1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
|
# Copyright (c) 2020-2024, Manfred Moitzi
# License: MIT License
import pytest
from ezdxf.math import Vec2, is_convex_polygon_2d
from ezdxf.math._construct import is_point_in_polygon_2d # Python version
from ezdxf.acc import USE_C_EXT
is_point_in_polygon_cy = is_point_in_polygon_2d
if USE_C_EXT:
try: # Cython version
from ezdxf.acc.construct import is_point_in_polygon_2d as is_point_in_polygon_cy
except ImportError:
pass
def test_inside_horizontal_box():
square = Vec2.list([(0, 0), (1, 0), (1, 1), (0, 1)])
assert is_point_in_polygon_2d(Vec2(0.5, 0.5), square) == 1
def test_outside_horizontal_box():
square = Vec2.list([(0, 0), (1, 0), (1, 1), (0, 1)])
assert is_point_in_polygon_2d(Vec2(-0.5, 0.5), square) == -1
assert is_point_in_polygon_2d(Vec2(1.5, 0.5), square) == -1
assert is_point_in_polygon_2d(Vec2(0.5, -0.5), square) == -1
assert is_point_in_polygon_2d(Vec2(0.5, 1.5), square) == -1
def test_colinear_outside_horizontal_box():
square = Vec2.list([(0, 0), (1, 0), (1, 1), (0, 1)])
assert is_point_in_polygon_2d(Vec2(1.5, 0), square) == -1
assert is_point_in_polygon_2d(Vec2(-0.5, 0), square) == -1
assert is_point_in_polygon_2d(Vec2(0, 1.5), square) == -1
assert is_point_in_polygon_2d(Vec2(0, -0.5), square) == -1
def test_corners_horizontal_box():
square = Vec2.list([(0, 0), (1, 0), (1, 1), (0, 1)])
assert is_point_in_polygon_2d(Vec2(0, 0), square) == 0
assert is_point_in_polygon_2d(Vec2(0, 1), square) == 0
assert is_point_in_polygon_2d(Vec2(1, 1), square) == 0
assert is_point_in_polygon_2d(Vec2(0, 1), square) == 0
def test_inside_slanted_box():
square = Vec2.list([(0, 0), (1, 1), (0, 2), (-1, 1)])
assert is_point_in_polygon_2d(Vec2(0, 1), square) == 1
def test_outside_slanted_box():
square = Vec2.list([(0, 0), (1, 1), (0, 2), (-1, 1)])
assert is_point_in_polygon_2d(Vec2(-1, 0), square) == -1
assert is_point_in_polygon_2d(Vec2(1, 0), square) == -1
assert is_point_in_polygon_2d(Vec2(1, 2), square) == -1
assert is_point_in_polygon_2d(Vec2(-1, 2), square) == -1
def test_corners_slanted_box():
square = Vec2.list([(0, 0), (1, 1), (0, 2), (-1, 1)])
assert is_point_in_polygon_2d(Vec2(0, 0), square) == 0
assert is_point_in_polygon_2d(Vec2(1, 1), square) == 0
assert is_point_in_polygon_2d(Vec2(0, 2), square) == 0
assert is_point_in_polygon_2d(Vec2(-1, 1), square) == 0
def test_borders_slanted_box_stable():
square = Vec2.list([(0, 0), (1, 1), (0, 2), (-1, 1)])
assert is_point_in_polygon_2d(Vec2(0.5, 0.5), square) == 0
assert is_point_in_polygon_2d(Vec2(0.5, 1.5), square) == 0
assert is_point_in_polygon_2d(Vec2(-0.5, 1.5), square) == 0
assert is_point_in_polygon_2d(Vec2(-0.5, 0.5), square) == 0
# Test concave polygon:
#
# 0123456
# 8 .......
# 7 .7---6.
# 6 .|...|.
# 5 .|.4-5.
# 4 .|.|...
# 3 .|.3-2.
# 2 .|...|.
# 1 .0---1.
# 0 .......
# 0123456
SHAPE_C_CCW = Vec2.list(
# 0 1 2 3 4 5 6 7
[(1, 1), (5, 1), (5, 3), (3, 3), (3, 5), (5, 5), (5, 7), (1, 7)]
)
SHAPE_C_CW = list(reversed(SHAPE_C_CCW))
# 0123456
# 8 .......
# 7 .+---+.
# 6 .|678|.
# 5 .|5+-+.
# 4 .|4|...
# 3 .|3+-+.
# 2 .|012|.
# 1 .+---+.
# 0 .......
# 0123456
POINTS_INSIDE = Vec2.list(
# 0 1 2 3 4 5 6 7 8
[(2, 2), (3, 2), (4, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 6), (4, 6)]
)
# 0123456
# 8 b.c.d.e
# 7 .+---+.
# 6 9|...|a
# 5 .|.+-+.
# 4 6|.|7.8
# 3 .|.+-+.
# 2 4|...|5
# 1 .+---+.
# 0 0.1.2.3
# 0123456
POINTS_OUTSIDE = Vec2.list(
[
(0, 0), # 0
(2, 0), # 1
(4, 0), # 2
(6, 0), # 3
(0, 2), # 4
(6, 2), # 5
(0, 4), # 6
(4, 4), # 7
(6, 2), # 8
(0, 6), # 9
(6, 6), # a
(0, 8), # b
(2, 8), # c
(4, 8), # d
(6, 8), # e
]
)
# 0123456
# 8 .......
# 7 .+-6-+.
# 6 .|...5.
# 5 .|.+4+.
# 4 .7.3...
# 3 .|.+2+.
# 2 .|...1.
# 1 .+-0-+.
# 0 .......
# 0123456
POINTS_ON_BOUNDARY = Vec2.list(
# 0 1 2 3 4 5 6 7
[(1, 3), (5, 2), (4, 3), (3, 4), (4, 5), (5, 6), (3, 7), (1, 4)]
)
def test_shape_c_is_not_convex():
assert is_convex_polygon_2d(SHAPE_C_CCW) is False
assert is_convex_polygon_2d(SHAPE_C_CW) is False
@pytest.mark.parametrize("point", POINTS_INSIDE)
def test_is_inside_ccw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CCW) == 1
@pytest.mark.parametrize("point", POINTS_ON_BOUNDARY)
def test_is_on_boundary_ccw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CCW) == 0
@pytest.mark.parametrize("point", POINTS_OUTSIDE)
def test_is_outside_ccw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CCW) == -1
@pytest.mark.parametrize("point", POINTS_INSIDE)
def test_is_inside_cw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CW) == 1
@pytest.mark.parametrize("point", POINTS_ON_BOUNDARY)
def test_is_on_boundary_cw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CW) == 0
@pytest.mark.parametrize("point", POINTS_OUTSIDE)
def test_is_outside_cw_polygon(point: Vec2):
assert is_point_in_polygon_2d(point, SHAPE_C_CW) == -1
@pytest.mark.skipif(
is_point_in_polygon_cy is is_point_in_polygon_2d,
reason="no Cython implementation available",
)
class TestCythonImplementation:
@pytest.mark.parametrize("point", POINTS_INSIDE)
def test_is_inside_ccw_polygon(self, point: Vec2):
assert is_point_in_polygon_cy(point, SHAPE_C_CCW) == 1
@pytest.mark.parametrize("point", POINTS_ON_BOUNDARY)
def test_is_on_boundary_ccw_polygon(self, point: Vec2):
assert is_point_in_polygon_cy(point, SHAPE_C_CCW) == 0
@pytest.mark.parametrize("point", POINTS_OUTSIDE)
def test_is_outside_ccw_polygon(self, point: Vec2):
assert is_point_in_polygon_cy(point, SHAPE_C_CCW) == -1
if __name__ == "__main__":
pytest.main([__file__])
|
