from typing import Tuple, List

import numpy


# This file uses list_of_coordinates in a 2dimensional cartesic space.
# To calculate a symmetric matrix (nxn) with n as length of the list_of_coordinates

def compute_symmetric_matrix_in_cartesic_space(coordinates: List[Tuple[float, float]]):
    if len(coordinates) == 0:
        return numpy.zeros((0, 0))
    c = numpy.array(coordinates)
    m = numpy.meshgrid([range(len(c))], [range(len(c))])
    xy1 = c[m[0]]
    xy2 = c[m[1]]
    matrix = numpy.linalg.norm(xy1 - xy2, ord=2, axis=2)
    return matrix