def test_is_scale(self):
"""Test that scale transformations are correctly identified"""
s1 = Transform(scale=(1.1, ))
s2 = Transform(scale=(1.3, 2.7))
s3 = Transform(scale=(sqrt(2) / 2, pi))
self.assertFalse(Transform(translate=1e-9).is_scale(exactly=True))
self.assertFalse(Transform(rotate=1e-9).is_scale(exactly=True))
self.assertFalse(Transform(skewx=1e-9).is_scale(exactly=True))
self.assertFalse(Transform(skewy=1e-9).is_scale(exactly=True))
self.assertTrue(Transform(translate=1e-9).is_scale(exactly=False))
self.assertTrue(Transform(rotate=1e-9).is_scale(exactly=False))
self.assertTrue(Transform(skewx=1e-9).is_scale(exactly=False))
self.assertTrue(Transform(skewy=1e-9).is_scale(exactly=False))
self.assertFalse(s1.is_translate())
self.assertFalse(s2.is_translate())
self.assertFalse(s3.is_translate())
self.assertFalse(s1.is_rotate())
self.assertFalse(s2.is_rotate())
self.assertFalse(s3.is_rotate())
self.assertTrue(s1.is_scale())
self.assertTrue(s2.is_scale())
self.assertTrue(s3.is_scale())
def test_is_rotation(self):
"""Test that rotations about origin are correctly identified"""
rot1 = Transform(rotate=21)
rot2 = Transform(rotate=35)
rot3 = Transform(rotate=53)
self.assertFalse(Transform(translate=1e-9).is_rotate(exactly=True))
self.assertFalse(Transform(scale=1 + 1e-9).is_rotate(exactly=True))
self.assertFalse(Transform(skewx=1e-9).is_rotate(exactly=True))
self.assertFalse(Transform(skewy=1e-9).is_rotate(exactly=True))
self.assertTrue(Transform(translate=1e-9).is_rotate(exactly=False))
self.assertTrue(Transform(scale=1 + 1e-9).is_rotate(exactly=False))
self.assertTrue(Transform(skewx=1e-9).is_rotate(exactly=False))
self.assertTrue(Transform(skewy=1e-9).is_rotate(exactly=False))
self.assertTrue(rot1.is_rotate())
self.assertTrue(rot2.is_rotate())
self.assertTrue(rot3.is_rotate())
self.assertFalse(rot1.is_translate())
self.assertFalse(rot2.is_translate())
self.assertFalse(rot3.is_translate())
self.assertFalse(rot1.is_scale())
self.assertFalse(rot2.is_scale())
self.assertFalse(rot3.is_scale())
self.assertTrue((rot1 * rot1).is_rotate())
self.assertTrue((rot1 * rot2).is_rotate())
self.assertTrue((rot1 * rot2 * rot3 * rot2 * rot1).is_rotate())
def test_is_translate(self):
"""Test that translations are correctly identified"""
tr1 = Transform(translate=(1.1, ))
tr2 = Transform(translate=(1.3, 2.7))
tr3 = Transform(translate=(sqrt(2) / 2, pi))
self.assertFalse(Transform(rotate=1e-9).is_translate(exactly=True))
self.assertFalse(Transform(scale=1 + 1e-9).is_translate(exactly=True))
self.assertFalse(Transform(skewx=1e-9).is_translate(exactly=True))
self.assertFalse(Transform(skewy=1e-9).is_translate(exactly=True))
self.assertTrue(Transform(rotate=1e-9).is_translate(exactly=False))
self.assertTrue(Transform(scale=1 + 1e-9).is_translate(exactly=False))
self.assertTrue(Transform(skewx=1e-9).is_translate(exactly=False))
self.assertTrue(Transform(skewy=1e-9).is_translate(exactly=False))
self.assertTrue(tr1.is_translate())
self.assertTrue(tr2.is_translate())
self.assertTrue(tr3.is_translate())
self.assertFalse(tr1.is_rotate())
self.assertFalse(tr2.is_rotate())
self.assertFalse(tr3.is_rotate())
self.assertFalse(tr1.is_scale())
self.assertFalse(tr2.is_scale())
self.assertFalse(tr3.is_scale())
self.assertTrue((tr1 * tr1).is_translate())
self.assertTrue((tr1 * tr2).is_translate())
self.assertTrue((tr1 * tr2 * tr3 * tr2 * tr1).is_translate())
self.assertFalse(tr1 * tr2 * tr3 * -tr1 * -tr2 *
-tr3) # is almost unity
def test_is_unity(self):
"""Test that unix matrix looks like rotate, scale, and translate"""
unity = Transform()
self.assertTrue(unity.is_rotate())
self.assertTrue(unity.is_scale())
self.assertTrue(unity.is_translate())
