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math_test.py
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math_test.py
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# -*- coding: utf-8 -*-
import sys
import unittest
import math
import platform
import pygame.math
from pygame.math import Vector2, Vector3
IS_PYPY = "PyPy" == platform.python_implementation()
PY3 = sys.version_info.major == 3
class Vector2TypeTest(unittest.TestCase):
def setUp(self):
pygame.math.enable_swizzling()
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 tearDown(self):
pygame.math.enable_swizzling()
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 testAttributAccess(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 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 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__(), "<Vector2(1.2, 3.4)>")
self.assertEqual(v, Vector2(v.__repr__()))
def testIter(self):
it = self.v1.__iter__()
if PY3:
next_ = it.__next__
else:
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_ip_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:
vec = Vector2(initialVec)
vec.rotate_ip_rad(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.assertAlmostEqual(
self.v1.distance_to(self.v2), 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.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.assertAlmostEqual(
self.v1.distance_squared_to(self.v2), 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.v2), self.v2.distance_squared_to(self.v1)
)
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.assertTrue(hasattr(pygame.math, "enable_swizzling"))
self.assertTrue(hasattr(pygame.math, "disable_swizzling"))
# swizzling not disabled by default
pygame.math.disable_swizzling()
self.assertRaises(AttributeError, lambda: self.v1.yx)
pygame.math.enable_swizzling()
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(), "盲")
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):
# behaviour for "elementwise op scalar"
self.assertEqual(
self.v1.elementwise() + self.s1, (self.v1.x + self.s1, self.v1.y + self.s1)
)
self.assertEqual(
self.v1.elementwise() - self.s1, (self.v1.x - self.s1, self.v1.y - self.s1)
)
self.assertEqual(
self.v1.elementwise() * self.s2, (self.v1.x * self.s2, self.v1.y * self.s2)
)
self.assertEqual(
self.v1.elementwise() / self.s2, (self.v1.x / self.s2, self.v1.y / self.s2)
)
self.assertEqual(
self.v1.elementwise() // self.s1,
(self.v1.x // self.s1, self.v1.y // self.s1),
)
self.assertEqual(
self.v1.elementwise() ** self.s1,
(self.v1.x ** self.s1, self.v1.y ** self.s1),
)
self.assertEqual(
self.v1.elementwise() % self.s1, (self.v1.x % self.s1, self.v1.y % self.s1)
)
self.assertEqual(
self.v1.elementwise() > self.s1, self.v1.x > self.s1 and self.v1.y > self.s1
)
self.assertEqual(
self.v1.elementwise() < self.s1, self.v1.x < self.s1 and self.v1.y < self.s1
)
self.assertEqual(
self.v1.elementwise() == self.s1,
self.v1.x == self.s1 and self.v1.y == self.s1,
)
self.assertEqual(
self.v1.elementwise() != self.s1,
self.v1.x != self.s1 and self.v1.y != self.s1,
)
self.assertEqual(
self.v1.elementwise() >= self.s1,
self.v1.x >= self.s1 and self.v1.y >= self.s1,
)
self.assertEqual(
self.v1.elementwise() <= self.s1,
self.v1.x <= self.s1 and self.v1.y <= self.s1,
)
self.assertEqual(
self.v1.elementwise() != self.s1,
self.v1.x != self.s1 and self.v1.y != self.s1,
)
# behaviour for "scalar op elementwise"
self.assertEqual(5 + self.v1.elementwise(), Vector2(5, 5) + self.v1)
self.assertEqual(3.5 - self.v1.elementwise(), Vector2(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)
)
self.assertEqual(
-3.5 // self.v1.elementwise(), (-3.5 // self.v1.x, -3.5 // self.v1.y)
)
self.assertEqual(
-3.5 ** self.v1.elementwise(), (-3.5 ** self.v1.x, -3.5 ** self.v1.y)
)
self.assertEqual(3 % self.v1.elementwise(), (3 % self.v1.x, 3 % self.v1.y))
self.assertEqual(2 < self.v1.elementwise(), 2 < self.v1.x and 2 < self.v1.y)
self.assertEqual(2 > self.v1.elementwise(), 2 > self.v1.x and 2 > self.v1.y)
self.assertEqual(1 == self.v1.elementwise(), 1 == self.v1.x and 1 == self.v1.y)
self.assertEqual(1 != self.v1.elementwise(), 1 != self.v1.x and 1 != self.v1.y)
self.assertEqual(2 <= self.v1.elementwise(), 2 <= self.v1.x and 2 <= self.v1.y)
self.assertEqual(
-7 >= self.v1.elementwise(), -7 >= self.v1.x and -7 >= self.v1.y
)
self.assertEqual(
-7 != self.v1.elementwise(), -7 != self.v1.x and -7 != self.v1.y
)
# 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.assertEqual(
self.v1.elementwise() / self.v2,
(self.v1.x / self.v2.x, self.v1.y / self.v2.y),
)
self.assertEqual(
self.v1.elementwise() // self.v2,
(self.v1.x // self.v2.x, self.v1.y // self.v2.y),
)
self.assertEqual(
self.v1.elementwise() ** self.v2,
(self.v1.x ** self.v2.x, self.v1.y ** self.v2.y),
)
self.assertEqual(
self.v1.elementwise() % self.v2,
(self.v1.x % self.v2.x, self.v1.y % self.v2.y),
)
self.assertEqual(
self.v1.elementwise() > self.v2,
self.v1.x > self.v2.x and self.v1.y > self.v2.y,
)
self.assertEqual(
self.v1.elementwise() < self.v2,
self.v1.x < self.v2.x and self.v1.y < self.v2.y,
)
self.assertEqual(
self.v1.elementwise() >= self.v2,
self.v1.x >= self.v2.x and self.v1.y >= self.v2.y,
)
self.assertEqual(
self.v1.elementwise() <= self.v2,
self.v1.x <= self.v2.x and self.v1.y <= self.v2.y,
)
self.assertEqual(
self.v1.elementwise() == self.v2,
self.v1.x == self.v2.x and self.v1.y == self.v2.y,
)
self.assertEqual(
self.v1.elementwise() != self.v2,
self.v1.x != self.v2.x and self.v1.y != self.v2.y,
)
# 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.assertEqual(
self.v2 / self.v1.elementwise(),
(self.v2.x / self.v1.x, self.v2.y / self.v1.y),
)
self.assertEqual(
self.v2 // self.v1.elementwise(),
(self.v2.x // self.v1.x, self.v2.y // self.v1.y),
)
self.assertEqual(
self.v2 ** self.v1.elementwise(),
(self.v2.x ** self.v1.x, self.v2.y ** self.v1.y),
)
self.assertEqual(
self.v2 % self.v1.elementwise(),
(self.v2.x % self.v1.x, self.v2.y % self.v1.y),
)
self.assertEqual(
self.v2 < self.v1.elementwise(),
self.v2.x < self.v1.x and self.v2.y < self.v1.y,
)
self.assertEqual(
self.v2 > self.v1.elementwise(),
self.v2.x > self.v1.x and self.v2.y > self.v1.y,
)
self.assertEqual(
self.v2 <= self.v1.elementwise(),
self.v2.x <= self.v1.x and self.v2.y <= self.v1.y,
)
self.assertEqual(
self.v2 >= self.v1.elementwise(),
self.v2.x >= self.v1.x and self.v2.y >= self.v1.y,
)
self.assertEqual(
self.v2 == self.v1.elementwise(),
self.v2.x == self.v1.x and self.v2.y == self.v1.y,
)
self.assertEqual(
self.v2 != self.v1.elementwise(),
self.v2.x != self.v1.x and self.v2.y != self.v1.y,
)
# 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.assertEqual(
self.v2.elementwise() / self.v1.elementwise(),
(self.v2.x / self.v1.x, self.v2.y / self.v1.y),
)
self.assertEqual(
self.v2.elementwise() // self.v1.elementwise(),
(self.v2.x // self.v1.x, self.v2.y // self.v1.y),
)
self.assertEqual(
self.v2.elementwise() ** self.v1.elementwise(),
(self.v2.x ** self.v1.x, self.v2.y ** self.v1.y),
)
self.assertEqual(
self.v2.elementwise() % self.v1.elementwise(),
(self.v2.x % self.v1.x, self.v2.y % self.v1.y),
)
self.assertEqual(
self.v2.elementwise() < self.v1.elementwise(),
self.v2.x < self.v1.x and self.v2.y < self.v1.y,
)
self.assertEqual(
self.v2.elementwise() > self.v1.elementwise(),
self.v2.x > self.v1.x and self.v2.y > self.v1.y,
)
self.assertEqual(
self.v2.elementwise() <= self.v1.elementwise(),
self.v2.x <= self.v1.x and self.v2.y <= self.v1.y,
)
self.assertEqual(
self.v2.elementwise() >= self.v1.elementwise(),
self.v2.x >= self.v1.x and self.v2.y >= self.v1.y,
)
self.assertEqual(
self.v2.elementwise() == self.v1.elementwise(),
self.v2.x == self.v1.x and self.v2.y == self.v1.y,
)
self.assertEqual(
self.v2.elementwise() != self.v1.elementwise(),
self.v2.x != self.v1.x and self.v2.y != self.v1.y,
)
# other behaviour
self.assertEqual(abs(self.v1.elementwise()), (abs(self.v1.x), abs(self.v1.y)))
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(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)
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, 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, v1.x != s1 and v1.y != s1)
# 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 != 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 != v1.x and s1 != 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.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))
v.from_polar((0.5, 90))
self.assertEqual(v, 0.5 * self.e2)
v.from_polar((1, 0))
self.assertEqual(v, self.e1)
def test_subclass_operation(self):
class Vector(pygame.math.Vector2):
pass
vec = Vector()
vec_a = Vector(2, 0)
vec_b = Vector(0, 1)
vec_a + vec_b
vec_a *= 2
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)