Coverage for tests / test_Ellipse.py: 19%

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 

5# (http://www.lsst.org). 

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

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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, WITHIN, Angle, Circle, Ellipse, Region, UnitVector3d 

41 

42 

43class EllipseTestCase(unittest.TestCase): 

44 """Test Ellipse.""" 

45 

46 def test_construction(self): 

47 self.assertTrue(Ellipse.empty().isEmpty()) 

48 self.assertTrue(Ellipse().isEmpty()) 

49 self.assertTrue(Ellipse.full().isFull()) 

50 e = Ellipse(Circle(UnitVector3d.X(), Angle(math.pi / 2))) 

51 f = Ellipse(UnitVector3d.X(), Angle(math.pi / 2)) 

52 self.assertEqual(e, f) 

53 self.assertEqual(e.getAlpha(), e.getBeta()) 

54 self.assertTrue(e.isCircle()) 

55 self.assertTrue(e.isGreatCircle()) 

56 g = Ellipse(e) 

57 h = e.clone() 

58 self.assertEqual(e, g) 

59 self.assertEqual(g, h) 

60 self.assertNotEqual(id(e), id(g)) 

61 self.assertNotEqual(id(g), id(h)) 

62 

63 def test_comparison_operators(self): 

64 e = Ellipse(UnitVector3d.X(), UnitVector3d.Y(), Angle(2 * math.pi / 3)) 

65 f = Ellipse(UnitVector3d.X(), Angle(math.pi / 3), Angle(math.pi / 6), Angle(0)) 

66 self.assertEqual(e, e) 

67 self.assertNotEqual(e, f) 

68 

69 def test_center_and_dimensions(self): 

70 e = Ellipse(UnitVector3d.X(), UnitVector3d.Y(), Angle(2 * math.pi / 3)) 

71 self.assertAlmostEqual(e.getF1().dot(UnitVector3d.X()), 1.0) 

72 self.assertAlmostEqual(e.getF2().dot(UnitVector3d.Y()), 1.0) 

73 self.assertAlmostEqual(e.getAlpha(), Angle(2 * math.pi / 3)) 

74 f = Ellipse(UnitVector3d.X(), Angle(math.pi / 3), Angle(math.pi / 6), Angle(0)) 

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

76 

77 def test_relationships(self): 

78 e = Ellipse(UnitVector3d.X(), Angle(math.pi / 3), Angle(math.pi / 6), Angle(0)) 

79 self.assertTrue(e.contains(UnitVector3d.X())) 

80 self.assertTrue(UnitVector3d.X() in e) 

81 c = Circle(UnitVector3d.X(), Angle(math.pi / 2)) 

82 self.assertEqual(c.relate(e), CONTAINS) 

83 self.assertEqual(c.overlaps(e), True) 

84 self.assertEqual(e.relate(c), WITHIN) 

85 self.assertEqual(e.overlaps(c), True) 

86 

87 def test_vectorized_contains(self): 

88 e = Ellipse(UnitVector3d.X(), Angle(math.pi / 3), Angle(math.pi / 6), Angle(0)) 

89 x = np.random.rand(5, 3) 

90 y = np.random.rand(5, 3) 

91 z = np.random.rand(5, 3) 

92 c = e.contains(x, y, z) 

93 lon = np.arctan2(y, x) 

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

95 c2 = e.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], e.contains(u)) 

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

101 # test with non-contiguous memory 

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

103 c4 = e.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], e.contains(u)) 

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

109 

110 def test_complement(self): 

111 e = Ellipse(UnitVector3d.X(), Angle(math.pi / 3), Angle(math.pi / 6), Angle(0)) 

112 f = e.complemented().complement() 

113 self.assertEqual(e, f) 

114 

115 def test_codec(self): 

116 e = Ellipse(UnitVector3d.X(), UnitVector3d.Y(), Angle(2 * math.pi / 3)) 

117 s = e.encode() 

118 self.assertEqual(Ellipse.decode(s), e) 

119 self.assertEqual(Region.decode(s), e) 

120 

121 def test_string(self): 

122 c = Ellipse(UnitVector3d.Z(), Angle(1.0)) 

123 self.assertEqual(str(c), "Ellipse([0.0, 0.0, 1.0], [0.0, 0.0, 1.0], 1.0)") 

124 self.assertEqual( 

125 repr(c), "Ellipse(UnitVector3d(0.0, 0.0, 1.0), UnitVector3d(0.0, 0.0, 1.0), Angle(1.0))" 

126 ) 

127 self.assertEqual(c, eval(repr(c), {"Angle": Angle, "Ellipse": Ellipse, "UnitVector3d": UnitVector3d})) 

128 

129 def test_pickle(self): 

130 a = Ellipse(UnitVector3d.X(), UnitVector3d.Y(), Angle(2 * math.pi / 3)) 

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

132 self.assertEqual(a, b) 

133 

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

135 def test_yaml(self): 

136 a = Ellipse(UnitVector3d.X(), UnitVector3d.Y(), Angle(2 * math.pi / 3)) 

137 b = yaml.safe_load(yaml.dump(a)) 

138 self.assertEqual(a, b) 

139 

140 

141if __name__ == "__main__": 

142 unittest.main()