def test_trig_utilties(self):
"""Testing Vector2 cos() and sin() utilities"""
r2 = math.sqrt(2)
r3 = math.sqrt(3)
yr3 = y * r3
self.assertTrue(Vector2.close((x + y).cos(y), 1 / r2))
self.assertTrue(Vector2.close(x.cos(x + yr3), 0.5))
self.assertTrue(Vector2.close((x + y).sin(y), 1 / r2))
self.assertTrue(Vector2.close(x.sin(x + yr3), r3 / 2))
def test_angle(self):
"""Testing Vector2.angle()"""
dr = math.radians
for i in range(-179, +179): # anticlockwise angle from x
self.assertTrue(
Vector2.close(
x.angle(x * math.cos(dr(i)) + y * math.sin(dr(i))), dr(i)))
def test_close(self):
"""Testing Vector2.close()"""
self.assertFalse(Vector2.close(1, 2), 'Vector2.close() failed')
self.assertTrue(Vector2.close(1, 1 + 1e-100), 'Vector2.close() failed')
def test_smallestAngleToNormalPlane(self):
"""Testing Vector2.smallestAngleToNormalPlane()"""
dr = math.radians
# first vector is y, second vector is 0 degrees anti-clockwise from x axis
self.assertTrue(Vector2.close(dr(0), y.smallestAngleToNormalPlane(x)))
self.assertTrue(
Vector2.close(dr(+45), y.smallestAngleToNormalPlane(x + y))) # +45
self.assertTrue(Vector2.close(dr(+90),
y.smallestAngleToNormalPlane(y))) # +90
self.assertTrue(
Vector2.close(dr(+45),
y.smallestAngleToNormalPlane(-x + -y))) # +135
self.assertTrue(Vector2.close(
dr(0), y.smallestAngleToNormalPlane(-x))) # +180
self.assertTrue(
Vector2.close(dr(+45),
y.smallestAngleToNormalPlane(-x + -y))) # +225
self.assertTrue(
Vector2.close(dr(+90), y.smallestAngleToNormalPlane(-y))) # +270
self.assertTrue(
Vector2.close(dr(+45),
y.smallestAngleToNormalPlane(-x + -y))) # +315
self.assertTrue(Vector2.close(dr(0),
y.smallestAngleToNormalPlane(x))) # +360
p2 = math.pi / 2
p4 = math.pi / 4
# original tests
self.assertTrue(Vector2.close(y.smallestAngleToNormalPlane(y), p2))
self.assertTrue(Vector2.close(y.smallestAngleToNormalPlane(y * 2), p2))
self.assertTrue(Vector2.close(y.smallestAngleToNormalPlane(x), 0))
self.assertTrue(Vector2.close(y.smallestAngleToNormalPlane(-x), 0))
self.assertTrue(
Vector2.close((x + y).smallestAngleToNormalPlane(x), p4))
self.assertTrue(
Vector2.close((x - y).smallestAngleToNormalPlane(x), p4))
def test_close(self):
"""Testing Vector2.close()"""
self.assertTrue(Vector2.close(0, Vector2.closeRadius() / 2))