From ab1f6083458c50d969bd35367d13524b3297212f Mon Sep 17 00:00:00 2001
From: diluculo <diluculo@gmail.com>
Date: Mon, 16 Sep 2019 11:44:00 +0900
Subject: [PATCH] Fix typos

---
 .../IntegrationTests/IntegrationTest.cs       | 27 ++++++++++++++-----
 src/Numerics/Integrate.cs                     |  2 +-
 2 files changed, 22 insertions(+), 7 deletions(-)

diff --git a/src/Numerics.Tests/IntegrationTests/IntegrationTest.cs b/src/Numerics.Tests/IntegrationTests/IntegrationTest.cs
index c8422144..dd988098 100644
--- a/src/Numerics.Tests/IntegrationTests/IntegrationTest.cs
+++ b/src/Numerics.Tests/IntegrationTests/IntegrationTest.cs
@@ -62,7 +62,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
         }
 
         /// <summary>
-        /// Test Function: f(x,y) = 1 / (1 + x^2)
+        /// Test Function: f(x) = 1 / (1 + x^2)
         /// </summary>
         /// <param name="x">First input value.</param>
         /// <returns>Function result.</returns>
@@ -72,7 +72,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
         }
 
         /// <summary>
-        /// Test Function: f(x,y) = log(x)
+        /// Test Function: f(x) = log(x)
         /// </summary>
         /// <param name="x">First input value.</param>
         /// <returns>Function result.</returns>
@@ -120,7 +120,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
         /// Test Function Stop point.
         /// </summary>
         private const double StopD = 1;
-        
+
         /// <summary>
         /// Target area square.
         /// </summary>
@@ -140,7 +140,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
         /// Target area.
         /// </summary>
         private const double TargetAreaD = -1;
-        
+
         /// <summary>
         /// Test Integrate facade for simple use cases.
         /// </summary>
@@ -183,6 +183,21 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
                 1e-10,
                 "DoubleExponential, Target 1e-10");
 
+            // integrate_(0)^(1) log(x) dx = -1
+            // Note that DoubleExponential returns -oo.
+
+            Assert.AreEqual(
+                TargetAreaD,
+                Integrate.OnClosedInterval(TargetFunctionD, StartD, StopD),
+                1e-10,
+                "Interval");
+
+            Assert.AreEqual(
+                TargetAreaD,
+                Integrate.GaussLegendre(TargetFunctionD, StartD, StopD, order: 1024),
+                1e-10,
+                "GaussLegendre, order 128");
+
             Assert.AreEqual(
                 TargetAreaD,
                 Integrate.GaussKronrod(TargetFunctionD, StartD, StopD, 1e-10, order: 15),
@@ -440,7 +455,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
 
             Assert.AreEqual(
                 expected,
-                Integrate.GausLegendre((x) => Math.Exp(-x * x / 2), a, b, order: 128),
+                Integrate.GaussLegendre((x) => Math.Exp(-x * x / 2), a, b, order: 128),
                 1e-10,
                 "GL Integral of e^(-x^2 /2) from {0} to {1}", a, b);
         }
@@ -469,7 +484,7 @@ namespace MathNet.Numerics.UnitTests.IntegrationTests
 
             Assert.AreEqual(
                 expected,
-                factor * Integrate.GausLegendre((x) => 1 / (1 + x * x), a, b, order: 128),
+                factor * Integrate.GaussLegendre((x) => 1 / (1 + x * x), a, b, order: 128),
                 1e-10,
                 "GL Integral of sin(pi*x)/(pi*x) from -oo to oo");
         }
diff --git a/src/Numerics/Integrate.cs b/src/Numerics/Integrate.cs
index 6057ed6a..9c7e0370 100644
--- a/src/Numerics/Integrate.cs
+++ b/src/Numerics/Integrate.cs
@@ -164,7 +164,7 @@ namespace MathNet.Numerics
         /// <param name="intervalEnd">Where the interval stops.</param>
         /// <param name="order">Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly.</param>
         /// <returns>Approximation of the finite integral in the given interval.</returns>
-        public static double GausLegendre(Func<double, double> f, double intervalBegin, double intervalEnd, int order = 128)
+        public static double GaussLegendre(Func<double, double> f, double intervalBegin, double intervalEnd, int order = 128)
         {
             // Reference:
             // Formula used for variable subsitution from