Python | Adjacent Coordinates in N dimension

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mahmoud2506

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2022-05-23

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tuple = ("python", "includehelp", 43, 54.23)

Extracting adjacent coordinates in N dimension in Python

We have a tuple with n coordinates of a point and we need to find all adjacent coordinates in N dimensions in the python programming language. So for this, we will be finding all the adjacent coordinates of the given point denoted using N element tuple. For this, we need to find all values that are in the range (-1...1) for each element of the tuple and find all possible combinations of the range which will provide all adjacent elements.

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mahmoud2506

2022-05-23

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In the Python programming language, we can perform this task using the yield along with recursively calling the range for each other element of the tuple.

# Program to extract adjacent coordinates 
# in N dimensions in Python

# Recursive function to find coordinates using yield...
def findAdjPoint(ele, sub = []):
    if not ele:
    	yield sub
    else:
    	yield from [idx for j in range(ele[0] - 1, ele[0] + 2) 
    	    for idx in findAdjPoint(ele[1:], sub + [j])]

# Creating and printing initial tuple (point)
point = (3, 1, 4)
print("The N dimension of point are : " + str(point))

adjCoord = list(findAdjPoint(point))
print("All adjacent Coordinates in N dimension : \n" + str(adjCoord))

Output:

The N dimension of point are : (3, 1, 4)
All adjacent Coordinates in N dimension : 
[
[2, 0, 3], [2, 0, 4], [2, 0, 5], [2, 1, 3], 
[2, 1, 4], [2, 1, 5], [2, 2, 3], [2, 2, 4], 
[2, 2, 5], [3, 0, 3], [3, 0, 4], [3, 0, 5], 
[3, 1, 3], [3, 1, 4], [3, 1, 5], [3, 2, 3], 
[3, 2, 4], [3, 2, 5], [4, 0, 3], [4, 0, 4], 
[4, 0, 5], [4, 1, 3], [4, 1, 4], [4, 1, 5], 
[4, 2, 3], [4, 2, 4], [4, 2, 5]
]

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