From 90f2614d52ac2719ef609f472a6a2d21f1b28064 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?J=C3=BCrg=20Lehni?= <juerg@scratchdisk.com>
Date: Fri, 19 Apr 2013 17:03:41 -0700
Subject: [PATCH] Export Numerical object and move KAPPA constant there.

---
 examples/Tools/SquareRounded.html | 2 +-
 src/path/Path.Constructors.js     | 3 +--
 src/svg/SvgExport.js              | 9 +++------
 src/util/Numerical.js             | 4 +++-
 4 files changed, 8 insertions(+), 10 deletions(-)

diff --git a/examples/Tools/SquareRounded.html b/examples/Tools/SquareRounded.html
index 1b3de8e9..90c94ff9 100644
--- a/examples/Tools/SquareRounded.html
+++ b/examples/Tools/SquareRounded.html
@@ -23,7 +23,7 @@
 		function checkValues() {
 			var min = values.radius * 2;
 			if (values.tolerance < min) values.tolerance = min;
-			handle = values.radius * 0.5522847498; // kappa
+			handle = values.radius * Numerical.KAPPA;
 		}
 
 		var path;
diff --git a/src/path/Path.Constructors.js b/src/path/Path.Constructors.js
index 9a195cfe..53517363 100644
--- a/src/path/Path.Constructors.js
+++ b/src/path/Path.Constructors.js
@@ -56,8 +56,7 @@ Path.inject({ statics: new function() {
 		return path;
 	}
 
-	// Kappa, see: http://www.whizkidtech.redprince.net/bezier/circle/kappa/
-	var kappa = 2 * (Math.sqrt(2) - 1) / 3;
+	var kappa = Numerical.KAPPA;
 
 	var ellipseSegments = [
 		new Segment([0, 0.5], [0, kappa ], [0, -kappa]),
diff --git a/src/svg/SvgExport.js b/src/svg/SvgExport.js
index a42288e9..002c7349 100644
--- a/src/svg/SvgExport.js
+++ b/src/svg/SvgExport.js
@@ -112,13 +112,10 @@ new function() {
 						seg4._point.subtract(seg3._point));
 		}
 
-		// Kappa, see: http://www.whizkidtech.redprince.net/bezier/circle/kappa/
-		var kappa = 4 * (Math.sqrt(2) - 1) / 3;
-
 		// Returns true if the segment at the given index is the beginning of
 		// a orthogonal arc segment. The code is looking at the length of the
 		// handles and their relation to the distance to the imaginary corner
-		// point. If the relation is kappa (see above), then it's an arc.
+		// point. If the relation is kappa, then it's an arc.
 		function isArc(i) {
 			var segment = segments[i],
 				next = segment.getNext(),
@@ -132,9 +129,9 @@ new function() {
 					corner = new Line(from, handle1).intersect(
 							new Line(to, handle2));
 				return corner && Numerical.isZero(handle1.getLength() /
-						corner.subtract(from).getLength() - kappa)
+						corner.subtract(from).getLength() - Numerical.KAPPA)
 					&& Numerical.isZero(handle2.getLength() /
-						corner.subtract(to).getLength() - kappa);
+						corner.subtract(to).getLength() - Numerical.KAPPA);
 			}
 		}
 
diff --git a/src/util/Numerical.js b/src/util/Numerical.js
index 8ccf77f0..5c530064 100644
--- a/src/util/Numerical.js
+++ b/src/util/Numerical.js
@@ -10,7 +10,7 @@
  * All rights reserved.
  */
 
-var Numerical = new function() {
+var Numerical = this.Numerical = new function() {
 
 	// Lookup tables for abscissas and weights with values for n = 2 .. 16.
 	// As values are symetric, only store half of them and addapt algorithm
@@ -68,6 +68,8 @@ var Numerical = new function() {
 		// Precision when comparing against 0
 		// TODO: Find a good value
 		EPSILON: 10e-12,
+		// Kappa, see: http://www.whizkidtech.redprince.net/bezier/circle/kappa/
+		KAPPA: 2 * (sqrt(2) - 1) / 3,
 
 		/**
 		 * Check if the value is 0, within a tolerance defined by