diff --git a/src/Numerics/Numerics.csproj b/src/Numerics/Numerics.csproj
index f19b464f..0063697a 100644
--- a/src/Numerics/Numerics.csproj
+++ b/src/Numerics/Numerics.csproj
@@ -167,6 +167,11 @@
     <Compile Include="LinearRegression\WeightedRegression.cs" />
     <Compile Include="LinearRegression\SimpleRegression.cs" />
     <Compile Include="LinearRegression\Util.cs" />
+    <Compile Include="Properties\Resources.Designer.cs">
+      <AutoGen>True</AutoGen>
+      <DesignTime>True</DesignTime>
+      <DependentUpon>Resources.resx</DependentUpon>
+    </Compile>
     <Compile Include="Providers\LinearAlgebra\Acml\AcmlLinearAlgebraProvider.Complex.cs" />
     <Compile Include="Providers\LinearAlgebra\Acml\AcmlLinearAlgebraProvider.Complex32.cs" />
     <Compile Include="Providers\LinearAlgebra\Acml\AcmlLinearAlgebraProvider.Double.cs" />
@@ -428,11 +433,6 @@
     <Compile Include="Interpolation\SplineBoundaryCondition.cs" />
     <Compile Include="Precision.cs" />
     <Compile Include="Properties\AssemblyInfo.cs" />
-    <Compile Include="Properties\Resources.Designer.cs">
-      <AutoGen>True</AutoGen>
-      <DesignTime>True</DesignTime>
-      <DependentUpon>Resources.resx</DependentUpon>
-    </Compile>
     <Compile Include="Random\RandomSource.cs" />
     <Compile Include="Random\Mcg31m1.cs" />
     <Compile Include="Random\Mcg59.cs" />
@@ -472,8 +472,8 @@
   <ItemGroup>
     <EmbeddedResource Include="Properties\Resources.resx">
       <Generator>PublicResXFileCodeGenerator</Generator>
-      <LastGenOutput>Resources.Designer.cs</LastGenOutput>
       <SubType>Designer</SubType>
+      <LastGenOutput>Resources.Designer.cs</LastGenOutput>
     </EmbeddedResource>
   </ItemGroup>
   <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
diff --git a/src/Numerics/Properties/Resources.Designer.cs b/src/Numerics/Properties/Resources.Designer.cs
index b4650370..ca56ef13 100644
--- a/src/Numerics/Properties/Resources.Designer.cs
+++ b/src/Numerics/Properties/Resources.Designer.cs
@@ -314,6 +314,15 @@ namespace MathNet.Numerics.Properties {
             }
         }
         
+        /// <summary>
+        ///   Looks up a localized string similar to In the specified range, the exclusive maximum must be greater than the inclusive minimum..
+        /// </summary>
+        public static string ArgumentMaxExclusiveMustBeLargerThanMinInclusive {
+            get {
+                return ResourceManager.GetString("ArgumentMaxExclusiveMustBeLargerThanMinInclusive", resourceCulture);
+            }
+        }
+        
         /// <summary>
         ///   Looks up a localized string similar to In the specified range, the minimum is greater than maximum..
         /// </summary>
diff --git a/src/Numerics/Properties/Resources.resx b/src/Numerics/Properties/Resources.resx
index e3c53791..13cc7a6e 100644
--- a/src/Numerics/Properties/Resources.resx
+++ b/src/Numerics/Properties/Resources.resx
@@ -1,17 +1,17 @@
 <?xml version="1.0" encoding="utf-8"?>
 <root>
-  <!-- 
-    Microsoft ResX Schema 
-    
+  <!--
+    Microsoft ResX Schema
+
     Version 2.0
-    
-    The primary goals of this format is to allow a simple XML format 
-    that is mostly human readable. The generation and parsing of the 
-    various data types are done through the TypeConverter classes 
+
+    The primary goals of this format is to allow a simple XML format
+    that is mostly human readable. The generation and parsing of the
+    various data types are done through the TypeConverter classes
     associated with the data types.
-    
+
     Example:
-    
+
     ... ado.net/XML headers & schema ...
     <resheader name="resmimetype">text/microsoft-resx</resheader>
     <resheader name="version">2.0</resheader>
@@ -26,36 +26,36 @@
         <value>[base64 mime encoded string representing a byte array form of the .NET Framework object]</value>
         <comment>This is a comment</comment>
     </data>
-                
-    There are any number of "resheader" rows that contain simple 
+
+    There are any number of "resheader" rows that contain simple
     name/value pairs.
-    
-    Each data row contains a name, and value. The row also contains a 
-    type or mimetype. Type corresponds to a .NET class that support 
-    text/value conversion through the TypeConverter architecture. 
-    Classes that don't support this are serialized and stored with the 
+
+    Each data row contains a name, and value. The row also contains a
+    type or mimetype. Type corresponds to a .NET class that support
+    text/value conversion through the TypeConverter architecture.
+    Classes that don't support this are serialized and stored with the
     mimetype set.
-    
-    The mimetype is used for serialized objects, and tells the 
-    ResXResourceReader how to depersist the object. This is currently not 
+
+    The mimetype is used for serialized objects, and tells the
+    ResXResourceReader how to depersist the object. This is currently not
     extensible. For a given mimetype the value must be set accordingly:
-    
-    Note - application/x-microsoft.net.object.binary.base64 is the format 
-    that the ResXResourceWriter will generate, however the reader can 
+
+    Note - application/x-microsoft.net.object.binary.base64 is the format
+    that the ResXResourceWriter will generate, however the reader can
     read any of the formats listed below.
-    
+
     mimetype: application/x-microsoft.net.object.binary.base64
-    value   : The object must be serialized with 
+    value   : The object must be serialized with
             : System.Runtime.Serialization.Formatters.Binary.BinaryFormatter
             : and then encoded with base64 encoding.
-    
+
     mimetype: application/x-microsoft.net.object.soap.base64
-    value   : The object must be serialized with 
+    value   : The object must be serialized with
             : System.Runtime.Serialization.Formatters.Soap.SoapFormatter
             : and then encoded with base64 encoding.
 
     mimetype: application/x-microsoft.net.object.bytearray.base64
-    value   : The object must be serialized into a byte array 
+    value   : The object must be serialized into a byte array
             : using a System.ComponentModel.TypeConverter
             : and then encoded with base64 encoding.
     -->
@@ -282,6 +282,9 @@
   <data name="ArgumentMinValueGreaterThanMaxValue" xml:space="preserve">
     <value>In the specified range, the minimum is greater than maximum.</value>
   </data>
+  <data name="ArgumentMaxExclusiveMustBeLargerThanMinInclusive" xml:space="preserve">
+    <value>In the specified range, the exclusive maximum must be greater than the inclusive minimum.</value>
+  </data>
   <data name="ArgumentUpperBoundMustBeLargerThanOrEqualToLowerBound" xml:space="preserve">
     <value>The upper bound must be at least as large as the lower bound.</value>
   </data>
diff --git a/src/Numerics/Random/RandomSource.cs b/src/Numerics/Random/RandomSource.cs
index 33f66653..c9089f4c 100644
--- a/src/Numerics/Random/RandomSource.cs
+++ b/src/Numerics/Random/RandomSource.cs
@@ -3,7 +3,7 @@
 // http://numerics.mathdotnet.com
 // http://github.com/mathnet/mathnet-numerics
 //
-// Copyright (c) 2009-2015 Math.NET
+// Copyright (c) 2009-2016 Math.NET
 //
 // Permission is hereby granted, free of charge, to any person
 // obtaining a copy of this software and associated documentation
@@ -133,28 +133,39 @@ namespace MathNet.Numerics.Random
                     return DoSampleInteger();
                 }
             }
-
-            return DoSampleInteger();
+            else
+            {
+                return DoSampleInteger();
+            }
         }
 
         /// <summary>
         /// Returns a random number less then a specified maximum.
         /// </summary>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive ≥ 1.</param>
         /// <returns>A 32-bit signed integer less than <paramref name="maxExclusive"/>.</returns>
-        /// <exception cref="T:System.ArgumentOutOfRangeException"><paramref name="maxExclusive"/> is negative. </exception>
+        /// <exception cref="T:System.ArgumentOutOfRangeException"><paramref name="maxExclusive"/> is zero or negative.</exception>
         public sealed override int Next(int maxExclusive)
         {
+            // Invalid case: Zero and less are not valid use cases.
             if (maxExclusive <= 0)
             {
                 throw new ArgumentException(Resources.ArgumentMustBePositive);
             }
 
+            // Fast case: Only zero is allowed to be returned. No sampling is needed.
+            if (maxExclusive == 1)
+            {
+                return 0;
+            }
+
+            // Simple case: standard range
             if (maxExclusive == int.MaxValue)
             {
                 return Next();
             }
 
+            // Sample with 1 < maxExclusive < int.MaxValue
             if (_threadSafe)
             {
                 lock (_lock)
@@ -162,28 +173,39 @@ namespace MathNet.Numerics.Random
                     return DoSampleInteger(maxExclusive);
                 }
             }
-
-            return DoSampleInteger(maxExclusive);
+            else
+            {
+                return DoSampleInteger(maxExclusive);
+            }
         }
 
         /// <summary>
         /// Returns a random number within a specified range.
         /// </summary>
         /// <param name="minInclusive">The inclusive lower bound of the random number returned.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. <paramref name="maxExclusive"/> must be greater than or equal to <paramref name="minInclusive"/>.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive > minExclusive.</param>
         /// <returns>
         /// A 32-bit signed integer greater than or equal to <paramref name="minInclusive"/> and less than <paramref name="maxExclusive"/>; that is, the range of return values includes <paramref name="minInclusive"/> but not <paramref name="maxExclusive"/>. If <paramref name="minInclusive"/> equals <paramref name="maxExclusive"/>, <paramref name="minInclusive"/> is returned.
         /// </returns>
         /// <exception cref="T:System.ArgumentOutOfRangeException"><paramref name="minInclusive"/> is greater than <paramref name="maxExclusive"/>. </exception>
         public sealed override int Next(int minInclusive, int maxExclusive)
         {
-            if (minInclusive > maxExclusive)
+            // Invalid case: empty range.
+            if (minInclusive >= maxExclusive)
             {
-                throw new ArgumentException(Resources.ArgumentMinValueGreaterThanMaxValue);
+                throw new ArgumentException(Resources.ArgumentMaxExclusiveMustBeLargerThanMinInclusive);
+            }
+
+            // Fast case: Only minInclusive is allowed to be returned. No sampling is needed.
+            if (maxExclusive == minInclusive + 1)
+            {
+                return minInclusive;
             }
 
+            // Simple case: simple range
             if (minInclusive == 0)
             {
+                // Simple case: standard range
                 if (maxExclusive == int.MaxValue)
                 {
                     return Next();
@@ -192,6 +214,7 @@ namespace MathNet.Numerics.Random
                 return Next(maxExclusive);
             }
 
+            // Sample with minInclusive + 1 < maxExclusive
             if (_threadSafe)
             {
                 lock (_lock)
@@ -199,8 +222,10 @@ namespace MathNet.Numerics.Random
                     return DoSampleInteger(minInclusive, maxExclusive);
                 }
             }
-
-            return DoSampleInteger(minInclusive, maxExclusive);
+            else
+            {
+                return DoSampleInteger(minInclusive, maxExclusive);
+            }
         }
 
         /// <summary>
@@ -243,15 +268,30 @@ namespace MathNet.Numerics.Random
         /// Fills an array with random numbers within a specified range.
         /// </summary>
         /// <param name="values">The array to fill with random values.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive ≥ 1.</param>
         public void NextInt32s(int[] values, int maxExclusive)
         {
+            // Invalid case: Zero and less are not valid use cases.
+            if (maxExclusive <= 0)
+            {
+                throw new ArgumentException(Resources.ArgumentMustBePositive);
+            }
+
+            // Fast case: Only zero is allowed to be returned. No sampling is needed.
+            if (maxExclusive == 1)
+            {
+                Array.Clear(values, 0, values.Length);
+                return;
+            }
+
+            // Simple case: standard range
             if (maxExclusive == int.MaxValue)
             {
                 NextInt32s(values);
                 return;
             }
 
+            // Sample with 1 < maxExclusive < int.MaxValue
             if (_threadSafe)
             {
                 lock (_lock)
@@ -271,27 +311,46 @@ namespace MathNet.Numerics.Random
             }
         }
 
+        /// <summary>
+        /// Returns an array with random 32-bit signed integers within the specified range.
+        /// </summary>
+        /// <param name="count">The size of the array to fill.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive ≥ 1.</param>
+        public int[] NextInt32s(int count, int maxExclusive)
+        {
+            var values = new int[count];
+            NextInt32s(values, maxExclusive);
+            return values;
+        }
+
         /// <summary>
         /// Fills an array with random numbers within a specified range.
         /// </summary>
         /// <param name="values">The array to fill with random values.</param>
         /// <param name="minInclusive">The inclusive lower bound of the random number returned.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. <paramref name="maxExclusive"/> must be greater than or equal to <paramref name="minInclusive"/>.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive > minExclusive.</param>
         public void NextInt32s(int[] values, int minInclusive, int maxExclusive)
         {
-            if (minInclusive > maxExclusive)
+            // Invalid case: empty range.
+            if (minInclusive >= maxExclusive)
             {
-                throw new ArgumentException(Resources.ArgumentMinValueGreaterThanMaxValue);
+                throw new ArgumentException(Resources.ArgumentMaxExclusiveMustBeLargerThanMinInclusive);
             }
 
-            if (maxExclusive == int.MaxValue && minInclusive == 0)
+            // Fast case: Only minInclusive is allowed to be returned. No sampling is needed.
+            if (maxExclusive == minInclusive + 1)
             {
-                NextInt32s(values);
+                for (var i = 0; i < values.Length; i++)
+                {
+                    values[i] = minInclusive;
+                }
                 return;
             }
 
+            // Simple case: simple range
             if (minInclusive == 0)
             {
+                // Simple case: standard range
                 if (maxExclusive == int.MaxValue)
                 {
                     NextInt32s(values);
@@ -302,6 +361,7 @@ namespace MathNet.Numerics.Random
                 return;
             }
 
+            // Sample with minInclusive + 1 < maxExclusive
             if (_threadSafe)
             {
                 lock (_lock)
@@ -326,7 +386,7 @@ namespace MathNet.Numerics.Random
         /// </summary>
         /// <param name="count">The size of the array to fill.</param>
         /// <param name="minInclusive">The inclusive lower bound of the random number returned.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. <paramref name="maxExclusive"/> must be greater than or equal to <paramref name="minInclusive"/>.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive > minExclusive.</param>
         public int[] NextInt32s(int count, int minInclusive, int maxExclusive)
         {
             var values = new int[count];
@@ -359,7 +419,7 @@ namespace MathNet.Numerics.Random
         /// Returns an infinite sequence of random numbers within a specified range.
         /// </summary>
         /// <param name="minInclusive">The inclusive lower bound of the random number returned.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. <paramref name="maxExclusive"/> must be greater than or equal to <paramref name="minInclusive"/>.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive > minExclusive.</param>
         public IEnumerable<int> NextInt32Sequence(int minInclusive, int maxExclusive)
         {
             if (minInclusive > maxExclusive)
@@ -461,6 +521,7 @@ namespace MathNet.Numerics.Random
             {
                 return 0;
             }
+
             var bytes = new byte[4];
             DoSampleBytes(bytes);
 
@@ -484,6 +545,7 @@ namespace MathNet.Numerics.Random
             {
                 return 0;
             }
+
             var bytes = new byte[8];
             DoSampleBytes(bytes);
 
@@ -498,7 +560,7 @@ namespace MathNet.Numerics.Random
         /// <summary>
         /// Returns a random 32-bit signed integer within the specified range.
         /// </summary>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive ≥ 1.</param>
         protected virtual int DoSampleInteger(int maxExclusive)
         {
 			// Fast case: Only a single number is allowed to be returned
@@ -507,7 +569,7 @@ namespace MathNet.Numerics.Random
             {
                 return 0;
             }
-			
+
             // non-biased implementation
             // (biased: return (int)(DoSample() * maxExclusive);)
 
@@ -535,7 +597,7 @@ namespace MathNet.Numerics.Random
         /// Returns a random 32-bit signed integer within the specified range.
         /// </summary>
         /// <param name="minInclusive">The inclusive lower bound of the random number returned.</param>
-        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. <paramref name="maxExclusive"/> must be greater than or equal to <paramref name="minInclusive"/>.</param>
+        /// <param name="maxExclusive">The exclusive upper bound of the random number returned. Range: maxExclusive > minExclusive.</param>
         protected virtual int DoSampleInteger(int minInclusive, int maxExclusive)
         {
             return DoSampleInteger(maxExclusive - minInclusive) + minInclusive;