From 3ae18748f6cf817550d972b8a311e578314dfe62 Mon Sep 17 00:00:00 2001
From: Christoph Ruegg <git@cdrnet.ch>
Date: Sun, 16 Aug 2009 05:17:00 +0800
Subject: [PATCH] constants: new Pi2 = 2 * pi

Signed-off-by: Christoph Ruegg <git@cdrnet.ch>
---
 src/Numerics/Constants.cs                                      | 3 +++
 .../Algorithms/DiscreteFourierTransform.Naive.cs               | 2 +-
 .../Algorithms/DiscreteHartleyTransform.Naive.cs               | 2 +-
 3 files changed, 5 insertions(+), 2 deletions(-)

diff --git a/src/Numerics/Constants.cs b/src/Numerics/Constants.cs
index 11c78f82..a44998d6 100644
--- a/src/Numerics/Constants.cs
+++ b/src/Numerics/Constants.cs
@@ -74,6 +74,9 @@ namespace MathNet.Numerics
         /// <summary>The number pi</summary>
         public const double Pi = 3.1415926535897932384626433832795028841971693993751d;
 
+        /// <summary>The number 2*pi</summary>
+        public const double Pi2 = 6.2831853071795864769252867665590057683943387987502d;
+
         /// <summary>The number 1/pi</summary>
         public const double OneOverPi = 0.31830988618379067153776752674502872406891929148091d;
 
diff --git a/src/Numerics/IntegralTransforms/Algorithms/DiscreteFourierTransform.Naive.cs b/src/Numerics/IntegralTransforms/Algorithms/DiscreteFourierTransform.Naive.cs
index 9a1bfec8..e1f40521 100644
--- a/src/Numerics/IntegralTransforms/Algorithms/DiscreteFourierTransform.Naive.cs
+++ b/src/Numerics/IntegralTransforms/Algorithms/DiscreteFourierTransform.Naive.cs
@@ -44,7 +44,7 @@ namespace MathNet.Numerics.IntegralTransforms.Algorithms
         /// <returns>Corresponding frequency-space vector.</returns>
         internal static Complex[] Naive(Complex[] samples, int exponentSign)
         {
-            double w0 = exponentSign * 2 * Constants.Pi / samples.Length;
+            double w0 = exponentSign * Constants.Pi2 / samples.Length;
             var spectrum = new Complex[samples.Length];
 
             Parallel.For(
diff --git a/src/Numerics/IntegralTransforms/Algorithms/DiscreteHartleyTransform.Naive.cs b/src/Numerics/IntegralTransforms/Algorithms/DiscreteHartleyTransform.Naive.cs
index c2e693cd..260031c6 100644
--- a/src/Numerics/IntegralTransforms/Algorithms/DiscreteHartleyTransform.Naive.cs
+++ b/src/Numerics/IntegralTransforms/Algorithms/DiscreteHartleyTransform.Naive.cs
@@ -43,7 +43,7 @@ namespace MathNet.Numerics.IntegralTransforms.Algorithms
         /// <returns>Corresponding frequency-space vector.</returns>
         internal static double[] Naive(double[] samples)
         {
-            double w0 = 2 * Constants.Pi / samples.Length;
+            double w0 = Constants.Pi2 / samples.Length;
             var spectrum = new double[samples.Length];
 
             Parallel.For(