//myClasses/Algorithms.cpp //Matthew Ellison // Created: 11-14-18 //Modified: 06-29-21 //This is the file that tests all my algorithms, both for speed and accuracy /* 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 . */ #include #include #include #include #include #include "Algorithms.hpp" #include "Stopwatch.hpp" //Defines a type for functions so there can be an array of functions typedef bool (*boolFn)(); //A function to test every set of funtions in Algorithms.hpp //Some of the functions are overloaded, so I test all overloaded functions in each function bool testGetPrimes(); bool testGetNumPrimes(); bool testIsPrime(); bool testGetFactors(); bool tetsGetDivisors(); bool testGetSum(); bool testGetProduct(); bool testIsFound(); bool testGetPermutations(); bool testGetFib(); bool testGetAllFib(); bool testBubbleSort(); bool testQuickSort(); bool testSearch(); bool testFindMin(); bool testFindMax(); bool testFindNumOccurrence(); bool testFactorial(); bool testIsPalindrome(); bool testToBin(); bool testPrintVector(); int main(){ mee::Stopwatch timer; bool passedTest = false; std::vector functions {testGetPrimes, testGetNumPrimes, testIsPrime, testGetFactors, tetsGetDivisors, testGetSum, testGetProduct, testIsFound, testGetPermutations, testGetFib, testGetAllFib, testBubbleSort, testQuickSort, testSearch, testFindMin, testFindMax, testFindNumOccurrence, testFactorial, testIsPalindrome, testToBin, testPrintVector}; std::vector names {"getPrimes", "getNumPrimes", "isPrime", "getFactors", "getDivisors", "getSum", "getProduct", "isFound", "getPermutations", "getFib", "getAllFib", "bubbleSort", "quickSort", "search", "findMin", "findMax", "findNumOccurrence", "factorial", "isPalindrome", "toBin", "testPrintVector"}; //Start doing tests and print out the results of each for(int cnt = 0;cnt < functions.size();++cnt){ timer.start(); passedTest = functions[cnt](); timer.stop(); if(passedTest){ std::cout << "Function " << names.at(cnt) << "() passed the test\n"; } else{ std::cout << "Function " << names.at(cnt) << "() failed the test\n"; } std::cout << "The test took " << timer.getStr() << "\n\n" << std::endl; } return 0; } bool testGetPrimes(){ std::vector 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}; uint64_t topNum = 100; std::vector answer = mee::getPrimes(topNum); if(correctAnswer != answer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetNumPrimes(){ std::vector 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}; uint64_t numPrimes = 25; std::vector answer = mee::getNumPrimes(numPrimes); if(correctAnswer != answer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testIsPrime(){ //Test 1 int64_t num = 2; bool correctAnswer = true; bool answer = mee::isPrime(num); if(correctAnswer != answer){ return false; } //Test 2 num = 97; correctAnswer = true; answer = mee::isPrime(num); if(correctAnswer != answer){ return false; } //Test 3 num = 1000; correctAnswer = false; answer = mee::isPrime(num); if(correctAnswer != answer){ return false; } //Test 4 num = 1; correctAnswer = false; answer = mee::isPrime(num); if(correctAnswer != answer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetFactors(){ std::vector correctAnswer {2, 2, 5, 5}; uint64_t number = 100; std::vector answer = mee::getFactors(number); if(correctAnswer != answer){ return false; } correctAnswer = {2, 7, 7}; number = 98; answer = mee::getFactors(number); if(correctAnswer != answer){ return false; } //If a false was not triggered it must have passed all tests return true; } bool tetsGetDivisors(){ std::vector correctAnswer {1, 2, 4, 5, 10, 20, 25, 50, 100}; uint64_t topNum = 100; std::vector answer = mee::getDivisors(topNum); if(correctAnswer != answer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetSum(){ uint64_t correctAnswer = 1060; uint64_t topNum = 100; uint64_t answer = mee::getSum(mee::getPrimes(topNum)); if(correctAnswer != answer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetProduct(){ uint64_t correctAnswer = 0; std::vector numbers = {}; uint64_t answer = mee::getProduct(numbers); if(correctAnswer != answer){ return false; } correctAnswer = 57600; numbers = {2, 2, 3, 3, 4, 4, 100}; answer = mee::getProduct(numbers); if(correctAnswer != answer){ return false; } //If a false was not triggered it must have passed all tests return true; } bool testIsFound(){ bool correctAnswer = true; std::vector testVector = mee::getPrimes((uint64_t)100); uint64_t searchFor = 79; bool answer = mee::isFound(testVector, searchFor); if(answer != correctAnswer){ std::cout << "isFound() is failed at test 1" << std::endl; return false; } searchFor = 97; answer = mee::isFound(testVector, searchFor); if(answer != correctAnswer){ std::cout << "isFound() is failed at test 2" << std::endl; return false; } searchFor = 88; correctAnswer = false; answer = mee::isFound(testVector, searchFor); if(answer != correctAnswer){ std::cout << "isFound() is failed at test 3" << std::endl; return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetPermutations(){ std::string permString = "012"; std::vector correctAnswer {"012", "021", "102", "120", "201", "210"}; std::vector answer = mee::getPermutations(permString); if(answer != correctAnswer){ return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetFib(){ //Test the imbeded type getFib function uint64_t correctAnswer = 144; uint64_t number = 12; uint64_t answer = mee::getFib(number); if(correctAnswer != answer){ std::cout << "getFit() failed at test 1" << std::endl; return false; } number = 20; correctAnswer = 6765; answer = mee::getFib(number); if(correctAnswer != answer){ std::cout << "getFit() failed at test 2" << std::endl; return false; } //Test the gmp integer function mpz_class mpzNumber = 12; mpz_class longCorrectAnswer = 144; mpz_class longAnswer = mee::getFib(mpzNumber); if(longCorrectAnswer != longAnswer){ std::cout << "getFib() for mpz failed at test 3" << std::endl; return false; } mpzNumber = 4782; longCorrectAnswer = "1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816"; longAnswer = mee::getFib(mpzNumber); if(longCorrectAnswer != longAnswer){ std::cout << "getFib() for mpzfailed at test 4" << std::endl; return false; } //If the false was not triggered it must have passed all tests return true; } bool testGetAllFib(){ std::vector correctAnswer {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89}; uint64_t highestNumber = 100; std::vector answer = mee::getAllFib(highestNumber); if(correctAnswer != answer){ return false; } correctAnswer = {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987}; highestNumber = 1000; answer = mee::getAllFib(highestNumber); if(correctAnswer != answer){ return false; } //If a false was not triggered it must have passed all tests return true; } bool testBubbleSort(){ unsigned int NUM_TO_GENERATE = 10000; std::default_random_engine generator(std::random_device{}()); std::uniform_int_distribution dist(1, INT_MAX); std::vector nums; //Run through the appropriate number of numbers to generate and add them to the vector for(int cnt = 0;cnt < NUM_TO_GENERATE;++cnt){ nums.push_back(dist(generator)); } //Sort the numbers with my algorithm mee::bubbleSort(nums); //Make sure each number is not < the one in behind it for(int cnt = 1;cnt < nums.size();++cnt){ if(nums.at(cnt) < nums.at(cnt - 1)){ return false; std::cout << "nums.size() " << nums.size() << "\ncnt " << cnt << std::endl; } } //If the false was not triggered then everything must have been sorted correctly return true; } bool testQuickSort(){ unsigned int NUM_TO_GENERATE = 10000; std::default_random_engine generator(std::random_device{}()); std::uniform_int_distribution dist(1, INT_MAX); std::vector nums; //Run through the appropriate number of numbers to generate and add them to the vector for(int cnt = 0;cnt < NUM_TO_GENERATE;++cnt){ nums.push_back(dist(generator)); } //Sort the numbers with my algorithm mee::quickSort(nums); //Make sure each number is not < the one in behind it for(int cnt = 1;cnt < nums.size();++cnt){ if(nums.at(cnt) < nums.at(cnt - 1)){ return false; } } //If the false was not triggered then everything must have been sorted correctly return true; } bool testSearch(){ int64_t found = -1; //Create a vector of numbers std::vector nums {1, 20, 3, 40, 5, 60, 7, 80, 9}; //Search for one that is in the vector found = mee::search(nums, 1); if(found != 0){ //This number is in the vector, if it was not found in the vector there is a problem return false; } //Search for another that is in the vector found = mee::search(nums, 9); if(found != 8){ //This number is in the vector, if it was not found in the vector there is a problem return false; } //Search for another that is in the vector found = mee::search(nums, 60); if(found != 5){ //This number is in the vector, if it was not found in the vector there is a problem return false; } //Search for a number that is not in the vector found = mee::search(nums, 6); if(found != -1){ return false; } //If it didn't trigger a false then everything went through correctly return true; } bool testFindMin(){ std::vector arr {1, 2, 3, 4, 5, 6, 7, 8, 9}; int answer = 0; //Test first answer = mee::findMin(arr); if(answer != 1){ return false; } //Test last answer = 0; arr = {9, 8, 7, 6, 5, 4, 3, 2, 1}; answer = mee::findMin(arr); if(answer != 1){ return false; } //Test middle answer = 0; arr = {9, 5, 3, 6, 8, 1, 7, 2, 4}; answer = mee::findMin(arr); if(answer != 1){ return false; } //Test negative answer = 0; arr = {-1, -2, -3, -4, -5, -6, -7, -8, -9}; answer = mee::findMin(arr); if(answer != -9){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testFindMax(){ std::vector arr {1, 2, 3, 4, 5, 6, 7, 8, 9}; int answer = 0; //Test last answer = mee::findMax(arr); if(answer != 9){ return false; } //Test first answer = 0; arr = {9, 8, 7, 6, 5, 4, 3, 2, 1}; answer = mee::findMax(arr); if(answer != 9){ return false; } //Test middle answer = 0; arr = {9, 5, 3, 6, 8, 1, 7, 2, 4}; answer = mee::findMax(arr); if(answer != 9){ return false; } //Test negative answer = 0; arr = {-1, -2, -3, -4, -5, -6, -7, -8, -9}; answer = mee::findMax(arr); if(answer != -1){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testFindNumOccurrence(){ //Test 1 std::string testString = "abcdefgdd"; char testChar = 'a'; int correctAnswer = 1; int answer = mee::findNumOccurrence(testString, testChar); if(correctAnswer != answer){ return false; } //Test 2 testChar = 'd'; correctAnswer = 3; answer = mee::findNumOccurrence(testString, testChar); if(correctAnswer != answer){ return false; } //Test 3 testChar = 'h'; correctAnswer = 0; answer = mee::findNumOccurrence(testString, testChar); if(correctAnswer != answer){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testFactorial(){ //Test 1 int num = 1; int correctAnswer = 1; int answer = mee::factorial(num); if(correctAnswer != answer){ return false; } //Test 2 num = 10; correctAnswer = 3628800; answer = mee::factorial(num); if(correctAnswer != answer){ return false; } //Test 3 num = -5; correctAnswer = 1; answer = mee::factorial(num); if(correctAnswer != answer){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testIsPalindrome(){ //Test 1 std::string str = "101"; bool correctAnswer = true; bool answer = mee::isPalindrome(str); if(correctAnswer != answer){ return false; } //Test 2 str = "100"; correctAnswer = false; answer = mee::isPalindrome(str); if(correctAnswer != answer){ return false; } //Test 3 str = ""; correctAnswer = true; answer = mee::isPalindrome(str); if(correctAnswer != answer){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testToBin(){ //Test 1 int num = 7; std::string correctAnswer = "111"; std::string answer = mee::toBin(num); if(correctAnswer != answer){ return false; } //Test 2 num = 0; correctAnswer = "0"; answer = mee::toBin(num); if(correctAnswer != answer){ return false; } //Test 3 num = 1000000; correctAnswer = "11110100001001000000"; answer = mee::toBin(num); if(correctAnswer != answer){ return false; } //Test 4 uint64_t num2 = 8; correctAnswer = "1000"; answer = mee::toBin(num2); if(correctAnswer != answer){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } bool testPrintVector(){ //Test 1 std::vector nums; std::string correctAnswer = "[]"; std::string answer = mee::printVector(nums); if(correctAnswer != answer){ return false; } //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 = mee::printVector(nums); if(correctAnswer != answer){ return false; } //Test 3 nums = {-3, -2, -1, 0, 1, 2, 3}; correctAnswer = "[-3, -2, -1, 0, 1, 2, 3]"; answer = mee::printVector(nums); if(correctAnswer != answer){ return false; } //Test 4 std::vector strings = {"A", "B", "C"}; correctAnswer = "[A, B, C]"; answer = mee::printVector(strings); if(correctAnswer != answer){ return false; } //Test 5 strings = {"abc", "def", "ghi"}; correctAnswer = "[abc, def, ghi]"; answer = mee::printVector(strings); if(correctAnswer != answer){ return false; } //If it hasn't failed a test then return true for passing all the tests return true; } /* Results: Function getPrimes() passed the test The test took 9.400 microseconds Function getNumPrimes() passed the test The test took 6.400 microseconds Function isPrime() passed the test The test took 200.000 nanoseconds Function getFactors() passed the test The test took 5.400 microseconds Function getDivisors() passed the test The test took 2.000 microseconds Function getSum() passed the test The test took 8.500 microseconds Function getProduct() passed the test The test took 1.200 microseconds Function isFound() passed the test The test took 7.100 microseconds Function getPermutations() passed the test The test took 8.800 microseconds Function getFib() passed the test The test took 221.400 microseconds Function getAllFib() passed the test The test took 4.100 microseconds Function bubbleSort() passed the test The test took 1.186 seconds Function quickSort() passed the test The test took 3.580 milliseconds Function search() passed the test The test took 1.300 microseconds Function findMin() passed the test The test took 1.700 microseconds Function findMax() passed the test The test took 1.600 microseconds Function findNumOccurrence() passed the test The test took 1.400 microseconds Function factorial() passed the test The test took 200.000 nanoseconds Function isPalindrome() passed the test The test took 1.400 microseconds Function toBin() passed the test The test took 9.300 microseconds Function testPrintVector() passed the test The test took 9.900 microseconds */