refactor: Enhance docs, add more tests in AffineConverter

DIRECTORY.md

@@ -320,6 +320,7 @@
             * [BresenhamLine](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/geometry/BresenhamLine.java)
             * [ConvexHull](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/geometry/ConvexHull.java)
             * [GrahamScan](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/geometry/GrahamScan.java)
+            * [MidpointEllipse](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/geometry/MidpointEllipse.java)
             * [Point](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/geometry/Point.java)
           * graph
             * [StronglyConnectedComponentOptimized](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/graph/StronglyConnectedComponentOptimized.java)
@@ -360,6 +361,7 @@
             * [Average](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Average.java)
             * [BinaryPow](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/BinaryPow.java)
             * [BinomialCoefficient](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/BinomialCoefficient.java)
+            * [CatalanNumbers](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/CatalanNumbers.java)
             * [Ceil](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/Ceil.java)
             * [ChineseRemainderTheorem](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/ChineseRemainderTheorem.java)
             * [CircularConvolutionFFT](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/CircularConvolutionFFT.java)
@@ -967,6 +969,7 @@
             * [BresenhamLineTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/geometry/BresenhamLineTest.java)
             * [ConvexHullTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/geometry/ConvexHullTest.java)
             * [GrahamScanTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/geometry/GrahamScanTest.java)
+            * [MidpointEllipseTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/geometry/MidpointEllipseTest.java)
           * graph
             * [StronglyConnectedComponentOptimizedTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/graph/StronglyConnectedComponentOptimizedTest.java)
           * greedyalgorithms
@@ -1003,6 +1006,7 @@
             * [AverageTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/AverageTest.java)
             * [BinaryPowTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinaryPowTest.java)
             * [BinomialCoefficientTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/BinomialCoefficientTest.java)
+            * [CatalanNumbersTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CatalanNumbersTest.java)
             * [CeilTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CeilTest.java)
             * [ChineseRemainderTheoremTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ChineseRemainderTheoremTest.java)
             * [CollatzConjectureTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CollatzConjectureTest.java)

src/main/java/com/thealgorithms/conversions/AffineConverter.java

@@ -1,23 +1,64 @@
 package com.thealgorithms.conversions;
 
+/**
+ * A utility class to perform affine transformations of the form:
+ * y = slope * x + intercept.
+ *
+ * This class supports inversion and composition of affine transformations.
+ * It is immutable, meaning each instance represents a fixed transformation.
+ */
 public final class AffineConverter {
     private final double slope;
     private final double intercept;
+
+    /**
+     * Constructs an AffineConverter with the given slope and intercept.
+     *
+     * @param inSlope The slope of the affine transformation.
+     * @param inIntercept The intercept (constant term) of the affine transformation.
+     * @throws IllegalArgumentException if either parameter is NaN.
+     */
     public AffineConverter(final double inSlope, final double inIntercept) {
+        if (Double.isNaN(inSlope) || Double.isNaN(inIntercept)) {
+            throw new IllegalArgumentException("Slope and intercept must be valid numbers.");
+        }
         slope = inSlope;
         intercept = inIntercept;
     }
 
+    /**
+     * Converts the given input value using the affine transformation:
+     * result = slope * inValue + intercept.
+     *
+     * @param inValue The input value to convert.
+     * @return The transformed value.
+     */
     public double convert(final double inValue) {
         return slope * inValue + intercept;
     }
 
+    /**
+     * Returns a new AffineConverter representing the inverse of the current transformation.
+     * The inverse of y = slope * x + intercept is x = (y - intercept) / slope.
+     *
+     * @return A new AffineConverter representing the inverse transformation.
+     * @throws AssertionError if the slope is zero, as the inverse would be undefined.
+     */
     public AffineConverter invert() {
-        assert slope != 0.0;
+        assert slope != 0.0 : "Slope cannot be zero for inversion.";
         return new AffineConverter(1.0 / slope, -intercept / slope);
     }
 
+    /**
+     * Composes this affine transformation with another, returning a new AffineConverter.
+     * If this transformation is f(x) and the other is g(x), the result is f(g(x)).
+     *
+     * @param other Another AffineConverter to compose with.
+     * @return A new AffineConverter representing the composition of the two transformations.
+     */
     public AffineConverter compose(final AffineConverter other) {
-        return new AffineConverter(slope * other.slope, slope * other.intercept + intercept);
+        double newSlope = slope * other.slope;
+        double newIntercept = slope * other.intercept + intercept;
+        return new AffineConverter(newSlope, newIntercept);
     }
 }

src/test/java/com/thealgorithms/conversions/AffineConverterTest.java

@@ -16,31 +16,39 @@ void setUp() {
     }
 
     @Test
-    void testConstructor() {
+    void testConstructorWithValidValues() {
         assertEquals(3.0, converter.convert(0.0), "Expected value when input is 0.0");
         assertEquals(5.0, converter.convert(1.0), "Expected value when input is 1.0");
-        assertEquals(7.0, converter.convert(2.0), "Expected value when input is 2.0");
     }
 
     @Test
-    void testConvert() {
-        assertEquals(3.0, converter.convert(0.0), "Conversion at 0.0 should equal the intercept");
-        assertEquals(7.0, converter.convert(2.0), "2.0 should convert to 7.0");
-        assertEquals(11.0, converter.convert(4.0), "4.0 should convert to 11.0");
+    void testConstructorWithInvalidValues() {
+        assertThrows(IllegalArgumentException.class, () -> new AffineConverter(Double.NaN, 3.0), "Constructor should throw IllegalArgumentException for NaN slope");
+    }
+
+    @Test
+    void testConvertWithNegativeValues() {
+        assertEquals(-1.0, converter.convert(-2.0), "Negative input should convert correctly");
+        assertEquals(-3.0, new AffineConverter(-1.0, -1.0).convert(2.0), "Slope and intercept can be negative");
+    }
+
+    @Test
+    void testConvertWithFloatingPointPrecision() {
+        double result = new AffineConverter(1.3333, 0.6667).convert(3.0);
+        assertEquals(4.6666, result, 1e-4, "Conversion should maintain floating-point precision");
     }
 
     @Test
     void testInvert() {
         AffineConverter inverted = converter.invert();
-        assertEquals(0.0, inverted.convert(3.0), "Inverted converter should return 0.0 for input 3.0");
-        assertEquals(1.0, inverted.convert(5.0), "Inverted converter should return 1.0 for input 5.0");
-        assertEquals(2.0, inverted.convert(7.0), "Inverted converter should return 2.0 for input 7.0");
+        assertEquals(0.0, inverted.convert(3.0), "Inverted should return 0.0 for input 3.0");
+        assertEquals(1.0, inverted.convert(5.0), "Inverted should return 1.0 for input 5.0");
     }
 
     @Test
     void testInvertWithZeroSlope() {
         AffineConverter zeroSlopeConverter = new AffineConverter(0.0, 3.0);
-        assertThrows(AssertionError.class, zeroSlopeConverter::invert, "Invert should throw assertion error when slope is zero");
+        assertThrows(AssertionError.class, zeroSlopeConverter::invert, "Invert should throw AssertionError when slope is zero");
     }
 
     @Test
@@ -50,6 +58,30 @@ void testCompose() {
 
         assertEquals(7.0, composed.convert(0.0), "Expected composed conversion at 0.0");
         assertEquals(9.0, composed.convert(1.0), "Expected composed conversion at 1.0");
-        assertEquals(11.0, composed.convert(2.0), "Expected composed conversion at 2.0");
+    }
+
+    @Test
+    void testMultipleCompositions() {
+        AffineConverter c1 = new AffineConverter(2.0, 1.0);
+        AffineConverter c2 = new AffineConverter(3.0, -2.0);
+        AffineConverter c3 = c1.compose(c2); // (2x + 1) ∘ (3x - 2) => 6x - 1
+
+        assertEquals(-3.0, c3.convert(0.0), "Composed transformation should return -3.0 at 0.0");
+        assertEquals(3.0, c3.convert(1.0), "Composed transformation should return 3.0 at 1.0");
+    }
+
+    @Test
+    void testIdentityComposition() {
+        AffineConverter identity = new AffineConverter(1.0, 0.0);
+        AffineConverter composed = converter.compose(identity);
+
+        assertEquals(3.0, composed.convert(0.0), "Identity composition should not change the transformation");
+        assertEquals(7.0, composed.convert(2.0), "Identity composition should behave like the original");
+    }
+
+    @Test
+    void testLargeInputs() {
+        double largeValue = 1e6;
+        assertEquals(2.0 * largeValue + 3.0, converter.convert(largeValue), "Should handle large input values without overflow");
     }
 }