linpy/tests/test_geometry.py

   1 # Copyright 2014 MINES ParisTech
   2 #
   3 # This file is part of LinPy.
   4 #
   5 # LinPy is free software: you can redistribute it and/or modify
   6 # it under the terms of the GNU General Public License as published by
   7 # the Free Software Foundation, either version 3 of the License, or
   8 # (at your option) any later version.
   9 #
  10 # LinPy is distributed in the hope that it will be useful,
  11 # but WITHOUT ANY WARRANTY; without even the implied warranty of
  12 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  13 # GNU General Public License for more details.
  14 #
  15 # You should have received a copy of the GNU General Public License
  16 # along with LinPy.  If not, see <http://www.gnu.org/licenses/>.
  17
  18 import math
  19 import unittest
  20
  21 from ..geometry import *
  22 from ..linexprs import Symbol
  23 from ..polyhedra import Eq
  24
  25
  26 class TestPoint(unittest.TestCase):
  27
  28     def setUp(self):
  29         self.x = Symbol('x')
  30         self.y = Symbol('y')
  31         self.z = Symbol('z')
  32         self.pt1 = Point({self.x: 10, self.y: 5, self.z: 1})
  33         self.pt2 = Point({self.x: 15, self.y: 40, self.z: 60})
  34         self.vec1 = Vector({self.x: 20, self.y: 30, self.z: 40})
  35
  36     def test_add(self):
  37         self.assertEqual(self.pt1 + self.vec1, Point({self.x: 30, self.y: 35, self.z: 41}))
  38         with self.assertRaises(TypeError):
  39             self.pt1 + self.pt2
  40
  41     def test_eq(self):
  42         self.assertEqual(self.pt1, self.pt1)
  43         self.assertNotEqual(self.pt1, self.pt2)
  44         self.assertNotEqual(self.pt1, self.vec1)
  45
  46     def test_sub(self):
  47         self.assertEqual(self.pt1 - self.pt2, Vector({self.x: -5, self.y: -35, self.z: -59}))
  48         self.assertEqual(self.pt1 - self.vec1, Point({self.x: -10, self.y: -25, self.z: -39}))
  49
  50     def test_aspolyhedron(self):
  51         self.assertEqual(self.pt1.aspolyhedron(), Eq(self.x, 10) & Eq(self.y, 5) & Eq(self.z, 1))
  52
  53
  54 class TestVector(unittest.TestCase):
  55
  56     def setUp(self):
  57         self.x = Symbol('x')
  58         self.y = Symbol('y')
  59         self.z = Symbol('z')
  60         self.pt1 = Point({self.x: 10, self.y: 5, self.z: 1})
  61         self.pt2 = Point({self.x: 15, self.y: 40, self.z: 60})
  62         self.vec1 = Vector({self.x: 20, self.y: 30, self.z: 40})
  63         self.vec2 = Vector({self.x: 45, self.y: 70, self.z: 80})
  64
  65     def test_add(self):
  66         self.assertEqual(self.vec1 + self.pt1, Point({self.x: 30, self.y: 35, self.z: 41}))
  67         self.assertEqual(self.vec1 + self.vec2, Vector({self.x: 65, self.y: 100, self.z: 120}))
  68
  69     def test_angle(self):
  70         self.assertEqual(math.degrees(self.vec1.angle(self.vec1)), 0)
  71         self.assertAlmostEqual(math.degrees(self.vec1.angle(self.vec2)), 4.15129, places=5)
  72         self.assertAlmostEqual(math.degrees(self.vec2.angle(self.vec1)), 4.15129, places=5)
  73
  74     def test_cross(self):
  75         self.assertEqual(self.vec1.cross(self.vec2), Vector({self.x: -400, self.y: 200, self.z: 50}))
  76
  77     def test_div(self):
  78         self.assertEqual(self.vec1 / 10, Vector({self.x: 2, self.y: 3, self.z: 4}))
  79
  80     def test_dot(self):
  81         self.assertEqual(self.vec1.dot(self.vec2), 6200)
  82
  83     def test_eq(self):
  84         self.assertEqual(self.vec1, self.vec1)
  85         self.assertNotEqual(self.vec1, self.vec2)
  86
  87     def test_mul(self):
  88         self.assertEqual(75 * self.vec1, Vector({self.x: 1500, self.y: 2250, self.z: 3000}))
  89         self.assertEqual(self.vec1 * 75, Vector({self.x: 1500, self.y: 2250, self.z: 3000}))
  90
  91     def test_neg(self):
  92         self.assertEqual(-self.vec1, Vector({self.x: -20, self.y: -30, self.z: -40}))
  93
  94     def test_norm(self):
  95         self.assertAlmostEqual(self.vec1.norm(), 53.85165, places=5)
  96
  97     def test_norm2(self):
  98         self.assertEqual(self.vec1.norm2(), 2900)
  99
 100     def test_asunit(self):
 101         unit = self.vec1.asunit()
 102         self.assertAlmostEqual(unit[self.x], 0.37139, 5)
 103         self.assertAlmostEqual(unit[self.y], 0.55709, 5)
 104         self.assertAlmostEqual(unit[self.z], 0.74278, 5)
 105
 106     def test_sub(self):
 107         self.assertEqual(self.vec1 - self.pt1, Point({self.x: 10, self.y: 25, self.z: 39}))
 108         self.assertEqual(self.vec1 - self.vec2, Vector({self.x: -25, self.y: -40, self.z: -40}))