refactor: cleanup RadixSort (#5280)

* refactor: refactoring RadixSort, adding test, update DIRECTORY.md

* checkstyle: fix formatting for test

* refactor: adding possibility to sort negative numbers. Improve tests. Improving code readability

* checkstyle: fix formatting

* refactor: resolve conflicts with master branch

* refactor: remove negative integers support

* checkstyle: fix formatting

* checkstyle: fix formatting, revert test

* refactor: adding return array to countDigits and buildOutput method, adding more specific description to javadocs

---------

Co-authored-by: Alex Klymenko <alx@alx.com>
Co-authored-by: Piotr Idzik <65706193+vil02@users.noreply.github.com>

DIRECTORY.md

@@ -882,6 +882,7 @@
             * [OddEvenSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/OddEvenSortTest.java)
             * [PancakeSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/PancakeSortTest.java)
             * [QuickSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/QuickSortTest.java)
+            * [RadixSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/RadixSortTest.java)
             * [SelectionSortRecursiveTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/SelectionSortRecursiveTest.java)
             * [SelectionSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/SelectionSortTest.java)
             * [ShellSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/ShellSortTest.java)

src/main/java/com/thealgorithms/sorts/RadixSort.java

@@ -1,62 +1,98 @@
 package com.thealgorithms.sorts;
 
+import com.thealgorithms.maths.NumberOfDigits;
 import java.util.Arrays;
 
-final class RadixSort {
+/**
+ * This class provides an implementation of the radix sort algorithm.
+ * It sorts an array of nonnegative integers in increasing order.
+ */
+public final class RadixSort {
+    private static final int BASE = 10;
+
     private RadixSort() {
     }
 
-    private static int getMax(int[] arr, int n) {
+    /**
-        int mx = arr[0];
+     * Sorts an array of nonnegative integers using the radix sort algorithm.
-        for (int i = 1; i < n; i++) {
+     *
-            if (arr[i] > mx) {
+     * @param array the array to be sorted
-                mx = arr[i];
+     * @return the sorted array
-            }
+     * @throws IllegalArgumentException if any negative integers are found
-        }
+     */
-        return mx;
+    public static int[] sort(int[] array) {
+        if (array.length == 0) {
+            return array;
         }
 
-    private static void countSort(int[] arr, int n, int exp) {
+        checkForNegativeInput(array);
-        int[] output = new int[n];
+        radixSort(array);
-        int i;
+        return array;
-        int[] count = new int[10];
-        Arrays.fill(count, 0);
-
-        for (i = 0; i < n; i++) {
-            count[(arr[i] / exp) % 10]++;
     }
 
-        for (i = 1; i < 10; i++) {
+    /**
+     * Checks if the array contains any negative integers.
+     *
+     * @param array the array to be checked
+     * @throws IllegalArgumentException if any negative integers are found
+     */
+    private static void checkForNegativeInput(int[] array) {
+        for (int number : array) {
+            if (number < 0) {
+                throw new IllegalArgumentException("Array contains non-positive integers.");
+            }
+        }
+    }
+
+    private static void radixSort(int[] array) {
+        final int max = Arrays.stream(array).max().getAsInt();
+        for (int i = 0, exp = 1; i < NumberOfDigits.numberOfDigits(max); i++, exp *= BASE) {
+            countingSortByDigit(array, exp);
+        }
+    }
+
+    /**
+     * A utility method to perform counting sort of array[] according to the digit represented by exp.
+     *
+     * @param array the array to be sorted
+     * @param exp   the exponent representing the current digit position
+     */
+    private static void countingSortByDigit(int[] array, int exp) {
+        int[] count = countDigits(array, exp);
+        accumulateCounts(count);
+        int[] output = buildOutput(array, exp, count);
+        copyOutput(array, output);
+    }
+
+    private static int[] countDigits(int[] array, int exp) {
+        int[] count = new int[BASE];
+        for (int i = 0; i < array.length; i++) {
+            count[getDigit(array[i], exp)]++;
+        }
+        return count;
+    }
+
+    private static int getDigit(int number, int position) {
+        return (number / position) % BASE;
+    }
+
+    private static void accumulateCounts(int[] count) {
+        for (int i = 1; i < BASE; i++) {
             count[i] += count[i - 1];
         }
-
-        for (i = n - 1; i >= 0; i--) {
-            output[count[(arr[i] / exp) % 10] - 1] = arr[i];
-            count[(arr[i] / exp) % 10]--;
     }
 
-        System.arraycopy(output, 0, arr, 0, n);
+    private static int[] buildOutput(int[] array, int exp, int[] count) {
+        int[] output = new int[array.length];
+        for (int i = array.length - 1; i >= 0; i--) {
+            int digit = getDigit(array[i], exp);
+            output[count[digit] - 1] = array[i];
+            count[digit]--;
+        }
+        return output;
     }
 
-    private static void radixsort(int[] arr, int n) {
+    private static void copyOutput(int[] array, int[] output) {
-        int m = getMax(arr, n);
+        System.arraycopy(output, 0, array, 0, array.length);
-
-        for (int exp = 1; m / exp > 0; exp *= 10) {
-            countSort(arr, n, exp);
-        }
-    }
-
-    static void print(int[] arr, int n) {
-        for (int i = 0; i < n; i++) {
-            System.out.print(arr[i] + " ");
-        }
-    }
-
-    public static void main(String[] args) {
-        int[] arr = {170, 45, 75, 90, 802, 24, 2, 66};
-        int n = arr.length;
-        radixsort(arr, n);
-        print(arr, n);
     }
 }
-// Written by James Mc Dermott(theycallmemac)

src/test/java/com/thealgorithms/sorts/RadixSortTest.java

@@ -0,0 +1,30 @@
+package com.thealgorithms.sorts;
+
+import static org.junit.jupiter.api.Assertions.assertArrayEquals;
+import static org.junit.jupiter.api.Assertions.assertThrows;
+
+import java.util.stream.Stream;
+import org.junit.jupiter.api.Test;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.Arguments;
+import org.junit.jupiter.params.provider.MethodSource;
+
+public class RadixSortTest {
+    @ParameterizedTest
+    @MethodSource("provideTestCases")
+    public void test(int[] inputArray, int[] expectedArray) {
+        assertArrayEquals(RadixSort.sort(inputArray), expectedArray);
+    }
+
+    private static Stream<Arguments> provideTestCases() {
+        return Stream.of(Arguments.of(new int[] {170, 45, 75, 90, 802, 24, 2, 66}, new int[] {2, 24, 45, 66, 75, 90, 170, 802}), Arguments.of(new int[] {3, 3, 3, 3}, new int[] {3, 3, 3, 3}), Arguments.of(new int[] {9, 4, 6, 8, 14, 3}, new int[] {3, 4, 6, 8, 9, 14}),
+            Arguments.of(new int[] {10, 90, 49, 2, 1, 5, 23}, new int[] {1, 2, 5, 10, 23, 49, 90}), Arguments.of(new int[] {1, 3, 4, 2, 7, 8}, new int[] {1, 2, 3, 4, 7, 8}), Arguments.of(new int[] {}, new int[] {}), Arguments.of(new int[] {1}, new int[] {1}),
+            Arguments.of(new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9}, new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9}), Arguments.of(new int[] {9, 8, 7, 6, 5, 4, 3, 2, 1}, new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9}),
+            Arguments.of(new int[] {1000000000, 999999999, 888888888, 777777777}, new int[] {777777777, 888888888, 999999999, 1000000000}), Arguments.of(new int[] {123, 9, 54321, 123456789, 0}, new int[] {0, 9, 123, 54321, 123456789}));
+    }
+
+    @Test
+    public void testWithNegativeNumbers() {
+        assertThrows(IllegalArgumentException.class, () -> RadixSort.sort(new int[] {3, 1, 4, 1, 5, -9}));
+    }
+}