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Add HigherLowerPowerOfTwo
algorithm (#5707)
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package com.thealgorithms.bitmanipulation;
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/**
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* HigherLowerPowerOfTwo class has two methods to find the next higher and lower power of two.
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* <p>
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* nextHigherPowerOfTwo method finds the next higher power of two.
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* nextLowerPowerOfTwo method finds the next lower power of two.
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* Both methods take an integer as input and return the next higher or lower power of two.
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* If the input is less than 1, the next higher power of two is 1.
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* If the input is less than or equal to 1, the next lower power of two is 0.
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* nextHigherPowerOfTwo method uses bitwise operations to find the next higher power of two.
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* nextLowerPowerOfTwo method uses Integer.highestOneBit method to find the next lower power of two.
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* The time complexity of both methods is O(1).
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* The space complexity of both methods is O(1).
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* </p>
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*
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* @author Hardvan
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*/
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public final class HigherLowerPowerOfTwo {
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private HigherLowerPowerOfTwo() {
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}
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/**
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* Finds the next higher power of two.
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*
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* @param x The given number.
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* @return The next higher power of two.
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*/
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public static int nextHigherPowerOfTwo(int x) {
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if (x < 1) {
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return 1;
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}
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x--;
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x |= x >> 1;
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x |= x >> 2;
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x |= x >> 4;
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x |= x >> 8;
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x |= x >> 16;
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return x + 1;
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}
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/**
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* Finds the next lower power of two.
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*
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* @param x The given number.
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* @return The next lower power of two.
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*/
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public static int nextLowerPowerOfTwo(int x) {
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if (x < 1) {
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return 0;
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}
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return Integer.highestOneBit(x);
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}
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}
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