mirror of
https://bitbucket.org/Mattrixwv/javaclasses.git
synced 2025-12-06 15:03:58 -05:00
Added some algorithms to a class
This commit is contained in:
BIN
mattrixwv/Algorithms.class
Normal file
BIN
mattrixwv/Algorithms.class
Normal file
Binary file not shown.
503
mattrixwv/Algorithms.java
Normal file
503
mattrixwv/Algorithms.java
Normal file
@@ -0,0 +1,503 @@
|
||||
//Java/JavaClasses/Algorithms.java
|
||||
//Matthew Ellison
|
||||
// Created: 03-02-19
|
||||
//Modified: 03-02-19
|
||||
//This class holds many algorithms that I have found it useful to keep around
|
||||
//As such all of the functions in here are static and meant to be used as stand alone functions
|
||||
/*
|
||||
Copyright (C) 2019 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 <https://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
|
||||
package mattrixwv;
|
||||
|
||||
|
||||
import java.util.Arrays;
|
||||
import java.math.BigInteger;
|
||||
import java.util.ArrayList;
|
||||
import java.util.Collections;
|
||||
|
||||
|
||||
public class Algorithms{
|
||||
//This function returns a list with all the prime numbers <= goalNumber
|
||||
public static ArrayList<Integer> getPrimes(Integer goalNumber){
|
||||
ArrayList<Integer> primes = new ArrayList<Integer>(); //Holds the prime numbers
|
||||
Boolean foundFactor = false; //A flag for whether a factor of the current number has been found
|
||||
|
||||
//If the numebr is 0 or negative return an empty list
|
||||
if(goalNumber <= 1){
|
||||
return primes;
|
||||
}
|
||||
//Otherwise the number is at least 2, so 2 should be added to the list
|
||||
else{
|
||||
primes.add(2);
|
||||
}
|
||||
|
||||
//We cna now start at 3 and skipp all even numbers, because they cannot be prime
|
||||
for(int possiblePrime = 3;possiblePrime <= goalNumber;possiblePrime += 2){
|
||||
//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
|
||||
Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
|
||||
//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
|
||||
for(int primesCnt = 0;primes.get(primesCnt) <= topPossibleFactor.intValue();){
|
||||
if((possiblePrime % primes.get(primesCnt)) == 0){
|
||||
foundFactor = true;
|
||||
break;
|
||||
}
|
||||
else{
|
||||
++primesCnt;
|
||||
}
|
||||
//Check if the index has gone out of range
|
||||
if(primesCnt >= primes.size()){
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't find a factor then the current number must be prime
|
||||
if(!foundFactor){
|
||||
primes.add(possiblePrime);
|
||||
}
|
||||
else{
|
||||
foundFactor = false;
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it
|
||||
Collections.sort(primes);
|
||||
return primes;
|
||||
}
|
||||
public static ArrayList<BigInteger> getPrimes(BigInteger goalNumber){
|
||||
ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //Holds the prime numbers
|
||||
Boolean foundFactor = false; //A flag for whether a factor of the current number has been found
|
||||
|
||||
//If the numeber is 1, 0 or negative return an empty list
|
||||
if(goalNumber.compareTo(BigInteger.valueOf(1)) <= 0){
|
||||
return primes;
|
||||
}
|
||||
//Otherwise the number is at least 2, so 2 should be added to the list
|
||||
else{
|
||||
primes.add(BigInteger.valueOf(2));
|
||||
}
|
||||
|
||||
//We cna now start at 3 and skipp all even numbers, because they cannot be prime
|
||||
for(BigInteger possiblePrime = BigInteger.valueOf(3);possiblePrime.compareTo(goalNumber) <= 0;possiblePrime = possiblePrime.add(BigInteger.valueOf(2))){
|
||||
//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
|
||||
BigInteger topPossibleFactor = possiblePrime.sqrt().add(BigInteger.valueOf(1));
|
||||
//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
|
||||
for(int primesCnt = 0;primes.get(primesCnt).compareTo(topPossibleFactor) <= 0;){
|
||||
if((possiblePrime.mod(primes.get(primesCnt))) == BigInteger.valueOf(0)){
|
||||
foundFactor = true;
|
||||
break;
|
||||
}
|
||||
else{
|
||||
++primesCnt;
|
||||
}
|
||||
//Check if the index has gone out of range
|
||||
if(primesCnt >= primes.size()){
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't find a factor then the current number must be prime
|
||||
if(!foundFactor){
|
||||
primes.add(possiblePrime);
|
||||
}
|
||||
else{
|
||||
foundFactor = false;
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it
|
||||
Collections.sort(primes);
|
||||
return primes;
|
||||
}
|
||||
//This function gets a certain number of primes
|
||||
public static ArrayList<Integer> getNumPrimes(int numberOfPrimes){
|
||||
ArrayList<Integer> primes = new ArrayList<Integer>(); //Holds the prime numbers
|
||||
Boolean foundFactor = false; //A flag for whether a factor of the current number has been found
|
||||
|
||||
//If the numebr is 0 or negative return an empty list
|
||||
if(numberOfPrimes <= 1){
|
||||
return primes;
|
||||
}
|
||||
//Otherwise the number is at least 2, so 2 should be added to the list
|
||||
else{
|
||||
primes.add(2);
|
||||
}
|
||||
|
||||
//We cna now start at 3 and skipp all even numbers, because they cannot be prime
|
||||
for(int possiblePrime = 3;primes.size() < numberOfPrimes;possiblePrime += 2){
|
||||
//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
|
||||
Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
|
||||
//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
|
||||
for(int primesCnt = 0;primes.get(primesCnt) <= topPossibleFactor.intValue();){
|
||||
if((possiblePrime % primes.get(primesCnt)) == 0){
|
||||
foundFactor = true;
|
||||
break;
|
||||
}
|
||||
else{
|
||||
++primesCnt;
|
||||
}
|
||||
//Check if the index has gone out of range
|
||||
if(primesCnt >= primes.size()){
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't find a factor then the current number must be prime
|
||||
if(!foundFactor){
|
||||
primes.add(possiblePrime);
|
||||
}
|
||||
else{
|
||||
foundFactor = false;
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it
|
||||
Collections.sort(primes);
|
||||
return primes;
|
||||
}
|
||||
public static ArrayList<BigInteger> getNumPrimes(BigInteger numberOfPrimes){
|
||||
ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //Holds the prime numbers
|
||||
Boolean foundFactor = false; //A flag for whether a factor of the current number has been found
|
||||
|
||||
//If the numebr is 0 or negative return an empty list
|
||||
if(numberOfPrimes.compareTo(BigInteger.valueOf(1)) <= 0){
|
||||
return primes;
|
||||
}
|
||||
//Otherwise the number is at least 2, so 2 should be added to the list
|
||||
else{
|
||||
primes.add(BigInteger.valueOf(2));
|
||||
}
|
||||
|
||||
//We cna now start at 3 and skipp all even numbers, because they cannot be prime
|
||||
for(BigInteger possiblePrime = BigInteger.valueOf(3);numberOfPrimes.compareTo((BigInteger.valueOf(primes.size()))) > 0;possiblePrime = possiblePrime.add(BigInteger.valueOf(2))){
|
||||
//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
|
||||
BigInteger topPossibleFactor = possiblePrime.sqrt().add(BigInteger.valueOf(1));
|
||||
//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
|
||||
for(int primesCnt = 0;primes.get(primesCnt).compareTo(topPossibleFactor) <= 0;){
|
||||
if((possiblePrime.mod(primes.get(primesCnt))) == BigInteger.valueOf(0)){
|
||||
foundFactor = true;
|
||||
break;
|
||||
}
|
||||
else{
|
||||
++primesCnt;
|
||||
}
|
||||
//Check if the index has gone out of range
|
||||
if(primesCnt >= primes.size()){
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't find a factor then the current number must be prime
|
||||
if(!foundFactor){
|
||||
primes.add(possiblePrime);
|
||||
}
|
||||
else{
|
||||
foundFactor = false;
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it
|
||||
Collections.sort(primes);
|
||||
return primes;
|
||||
}
|
||||
//This function returns all factors of goalNumber
|
||||
public static ArrayList<Integer> getFactors(int goalNumber){
|
||||
//You need to get all the primes that could be factors of this number so you can test them
|
||||
Double topPossiblePrime = Math.ceil(Math.sqrt(goalNumber));
|
||||
ArrayList<Integer> primes = getPrimes(topPossiblePrime.intValue());
|
||||
ArrayList<Integer> factors = new ArrayList<Integer>();
|
||||
|
||||
//You need to step through each prime and see if it is a factor in the number
|
||||
for(int cnt = 0;cnt < primes.size();){
|
||||
//If the prime is a factor you need to add it to the factor list
|
||||
if((goalNumber % primes.get(cnt)) == 0){
|
||||
factors.add(primes.get(cnt));
|
||||
goalNumber /= primes.get(cnt);
|
||||
}
|
||||
//Otherwise advance the location in primes you are looking at
|
||||
//By not advancing if the prime is a factor you allow for multiple of the same prime number as a factor
|
||||
else{
|
||||
++cnt;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't get any factors the number itself must be a prime
|
||||
if(factors.size() == 0){
|
||||
factors.add(goalNumber);
|
||||
goalNumber /= goalNumber;
|
||||
}
|
||||
|
||||
//If for some reason the goalNumber is not 1 throw an error
|
||||
///Need to add the appropriate error here
|
||||
|
||||
//Return the list of factors
|
||||
return factors;
|
||||
}
|
||||
public static ArrayList<BigInteger> getFactors(BigInteger goalNumber){
|
||||
//You need to get all the primes that could be factors of this number so you can test them
|
||||
BigInteger topPossiblePrime = goalNumber.sqrt();
|
||||
ArrayList<BigInteger> primes = getPrimes(topPossiblePrime);
|
||||
ArrayList<BigInteger> factors = new ArrayList<BigInteger>();
|
||||
|
||||
//You need to step through each prime and see if it is a factor in the number
|
||||
for(int cnt = 0;cnt < primes.size();){
|
||||
//If the prime is a factor you need to add it to the factor list
|
||||
if((goalNumber.mod(primes.get(cnt))).compareTo(BigInteger.valueOf(0)) == 0){
|
||||
factors.add(primes.get(cnt));
|
||||
goalNumber = goalNumber.divide(primes.get(cnt));
|
||||
}
|
||||
//Otherwise advance the location in primes you are looking at
|
||||
//By not advancing if the prime is a factor you allow for multiple of the same prime number as a factor
|
||||
else{
|
||||
++cnt;
|
||||
}
|
||||
}
|
||||
|
||||
//If you didn't get any factors the number itself must be a prime
|
||||
if(factors.size() == 0){
|
||||
factors.add(goalNumber);
|
||||
goalNumber.divide(goalNumber);
|
||||
}
|
||||
|
||||
//If for some reason the goalNumber is not 1 throw an error
|
||||
///Need to add the appropriate error here
|
||||
|
||||
//Return the list of factors
|
||||
return factors;
|
||||
}
|
||||
//This function returns all the divisors of goalNumber
|
||||
public static ArrayList<Integer> getDivisors(int goalNumber){
|
||||
ArrayList<Integer> divisors = new ArrayList<Integer>();
|
||||
//Start by checking that the number is positive
|
||||
if(goalNumber <= 0){
|
||||
return divisors;
|
||||
}
|
||||
//If the number is 1 return just itself
|
||||
else if(goalNumber == 1){
|
||||
divisors.add(1);
|
||||
}
|
||||
//Otherwise add 1 and itself to the list
|
||||
else{
|
||||
divisors.add(1);
|
||||
divisors.add(goalNumber);
|
||||
}
|
||||
|
||||
//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
|
||||
Double topPossibleDivisor = Math.ceil(Math.sqrt(goalNumber));
|
||||
for(Integer possibleDivisor = 2;possibleDivisor <= topPossibleDivisor;++possibleDivisor){
|
||||
//If you find one add it and the number it creates to the list
|
||||
if((goalNumber % possibleDivisor) == 0){
|
||||
divisors.add(possibleDivisor);
|
||||
//Accound for the possibility of sqrt(goalNumber) being a divisor
|
||||
if(possibleDivisor != topPossibleDivisor.intValue()){
|
||||
divisors.add(goalNumber / possibleDivisor);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it for neatness
|
||||
Collections.sort(divisors);
|
||||
//Return the list
|
||||
return divisors;
|
||||
}
|
||||
public static ArrayList<BigInteger> getDivisors(BigInteger goalNumber){
|
||||
ArrayList<BigInteger> divisors = new ArrayList<BigInteger>();
|
||||
//Start by checking that the number is positive
|
||||
if(goalNumber.compareTo(BigInteger.valueOf(0)) <= 0){
|
||||
return divisors;
|
||||
}
|
||||
//If the number is 1 return just itself
|
||||
else if(goalNumber.equals(BigInteger.valueOf(1))){
|
||||
divisors.add(BigInteger.valueOf(1));
|
||||
}
|
||||
//Otherwise add 1 and itself to the list
|
||||
else{
|
||||
divisors.add(BigInteger.valueOf(1));
|
||||
divisors.add(goalNumber);
|
||||
}
|
||||
|
||||
//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
|
||||
BigInteger topPossibleDivisor = goalNumber.sqrt();
|
||||
for(BigInteger possibleDivisor = BigInteger.valueOf(2);possibleDivisor.compareTo(topPossibleDivisor) <= 0;possibleDivisor = possibleDivisor.add(BigInteger.valueOf(1))){
|
||||
//If you find one add it and the number it creates to the list
|
||||
if(goalNumber.mod(possibleDivisor).equals(BigInteger.valueOf(0))){
|
||||
divisors.add(possibleDivisor);
|
||||
//Accound for the possibility of sqrt(goalNumber) being a divisor
|
||||
if(!possibleDivisor.equals(topPossibleDivisor)){
|
||||
divisors.add(goalNumber.divide(possibleDivisor));
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
//Sort the list before returning it for neatness
|
||||
Collections.sort(divisors);
|
||||
//Return the list
|
||||
return divisors;
|
||||
}
|
||||
//This function returns all the divisors of goalNumber
|
||||
public static Integer getFib(int goalSubscript){
|
||||
//Setup the variables
|
||||
Integer[] fibNums = {1, 1, 0}; //A list to keep track of the Fibonacci numbers. It need only be 3 long because we only need the one we are working on and the last 2
|
||||
|
||||
//If the number is <= 0 return 0
|
||||
if(goalSubscript <= 0){
|
||||
return 0;
|
||||
}
|
||||
|
||||
//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
|
||||
Integer fibLoc = 2;
|
||||
for(fibLoc = 2;fibLoc < goalSubscript;++fibLoc){
|
||||
fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3] + fibNums[(fibLoc - 2) % 3];
|
||||
}
|
||||
|
||||
//Return the propper number. The location counter is 1 off of the subscript
|
||||
return fibNums[(fibLoc - 1) % 3];
|
||||
}
|
||||
public static BigInteger getFib(BigInteger goalSubscript){
|
||||
//Setup the variables
|
||||
BigInteger[] fibNums = {BigInteger.valueOf(1), BigInteger.valueOf(1), BigInteger.valueOf(0)}; //A list to keep track of the Fibonacci numbers. It need only be 3 long because we only need the one we are working on and the last 2
|
||||
|
||||
//If the number is <= 0 return 0
|
||||
if(goalSubscript.compareTo(BigInteger.valueOf(0)) <= 0){
|
||||
return BigInteger.valueOf(0);
|
||||
}
|
||||
|
||||
//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
|
||||
Integer fibLoc = 2;
|
||||
for(fibLoc = 2;goalSubscript.compareTo(BigInteger.valueOf(fibLoc)) > 0;++fibLoc){
|
||||
fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3].add(fibNums[(fibLoc - 2) % 3]);
|
||||
}
|
||||
|
||||
//Return the propper number. The location counter is 1 off of the subscript
|
||||
return fibNums[(fibLoc - 1) % 3];
|
||||
}
|
||||
//This function returns a list of all Fibonacci numbers <= goalNumber
|
||||
public static ArrayList<Integer> getAllFib(int goalNumber){
|
||||
//Setup the variables
|
||||
ArrayList<Integer> fibNums = new ArrayList<Integer>(); //A list to save the Fibonacci numbers
|
||||
|
||||
//If the number is <= 0 return an empty list
|
||||
if(goalNumber <= 0){
|
||||
return fibNums;
|
||||
}
|
||||
|
||||
//This means that at least 2 1's are elements
|
||||
fibNums.add(1);
|
||||
fibNums.add(1);
|
||||
|
||||
//Loop to generate the rest of the Fibonacci numbers
|
||||
while(fibNums.get(fibNums.size() - 1) <= goalNumber){
|
||||
fibNums.add(fibNums.get(fibNums.size() - 1) + fibNums.get(fibNums.size() - 2));
|
||||
}
|
||||
|
||||
//At this point the most recent number is > goalNumber, so remove it and return the rest of the list
|
||||
fibNums.remove(fibNums.size() - 1);
|
||||
return fibNums;
|
||||
}
|
||||
public static ArrayList<BigInteger> getAllFib(BigInteger goalNumber){
|
||||
//Setup the variables
|
||||
ArrayList<BigInteger> fibNums = new ArrayList<BigInteger>(); //A list to save the Fibonacci numbers
|
||||
|
||||
//If the number is <= 0 return an empty list
|
||||
if(goalNumber.compareTo(BigInteger.valueOf(0)) <= 0){
|
||||
return fibNums;
|
||||
}
|
||||
|
||||
//This means that at least 2 1's are elements
|
||||
fibNums.add(BigInteger.valueOf(1));
|
||||
fibNums.add(BigInteger.valueOf(1));
|
||||
|
||||
//Loop to generate the rest of the Fibonacci numbers
|
||||
while(fibNums.get(fibNums.size() - 1).compareTo(goalNumber) <= 0){
|
||||
fibNums.add(fibNums.get(fibNums.size() - 1).add(fibNums.get(fibNums.size() - 2)));
|
||||
}
|
||||
|
||||
//At this point the most recent number is > goalNumber, so remove it and return the rest of the list
|
||||
fibNums.remove(fibNums.size() - 1);
|
||||
return fibNums;
|
||||
}
|
||||
//This function returns the sum of all elements in the list
|
||||
public static int getSum(ArrayList<Integer> nums){
|
||||
//If a blank list was passed to the function return 0 as the sum
|
||||
if(nums.size() == 0){
|
||||
return 0;
|
||||
}
|
||||
|
||||
//Setup the variables
|
||||
Integer sum = 0;
|
||||
|
||||
//Loop through every element in the list and add them together
|
||||
for(Integer num : nums){
|
||||
sum += num;
|
||||
}
|
||||
|
||||
//Return the sum of all elements
|
||||
return sum;
|
||||
}
|
||||
public static BigInteger getBigSum(ArrayList<BigInteger> nums){
|
||||
//If a blank list was passed to the function return 0 as the sum
|
||||
if(nums.size() == 0){
|
||||
return BigInteger.valueOf(0);
|
||||
}
|
||||
|
||||
//Setup the variables
|
||||
BigInteger sum = BigInteger.valueOf(0);
|
||||
|
||||
//Loop through every element in the list and add them together
|
||||
for(BigInteger num : nums){
|
||||
sum = sum.add(num);
|
||||
}
|
||||
|
||||
//Return the sum of all elements
|
||||
return sum;
|
||||
}
|
||||
//This function returns the product of all elements in the list
|
||||
public static int getProd(ArrayList<Integer> nums){
|
||||
//If a blank list was passed tot he fuction return 0 as the product
|
||||
if(nums.size() == 0){
|
||||
return 0;
|
||||
}
|
||||
|
||||
//Setup the variables
|
||||
Integer product = 1; //Start at 1 because x * 1 = x
|
||||
|
||||
//Loop through every element in the list and multiply them together
|
||||
for(Integer num : nums){
|
||||
product *= num;
|
||||
}
|
||||
|
||||
//Return the product of all elements
|
||||
return product;
|
||||
}
|
||||
public static BigInteger getBigProd(ArrayList<BigInteger> nums){
|
||||
//If a blank list was passed tot he fuction return 0 as the product
|
||||
if(nums.size() == 0){
|
||||
return BigInteger.valueOf(0);
|
||||
}
|
||||
|
||||
//Setup the variables
|
||||
BigInteger product = BigInteger.valueOf(1); //Start at 1 because x * 1 = x
|
||||
|
||||
//Loop through every element in the list and multiply them together
|
||||
for(BigInteger num : nums){
|
||||
product = product.multiply(num);
|
||||
}
|
||||
|
||||
//Return the product of all elements
|
||||
return product;
|
||||
}
|
||||
}
|
||||
372
testAlgorithms.java
Normal file
372
testAlgorithms.java
Normal file
@@ -0,0 +1,372 @@
|
||||
//Java/JavaClasses/testAlgorithms.java
|
||||
//Matthew Ellison
|
||||
// Created: 03-02-19
|
||||
//Modified: 03-02-19
|
||||
//This program runs tests on all function in the Algorithms library
|
||||
/*
|
||||
Copyright (C) 2019 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 <https://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
|
||||
import mattrixwv.Algorithms;
|
||||
import mattrixwv.Stopwatch;
|
||||
|
||||
import java.math.BigInteger;
|
||||
import java.util.ArrayList;
|
||||
import java.util.Arrays;
|
||||
|
||||
|
||||
public class testAlgorithms{
|
||||
public static void main(String[] argv){
|
||||
//Create a timer so you can time the execution time of the tests
|
||||
Stopwatch timer = new Stopwatch();
|
||||
|
||||
timer.start();
|
||||
//Test getPrimes
|
||||
testGetPrimes();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getNumPrimes
|
||||
timer.start();
|
||||
testGetNumPrimes();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getFactors
|
||||
timer.start();
|
||||
testGetFactors();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getDivisors
|
||||
timer.start();
|
||||
testGetDivisors();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getFib
|
||||
timer.start();
|
||||
testGetFib();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getAllFib
|
||||
timer.start();
|
||||
testGetAllFib();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Tets getSum
|
||||
timer.start();
|
||||
testGetSum();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Test getProd
|
||||
timer.start();
|
||||
testGetProd();
|
||||
timer.stop();
|
||||
System.out.println("It took " + timer.getStr() + " to run this test\n");
|
||||
|
||||
//Print a closing message
|
||||
System.out.println("Tests completed");
|
||||
}
|
||||
//This function tests the getPrimes function
|
||||
private static void testGetPrimes(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
ArrayList<Integer> correctAnswer = new ArrayList<Integer>(Arrays.asList(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));
|
||||
Integer topNum = 100;
|
||||
ArrayList<Integer> answer = Algorithms.getPrimes(topNum);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getPrimes failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
ArrayList<BigInteger> bigCorrectAnswer = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(2), BigInteger.valueOf(3), BigInteger.valueOf(5), BigInteger.valueOf(7), BigInteger.valueOf(11), BigInteger.valueOf(13), BigInteger.valueOf(17), BigInteger.valueOf(19), BigInteger.valueOf(23), BigInteger.valueOf(29), BigInteger.valueOf(31), BigInteger.valueOf(37), BigInteger.valueOf(41), BigInteger.valueOf(43), BigInteger.valueOf(47), BigInteger.valueOf(53), BigInteger.valueOf(59), BigInteger.valueOf(61), BigInteger.valueOf(67), BigInteger.valueOf(71), BigInteger.valueOf(73), BigInteger.valueOf(79), BigInteger.valueOf(83), BigInteger.valueOf(89), BigInteger.valueOf(97)));
|
||||
BigInteger bigTopNum = BigInteger.valueOf(100);
|
||||
ArrayList<BigInteger> bigAnswer = Algorithms.getPrimes(bigTopNum);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getPrimes failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getPrimes passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getNumPrimes function
|
||||
private static void testGetNumPrimes(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
ArrayList<Integer> correctAnswer = new ArrayList<Integer>(Arrays.asList(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));
|
||||
Integer numPrimes = 25;
|
||||
ArrayList<Integer> answer = Algorithms.getNumPrimes(numPrimes);
|
||||
//Print an error message if the function return the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getNumPrimes failed at the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
ArrayList<BigInteger> bigCorrectAnswer = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(2), BigInteger.valueOf(3), BigInteger.valueOf(5), BigInteger.valueOf(7), BigInteger.valueOf(11), BigInteger.valueOf(13), BigInteger.valueOf(17), BigInteger.valueOf(19), BigInteger.valueOf(23), BigInteger.valueOf(29), BigInteger.valueOf(31), BigInteger.valueOf(37), BigInteger.valueOf(41), BigInteger.valueOf(43), BigInteger.valueOf(47), BigInteger.valueOf(53), BigInteger.valueOf(59), BigInteger.valueOf(61), BigInteger.valueOf(67), BigInteger.valueOf(71), BigInteger.valueOf(73), BigInteger.valueOf(79), BigInteger.valueOf(83), BigInteger.valueOf(89), BigInteger.valueOf(97)));
|
||||
BigInteger bigTopNum = BigInteger.valueOf(25);
|
||||
ArrayList<BigInteger> bigAnswer = Algorithms.getNumPrimes(bigTopNum);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getPrimes failed the second test");
|
||||
System.out.println("Correct Answer = " + bigCorrectAnswer.toString());
|
||||
System.out.println("Answer = " + bigAnswer.toString());
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getNumPrimes passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getFactors function
|
||||
private static void testGetFactors(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
ArrayList<Integer> correctAnswer = new ArrayList<Integer>(Arrays.asList(2, 2, 5, 5));
|
||||
Integer number = 100;
|
||||
ArrayList<Integer> answer = Algorithms.getFactors(number);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getFactors failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
correctAnswer = new ArrayList<Integer>(Arrays.asList(2, 7, 7));
|
||||
number = 98;
|
||||
answer = Algorithms.getFactors(number);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getFactors failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 3
|
||||
ArrayList<BigInteger> bigCorrectAnswer = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(2), BigInteger.valueOf(7), BigInteger.valueOf(7)));
|
||||
BigInteger bigNumber = BigInteger.valueOf(98);
|
||||
ArrayList<BigInteger> bigAnswer = Algorithms.getFactors(bigNumber);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getFactors failed the third test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getFactors passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getDivisors function
|
||||
private static void testGetDivisors(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
ArrayList<Integer> correctAnswer = new ArrayList<Integer>(Arrays.asList(1, 2, 4, 5, 10, 20, 25, 50, 100));
|
||||
Integer topNum = 100;
|
||||
ArrayList<Integer> answer = Algorithms.getDivisors(topNum);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getDivisors failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
ArrayList<BigInteger> bigCorrectAnswer = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(1), BigInteger.valueOf(2), BigInteger.valueOf(4), BigInteger.valueOf(5), BigInteger.valueOf(10), BigInteger.valueOf(20), BigInteger.valueOf(25), BigInteger.valueOf(50), BigInteger.valueOf(100)));
|
||||
BigInteger bigTopNum = BigInteger.valueOf(100);
|
||||
ArrayList<BigInteger> bigAnswer = Algorithms.getDivisors(bigTopNum);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getDivisors failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getDivisors passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getFib function
|
||||
private static void testGetFib(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
Integer correctAnswer = 144;
|
||||
Integer number = 12;
|
||||
Integer answer = Algorithms.getFib(number);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getFib failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
correctAnswer = 6765;
|
||||
number = 20;
|
||||
answer = Algorithms.getFib(number);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getFib failed the seconds test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 3
|
||||
BigInteger bigCorrectAnswer = new BigInteger("1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816");
|
||||
BigInteger bigNumber = BigInteger.valueOf(4782);
|
||||
BigInteger bigAnswer = Algorithms.getFib(bigNumber);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getFib failed the third test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getFib passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getAllFib function
|
||||
private static void testGetAllFib(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
ArrayList<Integer> correctAnswer = new ArrayList<Integer>(Arrays.asList(1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89));
|
||||
Integer highestNumber = 100;
|
||||
ArrayList<Integer> answer = Algorithms.getAllFib(highestNumber);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getAllFib failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
correctAnswer = new ArrayList<Integer>(Arrays.asList(1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987));
|
||||
highestNumber = 1000;
|
||||
answer = Algorithms.getAllFib(highestNumber);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getAllFib failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 3
|
||||
ArrayList<BigInteger> bigCorrectAnswer = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(1), BigInteger.valueOf(1), BigInteger.valueOf(2), BigInteger.valueOf(3), BigInteger.valueOf(5), BigInteger.valueOf(8), BigInteger.valueOf(13), BigInteger.valueOf(21), BigInteger.valueOf(34), BigInteger.valueOf(55), BigInteger.valueOf(89)));
|
||||
BigInteger bigHighestNumber = BigInteger.valueOf(100);
|
||||
ArrayList<BigInteger> bigAnswer = Algorithms.getAllFib(bigHighestNumber);
|
||||
//Print an error message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getAllFib failed the third test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getAllFib passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getSum function
|
||||
private static void testGetSum(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
Integer correctAnswer = 0;
|
||||
ArrayList<Integer> numbers = new ArrayList<Integer>();
|
||||
Integer answer = Algorithms.getSum(numbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getSum failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
correctAnswer = 118;
|
||||
numbers = new ArrayList<Integer>(Arrays.asList(2, 2, 3, 3, 4, 4, 100));
|
||||
answer = Algorithms.getSum(numbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getSum failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 3
|
||||
BigInteger bigCorrectAnswer = BigInteger.valueOf(118);
|
||||
ArrayList<BigInteger> bigNumbers = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(2), BigInteger.valueOf(2), BigInteger.valueOf(3), BigInteger.valueOf(3), BigInteger.valueOf(4), BigInteger.valueOf(4), BigInteger.valueOf(100)));
|
||||
BigInteger bigAnswer = Algorithms.getBigSum(bigNumbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getSum failed the third test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getSum passed all tests");
|
||||
}
|
||||
}
|
||||
//This function tests the getProd function
|
||||
private static void testGetProd(){
|
||||
Boolean failed = false; //Holds whether a test was failed
|
||||
|
||||
//Test 1
|
||||
Integer correctAnswer = 0;
|
||||
ArrayList<Integer> numbers = new ArrayList<Integer>();
|
||||
Integer answer = Algorithms.getProd(numbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getProd failed the first test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 2
|
||||
correctAnswer = 57600;
|
||||
numbers = new ArrayList<Integer>(Arrays.asList(2, 2, 3, 3, 4, 4, 100));
|
||||
answer = Algorithms.getProd(numbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!correctAnswer.equals(answer)){
|
||||
System.out.println("getProd failed the second test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Test 3
|
||||
BigInteger bigCorrectAnswer = BigInteger.valueOf(57600);
|
||||
ArrayList<BigInteger> bigNumbers = new ArrayList<BigInteger>(Arrays.asList(BigInteger.valueOf(2), BigInteger.valueOf(2), BigInteger.valueOf(3), BigInteger.valueOf(3), BigInteger.valueOf(4), BigInteger.valueOf(4), BigInteger.valueOf(100)));
|
||||
BigInteger bigAnswer = Algorithms.getBigProd(bigNumbers);
|
||||
//Print a message if the function returned the wrong answer
|
||||
if(!bigCorrectAnswer.equals(bigAnswer)){
|
||||
System.out.println("getProd failed the third test");
|
||||
failed = true;
|
||||
}
|
||||
|
||||
//Print a message if all of the tests passed
|
||||
if(!failed){
|
||||
System.out.println("getProd passed all tests");
|
||||
}
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user