test: PointTest.java #HSFDPMUW (#6391)

* test: added Tests for Point.java

* style: fixed formatting and comments

* style: formatted with clang-format and renamed variables

* style: fixed imports to not use the '.*' form

---------

Co-authored-by: Aaron <aaron@hochschule.de>
Co-authored-by: Deniz Altunkapan <93663085+DenizAltunkapan@users.noreply.github.com>

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

@@ -0,0 +1,117 @@
+package com.thealgorithms.geometry;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNotNull;
+import static org.junit.jupiter.api.Assertions.assertTrue;
+
+import org.junit.jupiter.api.Test;
+
+public class PointTest {
+
+    @Test
+    void testCompareTo() {
+        Point p1 = new Point(1, 2);
+        Point p2 = new Point(5, -1);
+        Point p3 = new Point(3, 9);
+        Point p4 = new Point(3, 9);
+        assertEquals(1, p1.compareTo(p2));
+        assertEquals(-1, p2.compareTo(p3));
+        assertEquals(0, p3.compareTo(p4));
+    }
+
+    @Test
+    void testToString() {
+        Point p = new Point(-3, 5);
+        assertEquals("(-3, 5)", p.toString());
+    }
+
+    @Test
+    void testPolarOrder() {
+        Point p = new Point(0, 0);
+        assertNotNull(p.polarOrder());
+    }
+
+    @Test
+    void testOrientation() {
+        // setup points
+        Point pA = new Point(0, 0);
+        Point pB = new Point(1, 0);
+        Point pC = new Point(1, 1);
+
+        // test for left curve
+        assertEquals(1, Point.orientation(pA, pB, pC));
+
+        // test for right curve
+        pB = new Point(0, 1);
+        assertEquals(-1, Point.orientation(pA, pB, pC));
+
+        // test for left curve
+        pC = new Point(-1, 1);
+        assertEquals(1, Point.orientation(pA, pB, pC));
+
+        // test for right curve
+        pB = new Point(1, 0);
+        pC = new Point(1, -1);
+        assertEquals(-1, Point.orientation(pA, pB, pC));
+
+        // test for collinearity
+        pB = new Point(1, 1);
+        pC = new Point(2, 2);
+        assertEquals(0, Point.orientation(pA, pB, pC));
+    }
+
+    @Test
+    void testPolarOrderCompare() {
+        Point ref = new Point(0, 0);
+
+        Point pA = new Point(1, 1);
+        Point pB = new Point(1, -1);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(3, 0);
+        pB = new Point(2, 0);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(0, 1);
+        pB = new Point(-1, 1);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(1, 1);
+        pB = new Point(2, 2);
+        assertEquals(0, ref.polarOrder().compare(pA, pB));
+
+        pA = new Point(1, 2);
+        pB = new Point(2, 1);
+        assertTrue(ref.polarOrder().compare(pA, pB) > 0);
+
+        pA = new Point(2, 1);
+        pB = new Point(1, 2);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(-1, 0);
+        pB = new Point(-2, 0);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(2, 3);
+        pB = new Point(2, 3);
+        assertEquals(0, ref.polarOrder().compare(pA, pB));
+
+        pA = new Point(0, 1);
+        pB = new Point(0, -1);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        ref = new Point(1, 1);
+
+        pA = new Point(1, 2);
+        pB = new Point(2, 2);
+        assertTrue(ref.polarOrder().compare(pA, pB) > 0);
+
+        pA = new Point(2, 1);
+        pB = new Point(2, 0);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+
+        pA = new Point(0, 1);
+        pB = new Point(1, 0);
+        assertTrue(ref.polarOrder().compare(pA, pB) < 0);
+    }
+}