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Enhance docs, add more tests in TwosComplement
(#5862)
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package com.thealgorithms.bitmanipulation;
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/**
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* @wikipedia - https://en.wikipedia.org/wiki/Two%27s_complement
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* This Algorithm was first suggested by Jon Von Neumann
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* @author - https://github.com/Monk-AbhinayVerma
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* @return the two's complement of any binary number
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* This class provides a method to compute the Two's Complement of a given binary number.
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*
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* <p>In two's complement representation, a binary number's negative value is obtained
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* by taking the one's complement (inverting all bits) and then adding 1 to the result.
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* This method handles both small and large binary strings and ensures the output is
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* correct for all binary inputs, including edge cases like all zeroes and all ones.
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*
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* <p>For more information on Two's Complement:
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* @see <a href="https://en.wikipedia.org/wiki/Two%27s_complement">Wikipedia - Two's Complement</a>
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*
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* <p>Algorithm originally suggested by Jon von Neumann.
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*
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* @author Abhinay Verma (https://github.com/Monk-AbhinayVerma)
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*/
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public final class TwosComplement {
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private TwosComplement() {
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}
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// Function to get the 2's complement of a binary number
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/**
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* Computes the Two's Complement of the given binary string.
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* Steps:
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* 1. Compute the One's Complement (invert all bits).
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* 2. Add 1 to the One's Complement to get the Two's Complement.
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* 3. Iterate from the rightmost bit to the left, adding 1 and carrying over as needed.
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* 4. If a carry is still present after the leftmost bit, prepend '1' to handle overflow.
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*
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* @param binary The binary number as a string (only '0' and '1' characters allowed).
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* @return The two's complement of the input binary string as a new binary string.
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* @throws IllegalArgumentException If the input contains non-binary characters.
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*/
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public static String twosComplement(String binary) {
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StringBuilder onesComplement = new StringBuilder();
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// Step 1: Find the 1's complement (invert the bits)
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for (int i = 0; i < binary.length(); i++) {
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if (binary.charAt(i) == '0') {
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onesComplement.append('1');
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} else {
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onesComplement.append('0');
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}
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if (!binary.matches("[01]+")) {
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throw new IllegalArgumentException("Input must contain only '0' and '1'.");
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}
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// Step 2: Add 1 to the 1's complement
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StringBuilder onesComplement = new StringBuilder();
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for (char bit : binary.toCharArray()) {
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onesComplement.append(bit == '0' ? '1' : '0');
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}
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StringBuilder twosComplement = new StringBuilder(onesComplement);
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boolean carry = true;
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for (int i = onesComplement.length() - 1; i >= 0; i--) {
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if (onesComplement.charAt(i) == '1' && carry) {
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for (int i = onesComplement.length() - 1; i >= 0 && carry; i--) {
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if (onesComplement.charAt(i) == '1') {
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twosComplement.setCharAt(i, '0');
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} else if (onesComplement.charAt(i) == '0' && carry) {
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} else {
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twosComplement.setCharAt(i, '1');
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carry = false;
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}
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}
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// If there is still a carry, append '1' at the beginning
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if (carry) {
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twosComplement.insert(0, '1');
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}
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return twosComplement.toString();
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}
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}
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@ -1,6 +1,7 @@
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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 org.junit.jupiter.api.Test;
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@ -12,7 +13,6 @@ public class TwosComplementTest {
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@Test
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public void testTwosComplementAllZeroes() {
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// Test with a binary number consisting entirely of zeroes
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assertEquals("10000", TwosComplement.twosComplement("0000"));
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assertEquals("1000", TwosComplement.twosComplement("000"));
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assertEquals("100", TwosComplement.twosComplement("00"));
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@ -21,7 +21,6 @@ public class TwosComplementTest {
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@Test
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public void testTwosComplementAllOnes() {
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// Test with a binary number consisting entirely of ones
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assertEquals("00001", TwosComplement.twosComplement("11111"));
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assertEquals("0001", TwosComplement.twosComplement("1111"));
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assertEquals("001", TwosComplement.twosComplement("111"));
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@ -30,25 +29,36 @@ public class TwosComplementTest {
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@Test
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public void testTwosComplementMixedBits() {
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// Test with binary numbers with mixed bits
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assertEquals("1111", TwosComplement.twosComplement("0001")); // 1's complement: 1110, then add 1: 1111
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assertEquals("1001", TwosComplement.twosComplement("0111")); // 1's complement: 1000
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assertEquals("11001", TwosComplement.twosComplement("00111")); // 1's complement: 11000, add 1: 11001
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assertEquals("011", TwosComplement.twosComplement("101")); // 1's complement: 010, add 1: 011
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assertEquals("1111", TwosComplement.twosComplement("0001")); // 1 -> 1111
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assertEquals("1001", TwosComplement.twosComplement("0111")); // 0111 -> 1001
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assertEquals("11001", TwosComplement.twosComplement("00111")); // 00111 -> 11001
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assertEquals("011", TwosComplement.twosComplement("101")); // 101 -> 011
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}
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@Test
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public void testTwosComplementSingleBit() {
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// Test with single bit
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assertEquals("10", TwosComplement.twosComplement("0"));
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assertEquals("1", TwosComplement.twosComplement("1"));
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assertEquals("10", TwosComplement.twosComplement("0")); // 0 -> 10
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assertEquals("1", TwosComplement.twosComplement("1")); // 1 -> 1
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}
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@Test
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public void testTwosComplementWithLeadingZeroes() {
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// Test with leading zeroes in the input
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assertEquals("1111", TwosComplement.twosComplement("0001"));
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assertEquals("101", TwosComplement.twosComplement("011"));
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assertEquals("110", TwosComplement.twosComplement("010"));
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assertEquals("1111", TwosComplement.twosComplement("0001")); // 0001 -> 1111
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assertEquals("101", TwosComplement.twosComplement("011")); // 011 -> 101
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assertEquals("110", TwosComplement.twosComplement("010")); // 010 -> 110
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}
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@Test
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public void testInvalidBinaryInput() {
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// Test for invalid input that contains non-binary characters.
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assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("102"));
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assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("abc"));
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assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("10a01"));
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}
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@Test
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public void testEmptyInput() {
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// Edge case: Empty input should result in an IllegalArgumentException.
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assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement(""));
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}
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}
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