Enhance docs, add more tests in TwosComplement (#5862)

This commit is contained in:
Hardik Pawar
2024-10-26 14:48:17 +05:30
committed by GitHub
parent ef7f2e97e3
commit fb85a4884f
2 changed files with 63 additions and 32 deletions

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@ -1,41 +1,62 @@
package com.thealgorithms.bitmanipulation; package com.thealgorithms.bitmanipulation;
/** /**
* @wikipedia - https://en.wikipedia.org/wiki/Two%27s_complement * This class provides a method to compute the Two's Complement of a given binary number.
* This Algorithm was first suggested by Jon Von Neumann *
* @author - https://github.com/Monk-AbhinayVerma * <p>In two's complement representation, a binary number's negative value is obtained
* @return the two's complement of any binary number * 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 { public final class TwosComplement {
private 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) { public static String twosComplement(String binary) {
StringBuilder onesComplement = new StringBuilder(); if (!binary.matches("[01]+")) {
// Step 1: Find the 1's complement (invert the bits) throw new IllegalArgumentException("Input must contain only '0' and '1'.");
for (int i = 0; i < binary.length(); i++) {
if (binary.charAt(i) == '0') {
onesComplement.append('1');
} else {
onesComplement.append('0');
}
} }
// Step 2: Add 1 to the 1's complement
StringBuilder onesComplement = new StringBuilder();
for (char bit : binary.toCharArray()) {
onesComplement.append(bit == '0' ? '1' : '0');
}
StringBuilder twosComplement = new StringBuilder(onesComplement); StringBuilder twosComplement = new StringBuilder(onesComplement);
boolean carry = true; 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'); twosComplement.setCharAt(i, '0');
} else if (onesComplement.charAt(i) == '0' && carry) { } else {
twosComplement.setCharAt(i, '1'); twosComplement.setCharAt(i, '1');
carry = false; carry = false;
} }
} }
// If there is still a carry, append '1' at the beginning
if (carry) { if (carry) {
twosComplement.insert(0, '1'); twosComplement.insert(0, '1');
} }
return twosComplement.toString(); return twosComplement.toString();
} }
} }

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@ -1,6 +1,7 @@
package com.thealgorithms.bitmanipulation; package com.thealgorithms.bitmanipulation;
import static org.junit.jupiter.api.Assertions.assertEquals; import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertThrows;
import org.junit.jupiter.api.Test; import org.junit.jupiter.api.Test;
@ -12,7 +13,6 @@ public class TwosComplementTest {
@Test @Test
public void testTwosComplementAllZeroes() { public void testTwosComplementAllZeroes() {
// Test with a binary number consisting entirely of zeroes
assertEquals("10000", TwosComplement.twosComplement("0000")); assertEquals("10000", TwosComplement.twosComplement("0000"));
assertEquals("1000", TwosComplement.twosComplement("000")); assertEquals("1000", TwosComplement.twosComplement("000"));
assertEquals("100", TwosComplement.twosComplement("00")); assertEquals("100", TwosComplement.twosComplement("00"));
@ -21,7 +21,6 @@ public class TwosComplementTest {
@Test @Test
public void testTwosComplementAllOnes() { public void testTwosComplementAllOnes() {
// Test with a binary number consisting entirely of ones
assertEquals("00001", TwosComplement.twosComplement("11111")); assertEquals("00001", TwosComplement.twosComplement("11111"));
assertEquals("0001", TwosComplement.twosComplement("1111")); assertEquals("0001", TwosComplement.twosComplement("1111"));
assertEquals("001", TwosComplement.twosComplement("111")); assertEquals("001", TwosComplement.twosComplement("111"));
@ -30,25 +29,36 @@ public class TwosComplementTest {
@Test @Test
public void testTwosComplementMixedBits() { public void testTwosComplementMixedBits() {
// Test with binary numbers with mixed bits assertEquals("1111", TwosComplement.twosComplement("0001")); // 1 -> 1111
assertEquals("1111", TwosComplement.twosComplement("0001")); // 1's complement: 1110, then add 1: 1111 assertEquals("1001", TwosComplement.twosComplement("0111")); // 0111 -> 1001
assertEquals("1001", TwosComplement.twosComplement("0111")); // 1's complement: 1000 assertEquals("11001", TwosComplement.twosComplement("00111")); // 00111 -> 11001
assertEquals("11001", TwosComplement.twosComplement("00111")); // 1's complement: 11000, add 1: 11001 assertEquals("011", TwosComplement.twosComplement("101")); // 101 -> 011
assertEquals("011", TwosComplement.twosComplement("101")); // 1's complement: 010, add 1: 011
} }
@Test @Test
public void testTwosComplementSingleBit() { public void testTwosComplementSingleBit() {
// Test with single bit assertEquals("10", TwosComplement.twosComplement("0")); // 0 -> 10
assertEquals("10", TwosComplement.twosComplement("0")); assertEquals("1", TwosComplement.twosComplement("1")); // 1 -> 1
assertEquals("1", TwosComplement.twosComplement("1"));
} }
@Test @Test
public void testTwosComplementWithLeadingZeroes() { public void testTwosComplementWithLeadingZeroes() {
// Test with leading zeroes in the input assertEquals("1111", TwosComplement.twosComplement("0001")); // 0001 -> 1111
assertEquals("1111", TwosComplement.twosComplement("0001")); assertEquals("101", TwosComplement.twosComplement("011")); // 011 -> 101
assertEquals("101", TwosComplement.twosComplement("011")); assertEquals("110", TwosComplement.twosComplement("010")); // 010 -> 110
assertEquals("110", TwosComplement.twosComplement("010")); }
@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(""));
} }
} }