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Added javadoc comments
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@@ -1,10 +1,10 @@
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//JavaClasses/src/main/java/com/mattrixwv/generators/TriangularNumberGenerator.java
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//Mattrixwv
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// Created: 08-20-22
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//Modified: 04-13-23
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//Modified: 08-11-24
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//This class generates triangular numbers
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/*
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Copyright (C) 2023 Matthew Ellison
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Copyright (C) 2024 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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@@ -26,19 +26,48 @@ import java.util.Iterator;
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import java.util.NoSuchElementException;
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/**
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* A generator for triangular numbers, which implements the {@link Iterator} interface.
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*
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* <p>
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* Triangular numbers are figurate numbers that represent triangles. The n-th triangular number is given by
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* the formula: T(n) = n(n + 1) / 2.
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* </p>
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*
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* <p>
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* This generator allows iteration over triangular numbers starting from the first.
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* </p>
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*/
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public class TriangularNumberGenerator implements Iterator<Long>{
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/**
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* The number to generate the next triangular number from
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*/
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protected long num;
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/**
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* Constructs a new TriangularNumberGenerator starting from the first triangular number.
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*/
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public TriangularNumberGenerator(){
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num = 1L;
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}
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/**
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* Checks if there is a next triangular number that can be generated without overflow.
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*
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* @return {@code true} if the next triangular number can be generated, {@code false} otherwise
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*/
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@Override
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public boolean hasNext(){
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return ((num * num) + num) > num;
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}
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/**
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* Returns the next triangular number.
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*
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* @return the next triangular number
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* @throws NoSuchElementException if the next triangular number would cause overflow
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*/
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@Override
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public Long next(){
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if(!hasNext()){
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@@ -50,6 +79,12 @@ public class TriangularNumberGenerator implements Iterator<Long>{
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return newNum;
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}
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/**
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* Checks if a given number is a triangular number.
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*
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* @param x the number to check
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* @return {@code true} if the number is triangular, {@code false} otherwise
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*/
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public static boolean isTriangular(Long x){
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Long n = Math.round((Math.sqrt(1.0D + (8L * x)) - 1L) / 2L);
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return (((n * n) + n) / 2L) == x;
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