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Added number generators
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//JavaClasses/src/main/java/mattrixwv/SieveOfEratosthenesBig.java
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//Matthew Ellison
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// Created: 06-30-21
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//Modified: 06-25-22
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//This class uses to Sieve of Eratosthenes to generate an infinite number of primes
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/*
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Copyright (C) 2022 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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package com.mattrixwv.generators;
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import java.math.BigInteger;
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import java.util.ArrayList;
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import java.util.Arrays;
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import java.util.HashMap;
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import java.util.Iterator;
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import java.util.Map;
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public class SieveOfEratosthenesBig implements Iterator<BigInteger>{
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BigInteger possiblePrime;
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private Map<BigInteger, ArrayList<BigInteger>> dict;
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public SieveOfEratosthenesBig(){
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dict = new HashMap<>();
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possiblePrime = BigInteger.TWO;
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}
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@Override
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public boolean hasNext(){
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return true;
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}
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@Override
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public BigInteger next(){
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BigInteger prime;
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if(possiblePrime.compareTo(BigInteger.TWO) <= 0){
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//Return 2 and move to 3
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prime = possiblePrime;
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possiblePrime = possiblePrime.add(BigInteger.ONE);
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return prime;
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}
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//Loop until you find a prime number
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for(;dict.containsKey(possiblePrime);possiblePrime = possiblePrime.add(BigInteger.TWO)){
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//Create the next entry for all entries in the map
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for(BigInteger num : dict.get(possiblePrime)){
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BigInteger loc = possiblePrime.add(num).add(num);
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if(!dict.containsKey(loc)){
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ArrayList<BigInteger> tempArray = new ArrayList<>(Arrays.asList(num));
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dict.put(loc, tempArray);
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}
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else{
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dict.get(loc).add(num);
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}
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}
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//Delete the current entry
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dict.remove(possiblePrime);
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}
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//Save that the number is a prime
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prime = possiblePrime;
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BigInteger loc = prime.multiply(BigInteger.valueOf(3));
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if(!dict.containsKey(loc)){
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ArrayList<BigInteger> tempArray = new ArrayList<>(Arrays.asList(prime));
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dict.put(loc, tempArray);
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}
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else{
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dict.get(loc).add(prime);
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}
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//Move on to the next possible prime
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possiblePrime = possiblePrime.add(BigInteger.TWO);
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return prime;
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}
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}
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