File: test_SVDSuperimposer.py

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# Copyright 2017 by Maximilian Greil.  All rights reserved.
# This code is part of the Biopython distribution and governed by its
# license.  Please see the LICENSE file that should have been included
# as part of this package.

import unittest

try:
    from numpy import array
    from numpy import dot  # missing in old PyPy's micronumpy
    from numpy import array_equal
    from numpy import around
    from numpy.linalg import svd, det  # Missing in PyPy 2.0 numpypy
except ImportError:
    from Bio import MissingPythonDependencyError
    raise MissingPythonDependencyError(
        "Install NumPy if you want to use Bio.SVDSuperimposer.")

from Bio.SVDSuperimposer import SVDSuperimposer


class SVDSuperimposerTest(unittest.TestCase):

    def setUp(self):
        self.x = array([[51.65, -1.90, 50.07],
                        [50.40, -1.23, 50.65],
                        [50.68, -0.04, 51.54],
                        [50.22, -0.02, 52.85]])

        self.y = array([[51.30, -2.99, 46.54],
                        [51.09, -1.88, 47.58],
                        [52.36, -1.20, 48.03],
                        [52.71, -1.18, 49.38]])

        self.sup = SVDSuperimposer()
        self.sup.set(self.x, self.y)

    def test_get_init_rms(self):
        x = array([[1.19, 1.28, 1.37],
                   [1.46, 1.55, 1.64],
                   [1.73, 1.82, 1.91]])
        y = array([[1.91, 1.82, 1.73],
                   [1.64, 1.55, 1.46],
                   [1.37, 1.28, 1.19]])
        self.sup.set(x, y)
        self.assertIsNone(self.sup.init_rms)
        init_rms = 0.8049844719
        self.assertTrue(
            float('%.3f' % self.sup.get_init_rms()), float('%.3f' % init_rms))

    def test_oldTest(self):
        self.assertTrue(
            array_equal(around(self.sup.reference_coords, decimals=3), around(self.x, decimals=3)))
        self.assertTrue(
            array_equal(around(self.sup.coords, decimals=3), around(self.y, decimals=3)))
        self.assertIsNone(self.sup.rot)
        self.assertIsNone(self.sup.tran)
        self.assertIsNone(self.sup.rms)
        self.assertIsNone(self.sup.init_rms)

        self.sup.run()
        self.assertTrue(
            array_equal(around(self.sup.reference_coords, decimals=3), around(self.x, decimals=3)))
        self.assertTrue(
            array_equal(around(self.sup.coords, decimals=3), around(self.y, decimals=3)))
        rot = array([[0.68304983, 0.53664371, 0.49543563],
                     [-0.52277295, 0.83293229, -0.18147242],
                     [-0.51005037, -0.13504564, 0.84947707]])
        tran = array([38.78608157, -20.65451334, -15.42227366])
        self.assertTrue(
            array_equal(around(self.sup.rot, decimals=3), around(rot, decimals=3)))
        self.assertTrue(
            array_equal(around(self.sup.tran, decimals=3), around(tran, decimals=3)))
        self.assertIsNone(self.sup.rms)
        self.assertIsNone(self.sup.init_rms)

        rms = 0.00304266526014
        self.assertEqual(
            float('%.3f' % self.sup.get_rms()), float('%.3f' % rms))

        rot_get, tran_get = self.sup.get_rotran()
        self.assertTrue(
            array_equal(around(rot_get, decimals=3), around(rot, decimals=3)))
        self.assertTrue(
            array_equal(around(tran_get, decimals=3), around(tran, decimals=3)))

        y_on_x1 = dot(self.y, rot) + tran
        y_x_solution = array(
            [[5.16518846e+01, -1.90018270e+00, 5.00708397e+01],
             [5.03977138e+01, -1.22877050e+00, 5.06488200e+01],
             [5.06801788e+01, -4.16095666e-02, 5.15368866e+01],
             [5.02202228e+01, -1.94372374e-02, 5.28534537e+01]])
        self.assertTrue(
            array_equal(around(y_on_x1, decimals=3), around(y_x_solution, decimals=3)))

        y_on_x2 = self.sup.get_transformed()
        self.assertTrue(
            array_equal(around(y_on_x2, decimals=3), around(y_x_solution, decimals=3)))


if __name__ == "__main__":
    runner = unittest.TextTestRunner(verbosity=2)
    unittest.main(testRunner=runner)