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# This file is part of xrayutilities.
#
# xrayutilities 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 2 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 GNU General Public License
# along with this program; if not, see <http://www.gnu.org/licenses/>.
#
# Copyright (C) 2015-2020 Dominik Kriegner <dominik.kriegner@gmail.com>
import unittest
import numpy
import xrayutilities as xu
class TestTransforms(unittest.TestCase):
@classmethod
def setUpClass(cls):
cls.x = (1.0, 0.0, 0.0)
cls.y = (0.0, 1.0, 0.0)
cls.z = (0.0, 0.0, 1.0)
def test_Xrot(self):
xr = xu.math.XRotation(90)
for i in range(3):
self.assertAlmostEqual(xr(self.y)[i], self.z[i], places=10)
for i in range(3):
self.assertAlmostEqual(xr(self.z)[i], -self.y[i], places=10)
def test_Yrot(self):
yr = xu.math.YRotation(90)
for i in range(3):
self.assertAlmostEqual(yr(self.z)[i], self.x[i], places=10)
for i in range(3):
self.assertAlmostEqual(yr(self.x)[i], -self.z[i], places=10)
def test_Zrot(self):
zr = xu.math.ZRotation(90)
for i in range(3):
self.assertAlmostEqual(zr(self.x)[i], self.y[i], places=10)
for i in range(3):
self.assertAlmostEqual(zr(self.y)[i], -self.x[i], places=10)
def test_arbrot(self):
r = xu.math.rotarb
a = (1, 1, 1)
for i in range(3):
self.assertAlmostEqual(r(self.x, a, 120)[i], self.y[i], places=10)
for i in range(3):
self.assertAlmostEqual(r(self.z, a, 120)[i], self.x[i], places=10)
def test_Axis2Z(self):
a = numpy.random.rand(3)
a[2] = 2 # ensure non-zero vector
r = xu.math.AxisToZ(a)
for i in range(3):
self.assertAlmostEqual(
r(a)[i], self.z[i] * numpy.linalg.norm(a), places=10
)
r = xu.math.AxisToZ_keepXY(a)
for i in range(3):
self.assertAlmostEqual(
r(a)[i], self.z[i] * numpy.linalg.norm(a), places=10
)
# test inverse
for i in range(3):
self.assertAlmostEqual(
r.inverse(self.z)[i], a[i] / numpy.linalg.norm(a), places=10
)
if __name__ == "__main__":
unittest.main()
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