From 033ac8e016b96b11b45962d9b8bbd8e22125b226 Mon Sep 17 00:00:00 2001
From: Luc Maisonobe <luc@apache.org>
Date: Thu, 15 May 2008 19:54:52 +0000
Subject: [PATCH] fixed formula in fast cosine transformer javadoc comments
 JIRA: MATH-205

git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@656814 13f79535-47bb-0310-9956-ffa450edef68
---
 .../math/transform/FastCosineTransformer.java    | 16 ++++++++--------
 src/site/xdoc/changes.xml                        |  3 +++
 2 files changed, 11 insertions(+), 8 deletions(-)

diff --git a/src/java/org/apache/commons/math/transform/FastCosineTransformer.java b/src/java/org/apache/commons/math/transform/FastCosineTransformer.java
index a9e3f63f1..38b27be1c 100644
--- a/src/java/org/apache/commons/math/transform/FastCosineTransformer.java
+++ b/src/java/org/apache/commons/math/transform/FastCosineTransformer.java
@@ -53,7 +53,7 @@ public class FastCosineTransformer implements Serializable {
      * Transform the given real data set.
      * <p>
      * The formula is $ F_n = (1/2) [f_0 + (-1)^n f_N] +
-     *                        \Sigma_{k=0}^{N-1} f_k \cos(\pi nk/N) $
+     *                        \Sigma_{k=1}^{N-1} f_k \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the real data array to be transformed
@@ -71,7 +71,7 @@ public class FastCosineTransformer implements Serializable {
      * Transform the given real function, sampled on the given interval.
      * <p>
      * The formula is $ F_n = (1/2) [f_0 + (-1)^n f_N] +
-     *                        \Sigma_{k=0}^{N-1} f_k \cos(\pi nk/N) $
+     *                        \Sigma_{k=1}^{N-1} f_k \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the function to be sampled and transformed
@@ -94,7 +94,7 @@ public class FastCosineTransformer implements Serializable {
      * Transform the given real data set.
      * <p>
      * The formula is $ F_n = \sqrt{1/2N} [f_0 + (-1)^n f_N] +
-     *                        \sqrt{2/N} \Sigma_{k=0}^{N-1} f_k \cos(\pi nk/N) $
+     *                        \sqrt{2/N} \Sigma_{k=1}^{N-1} f_k \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the real data array to be transformed
@@ -113,7 +113,7 @@ public class FastCosineTransformer implements Serializable {
      * Transform the given real function, sampled on the given interval.
      * <p>
      * The formula is $ F_n = \sqrt{1/2N} [f_0 + (-1)^n f_N] +
-     *                        \sqrt{2/N} \Sigma_{k=0}^{N-1} f_k \cos(\pi nk/N) $
+     *                        \sqrt{2/N} \Sigma_{k=1}^{N-1} f_k \cos(\pi nk/N) $
      *
      * </p>
      * 
@@ -138,7 +138,7 @@ public class FastCosineTransformer implements Serializable {
      * Inversely transform the given real data set.
      * <p>
      * The formula is $ f_k = (1/N) [F_0 + (-1)^k F_N] +
-     *                        (2/N) \Sigma_{n=0}^{N-1} F_n \cos(\pi nk/N) $
+     *                        (2/N) \Sigma_{n=1}^{N-1} F_n \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the real data array to be inversely transformed
@@ -157,7 +157,7 @@ public class FastCosineTransformer implements Serializable {
      * Inversely transform the given real function, sampled on the given interval.
      * <p>
      * The formula is $ f_k = (1/N) [F_0 + (-1)^k F_N] +
-     *                        (2/N) \Sigma_{n=0}^{N-1} F_n \cos(\pi nk/N) $
+     *                        (2/N) \Sigma_{n=1}^{N-1} F_n \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the function to be sampled and inversely transformed
@@ -181,7 +181,7 @@ public class FastCosineTransformer implements Serializable {
      * Inversely transform the given real data set.
      * <p>
      * The formula is $ f_k = \sqrt{1/2N} [F_0 + (-1)^k F_N] +
-     *                        \sqrt{2/N} \Sigma_{n=0}^{N-1} F_n \cos(\pi nk/N) $
+     *                        \sqrt{2/N} \Sigma_{n=1}^{N-1} F_n \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the real data array to be inversely transformed
@@ -199,7 +199,7 @@ public class FastCosineTransformer implements Serializable {
      * Inversely transform the given real function, sampled on the given interval.
      * <p>
      * The formula is $ f_k = \sqrt{1/2N} [F_0 + (-1)^k F_N] +
-     *                        \sqrt{2/N} \Sigma_{n=0}^{N-1} F_n \cos(\pi nk/N) $
+     *                        \sqrt{2/N} \Sigma_{n=1}^{N-1} F_n \cos(\pi nk/N) $
      * </p>
      * 
      * @param f the function to be sampled and inversely transformed
diff --git a/src/site/xdoc/changes.xml b/src/site/xdoc/changes.xml
index f088eafbf..cc87af402 100644
--- a/src/site/xdoc/changes.xml
+++ b/src/site/xdoc/changes.xml
@@ -41,6 +41,9 @@ Commons Math Release Notes</title>
   <body>
     <release version="1.3-SNAPSHOT" date="TBD"
     description="TBD">
+      <action dev="luc" type="fix" issue="MATH-205" due-to="Roman Werpachowski">
+        Fixed formula in fast cosine transformer javadoc comments.
+      </action>
       <action dev="brentworden" type="fix" issue="MATH-193" due-to="Michael Heuer and Sebb">
         Javadoc and style fixes.
       </action>