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How to execute a function on a group of rows in pandas dataframe?

I am trying to implement an algorithm . Let's say the algorithm is executed as the function "xyz"

The function is specifically designed to operate on trajectory data, ie (x,y) coordinates.

The function takes two arguments:

the first argument is a list of tuples of (x,y) points,

and the second is a constant value.

It can be illustrated as follows:

 line = [(0,0),(1,0),(2,0),(2,1),(2,2),(1,2),(0,2),(0,1),(0,0)]
 xyz(line, 5.0) #calling the function

Output:

 [(0, 0), (2, 0), (2, 2), (0, 2), (0, 0)]

This can be easily implemented when there is only one line. But I have a huge data frame as follows:

     id      x     y    x,y
  0  1       0     0    (0,0)
  1  1       1     0    (1,0)
  2  1       2     0    (2,0)
  3  1       2     1    (2,1)
  4  1       2     2    (2,2)
  5  1       1     2    (1,2)
  6  2       1     3    (1,3)
  7  2       1     4    (1,4)
  8  2       2     3    (2,3)
  9  2       1     2    (1,2)
 10  3       2     5    (2,5)
 11  3       3     3    (3,3)
 12  3       1     9    (1,9)
 13  3       4     6    (4,6)

In the above data frame, rows with same "id" forms the points of one separate trajectory/ line. I want to implement the above mentioned function for each of these lines.

We can observe from the df there are 3 different trajectories with ids 1,2,3. Trajectory 1 has its x, y value in row (0-5), trajectory 2 has its points in rows (6-9) and so on..

How to implement function "xyz" for each of these lines, and since output of this function is again a list of tuples of x,y coordinates, how to store this list? Note: The output list can contain any random number of tuples.

I think you need groupby with apply :

print (df.groupby('id')['x,y'].apply(lambda x: xyz(x, 5.0)))

Or:

print (df.groupby('id')['x,y'].apply(xyz, 5.0))

Sample with rdp function - is necessary add tolist , else get KeyError: -1 :

print (df.groupby('id')['x,y'].apply(lambda x: rdp(x.tolist(), 5.0)))
#alternative with list
#print (df.groupby('id')['x,y'].apply(lambda x: rdp(list(x), 5.0))
id
1    [(0, 0), (1, 2)]
2    [(1, 3), (1, 2)]
3    [(2, 5), (4, 6)]
Name: x,y, dtype: object

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