FEAT(geometry): Add Haversine formula and fix build issues (#6650)

[FEAT] Implemented Haversine Formula

Co-authored-by: Priyanshu1303d <[email protected]>

Author: Priyanshu1303d

pom.xml

@@ -71,8 +71,7 @@
                 <artifactId>maven-compiler-plugin</artifactId>
                 <version>3.14.1</version>
                 <configuration>
-                    <source>21</source>
-                    <target>21</target>
+                    <release>21</release>
                     <compilerArgs>
                         <arg>-Xlint:all</arg>
                         <arg>-Xlint:-auxiliaryclass</arg>

src/main/java/com/thealgorithms/dynamicprogramming/PartitionProblem.java

@@ -1,3 +1,5 @@
+package com.thealgorithms.dynamicprogramming;
+import java.util.Arrays;
 /**
  * @author Md Asif Joardar
  *
@@ -13,11 +15,6 @@
  *
  * The time complexity of the solution is O(n × sum) and requires O(n × sum) space
  */
-
-package com.thealgorithms.dynamicprogramming;
-
-import java.util.Arrays;
-
 public final class PartitionProblem {
     private PartitionProblem() {
     }

src/main/java/com/thealgorithms/geometry/Haversine.java

@@ -0,0 +1,49 @@
+package com.thealgorithms.geometry;
+/**
+ * This Class implements the Haversine formula to calculate the distance between two points on a sphere (like Earth) from their latitudes and longitudes.
+ *
+ * The Haversine formula is used in navigation and mapping to find the great-circle distance,
+ * which is the shortest distance between two points along the surface of a sphere. It is often
+ * used to calculate the "as the crow flies" distance between two geographical locations.
+ *
+ * The formula is reliable for all distances, including small ones, and avoids issues with
+ * numerical instability that can affect other methods.
+ *
+ * @see "https://en.wikipedia.org/wiki/Haversine_formula" - Wikipedia
+ */
+public final class Haversine {
+
+    // Average radius of Earth in kilometers
+    private static final double EARTH_RADIUS_KM = 6371.0;
+
+    /**
+     * Private constructor to prevent instantiation of this utility class.
+     */
+    private Haversine() {
+    }
+
+    /**
+     * Calculates the great-circle distance between two points on the earth
+     * (specified in decimal degrees).
+     *
+     * @param lat1 Latitude of the first point in decimal degrees.
+     * @param lon1 Longitude of the first point in decimal degrees.
+     * @param lat2 Latitude of the second point in decimal degrees.
+     * @param lon2 Longitude of the second point in decimal degrees.
+     * @return The distance between the two points in kilometers.
+     */
+    public static double haversine(double lat1, double lon1, double lat2, double lon2) {
+        // Convert latitude and longitude from degrees to radians
+        double dLat = Math.toRadians(lat2 - lat1);
+        double dLon = Math.toRadians(lon2 - lon1);
+
+        double lat1Rad = Math.toRadians(lat1);
+        double lat2Rad = Math.toRadians(lat2);
+
+        // Apply the Haversine formula
+        double a = Math.pow(Math.sin(dLat / 2), 2) + Math.pow(Math.sin(dLon / 2), 2) * Math.cos(lat1Rad) * Math.cos(lat2Rad);
+        double c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a));
+
+        return EARTH_RADIUS_KM * c;
+    }
+}

src/test/java/com/thealgorithms/geometry/HaversineTest.java

@@ -0,0 +1,60 @@
+package com.thealgorithms.geometry;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+
+import java.util.stream.Stream;
+import org.junit.jupiter.api.DisplayName;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.Arguments;
+import org.junit.jupiter.params.provider.MethodSource;
+
+/**
+ * Unit tests for the Haversine formula implementation.
+ * This class uses parameterized tests to verify the distance calculation
+ * between various geographical coordinates.
+ */
+final class HaversineTest {
+
+    // A small tolerance for comparing double values, since floating-point
+    // arithmetic is not always exact. A 1km tolerance is reasonable for these distances.
+    private static final double DELTA = 1.0;
+
+    /**
+     * Provides test cases for the haversine distance calculation.
+     * Each argument contains: lat1, lon1, lat2, lon2, and the expected distance in kilometers.
+     *
+     * @return a stream of arguments for the parameterized test.
+     */
+    static Stream<Arguments> haversineTestProvider() {
+        return Stream.of(
+            // Case 1: Distance between Paris, France and Tokyo, Japan
+            Arguments.of(48.8566, 2.3522, 35.6895, 139.6917, 9712.0),
+
+            // Case 2: Distance between New York, USA and London, UK
+            Arguments.of(40.7128, -74.0060, 51.5074, -0.1278, 5570.0),
+
+            // Case 3: Zero distance (same point)
+            Arguments.of(52.5200, 13.4050, 52.5200, 13.4050, 0.0),
+
+            // Case 4: Antipodal points (opposite sides of the Earth)
+            // Should be approximately half the Earth's circumference (PI * radius)
+            Arguments.of(0.0, 0.0, 0.0, 180.0, 20015.0));
+    }
+
+    /**
+     * Tests the haversine method with various sets of coordinates.
+     *
+     * @param lat1             Latitude of the first point.
+     * @param lon1             Longitude of the first point.
+     * @param lat2             Latitude of the second point.
+     * @param lon2             Longitude of the second point.
+     * @param expectedDistance The expected distance in kilometers.
+     */
+    @ParameterizedTest
+    @MethodSource("haversineTestProvider")
+    @DisplayName("Test Haversine distance calculation for various coordinates")
+    void testHaversine(double lat1, double lon1, double lat2, double lon2, double expectedDistance) {
+        double actualDistance = Haversine.haversine(lat1, lon1, lat2, lon2);
+        assertEquals(expectedDistance, actualDistance, DELTA);
+    }
+}