code: def generate_polygon_coordinates(
      coordinate_array, centroids, radius, num_vertices
  ):
      i = cuda.grid(1)
      if i >= coordinate_array.size:
          return
  
      point_idx = i // 2
      geometry_idx = point_idx // (num_vertices + 1)
  
      # The last index should wrap around to 0
      intra_point_idx = point_idx % (num_vertices + 1)
  
      centroid = centroids[geometry_idx]
      angle = 2 * np.pi * intra_point_idx / num_vertices
  
      if i % 2 == 0:
          coordinate_array[i] = centroid[0] + radius * np.cos(angle)
      else:
          coordinate_array[i] = centroid[1] + radius * np.sin(angle)
  
imports: import cupy
  import geopandas
  import numpy
  import pandas
  import pytest
  import pytest_cases
  from numba import cuda
  from shapely.geometry import LineString, MultiLineString, MultiPoint, MultiPolygon, Point, Polygon
  import cudf
  import cuspatial
label_desc: Use image node_id 15 for calling a global function with example usage: generate_polygon_coordinates(coordinate_array, centroids, radius, num_vertices) without return types