How to make transition in Numpy, python - python

I am new to python and I need some help in getting this task done.
How can I implement following matrix in python, using numPy?
9 x 5 matrix F where each column of F is [1.....9]^T .

import numpy as np
matrix = np.array([[i]*5 for i in range(1, 10)])
This basically creates a matrix whose first row is filled with 1s, second row with 2s, etc.

Your 1d array:
In [25]: np.arange(1,10)
Out[25]: array([1, 2, 3, 4, 5, 6, 7, 8, 9])
Make a 2d column vector:
In [26]: np.arange(1,10)[:,None]
Out[26]:
array([[1],
[2],
[3],
[4],
[5],
[6],
[7],
[8],
[9]])
Use repeat method to replicate the columns:
In [27]: np.arange(1,10)[:,None].repeat(5,1)
Out[27]:
array([[1, 1, 1, 1, 1],
[2, 2, 2, 2, 2],
[3, 3, 3, 3, 3],
[4, 4, 4, 4, 4],
[5, 5, 5, 5, 5],
[6, 6, 6, 6, 6],
[7, 7, 7, 7, 7],
[8, 8, 8, 8, 8],
[9, 9, 9, 9, 9]])

Related

Numpy 2D to 3D array based on data in a column

Let's say I have data structured in a 2D array like this:
[[1, 3, 4, 6],
[1, 4, 8, 2],
[1, 3, 2, 9],
[2, 2, 4, 8],
[2, 4, 9, 1],
[2, 2, 9, 3]]
The first column denotes a third dimension, so I want to convert this to the following 3D array:
[[[3, 4, 6],
[4, 8, 2],
[3, 2, 9]],
[[2, 4, 8],
[4, 9, 1],
[2, 9, 3]]]
Is there a built-in numpy function to do this?
You can try code below:
import numpy as np
array = np.array([[1, 3, 4, 6],
[1, 4, 8, 2],
[1, 3, 2, 9],
[2, 2, 4, 8],
[2, 4, 9, 1],
[2, 2, 9, 3]])
array = np.delete(array, 0, 1)
array.reshape(2,3,-1)
Output
array([[[3, 4, 6],
[4, 8, 2],
[3, 2, 9]],
[[2, 4, 8],
[4, 9, 1],
[2, 9, 3]]])
However, this code can be used when you are aware of the array's shape. But if you are sure that the number of columns in the array is a multiple of 3, you can simply use code below to show the array in the desired format.
array.reshape(array.shape[0]//3,3,-3)
Use numpy array slicing with reshape function.
import numpy as np
arr = [[1, 3, 4, 6],
[1, 4, 8, 2],
[1, 3, 2, 9],
[2, 2, 4, 8],
[2, 4, 9, 1],
[2, 2, 9, 3]]
# convert the list to numpy array
arr = np.array(arr)
# remove first column from numpy array
arr = arr[:,1:]
# reshape the remaining array to desired shape
arr = arr.reshape(len(arr)//3,3,-1)
print(arr)
Output:
[[[3 4 6]
[4 8 2]
[3 2 9]]
[[2 4 8]
[4 9 1]
[2 9 3]]]
You list a non numpy array. I am unsure if you are just suggesting numpy as a means to get a non numpy result, or you are actually looking for a numpy array as result. If you don't actually need numpy, you could do something like this:
arr = [[1, 3, 4, 6],
[1, 4, 8, 2],
[1, 3, 2, 9],
[2, 2, 4, 8],
[2, 4, 9, 1],
[2, 2, 9, 3]]
# Length of the 3rd and 2nd dimension.
nz = arr[-1][0] + (arr[0][0]==0)
ny = int(len(arr)/nz)
res = [[arr[ny*z_idx+y_idx][1:] for y_idx in range(ny)] for z_idx in range(nz)]
OUTPUT:
[[[3, 4, 6], [4, 8, 2], [3, 2, 9]], [[2, 4, 8], [4, 9, 1], [2, 9, 3]]]
Note that the calculation of nz takes into account that the 3rd dimension index in your array is either 0-based (as python is per default) or 1-based (as you show in your example).

Remove subarray from a 2d array based on their existence in another 2d array (return a new 2d array)

I have two 2d array, A and B, like the following.
A=array([[1, 1, 1],
[2, 2, 2],
[3, 3, 3],
[4, 4, 4],
[5, 5, 5],
[6, 6, 6],
[7, 7, 7],
[8, 8, 8],
[9, 9, 9]])
B=array([[1, 1, 1],
[3, 3, 3],
[8, 8, 8]])
I want to remove subarrays of A if they exist in B. Then return a new 2d array C like the following:
C=array([[2, 2, 2],
[4, 4, 4],
[5, 5, 5],
[6, 6, 6],
[7, 7, 7],
[9, 9, 9]])
Currently I have tried the np.isin function but the result is no longer a 2d array.
mask = np.isin(A, B, invert=True)
A[mask]
>>array([2, 2, 2, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9])
You need to aggregate the booleans on axis 1:
C = A[~np.isin(A,B).all(1)]
output:
array([[2, 2, 2],
[4, 4, 4],
[5, 5, 5],
[6, 6, 6],
[7, 7, 7],
[9, 9, 9]])
Or in1d:
C = A[~np.in1d(A, B).all(axis=1)]
And now:
print(C)
Output:
[[2 2 2]
[4 4 4]
[5 5 5]
[6 6 6]
[7 7 7]
[9 9 9]]

Repeat a unidimensional array over columns

Quite straightforward question, I have the following array:
x = np.array([1, 2, 3, 4, 5, 6, 7, 8])
I want to repeat this array over columns, having something like this:
array([[1, 1, 1],
[2, 2, 2],
[3, 3, 3],
[4, 4, 4],
[5, 5, 5],
[6, 6, 6],
[7, 7, 7],
[8, 8, 8]])
So, in order to do so I have been trying:
repeat_x = np.repeat(x, 3, axis = 1)
However, I get the following error:
AxisError: axis 1 is out of bounds for array of dimension 1
So, is there a way/trick to achieve my goal without having to use any sort of reshape?
Try this code:
np.array([x] * 3).T
Here 3 is the number of times you want to repeat those values
To do it purely in numpy without resorting back to python lists you need to use expand_dims followed by a transpose or use reshape to convert the vector into a matrix before using repeat.
x = np.array([1, 2, 3, 4, 5, 6, 7, 8])
# array([1, 2, 3, 4, 5, 6, 7, 8])
x = x.reshape(-1, 1)
# array([[1],
# [2],
# [3],
# [4],
# [5],
# [6],
# [7],
# [8]])
np.repeat(x.reshape(-1, 1), 3, 1)
# array([[1, 1, 1],
# [2, 2, 2],
# [3, 3, 3],
# [4, 4, 4],
# [5, 5, 5],
# [6, 6, 6],
# [7, 7, 7],
# [8, 8, 8]])
Using expand dims and a transpose will be like
np.repeat(np.expand_dims(x, 0).T, 3, 1)
Same result.

Delete items in subarrays of a master array

let's say I have the following 3x4 array
master_array = [[1, 3, 4, 5],
[6, 5, 4, 1],
[7, 8, 4, 1]]
Then, I want to delete number 4 from each of the 3 1x4 subarrays. Would I use the following?
for i in range(master_array.shape[0]):
np.delete(master_array[i], 3)
Then, when I print the master_array, would I get?
[[1, 3, 5],
[6, 5, 1],
[7, 8, 1]]
In case master_array is a list of lists, like in your example, you could do
master_array = [[1, 3, 4, 5],
[6, 5, 4, 1],
[7, 8, 4, 1]]
for row in master_array:
del row[2]
In case master_array is indeed a numpy array, you would simply do
master_array = np.array([[1, 3, 4, 5],
[6, 5, 4, 1],
[7, 8, 4, 1]])
np.delete(master_array, 2, axis=1)

Resizing and stretching a NumPy array

I am working in Python and I have a NumPy array like this:
[1,5,9]
[2,7,3]
[8,4,6]
How do I stretch it to something like the following?
[1,1,5,5,9,9]
[1,1,5,5,9,9]
[2,2,7,7,3,3]
[2,2,7,7,3,3]
[8,8,4,4,6,6]
[8,8,4,4,6,6]
These are just some example arrays, I will actually be resizing several sizes of arrays, not just these.
I'm new at this, and I just can't seem to wrap my head around what I need to do.
#KennyTM's answer is very slick, and really works for your case but as an alternative that might offer a bit more flexibility for expanding arrays try np.repeat:
>>> a = np.array([[1, 5, 9],
[2, 7, 3],
[8, 4, 6]])
>>> np.repeat(a,2, axis=1)
array([[1, 1, 5, 5, 9, 9],
[2, 2, 7, 7, 3, 3],
[8, 8, 4, 4, 6, 6]])
So, this accomplishes repeating along one axis, to get it along multiple axes (as you might want), simply nest the np.repeat calls:
>>> np.repeat(np.repeat(a,2, axis=0), 2, axis=1)
array([[1, 1, 5, 5, 9, 9],
[1, 1, 5, 5, 9, 9],
[2, 2, 7, 7, 3, 3],
[2, 2, 7, 7, 3, 3],
[8, 8, 4, 4, 6, 6],
[8, 8, 4, 4, 6, 6]])
You can also vary the number of repeats for any initial row or column. For example, if you wanted two repeats of each row aside from the last row:
>>> np.repeat(a, [2,2,1], axis=0)
array([[1, 5, 9],
[1, 5, 9],
[2, 7, 3],
[2, 7, 3],
[8, 4, 6]])
Here when the second argument is a list it specifies a row-wise (rows in this case because axis=0) repeats for each row.
>>> a = numpy.array([[1,5,9],[2,7,3],[8,4,6]])
>>> numpy.kron(a, [[1,1],[1,1]])
array([[1, 1, 5, 5, 9, 9],
[1, 1, 5, 5, 9, 9],
[2, 2, 7, 7, 3, 3],
[2, 2, 7, 7, 3, 3],
[8, 8, 4, 4, 6, 6],
[8, 8, 4, 4, 6, 6]])
Unfortunately numpy does not allow fractional steps (as far as I am aware). Here is a workaround. It's not as clever as Kenny's solution, but it makes use of traditional indexing:
>>> a = numpy.array([[1,5,9],[2,7,3],[8,4,6]])
>>> step = .5
>>> xstop, ystop = a.shape
>>> x = numpy.arange(0,xstop,step).astype(int)
>>> y = numpy.arange(0,ystop,step).astype(int)
>>> mg = numpy.meshgrid(x,y)
>>> b = a[mg].T
>>> b
array([[1, 1, 5, 5, 9, 9],
[1, 1, 5, 5, 9, 9],
[2, 2, 7, 7, 3, 3],
[2, 2, 7, 7, 3, 3],
[8, 8, 4, 4, 6, 6],
[8, 8, 4, 4, 6, 6]])
(dtlussier's solution is better)

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