test_SOn.py

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"""
GTSAM Copyright 2010-2019, Georgia Tech Research Corporation,
Atlanta, Georgia 30332-0415
All Rights Reserved
 
See LICENSE for the license information
 
Dynamic SO(n) unit tests.
Author: Frank Dellaert
"""
# pylint: disable=no-name-in-module, import-error
import unittest
 
import numpy as np
from gtsam import SOn
 
I4 = SOn(4)
v1 = np.array([0, 0, 0, .1, 0, 0])
v2 = np.array([0, 0, 0, 0.01, 0.02, 0.03])
Q1 = I4.retract(v1)
Q2 = I4.retract(v2)
 
 
class TestSO4(unittest.TestCase):
    """Test selected SOn methods."""
 
    def test_constructor(self):
        """Construct from matrix."""
        matrix = np.eye(4)
        so4 = SOn.FromMatrix(matrix)
        self.assertIsInstance(so4, SOn)
 
    def test_retract(self):
        """Test retraction to manifold."""
        v = np.zeros((6,), float)
        actual = I4.retract(v)
        self.assertTrue(actual.equals(I4, 1e-9))
 
    def test_local(self):
        """Check localCoordinates for trivial case."""
        v0 = np.zeros((6,), float)
        actual = I4.localCoordinates(I4)
        np.testing.assert_array_almost_equal(actual, v0)
 
    def test_compose(self):
        """Check compose works in subgroup."""
        expected = I4.retract(2*v1)
        actual = Q1.compose(Q1)
        self.assertTrue(actual.equals(expected, 1e-3)) # not exmap so only approximate
 
    def test_vec(self):
        """Check wrapping of vec."""
        expected = np.array([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1])
        actual = I4.vec()
        np.testing.assert_array_equal(actual, expected)
 
 
if __name__ == "__main__":
    unittest.main()