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* Fix imports as they're namespace packages * Fix import for scripts/validate_filenames.py * Fix path in doctest
157 lines
4.5 KiB
Python
157 lines
4.5 KiB
Python
"""
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Created on Mon Feb 26 15:40:07 2018
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@author: Christian Bender
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@license: MIT-license
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This file contains the test-suite for the linear algebra library.
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"""
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import unittest
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from .lib import Matrix, Vector, axpy, squareZeroMatrix, unitBasisVector, zeroVector
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class Test(unittest.TestCase):
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def test_component(self):
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"""
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test for method component
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"""
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x = Vector([1, 2, 3])
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self.assertEqual(x.component(0), 1)
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self.assertEqual(x.component(2), 3)
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_ = Vector()
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def test_str(self):
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"""
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test for toString() method
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"""
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x = Vector([0, 0, 0, 0, 0, 1])
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self.assertEqual(str(x), "(0,0,0,0,0,1)")
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def test_size(self):
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"""
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test for size()-method
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"""
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x = Vector([1, 2, 3, 4])
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self.assertEqual(len(x), 4)
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def test_euclidLength(self):
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"""
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test for the eulidean length
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"""
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x = Vector([1, 2])
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self.assertAlmostEqual(x.euclidLength(), 2.236, 3)
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def test_add(self):
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"""
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test for + operator
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"""
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x = Vector([1, 2, 3])
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y = Vector([1, 1, 1])
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self.assertEqual((x + y).component(0), 2)
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self.assertEqual((x + y).component(1), 3)
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self.assertEqual((x + y).component(2), 4)
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def test_sub(self):
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"""
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test for - operator
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"""
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x = Vector([1, 2, 3])
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y = Vector([1, 1, 1])
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self.assertEqual((x - y).component(0), 0)
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self.assertEqual((x - y).component(1), 1)
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self.assertEqual((x - y).component(2), 2)
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def test_mul(self):
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"""
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test for * operator
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"""
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x = Vector([1, 2, 3])
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a = Vector([2, -1, 4]) # for test of dot-product
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b = Vector([1, -2, -1])
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self.assertEqual(str(x * 3.0), "(3.0,6.0,9.0)")
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self.assertEqual((a * b), 0)
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def test_zeroVector(self):
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"""
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test for the global function zeroVector(...)
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"""
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self.assertTrue(str(zeroVector(10)).count("0") == 10)
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def test_unitBasisVector(self):
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"""
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test for the global function unitBasisVector(...)
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"""
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self.assertEqual(str(unitBasisVector(3, 1)), "(0,1,0)")
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def test_axpy(self):
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"""
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test for the global function axpy(...) (operation)
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"""
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x = Vector([1, 2, 3])
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y = Vector([1, 0, 1])
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self.assertEqual(str(axpy(2, x, y)), "(3,4,7)")
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def test_copy(self):
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"""
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test for the copy()-method
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"""
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x = Vector([1, 0, 0, 0, 0, 0])
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y = x.copy()
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self.assertEqual(str(x), str(y))
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def test_changeComponent(self):
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"""
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test for the changeComponent(...)-method
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"""
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x = Vector([1, 0, 0])
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x.changeComponent(0, 0)
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x.changeComponent(1, 1)
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self.assertEqual(str(x), "(0,1,0)")
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def test_str_matrix(self):
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A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
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self.assertEqual("|1,2,3|\n|2,4,5|\n|6,7,8|\n", str(A))
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def test_determinate(self):
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"""
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test for determinate()
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"""
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A = Matrix([[1, 1, 4, 5], [3, 3, 3, 2], [5, 1, 9, 0], [9, 7, 7, 9]], 4, 4)
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self.assertEqual(-376, A.determinate())
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def test__mul__matrix(self):
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A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3, 3)
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x = Vector([1, 2, 3])
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self.assertEqual("(14,32,50)", str(A * x))
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self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n", str(A * 2))
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def test_changeComponent_matrix(self):
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A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
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A.changeComponent(0, 2, 5)
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self.assertEqual("|1,2,5|\n|2,4,5|\n|6,7,8|\n", str(A))
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def test_component_matrix(self):
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A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
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self.assertEqual(7, A.component(2, 1), 0.01)
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def test__add__matrix(self):
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A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
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B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)
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self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n", str(A + B))
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def test__sub__matrix(self):
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A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)
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B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)
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self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n", str(A - B))
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def test_squareZeroMatrix(self):
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self.assertEqual(
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"|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|\n|0,0,0,0,0|" + "\n|0,0,0,0,0|\n",
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str(squareZeroMatrix(5)),
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)
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if __name__ == "__main__":
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unittest.main()
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