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  1. import numpy as np
  2. from dataclasses import dataclass
  3. from collections import defaultdict
  4.  
  5. input_points = np.array([
  6.     [20., 20., 60.],
  7.     [20., 30., 65.],
  8.     [55., 30., 80.],
  9.     [80., 10., 60.],
  10.     [20., 10., 55.],
  11.     [60., 30., 70.],
  12.     [70., 15., 20.],
  13. ])
  14.  
  15. planes_defined_by_points = [
  16.     np.array([[50., 5., 5.], [50., 45., 5.], [70., 45., 95.]]),
  17.     np.array([[30., 5., 95.], [30., 45., 95.], [60., 5., 5.]]),
  18. ]
  19.  
  20. @dataclass
  21. class PlaneNormalForm:
  22.     """The plane of all points p with np.dot(self.ortho, p) == self.scalar"""
  23.     ortho: np.array
  24.     scalar: float
  25.  
  26. planes_in_normal_form = []
  27. for points in planes_defined_by_points:
  28.     ortho = np.cross(points[1] - points[0],
  29.                      points[2] - points[0])
  30.     planes_in_normal_form.append(PlaneNormalForm(
  31.             ortho=ortho,
  32.             scalar=np.dot(ortho, points[0])))
  33.  
  34. points_by_relative_position = defaultdict(list)
  35. for point in input_points:
  36. 	key = tuple(np.dot(plane.ortho, point) > plane.scalar
  37. 	            for plane in planes_in_normal_form)
  38. 	points_by_relative_position[key].append(point)
  39.  
  40. for key, points in points_by_relative_position.items():
  41.     print(key)
  42.     for point in points:
  43.     	print("  {:5.0f}, {:5.0f}, {:5.0f}".format(*point))
  44.  
Success #stdin #stdout 0.29s 28092KB
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Standard input is empty
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(False, True)
     20,    20,    60
     20,    30,    65
     20,    10,    55
(False, False)
     55,    30,    80
     60,    30,    70
(True, False)
     80,    10,    60
     70,    15,    20
https://ideone.com/oo5GFg
language:
Python 3 (python  3.9.5)
created:
3 years ago
visibility:
public

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