Python – Adjacent Coordinates in N dimension

Sometimes, while working with Python Matrix, we can have a problem in which we need to extract all the adjacent coordinates of the given coordinate. This kind of problem can have application in many domains such as web development and school programming. Lets discuss certain way in which this task can be performed.

Input : test_tup = (1, 2, 3)
Output : [[0, 1, 2], [0, 1, 3], [0, 1, 4], [0, 2, 2], [0, 2, 3], [0, 2, 4], [0, 3, 2], [0, 3, 3], [0, 3, 4], [1, 1, 2], [1, 1, 3], [1, 1, 4], [1, 2, 2], [1, 2, 3], [1, 2, 4], [1, 3, 2], [1, 3, 3], [1, 3, 4], [2, 1, 2], [2, 1, 3], [2, 1, 4], [2, 2, 2], [2, 2, 3], [2, 2, 4], [2, 3, 2], [2, 3, 3], [2, 3, 4]]
Input : test_tup = (5, 6)
Output : [[4, 5], [4, 6], [4, 7], [5, 5], [5, 6], [5, 7], [6, 5], [6, 6], [6, 7]]

Method : Using recursion + yield
The combination of above functionalities can be used to solve this problem. In this, we extract the elements dynamically using yield for the coordinates around the query coordinate and using recursion, process for next column and row.

# Python3 code to demonstrate working of
# Adjacent Coordinates in N dimension
# Using recursion + yield

# helper_fnc
def adjac(ele, sub = []):
  if not ele:
     yield sub
  else:
     yield from [idx for j in range(ele[0] - 1, ele[0] + 2)
                for idx in adjac(ele[1:], sub + [j])]

# initializing tuple
test_tup = (3, 4)

# printing original tuple
print("The original tuple : " + str(test_tup))

# Initialize dictionary keys with Matrix
# Using deepcopy()
res = list(adjac(test_tup))

# printing result
print("The adjacent Coordinates : " + str(res))

Output :

The original tuple : (3, 4)
The adjacent Coordinates : [[2, 3], [2, 4], [2, 5], [3, 3], [3, 4], [3, 5], [4, 3], [4, 4], [4, 5]]

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