crux of the issue though. When i'm putting my trajectories (y-axis) into matplotlib, it's not treating each "list" (row in numpy) as one path. Instead of getting 5 paths for 5 simulations, I am getting 9 paths for 5 simulations. I believe I am inputing stuff wrong hence it is using the 9 time intervals in the wrong way.
#matplotlib stuff
plt.plot(np_trajectories)
plt.xlabel('timestep')
plt.ylabel('trajectories')
plt.show()
Here's the image produced:
Obviously, this is wrong for the aforementioned reason. Instead, I want to have 5 paths based on the 5 lists (rows) in my trajectories. I seem to understand what the problem is but don't know how to go about fixing it.
Thanks in advance for the help.
When you call np_trajectories = np.array(trajectories_vect), your list of trajectories is transformed into a 2d numpy array. The information about its dimensions is stored in np_trajectories.shape, and, in your case, is (5, 9). Therefore, when you pass np_trajectories to plt.plot(), the plotting library assumes that the y-values are stored in the first dimension, while the second dimension describes individual lines to plot.
In your case, all you need to do is to transpose your np_trajectories array. In numpy, it is as simple as
plt.plot(np_trajectories.T)
plt.xlabel('timestep')
plt.ylabel('trajectories')
plt.show()
If you want to plot the x-axis as time, instead of steps of one, you have to define your time progression as a list or an array. In numpy, you can do something like
times = np.linspace(0, T, N-1)
plt.plot(times, np_trajectories.T)
plt.xlabel('timestep')
plt.ylabel('trajectories')
plt.show()
which produces the following figure:

Graph Reset Query

To whomever,
I am having a graphing problem where it seems that previous data is being stacked on top of new data. I wanted to find a way to separate these so that I can get individual graphs per data set.
Briefly before we get into the script let me tell you what you're looking at. I have 8 data sets each one named somethingsomethingsomething...n=0,1,...,7. So there 8 different files with different sets of values for the wavelength (here I named it WL) and stokes parameters (here I named them SI SQ SU SV). I was told to make some graphs of them so here we are.
The following is what I have:
the base
import matplotlib.pyplot as plt
import numpy as np
import scipy.constants as c
from scipy.interpolate import spline
import re
something to tell the program to not worry about random spaces in data set files
split_on_spaces = re.compile(" +").split
defining the arrays
WL = np.array([])
SI = np.array([])
SQ = np.array([])
SU = np.array([])
SV = np.array([])
code for data interpretation
with open('C:\\Users\\Schmidt\\Desktop\\Python\\Homework_4\\CoolStuffLivesHere\\stokes_profiles_1.txt') as f:
for line in f:
data=split_on_spaces(line.strip())
if len(data) == 0:
continue
if len(data) != 5:
sys.stderr.write("BAD LINE: {}".format(repr(line)))
continue
WL = np.append(WL, float(data[0]))
SI = np.append(SI, data[1])
SQ = np.append(SQ, data[2])
SU = np.append(SU, data[3])
SV = np.append(SV, data[4])
plotting sequence
plt.plot(WL,SI)
plt.show()
Then rinse and repeat for the other 3 parameters and then rinse and repeat for the other data sets as well. It works real fine for the first rendering. However for subsequent graphs it looks more like these: first example, second example.
So in a nut shell what line of code should I be typing in where to resolve my graph stacking issue?
Without getting into subplots, you're just adding to the original plot. You need to close it if you want to re-use it.
i.e.
plt.plot(WL,SI)
plt.show()
plt.close()
plt.plot(WL,SQ)
Unless you want them on the same plot.

Categories