--lua/luaClasses/testAlgorithms.lua --Mathew Ellison -- Created: 03-28-19 --Modified: 06-30-21 --This script is used to test the Algorithms script --[[ Copyright (C) 2021 Matthew Ellison This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . ]] require "Algorithms"; require "Stopwatch"; local bigint = require "bigint"; local function testGetPrimes() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}; local topNum = 100; local answer = getPrimes(topNum); --Get the answer from the function --Print an error message if the function returned the wrong answer if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getPrimes failed the first test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getPrimes passed all tests\n"); end end local function testGetNumPrimes() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}; local numPrimes = 100; local answer = getNumPrimes(numPrimes); --Get the answer from the function --Print an error message if the function returned the wrong answer if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getNumPrimes failed the first test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getNumPrimes passed all tests\n"); end end local function testIsPrime() local failed = false; --Holds whether a test was failed --Test 1 local num = 2; local correctAnswer = true; local answer = isPrime(num); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("isPrime failed the first test\n"); failed = true; end --Test 2 num = 97; correctAnswer = true; answer = isPrime(num); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("isPrime failed the second test\n"); failed = true; end --Test 3 num = 1000; correctAnswer = false; answer = isPrime(num); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("isPrime failed the third test\n"); failed = true; end --Test 4 num = 1; correctAnswer = false; answer = isPrime(num); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("isPrime failed the fourth test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("isPrime passed all tests\n"); end end local function testGetFactors() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = {2, 2, 5, 5}; local number = 100; local answer = getFactors(number); --Print an error message if the function returned the wrong answer if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getFactors failed the first test\n"); failed = true; end --Test 2 correctAnswer = {2, 7, 7}; number = 98; answer = getFactors(number); --Print an error message if the function returned the wrong answer if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getFactors failed the second test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getFactors passed all tests\n"); end end local function testGetDivisors() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = {1, 2, 4, 5, 10, 20, 25, 50, 100}; local topNum = 100; local answer = getDivisors(topNum); --Print an error message if the function returned the wrong answer if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getDivisors failed the first test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getDivisors passed all tests\n"); end end local function testGetFib() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = 144; local number = 12; local answer = getFib(number); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getFib failed the first test\n"); failed = true; end --Test 2 correctAnswer = 6765 number = 20 answer = getFib(number); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getFib failed the second test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getFib passed all tests\n"); end end local function testGetLargeFib() local failed = false; --Holds whther a test was failed --Test 1 local correctAnswer = bigint.new(144); local number = 12; local answer = getLargeFib(number); --Print an error message if the function returned the wrong answer if(bigint.compare(correctAnswer, answer, "!=")) then io.write("getLargeFib failed the first test\n"); failed = true; end --Test 2 correctAnswer = bigint.new(6765); number = 20; answer = getLargeFib(number); --Print an error message if the function returned the wrong answer if(bigint.compare(correctAnswer, answer, "!=")) then io.write("getLargeFib failed the second test\n"); failed = true; end --Test 3 correctAnswer = bigint.new("1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816"); number = 4782; answer = getLargeFib(number); --Print an error message if the function returned the wrong answer if(bigint.compare(correctAnswer, answer, "!=")) then io.write("getLargeFib failed the third test\n"); failed = true; end --Print a message if all of the test passed if(not failed) then io.write("getLargeFib passed all tests\n"); end end local function testGetSum() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = 0; local numbers = {}; local answer = getSum(numbers); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getSum failed the first test\n"); failed = true; end --Test 2 correctAnswer = 118; numbers = {2, 2, 3, 3, 4, 4, 100}; answer = getSum(numbers); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getSum failed the second test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getSum passed all tests\n"); end end local function testGetProd() local failed = false; --Holds whether a test was failed --Test 1 local correctAnswer = 0; local numbers = {}; local answer = getProd(numbers); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getProd failed the first test\n"); failed = true; end --Test 2 correctAnswer = 57600; numbers = {2, 2, 3, 3, 4, 4, 100}; answer = getProd(numbers); --Print an error message if the function returned the wrong answer if(correctAnswer ~= answer) then io.write("getProd failed the second test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getProd passed all tests\n"); end end local function testGetPermutations() local failed = false; --Holds whether a test was failed --Test 1 local permString = "012"; local correctAnswer = {"012", "021", "102", "120", "201", "210"}; local answer = getPermutations(permString); if(table.unpack(correctAnswer) ~= table.unpack(answer)) then io.write("getPermutatiosn failed the first test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("getPermutations passed all tests\n"); end end local function testIsFound() local failed = false; --Signals whether a test was failed --Test 1 local numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; local correctAnswer = true; local answer = isFound(numbers, 0); if(answer ~= correctAnswer) then io.write("isFound failed the first test\n"); failed = true; end --Test 2 numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; correctAnswer = true; answer = isFound(numbers, 9); if(answer ~= correctAnswer) then io.write("isFound failed the second test\n"); failed = true; end --Test 3 numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; correctAnswer = true; answer = isFound(numbers, 5); if(answer ~= correctAnswer) then io.write("isFound failed the third test\n"); failed = true; end --Test 4 numbers = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}; correctAnswer = false; answer = isFound(numbers, 10); if(answer ~= correctAnswer) then io.write("isFound failed the fourth test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("isFound passed all tests\n"); end end local function testGCD() local failed = false; --Signals whether a test was failed --Test 1 local num1 = 2; local num2 = 3; local correctAnswer = 1; local answer = gcd(num1, num2); if(answer ~= correctAnswer) then io.write("gcd failed the first test\n"); failed = true; end --Test 2 num1 = 1000; num2 = 575; correctAnswer = 25; answer = gcd(num1, num2); if(answer ~= correctAnswer) then io.write("gcd failed the second test\n"); failed = true; end --Test 3 num1 = 1000; num2 = 1000; correctAnswer = 1000; answer = gcd(num1, num2); if(answer ~= correctAnswer) then io.write("gcd failed the third test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("gcd passed all tests\n"); end end local function testFactorial() local failed = false; --Signals whether a test was failed --Test 1 local num = 1; local correctAnswer = 1; local answer = factorial(num); if(answer ~= correctAnswer) then io.write("factorial failed the first test\n"); failed = true; end --Test 2 local num = 10; local correctAnswer = 3628800; local answer = factorial(num); if(answer ~= correctAnswer) then io.write("factorial failed the second test\n"); failed = true; end --Test 3 local num = -5; local correctAnswer = 1; local answer = factorial(num); if(answer ~= correctAnswer) then io.write("factorial failed the third test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("factorial passed all tests\n"); end end local function testIsPalindrome() local failed = false; --Signals whether a test was failed --Test 1 local str = "101"; local correctAnswer = true; local answer = isPalindrome(str); if(answer ~= correctAnswer) then io.write("isPalindrome failed the first test\n"); failed = true; end --Test 2 str = "100"; correctAnswer = false; answer = isPalindrome(str); if(answer ~= correctAnswer) then io.write("isPalindrome failed the second test\n"); failed = true; end --Test 3 str = ""; correctAnswer = true; answer = isPalindrome(str); if(answer ~= correctAnswer) then io.write("isPalindrome failed the third test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("isPalindrome passed all tests\n"); end end local function testToBin() local failed = false; --Signals whether a test was failed --Test 1 local num = 7; local correctAnswer = "111"; local answer = toBin(num); if(answer ~= correctAnswer) then io.write("toBin failed the first test\n"); failed = true; end --Test 2 num = 0; correctAnswer = "0"; answer = toBin(num); if(answer ~= correctAnswer) then io.write("toBin failed the second test\n"); failed = true; end --Test 3 num = 1000000; correctAnswer = "11110100001001000000"; answer = toBin(num); if(answer ~= correctAnswer) then io.write("toBin failed the third test\n"); failed = true; end --Print a message if all of the tests passed if(not failed) then io.write("toBin passed all tests\n"); end end local function testPrintTable() local failed = false; --Signals whether a test was failed --Test 1 local nums = {}; local correctAnswer = "[]"; local answer = printTable(nums); if(answer ~= correctAnswer) then io.write("printTable int failed the first test\n"); end --Test 2 nums = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; correctAnswer = "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]"; answer = printTable(nums); if(answer ~= correctAnswer) then io.write("printTable int failed the second test\n"); end --Test 3 nums = {-3, -2, -1, 0, 1, 2, 3}; correctAnswer = "[-3, -2, -1, 0, 1, 2, 3]"; answer = printTable(nums); if(answer ~= correctAnswer) then io.write("printTable int failed the third test\n"); end --Test 4 local strings = {"A", "B", "C"}; correctAnswer = "[A, B, C]"; answer = printTable(strings); if(answer ~= correctAnswer) then io.write("printTable string failed the first test\n"); end --Test 5 strings = {"abc", "def", "ghi"}; correctAnswer = "[abc, def, ghi]"; answer = printTable(strings); if(answer ~= correctAnswer) then io.write("printTable string failed the second test\n"); end --Print a message if all of the tests passed if(not failed) then io.write("printTable passed all tests\n"); end end --Create the timer to time each test local timer = Stopwatch:create(); --Test getPrimes timer:start(); testGetPrimes(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getNumPrimes timer:start(); testGetNumPrimes(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test isPrime timer:start(); testIsPrime(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getFactors timer:start(); testGetFactors(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getDivisors timer:start(); testGetDivisors(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getFib timer:start(); testGetFib(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getLargeFib timer:start(); testGetLargeFib(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getSum timer:start(); testGetSum(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getProd timer:start(); testGetProd(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test getPermutations timer:start(); testGetPermutations(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test isFound timer:start(); testIsFound(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test gcd timer:start(); testGCD(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test factorial timer:start(); testFactorial(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test isPalindrome timer:start(); testIsPalindrome(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test toBin timer:start(); testToBin(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n"); --Test printTable timer:start(); testPrintTable(); timer:stop(); io.write("It took " .. timer:getString() .. " to run this test\n");