Euclidean, Manhattan, and Cosine Distance tests

src/UnitTests/DistanceTests.cs

@@ -6,6 +6,44 @@ namespace MathNet.Numerics.UnitTests
     [TestFixture]
     public class DistanceTests
     {
+        #region Test Data
+        double[] _dp0 = new double[] { 1, 0.5 };
+        double[] _dq0 = new double[] { 0.5, 1 };
+
+        double[] _dp1 = new double[] { 4.5, 1 };
+        double[] _dq1 = new double[] { 4, 2 };
+
+        double[] _dp2 = new double[] { 0, 0, 0 };
+        double[] _dq2 = new double[] { 0, 0, 0 };
+
+        double[] _dp3 = new double[] { 1, 1, 1 };
+        double[] _dq3 = new double[] { 1, 1, 1 };
+
+        double[] _dp4 = new double[] { 2.5, 3.5, 3.0, 3.5, 2.5, 3.0 };
+        double[] _dq4 = new double[] { 3.0, 3.5, 1.5, 5.0, 3.5, 3.0 };
+
+        double[] _dp5 = new double[] { 1, 3, 5, 6, 8, 9, 6, 4, 3, 2 };
+        double[] _dq5 = new double[] { 2, 5, 6, 6, 7, 7, 5, 3, 1, 1 };
+
+        float[] _fp0 = new float[] { 1, 0.5f };
+        float[] _fq0 = new float[] { 0.5f, 1 };
+
+        float[] _fp1 = new float[] { 4.5f, 1 };
+        float[] _fq1 = new float[] { 4, 2 };
+
+        float[] _fp2 = new float[] { 0, 0, 0 };
+        float[] _fq2 = new float[] { 0, 0, 0 };
+
+        float[] _fp3 = new float[] { 1, 1, 1 };
+        float[] _fq3 = new float[] { 1, 1, 1 };
+
+        float[] _fp4 = new float[] { 2.5f, 3.5f, 3.0f, 3.5f, 2.5f, 3.0f };
+        float[] _fq4 = new float[] { 3.0f, 3.5f, 1.5f, 5.0f, 3.5f, 3.0f };
+
+        float[] _fp5 = new float[] { 1, 3, 5, 6, 8, 9, 6, 4, 3, 2 };
+        float[] _fq5 = new float[] { 2, 5, 6, 6, 7, 7, 5, 3, 1, 1 };
+        #endregion
+
         [Test]
         public void Hamming()
         {
@@ -18,69 +56,95 @@ namespace MathNet.Numerics.UnitTests
         }
 
         [Test]
-        public void Jaccard_Double()
+        public void Jaccard()
         {
-            double[] p0 = new double[] { 1, 0.5 };
-            double[] q0 = new double[] { 0.5, 1 };
-
-            double[] p1 = new double[] { 4.5, 1 };
-            double[] q1 = new double[] { 4, 2 };
-
-            double[] p2 = new double[] { 0, 0, 0 };
-            double[] q2 = new double[] { 0, 0, 0 };
-
-            double[] p3 = new double[] { 1, 1, 1 };
-            double[] q3 = new double[] { 1, 1, 1 };
-
-            double[] p4 = new double[] { 2.5, 3.5, 3.0, 3.5, 2.5, 3.0 };
-            double[] q4 = new double[] { 3.0, 3.5, 1.5, 5.0, 3.5, 3.0 };
-
-            double[] p5 = new double[] { 1, 3, 5, 6, 8, 9, 6, 4, 3, 2 };
-            double[] q5 = new double[] { 2, 5, 6, 6, 7, 7, 5, 3, 1, 1 };
-
-            Assert.Throws<ArgumentException>(() => Distance.Jaccard(p0, q4));
-            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(null, q4));
-            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(p0, null));
-
-            Assert.That(Distance.Jaccard(p0, q0), Is.EqualTo(1));
-            Assert.That(Distance.Jaccard(p1, q1), Is.EqualTo(1));
-            Assert.That(Distance.Jaccard(p2, q2), Is.EqualTo(Double.NaN));
-            Assert.That(Distance.Jaccard(p3, q3), Is.EqualTo(0));
-            Assert.That(Distance.Jaccard(p4, q4), Is.EqualTo(0.66666).Within(0.00001));
-            Assert.That(Distance.Jaccard(p5, q5), Is.EqualTo(0.9).Within(0.1));
+            Assert.Throws<ArgumentException>(() => Distance.Jaccard(_dp0, _dq4));
+            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(null, _dq4));
+            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(_dp0, null));
+
+            Assert.That(Distance.Jaccard(_dp0, _dq0), Is.EqualTo(1));
+            Assert.That(Distance.Jaccard(_dp1, _dq1), Is.EqualTo(1));
+            Assert.That(Distance.Jaccard(_dp2, _dq2), Is.EqualTo(Double.NaN));
+            Assert.That(Distance.Jaccard(_dp3, _dq3), Is.EqualTo(0));
+            Assert.That(Distance.Jaccard(_dp4, _dq4), Is.EqualTo(0.66666).Within(0.00001));
+            Assert.That(Distance.Jaccard(_dp5, _dq5), Is.EqualTo(0.9).Within(0.1));
+
+            Assert.Throws<ArgumentException>(() => Distance.Jaccard(_fp0, _fq4));
+            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(null, _fq4));
+            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(_fp0, null));
+
+            Assert.That(Distance.Jaccard(_fp0, _fq0), Is.EqualTo(1));
+            Assert.That(Distance.Jaccard(_fp1, _fq1), Is.EqualTo(1));
+            Assert.That(Distance.Jaccard(_fp2, _fq2), Is.EqualTo(float.NaN));
+            Assert.That(Distance.Jaccard(_fp3, _fq3), Is.EqualTo(0));
+            Assert.That(Distance.Jaccard(_fp4, _fq4), Is.EqualTo(0.66666).Within(0.00001));
+            Assert.That(Distance.Jaccard(_fp5, _fq5), Is.EqualTo(0.9).Within(0.1));
         }
 
         [Test]
-        public void Jaccard_Float()
+        public void Euclidean()
         {
-            float[] p0 = new float[] { 1, 0.5f };
-            float[] q0 = new float[] { 0.5f, 1 };
-
-            float[] p1 = new float[] { 4.5f, 1 };
-            float[] q1 = new float[] { 4, 2 };
-
-            float[] p2 = new float[] { 0, 0, 0 };
-            float[] q2 = new float[] { 0, 0, 0 };
-
-            float[] p3 = new float[] { 1, 1, 1 };
-            float[] q3 = new float[] { 1, 1, 1 };
-
-            float[] p4 = new float[] { 2.5f, 3.5f, 3.0f, 3.5f, 2.5f, 3.0f };
-            float[] q4 = new float[] { 3.0f, 3.5f, 1.5f, 5.0f, 3.5f, 3.0f };
-
-            float[] p5 = new float[] { 1, 3, 5, 6, 8, 9, 6, 4, 3, 2 };
-            float[] q5 = new float[] { 2, 5, 6, 6, 7, 7, 5, 3, 1, 1 };
+            Assert.Throws<ArgumentException>(() => Distance.Euclidean(_dp0, _dq4));
+
+            Assert.That(Distance.Euclidean(_dp0, _dq0), Is.EqualTo(.70711).Within(0.00001));
+            Assert.That(Distance.Euclidean(_dp1, _dq1), Is.EqualTo(1.11803).Within(0.00001));
+            Assert.That(Distance.Euclidean(_dp2, _dq2), Is.EqualTo(0));
+            Assert.That(Distance.Euclidean(_dp3, _dq3), Is.EqualTo(0));
+            Assert.That(Distance.Euclidean(_dp4, _dq4), Is.EqualTo(2.39792).Within(0.00001));
+            Assert.That(Distance.Euclidean(_dp5, _dq5), Is.EqualTo(4.24264).Within(0.00001));
+
+            Assert.Throws<ArgumentException>(() => Distance.Euclidean(_fp0, _fq4));
+
+            Assert.That(Distance.Euclidean(_fp0, _fq0), Is.EqualTo(.70711).Within(0.00001));
+            Assert.That(Distance.Euclidean(_fp1, _fq1), Is.EqualTo(1.11803).Within(0.00001));
+            Assert.That(Distance.Euclidean(_fp2, _fq2), Is.EqualTo(0));
+            Assert.That(Distance.Euclidean(_fp3, _fq3), Is.EqualTo(0));
+            Assert.That(Distance.Euclidean(_fp4, _fq4), Is.EqualTo(2.39792).Within(0.00001));
+            Assert.That(Distance.Euclidean(_fp5, _fq5), Is.EqualTo(4.24264).Within(0.00001));
+        }
 
-            Assert.Throws<ArgumentException>(() => Distance.Jaccard(p0, q4));
-            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(null, q4));
-            Assert.Throws<ArgumentNullException>(() => Distance.Jaccard(p0, null));
+        [Test]
+        public void Manhattan()
+        {
+            Assert.Throws<ArgumentException>(() => Distance.Manhattan(_dp0, _dq4));
+
+            Assert.That(Distance.Manhattan(_dp0, _dq0), Is.EqualTo(1));
+            Assert.That(Distance.Manhattan(_dp1, _dq1), Is.EqualTo(1.5));
+            Assert.That(Distance.Manhattan(_dp2, _dq2), Is.EqualTo(0));
+            Assert.That(Distance.Manhattan(_dp3, _dq3), Is.EqualTo(0));
+            Assert.That(Distance.Manhattan(_dp4, _dq4), Is.EqualTo(4.5));
+            Assert.That(Distance.Manhattan(_dp5, _dq5), Is.EqualTo(12));
+
+            Assert.Throws<ArgumentException>(() => Distance.Manhattan(_fp0, _fq4));
+
+            Assert.That(Distance.Manhattan(_fp0, _fq0), Is.EqualTo(1));
+            Assert.That(Distance.Manhattan(_fp1, _fq1), Is.EqualTo(1.5));
+            Assert.That(Distance.Manhattan(_fp2, _fq2), Is.EqualTo(0));
+            Assert.That(Distance.Manhattan(_fp3, _fq3), Is.EqualTo(0));
+            Assert.That(Distance.Manhattan(_fp4, _fq4), Is.EqualTo(4.5));
+            Assert.That(Distance.Manhattan(_fp5, _fq5), Is.EqualTo(12));
+        }
 
-            Assert.That(Distance.Jaccard(p0, q0), Is.EqualTo(1));
-            Assert.That(Distance.Jaccard(p1, q1), Is.EqualTo(1));
-            Assert.That(Distance.Jaccard(p2, q2), Is.EqualTo(float.NaN));
-            Assert.That(Distance.Jaccard(p3, q3), Is.EqualTo(0));
-            Assert.That(Distance.Jaccard(p4, q4), Is.EqualTo(0.66666).Within(0.00001));
-            Assert.That(Distance.Jaccard(p5, q5), Is.EqualTo(0.9).Within(0.1));
+        [Test]
+        public void Cosine()
+        {
+            Assert.Throws<ArgumentException>(() => Distance.Cosine(_dp0, _dq4));
+
+            Assert.That(Distance.Cosine(_dp0, _dq0), Is.EqualTo(0.2).Within(0.00001));
+            Assert.That(Distance.Cosine(_dp1, _dq1), Is.EqualTo(0.029857).Within(0.00001));
+            Assert.That(Distance.Cosine(_dp2, _dq2), Is.EqualTo(Double.NaN));
+            Assert.That(Distance.Cosine(_dp3, _dq3), Is.EqualTo(0).Within(0.00001));
+            Assert.That(Distance.Cosine(_dp4, _dq4), Is.EqualTo(0.039354).Within(0.00001));
+            Assert.That(Distance.Cosine(_dp5, _dq5), Is.EqualTo(0.031026).Within(0.00001));
+
+            Assert.Throws<ArgumentException>(() => Distance.Cosine(_fp0, _fq4));
+
+            Assert.That(Distance.Cosine(_fp0, _fq0), Is.EqualTo(0.2).Within(0.00001));
+            Assert.That(Distance.Cosine(_fp1, _fq1), Is.EqualTo(0.029857).Within(0.00001));
+            Assert.That(Distance.Cosine(_fp2, _fq2), Is.EqualTo(float.NaN));
+            Assert.That(Distance.Cosine(_fp3, _fq3), Is.EqualTo(0).Within(0.00001));
+            Assert.That(Distance.Cosine(_fp4, _fq4), Is.EqualTo(0.039354).Within(0.00001));
+            Assert.That(Distance.Cosine(_fp5, _fq5), Is.EqualTo(0.031026).Within(0.00001));
         }
     }
 }