import math import platform import unittest from collections.abc import Collection, Sequence import pygame.math from pygame.math import Vector2, Vector3 IS_PYPY = "PyPy" == platform.python_implementation() class MathModuleTest(unittest.TestCase): """Math module tests.""" def test_lerp(self): result = pygame.math.lerp(10, 100, 0.5) # 55.0 self.assertAlmostEqual(result, 55.0) result = pygame.math.lerp(10, 100, 0.0) # 10 self.assertAlmostEqual(result, 10.0) result = pygame.math.lerp(10, 100, 1.0) # 100 self.assertAlmostEqual(result, 100.0) # Not enough args self.assertRaises(TypeError, pygame.math.lerp, 1) # Wrong arg type self.assertRaises(TypeError, pygame.math.lerp, "str", "str", "str") # Percent outside range [0, 1] self.assertRaises(ValueError, pygame.math.lerp, 10, 100, 1.1) self.assertRaises(ValueError, pygame.math.lerp, 10, 100, -0.5) def test_clamp(self): """Test clamp function.""" # Int tests # Test going above max result = pygame.math.clamp(10, 1, 5) self.assertEqual(result, 5) # Test going below min result = pygame.math.clamp(-10, 1, 5) self.assertEqual(result, 1) # Test equal to max result = pygame.math.clamp(5, 1, 5) self.assertEqual(result, 5) # Test equal to min result = pygame.math.clamp(1, 1, 5) self.assertEqual(result, 1) # Test between min and max result = pygame.math.clamp(3, 1, 5) self.assertEqual(result, 3) # Float tests # Test going above max result = pygame.math.clamp(10.0, 1.12, 5.0) self.assertAlmostEqual(result, 5.0) # Test going below min result = pygame.math.clamp(-10.0, 1.12, 5.0) self.assertAlmostEqual(result, 1.12) # Test equal to max result = pygame.math.clamp(5.0, 1.12, 5.0) self.assertAlmostEqual(result, 5.0) # Test equal to min result = pygame.math.clamp(1.12, 1.12, 5.0) self.assertAlmostEqual(result, 1.12) # Test between min and max result = pygame.math.clamp(2.5, 1.12, 5.0) self.assertAlmostEqual(result, 2.5) # Error tests # Not enough args self.assertRaises(TypeError, pygame.math.clamp, 10) # Non numeric args self.assertRaises(TypeError, pygame.math.clamp, "hello", "py", "thon") class Vector2TypeTest(unittest.TestCase): def setUp(self): self.zeroVec = Vector2() self.e1 = Vector2(1, 0) self.e2 = Vector2(0, 1) self.t1 = (1.2, 3.4) self.l1 = list(self.t1) self.v1 = Vector2(self.t1) self.t2 = (5.6, 7.8) self.l2 = list(self.t2) self.v2 = Vector2(self.t2) self.s1 = 5.6 self.s2 = 7.8 def testConstructionDefault(self): v = Vector2() self.assertEqual(v.x, 0.0) self.assertEqual(v.y, 0.0) def testConstructionScalar(self): v = Vector2(1) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 1.0) def testConstructionScalarKeywords(self): v = Vector2(x=1) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 1.0) def testConstructionKeywords(self): v = Vector2(x=1, y=2) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 2.0) def testConstructionXY(self): v = Vector2(1.2, 3.4) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) def testConstructionTuple(self): v = Vector2((1.2, 3.4)) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) def testConstructionList(self): v = Vector2([1.2, 3.4]) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) def testConstructionVector2(self): v = Vector2(Vector2(1.2, 3.4)) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) def testAttributeAccess(self): tmp = self.v1.x self.assertEqual(tmp, self.v1.x) self.assertEqual(tmp, self.v1[0]) tmp = self.v1.y self.assertEqual(tmp, self.v1.y) self.assertEqual(tmp, self.v1[1]) self.v1.x = 3.141 self.assertEqual(self.v1.x, 3.141) self.v1.y = 3.141 self.assertEqual(self.v1.y, 3.141) def assign_nonfloat(): v = Vector2() v.x = "spam" self.assertRaises(TypeError, assign_nonfloat) def test___round___basic(self): self.assertEqual(round(pygame.Vector2(0.0, 0.0)), pygame.Vector2(0.0, 0.0)) self.assertEqual(type(round(pygame.Vector2(0.0, 0.0))), pygame.Vector2) self.assertEqual( round(pygame.Vector2(1.0, 1.0)), round(pygame.Vector2(1.0, 1.0)) ) self.assertEqual( round(pygame.Vector2(10.0, 10.0)), round(pygame.Vector2(10.0, 10.0)) ) self.assertEqual( round(pygame.Vector2(1000000000.0, 1000000000.0)), pygame.Vector2(1000000000.0, 1000000000.0), ) self.assertEqual(round(pygame.Vector2(1e20, 1e20)), pygame.Vector2(1e20, 1e20)) self.assertEqual(round(pygame.Vector2(-1.0, -1.0)), pygame.Vector2(-1.0, -1.0)) self.assertEqual( round(pygame.Vector2(-10.0, -10.0)), pygame.Vector2(-10.0, -10.0) ) self.assertEqual( round(pygame.Vector2(-1000000000.0, -1000000000.0)), pygame.Vector2(-1000000000.0, -1000000000.0), ) self.assertEqual( round(pygame.Vector2(-1e20, -1e20)), pygame.Vector2(-1e20, -1e20) ) self.assertEqual(round(pygame.Vector2(0.1, 0.1)), pygame.Vector2(0.0, 0.0)) self.assertEqual(round(pygame.Vector2(1.1, 1.1)), pygame.Vector2(1.0, 1.0)) self.assertEqual(round(pygame.Vector2(10.1, 10.1)), pygame.Vector2(10.0, 10.0)) self.assertEqual( round(pygame.Vector2(1000000000.1, 1000000000.1)), pygame.Vector2(1000000000.0, 1000000000.0), ) self.assertEqual(round(pygame.Vector2(-1.1, -1.1)), pygame.Vector2(-1.0, -1.0)) self.assertEqual( round(pygame.Vector2(-10.1, -10.1)), pygame.Vector2(-10.0, -10.0) ) self.assertEqual( round(pygame.Vector2(-1000000000.1, -1000000000.1)), pygame.Vector2(-1000000000.0, -1000000000.0), ) self.assertEqual(round(pygame.Vector2(0.9, 0.9)), pygame.Vector2(1.0, 1.0)) self.assertEqual(round(pygame.Vector2(9.9, 9.9)), pygame.Vector2(10.0, 10.0)) self.assertEqual( round(pygame.Vector2(999999999.9, 999999999.9)), pygame.Vector2(1000000000.0, 1000000000.0), ) self.assertEqual(round(pygame.Vector2(-0.9, -0.9)), pygame.Vector2(-1.0, -1.0)) self.assertEqual( round(pygame.Vector2(-9.9, -9.9)), pygame.Vector2(-10.0, -10.0) ) self.assertEqual( round(pygame.Vector2(-999999999.9, -999999999.9)), pygame.Vector2(-1000000000.0, -1000000000.0), ) self.assertEqual( round(pygame.Vector2(-8.0, -8.0), -1), pygame.Vector2(-10.0, -10.0) ) self.assertEqual(type(round(pygame.Vector2(-8.0, -8.0), -1)), pygame.Vector2) self.assertEqual(type(round(pygame.Vector2(-8.0, -8.0), 0)), pygame.Vector2) self.assertEqual(type(round(pygame.Vector2(-8.0, -8.0), 1)), pygame.Vector2) # Check even / odd rounding behaviour self.assertEqual(round(pygame.Vector2(5.5, 5.5)), pygame.Vector2(6, 6)) self.assertEqual(round(pygame.Vector2(5.4, 5.4)), pygame.Vector2(5.0, 5.0)) self.assertEqual(round(pygame.Vector2(5.6, 5.6)), pygame.Vector2(6.0, 6.0)) self.assertEqual(round(pygame.Vector2(-5.5, -5.5)), pygame.Vector2(-6, -6)) self.assertEqual(round(pygame.Vector2(-5.4, -5.4)), pygame.Vector2(-5, -5)) self.assertEqual(round(pygame.Vector2(-5.6, -5.6)), pygame.Vector2(-6, -6)) self.assertRaises(TypeError, round, pygame.Vector2(1.0, 1.0), 1.5) self.assertRaises(TypeError, round, pygame.Vector2(1.0, 1.0), "a") def testCopy(self): v_copy0 = Vector2(2004.0, 2022.0) v_copy1 = v_copy0.copy() self.assertEqual(v_copy0.x, v_copy1.x) self.assertEqual(v_copy0.y, v_copy1.y) def test_move_towards_basic(self): expected = Vector2(8.08, 2006.87) origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) change_ip = Vector2(7.22, 2004.0) change = origin.move_towards(target, 3) change_ip.move_towards_ip(target, 3) self.assertEqual(round(change.x, 2), expected.x) self.assertEqual(round(change.y, 2), expected.y) self.assertEqual(round(change_ip.x, 2), expected.x) self.assertEqual(round(change_ip.y, 2), expected.y) def test_move_towards_max_distance(self): expected = Vector2(12.30, 2021) origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) change_ip = Vector2(7.22, 2004.0) change = origin.move_towards(target, 25) change_ip.move_towards_ip(target, 25) self.assertEqual(round(change.x, 2), expected.x) self.assertEqual(round(change.y, 2), expected.y) self.assertEqual(round(change_ip.x, 2), expected.x) self.assertEqual(round(change_ip.y, 2), expected.y) def test_move_nowhere(self): expected = Vector2(7.22, 2004.0) origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) change_ip = Vector2(7.22, 2004.0) change = origin.move_towards(target, 0) change_ip.move_towards_ip(target, 0) self.assertEqual(round(change.x, 2), expected.x) self.assertEqual(round(change.y, 2), expected.y) self.assertEqual(round(change_ip.x, 2), expected.x) self.assertEqual(round(change_ip.y, 2), expected.y) def test_move_away(self): expected = Vector2(6.36, 2001.13) origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) change_ip = Vector2(7.22, 2004.0) change = origin.move_towards(target, -3) change_ip.move_towards_ip(target, -3) self.assertEqual(round(change.x, 2), expected.x) self.assertEqual(round(change.y, 2), expected.y) self.assertEqual(round(change_ip.x, 2), expected.x) self.assertEqual(round(change_ip.y, 2), expected.y) def test_move_towards_self(self): vec = Vector2(6.36, 2001.13) vec2 = vec.copy() for dist in (-3.54, -1, 0, 0.234, 12): self.assertEqual(vec.move_towards(vec2, dist), vec) vec2.move_towards_ip(vec, dist) self.assertEqual(vec, vec2) def test_move_towards_errors(self): def overpopulate(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards(target, 3, 2) def overpopulate_ip(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards_ip(target, 3, 2) def invalid_types1(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards(target, "novial") def invalid_types_ip1(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards_ip(target, "is") def invalid_types2(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards("kinda", 3) def invalid_types_ip2(): origin = Vector2(7.22, 2004.0) target = Vector2(12.30, 2021.0) origin.move_towards_ip("cool", 3) self.assertRaises(TypeError, overpopulate) self.assertRaises(TypeError, overpopulate_ip) self.assertRaises(TypeError, invalid_types1) self.assertRaises(TypeError, invalid_types_ip1) self.assertRaises(TypeError, invalid_types2) self.assertRaises(TypeError, invalid_types_ip2) def testSequence(self): v = Vector2(1.2, 3.4) Vector2()[:] self.assertEqual(len(v), 2) self.assertEqual(v[0], 1.2) self.assertEqual(v[1], 3.4) self.assertRaises(IndexError, lambda: v[2]) self.assertEqual(v[-1], 3.4) self.assertEqual(v[-2], 1.2) self.assertRaises(IndexError, lambda: v[-3]) self.assertEqual(v[:], [1.2, 3.4]) self.assertEqual(v[1:], [3.4]) self.assertEqual(v[:1], [1.2]) self.assertEqual(list(v), [1.2, 3.4]) self.assertEqual(tuple(v), (1.2, 3.4)) v[0] = 5.6 v[1] = 7.8 self.assertEqual(v.x, 5.6) self.assertEqual(v.y, 7.8) v[:] = [9.1, 11.12] self.assertEqual(v.x, 9.1) self.assertEqual(v.y, 11.12) def overpopulate(): v = Vector2() v[:] = [1, 2, 3] self.assertRaises(ValueError, overpopulate) def underpopulate(): v = Vector2() v[:] = [1] self.assertRaises(ValueError, underpopulate) def assign_nonfloat(): v = Vector2() v[0] = "spam" self.assertRaises(TypeError, assign_nonfloat) def testExtendedSlicing(self): # deletion def delSlice(vec, start=None, stop=None, step=None): if start is not None and stop is not None and step is not None: del vec[start:stop:step] elif start is not None and stop is None and step is not None: del vec[start::step] elif start is None and stop is None and step is not None: del vec[::step] v = Vector2(self.v1) self.assertRaises(TypeError, delSlice, v, None, None, 2) self.assertRaises(TypeError, delSlice, v, 1, None, 2) self.assertRaises(TypeError, delSlice, v, 1, 2, 1) # assignment v = Vector2(self.v1) v[::2] = [-1] self.assertEqual(v, [-1, self.v1.y]) v = Vector2(self.v1) v[::-2] = [10] self.assertEqual(v, [self.v1.x, 10]) v = Vector2(self.v1) v[::-1] = v self.assertEqual(v, [self.v1.y, self.v1.x]) a = Vector2(self.v1) b = Vector2(self.v1) c = Vector2(self.v1) a[1:2] = [2.2] b[slice(1, 2)] = [2.2] c[1:2:] = (2.2,) self.assertEqual(a, b) self.assertEqual(a, c) self.assertEqual(type(a), type(self.v1)) self.assertEqual(type(b), type(self.v1)) self.assertEqual(type(c), type(self.v1)) def test_contains(self): c = Vector2(0, 1) # call __contains__ explicitly to test that it is defined self.assertTrue(c.__contains__(0)) self.assertTrue(0 in c) self.assertTrue(1 in c) self.assertTrue(2 not in c) self.assertFalse(c.__contains__(2)) self.assertRaises(TypeError, lambda: "string" in c) self.assertRaises(TypeError, lambda: 3 + 4j in c) def testAdd(self): v3 = self.v1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.v2.x) self.assertEqual(v3.y, self.v1.y + self.v2.y) v3 = self.v1 + self.t2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.t2[0]) self.assertEqual(v3.y, self.v1.y + self.t2[1]) v3 = self.v1 + self.l2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.l2[0]) self.assertEqual(v3.y, self.v1.y + self.l2[1]) v3 = self.t1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.t1[0] + self.v2.x) self.assertEqual(v3.y, self.t1[1] + self.v2.y) v3 = self.l1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.l1[0] + self.v2.x) self.assertEqual(v3.y, self.l1[1] + self.v2.y) def testSub(self): v3 = self.v1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.v2.x) self.assertEqual(v3.y, self.v1.y - self.v2.y) v3 = self.v1 - self.t2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.t2[0]) self.assertEqual(v3.y, self.v1.y - self.t2[1]) v3 = self.v1 - self.l2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.l2[0]) self.assertEqual(v3.y, self.v1.y - self.l2[1]) v3 = self.t1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.t1[0] - self.v2.x) self.assertEqual(v3.y, self.t1[1] - self.v2.y) v3 = self.l1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.l1[0] - self.v2.x) self.assertEqual(v3.y, self.l1[1] - self.v2.y) def testScalarMultiplication(self): v = self.s1 * self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.s1 * self.v1.x) self.assertEqual(v.y, self.s1 * self.v1.y) v = self.v1 * self.s2 self.assertEqual(v.x, self.v1.x * self.s2) self.assertEqual(v.y, self.v1.y * self.s2) def testScalarDivision(self): v = self.v1 / self.s1 self.assertTrue(isinstance(v, type(self.v1))) self.assertAlmostEqual(v.x, self.v1.x / self.s1) self.assertAlmostEqual(v.y, self.v1.y / self.s1) v = self.v1 // self.s2 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.v1.x // self.s2) self.assertEqual(v.y, self.v1.y // self.s2) def testBool(self): self.assertEqual(bool(self.zeroVec), False) self.assertEqual(bool(self.v1), True) self.assertTrue(not self.zeroVec) self.assertTrue(self.v1) def testUnary(self): v = +self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.v1.x) self.assertEqual(v.y, self.v1.y) self.assertNotEqual(id(v), id(self.v1)) v = -self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, -self.v1.x) self.assertEqual(v.y, -self.v1.y) self.assertNotEqual(id(v), id(self.v1)) def testCompare(self): int_vec = Vector2(3, -2) flt_vec = Vector2(3.0, -2.0) zero_vec = Vector2(0, 0) self.assertEqual(int_vec == flt_vec, True) self.assertEqual(int_vec != flt_vec, False) self.assertEqual(int_vec != zero_vec, True) self.assertEqual(flt_vec == zero_vec, False) self.assertEqual(int_vec == (3, -2), True) self.assertEqual(int_vec != (3, -2), False) self.assertEqual(int_vec != [0, 0], True) self.assertEqual(int_vec == [0, 0], False) self.assertEqual(int_vec != 5, True) self.assertEqual(int_vec == 5, False) self.assertEqual(int_vec != [3, -2, 0], True) self.assertEqual(int_vec == [3, -2, 0], False) def testStr(self): v = Vector2(1.2, 3.4) self.assertEqual(str(v), "[1.2, 3.4]") def testRepr(self): v = Vector2(1.2, 3.4) self.assertEqual(v.__repr__(), "") self.assertEqual(v, Vector2(v.__repr__())) def testIter(self): it = self.v1.__iter__() next_ = it.__next__ self.assertEqual(next_(), self.v1[0]) self.assertEqual(next_(), self.v1[1]) self.assertRaises(StopIteration, lambda: next_()) it1 = self.v1.__iter__() it2 = self.v1.__iter__() self.assertNotEqual(id(it1), id(it2)) self.assertEqual(id(it1), id(it1.__iter__())) self.assertEqual(list(it1), list(it2)) self.assertEqual(list(self.v1.__iter__()), self.l1) idx = 0 for val in self.v1: self.assertEqual(val, self.v1[idx]) idx += 1 def test_rotate(self): v1 = Vector2(1, 0) v2 = v1.rotate(90) v3 = v1.rotate(90 + 360) self.assertEqual(v1.x, 1) self.assertEqual(v1.y, 0) self.assertEqual(v2.x, 0) self.assertEqual(v2.y, 1) self.assertEqual(v3.x, v2.x) self.assertEqual(v3.y, v2.y) v1 = Vector2(-1, -1) v2 = v1.rotate(-90) self.assertEqual(v2.x, -1) self.assertEqual(v2.y, 1) v2 = v1.rotate(360) self.assertEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) v2 = v1.rotate(0) self.assertEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) # issue 214 self.assertEqual(Vector2(0, 1).rotate(359.99999999), Vector2(0, 1)) def test_rotate_rad(self): tests = ( ((1, 0), math.pi), ((1, 0), math.pi / 2), ((1, 0), -math.pi / 2), ((1, 0), math.pi / 4), ) for initialVec, radians in tests: self.assertEqual( Vector2(initialVec).rotate_rad(radians), (math.cos(radians), math.sin(radians)), ) def test_rotate_ip(self): v = Vector2(1, 0) self.assertEqual(v.rotate_ip(90), None) self.assertEqual(v.x, 0) self.assertEqual(v.y, 1) v = Vector2(-1, -1) v.rotate_ip(-90) self.assertEqual(v.x, -1) self.assertEqual(v.y, 1) def test_rotate_rad_ip(self): tests = ( ((1, 0), math.pi), ((1, 0), math.pi / 2), ((1, 0), -math.pi / 2), ((1, 0), math.pi / 4), ) for initialVec, radians in tests: vec = Vector2(initialVec) vec.rotate_rad_ip(radians) self.assertEqual(vec, (math.cos(radians), math.sin(radians))) def test_normalize(self): v = self.v1.normalize() # length is 1 self.assertAlmostEqual(v.x * v.x + v.y * v.y, 1.0) # v1 is unchanged self.assertEqual(self.v1.x, self.l1[0]) self.assertEqual(self.v1.y, self.l1[1]) # v2 is parallel to v1 self.assertAlmostEqual(self.v1.x * v.y - self.v1.y * v.x, 0.0) self.assertRaises(ValueError, lambda: self.zeroVec.normalize()) def test_normalize_ip(self): v = +self.v1 # v has length != 1 before normalizing self.assertNotEqual(v.x * v.x + v.y * v.y, 1.0) # inplace operations should return None self.assertEqual(v.normalize_ip(), None) # length is 1 self.assertAlmostEqual(v.x * v.x + v.y * v.y, 1.0) # v2 is parallel to v1 self.assertAlmostEqual(self.v1.x * v.y - self.v1.y * v.x, 0.0) self.assertRaises(ValueError, lambda: self.zeroVec.normalize_ip()) def test_is_normalized(self): self.assertEqual(self.v1.is_normalized(), False) v = self.v1.normalize() self.assertEqual(v.is_normalized(), True) self.assertEqual(self.e2.is_normalized(), True) self.assertEqual(self.zeroVec.is_normalized(), False) def test_cross(self): self.assertEqual( self.v1.cross(self.v2), self.v1.x * self.v2.y - self.v1.y * self.v2.x ) self.assertEqual( self.v1.cross(self.l2), self.v1.x * self.l2[1] - self.v1.y * self.l2[0] ) self.assertEqual( self.v1.cross(self.t2), self.v1.x * self.t2[1] - self.v1.y * self.t2[0] ) self.assertEqual(self.v1.cross(self.v2), -self.v2.cross(self.v1)) self.assertEqual(self.v1.cross(self.v1), 0) def test_dot(self): self.assertAlmostEqual( self.v1.dot(self.v2), self.v1.x * self.v2.x + self.v1.y * self.v2.y ) self.assertAlmostEqual( self.v1.dot(self.l2), self.v1.x * self.l2[0] + self.v1.y * self.l2[1] ) self.assertAlmostEqual( self.v1.dot(self.t2), self.v1.x * self.t2[0] + self.v1.y * self.t2[1] ) self.assertEqual(self.v1.dot(self.v2), self.v2.dot(self.v1)) self.assertEqual(self.v1.dot(self.v2), self.v1 * self.v2) def test_angle_to(self): self.assertEqual( self.v1.rotate(self.v1.angle_to(self.v2)).normalize(), self.v2.normalize() ) self.assertEqual(Vector2(1, 1).angle_to((-1, 1)), 90) self.assertEqual(Vector2(1, 0).angle_to((0, -1)), -90) self.assertEqual(Vector2(1, 0).angle_to((-1, 1)), 135) self.assertEqual(abs(Vector2(1, 0).angle_to((-1, 0))), 180) def test_scale_to_length(self): v = Vector2(1, 1) v.scale_to_length(2.5) self.assertEqual(v, Vector2(2.5, 2.5) / math.sqrt(2)) self.assertRaises(ValueError, lambda: self.zeroVec.scale_to_length(1)) self.assertEqual(v.scale_to_length(0), None) self.assertEqual(v, self.zeroVec) def test_length(self): self.assertEqual(Vector2(3, 4).length(), 5) self.assertEqual(Vector2(-3, 4).length(), 5) self.assertEqual(self.zeroVec.length(), 0) def test_length_squared(self): self.assertEqual(Vector2(3, 4).length_squared(), 25) self.assertEqual(Vector2(-3, 4).length_squared(), 25) self.assertEqual(self.zeroVec.length_squared(), 0) def test_reflect(self): v = Vector2(1, -1) n = Vector2(0, 1) self.assertEqual(v.reflect(n), Vector2(1, 1)) self.assertEqual(v.reflect(3 * n), v.reflect(n)) self.assertEqual(v.reflect(-v), -v) self.assertRaises(ValueError, lambda: v.reflect(self.zeroVec)) def test_reflect_ip(self): v1 = Vector2(1, -1) v2 = Vector2(v1) n = Vector2(0, 1) self.assertEqual(v2.reflect_ip(n), None) self.assertEqual(v2, Vector2(1, 1)) v2 = Vector2(v1) v2.reflect_ip(3 * n) self.assertEqual(v2, v1.reflect(n)) v2 = Vector2(v1) v2.reflect_ip(-v1) self.assertEqual(v2, -v1) self.assertRaises(ValueError, lambda: v2.reflect_ip(Vector2())) def test_distance_to(self): diff = self.v1 - self.v2 self.assertEqual(self.e1.distance_to(self.e2), math.sqrt(2)) self.assertEqual(self.e1.distance_to((0, 1)), math.sqrt(2)) self.assertEqual(self.e1.distance_to([0, 1]), math.sqrt(2)) self.assertAlmostEqual( self.v1.distance_to(self.v2), math.sqrt(diff.x * diff.x + diff.y * diff.y) ) self.assertAlmostEqual( self.v1.distance_to(self.t2), math.sqrt(diff.x * diff.x + diff.y * diff.y) ) self.assertAlmostEqual( self.v1.distance_to(self.l2), math.sqrt(diff.x * diff.x + diff.y * diff.y) ) self.assertEqual(self.v1.distance_to(self.v1), 0) self.assertEqual(self.v1.distance_to(self.t1), 0) self.assertEqual(self.v1.distance_to(self.l1), 0) self.assertEqual(self.v1.distance_to(self.t2), self.v2.distance_to(self.t1)) self.assertEqual(self.v1.distance_to(self.l2), self.v2.distance_to(self.l1)) self.assertEqual(self.v1.distance_to(self.v2), self.v2.distance_to(self.v1)) def test_distance_squared_to(self): diff = self.v1 - self.v2 self.assertEqual(self.e1.distance_squared_to(self.e2), 2) self.assertEqual(self.e1.distance_squared_to((0, 1)), 2) self.assertEqual(self.e1.distance_squared_to([0, 1]), 2) self.assertAlmostEqual( self.v1.distance_squared_to(self.v2), diff.x * diff.x + diff.y * diff.y ) self.assertAlmostEqual( self.v1.distance_squared_to(self.t2), diff.x * diff.x + diff.y * diff.y ) self.assertAlmostEqual( self.v1.distance_squared_to(self.l2), diff.x * diff.x + diff.y * diff.y ) self.assertEqual(self.v1.distance_squared_to(self.v1), 0) self.assertEqual(self.v1.distance_squared_to(self.t1), 0) self.assertEqual(self.v1.distance_squared_to(self.l1), 0) self.assertEqual( self.v1.distance_squared_to(self.v2), self.v2.distance_squared_to(self.v1) ) self.assertEqual( self.v1.distance_squared_to(self.t2), self.v2.distance_squared_to(self.t1) ) self.assertEqual( self.v1.distance_squared_to(self.l2), self.v2.distance_squared_to(self.l1) ) def test_update(self): v = Vector2(3, 4) v.update(0) self.assertEqual(v, Vector2((0, 0))) v.update(5, 1) self.assertEqual(v, Vector2(5, 1)) v.update((4, 1)) self.assertNotEqual(v, Vector2((5, 1))) def test_swizzle(self): self.assertEqual(self.v1.yx, (self.v1.y, self.v1.x)) self.assertEqual( self.v1.xxyyxy, (self.v1.x, self.v1.x, self.v1.y, self.v1.y, self.v1.x, self.v1.y), ) self.v1.xy = self.t2 self.assertEqual(self.v1, self.t2) self.v1.yx = self.t2 self.assertEqual(self.v1, (self.t2[1], self.t2[0])) self.assertEqual(type(self.v1), Vector2) def invalidSwizzleX(): Vector2().xx = (1, 2) def invalidSwizzleY(): Vector2().yy = (1, 2) self.assertRaises(AttributeError, invalidSwizzleX) self.assertRaises(AttributeError, invalidSwizzleY) def invalidAssignment(): Vector2().xy = 3 self.assertRaises(TypeError, invalidAssignment) def unicodeAttribute(): getattr(Vector2(), "รค") self.assertRaises(AttributeError, unicodeAttribute) def test_swizzle_return_types(self): self.assertEqual(type(self.v1.x), float) self.assertEqual(type(self.v1.xy), Vector2) self.assertEqual(type(self.v1.xyx), Vector3) # but we don't have vector4 or above... so tuple. self.assertEqual(type(self.v1.xyxy), tuple) self.assertEqual(type(self.v1.xyxyx), tuple) def test_elementwise(self): v1 = self.v1 v2 = self.v2 s1 = self.s1 s2 = self.s2 # behaviour for "elementwise op scalar" self.assertEqual(v1.elementwise() + s1, (v1.x + s1, v1.y + s1)) self.assertEqual(v1.elementwise() - s1, (v1.x - s1, v1.y - s1)) self.assertEqual(v1.elementwise() * s2, (v1.x * s2, v1.y * s2)) self.assertEqual(v1.elementwise() / s2, (v1.x / s2, v1.y / s2)) self.assertEqual(v1.elementwise() // s1, (v1.x // s1, v1.y // s1)) self.assertEqual(v1.elementwise() ** s1, (v1.x**s1, v1.y**s1)) self.assertEqual(v1.elementwise() % s1, (v1.x % s1, v1.y % s1)) self.assertEqual(v1.elementwise() > s1, v1.x > s1 and v1.y > s1) self.assertEqual(v1.elementwise() < s1, v1.x < s1 and v1.y < s1) self.assertEqual(v1.elementwise() == s1, v1.x == s1 and v1.y == s1) self.assertEqual(v1.elementwise() != s1, s1 not in [v1.x, v1.y]) self.assertEqual(v1.elementwise() >= s1, v1.x >= s1 and v1.y >= s1) self.assertEqual(v1.elementwise() <= s1, v1.x <= s1 and v1.y <= s1) self.assertEqual(v1.elementwise() != s1, s1 not in [v1.x, v1.y]) # behaviour for "scalar op elementwise" self.assertEqual(s1 + v1.elementwise(), (s1 + v1.x, s1 + v1.y)) self.assertEqual(s1 - v1.elementwise(), (s1 - v1.x, s1 - v1.y)) self.assertEqual(s1 * v1.elementwise(), (s1 * v1.x, s1 * v1.y)) self.assertEqual(s1 / v1.elementwise(), (s1 / v1.x, s1 / v1.y)) self.assertEqual(s1 // v1.elementwise(), (s1 // v1.x, s1 // v1.y)) self.assertEqual(s1 ** v1.elementwise(), (s1**v1.x, s1**v1.y)) self.assertEqual(s1 % v1.elementwise(), (s1 % v1.x, s1 % v1.y)) self.assertEqual(s1 < v1.elementwise(), s1 < v1.x and s1 < v1.y) self.assertEqual(s1 > v1.elementwise(), s1 > v1.x and s1 > v1.y) self.assertEqual(s1 == v1.elementwise(), s1 == v1.x and s1 == v1.y) self.assertEqual(s1 != v1.elementwise(), s1 not in [v1.x, v1.y]) self.assertEqual(s1 <= v1.elementwise(), s1 <= v1.x and s1 <= v1.y) self.assertEqual(s1 >= v1.elementwise(), s1 >= v1.x and s1 >= v1.y) self.assertEqual(s1 != v1.elementwise(), s1 not in [v1.x, v1.y]) # behaviour for "elementwise op vector" self.assertEqual(type(v1.elementwise() * v2), type(v1)) self.assertEqual(v1.elementwise() + v2, v1 + v2) self.assertEqual(v1.elementwise() - v2, v1 - v2) self.assertEqual(v1.elementwise() * v2, (v1.x * v2.x, v1.y * v2.y)) self.assertEqual(v1.elementwise() / v2, (v1.x / v2.x, v1.y / v2.y)) self.assertEqual(v1.elementwise() // v2, (v1.x // v2.x, v1.y // v2.y)) self.assertEqual(v1.elementwise() ** v2, (v1.x**v2.x, v1.y**v2.y)) self.assertEqual(v1.elementwise() % v2, (v1.x % v2.x, v1.y % v2.y)) self.assertEqual(v1.elementwise() > v2, v1.x > v2.x and v1.y > v2.y) self.assertEqual(v1.elementwise() < v2, v1.x < v2.x and v1.y < v2.y) self.assertEqual(v1.elementwise() >= v2, v1.x >= v2.x and v1.y >= v2.y) self.assertEqual(v1.elementwise() <= v2, v1.x <= v2.x and v1.y <= v2.y) self.assertEqual(v1.elementwise() == v2, v1.x == v2.x and v1.y == v2.y) self.assertEqual(v1.elementwise() != v2, v1.x != v2.x and v1.y != v2.y) # behaviour for "vector op elementwise" self.assertEqual(v2 + v1.elementwise(), v2 + v1) self.assertEqual(v2 - v1.elementwise(), v2 - v1) self.assertEqual(v2 * v1.elementwise(), (v2.x * v1.x, v2.y * v1.y)) self.assertEqual(v2 / v1.elementwise(), (v2.x / v1.x, v2.y / v1.y)) self.assertEqual(v2 // v1.elementwise(), (v2.x // v1.x, v2.y // v1.y)) self.assertEqual(v2 ** v1.elementwise(), (v2.x**v1.x, v2.y**v1.y)) self.assertEqual(v2 % v1.elementwise(), (v2.x % v1.x, v2.y % v1.y)) self.assertEqual(v2 < v1.elementwise(), v2.x < v1.x and v2.y < v1.y) self.assertEqual(v2 > v1.elementwise(), v2.x > v1.x and v2.y > v1.y) self.assertEqual(v2 <= v1.elementwise(), v2.x <= v1.x and v2.y <= v1.y) self.assertEqual(v2 >= v1.elementwise(), v2.x >= v1.x and v2.y >= v1.y) self.assertEqual(v2 == v1.elementwise(), v2.x == v1.x and v2.y == v1.y) self.assertEqual(v2 != v1.elementwise(), v2.x != v1.x and v2.y != v1.y) # behaviour for "elementwise op elementwise" self.assertEqual(v2.elementwise() + v1.elementwise(), v2 + v1) self.assertEqual(v2.elementwise() - v1.elementwise(), v2 - v1) self.assertEqual( v2.elementwise() * v1.elementwise(), (v2.x * v1.x, v2.y * v1.y) ) self.assertEqual( v2.elementwise() / v1.elementwise(), (v2.x / v1.x, v2.y / v1.y) ) self.assertEqual( v2.elementwise() // v1.elementwise(), (v2.x // v1.x, v2.y // v1.y) ) self.assertEqual(v2.elementwise() ** v1.elementwise(), (v2.x**v1.x, v2.y**v1.y)) self.assertEqual( v2.elementwise() % v1.elementwise(), (v2.x % v1.x, v2.y % v1.y) ) self.assertEqual( v2.elementwise() < v1.elementwise(), v2.x < v1.x and v2.y < v1.y ) self.assertEqual( v2.elementwise() > v1.elementwise(), v2.x > v1.x and v2.y > v1.y ) self.assertEqual( v2.elementwise() <= v1.elementwise(), v2.x <= v1.x and v2.y <= v1.y ) self.assertEqual( v2.elementwise() >= v1.elementwise(), v2.x >= v1.x and v2.y >= v1.y ) self.assertEqual( v2.elementwise() == v1.elementwise(), v2.x == v1.x and v2.y == v1.y ) self.assertEqual( v2.elementwise() != v1.elementwise(), v2.x != v1.x and v2.y != v1.y ) # other behaviour self.assertEqual(abs(v1.elementwise()), (abs(v1.x), abs(v1.y))) self.assertEqual(-v1.elementwise(), -v1) self.assertEqual(+v1.elementwise(), +v1) self.assertEqual(bool(v1.elementwise()), bool(v1)) self.assertEqual(bool(Vector2().elementwise()), bool(Vector2())) self.assertEqual(self.zeroVec.elementwise() ** 0, (1, 1)) self.assertRaises(ValueError, lambda: pow(Vector2(-1, 0).elementwise(), 1.2)) self.assertRaises(ZeroDivisionError, lambda: self.zeroVec.elementwise() ** -1) self.assertRaises(ZeroDivisionError, lambda: self.zeroVec.elementwise() ** -1) self.assertRaises(ZeroDivisionError, lambda: Vector2(1, 1).elementwise() / 0) self.assertRaises(ZeroDivisionError, lambda: Vector2(1, 1).elementwise() // 0) self.assertRaises(ZeroDivisionError, lambda: Vector2(1, 1).elementwise() % 0) self.assertRaises( ZeroDivisionError, lambda: Vector2(1, 1).elementwise() / self.zeroVec ) self.assertRaises( ZeroDivisionError, lambda: Vector2(1, 1).elementwise() // self.zeroVec ) self.assertRaises( ZeroDivisionError, lambda: Vector2(1, 1).elementwise() % self.zeroVec ) self.assertRaises(ZeroDivisionError, lambda: 2 / self.zeroVec.elementwise()) self.assertRaises(ZeroDivisionError, lambda: 2 // self.zeroVec.elementwise()) self.assertRaises(ZeroDivisionError, lambda: 2 % self.zeroVec.elementwise()) def test_slerp(self): self.assertRaises(ValueError, lambda: self.zeroVec.slerp(self.v1, 0.5)) self.assertRaises(ValueError, lambda: self.v1.slerp(self.zeroVec, 0.5)) self.assertRaises(ValueError, lambda: self.zeroVec.slerp(self.zeroVec, 0.5)) v1 = Vector2(1, 0) v2 = Vector2(0, 1) steps = 10 angle_step = v1.angle_to(v2) / steps for i, u in ((i, v1.slerp(v2, i / float(steps))) for i in range(steps + 1)): self.assertAlmostEqual(u.length(), 1) self.assertAlmostEqual(v1.angle_to(u), i * angle_step) self.assertEqual(u, v2) v1 = Vector2(100, 0) v2 = Vector2(0, 10) radial_factor = v2.length() / v1.length() for i, u in ((i, v1.slerp(v2, -i / float(steps))) for i in range(steps + 1)): self.assertAlmostEqual( u.length(), (v2.length() - v1.length()) * (float(i) / steps) + v1.length(), ) self.assertEqual(u, v2) self.assertEqual(v1.slerp(v1, 0.5), v1) self.assertEqual(v2.slerp(v2, 0.5), v2) self.assertRaises(ValueError, lambda: v1.slerp(-v1, 0.5)) def test_lerp(self): v1 = Vector2(0, 0) v2 = Vector2(10, 10) self.assertEqual(v1.lerp(v2, 0.5), (5, 5)) self.assertRaises(ValueError, lambda: v1.lerp(v2, 2.5)) v1 = Vector2(-10, -5) v2 = Vector2(10, 10) self.assertEqual(v1.lerp(v2, 0.5), (0, 2.5)) def test_polar(self): v = Vector2() v.from_polar(self.v1.as_polar()) self.assertEqual(self.v1, v) self.assertEqual(self.v1, Vector2.from_polar(self.v1.as_polar())) self.assertEqual(self.e1.as_polar(), (1, 0)) self.assertEqual(self.e2.as_polar(), (1, 90)) self.assertEqual((2 * self.e2).as_polar(), (2, 90)) self.assertRaises(TypeError, lambda: v.from_polar((None, None))) self.assertRaises(TypeError, lambda: v.from_polar("ab")) self.assertRaises(TypeError, lambda: v.from_polar((None, 1))) self.assertRaises(TypeError, lambda: v.from_polar((1, 2, 3))) self.assertRaises(TypeError, lambda: v.from_polar((1,))) self.assertRaises(TypeError, lambda: v.from_polar(1, 2)) self.assertRaises(TypeError, lambda: Vector2.from_polar((None, None))) self.assertRaises(TypeError, lambda: Vector2.from_polar("ab")) self.assertRaises(TypeError, lambda: Vector2.from_polar((None, 1))) self.assertRaises(TypeError, lambda: Vector2.from_polar((1, 2, 3))) self.assertRaises(TypeError, lambda: Vector2.from_polar((1,))) self.assertRaises(TypeError, lambda: Vector2.from_polar(1, 2)) v.from_polar((0.5, 90)) self.assertEqual(v, 0.5 * self.e2) self.assertEqual(Vector2.from_polar((0.5, 90)), 0.5 * self.e2) self.assertEqual(Vector2.from_polar((0.5, 90)), v) v.from_polar((1, 0)) self.assertEqual(v, self.e1) self.assertEqual(Vector2.from_polar((1, 0)), self.e1) self.assertEqual(Vector2.from_polar((1, 0)), v) def test_subclass_operation(self): class Vector(pygame.math.Vector2): pass vec_a = Vector(2, 0) vec_b = Vector(0, 1) result_add = vec_a + vec_b self.assertEqual(result_add, Vector(2, 1)) vec_a *= 2 self.assertEqual(vec_a, Vector(4, 0)) def test_project_v2_onto_x_axis(self): """Project onto x-axis, e.g. get the component pointing in the x-axis direction.""" # arrange v = Vector2(2, 2) x_axis = Vector2(10, 0) # act actual = v.project(x_axis) # assert self.assertEqual(v.x, actual.x) self.assertEqual(0, actual.y) def test_project_v2_onto_y_axis(self): """Project onto y-axis, e.g. get the component pointing in the y-axis direction.""" # arrange v = Vector2(2, 2) y_axis = Vector2(0, 100) # act actual = v.project(y_axis) # assert self.assertEqual(0, actual.x) self.assertEqual(v.y, actual.y) def test_project_v2_onto_other(self): """Project onto other vector.""" # arrange v = Vector2(2, 3) other = Vector2(3, 5) # act actual = v.project(other) # assert expected = v.dot(other) / other.dot(other) * other self.assertEqual(expected.x, actual.x) self.assertEqual(expected.y, actual.y) def test_project_v2_onto_other_as_tuple(self): """Project onto other tuple as vector.""" # arrange v = Vector2(2, 3) other = Vector2(3, 5) # act actual = v.project(tuple(other)) # assert expected = v.dot(other) / other.dot(other) * other self.assertEqual(expected.x, actual.x) self.assertEqual(expected.y, actual.y) def test_project_v2_onto_other_as_list(self): """Project onto other list as vector.""" # arrange v = Vector2(2, 3) other = Vector2(3, 5) # act actual = v.project(list(other)) # assert expected = v.dot(other) / other.dot(other) * other self.assertEqual(expected.x, actual.x) self.assertEqual(expected.y, actual.y) def test_project_v2_raises_if_other_has_zero_length(self): """Check if exception is raise when projected on vector has zero length.""" # arrange v = Vector2(2, 3) other = Vector2(0, 0) # act / assert self.assertRaises(ValueError, v.project, other) def test_project_v2_raises_if_other_is_not_iterable(self): """Check if exception is raise when projected on vector is not iterable.""" # arrange v = Vector2(2, 3) other = 10 # act / assert self.assertRaises(TypeError, v.project, other) def test_collection_abc(self): v = Vector2(3, 4) self.assertTrue(isinstance(v, Collection)) self.assertFalse(isinstance(v, Sequence)) def test_clamp_mag_v2_max(self): v1 = Vector2(7, 2) v2 = v1.clamp_magnitude(5) v3 = v1.clamp_magnitude(0, 5) self.assertEqual(v2, v3) v1.clamp_magnitude_ip(5) self.assertEqual(v1, v2) v1.clamp_magnitude_ip(0, 5) self.assertEqual(v1, v2) expected_v2 = Vector2(4.807619738204116, 1.3736056394868903) self.assertEqual(expected_v2, v2) def test_clamp_mag_v2_min(self): v1 = Vector2(1, 2) v2 = v1.clamp_magnitude(3, 5) v1.clamp_magnitude_ip(3, 5) expected_v2 = Vector2(1.3416407864998738, 2.6832815729997477) self.assertEqual(expected_v2, v2) self.assertEqual(expected_v2, v1) def test_clamp_mag_v2_no_change(self): v1 = Vector2(1, 2) for args in ( (1, 6), (1.12, 3.55), (0.93, 2.83), (7.6,), ): with self.subTest(args=args): v2 = v1.clamp_magnitude(*args) v1.clamp_magnitude_ip(*args) self.assertEqual(v1, v2) self.assertEqual(v1, Vector2(1, 2)) def test_clamp_mag_v2_edge_cases(self): v1 = Vector2(1, 2) v2 = v1.clamp_magnitude(6, 6) v1.clamp_magnitude_ip(6, 6) self.assertEqual(v1, v2) self.assertAlmostEqual(v1.length(), 6) v2 = v1.clamp_magnitude(0) v1.clamp_magnitude_ip(0, 0) self.assertEqual(v1, v2) self.assertEqual(v1, Vector2()) def test_clamp_mag_v2_errors(self): v1 = Vector2(1, 2) for invalid_args in ( ("foo", "bar"), (1, 2, 3), (342.234, "test"), ): with self.subTest(invalid_args=invalid_args): self.assertRaises(TypeError, v1.clamp_magnitude, *invalid_args) self.assertRaises(TypeError, v1.clamp_magnitude_ip, *invalid_args) for invalid_args in ( (-1,), (4, 3), # min > max (-4, 10), (-4, -2), ): with self.subTest(invalid_args=invalid_args): self.assertRaises(ValueError, v1.clamp_magnitude, *invalid_args) self.assertRaises(ValueError, v1.clamp_magnitude_ip, *invalid_args) # 0 vector v2 = Vector2() self.assertRaises(ValueError, v2.clamp_magnitude, 3) self.assertRaises(ValueError, v2.clamp_magnitude_ip, 4) def test_subclassing_v2(self): """Check if Vector2 is subclassable""" v = Vector2(4, 2) class TestVector(Vector2): def supermariobrosiscool(self): return 722 other = TestVector(4, 1) self.assertEqual(other.supermariobrosiscool(), 722) self.assertNotEqual(type(v), TestVector) self.assertNotEqual(type(v), type(other.copy())) self.assertEqual(TestVector, type(other.reflect(v))) self.assertEqual(TestVector, type(other.lerp(v, 1))) self.assertEqual(TestVector, type(other.slerp(v, 1))) self.assertEqual(TestVector, type(other.rotate(5))) self.assertEqual(TestVector, type(other.rotate_rad(5))) self.assertEqual(TestVector, type(other.project(v))) self.assertEqual(TestVector, type(other.move_towards(v, 5))) self.assertEqual(TestVector, type(other.clamp_magnitude(5))) self.assertEqual(TestVector, type(other.clamp_magnitude(1, 5))) self.assertEqual(TestVector, type(other.elementwise() + other)) other1 = TestVector(4, 2) self.assertEqual(type(other + other1), TestVector) self.assertEqual(type(other - other1), TestVector) self.assertEqual(type(other * 3), TestVector) self.assertEqual(type(other / 3), TestVector) self.assertEqual(type(other.elementwise() ** 3), TestVector) class Vector3TypeTest(unittest.TestCase): def setUp(self): self.zeroVec = Vector3() self.e1 = Vector3(1, 0, 0) self.e2 = Vector3(0, 1, 0) self.e3 = Vector3(0, 0, 1) self.t1 = (1.2, 3.4, 9.6) self.l1 = list(self.t1) self.v1 = Vector3(self.t1) self.t2 = (5.6, 7.8, 2.1) self.l2 = list(self.t2) self.v2 = Vector3(self.t2) self.s1 = 5.6 self.s2 = 7.8 def testConstructionDefault(self): v = Vector3() self.assertEqual(v.x, 0.0) self.assertEqual(v.y, 0.0) self.assertEqual(v.z, 0.0) def testConstructionXYZ(self): v = Vector3(1.2, 3.4, 9.6) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) self.assertEqual(v.z, 9.6) def testConstructionTuple(self): v = Vector3((1.2, 3.4, 9.6)) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) self.assertEqual(v.z, 9.6) def testConstructionList(self): v = Vector3([1.2, 3.4, -9.6]) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) self.assertEqual(v.z, -9.6) def testConstructionVector3(self): v = Vector3(Vector3(1.2, 3.4, -9.6)) self.assertEqual(v.x, 1.2) self.assertEqual(v.y, 3.4) self.assertEqual(v.z, -9.6) def testConstructionScalar(self): v = Vector3(1) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 1.0) self.assertEqual(v.z, 1.0) def testConstructionScalarKeywords(self): v = Vector3(x=1) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 1.0) self.assertEqual(v.z, 1.0) def testConstructionKeywords(self): v = Vector3(x=1, y=2, z=3) self.assertEqual(v.x, 1.0) self.assertEqual(v.y, 2.0) self.assertEqual(v.z, 3.0) def testConstructionMissing(self): self.assertRaises(ValueError, Vector3, 1, 2) self.assertRaises(ValueError, Vector3, x=1, y=2) def testAttributeAccess(self): tmp = self.v1.x self.assertEqual(tmp, self.v1.x) self.assertEqual(tmp, self.v1[0]) tmp = self.v1.y self.assertEqual(tmp, self.v1.y) self.assertEqual(tmp, self.v1[1]) tmp = self.v1.z self.assertEqual(tmp, self.v1.z) self.assertEqual(tmp, self.v1[2]) self.v1.x = 3.141 self.assertEqual(self.v1.x, 3.141) self.v1.y = 3.141 self.assertEqual(self.v1.y, 3.141) self.v1.z = 3.141 self.assertEqual(self.v1.z, 3.141) def assign_nonfloat(): v = Vector2() v.x = "spam" self.assertRaises(TypeError, assign_nonfloat) def testCopy(self): v_copy0 = Vector3(2014.0, 2032.0, 2076.0) v_copy1 = v_copy0.copy() self.assertEqual(v_copy0.x, v_copy1.x) self.assertEqual(v_copy0.y, v_copy1.y) self.assertEqual(v_copy0.z, v_copy1.z) def testSequence(self): v = Vector3(1.2, 3.4, -9.6) self.assertEqual(len(v), 3) self.assertEqual(v[0], 1.2) self.assertEqual(v[1], 3.4) self.assertEqual(v[2], -9.6) self.assertRaises(IndexError, lambda: v[3]) self.assertEqual(v[-1], -9.6) self.assertEqual(v[-2], 3.4) self.assertEqual(v[-3], 1.2) self.assertRaises(IndexError, lambda: v[-4]) self.assertEqual(v[:], [1.2, 3.4, -9.6]) self.assertEqual(v[1:], [3.4, -9.6]) self.assertEqual(v[:1], [1.2]) self.assertEqual(v[:-1], [1.2, 3.4]) self.assertEqual(v[1:2], [3.4]) self.assertEqual(list(v), [1.2, 3.4, -9.6]) self.assertEqual(tuple(v), (1.2, 3.4, -9.6)) v[0] = 5.6 v[1] = 7.8 v[2] = -2.1 self.assertEqual(v.x, 5.6) self.assertEqual(v.y, 7.8) self.assertEqual(v.z, -2.1) v[:] = [9.1, 11.12, -13.41] self.assertEqual(v.x, 9.1) self.assertEqual(v.y, 11.12) self.assertEqual(v.z, -13.41) def overpopulate(): v = Vector3() v[:] = [1, 2, 3, 4] self.assertRaises(ValueError, overpopulate) def underpopulate(): v = Vector3() v[:] = [1] self.assertRaises(ValueError, underpopulate) def assign_nonfloat(): v = Vector2() v[0] = "spam" self.assertRaises(TypeError, assign_nonfloat) def testExtendedSlicing(self): # deletion def delSlice(vec, start=None, stop=None, step=None): if start is not None and stop is not None and step is not None: del vec[start:stop:step] elif start is not None and stop is None and step is not None: del vec[start::step] elif start is None and stop is None and step is not None: del vec[::step] v = Vector3(self.v1) self.assertRaises(TypeError, delSlice, v, None, None, 2) self.assertRaises(TypeError, delSlice, v, 1, None, 2) self.assertRaises(TypeError, delSlice, v, 1, 2, 1) # assignment v = Vector3(self.v1) v[::2] = [-1.1, -2.2] self.assertEqual(v, [-1.1, self.v1.y, -2.2]) v = Vector3(self.v1) v[::-2] = [10, 20] self.assertEqual(v, [20, self.v1.y, 10]) v = Vector3(self.v1) v[::-1] = v self.assertEqual(v, [self.v1.z, self.v1.y, self.v1.x]) a = Vector3(self.v1) b = Vector3(self.v1) c = Vector3(self.v1) a[1:2] = [2.2] b[slice(1, 2)] = [2.2] c[1:2:] = (2.2,) self.assertEqual(a, b) self.assertEqual(a, c) self.assertEqual(type(a), type(self.v1)) self.assertEqual(type(b), type(self.v1)) self.assertEqual(type(c), type(self.v1)) def test_contains(self): c = Vector3(0, 1, 2) # call __contains__ explicitly to test that it is defined self.assertTrue(c.__contains__(0)) self.assertTrue(0 in c) self.assertTrue(1 in c) self.assertTrue(2 in c) self.assertTrue(3 not in c) self.assertFalse(c.__contains__(10)) self.assertRaises(TypeError, lambda: "string" in c) self.assertRaises(TypeError, lambda: 3 + 4j in c) def testAdd(self): v3 = self.v1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.v2.x) self.assertEqual(v3.y, self.v1.y + self.v2.y) self.assertEqual(v3.z, self.v1.z + self.v2.z) v3 = self.v1 + self.t2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.t2[0]) self.assertEqual(v3.y, self.v1.y + self.t2[1]) self.assertEqual(v3.z, self.v1.z + self.t2[2]) v3 = self.v1 + self.l2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x + self.l2[0]) self.assertEqual(v3.y, self.v1.y + self.l2[1]) self.assertEqual(v3.z, self.v1.z + self.l2[2]) v3 = self.t1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.t1[0] + self.v2.x) self.assertEqual(v3.y, self.t1[1] + self.v2.y) self.assertEqual(v3.z, self.t1[2] + self.v2.z) v3 = self.l1 + self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.l1[0] + self.v2.x) self.assertEqual(v3.y, self.l1[1] + self.v2.y) self.assertEqual(v3.z, self.l1[2] + self.v2.z) def testSub(self): v3 = self.v1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.v2.x) self.assertEqual(v3.y, self.v1.y - self.v2.y) self.assertEqual(v3.z, self.v1.z - self.v2.z) v3 = self.v1 - self.t2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.t2[0]) self.assertEqual(v3.y, self.v1.y - self.t2[1]) self.assertEqual(v3.z, self.v1.z - self.t2[2]) v3 = self.v1 - self.l2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.v1.x - self.l2[0]) self.assertEqual(v3.y, self.v1.y - self.l2[1]) self.assertEqual(v3.z, self.v1.z - self.l2[2]) v3 = self.t1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.t1[0] - self.v2.x) self.assertEqual(v3.y, self.t1[1] - self.v2.y) self.assertEqual(v3.z, self.t1[2] - self.v2.z) v3 = self.l1 - self.v2 self.assertTrue(isinstance(v3, type(self.v1))) self.assertEqual(v3.x, self.l1[0] - self.v2.x) self.assertEqual(v3.y, self.l1[1] - self.v2.y) self.assertEqual(v3.z, self.l1[2] - self.v2.z) def testScalarMultiplication(self): v = self.s1 * self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.s1 * self.v1.x) self.assertEqual(v.y, self.s1 * self.v1.y) self.assertEqual(v.z, self.s1 * self.v1.z) v = self.v1 * self.s2 self.assertEqual(v.x, self.v1.x * self.s2) self.assertEqual(v.y, self.v1.y * self.s2) self.assertEqual(v.z, self.v1.z * self.s2) def testScalarDivision(self): v = self.v1 / self.s1 self.assertTrue(isinstance(v, type(self.v1))) self.assertAlmostEqual(v.x, self.v1.x / self.s1) self.assertAlmostEqual(v.y, self.v1.y / self.s1) self.assertAlmostEqual(v.z, self.v1.z / self.s1) v = self.v1 // self.s2 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.v1.x // self.s2) self.assertEqual(v.y, self.v1.y // self.s2) self.assertEqual(v.z, self.v1.z // self.s2) def testBool(self): self.assertEqual(bool(self.zeroVec), False) self.assertEqual(bool(self.v1), True) self.assertTrue(not self.zeroVec) self.assertTrue(self.v1) def testUnary(self): v = +self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, self.v1.x) self.assertEqual(v.y, self.v1.y) self.assertEqual(v.z, self.v1.z) self.assertNotEqual(id(v), id(self.v1)) v = -self.v1 self.assertTrue(isinstance(v, type(self.v1))) self.assertEqual(v.x, -self.v1.x) self.assertEqual(v.y, -self.v1.y) self.assertEqual(v.z, -self.v1.z) self.assertNotEqual(id(v), id(self.v1)) def testCompare(self): int_vec = Vector3(3, -2, 13) flt_vec = Vector3(3.0, -2.0, 13.0) zero_vec = Vector3(0, 0, 0) self.assertEqual(int_vec == flt_vec, True) self.assertEqual(int_vec != flt_vec, False) self.assertEqual(int_vec != zero_vec, True) self.assertEqual(flt_vec == zero_vec, False) self.assertEqual(int_vec == (3, -2, 13), True) self.assertEqual(int_vec != (3, -2, 13), False) self.assertEqual(int_vec != [0, 0], True) self.assertEqual(int_vec == [0, 0], False) self.assertEqual(int_vec != 5, True) self.assertEqual(int_vec == 5, False) self.assertEqual(int_vec != [3, -2, 0, 1], True) self.assertEqual(int_vec == [3, -2, 0, 1], False) def testStr(self): v = Vector3(1.2, 3.4, 5.6) self.assertEqual(str(v), "[1.2, 3.4, 5.6]") def testRepr(self): v = Vector3(1.2, 3.4, -9.6) self.assertEqual(v.__repr__(), "") self.assertEqual(v, Vector3(v.__repr__())) def testIter(self): it = self.v1.__iter__() next_ = it.__next__ self.assertEqual(next_(), self.v1[0]) self.assertEqual(next_(), self.v1[1]) self.assertEqual(next_(), self.v1[2]) self.assertRaises(StopIteration, lambda: next_()) it1 = self.v1.__iter__() it2 = self.v1.__iter__() self.assertNotEqual(id(it1), id(it2)) self.assertEqual(id(it1), id(it1.__iter__())) self.assertEqual(list(it1), list(it2)) self.assertEqual(list(self.v1.__iter__()), self.l1) idx = 0 for val in self.v1: self.assertEqual(val, self.v1[idx]) idx += 1 def test___round___basic(self): self.assertEqual( round(pygame.Vector3(0.0, 0.0, 0.0)), pygame.Vector3(0.0, 0.0, 0.0) ) self.assertEqual(type(round(pygame.Vector3(0.0, 0.0, 0.0))), pygame.Vector3) self.assertEqual( round(pygame.Vector3(1.0, 1.0, 1.0)), round(pygame.Vector3(1.0, 1.0, 1.0)) ) self.assertEqual( round(pygame.Vector3(10.0, 10.0, 10.0)), round(pygame.Vector3(10.0, 10.0, 10.0)), ) self.assertEqual( round(pygame.Vector3(1000000000.0, 1000000000.0, 1000000000.0)), pygame.Vector3(1000000000.0, 1000000000.0, 1000000000.0), ) self.assertEqual( round(pygame.Vector3(1e20, 1e20, 1e20)), pygame.Vector3(1e20, 1e20, 1e20) ) self.assertEqual( round(pygame.Vector3(-1.0, -1.0, -1.0)), pygame.Vector3(-1.0, -1.0, -1.0) ) self.assertEqual( round(pygame.Vector3(-10.0, -10.0, -10.0)), pygame.Vector3(-10.0, -10.0, -10.0), ) self.assertEqual( round(pygame.Vector3(-1000000000.0, -1000000000.0, -1000000000.0)), pygame.Vector3(-1000000000.0, -1000000000.0, -1000000000.0), ) self.assertEqual( round(pygame.Vector3(-1e20, -1e20, -1e20)), pygame.Vector3(-1e20, -1e20, -1e20), ) self.assertEqual( round(pygame.Vector3(0.1, 0.1, 0.1)), pygame.Vector3(0.0, 0.0, 0.0) ) self.assertEqual( round(pygame.Vector3(1.1, 1.1, 1.1)), pygame.Vector3(1.0, 1.0, 1.0) ) self.assertEqual( round(pygame.Vector3(10.1, 10.1, 10.1)), pygame.Vector3(10.0, 10.0, 10.0) ) self.assertEqual( round(pygame.Vector3(1000000000.1, 1000000000.1, 1000000000.1)), pygame.Vector3(1000000000.0, 1000000000.0, 1000000000.0), ) self.assertEqual( round(pygame.Vector3(-1.1, -1.1, -1.1)), pygame.Vector3(-1.0, -1.0, -1.0) ) self.assertEqual( round(pygame.Vector3(-10.1, -10.1, -10.1)), pygame.Vector3(-10.0, -10.0, -10.0), ) self.assertEqual( round(pygame.Vector3(-1000000000.1, -1000000000.1, -1000000000.1)), pygame.Vector3(-1000000000.0, -1000000000.0, -1000000000.0), ) self.assertEqual( round(pygame.Vector3(0.9, 0.9, 0.9)), pygame.Vector3(1.0, 1.0, 1.0) ) self.assertEqual( round(pygame.Vector3(9.9, 9.9, 9.9)), pygame.Vector3(10.0, 10.0, 10.0) ) self.assertEqual( round(pygame.Vector3(999999999.9, 999999999.9, 999999999.9)), pygame.Vector3(1000000000.0, 1000000000.0, 1000000000.0), ) self.assertEqual( round(pygame.Vector3(-0.9, -0.9, -0.9)), pygame.Vector3(-1.0, -1.0, -1.0) ) self.assertEqual( round(pygame.Vector3(-9.9, -9.9, -9.9)), pygame.Vector3(-10.0, -10.0, -10.0) ) self.assertEqual( round(pygame.Vector3(-999999999.9, -999999999.9, -999999999.9)), pygame.Vector3(-1000000000.0, -1000000000.0, -1000000000.0), ) self.assertEqual( round(pygame.Vector3(-8.0, -8.0, -8.0), -1), pygame.Vector3(-10.0, -10.0, -10.0), ) self.assertEqual( type(round(pygame.Vector3(-8.0, -8.0, -8.0), -1)), pygame.Vector3 ) self.assertEqual( type(round(pygame.Vector3(-8.0, -8.0, -8.0), 0)), pygame.Vector3 ) self.assertEqual( type(round(pygame.Vector3(-8.0, -8.0, -8.0), 1)), pygame.Vector3 ) # Check even / odd rounding behaviour self.assertEqual(round(pygame.Vector3(5.5, 5.5, 5.5)), pygame.Vector3(6, 6, 6)) self.assertEqual( round(pygame.Vector3(5.4, 5.4, 5.4)), pygame.Vector3(5.0, 5.0, 5.0) ) self.assertEqual( round(pygame.Vector3(5.6, 5.6, 5.6)), pygame.Vector3(6.0, 6.0, 6.0) ) self.assertEqual( round(pygame.Vector3(-5.5, -5.5, -5.5)), pygame.Vector3(-6, -6, -6) ) self.assertEqual( round(pygame.Vector3(-5.4, -5.4, -5.4)), pygame.Vector3(-5, -5, -5) ) self.assertEqual( round(pygame.Vector3(-5.6, -5.6, -5.6)), pygame.Vector3(-6, -6, -6) ) self.assertRaises(TypeError, round, pygame.Vector3(1.0, 1.0, 1.0), 1.5) self.assertRaises(TypeError, round, pygame.Vector3(1.0, 1.0, 1.0), "a") def test_rotate(self): v1 = Vector3(1, 0, 0) axis = Vector3(0, 1, 0) v2 = v1.rotate(90, axis) v3 = v1.rotate(90 + 360, axis) self.assertEqual(v1.x, 1) self.assertEqual(v1.y, 0) self.assertEqual(v1.z, 0) self.assertEqual(v2.x, 0) self.assertEqual(v2.y, 0) self.assertEqual(v2.z, -1) self.assertEqual(v3.x, v2.x) self.assertEqual(v3.y, v2.y) self.assertEqual(v3.z, v2.z) v1 = Vector3(-1, -1, -1) v2 = v1.rotate(-90, axis) self.assertEqual(v2.x, 1) self.assertEqual(v2.y, -1) self.assertEqual(v2.z, -1) v2 = v1.rotate(360, axis) self.assertEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) self.assertEqual(v1.z, v2.z) v2 = v1.rotate(0, axis) self.assertEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) self.assertEqual(v1.z, v2.z) # issue 214 self.assertEqual( Vector3(0, 1, 0).rotate(359.9999999, Vector3(0, 0, 1)), Vector3(0, 1, 0) ) def test_rotate_rad(self): axis = Vector3(0, 0, 1) tests = ( ((1, 0, 0), math.pi), ((1, 0, 0), math.pi / 2), ((1, 0, 0), -math.pi / 2), ((1, 0, 0), math.pi / 4), ) for initialVec, radians in tests: vec = Vector3(initialVec).rotate_rad(radians, axis) self.assertEqual(vec, (math.cos(radians), math.sin(radians), 0)) def test_rotate_ip(self): v = Vector3(1, 0, 0) axis = Vector3(0, 1, 0) self.assertEqual(v.rotate_ip(90, axis), None) self.assertEqual(v.x, 0) self.assertEqual(v.y, 0) self.assertEqual(v.z, -1) v = Vector3(-1, -1, 1) v.rotate_ip(-90, axis) self.assertEqual(v.x, -1) self.assertEqual(v.y, -1) self.assertEqual(v.z, -1) def test_rotate_rad_ip(self): axis = Vector3(0, 0, 1) tests = ( ((1, 0, 0), math.pi), ((1, 0, 0), math.pi / 2), ((1, 0, 0), -math.pi / 2), ((1, 0, 0), math.pi / 4), ) for initialVec, radians in tests: vec = Vector3(initialVec) vec.rotate_rad_ip(radians, axis) self.assertEqual(vec, (math.cos(radians), math.sin(radians), 0)) def test_rotate_x(self): v1 = Vector3(1, 0, 0) v2 = v1.rotate_x(90) v3 = v1.rotate_x(90 + 360) self.assertEqual(v1.x, 1) self.assertEqual(v1.y, 0) self.assertEqual(v1.z, 0) self.assertEqual(v2.x, 1) self.assertEqual(v2.y, 0) self.assertEqual(v2.z, 0) self.assertEqual(v3.x, v2.x) self.assertEqual(v3.y, v2.y) self.assertEqual(v3.z, v2.z) v1 = Vector3(-1, -1, -1) v2 = v1.rotate_x(-90) self.assertEqual(v2.x, -1) self.assertAlmostEqual(v2.y, -1) self.assertAlmostEqual(v2.z, 1) v2 = v1.rotate_x(360) self.assertAlmostEqual(v1.x, v2.x) self.assertAlmostEqual(v1.y, v2.y) self.assertAlmostEqual(v1.z, v2.z) v2 = v1.rotate_x(0) self.assertEqual(v1.x, v2.x) self.assertAlmostEqual(v1.y, v2.y) self.assertAlmostEqual(v1.z, v2.z) def test_rotate_x_rad(self): vec = Vector3(0, 1, 0) result = vec.rotate_x_rad(math.pi / 2) self.assertEqual(result, (0, 0, 1)) def test_rotate_x_ip(self): v = Vector3(1, 0, 0) self.assertEqual(v.rotate_x_ip(90), None) self.assertEqual(v.x, 1) self.assertEqual(v.y, 0) self.assertEqual(v.z, 0) v = Vector3(-1, -1, 1) v.rotate_x_ip(-90) self.assertEqual(v.x, -1) self.assertAlmostEqual(v.y, 1) self.assertAlmostEqual(v.z, 1) def test_rotate_x_rad_ip(self): vec = Vector3(0, 1, 0) vec.rotate_x_rad_ip(math.pi / 2) self.assertEqual(vec, (0, 0, 1)) def test_rotate_y(self): v1 = Vector3(1, 0, 0) v2 = v1.rotate_y(90) v3 = v1.rotate_y(90 + 360) self.assertEqual(v1.x, 1) self.assertEqual(v1.y, 0) self.assertEqual(v1.z, 0) self.assertAlmostEqual(v2.x, 0) self.assertEqual(v2.y, 0) self.assertAlmostEqual(v2.z, -1) self.assertAlmostEqual(v3.x, v2.x) self.assertEqual(v3.y, v2.y) self.assertAlmostEqual(v3.z, v2.z) v1 = Vector3(-1, -1, -1) v2 = v1.rotate_y(-90) self.assertAlmostEqual(v2.x, 1) self.assertEqual(v2.y, -1) self.assertAlmostEqual(v2.z, -1) v2 = v1.rotate_y(360) self.assertAlmostEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) self.assertAlmostEqual(v1.z, v2.z) v2 = v1.rotate_y(0) self.assertEqual(v1.x, v2.x) self.assertEqual(v1.y, v2.y) self.assertEqual(v1.z, v2.z) def test_rotate_y_rad(self): vec = Vector3(1, 0, 0) result = vec.rotate_y_rad(math.pi / 2) self.assertEqual(result, (0, 0, -1)) def test_rotate_y_ip(self): v = Vector3(1, 0, 0) self.assertEqual(v.rotate_y_ip(90), None) self.assertAlmostEqual(v.x, 0) self.assertEqual(v.y, 0) self.assertAlmostEqual(v.z, -1) v = Vector3(-1, -1, 1) v.rotate_y_ip(-90) self.assertAlmostEqual(v.x, -1) self.assertEqual(v.y, -1) self.assertAlmostEqual(v.z, -1) def test_rotate_y_rad_ip(self): vec = Vector3(1, 0, 0) vec.rotate_y_rad_ip(math.pi / 2) self.assertEqual(vec, (0, 0, -1)) def test_rotate_z(self): v1 = Vector3(1, 0, 0) v2 = v1.rotate_z(90) v3 = v1.rotate_z(90 + 360) self.assertEqual(v1.x, 1) self.assertEqual(v1.y, 0) self.assertEqual(v1.z, 0) self.assertAlmostEqual(v2.x, 0) self.assertAlmostEqual(v2.y, 1) self.assertEqual(v2.z, 0) self.assertAlmostEqual(v3.x, v2.x) self.assertAlmostEqual(v3.y, v2.y) self.assertEqual(v3.z, v2.z) v1 = Vector3(-1, -1, -1) v2 = v1.rotate_z(-90) self.assertAlmostEqual(v2.x, -1) self.assertAlmostEqual(v2.y, 1) self.assertEqual(v2.z, -1) v2 = v1.rotate_z(360) self.assertAlmostEqual(v1.x, v2.x) self.assertAlmostEqual(v1.y, v2.y) self.assertEqual(v1.z, v2.z) v2 = v1.rotate_z(0) self.assertAlmostEqual(v1.x, v2.x) self.assertAlmostEqual(v1.y, v2.y) self.assertEqual(v1.z, v2.z) def test_rotate_z_rad(self): vec = Vector3(1, 0, 0) result = vec.rotate_z_rad(math.pi / 2) self.assertEqual(result, (0, 1, 0)) def test_rotate_z_ip(self): v = Vector3(1, 0, 0) self.assertEqual(v.rotate_z_ip(90), None) self.assertAlmostEqual(v.x, 0) self.assertAlmostEqual(v.y, 1) self.assertEqual(v.z, 0) v = Vector3(-1, -1, 1) v.rotate_z_ip(-90) self.assertAlmostEqual(v.x, -1) self.assertAlmostEqual(v.y, 1) self.assertEqual(v.z, 1) def test_rotate_z_rad_ip(self): vec = Vector3(1, 0, 0) vec.rotate_z_rad_ip(math.pi / 2) self.assertEqual(vec, (0, 1, 0)) def test_normalize(self): v = self.v1.normalize() # length is 1 self.assertAlmostEqual(v.x * v.x + v.y * v.y + v.z * v.z, 1.0) # v1 is unchanged self.assertEqual(self.v1.x, self.l1[0]) self.assertEqual(self.v1.y, self.l1[1]) self.assertEqual(self.v1.z, self.l1[2]) # v2 is parallel to v1 (tested via cross product) cross = ( (self.v1.y * v.z - self.v1.z * v.y) ** 2 + (self.v1.z * v.x - self.v1.x * v.z) ** 2 + (self.v1.x * v.y - self.v1.y * v.x) ** 2 ) self.assertAlmostEqual(cross, 0.0) self.assertRaises(ValueError, lambda: self.zeroVec.normalize()) def test_normalize_ip(self): v = +self.v1 # v has length != 1 before normalizing self.assertNotEqual(v.x * v.x + v.y * v.y + v.z * v.z, 1.0) # inplace operations should return None self.assertEqual(v.normalize_ip(), None) # length is 1 self.assertAlmostEqual(v.x * v.x + v.y * v.y + v.z * v.z, 1.0) # v2 is parallel to v1 (tested via cross product) cross = ( (self.v1.y * v.z - self.v1.z * v.y) ** 2 + (self.v1.z * v.x - self.v1.x * v.z) ** 2 + (self.v1.x * v.y - self.v1.y * v.x) ** 2 ) self.assertAlmostEqual(cross, 0.0) self.assertRaises(ValueError, lambda: self.zeroVec.normalize_ip()) def test_is_normalized(self): self.assertEqual(self.v1.is_normalized(), False) v = self.v1.normalize() self.assertEqual(v.is_normalized(), True) self.assertEqual(self.e2.is_normalized(), True) self.assertEqual(self.zeroVec.is_normalized(), False) def test_cross(self): def cross(a, b): return Vector3( a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0], ) self.assertEqual(self.v1.cross(self.v2), cross(self.v1, self.v2)) self.assertEqual(self.v1.cross(self.l2), cross(self.v1, self.l2)) self.assertEqual(self.v1.cross(self.t2), cross(self.v1, self.t2)) self.assertEqual(self.v1.cross(self.v2), -self.v2.cross(self.v1)) self.assertEqual(self.v1.cross(self.v1), self.zeroVec) def test_dot(self): self.assertAlmostEqual( self.v1.dot(self.v2), self.v1.x * self.v2.x + self.v1.y * self.v2.y + self.v1.z * self.v2.z, ) self.assertAlmostEqual( self.v1.dot(self.l2), self.v1.x * self.l2[0] + self.v1.y * self.l2[1] + self.v1.z * self.l2[2], ) self.assertAlmostEqual( self.v1.dot(self.t2), self.v1.x * self.t2[0] + self.v1.y * self.t2[1] + self.v1.z * self.t2[2], ) self.assertAlmostEqual(self.v1.dot(self.v2), self.v2.dot(self.v1)) self.assertAlmostEqual(self.v1.dot(self.v2), self.v1 * self.v2) def test_angle_to(self): self.assertEqual(Vector3(1, 1, 0).angle_to((-1, 1, 0)), 90) self.assertEqual(Vector3(1, 0, 0).angle_to((0, 0, -1)), 90) self.assertEqual(Vector3(1, 0, 0).angle_to((-1, 0, 1)), 135) self.assertEqual(abs(Vector3(1, 0, 1).angle_to((-1, 0, -1))), 180) # if we rotate v1 by the angle_to v2 around their cross product # we should look in the same direction self.assertEqual( self.v1.rotate( self.v1.angle_to(self.v2), self.v1.cross(self.v2) ).normalize(), self.v2.normalize(), ) def test_scale_to_length(self): v = Vector3(1, 1, 1) v.scale_to_length(2.5) self.assertEqual(v, Vector3(2.5, 2.5, 2.5) / math.sqrt(3)) self.assertRaises(ValueError, lambda: self.zeroVec.scale_to_length(1)) self.assertEqual(v.scale_to_length(0), None) self.assertEqual(v, self.zeroVec) def test_length(self): self.assertEqual(Vector3(3, 4, 5).length(), math.sqrt(3 * 3 + 4 * 4 + 5 * 5)) self.assertEqual(Vector3(-3, 4, 5).length(), math.sqrt(-3 * -3 + 4 * 4 + 5 * 5)) self.assertEqual(self.zeroVec.length(), 0) def test_length_squared(self): self.assertEqual(Vector3(3, 4, 5).length_squared(), 3 * 3 + 4 * 4 + 5 * 5) self.assertEqual(Vector3(-3, 4, 5).length_squared(), -3 * -3 + 4 * 4 + 5 * 5) self.assertEqual(self.zeroVec.length_squared(), 0) def test_reflect(self): v = Vector3(1, -1, 1) n = Vector3(0, 1, 0) self.assertEqual(v.reflect(n), Vector3(1, 1, 1)) self.assertEqual(v.reflect(3 * n), v.reflect(n)) self.assertEqual(v.reflect(-v), -v) self.assertRaises(ValueError, lambda: v.reflect(self.zeroVec)) def test_reflect_ip(self): v1 = Vector3(1, -1, 1) v2 = Vector3(v1) n = Vector3(0, 1, 0) self.assertEqual(v2.reflect_ip(n), None) self.assertEqual(v2, Vector3(1, 1, 1)) v2 = Vector3(v1) v2.reflect_ip(3 * n) self.assertEqual(v2, v1.reflect(n)) v2 = Vector3(v1) v2.reflect_ip(-v1) self.assertEqual(v2, -v1) self.assertRaises(ValueError, lambda: v2.reflect_ip(self.zeroVec)) def test_distance_to(self): diff = self.v1 - self.v2 self.assertEqual(self.e1.distance_to(self.e2), math.sqrt(2)) self.assertEqual(self.e1.distance_to((0, 1, 0)), math.sqrt(2)) self.assertEqual(self.e1.distance_to([0, 1, 0]), math.sqrt(2)) self.assertEqual( self.v1.distance_to(self.v2), math.sqrt(diff.x * diff.x + diff.y * diff.y + diff.z * diff.z), ) self.assertEqual( self.v1.distance_to(self.t2), math.sqrt(diff.x * diff.x + diff.y * diff.y + diff.z * diff.z), ) self.assertEqual( self.v1.distance_to(self.l2), math.sqrt(diff.x * diff.x + diff.y * diff.y + diff.z * diff.z), ) self.assertEqual(self.v1.distance_to(self.v1), 0) self.assertEqual(self.v1.distance_to(self.t1), 0) self.assertEqual(self.v1.distance_to(self.l1), 0) self.assertEqual(self.v1.distance_to(self.v2), self.v2.distance_to(self.v1)) self.assertEqual(self.v1.distance_to(self.t2), self.v2.distance_to(self.t1)) self.assertEqual(self.v1.distance_to(self.l2), self.v2.distance_to(self.l1)) def test_distance_to_exceptions(self): v2 = Vector2(10, 10) v3 = Vector3(1, 1, 1) # illegal distance Vector3-Vector2 / Vector2-Vector3 self.assertRaises(ValueError, v2.distance_to, v3) self.assertRaises(ValueError, v3.distance_to, v2) # distance to illegal tuple/list positions self.assertRaises(ValueError, v2.distance_to, (1, 1, 1)) self.assertRaises(ValueError, v2.distance_to, (1, 1, 0)) self.assertRaises(ValueError, v2.distance_to, (1,)) self.assertRaises(ValueError, v2.distance_to, [1, 1, 1]) self.assertRaises(ValueError, v2.distance_to, [1, 1, 0]) self.assertRaises( ValueError, v2.distance_to, [ 1, ], ) self.assertRaises(ValueError, v2.distance_to, (1, 1, 1)) # vec3 self.assertRaises(ValueError, v3.distance_to, (1, 1)) self.assertRaises(ValueError, v3.distance_to, (1,)) self.assertRaises(ValueError, v3.distance_to, [1, 1]) self.assertRaises( ValueError, v3.distance_to, [ 1, ], ) # illegal types as positions self.assertRaises(TypeError, v2.distance_to, (1, "hello")) self.assertRaises(TypeError, v2.distance_to, ([], [])) self.assertRaises(TypeError, v2.distance_to, (1, ("hello",))) # illegal args number self.assertRaises(TypeError, v2.distance_to) self.assertRaises(TypeError, v2.distance_to, (1, 1), (1, 2)) self.assertRaises(TypeError, v2.distance_to, (1, 1), (1, 2), 1) def test_distance_squared_to_exceptions(self): v2 = Vector2(10, 10) v3 = Vector3(1, 1, 1) dist_t = v2.distance_squared_to dist_t3 = v3.distance_squared_to # illegal distance Vector3-Vector2 / Vector2-Vector3 self.assertRaises(ValueError, dist_t, v3) self.assertRaises(ValueError, dist_t3, v2) # distance to illegal tuple/list positions self.assertRaises(ValueError, dist_t, (1, 1, 1)) self.assertRaises(ValueError, dist_t, (1, 1, 0)) self.assertRaises(ValueError, dist_t, (1,)) self.assertRaises(ValueError, dist_t, [1, 1, 1]) self.assertRaises(ValueError, dist_t, [1, 1, 0]) self.assertRaises( ValueError, dist_t, [ 1, ], ) self.assertRaises(ValueError, dist_t, (1, 1, 1)) # vec3 self.assertRaises(ValueError, dist_t3, (1, 1)) self.assertRaises(ValueError, dist_t3, (1,)) self.assertRaises(ValueError, dist_t3, [1, 1]) self.assertRaises( ValueError, dist_t3, [ 1, ], ) # illegal types as positions self.assertRaises(TypeError, dist_t, (1, "hello")) self.assertRaises(TypeError, dist_t, ([], [])) self.assertRaises(TypeError, dist_t, (1, ("hello",))) # illegal args number self.assertRaises(TypeError, dist_t) self.assertRaises(TypeError, dist_t, (1, 1), (1, 2)) self.assertRaises(TypeError, dist_t, (1, 1), (1, 2), 1) def test_distance_squared_to(self): diff = self.v1 - self.v2 self.assertEqual(self.e1.distance_squared_to(self.e2), 2) self.assertEqual(self.e1.distance_squared_to((0, 1, 0)), 2) self.assertEqual(self.e1.distance_squared_to([0, 1, 0]), 2) self.assertAlmostEqual( self.v1.distance_squared_to(self.v2), diff.x * diff.x + diff.y * diff.y + diff.z * diff.z, ) self.assertAlmostEqual( self.v1.distance_squared_to(self.t2), diff.x * diff.x + diff.y * diff.y + diff.z * diff.z, ) self.assertAlmostEqual( self.v1.distance_squared_to(self.l2), diff.x * diff.x + diff.y * diff.y + diff.z * diff.z, ) self.assertEqual(self.v1.distance_squared_to(self.v1), 0) self.assertEqual(self.v1.distance_squared_to(self.t1), 0) self.assertEqual(self.v1.distance_squared_to(self.l1), 0) self.assertEqual( self.v1.distance_squared_to(self.v2), self.v2.distance_squared_to(self.v1) ) self.assertEqual( self.v1.distance_squared_to(self.t2), self.v2.distance_squared_to(self.t1) ) self.assertEqual( self.v1.distance_squared_to(self.l2), self.v2.distance_squared_to(self.l1) ) def test_swizzle(self): self.assertEqual(self.v1.yxz, (self.v1.y, self.v1.x, self.v1.z)) self.assertEqual( self.v1.xxyyzzxyz, ( self.v1.x, self.v1.x, self.v1.y, self.v1.y, self.v1.z, self.v1.z, self.v1.x, self.v1.y, self.v1.z, ), ) self.v1.xyz = self.t2 self.assertEqual(self.v1, self.t2) self.v1.zxy = self.t2 self.assertEqual(self.v1, (self.t2[1], self.t2[2], self.t2[0])) self.v1.yz = self.t2[:2] self.assertEqual(self.v1, (self.t2[1], self.t2[0], self.t2[1])) self.assertEqual(type(self.v1), Vector3) @unittest.skipIf(IS_PYPY, "known pypy failure") def test_invalid_swizzle(self): def invalidSwizzleX(): Vector3().xx = (1, 2) def invalidSwizzleY(): Vector3().yy = (1, 2) def invalidSwizzleZ(): Vector3().zz = (1, 2) def invalidSwizzleW(): Vector3().ww = (1, 2) self.assertRaises(AttributeError, invalidSwizzleX) self.assertRaises(AttributeError, invalidSwizzleY) self.assertRaises(AttributeError, invalidSwizzleZ) self.assertRaises(AttributeError, invalidSwizzleW) def invalidAssignment(): Vector3().xy = 3 self.assertRaises(TypeError, invalidAssignment) def test_swizzle_return_types(self): self.assertEqual(type(self.v1.x), float) self.assertEqual(type(self.v1.xy), Vector2) self.assertEqual(type(self.v1.xyz), Vector3) # but we don't have vector4 or above... so tuple. self.assertEqual(type(self.v1.xyxy), tuple) self.assertEqual(type(self.v1.xyxyx), tuple) def test_dir_works(self): # not every single one of the attributes... attributes = {"lerp", "normalize", "normalize_ip", "reflect", "slerp", "x", "y"} # check if this selection of attributes are all there. self.assertTrue(attributes.issubset(set(dir(self.v1)))) def test_elementwise(self): # behaviour for "elementwise op scalar" self.assertEqual( self.v1.elementwise() + self.s1, (self.v1.x + self.s1, self.v1.y + self.s1, self.v1.z + self.s1), ) self.assertEqual( self.v1.elementwise() - self.s1, (self.v1.x - self.s1, self.v1.y - self.s1, self.v1.z - self.s1), ) self.assertEqual( self.v1.elementwise() * self.s2, (self.v1.x * self.s2, self.v1.y * self.s2, self.v1.z * self.s2), ) self.assertEqual( self.v1.elementwise() / self.s2, (self.v1.x / self.s2, self.v1.y / self.s2, self.v1.z / self.s2), ) self.assertEqual( self.v1.elementwise() // self.s1, (self.v1.x // self.s1, self.v1.y // self.s1, self.v1.z // self.s1), ) self.assertEqual( self.v1.elementwise() ** self.s1, (self.v1.x**self.s1, self.v1.y**self.s1, self.v1.z**self.s1), ) self.assertEqual( self.v1.elementwise() % self.s1, (self.v1.x % self.s1, self.v1.y % self.s1, self.v1.z % self.s1), ) self.assertEqual( self.v1.elementwise() > self.s1, self.v1.x > self.s1 and self.v1.y > self.s1 and self.v1.z > self.s1, ) self.assertEqual( self.v1.elementwise() < self.s1, self.v1.x < self.s1 and self.v1.y < self.s1 and self.v1.z < self.s1, ) self.assertEqual( self.v1.elementwise() == self.s1, self.v1.x == self.s1 and self.v1.y == self.s1 and self.v1.z == self.s1, ) self.assertEqual( self.v1.elementwise() != self.s1, self.v1.x != self.s1 and self.v1.y != self.s1 and self.v1.z != self.s1, ) self.assertEqual( self.v1.elementwise() >= self.s1, self.v1.x >= self.s1 and self.v1.y >= self.s1 and self.v1.z >= self.s1, ) self.assertEqual( self.v1.elementwise() <= self.s1, self.v1.x <= self.s1 and self.v1.y <= self.s1 and self.v1.z <= self.s1, ) # behaviour for "scalar op elementwise" self.assertEqual(5 + self.v1.elementwise(), Vector3(5, 5, 5) + self.v1) self.assertEqual(3.5 - self.v1.elementwise(), Vector3(3.5, 3.5, 3.5) - self.v1) self.assertEqual(7.5 * self.v1.elementwise(), 7.5 * self.v1) self.assertEqual( -3.5 / self.v1.elementwise(), (-3.5 / self.v1.x, -3.5 / self.v1.y, -3.5 / self.v1.z), ) self.assertEqual( -3.5 // self.v1.elementwise(), (-3.5 // self.v1.x, -3.5 // self.v1.y, -3.5 // self.v1.z), ) self.assertEqual( -(3.5 ** self.v1.elementwise()), (-(3.5**self.v1.x), -(3.5**self.v1.y), -(3.5**self.v1.z)), ) self.assertEqual( 3 % self.v1.elementwise(), (3 % self.v1.x, 3 % self.v1.y, 3 % self.v1.z) ) self.assertEqual( 2 < self.v1.elementwise(), 2 < self.v1.x and 2 < self.v1.y and 2 < self.v1.z ) self.assertEqual( 2 > self.v1.elementwise(), 2 > self.v1.x and 2 > self.v1.y and 2 > self.v1.z ) self.assertEqual( 1 == self.v1.elementwise(), 1 == self.v1.x and 1 == self.v1.y and 1 == self.v1.z, ) self.assertEqual( 1 != self.v1.elementwise(), 1 != self.v1.x and 1 != self.v1.y and 1 != self.v1.z, ) self.assertEqual( 2 <= self.v1.elementwise(), 2 <= self.v1.x and 2 <= self.v1.y and 2 <= self.v1.z, ) self.assertEqual( -7 >= self.v1.elementwise(), -7 >= self.v1.x and -7 >= self.v1.y and -7 >= self.v1.z, ) self.assertEqual( -7 != self.v1.elementwise(), -7 != self.v1.x and -7 != self.v1.y and -7 != self.v1.z, ) # behaviour for "elementwise op vector" self.assertEqual(type(self.v1.elementwise() * self.v2), type(self.v1)) self.assertEqual(self.v1.elementwise() + self.v2, self.v1 + self.v2) self.assertEqual(self.v1.elementwise() + self.v2, self.v1 + self.v2) self.assertEqual(self.v1.elementwise() - self.v2, self.v1 - self.v2) self.assertEqual( self.v1.elementwise() * self.v2, (self.v1.x * self.v2.x, self.v1.y * self.v2.y, self.v1.z * self.v2.z), ) self.assertEqual( self.v1.elementwise() / self.v2, (self.v1.x / self.v2.x, self.v1.y / self.v2.y, self.v1.z / self.v2.z), ) self.assertEqual( self.v1.elementwise() // self.v2, (self.v1.x // self.v2.x, self.v1.y // self.v2.y, self.v1.z // self.v2.z), ) self.assertEqual( self.v1.elementwise() ** self.v2, (self.v1.x**self.v2.x, self.v1.y**self.v2.y, self.v1.z**self.v2.z), ) self.assertEqual( self.v1.elementwise() % self.v2, (self.v1.x % self.v2.x, self.v1.y % self.v2.y, self.v1.z % self.v2.z), ) self.assertEqual( self.v1.elementwise() > self.v2, self.v1.x > self.v2.x and self.v1.y > self.v2.y and self.v1.z > self.v2.z, ) self.assertEqual( self.v1.elementwise() < self.v2, self.v1.x < self.v2.x and self.v1.y < self.v2.y and self.v1.z < self.v2.z, ) self.assertEqual( self.v1.elementwise() >= self.v2, self.v1.x >= self.v2.x and self.v1.y >= self.v2.y and self.v1.z >= self.v2.z, ) self.assertEqual( self.v1.elementwise() <= self.v2, self.v1.x <= self.v2.x and self.v1.y <= self.v2.y and self.v1.z <= self.v2.z, ) self.assertEqual( self.v1.elementwise() == self.v2, self.v1.x == self.v2.x and self.v1.y == self.v2.y and self.v1.z == self.v2.z, ) self.assertEqual( self.v1.elementwise() != self.v2, self.v1.x != self.v2.x and self.v1.y != self.v2.y and self.v1.z != self.v2.z, ) # behaviour for "vector op elementwise" self.assertEqual(self.v2 + self.v1.elementwise(), self.v2 + self.v1) self.assertEqual(self.v2 - self.v1.elementwise(), self.v2 - self.v1) self.assertEqual( self.v2 * self.v1.elementwise(), (self.v2.x * self.v1.x, self.v2.y * self.v1.y, self.v2.z * self.v1.z), ) self.assertEqual( self.v2 / self.v1.elementwise(), (self.v2.x / self.v1.x, self.v2.y / self.v1.y, self.v2.z / self.v1.z), ) self.assertEqual( self.v2 // self.v1.elementwise(), (self.v2.x // self.v1.x, self.v2.y // self.v1.y, self.v2.z // self.v1.z), ) self.assertEqual( self.v2 ** self.v1.elementwise(), (self.v2.x**self.v1.x, self.v2.y**self.v1.y, self.v2.z**self.v1.z), ) self.assertEqual( self.v2 % self.v1.elementwise(), (self.v2.x % self.v1.x, self.v2.y % self.v1.y, self.v2.z % self.v1.z), ) self.assertEqual( self.v2 < self.v1.elementwise(), self.v2.x < self.v1.x and self.v2.y < self.v1.y and self.v2.z < self.v1.z, ) self.assertEqual( self.v2 > self.v1.elementwise(), self.v2.x > self.v1.x and self.v2.y > self.v1.y and self.v2.z > self.v1.z, ) self.assertEqual( self.v2 <= self.v1.elementwise(), self.v2.x <= self.v1.x and self.v2.y <= self.v1.y and self.v2.z <= self.v1.z, ) self.assertEqual( self.v2 >= self.v1.elementwise(), self.v2.x >= self.v1.x and self.v2.y >= self.v1.y and self.v2.z >= self.v1.z, ) self.assertEqual( self.v2 == self.v1.elementwise(), self.v2.x == self.v1.x and self.v2.y == self.v1.y and self.v2.z == self.v1.z, ) self.assertEqual( self.v2 != self.v1.elementwise(), self.v2.x != self.v1.x and self.v2.y != self.v1.y and self.v2.z != self.v1.z, ) # behaviour for "elementwise op elementwise" self.assertEqual( self.v2.elementwise() + self.v1.elementwise(), self.v2 + self.v1 ) self.assertEqual( self.v2.elementwise() - self.v1.elementwise(), self.v2 - self.v1 ) self.assertEqual( self.v2.elementwise() * self.v1.elementwise(), (self.v2.x * self.v1.x, self.v2.y * self.v1.y, self.v2.z * self.v1.z), ) self.assertEqual( self.v2.elementwise() / self.v1.elementwise(), (self.v2.x / self.v1.x, self.v2.y / self.v1.y, self.v2.z / self.v1.z), ) self.assertEqual( self.v2.elementwise() // self.v1.elementwise(), (self.v2.x // self.v1.x, self.v2.y // self.v1.y, self.v2.z // self.v1.z), ) self.assertEqual( self.v2.elementwise() ** self.v1.elementwise(), (self.v2.x**self.v1.x, self.v2.y**self.v1.y, self.v2.z**self.v1.z), ) self.assertEqual( self.v2.elementwise() % self.v1.elementwise(), (self.v2.x % self.v1.x, self.v2.y % self.v1.y, self.v2.z % self.v1.z), ) self.assertEqual( self.v2.elementwise() < self.v1.elementwise(), self.v2.x < self.v1.x and self.v2.y < self.v1.y and self.v2.z < self.v1.z, ) self.assertEqual( self.v2.elementwise() > self.v1.elementwise(), self.v2.x > self.v1.x and self.v2.y > self.v1.y and self.v2.z > self.v1.z, ) self.assertEqual( self.v2.elementwise() <= self.v1.elementwise(), self.v2.x <= self.v1.x and self.v2.y <= self.v1.y and self.v2.z <= self.v1.z, ) self.assertEqual( self.v2.elementwise() >= self.v1.elementwise(), self.v2.x >= self.v1.x and self.v2.y >= self.v1.y and self.v2.z >= self.v1.z, ) self.assertEqual( self.v2.elementwise() == self.v1.elementwise(), self.v2.x == self.v1.x and self.v2.y == self.v1.y and self.v2.z == self.v1.z, ) self.assertEqual( self.v2.elementwise() != self.v1.elementwise(), self.v2.x != self.v1.x and self.v2.y != self.v1.y and self.v2.z != self.v1.z, ) # other behaviour self.assertEqual( abs(self.v1.elementwise()), (abs(self.v1.x), abs(self.v1.y), abs(self.v1.z)) ) self.assertEqual(-self.v1.elementwise(), -self.v1) self.assertEqual(+self.v1.elementwise(), +self.v1) self.assertEqual(bool(self.v1.elementwise()), bool(self.v1)) self.assertEqual(bool(Vector3().elementwise()), bool(Vector3())) self.assertEqual(self.zeroVec.elementwise() ** 0, (1, 1, 1)) self.assertRaises(ValueError, lambda: pow(Vector3(-1, 0, 0).elementwise(), 1.2)) self.assertRaises(ZeroDivisionError, lambda: self.zeroVec.elementwise() ** -1) self.assertRaises(ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() / 0) self.assertRaises( ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() // 0 ) self.assertRaises(ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() % 0) self.assertRaises( ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() / self.zeroVec ) self.assertRaises( ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() // self.zeroVec ) self.assertRaises( ZeroDivisionError, lambda: Vector3(1, 1, 1).elementwise() % self.zeroVec ) self.assertRaises(ZeroDivisionError, lambda: 2 / self.zeroVec.elementwise()) self.assertRaises(ZeroDivisionError, lambda: 2 // self.zeroVec.elementwise()) self.assertRaises(ZeroDivisionError, lambda: 2 % self.zeroVec.elementwise()) def test_slerp(self): self.assertRaises(ValueError, lambda: self.zeroVec.slerp(self.v1, 0.5)) self.assertRaises(ValueError, lambda: self.v1.slerp(self.zeroVec, 0.5)) self.assertRaises(ValueError, lambda: self.zeroVec.slerp(self.zeroVec, 0.5)) steps = 10 angle_step = self.e1.angle_to(self.e2) / steps for i, u in ( (i, self.e1.slerp(self.e2, i / float(steps))) for i in range(steps + 1) ): self.assertAlmostEqual(u.length(), 1) self.assertAlmostEqual(self.e1.angle_to(u), i * angle_step) self.assertEqual(u, self.e2) v1 = Vector3(100, 0, 0) v2 = Vector3(0, 10, 7) radial_factor = v2.length() / v1.length() for i, u in ((i, v1.slerp(v2, -i / float(steps))) for i in range(steps + 1)): self.assertAlmostEqual( u.length(), (v2.length() - v1.length()) * (float(i) / steps) + v1.length(), ) self.assertEqual(u, v2) self.assertEqual(v1.slerp(v1, 0.5), v1) self.assertEqual(v2.slerp(v2, 0.5), v2) self.assertRaises(ValueError, lambda: v1.slerp(-v1, 0.5)) def test_lerp(self): v1 = Vector3(0, 0, 0) v2 = Vector3(10, 10, 10) self.assertEqual(v1.lerp(v2, 0.5), (5, 5, 5)) self.assertRaises(ValueError, lambda: v1.lerp(v2, 2.5)) v1 = Vector3(-10, -5, -20) v2 = Vector3(10, 10, -20) self.assertEqual(v1.lerp(v2, 0.5), (0, 2.5, -20)) def test_spherical(self): v = Vector3() v.from_spherical(self.v1.as_spherical()) self.assertEqual(self.v1, v) self.assertEqual(self.v1, Vector3.from_spherical(self.v1.as_spherical())) self.assertEqual(self.e1.as_spherical(), (1, 90, 0)) self.assertEqual(self.e2.as_spherical(), (1, 90, 90)) self.assertEqual(self.e3.as_spherical(), (1, 0, 0)) self.assertEqual((2 * self.e2).as_spherical(), (2, 90, 90)) self.assertRaises(TypeError, lambda: v.from_spherical((None, None, None))) self.assertRaises(TypeError, lambda: v.from_spherical("abc")) self.assertRaises(TypeError, lambda: v.from_spherical((None, 1, 2))) self.assertRaises(TypeError, lambda: v.from_spherical((1, 2, 3, 4))) self.assertRaises(TypeError, lambda: v.from_spherical((1, 2))) self.assertRaises(TypeError, lambda: v.from_spherical(1, 2, 3)) self.assertRaises(TypeError, lambda: Vector3.from_spherical((None, None, None))) self.assertRaises(TypeError, lambda: Vector3.from_spherical("abc")) self.assertRaises(TypeError, lambda: Vector3.from_spherical((None, 1, 2))) self.assertRaises(TypeError, lambda: Vector3.from_spherical((1, 2, 3, 4))) self.assertRaises(TypeError, lambda: Vector3.from_spherical((1, 2))) self.assertRaises(TypeError, lambda: Vector3.from_spherical(1, 2, 3)) v.from_spherical((0.5, 90, 90)) self.assertEqual(v, 0.5 * self.e2) self.assertEqual(Vector3.from_spherical((0.5, 90, 90)), 0.5 * self.e2) self.assertEqual(Vector3.from_spherical((0.5, 90, 90)), v) def test_inplace_operators(self): v = Vector3(1, 1, 1) v *= 2 self.assertEqual(v, (2.0, 2.0, 2.0)) v = Vector3(4, 4, 4) v /= 2 self.assertEqual(v, (2.0, 2.0, 2.0)) v = Vector3(3.0, 3.0, 3.0) v -= (1, 1, 1) self.assertEqual(v, (2.0, 2.0, 2.0)) v = Vector3(3.0, 3.0, 3.0) v += (1, 1, 1) self.assertEqual(v, (4.0, 4.0, 4.0)) def test_pickle(self): import pickle v2 = Vector2(1, 2) v3 = Vector3(1, 2, 3) self.assertEqual(pickle.loads(pickle.dumps(v2)), v2) self.assertEqual(pickle.loads(pickle.dumps(v3)), v3) def test_subclass_operation(self): class Vector(pygame.math.Vector3): pass v = Vector(2.0, 2.0, 2.0) v *= 2 self.assertEqual(v, (4.0, 4.0, 4.0)) def test_swizzle_constants(self): """We can get constant values from a swizzle.""" v = Vector2(7, 6) self.assertEqual( v.xy1, (7.0, 6.0, 1.0), ) def test_swizzle_four_constants(self): """We can get 4 constant values from a swizzle.""" v = Vector2(7, 6) self.assertEqual( v.xy01, (7.0, 6.0, 0.0, 1.0), ) def test_swizzle_oob(self): """An out-of-bounds swizzle raises an AttributeError.""" v = Vector2(7, 6) with self.assertRaises(AttributeError): v.xyz @unittest.skipIf(IS_PYPY, "known pypy failure") def test_swizzle_set_oob(self): """An out-of-bounds swizzle set raises an AttributeError.""" v = Vector2(7, 6) with self.assertRaises(AttributeError): v.xz = (1, 1) def test_project_v3_onto_x_axis(self): """Project onto x-axis, e.g. get the component pointing in the x-axis direction.""" # arrange v = Vector3(2, 3, 4) x_axis = Vector3(10, 0, 0) # act actual = v.project(x_axis) # assert self.assertEqual(v.x, actual.x) self.assertEqual(0, actual.y) self.assertEqual(0, actual.z) def test_project_v3_onto_y_axis(self): """Project onto y-axis, e.g. get the component pointing in the y-axis direction.""" # arrange v = Vector3(2, 3, 4) y_axis = Vector3(0, 100, 0) # act actual = v.project(y_axis) # assert self.assertEqual(0, actual.x) self.assertEqual(v.y, actual.y) self.assertEqual(0, actual.z) def test_project_v3_onto_z_axis(self): """Project onto z-axis, e.g. get the component pointing in the z-axis direction.""" # arrange v = Vector3(2, 3, 4) y_axis = Vector3(0, 0, 77) # act actual = v.project(y_axis) # assert self.assertEqual(0, actual.x) self.assertEqual(0, actual.y) self.assertEqual(v.z, actual.z) def test_project_v3_onto_other(self): """Project onto other vector.""" # arrange v = Vector3(2, 3, 4) other = Vector3(3, 5, 7) # act actual = v.project(other) # assert expected = v.dot(other) / other.dot(other) * other self.assertAlmostEqual(expected.x, actual.x) self.assertAlmostEqual(expected.y, actual.y) self.assertAlmostEqual(expected.z, actual.z) def test_project_v3_onto_other_as_tuple(self): """Project onto other tuple as vector.""" # arrange v = Vector3(2, 3, 4) other = Vector3(3, 5, 7) # act actual = v.project(tuple(other)) # assert expected = v.dot(other) / other.dot(other) * other self.assertAlmostEqual(expected.x, actual.x) self.assertAlmostEqual(expected.y, actual.y) self.assertAlmostEqual(expected.z, actual.z) def test_project_v3_onto_other_as_list(self): """Project onto other list as vector.""" # arrange v = Vector3(2, 3, 4) other = Vector3(3, 5, 7) # act actual = v.project(list(other)) # assert expected = v.dot(other) / other.dot(other) * other self.assertAlmostEqual(expected.x, actual.x) self.assertAlmostEqual(expected.y, actual.y) self.assertAlmostEqual(expected.z, actual.z) def test_project_v3_raises_if_other_has_zero_length(self): """Check if exception is raise when projected on vector has zero length.""" # arrange v = Vector3(2, 3, 4) other = Vector3(0, 0, 0) # act / assert self.assertRaises(ValueError, v.project, other) def test_project_v3_raises_if_other_is_not_iterable(self): """Check if exception is raise when projected on vector is not iterable.""" # arrange v = Vector3(2, 3, 4) other = 10 # act / assert self.assertRaises(TypeError, v.project, other) def test_collection_abc(self): v = Vector3(3, 4, 5) self.assertTrue(isinstance(v, Collection)) self.assertFalse(isinstance(v, Sequence)) def test_clamp_mag_v3_max(self): v1 = Vector3(7, 2, 2) v2 = v1.clamp_magnitude(5) v3 = v1.clamp_magnitude(0, 5) self.assertEqual(v2, v3) v1.clamp_magnitude_ip(5) self.assertEqual(v1, v2) v1.clamp_magnitude_ip(0, 5) self.assertEqual(v1, v2) expected_v2 = Vector3(4.635863249727653, 1.3245323570650438, 1.3245323570650438) self.assertEqual(expected_v2, v2) def test_clamp_mag_v3_min(self): v1 = Vector3(3, 1, 2) v2 = v1.clamp_magnitude(5, 10) v1.clamp_magnitude_ip(5, 10) expected_v2 = Vector3(4.008918628686366, 1.3363062095621219, 2.6726124191242437) self.assertEqual(expected_v2, v1) self.assertEqual(expected_v2, v2) def test_clamp_mag_v3_no_change(self): v1 = Vector3(1, 2, 3) for args in ( (1, 6), (1.12, 5.55), (0.93, 6.83), (7.6,), ): with self.subTest(args=args): v2 = v1.clamp_magnitude(*args) v1.clamp_magnitude_ip(*args) self.assertEqual(v1, v2) self.assertEqual(v1, Vector3(1, 2, 3)) def test_clamp_mag_v3_edge_cases(self): v1 = Vector3(1, 2, 1) v2 = v1.clamp_magnitude(6, 6) v1.clamp_magnitude_ip(6, 6) self.assertEqual(v1, v2) self.assertAlmostEqual(v1.length(), 6) v2 = v1.clamp_magnitude(0) v1.clamp_magnitude_ip(0, 0) self.assertEqual(v1, v2) self.assertEqual(v1, Vector3()) def test_clamp_mag_v3_errors(self): v1 = Vector3(1, 2, 2) for invalid_args in ( ("foo", "bar"), (1, 2, 3), (342.234, "test"), ): with self.subTest(invalid_args=invalid_args): self.assertRaises(TypeError, v1.clamp_magnitude, *invalid_args) self.assertRaises(TypeError, v1.clamp_magnitude_ip, *invalid_args) for invalid_args in ( (-1,), (4, 3), # min > max (-4, 10), (-4, -2), ): with self.subTest(invalid_args=invalid_args): self.assertRaises(ValueError, v1.clamp_magnitude, *invalid_args) self.assertRaises(ValueError, v1.clamp_magnitude_ip, *invalid_args) # 0 vector v2 = Vector3() self.assertRaises(ValueError, v2.clamp_magnitude, 3) self.assertRaises(ValueError, v2.clamp_magnitude_ip, 4) def test_subclassing_v3(self): """Check if Vector3 is subclassable""" v = Vector3(4, 2, 0) class TestVector(Vector3): def supermariobrosiscool(self): return 722 other = TestVector(4, 1, 0) self.assertEqual(other.supermariobrosiscool(), 722) self.assertNotEqual(type(v), TestVector) self.assertNotEqual(type(v), type(other.copy())) self.assertEqual(TestVector, type(other.reflect(v))) self.assertEqual(TestVector, type(other.lerp(v, 1))) self.assertEqual(TestVector, type(other.slerp(v, 1))) self.assertEqual(TestVector, type(other.rotate(5, v))) self.assertEqual(TestVector, type(other.rotate_rad(5, v))) self.assertEqual(TestVector, type(other.project(v))) self.assertEqual(TestVector, type(other.move_towards(v, 5))) self.assertEqual(TestVector, type(other.clamp_magnitude(5))) self.assertEqual(TestVector, type(other.clamp_magnitude(1, 5))) self.assertEqual(TestVector, type(other.elementwise() + other)) other1 = TestVector(4, 2, 0) self.assertEqual(type(other + other1), TestVector) self.assertEqual(type(other - other1), TestVector) self.assertEqual(type(other * 3), TestVector) self.assertEqual(type(other / 3), TestVector) self.assertEqual(type(other.elementwise() ** 3), TestVector) def test_move_towards_basic(self): expected = Vector3(7.93205057, 2006.38284641, 43.80780420) origin = Vector3(7.22, 2004.0, 42.13) target = Vector3(12.30, 2021.0, 54.1) change_ip = origin.copy() change = origin.move_towards(target, 3) change_ip.move_towards_ip(target, 3) self.assertEqual(change, expected) self.assertEqual(change_ip, expected) def test_move_towards_max_distance(self): expected = Vector3(12.30, 2021, 42.5) origin = Vector3(7.22, 2004.0, 17.5) change_ip = origin.copy() change = origin.move_towards(expected, 100) change_ip.move_towards_ip(expected, 100) self.assertEqual(change, expected) self.assertEqual(change_ip, expected) def test_move_nowhere(self): origin = Vector3(7.22, 2004.0, 24.5) target = Vector3(12.30, 2021.0, 3.2) change_ip = origin.copy() change = origin.move_towards(target, 0) change_ip.move_towards_ip(target, 0) self.assertEqual(change, origin) self.assertEqual(change_ip, origin) def test_move_away(self): expected = Vector3(6.74137906, 2002.39831577, 49.70890994) origin = Vector3(7.22, 2004.0, 52.2) target = Vector3(12.30, 2021.0, 78.64) change_ip = origin.copy() change = origin.move_towards(target, -3) change_ip.move_towards_ip(target, -3) self.assertEqual(change, expected) self.assertEqual(change_ip, expected) def test_move_towards_self(self): vec = Vector3(6.36, 2001.13, -123.14) vec2 = vec.copy() for dist in (-3.54, -1, 0, 0.234, 12): self.assertEqual(vec.move_towards(vec2, dist), vec) vec2.move_towards_ip(vec, dist) self.assertEqual(vec, vec2) def test_move_towards_errors(self): origin = Vector3(7.22, 2004.0, 4.1) target = Vector3(12.30, 2021.0, -421.5) self.assertRaises(TypeError, origin.move_towards, target, 3, 2) self.assertRaises(TypeError, origin.move_towards_ip, target, 3, 2) self.assertRaises(TypeError, origin.move_towards, target, "a") self.assertRaises(TypeError, origin.move_towards_ip, target, "b") self.assertRaises(TypeError, origin.move_towards, "c", 3) self.assertRaises(TypeError, origin.move_towards_ip, "d", 3) if __name__ == "__main__": unittest.main()