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Add unit tests for FibonacciNumberCheck (#4225)
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package com.thealgorithms.maths;
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/**
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* Fibonacci: 0 1 1 2 3 5 8 13 21 ...
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* This code checks Fibonacci Numbers up to 45th number.
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* Other checks fail because of 'long'-type overflow.
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*/
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public class FibonacciNumberCheck {
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/**
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* Check if a number is perfect square number
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*
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* @param number the number to be checked
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* @return <tt>true</tt> if {@code number} is a perfect square, otherwise
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* <tt>false</tt>
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*/
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public static boolean isPerfectSquare(long number) {
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long sqrt = (long) Math.sqrt(number);
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return sqrt * sqrt == number;
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}
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/**
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* Check if a number is a Fibonacci number. This is true if and only if at
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* least one of 5x^2+4 or 5x^2-4 is a perfect square
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*
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* @param number the number
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* @return <tt>true</tt> if {@code number} is a Fibonacci number, otherwise
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* <tt>false</tt>
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* @link https://en.wikipedia.org/wiki/Fibonacci_number#Identification
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*/
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public static boolean isFibonacciNumber(long number) {
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long value1 = 5 * number * number + 4;
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long value2 = 5 * number * number - 4;
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return isPerfectSquare(value1) || isPerfectSquare(value2);
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}
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}
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