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# 

# LSST Data Management System 

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

# 

# This product includes software developed by the 

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

# 

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

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

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

# (at your option) any later version. 

# 

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

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

# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 

# GNU General Public License for more details. 

# 

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

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

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

# 

 

import pickle 

 

import math 

import unittest 

 

from lsst.sphgeom import Angle, LonLat, UnitVector3d, Vector3d 

 

 

class UnitVector3dTestCase(unittest.TestCase): 

 

def testConstruction(self): 

v = Vector3d(1, 1, 1) 

u = UnitVector3d.orthogonalTo(v) 

self.assertAlmostEqual(u.dot(v), 0.0, places=15) 

a = UnitVector3d(1, 1, 1) 

self.assertEqual(a, UnitVector3d(Vector3d(1, 1, 1))) 

self.assertAlmostEqual(a.x(), math.sqrt(3.0) / 3.0, places=15) 

self.assertAlmostEqual(a.y(), math.sqrt(3.0) / 3.0, places=15) 

self.assertAlmostEqual(a.z(), math.sqrt(3.0) / 3.0, places=15) 

b = UnitVector3d(Angle.fromDegrees(45), Angle.fromDegrees(45)) 

self.assertEqual(b, UnitVector3d(LonLat.fromDegrees(45, 45))) 

self.assertAlmostEqual(b.x(), 0.5, places=15) 

self.assertAlmostEqual(b.y(), 0.5, places=15) 

self.assertAlmostEqual(b.z(), 0.5 * math.sqrt(2.0), places=15) 

c = UnitVector3d.northFrom(b) 

d = UnitVector3d(LonLat.fromDegrees(225, 45)) 

self.assertAlmostEqual(c.x(), d.x(), places=15) 

self.assertAlmostEqual(c.y(), d.y(), places=15) 

self.assertAlmostEqual(c.z(), d.z(), places=15) 

 

def testComparison(self): 

self.assertEqual(UnitVector3d.X(), UnitVector3d.X()) 

self.assertNotEqual(UnitVector3d.Y(), UnitVector3d.Z()) 

 

def testAccess(self): 

v = UnitVector3d.X() 

self.assertEqual(len(v), 3) 

self.assertEqual(v[0], 1) 

self.assertEqual(v[1], 0) 

self.assertEqual(v[2], 0) 

self.assertEqual(v[-3], 1) 

self.assertEqual(v[-2], 0) 

self.assertEqual(v[-1], 0) 

with self.assertRaises(IndexError): 

v[-4] 

with self.assertRaises(IndexError): 

v[3] 

 

def testDot(self): 

self.assertEqual(UnitVector3d.X().dot(UnitVector3d.Z()), 0) 

 

def testCross(self): 

self.assertEqual(UnitVector3d.X().cross(UnitVector3d.Y()), 

Vector3d(0, 0, 1)) 

self.assertEqual(UnitVector3d.X().robustCross(UnitVector3d.Y()), 

Vector3d(0, 0, 2)) 

 

def testArithmeticOperators(self): 

self.assertEqual(-UnitVector3d.X(), UnitVector3d(-1, 0, 0)) 

self.assertEqual(UnitVector3d.X() - UnitVector3d.X(), Vector3d(0, 0, 0)) 

self.assertEqual(UnitVector3d.X() + UnitVector3d(1, 0, 0), 

UnitVector3d.X() * 2) 

self.assertEqual(UnitVector3d.Y() - Vector3d(0, 0.5, 0), 

UnitVector3d.Y() / 2) 

self.assertEqual(UnitVector3d.Z().cwiseProduct(Vector3d(2, 3, 4)), 

Vector3d(0, 0, 4)) 

 

def testRotation(self): 

v = UnitVector3d.Y().rotatedAround(UnitVector3d.X(), 

Angle(0.5 * math.pi)) 

self.assertAlmostEqual(v.x(), 0.0, places=15) 

self.assertAlmostEqual(v.y(), 0.0, places=15) 

self.assertAlmostEqual(v.z(), 1.0, places=15) 

 

def testString(self): 

v = UnitVector3d.X() 

self.assertEqual(str(v), '[1.0, 0.0, 0.0]') 

self.assertEqual(repr(v), 'UnitVector3d(1.0, 0.0, 0.0)') 

self.assertEqual(v, eval(repr(v), dict(UnitVector3d=UnitVector3d))) 

 

def testPickle(self): 

v = UnitVector3d(1, 1, 1) 

w = pickle.loads(pickle.dumps(v, pickle.HIGHEST_PROTOCOL)) 

self.assertEqual(v, w) 

 

 

109 ↛ 110line 109 didn't jump to line 110, because the condition on line 109 was never trueif __name__ == '__main__': 

unittest.main()