Add SortStack.java new algorithm

DIRECTORY.md

@@ -566,6 +566,7 @@
             * [NextSmallerElement](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/NextSmallerElement.java)
             * [PostfixToInfix](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/PostfixToInfix.java)
             * [PrefixToInfix](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/PrefixToInfix.java)
+            * [SortStack](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/SortStack.java)
             * [StackPostfixNotation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/stacks/StackPostfixNotation.java)
           * strings
             * [AhoCorasick](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/strings/AhoCorasick.java)
@@ -1027,6 +1028,7 @@
             * [NextSmallerElementTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/NextSmallerElementTest.java)
             * [PostfixToInfixTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/PostfixToInfixTest.java)
             * [PrefixToInfixTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/PrefixToInfixTest.java)
+            * [SortStackTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/SortStackTest.java)
             * [StackPostfixNotationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/stacks/StackPostfixNotationTest.java)
           * strings
             * [AhoCorasickTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/strings/AhoCorasickTest.java)

src/main/java/com/thealgorithms/stacks/SortStack.java

@@ -0,0 +1,60 @@
+package com.thealgorithms.stacks;
+
+import java.util.Stack;
+
+/**
+ * A utility class that provides a method to sort a stack using recursion.
+ * The elements are sorted in ascending order, with the largest element at the top.
+ * This algorithm is implemented using only recursion and the original stack,
+ * without utilizing any additional data structures apart from the stack itself.
+ */
+public final class SortStack {
+    private SortStack() {
+    }
+
+    /**
+     * Sorts the given stack in ascending order using recursion.
+     * The sorting is performed such that the largest element ends up on top of the stack.
+     * This method modifies the original stack and does not return a new stack.
+     *
+     * The algorithm works as follows:
+     * 1. Remove the top element.
+     * 2. Recursively sort the remaining stack.
+     * 3. Insert the removed element back into the sorted stack at the correct position.
+     *
+     * @param stack The stack to be sorted, containing Integer elements.
+     * @throws IllegalArgumentException if the stack contains `null` elements.
+     */
+    public static void sortStack(Stack<Integer> stack) {
+        if (stack.isEmpty()) {
+            return;
+        }
+
+        int top = stack.pop();
+        sortStack(stack);
+        insertInSortedOrder(stack, top);
+    }
+
+    /**
+     * Helper method to insert an element into the correct position in a sorted stack.
+     * This method is called recursively to place the given element into the stack
+     * such that the stack remains sorted in ascending order.
+     *
+     * The element is inserted in such a way that all elements below it are smaller
+     * (if the stack is non-empty), and elements above it are larger, maintaining
+     * the ascending order.
+     *
+     * @param stack The stack in which the element needs to be inserted.
+     * @param element The element to be inserted into the stack in sorted order.
+     */
+    private static void insertInSortedOrder(Stack<Integer> stack, int element) {
+        if (stack.isEmpty() || element > stack.peek()) {
+            stack.push(element);
+            return;
+        }
+
+        int top = stack.pop();
+        insertInSortedOrder(stack, element);
+        stack.push(top);
+    }
+}

src/test/java/com/thealgorithms/stacks/SortStackTest.java

@@ -0,0 +1,77 @@
+package com.thealgorithms.stacks;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+import java.util.Stack;
+import org.junit.jupiter.api.BeforeEach;
+import org.junit.jupiter.api.Test;
+
+public class SortStackTest {
+
+    private Stack<Integer> stack;
+
+    @BeforeEach
+    public void setUp() {
+        stack = new Stack<>();
+    }
+
+    @Test
+    public void testSortEmptyStack() {
+        SortStack.sortStack(stack);
+        assertTrue(stack.isEmpty()); // An empty stack should remain empty
+    }
+
+    @Test
+    public void testSortSingleElementStack() {
+        stack.push(10);
+        SortStack.sortStack(stack);
+        assertEquals(1, stack.size());
+        assertEquals(10, (int) stack.peek()); // Single element should remain unchanged
+    }
+
+    @Test
+    public void testSortAlreadySortedStack() {
+        stack.push(1);
+        stack.push(2);
+        stack.push(3);
+        stack.push(4);
+        SortStack.sortStack(stack);
+
+        assertEquals(4, stack.size());
+        assertEquals(4, (int) stack.pop());
+        assertEquals(3, (int) stack.pop());
+        assertEquals(2, (int) stack.pop());
+        assertEquals(1, (int) stack.pop());
+    }
+
+    @Test
+    public void testSortUnsortedStack() {
+        stack.push(3);
+        stack.push(1);
+        stack.push(4);
+        stack.push(2);
+        SortStack.sortStack(stack);
+
+        assertEquals(4, stack.size());
+        assertEquals(4, (int) stack.pop());
+        assertEquals(3, (int) stack.pop());
+        assertEquals(2, (int) stack.pop());
+        assertEquals(1, (int) stack.pop());
+    }
+
+    @Test
+    public void testSortWithDuplicateElements() {
+        stack.push(3);
+        stack.push(1);
+        stack.push(3);
+        stack.push(2);
+        SortStack.sortStack(stack);
+
+        assertEquals(4, stack.size());
+        assertEquals(3, (int) stack.pop());
+        assertEquals(3, (int) stack.pop());
+        assertEquals(2, (int) stack.pop());
+        assertEquals(1, (int) stack.pop());
+    }
+}