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refactor: Enhance docs, add more tests in TwosComplement #5862

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Original file line number Diff line number Diff line change
@@ -1,41 +1,62 @@
package com.thealgorithms.bitmanipulation;

/**
* @wikipedia - https://en.wikipedia.org/wiki/Two%27s_complement
* This Algorithm was first suggested by Jon Von Neumann
* @author - https://github.com/Monk-AbhinayVerma
* @return the two's complement of any binary number
* This class provides a method to compute the Two's Complement of a given binary number.
*
* <p>In two's complement representation, a binary number's negative value is obtained
* by taking the one's complement (inverting all bits) and then adding 1 to the result.
* This method handles both small and large binary strings and ensures the output is
* correct for all binary inputs, including edge cases like all zeroes and all ones.
*
* <p>For more information on Two's Complement:
* @see <a href="https://en.wikipedia.org/wiki/Two%27s_complement">Wikipedia - Two's Complement</a>
*
* <p>Algorithm originally suggested by Jon von Neumann.
*
* @author Abhinay Verma (https://github.com/Monk-AbhinayVerma)
*/
public final class TwosComplement {
private TwosComplement() {
}

// Function to get the 2's complement of a binary number
/**
* Computes the Two's Complement of the given binary string.
* Steps:
* 1. Compute the One's Complement (invert all bits).
* 2. Add 1 to the One's Complement to get the Two's Complement.
* 3. Iterate from the rightmost bit to the left, adding 1 and carrying over as needed.
* 4. If a carry is still present after the leftmost bit, prepend '1' to handle overflow.
*
* @param binary The binary number as a string (only '0' and '1' characters allowed).
* @return The two's complement of the input binary string as a new binary string.
* @throws IllegalArgumentException If the input contains non-binary characters.
*/
public static String twosComplement(String binary) {
if (!binary.matches("[01]+")) {
throw new IllegalArgumentException("Input must contain only '0' and '1'.");
}

StringBuilder onesComplement = new StringBuilder();
// Step 1: Find the 1's complement (invert the bits)
for (int i = 0; i < binary.length(); i++) {
if (binary.charAt(i) == '0') {
onesComplement.append('1');
} else {
onesComplement.append('0');
}
for (char bit : binary.toCharArray()) {
onesComplement.append(bit == '0' ? '1' : '0');
}
// Step 2: Add 1 to the 1's complement

StringBuilder twosComplement = new StringBuilder(onesComplement);
boolean carry = true;
for (int i = onesComplement.length() - 1; i >= 0; i--) {
if (onesComplement.charAt(i) == '1' && carry) {

for (int i = onesComplement.length() - 1; i >= 0 && carry; i--) {
if (onesComplement.charAt(i) == '1') {
twosComplement.setCharAt(i, '0');
} else if (onesComplement.charAt(i) == '0' && carry) {
} else {
twosComplement.setCharAt(i, '1');
carry = false;
}
}
// If there is still a carry, append '1' at the beginning

if (carry) {
twosComplement.insert(0, '1');
}

return twosComplement.toString();
}
}
Original file line number Diff line number Diff line change
@@ -1,6 +1,7 @@
package com.thealgorithms.bitmanipulation;

import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertThrows;

import org.junit.jupiter.api.Test;

Expand All @@ -12,7 +13,6 @@ public class TwosComplementTest {

@Test
public void testTwosComplementAllZeroes() {
// Test with a binary number consisting entirely of zeroes
assertEquals("10000", TwosComplement.twosComplement("0000"));
assertEquals("1000", TwosComplement.twosComplement("000"));
assertEquals("100", TwosComplement.twosComplement("00"));
Expand All @@ -21,7 +21,6 @@ public void testTwosComplementAllZeroes() {

@Test
public void testTwosComplementAllOnes() {
// Test with a binary number consisting entirely of ones
assertEquals("00001", TwosComplement.twosComplement("11111"));
assertEquals("0001", TwosComplement.twosComplement("1111"));
assertEquals("001", TwosComplement.twosComplement("111"));
Expand All @@ -30,25 +29,36 @@ public void testTwosComplementAllOnes() {

@Test
public void testTwosComplementMixedBits() {
// Test with binary numbers with mixed bits
assertEquals("1111", TwosComplement.twosComplement("0001")); // 1's complement: 1110, then add 1: 1111
assertEquals("1001", TwosComplement.twosComplement("0111")); // 1's complement: 1000
assertEquals("11001", TwosComplement.twosComplement("00111")); // 1's complement: 11000, add 1: 11001
assertEquals("011", TwosComplement.twosComplement("101")); // 1's complement: 010, add 1: 011
assertEquals("1111", TwosComplement.twosComplement("0001")); // 1 -> 1111
assertEquals("1001", TwosComplement.twosComplement("0111")); // 0111 -> 1001
assertEquals("11001", TwosComplement.twosComplement("00111")); // 00111 -> 11001
assertEquals("011", TwosComplement.twosComplement("101")); // 101 -> 011
}

@Test
public void testTwosComplementSingleBit() {
// Test with single bit
assertEquals("10", TwosComplement.twosComplement("0"));
assertEquals("1", TwosComplement.twosComplement("1"));
assertEquals("10", TwosComplement.twosComplement("0")); // 0 -> 10
assertEquals("1", TwosComplement.twosComplement("1")); // 1 -> 1
}

@Test
public void testTwosComplementWithLeadingZeroes() {
// Test with leading zeroes in the input
assertEquals("1111", TwosComplement.twosComplement("0001"));
assertEquals("101", TwosComplement.twosComplement("011"));
assertEquals("110", TwosComplement.twosComplement("010"));
assertEquals("1111", TwosComplement.twosComplement("0001")); // 0001 -> 1111
assertEquals("101", TwosComplement.twosComplement("011")); // 011 -> 101
assertEquals("110", TwosComplement.twosComplement("010")); // 010 -> 110
}

@Test
public void testInvalidBinaryInput() {
// Test for invalid input that contains non-binary characters.
assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("102"));
assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("abc"));
assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement("10a01"));
}

@Test
public void testEmptyInput() {
// Edge case: Empty input should result in an IllegalArgumentException.
assertThrows(IllegalArgumentException.class, () -> TwosComplement.twosComplement(""));
}
}