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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 unittest

import math

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()