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Added BitwiseGCD.java and BitwiseGCDTest.java (#6545)
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package com.thealgorithms.bitmanipulation;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import static org.junit.jupiter.api.Assertions.assertThrows;
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import java.math.BigInteger;
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import org.junit.jupiter.api.Test;
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public class BitwiseGCDTest {
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@Test
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public void testGcdBasic() {
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assertEquals(6L, BitwiseGCD.gcd(48L, 18L));
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}
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@Test
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public void testGcdZeroAndNonZero() {
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assertEquals(5L, BitwiseGCD.gcd(0L, 5L));
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assertEquals(5L, BitwiseGCD.gcd(5L, 0L));
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}
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@Test
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public void testGcdBothZero() {
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assertEquals(0L, BitwiseGCD.gcd(0L, 0L));
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}
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@Test
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public void testGcdNegativeInputs() {
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assertEquals(6L, BitwiseGCD.gcd(-48L, 18L));
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assertEquals(6L, BitwiseGCD.gcd(48L, -18L));
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assertEquals(6L, BitwiseGCD.gcd(-48L, -18L));
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}
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@Test
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public void testGcdIntOverload() {
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assertEquals(6, BitwiseGCD.gcd(48, 18));
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}
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@Test
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public void testGcdArray() {
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long[] values = {48L, 18L, 6L};
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assertEquals(6L, BitwiseGCD.gcd(values));
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}
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@Test
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public void testGcdEmptyArray() {
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long[] empty = {};
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assertEquals(0L, BitwiseGCD.gcd(empty));
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}
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@Test
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public void testGcdCoprime() {
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assertEquals(1L, BitwiseGCD.gcd(17L, 13L));
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}
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@Test
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public void testGcdPowersOfTwo() {
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assertEquals(1024L, BitwiseGCD.gcd(1L << 20, 1L << 10));
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}
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@Test
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public void testGcdLargeNumbers() {
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assertEquals(6L, BitwiseGCD.gcd(270L, 192L));
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}
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@Test
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public void testGcdEarlyExitArray() {
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long[] manyCoprimes = {7L, 11L, 13L, 17L, 19L, 23L, 29L};
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assertEquals(1L, BitwiseGCD.gcd(manyCoprimes));
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}
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@Test
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public void testGcdSameNumbers() {
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assertEquals(42L, BitwiseGCD.gcd(42L, 42L));
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}
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@Test
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public void testGcdLongMinValueBigInteger() {
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// gcd(Long.MIN_VALUE, 0) = |Long.MIN_VALUE| = 2^63; must use BigInteger to represent it
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BigInteger expected = BigInteger.ONE.shiftLeft(63); // 2^63
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assertEquals(expected, BitwiseGCD.gcdBig(Long.MIN_VALUE, 0L));
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}
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@Test
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public void testGcdLongMinValueLongOverloadThrows() {
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// The long overload cannot return 2^63 as a positive signed long, so it must throw
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assertThrows(ArithmeticException.class, () -> BitwiseGCD.gcd(Long.MIN_VALUE, 0L));
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}
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@Test
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public void testGcdWithLongMinAndOther() {
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// gcd(Long.MIN_VALUE, 2^10) should be 2^10
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long p = 1L << 10;
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BigInteger expected = BigInteger.valueOf(p);
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assertEquals(expected, BitwiseGCD.gcdBig(Long.MIN_VALUE, p));
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}
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@Test
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public void testGcdWithBothLongMin() {
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// gcd(Long.MIN_VALUE, Long.MIN_VALUE) = 2^63
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BigInteger expected = BigInteger.ONE.shiftLeft(63);
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assertEquals(expected, BitwiseGCD.gcdBig(Long.MIN_VALUE, Long.MIN_VALUE));
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}
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@Test
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public void testGcdEdgeCasesMixed() {
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assertEquals(1L, BitwiseGCD.gcd(1L, Long.MAX_VALUE));
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assertEquals(1L, BitwiseGCD.gcd(Long.MAX_VALUE, 1L));
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}
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}
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