test_rotmat.py

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#!/usr/bin/env python


"""
Unit tests for the rotmat library
"""

from __future__ import absolute_import, division, print_function
from math import radians, degrees
import unittest
import random
import numpy as np

from pymavlink.rotmat import Vector3, Matrix3, Plane, Line

class VectorTest(unittest.TestCase):

    """
    Class to test Vector3
    """

    def __init__(self, *args, **kwargs):
        """Constructor, set up some data that is reused in many tests"""
        super(VectorTest, self).__init__(*args, **kwargs)


    def test_constructor(self):
        """Test the constructor functionality"""
        v1 = Vector3(1, 0.2, -3)
        v2 = Vector3([1, 0.2, -3])
        v3 = Vector3([1, 0.3, -3])

        assert v1 == v2
        assert v1 != v3
        assert str(v1) == "Vector3(1.00, 0.20, -3.00)"


    def test_maths(self):
        """Test simple maths"""
        v1 = Vector3(1, 2, -3)
        v2 = Vector3(1, 3, 3)

        assert v1 + v2 == Vector3(2, 5, 0)
        assert v1 - v2 == Vector3(0, -1, -6)
        assert (v1 * 3) == Vector3(3, 6, -9)
        assert v1 * v2 == -2

        assert v1 % v2 == Vector3(15.00, -6.00, 1.00)
        np.testing.assert_almost_equal(v2.length(), 4.358898943540674)
        assert v2.normalized().close(Vector3(0.23, 0.69, 0.69), tol=1e-2)
        np.testing.assert_almost_equal(v1.angle(v2), 1.693733631245806)


class MatrixTest(unittest.TestCase):

    """
    Class to test Matrix3
    """

    def __init__(self, *args, **kwargs):
        """Constructor, set up some data that is reused in many tests"""
        super(MatrixTest, self).__init__(*args, **kwargs)

    def test_constructor(self):
        """Test the constructor functionality"""
        m1 = Matrix3(Vector3(1, 0, 0), Vector3(1, 5, 0), Vector3(1, 0, -7))
        m2 = Matrix3()

        assert str(m1) == 'Matrix3((1.00, 0.00, 0.00), (1.00, 5.00, 0.00), (1.00, 0.00, -7.00))'
        assert str(m2) == 'Matrix3((1.00, 0.00, 0.00), (0.00, 1.00, 0.00), (0.00, 0.00, 1.00))'

    def test_maths(self):
        m1 = Matrix3(Vector3(1, 0, 0), Vector3(1, 5, 0), Vector3(1, 0, -7))
        m2 = Matrix3()

        assert m1 + m2 == Matrix3(Vector3(2, 0, 0), Vector3(1, 6, 0), Vector3(1, 0, -6))
        assert m1 - m2 == Matrix3(Vector3(0, 0, 0), Vector3(1, 4, 0), Vector3(1, 0, -8))
        assert m1 * 3 == Matrix3(Vector3(3, 0, 0), Vector3(3, 15, 0), Vector3(3, 0, -21))
        assert m1 * m1 == Matrix3(Vector3(1, 0, 0), Vector3(6, 25, 0), Vector3(-6, 0, 49))
        assert m1.transposed() == Matrix3(Vector3(1, 1, 1), Vector3(0, 5, 0), Vector3(0, 0, -7))

    def test_euler(self):
        '''check that from_euler() and to_euler() are consistent'''
        m = Matrix3()
        for r in range(-179, 179, 10):
            for p in range(-89, 89, 10):
                for y in range(-179, 179, 10):
                    m.from_euler(radians(r), radians(p), radians(y))
                    (r2, p2, y2) = m.to_euler()
                    v1 = Vector3(r, p, y)
                    v2 = Vector3(degrees(r2), degrees(p2), degrees(y2))
                    diff = v1 - v2
                    assert diff.length() < 1.0e-12

    def test_euler312(self):
        '''check that from_euler312() and to_euler312() are consistent'''
        m = Matrix3()
        for r in range(-89, 89, 10):
            for p in range(-179, 179, 10):
                for y in range(-179, 179, 10):
                    m.from_euler312(radians(r), radians(p), radians(y))
                    (r2, p2, y2) = m.to_euler312()
                    v1 = Vector3(r, p, y)
                    v2 = Vector3(degrees(r2), degrees(p2), degrees(y2))
                    diff = v1 - v2
                    assert diff.length() < 1.0e-12

    def test_matrixops(self):
        m1 = Matrix3(Vector3(1, 0, 0), Vector3(1, 5, 0), Vector3(1, 0, -7))

        m1.normalize()
        print(m1)
        assert m1.close(Matrix3(Vector3(0.2, -0.98, 0), Vector3(0.1, 1, 0), Vector3(0, 0, 1)), tol=1e-2)
        np.testing.assert_almost_equal(m1.trace(), 2.19115332535)

        m1.rotate(Vector3(0.2,-0.98,0))
        assert m1.close(Matrix3(Vector3(0.2,-0.98,0), Vector3(0.1,1,-0.3), Vector3(0.98,0.2,1)), tol=1e-2)

    def test_axisangle(self):
        axis = Vector3(0, 1, 0)
        angle = radians(45)

        m1 = Matrix3()
        m1.from_axis_angle(axis, angle)
        #print(m1)
        assert m1.close(Matrix3(Vector3(0.71, 0.00, 0.71),
                                         Vector3(0.00, 1.00, 0.00),
                                         Vector3(-0.71, 0.00, 0.71)), tol=1e-2)

    def test_two_vectors(self):
        '''test the from_two_vectors() method'''
        for i in range(100):
            v1 = Vector3(1, 0.2, -3)
            v2 = Vector3(random.uniform(-5, 5), random.uniform(-5, 5), random.uniform(-5, 5))
            m = Matrix3()
            m.from_two_vectors(v1, v2)
            v3 = m * v1
            diff = v3.normalized() - v2.normalized()
            (r, p, y) = m.to_euler()
            assert diff.length() < 0.001


class LinePlaneTest(unittest.TestCase):

    """
    Class to test Line and Plane classes
    """

    def __init__(self, *args, **kwargs):
        """Constructor, set up some data that is reused in many tests"""
        super(LinePlaneTest, self).__init__(*args, **kwargs)

    def test_plane(self):
        '''testing line/plane intersection'''
        plane = Plane(Vector3(0, 0, 0), Vector3(0, 0, 1))
        line = Line(Vector3(0, 0, 100), Vector3(10, 10, -90))
        p = line.plane_intersection(plane)
        assert p.close(Vector3(11.11, 11.11, 0.00), tol=1e-2)

if __name__ == '__main__':
    unittest.main()