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# -*- coding: utf-8 -*-

"""

Created on Mon Feb 26 15:40:07 2018

@author: Christian Bender

@license: MIT-license

This file contains the test-suite for the linear algebra library.

"""

import math

import unittest

from lib import *

class Test(unittest.TestCase):

def test_component(self):

"""

test for method component

"""

x = Vector([1, 2, 3])

self.assertEqual(x.component(0), 1)

self.assertEqual(x.component(2), 3)

try:

y = Vector()

self.assertTrue(False)

except:

self.assertTrue(True)

def test_str(self):

"""

test for toString() method

"""

x = Vector([0, 0, 0, 0, 0, 1])

self.assertEqual(x.__str__(), "(0,0,0,0,0,1)")

def test_size(self):

"""

test for size()-method

"""

x = Vector([1, 2, 3, 4])

self.assertEqual(x.size(), 4)

def test_euclidLength(self):

"""

test for the eulidean length

"""

x = Vector([1, 2])

self.assertAlmostEqual(x.eulidLength(), 2.236, 3)

def test_add(self):

"""

test for + operator

"""

x = Vector([1, 2, 3])

y = Vector([1, 1, 1])

self.assertEqual((x + y).component(0), 2)

self.assertEqual((x + y).component(1), 3)

self.assertEqual((x + y).component(2), 4)

def test_sub(self):

"""

test for - operator

"""

x = Vector([1, 2, 3])

y = Vector([1, 1, 1])

self.assertEqual((x - y).component(0), 0)

self.assertEqual((x - y).component(1), 1)

self.assertEqual((x - y).component(2), 2)

def test_mul(self):

"""

test for * operator

"""

x = Vector([1, 2, 3])

a = Vector([2, -1, 4]) # for test of dot-product

b = Vector([1, -2, -1])

self.assertEqual((x * 3.0).__str__(), "(3.0,6.0,9.0)")

self.assertEqual((a * b), 0)

def test_zeroVector(self):

"""

test for the global function zeroVector(...)

"""

self.assertTrue(zeroVector(10).__str__().count("0") == 10)

def test_unitBasisVector(self):

"""

test for the global function unitBasisVector(...)

"""

self.assertEqual(unitBasisVector(3, 1).__str__(), "(0,1,0)")

def test_axpy(self):

"""

test for the global function axpy(...) (operation)

"""

x = Vector([1, 2, 3])

y = Vector([1, 0, 1])

self.assertEqual(axpy(2, x, y).__str__(), "(3,4,7)")

def test_copy(self):

"""

test for the copy()-method

"""

x = Vector([1, 0, 0, 0, 0, 0])

y = x.copy()

self.assertEqual(x.__str__(), y.__str__())

def test_changeComponent(self):

"""

test for the changeComponent(...)-method

"""

x = Vector([1, 0, 0])

x.changeComponent(0, 0)

x.changeComponent(1, 1)

self.assertEqual(x.__str__(), "(0,1,0)")

def test_str_matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

self.assertEqual("|1,2,3|\n|2,4,5|\n|6,7,8|\n", A.__str__())

def test__mul__matrix(self):

A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 3, 3)

x = Vector([1, 2, 3])

self.assertEqual("(14,32,50)", (A * x).__str__())

self.assertEqual("|2,4,6|\n|8,10,12|\n|14,16,18|\n", (A * 2).__str__())

def test_changeComponent_matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

A.changeComponent(0, 2, 5)

self.assertEqual("|1,2,5|\n|2,4,5|\n|6,7,8|\n", A.__str__())

def test_component_matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

self.assertEqual(7, A.component(2, 1), 0.01)

def test__add__matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)

self.assertEqual("|2,4,10|\n|4,8,10|\n|12,14,18|\n", (A + B).__str__())

def test__sub__matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)

self.assertEqual("|0,0,-4|\n|0,0,0|\n|0,0,-2|\n", (A - B).__str__())

def test_squareZeroMatrix(self):

self.assertEqual(

"|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",

squareZeroMatrix(5).__str__(),

)

def test_norm_vector(self):

x = Vector([1, 2, 3])

self.assertAlmostEqual(x.norm().component(0), (1 / math.sqrt(14)), 0.001)

self.assertAlmostEqual(x.norm().component(1), math.sqrt((2.0 / 7)), 0.001)

def test__eq__vector(self):

x = Vector([1, 2, 3])

y = Vector([1, 0, 1])

self.assertTrue(x == x)

self.assertFalse(x == y)

def test__eq__matrix(self):

A = Matrix([[1, 2, 3], [2, 4, 5], [6, 7, 8]], 3, 3)

B = Matrix([[1, 2, 7], [2, 4, 5], [6, 7, 10]], 3, 3)

self.assertTrue(A == A)

self.assertFalse(A == B)

if __name__ == "__main__":

unittest.main()