X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/ae3c7cc888444a66597e093ea0b1fd83f521f0a6..6a8f0d937524e9210b3283f8331ccaf6ce3caaa3:/pypol/tests/test_geometry.py diff --git a/pypol/tests/test_geometry.py b/pypol/tests/test_geometry.py new file mode 100644 index 0000000..e602616 --- /dev/null +++ b/pypol/tests/test_geometry.py @@ -0,0 +1,91 @@ +import math +import unittest + +from ..geometry import * +from ..linexprs import Symbol +from ..polyhedra import Eq + + +class TestPoint(unittest.TestCase): + + def setUp(self): + self.x = Symbol('x') + self.y = Symbol('y') + self.z = Symbol('z') + self.pt1 = Point({self.x: 10, self.y: 5, self.z: 1}) + self.pt2 = Point({self.x: 15, self.y: 40, self.z: 60}) + self.vec1 = Vector({self.x: 20, self.y: 30, self.z: 40}) + + def test_add(self): + self.assertEqual(self.pt1 + self.vec1, Point({self.x: 30, self.y: 35, self.z: 41})) + with self.assertRaises(TypeError): + self.pt1 + self.pt2 + + def test_eq(self): + self.assertEqual(self.pt1, self.pt1) + self.assertNotEqual(self.pt1, self.pt2) + self.assertNotEqual(self.pt1, self.vec1) + + def test_sub(self): + self.assertEqual(self.pt1 - self.pt2, Vector({self.x: -5, self.y: -35, self.z: -59})) + self.assertEqual(self.pt1 - self.vec1, Point({self.x: -10, self.y: -25, self.z: -39})) + + def test_aspolyhedron(self): + self.assertEqual(self.pt1.aspolyhedron(), Eq(self.x, 10) & Eq(self.y, 5) & Eq(self.z, 1)) + + +class TestVector(unittest.TestCase): + + def setUp(self): + self.x = Symbol('x') + self.y = Symbol('y') + self.z = Symbol('z') + self.pt1 = Point({self.x: 10, self.y: 5, self.z: 1}) + self.pt2 = Point({self.x: 15, self.y: 40, self.z: 60}) + self.vec1 = Vector({self.x: 20, self.y: 30, self.z: 40}) + self.vec2 = Vector({self.x: 45, self.y: 70, self.z: 80}) + + def test_add(self): + self.assertEqual(self.vec1 + self.pt1, Point({self.x: 30, self.y: 35, self.z: 41})) + self.assertEqual(self.vec1 + self.vec2, Vector({self.x: 65, self.y: 100, self.z: 120})) + + def test_angle(self): + self.assertEqual(math.degrees(self.vec1.angle(self.vec1)), 0) + self.assertAlmostEqual(math.degrees(self.vec1.angle(self.vec2)), 4.15129, places=5) + self.assertAlmostEqual(math.degrees(self.vec2.angle(self.vec1)), 4.15129, places=5) + + def test_cross(self): + self.assertEqual(self.vec1.cross(self.vec2), Vector({self.x: -400, self.y: 200, self.z: 50})) + + def test_div(self): + self.assertEqual(self.vec1 / 10, Vector({self.x: 2, self.y: 3, self.z: 4})) + + def test_dot(self): + self.assertEqual(self.vec1.dot(self.vec2), 6200) + + def test_eq(self): + self.assertEqual(self.vec1, self.vec1) + self.assertNotEqual(self.vec1, self.vec2) + + def test_mul(self): + self.assertEqual(75 * self.vec1, Vector({self.x: 1500, self.y: 2250, self.z: 3000})) + self.assertEqual(self.vec1 * 75, Vector({self.x: 1500, self.y: 2250, self.z: 3000})) + + def test_neg(self): + self.assertEqual(-self.vec1, Vector({self.x: -20, self.y: -30, self.z: -40})) + + def test_norm(self): + self.assertAlmostEqual(self.vec1.norm(), 53.85165, places=5) + + def test_norm2(self): + self.assertEqual(self.vec1.norm2(), 2900) + + def test_asunit(self): + unit = self.vec1.asunit() + self.assertAlmostEqual(unit[self.x], 0.37139, 5) + self.assertAlmostEqual(unit[self.y], 0.55709, 5) + self.assertAlmostEqual(unit[self.z], 0.74278, 5) + + def test_sub(self): + self.assertEqual(self.vec1 - self.pt1, Point({self.x: 10, self.y: 25, self.z: 39})) + self.assertEqual(self.vec1 - self.vec2, Vector({self.x: -25, self.y: -40, self.z: -40}))