Added javadoc comments

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2024-08-11 21:31:00 -04:00
parent ae1346dbcd
commit 3feefdb7dd
12 changed files with 825 additions and 60 deletions

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@@ -1,10 +1,10 @@
//JavaClasses/src/main/java/mattrixwv/NumberAlgorithms.java
//Matthew Ellison
// Created: 07-03-21
//Modified: 04-13-23
//Modified: 08-11-24
//This class contains algorithms for numbers that I've found it useful to keep around
/*
Copyright (C) 2023 Matthew Ellison
Copyright (C) 2024 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
@@ -32,15 +32,40 @@ import java.util.List;
import com.mattrixwv.exceptions.InvalidResult;
/**
* Utility class that provides a variety of number-related algorithms,
* such as prime number generation, Fibonacci number calculation,
* factorial computation, and greatest common divisor determination.
* <p> This class cannot be instantiated. </p>
*/
public class NumberAlgorithms{
/**
* Private constructor to prevent instantiation
*/
private NumberAlgorithms(){}
/**
* Error message used for invalid factorial inputs.
*/
public static final String FACTORIAL_NEGATIVE_MESSAGE = "n! cannot be negative";
//This function returns a list with all the prime numbers <= goalNumber
//?This function returns a list with all the prime numbers <= goalNumber
/**
* Returns a list of all prime numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating prime numbers
* @return a list of prime numbers less than or equal to {@code goalNumber}
* @see #getPrimes(long)
*/
public static List<Integer> getPrimes(int goalNumber){
return ArrayAlgorithms.longToInt(getPrimes((long) goalNumber));
}
/**
* Returns a list of all prime numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating prime numbers
* @return a list of prime numbers less than or equal to {@code goalNumber}
*/
public static List<Long> getPrimes(long goalNumber){
ArrayList<Long> primes = new ArrayList<>(); //Holds the prime numbers
boolean foundFactor = false; //A flag for whether a factor of the current number has been found
@@ -54,7 +79,7 @@ public class NumberAlgorithms{
primes.add(2L);
}
//We cna now start at 3 and skipp all even numbers, because they cannot be prime
//We can now start at 3 and skip all even numbers, because they cannot be prime
for(long possiblePrime = 3L;possiblePrime <= goalNumber;possiblePrime += 2L){
//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
@@ -79,6 +104,12 @@ public class NumberAlgorithms{
Collections.sort(primes);
return primes;
}
/**
* Returns a list of all prime numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating prime numbers
* @return a list of prime numbers less than or equal to {@code goalNumber}
*/
public static List<BigInteger> getPrimes(BigInteger goalNumber){
ArrayList<BigInteger> primes = new ArrayList<>(); //Holds the prime numbers
boolean foundFactor = false; //A flag for whether a factor of the current number has been found
@@ -119,10 +150,23 @@ public class NumberAlgorithms{
}
//This function gets a certain number of primes
//?This function gets a certain number of primes
/**
* Returns a list of the specified number of prime numbers.
*
* @param numberOfPrimes the number of prime numbers to generate
* @return a list containing the first {@code numberOfPrimes} prime numbers
* @see #getNumPrimes(long)
*/
public static List<Integer> getNumPrimes(int numberOfPrimes){
return ArrayAlgorithms.longToInt(getNumPrimes((long)numberOfPrimes));
}
/**
* Returns a list of the specified number of prime numbers.
*
* @param numberOfPrimes the number of prime numbers to generate
* @return a list containing the first {@code numberOfPrimes} prime numbers
*/
public static List<Long> getNumPrimes(long numberOfPrimes){
ArrayList<Long> primes = new ArrayList<>(); //Holds the prime numbers
boolean foundFactor = false; //A flag for whether a factor of the current number has been found
@@ -161,6 +205,12 @@ public class NumberAlgorithms{
Collections.sort(primes);
return primes;
}
/**
* Returns a list of the specified number of prime numbers.
*
* @param numberOfPrimes the number of prime numbers to generate
* @return a list containing the first {@code numberOfPrimes} prime numbers
*/
public static List<BigInteger> getNumPrimes(BigInteger numberOfPrimes){
ArrayList<BigInteger> primes = new ArrayList<>(); //Holds the prime numbers
boolean foundFactor = false; //A flag for whether a factor of the current number has been found
@@ -201,7 +251,13 @@ public class NumberAlgorithms{
}
//This function return true if the value passed to it is prime
//?This function return true if the value passed to it is prime
/**
* Determines if a given number is prime.
*
* @param possiblePrime the number to be checked for primality
* @return {@code true} if {@code possiblePrime} is a prime number, {@code false} otherwise
*/
public static boolean isPrime(long possiblePrime){
if(possiblePrime <= 3){
return possiblePrime > 1;
@@ -216,6 +272,12 @@ public class NumberAlgorithms{
}
return true;
}
/**
* Determines if a given number is prime.
*
* @param possiblePrime the number to be checked for primality
* @return {@code true} if {@code possiblePrime} is a prime number, {@code false} otherwise
*/
public static boolean isPrime(BigInteger possiblePrime){
if(possiblePrime.compareTo(BigInteger.valueOf(3)) <= 0){
return possiblePrime.compareTo(BigInteger.ONE) > 0;
@@ -232,10 +294,23 @@ public class NumberAlgorithms{
}
//This function returns all factors of goalNumber
//?This function returns all factors of goalNumber
/**
* Returns a list of prime factors of the specified number.
*
* @param goalNumber the number to factorize
* @return a list of prime factors of {@code goalNumber}
* @see #getFactors(long)
*/
public static List<Integer> getFactors(int goalNumber) throws InvalidResult{
return ArrayAlgorithms.longToInt(getFactors((long)goalNumber));
}
/**
* Returns a list of prime factors of the specified number.
*
* @param goalNumber the number to factorize
* @return a list of prime factors of {@code goalNumber}
*/
public static List<Long> getFactors(long goalNumber) throws InvalidResult{
//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));
@@ -270,6 +345,12 @@ public class NumberAlgorithms{
//Return the list of factors
return factors;
}
/**
* Returns a list of prime factors of the specified number.
*
* @param goalNumber the number to factorize
* @return a list of prime factors of {@code goalNumber}
*/
public static List<BigInteger> getFactors(BigInteger goalNumber) throws InvalidResult{
//You need to get all the primes that could be factors of this number so you can test them
BigInteger topPossiblePrime = goalNumber.sqrt().add(BigInteger.ONE);
@@ -306,10 +387,23 @@ public class NumberAlgorithms{
}
//This function returns all the divisors of goalNumber
//?This function returns all the divisors of goalNumber
/**
* Returns a list of divisors of the specified number.
*
* @param goalNumber the number to find divisors for
* @return a list of divisors of {@code goalNumber}
* @see #getDivisors(long)
*/
public static List<Integer> getDivisors(int goalNumber){
return ArrayAlgorithms.longToInt(getDivisors((long)goalNumber));
}
/**
* Returns a list of divisors of the specified number.
*
* @param goalNumber the number to find divisors for
* @return a list of divisors of {@code goalNumber}
*/
public static List<Long> getDivisors(long goalNumber){
HashSet<Long> divisors = new HashSet<>();
//Start by checking that the number is positive
@@ -338,6 +432,12 @@ public class NumberAlgorithms{
//Return the list
return divisorList;
}
/**
* Returns a list of divisors of the specified number.
*
* @param goalNumber the number to find divisors for
* @return a list of divisors of {@code goalNumber}
*/
public static List<BigInteger> getDivisors(BigInteger goalNumber){
HashSet<BigInteger> divisors = new HashSet<>();
//Start by checking that the number is positive
@@ -367,10 +467,24 @@ public class NumberAlgorithms{
return divisorList;
}
//This function returns the goalSubscript'th Fibonacci number
//?This function returns the goalSubscript'th Fibonacci number
/**
* Returns the Fibonacci number at the specified position.
*
* @param goalSubscript the position of the desired Fibonacci number
* @return the Fibonacci number at position {@code goalSubscript}
* @see #getFib(long)
*/
public static int getFib(int goalSubscript){
return (int)getFib((long)goalSubscript);
}
/**
* Returns the Fibonacci number at the specified position.
*
* @param goalSubscript the position of the desired Fibonacci number
* @return the Fibonacci number at position {@code goalSubscript}
*/
public static long getFib(long goalSubscript){
//Setup the variables
long[] fibNums = {1L, 1L, 0L}; //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
@@ -389,6 +503,12 @@ public class NumberAlgorithms{
//Return the proper number. The location counter is 1 off of the subscript
return fibNums[(fibLoc - 1) % 3];
}
/**
* Returns the Fibonacci number at the specified position.
*
* @param goalSubscript the position of the desired Fibonacci number
* @return the Fibonacci number at position {@code goalSubscript}
*/
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
@@ -408,10 +528,24 @@ public class NumberAlgorithms{
return fibNums[(fibLoc - 1) % 3];
}
//This function returns a list of all Fibonacci numbers <= goalNumber
//?This function returns a list of all Fibonacci numbers <= goalNumber
/**
* Returns a list of all Fibonacci numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating Fibonacci numbers
* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
* @see #getAllFib(long)
*/
public static List<Integer> getAllFib(int goalNumber){
return ArrayAlgorithms.longToInt(getAllFib((long) goalNumber));
}
/**
* Returns a list of all Fibonacci numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating Fibonacci numbers
* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
*/
public static List<Long> getAllFib(long goalNumber){
//Setup the variables
ArrayList<Long> fibNums = new ArrayList<>(); //A list to save the Fibonacci numbers
@@ -434,6 +568,12 @@ public class NumberAlgorithms{
fibNums.remove(fibNums.size() - 1);
return fibNums;
}
/**
* Returns a list of all Fibonacci numbers less than or equal to the specified number.
*
* @param goalNumber the upper limit for generating Fibonacci numbers
* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
*/
public static List<BigInteger> getAllFib(BigInteger goalNumber){
//Setup the variables
ArrayList<BigInteger> fibNums = new ArrayList<>(); //A list to save the Fibonacci numbers
@@ -457,10 +597,26 @@ public class NumberAlgorithms{
return fibNums;
}
//This function returns the factorial of the number passed to it
//?This function returns the factorial of the number passed to it
/**
* Calculates the factorial of the specified number.
*
* @param goalNumber the number to calculate the factorial for
* @return the factorial of {@code goalNumber}
* @throws IllegalArgumentException if {@code goalNumber} is negative
* @see #factorial(long)
*/
public static int factorial(int num) throws InvalidParameterException{
return (int)factorial((long)num);
}
/**
* Calculates the factorial of the specified number.
*
* @param goalNumber the number to calculate the factorial for
* @return the factorial of {@code goalNumber}
* @throws IllegalArgumentException if {@code goalNumber} is negative
*/
public static long factorial(long num) throws InvalidParameterException{
long fact = 1L; //The value of the factorial
@@ -475,6 +631,13 @@ public class NumberAlgorithms{
return fact;
}
/**
* Calculates the factorial of the specified number.
*
* @param goalNumber the number to calculate the factorial for
* @return the factorial of {@code goalNumber}
* @throws IllegalArgumentException if {@code goalNumber} is negative
*/
public static BigInteger factorial(BigInteger num) throws InvalidParameterException{
BigInteger fact = BigInteger.valueOf(1L);
@@ -490,10 +653,26 @@ public class NumberAlgorithms{
return fact;
}
//This function returns the GCD of the two numbers sent to it
//?This function returns the GCD of the two numbers sent to it
/**
* Calculates the greatest common divisor (GCD) of two numbers.
*
* @param num1 the first number
* @param num2 the second number
* @return the greatest common divisor of {@code num1} and {@code num2}
* @see #gcd(long, long)
*/
public static int gcd(int num1, int num2){
return (int)gcd((long)num1, (long)num2);
}
/**
* Calculates the greatest common divisor (GCD) of two numbers.
*
* @param num1 the first number
* @param num2 the second number
* @return the greatest common divisor of {@code num1} and {@code num2}
*/
public static long gcd(long num1, long num2){
while((num1 != 0) && (num2 != 0)){
if(num1 > num2){
@@ -505,6 +684,13 @@ public class NumberAlgorithms{
}
return num1 | num2;
}
/**
* Calculates the greatest common divisor (GCD) of two numbers.
*
* @param num1 the first number
* @param num2 the second number
* @return the greatest common divisor of {@code num1} and {@code num2}
*/
public static BigInteger gcd(BigInteger num1, BigInteger num2){
while(!num1.equals(BigInteger.ZERO) && !num2.equals(BigInteger.ZERO)){
if(num1.compareTo(num2) > 0){
@@ -517,11 +703,23 @@ public class NumberAlgorithms{
return num1.or(num2);
}
//Converts a number to its binary equivalent
//?Converts a number to its binary equivalent
/**
* Converts a number to its binary equivalent.
*
* @param num the number to convert
* @return the binary equivalent of {@code num}
*/
public static String toBin(long num){
//Convert the number to binary string
return Long.toBinaryString(num);
}
/**
* Converts a number to its binary equivalent.
*
* @param num the number to convert
* @return the binary equivalent of {@code num}
*/
public static String toBin(BigInteger num){
//Conver the number to binary string
return num.toString(2);