Coverage for tests / test_Circle.py: 18%

1# This file is part of sphgeom. 

2# 

3# Developed for the LSST Data Management System. 

4# This product includes software developed by the LSST Project 

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6# See the COPYRIGHT file at the top-level directory of this distribution 

7# for details of code ownership. 

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9# This software is dual licensed under the GNU General Public License and also 

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13# (but note that there is still no warranty even if you opt for BSD instead): 

14# 

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

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

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18# (at your option) any later version. 

19# 

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

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

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

23# GNU General Public License for more details. 

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27 

28import pickle 

29 

30try: 

31 import yaml 

32except ImportError: 

33 yaml = None 

34 

35import math 

36import unittest 

37 

38import numpy as np 

39 

40from lsst.sphgeom import CONTAINS, DISJOINT, Angle, Circle, Region, UnitVector3d 

41 

42 

43class CircleTestCase(unittest.TestCase): 

44 """Test Circle.""" 

45 

46 def setUp(self): 

47 np.random.seed(1) 

48 

49 def test_construction(self): 

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

51 self.assertTrue(Circle().isEmpty()) 

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

53 c = Circle(UnitVector3d.X()) 

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

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

56 c = Circle(UnitVector3d.Z(), 2.0) 

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

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

59 self.assertTrue(c.isFull()) 

60 d = c.clone() 

61 self.assertEqual(c, d) 

62 self.assertNotEqual(id(c), id(d)) 

63 e = Circle(d) 

64 self.assertEqual(d, e) 

65 

66 def test_comparison_operators(self): 

67 c = Circle(UnitVector3d.X(), 4.0) 

68 d = Circle(UnitVector3d.Y(), 4.0) 

69 self.assertEqual(c, d) 

70 self.assertTrue(c.isFull()) 

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

72 

73 def test_center_and_dimensions(self): 

74 c = Circle(UnitVector3d.X(), 1) 

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

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

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

78 

79 def test_relationships(self): 

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

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

82 e = Circle(-UnitVector3d.X()) 

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

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

85 self.assertTrue(d.contains(c)) 

86 self.assertTrue(c.isWithin(d)) 

87 self.assertTrue(c.intersects(d)) 

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

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

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

91 self.assertEqual(d.overlaps(c), True) 

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

93 self.assertEqual(e.overlaps(d), False) 

94 

95 def test_vectorized_contains(self): 

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

97 x = np.random.rand(5, 3) 

98 y = np.random.rand(5, 3) 

99 z = np.random.rand(5, 3) 

100 c = b.contains(x, y, z) 

101 lon = np.arctan2(y, x) 

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

103 c2 = b.contains(lon, lat) 

104 for i in range(x.shape[0]): 

105 for j in range(x.shape[1]): 

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

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

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

109 # test with non-contiguous memory 

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

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

112 for i in range(x.shape[0], 2): 

113 for j in range(x.shape[1]): 

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

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

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

117 

118 def test_expanding_and_clipping(self): 

119 a = Circle.empty() 

120 b = ( 

121 a.expandedTo(UnitVector3d.X()) 

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

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

124 .clippedTo(UnitVector3d.Y()) 

125 ) 

126 a.expandTo(UnitVector3d.X()) 

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

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

129 a.clipTo(UnitVector3d.Y()) 

130 self.assertEqual(a, b) 

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

132 a.clipTo(UnitVector3d.Z()) 

133 self.assertTrue(a.isEmpty()) 

134 

135 def test_dilation_and_erosion(self): 

136 a = Angle(math.pi / 2) 

137 c = Circle(UnitVector3d.X()) 

138 d = c.dilatedBy(a).erodedBy(a) 

139 c.dilateBy(a).erodeBy(a) 

140 self.assertEqual(c, d) 

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

142 

143 def test_complement(self): 

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

145 d = c.complemented() 

146 c.complement() 

147 self.assertEqual(c, d) 

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

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

150 

151 def test_area(self): 

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

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

154 

155 def test_codec(self): 

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

157 s = c.encode() 

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

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

160 

161 def test_string(self): 

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

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

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

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

166 

167 def test_pickle(self): 

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

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

170 self.assertEqual(a, b) 

171 

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

173 def test_yaml(self): 

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

175 b = yaml.safe_load(yaml.dump(a)) 

176 self.assertEqual(a, b) 

177 

178 

179if __name__ == "__main__": 

180 unittest.main()