Line Sweep Alorithmus mit Test
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from bisect import bisect_left, bisect_right
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import unittest
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def find_intersections(horizontal_segments, vertical_segments, epsilon=0.0):
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horizontal_segments.sort(key=lambda h: h[0][1]) # sortiere nach y
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horizontal_ys = []
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horizontal_x_ranges = []
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for (x1, y), (x2, _) in horizontal_segments:
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if x1 > x2:
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x1, x2 = x2, x1
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horizontal_ys.append(y)
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horizontal_x_ranges.append((x1, x2))
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intersections = []
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for (x, y1), (_, y2) in vertical_segments:
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if y1 > y2:
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y1, y2 = y2, y1
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for idx, y in enumerate(horizontal_ys):
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if y1 - epsilon <= y <= y2 + epsilon:
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x_start, x_end = horizontal_x_ranges[idx]
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if x_start - epsilon <= x <= x_end + epsilon:
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intersections.append((x, y))
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return intersections
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class TestStringMethods(unittest.TestCase):
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def test_sweep(self):
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horizontal = [((1, 2), (5, 2)), ((3, 4), (7, 4))]
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vertical = [((4, 1), (4, 5)), ((6, 3), (6, 6))]
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a = find_intersections(horizontal, vertical)
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self.assertEqual( [(4,2),(4,4),(6,4)], a)
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def test_tol(self):
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horizontal = [((0, 0), (10, 0))]
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vertical = [((4, 0.6), (4, 5)), ((6, 0.2), (6, 6)),((8,-0.2),(8, 4))]
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b = find_intersections(horizontal, vertical, 0.5)
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self.assertEqual( length(b), 2)
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if __name__ == '__main__':
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unittest.main()
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