Coverage for tests/test_Circle.py: 18%

120 statements  

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1# 

2# LSST Data Management System 

3# See COPYRIGHT file at the top of the source tree. 

4# 

5# This product includes software developed by the 

6# LSST Project (http://www.lsst.org/). 

7# 

8# This program is free software: you can redistribute it and/or modify 

9# it under the terms of the GNU General Public License as published by 

10# the Free Software Foundation, either version 3 of the License, or 

11# (at your option) any later version. 

12# 

13# This program is distributed in the hope that it will be useful, 

14# but WITHOUT ANY WARRANTY; without even the implied warranty of 

15# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 

16# GNU General Public License for more details. 

17# 

18# You should have received a copy of the LSST License Statement and 

19# the GNU General Public License along with this program. If not, 

20# see <https://www.lsstcorp.org/LegalNotices/>. 

21# 

22 

23import pickle 

24 

25try: 

26 import yaml 

27except ImportError: 

28 yaml = None 

29 

30import math 

31import unittest 

32 

33import numpy as np 

34from lsst.sphgeom import CONTAINS, DISJOINT, Angle, Circle, Region, UnitVector3d 

35 

36 

37class CircleTestCase(unittest.TestCase): 

38 """Test Circle.""" 

39 

40 def setUp(self): 

41 np.random.seed(1) 

42 

43 def test_construction(self): 

44 self.assertTrue(Circle.empty().isEmpty()) 

45 self.assertTrue(Circle().isEmpty()) 

46 self.assertTrue(Circle.full().isFull()) 

47 c = Circle(UnitVector3d.X()) 

48 self.assertEqual(c.getOpeningAngle(), Angle(0)) 

49 self.assertEqual(c.getSquaredChordLength(), 0) 

50 c = Circle(UnitVector3d.Z(), 2.0) 

51 self.assertTrue(c.contains(UnitVector3d.Z())) 

52 c = Circle(UnitVector3d.Z(), Angle(math.pi)) 

53 self.assertTrue(c.isFull()) 

54 d = c.clone() 

55 self.assertEqual(c, d) 

56 self.assertNotEqual(id(c), id(d)) 

57 e = Circle(d) 

58 self.assertEqual(d, e) 

59 

60 def test_comparison_operators(self): 

61 c = Circle(UnitVector3d.X(), 4.0) 

62 d = Circle(UnitVector3d.Y(), 4.0) 

63 self.assertEqual(c, d) 

64 self.assertTrue(c.isFull()) 

65 self.assertNotEqual(c, Circle(UnitVector3d.Z())) 

66 

67 def test_center_and_dimensions(self): 

68 c = Circle(UnitVector3d.X(), 1) 

69 self.assertEqual(c.getCenter(), UnitVector3d.X()) 

70 self.assertEqual(c.getSquaredChordLength(), 1) 

71 self.assertAlmostEqual(c.getOpeningAngle().asRadians(), math.pi / 3) 

72 

73 def test_relationships(self): 

74 c = Circle(UnitVector3d.X(), Angle.fromDegrees(0.1)) 

75 d = Circle(UnitVector3d(1, 1, 1), Angle(math.pi / 2)) 

76 e = Circle(-UnitVector3d.X()) 

77 self.assertTrue(c.contains(UnitVector3d.X())) 

78 self.assertTrue(UnitVector3d.X() in c) 

79 self.assertTrue(d.contains(c)) 

80 self.assertTrue(c.isWithin(d)) 

81 self.assertTrue(c.intersects(d)) 

82 self.assertTrue(c.intersects(UnitVector3d.X())) 

83 self.assertTrue(e.isDisjointFrom(d)) 

84 self.assertEqual(d.relate(c), CONTAINS) 

85 self.assertEqual(e.relate(d), DISJOINT) 

86 

87 def test_vectorized_contains(self): 

88 b = Circle(UnitVector3d(*np.random.randn(3)), Angle(0.4 * math.pi)) 

89 x = np.random.rand(5, 3) 

90 y = np.random.rand(5, 3) 

91 z = np.random.rand(5, 3) 

92 c = b.contains(x, y, z) 

93 lon = np.arctan2(y, x) 

94 lat = np.arctan2(z, np.hypot(x, y)) 

95 c2 = b.contains(lon, lat) 

96 for i in range(x.shape[0]): 

97 for j in range(x.shape[1]): 

98 u = UnitVector3d(x[i, j], y[i, j], z[i, j]) 

99 self.assertEqual(c[i, j], b.contains(u)) 

100 self.assertEqual(c2[i, j], b.contains(u)) 

101 # test with non-contiguous memory 

102 c3 = b.contains(x[::2], y[::2], z[::2]) 

103 c4 = b.contains(lon[::2], lat[::2]) 

104 for i in range(x.shape[0], 2): 

105 for j in range(x.shape[1]): 

106 u = UnitVector3d(x[i, j], y[i, j], z[i, j]) 

107 self.assertEqual(c3[i // 2, j], b.contains(u)) 

108 self.assertEqual(c4[i // 2, j], b.contains(u)) 

109 

110 def test_expanding_and_clipping(self): 

111 a = Circle.empty() 

112 b = ( 

113 a.expandedTo(UnitVector3d.X()) 

114 .expandedTo(Circle(UnitVector3d.Y(), 1)) 

115 .clippedTo(Circle(UnitVector3d(1, 1, 0), 1)) 

116 .clippedTo(UnitVector3d.Y()) 

117 ) 

118 a.expandTo(UnitVector3d.X()) 

119 a.expandTo(Circle(UnitVector3d.Y(), 1)) 

120 a.clipTo(Circle(UnitVector3d(1, 1, 0), 1)) 

121 a.clipTo(UnitVector3d.Y()) 

122 self.assertEqual(a, b) 

123 self.assertEqual(a, Circle(UnitVector3d.Y())) 

124 a.clipTo(UnitVector3d.Z()) 

125 self.assertTrue(a.isEmpty()) 

126 

127 def test_dilation_and_erosion(self): 

128 a = Angle(math.pi / 2) 

129 c = Circle(UnitVector3d.X()) 

130 d = c.dilatedBy(a).erodedBy(a) 

131 c.dilateBy(a).erodeBy(a) 

132 self.assertEqual(c, d) 

133 self.assertEqual(c, Circle(UnitVector3d.X())) 

134 

135 def test_complement(self): 

136 c = Circle(UnitVector3d.X(), 2.0) 

137 d = c.complemented() 

138 c.complement() 

139 self.assertEqual(c, d) 

140 self.assertEqual(c.getCenter(), -UnitVector3d.X()) 

141 self.assertEqual(c.getSquaredChordLength(), 2.0) 

142 

143 def test_area(self): 

144 c = Circle(UnitVector3d(1, 1, 1), 2.0) 

145 self.assertAlmostEqual(c.getArea(), 2 * math.pi) 

146 

147 def test_codec(self): 

148 c = Circle(UnitVector3d.Y(), 1.0) 

149 s = c.encode() 

150 self.assertEqual(Circle.decode(s), c) 

151 self.assertEqual(Region.decode(s), c) 

152 

153 def test_string(self): 

154 c = Circle(UnitVector3d.Z(), Angle(1.0)) 

155 self.assertEqual(str(c), "Circle([0.0, 0.0, 1.0], 1.0)") 

156 self.assertEqual(repr(c), "Circle(UnitVector3d(0.0, 0.0, 1.0), Angle(1.0))") 

157 self.assertEqual(c, eval(repr(c), {"Angle": Angle, "Circle": Circle, "UnitVector3d": UnitVector3d})) 

158 

159 def test_pickle(self): 

160 a = Circle(UnitVector3d(1, -1, 1), 1.0) 

161 b = pickle.loads(pickle.dumps(a, pickle.HIGHEST_PROTOCOL)) 

162 self.assertEqual(a, b) 

163 

164 @unittest.skipIf(not yaml, "YAML module can not be imported") 

165 def test_yaml(self): 

166 a = Circle(UnitVector3d(1, -1, 1), 1.0) 

167 b = yaml.safe_load(yaml.dump(a)) 

168 self.assertEqual(a, b) 

169 

170 

171if __name__ == "__main__": 

172 unittest.main()