# Is there a numpy function for finding the range between two vectors in an array

## Question:

Is there a function in numpy, that returns the part between two vectors:

ex:
Say this table shows the array

1 2 3
4 5 6
7 8 9

Is there such a function when called like array[(0, 1): (2, 3)] will return

2 3
5 6

where two end points are the vectors specified in the range. (0, 1) is the topleft end, and (2, 3) is the bottomright end. The vectors’ sizes are unknown as well as the shape of the matrix.

In `(0, 1)`, the `0` refers to the row, and the `1` refers to the column.
In `(2, 3)`, the `2` refers to the row, and the `3` refers to the column.

You can’t directly use `(0, 1)` and `(2, 3)`, but recognizing the above, you can convert them to slices. You can also pass a tuple of slices to the array indexer, and it’ll use the `i`th slice along the `i`th axis.

``````def special_slice(array, topleft, bottomright):
slices = tuple(slice(tl, br) for tl, br in zip(topleft, bottomright))
return array[slices]

a = np.array([[1., 2., 3.],
[4., 5., 6.],
[7., 8., 9.]])

b = special_slice(a, (0, 1), (2, 3))
# array([[2., 3.],
#        [5., 6.]])
``````

You can use regular subscripting. The range values simply need to be grouped by rows and column start/stop pairs:

``````import numpy as np

x= np.array([[1., 2., 3.],
[4., 5., 6.],
[7., 8., 9.]])

top    = (0,1)
bottom = (2,3)

r0,c0,r1,c1 = *top,*bottom
y = x[r0:r1,c0:c1]

print(y)
[[2. 3.]
[5. 6.]]
``````

If you have a variable number of dimensions in the matrix, you can use starmap from itertools to convert the coordinates to slices for subscripting:

``````from itertools import starmap

y = x[(*starmap(slice,zip(top,bottom)),)]
``````
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