From bc1328528aad30615de64e56e1baa2b3d33491f6 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:41:06 -0600
Subject: [PATCH 01/15] Remove unused sphere.crossTrackDistance() method

---
 src/ol/sphere/sphere.js            | 17 -----------------
 test/spec/ol/sphere/sphere.test.js |  1 -
 2 files changed, 18 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 11beda86f3..4175c046ff 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -87,23 +87,6 @@ ol.Sphere.prototype.geodesicArea = function(coordinates) {
 };
 
 
-/**
- * Returns the distance of c3 from the great circle path defined by c1 and c2.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @param {ol.Coordinate} c3 Coordinate 3.
- * @return {number} Cross-track distance.
- */
-ol.Sphere.prototype.crossTrackDistance = function(c1, c2, c3) {
-  var d13 = this.cosineDistance(c1, c2);
-  var theta12 = goog.math.toRadians(this.initialBearing(c1, c2));
-  var theta13 = goog.math.toRadians(this.initialBearing(c1, c3));
-  return this.radius *
-      Math.asin(Math.sin(d13 / this.radius) * Math.sin(theta13 - theta12));
-};
-
-
 /**
  * Returns the distance from c1 to c2 using Pythagoras's theorem on an
  * equirectangular projection.
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index 465a42bcbe..13259f9f5f 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -1,5 +1,4 @@
 // See http://www.movable-type.co.uk/scripts/latlong.html
-// FIXME add tests for crossTrackDistance
 // FIXME add tests for maximumLatitude
 // FIXME add tests for offset
 

From c74277cae87842d07a4f2e5a620e7953ca8f34d4 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:43:26 -0600
Subject: [PATCH 02/15] Remove unused sphere.cosineDistance() method

---
 src/ol/sphere/sphere.js            | 17 -----------------
 test/spec/ol/sphere/sphere.test.js | 28 ----------------------------
 2 files changed, 45 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 4175c046ff..580bd033d8 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -40,23 +40,6 @@ ol.Sphere = function(radius) {
 };
 
 
-/**
- * Returns the distance from c1 to c2 using the spherical law of cosines.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @return {number} Spherical law of cosines distance.
- */
-ol.Sphere.prototype.cosineDistance = function(c1, c2) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var deltaLon = goog.math.toRadians(c2[0] - c1[0]);
-  return this.radius * Math.acos(
-      Math.sin(lat1) * Math.sin(lat2) +
-      Math.cos(lat1) * Math.cos(lat2) * Math.cos(deltaLon));
-};
-
-
 /**
  * Returns the geodesic area for a list of coordinates.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index 13259f9f5f..a3c59ee7b4 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -12,7 +12,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [0, 0],
-      cosineDistance: 0,
       equirectangularDistance: 0,
       finalBearing: 180,
       haversineDistance: 0,
@@ -22,7 +21,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [45, 45],
-      cosineDistance: 6671.695598673524,
       equirectangularDistance: 6812.398372654371,
       finalBearing: 54.735610317245346,
       haversineDistance: 6671.695598673525,
@@ -32,7 +30,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [-45, 45],
-      cosineDistance: 6671.695598673524,
       equirectangularDistance: 6812.398372654371,
       finalBearing: 305.26438968275465,
       haversineDistance: 6671.695598673525,
@@ -42,7 +39,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [-45, -45],
-      cosineDistance: 6671.695598673524,
       equirectangularDistance: 6812.398372654371,
       finalBearing: 234.73561031724535,
       haversineDistance: 6671.695598673525,
@@ -52,7 +48,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [45, -45],
-      cosineDistance: 6671.695598673524,
       equirectangularDistance: 6812.398372654371,
       finalBearing: 125.26438968275465,
       haversineDistance: 6671.695598673525,
@@ -62,7 +57,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [45, 45],
-      cosineDistance: 0,
       equirectangularDistance: 0,
       finalBearing: 180,
       haversineDistance: 0,
@@ -72,7 +66,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [-45, 45],
-      cosineDistance: 6671.695598673525,
       equirectangularDistance: 7076.401799751738,
       finalBearing: 234.73561031724535,
       haversineDistance: 6671.695598673525,
@@ -82,7 +75,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [-45, -45],
-      cosineDistance: 13343.391197347048,
       equirectangularDistance: 14152.803599503475,
       finalBearing: 234.73561031724535,
       haversineDistance: 13343.391197347048,
@@ -92,7 +84,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [45, -45],
-      cosineDistance: 10007.543398010284,
       equirectangularDistance: 10007.543398010286,
       finalBearing: 180,
       haversineDistance: 10007.543398010286,
@@ -102,7 +93,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [-45, 45],
-      cosineDistance: 0,
       equirectangularDistance: 0,
       finalBearing: 180,
       haversineDistance: 0,
@@ -112,7 +102,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [-45, -45],
-      cosineDistance: 10007.543398010284,
       equirectangularDistance: 10007.543398010286,
       finalBearing: 180,
       haversineDistance: 10007.543398010286,
@@ -122,7 +111,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [45, -45],
-      cosineDistance: 13343.391197347048,
       equirectangularDistance: 14152.803599503475,
       finalBearing: 125.26438968275465,
       haversineDistance: 13343.391197347048,
@@ -132,7 +120,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, -45],
       c2: [-45, -45],
-      cosineDistance: 0,
       equirectangularDistance: 0,
       finalBearing: 180,
       haversineDistance: 0,
@@ -142,7 +129,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, -45],
       c2: [45, -45],
-      cosineDistance: 6671.695598673525,
       equirectangularDistance: 7076.401799751738,
       finalBearing: 54.735610317245346,
       haversineDistance: 6671.695598673525,
@@ -152,7 +138,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, -45],
       c2: [45, -45],
-      cosineDistance: 0,
       equirectangularDistance: 0,
       finalBearing: 180,
       haversineDistance: 0,
@@ -161,19 +146,6 @@ describe('ol.Sphere', function() {
     }
   ];
 
-  describe('cosineDistance', function() {
-
-    it('results match Chris Veness\'s reference implementation', function() {
-      var e, i;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        expect(sphere.cosineDistance(e.c1, e.c2)).to.roughlyEqual(
-            e.cosineDistance, 1e-3);
-      }
-    });
-
-  });
-
   describe('equirectangularDistance', function() {
 
     it('results match Chris Veness\'s reference implementation', function() {

From 8ec2bcef17cb9826ae6c396579549928f6336f8f Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:46:20 -0600
Subject: [PATCH 03/15] Remove unused sphere.finalBearing() method

---
 src/ol/sphere/sphere.js            | 12 ------------
 test/spec/ol/sphere/sphere.test.js | 28 ----------------------------
 2 files changed, 40 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 580bd033d8..86a3d9a7f9 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -88,18 +88,6 @@ ol.Sphere.prototype.equirectangularDistance = function(c1, c2) {
 };
 
 
-/**
- * Returns the final bearing from c1 to c2.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @return {number} Initial bearing.
- */
-ol.Sphere.prototype.finalBearing = function(c1, c2) {
-  return (this.initialBearing(c2, c1) + 180) % 360;
-};
-
-
 /**
  * Returns the distance from c1 to c2 using the haversine formula.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index a3c59ee7b4..d127266db7 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -13,7 +13,6 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [0, 0],
       equirectangularDistance: 0,
-      finalBearing: 180,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [0, 0]
@@ -22,7 +21,6 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [45, 45],
       equirectangularDistance: 6812.398372654371,
-      finalBearing: 54.735610317245346,
       haversineDistance: 6671.695598673525,
       initialBearing: 35.264389682754654,
       midpoint: [18.434948822922006, 24.0948425521107]
@@ -31,7 +29,6 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [-45, 45],
       equirectangularDistance: 6812.398372654371,
-      finalBearing: 305.26438968275465,
       haversineDistance: 6671.695598673525,
       initialBearing: -35.264389682754654,
       midpoint: [-18.434948822922006, 24.0948425521107]
@@ -40,7 +37,6 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [-45, -45],
       equirectangularDistance: 6812.398372654371,
-      finalBearing: 234.73561031724535,
       haversineDistance: 6671.695598673525,
       initialBearing: -144.73561031724535,
       midpoint: [-18.434948822922006, -24.0948425521107]
@@ -49,7 +45,6 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [45, -45],
       equirectangularDistance: 6812.398372654371,
-      finalBearing: 125.26438968275465,
       haversineDistance: 6671.695598673525,
       initialBearing: 144.73561031724535,
       midpoint: [18.434948822922006, -24.0948425521107]
@@ -58,7 +53,6 @@ describe('ol.Sphere', function() {
       c1: [45, 45],
       c2: [45, 45],
       equirectangularDistance: 0,
-      finalBearing: 180,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [45.00000000000005, 45]
@@ -67,7 +61,6 @@ describe('ol.Sphere', function() {
       c1: [45, 45],
       c2: [-45, 45],
       equirectangularDistance: 7076.401799751738,
-      finalBearing: 234.73561031724535,
       haversineDistance: 6671.695598673525,
       initialBearing: -54.73561031724535,
       midpoint: [0, 54.735610317245346]
@@ -76,7 +69,6 @@ describe('ol.Sphere', function() {
       c1: [45, 45],
       c2: [-45, -45],
       equirectangularDistance: 14152.803599503475,
-      finalBearing: 234.73561031724535,
       haversineDistance: 13343.391197347048,
       initialBearing: -125.26438968275465,
       midpoint: [0, 0]
@@ -85,7 +77,6 @@ describe('ol.Sphere', function() {
       c1: [45, 45],
       c2: [45, -45],
       equirectangularDistance: 10007.543398010286,
-      finalBearing: 180,
       haversineDistance: 10007.543398010286,
       initialBearing: 180,
       midpoint: [45.00000000000005, 0]
@@ -94,7 +85,6 @@ describe('ol.Sphere', function() {
       c1: [-45, 45],
       c2: [-45, 45],
       equirectangularDistance: 0,
-      finalBearing: 180,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [-45.00000000000005, 45]
@@ -103,7 +93,6 @@ describe('ol.Sphere', function() {
       c1: [-45, 45],
       c2: [-45, -45],
       equirectangularDistance: 10007.543398010286,
-      finalBearing: 180,
       haversineDistance: 10007.543398010286,
       initialBearing: 180,
       midpoint: [-45.00000000000005, 0]
@@ -112,7 +101,6 @@ describe('ol.Sphere', function() {
       c1: [-45, 45],
       c2: [45, -45],
       equirectangularDistance: 14152.803599503475,
-      finalBearing: 125.26438968275465,
       haversineDistance: 13343.391197347048,
       initialBearing: 125.26438968275465,
       midpoint: [0, 0]
@@ -121,7 +109,6 @@ describe('ol.Sphere', function() {
       c1: [-45, -45],
       c2: [-45, -45],
       equirectangularDistance: 0,
-      finalBearing: 180,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [-45.00000000000005, -45]
@@ -130,7 +117,6 @@ describe('ol.Sphere', function() {
       c1: [-45, -45],
       c2: [45, -45],
       equirectangularDistance: 7076.401799751738,
-      finalBearing: 54.735610317245346,
       haversineDistance: 6671.695598673525,
       initialBearing: 125.26438968275465,
       midpoint: [0, -54.735610317245346]
@@ -139,7 +125,6 @@ describe('ol.Sphere', function() {
       c1: [45, -45],
       c2: [45, -45],
       equirectangularDistance: 0,
-      finalBearing: 180,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [45.00000000000005, -45]
@@ -159,19 +144,6 @@ describe('ol.Sphere', function() {
 
   });
 
-  describe('finalBearing', function() {
-
-    it('results match Chris Veness\'s reference implementation', function() {
-      var e, i;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        expect(sphere.finalBearing(e.c1, e.c2)).to.roughlyEqual(
-            e.finalBearing, 1e-9);
-      }
-    });
-
-  });
-
   describe('haversineDistance', function() {
 
     it('results match Chris Veness\'s reference implementation', function() {

From daa47810722e2f9814c48728abd5d34051c7cbd8 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:48:09 -0600
Subject: [PATCH 04/15] Remove unused sphere.equirectangularDistance() method

---
 src/ol/sphere/sphere.js            | 18 ------------------
 test/spec/ol/sphere/sphere.test.js | 28 ----------------------------
 2 files changed, 46 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 86a3d9a7f9..662f56fd83 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -70,24 +70,6 @@ ol.Sphere.prototype.geodesicArea = function(coordinates) {
 };
 
 
-/**
- * Returns the distance from c1 to c2 using Pythagoras's theorem on an
- * equirectangular projection.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @return {number} Equirectangular distance.
- */
-ol.Sphere.prototype.equirectangularDistance = function(c1, c2) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var deltaLon = goog.math.toRadians(c2[0] - c1[0]);
-  var x = deltaLon * Math.cos((lat1 + lat2) / 2);
-  var y = lat2 - lat1;
-  return this.radius * Math.sqrt(x * x + y * y);
-};
-
-
 /**
  * Returns the distance from c1 to c2 using the haversine formula.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index d127266db7..8b89ab85cf 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -12,7 +12,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [0, 0],
-      equirectangularDistance: 0,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [0, 0]
@@ -20,7 +19,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [45, 45],
-      equirectangularDistance: 6812.398372654371,
       haversineDistance: 6671.695598673525,
       initialBearing: 35.264389682754654,
       midpoint: [18.434948822922006, 24.0948425521107]
@@ -28,7 +26,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [-45, 45],
-      equirectangularDistance: 6812.398372654371,
       haversineDistance: 6671.695598673525,
       initialBearing: -35.264389682754654,
       midpoint: [-18.434948822922006, 24.0948425521107]
@@ -36,7 +33,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [-45, -45],
-      equirectangularDistance: 6812.398372654371,
       haversineDistance: 6671.695598673525,
       initialBearing: -144.73561031724535,
       midpoint: [-18.434948822922006, -24.0948425521107]
@@ -44,7 +40,6 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [45, -45],
-      equirectangularDistance: 6812.398372654371,
       haversineDistance: 6671.695598673525,
       initialBearing: 144.73561031724535,
       midpoint: [18.434948822922006, -24.0948425521107]
@@ -52,7 +47,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [45, 45],
-      equirectangularDistance: 0,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [45.00000000000005, 45]
@@ -60,7 +54,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [-45, 45],
-      equirectangularDistance: 7076.401799751738,
       haversineDistance: 6671.695598673525,
       initialBearing: -54.73561031724535,
       midpoint: [0, 54.735610317245346]
@@ -68,7 +61,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [-45, -45],
-      equirectangularDistance: 14152.803599503475,
       haversineDistance: 13343.391197347048,
       initialBearing: -125.26438968275465,
       midpoint: [0, 0]
@@ -76,7 +68,6 @@ describe('ol.Sphere', function() {
     {
       c1: [45, 45],
       c2: [45, -45],
-      equirectangularDistance: 10007.543398010286,
       haversineDistance: 10007.543398010286,
       initialBearing: 180,
       midpoint: [45.00000000000005, 0]
@@ -84,7 +75,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [-45, 45],
-      equirectangularDistance: 0,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [-45.00000000000005, 45]
@@ -92,7 +82,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [-45, -45],
-      equirectangularDistance: 10007.543398010286,
       haversineDistance: 10007.543398010286,
       initialBearing: 180,
       midpoint: [-45.00000000000005, 0]
@@ -100,7 +89,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, 45],
       c2: [45, -45],
-      equirectangularDistance: 14152.803599503475,
       haversineDistance: 13343.391197347048,
       initialBearing: 125.26438968275465,
       midpoint: [0, 0]
@@ -108,7 +96,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, -45],
       c2: [-45, -45],
-      equirectangularDistance: 0,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [-45.00000000000005, -45]
@@ -116,7 +103,6 @@ describe('ol.Sphere', function() {
     {
       c1: [-45, -45],
       c2: [45, -45],
-      equirectangularDistance: 7076.401799751738,
       haversineDistance: 6671.695598673525,
       initialBearing: 125.26438968275465,
       midpoint: [0, -54.735610317245346]
@@ -124,26 +110,12 @@ describe('ol.Sphere', function() {
     {
       c1: [45, -45],
       c2: [45, -45],
-      equirectangularDistance: 0,
       haversineDistance: 0,
       initialBearing: 0,
       midpoint: [45.00000000000005, -45]
     }
   ];
 
-  describe('equirectangularDistance', function() {
-
-    it('results match Chris Veness\'s reference implementation', function() {
-      var e, i;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        expect(sphere.equirectangularDistance(e.c1, e.c2)).to.roughlyEqual(
-            e.equirectangularDistance, 1e-9);
-      }
-    });
-
-  });
-
   describe('haversineDistance', function() {
 
     it('results match Chris Veness\'s reference implementation', function() {

From 3852be0d7edeb3e136c29b5eced23f49657c8503 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:50:00 -0600
Subject: [PATCH 05/15] Remove unused sphere.initialBearing() method

---
 src/ol/sphere/sphere.js            | 18 ------------------
 test/spec/ol/sphere/sphere.test.js | 28 ----------------------------
 2 files changed, 46 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 662f56fd83..7bbd2a4a3e 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -126,24 +126,6 @@ ol.Sphere.prototype.interpolate = function(c1, c2, fraction) {
 };
 
 
-/**
- * Returns the initial bearing from c1 to c2.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @return {number} Initial bearing.
- */
-ol.Sphere.prototype.initialBearing = function(c1, c2) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var deltaLon = goog.math.toRadians(c2[0] - c1[0]);
-  var y = Math.sin(deltaLon) * Math.cos(lat2);
-  var x = Math.cos(lat1) * Math.sin(lat2) -
-      Math.sin(lat1) * Math.cos(lat2) * Math.cos(deltaLon);
-  return goog.math.toDegrees(Math.atan2(y, x));
-};
-
-
 /**
  * Returns the maximum latitude of the great circle defined by bearing and
  * latitude.
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index 8b89ab85cf..7b97f870ec 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -13,105 +13,90 @@ describe('ol.Sphere', function() {
       c1: [0, 0],
       c2: [0, 0],
       haversineDistance: 0,
-      initialBearing: 0,
       midpoint: [0, 0]
     },
     {
       c1: [0, 0],
       c2: [45, 45],
       haversineDistance: 6671.695598673525,
-      initialBearing: 35.264389682754654,
       midpoint: [18.434948822922006, 24.0948425521107]
     },
     {
       c1: [0, 0],
       c2: [-45, 45],
       haversineDistance: 6671.695598673525,
-      initialBearing: -35.264389682754654,
       midpoint: [-18.434948822922006, 24.0948425521107]
     },
     {
       c1: [0, 0],
       c2: [-45, -45],
       haversineDistance: 6671.695598673525,
-      initialBearing: -144.73561031724535,
       midpoint: [-18.434948822922006, -24.0948425521107]
     },
     {
       c1: [0, 0],
       c2: [45, -45],
       haversineDistance: 6671.695598673525,
-      initialBearing: 144.73561031724535,
       midpoint: [18.434948822922006, -24.0948425521107]
     },
     {
       c1: [45, 45],
       c2: [45, 45],
       haversineDistance: 0,
-      initialBearing: 0,
       midpoint: [45.00000000000005, 45]
     },
     {
       c1: [45, 45],
       c2: [-45, 45],
       haversineDistance: 6671.695598673525,
-      initialBearing: -54.73561031724535,
       midpoint: [0, 54.735610317245346]
     },
     {
       c1: [45, 45],
       c2: [-45, -45],
       haversineDistance: 13343.391197347048,
-      initialBearing: -125.26438968275465,
       midpoint: [0, 0]
     },
     {
       c1: [45, 45],
       c2: [45, -45],
       haversineDistance: 10007.543398010286,
-      initialBearing: 180,
       midpoint: [45.00000000000005, 0]
     },
     {
       c1: [-45, 45],
       c2: [-45, 45],
       haversineDistance: 0,
-      initialBearing: 0,
       midpoint: [-45.00000000000005, 45]
     },
     {
       c1: [-45, 45],
       c2: [-45, -45],
       haversineDistance: 10007.543398010286,
-      initialBearing: 180,
       midpoint: [-45.00000000000005, 0]
     },
     {
       c1: [-45, 45],
       c2: [45, -45],
       haversineDistance: 13343.391197347048,
-      initialBearing: 125.26438968275465,
       midpoint: [0, 0]
     },
     {
       c1: [-45, -45],
       c2: [-45, -45],
       haversineDistance: 0,
-      initialBearing: 0,
       midpoint: [-45.00000000000005, -45]
     },
     {
       c1: [-45, -45],
       c2: [45, -45],
       haversineDistance: 6671.695598673525,
-      initialBearing: 125.26438968275465,
       midpoint: [0, -54.735610317245346]
     },
     {
       c1: [45, -45],
       c2: [45, -45],
       haversineDistance: 0,
-      initialBearing: 0,
       midpoint: [45.00000000000005, -45]
     }
   ];
@@ -129,19 +114,6 @@ describe('ol.Sphere', function() {
 
   });
 
-  describe('initialBearing', function() {
-
-    it('results match Chris Veness\'s reference implementation', function() {
-      var e, i;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        expect(sphere.initialBearing(e.c1, e.c2)).to.roughlyEqual(
-            e.initialBearing, 1e-9);
-      }
-    });
-
-  });
-
   describe('interpolate', function() {
 
     it('results match at the start, midpoint, and end', function() {

From 9cccbd071266d1d05ffa5399bc752b4462921367 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:51:00 -0600
Subject: [PATCH 06/15] Remove unused sphere.maximumLatitude() method

---
 src/ol/sphere/sphere.js            | 14 --------------
 test/spec/ol/sphere/sphere.test.js |  1 -
 2 files changed, 15 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 7bbd2a4a3e..ccd65073cb 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -126,20 +126,6 @@ ol.Sphere.prototype.interpolate = function(c1, c2, fraction) {
 };
 
 
-/**
- * Returns the maximum latitude of the great circle defined by bearing and
- * latitude.
- *
- * @param {number} bearing Bearing.
- * @param {number} latitude Latitude.
- * @return {number} Maximum latitude.
- */
-ol.Sphere.prototype.maximumLatitude = function(bearing, latitude) {
-  return Math.cos(Math.abs(Math.sin(goog.math.toRadians(bearing)) *
-                           Math.cos(goog.math.toRadians(latitude))));
-};
-
-
 /**
  * Returns the midpoint between c1 and c2.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index 7b97f870ec..16eb6665bc 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -1,5 +1,4 @@
 // See http://www.movable-type.co.uk/scripts/latlong.html
-// FIXME add tests for maximumLatitude
 // FIXME add tests for offset
 
 goog.provide('ol.test.Sphere');

From b724ce6c0dc021e6bec4fae111f752ece83dd2a6 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:54:08 -0600
Subject: [PATCH 07/15] Remove unused sphere.interpolate() method

---
 src/ol/sphere/sphere.js            | 36 ------------------------------
 test/spec/ol/sphere/sphere.test.js | 20 -----------------
 2 files changed, 56 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index ccd65073cb..9a93569879 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -90,42 +90,6 @@ ol.Sphere.prototype.haversineDistance = function(c1, c2) {
 };
 
 
-/**
- * Returns the point at `fraction` along the segment of the great circle passing
- * through c1 and c2.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @param {number} fraction Fraction.
- * @return {ol.Coordinate} Coordinate between c1 and c2.
- */
-ol.Sphere.prototype.interpolate = function(c1, c2, fraction) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lon1 = goog.math.toRadians(c1[0]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var lon2 = goog.math.toRadians(c2[0]);
-  var cosLat1 = Math.cos(lat1);
-  var sinLat1 = Math.sin(lat1);
-  var cosLat2 = Math.cos(lat2);
-  var sinLat2 = Math.sin(lat2);
-  var cosDeltaLon = Math.cos(lon2 - lon1);
-  var d = sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosDeltaLon;
-  if (1 <= d) {
-    return c2.slice();
-  }
-  d = fraction * Math.acos(d);
-  var cosD = Math.cos(d);
-  var sinD = Math.sin(d);
-  var y = Math.sin(lon2 - lon1) * cosLat2;
-  var x = cosLat1 * sinLat2 - sinLat1 * cosLat2 * cosDeltaLon;
-  var theta = Math.atan2(y, x);
-  var lat = Math.asin(sinLat1 * cosD + cosLat1 * sinD * Math.cos(theta));
-  var lon = lon1 + Math.atan2(Math.sin(theta) * sinD * cosLat1,
-                              cosD - sinLat1 * Math.sin(lat));
-  return [goog.math.toDegrees(lon), goog.math.toDegrees(lat)];
-};
-
-
 /**
  * Returns the midpoint between c1 and c2.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index 16eb6665bc..c35bcebe2d 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -113,26 +113,6 @@ describe('ol.Sphere', function() {
 
   });
 
-  describe('interpolate', function() {
-
-    it('results match at the start, midpoint, and end', function() {
-      var e, i;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        var c1 = sphere.interpolate(e.c1, e.c2, 0);
-        expect(c1[0]).to.roughlyEqual(e.c1[0], 1e-9);
-        expect(c1[1]).to.roughlyEqual(e.c1[1], 1e-9);
-        var midpoint = sphere.interpolate(e.c1, e.c2, 0.5);
-        expect(midpoint[0]).to.roughlyEqual(e.midpoint[0], 1e-9);
-        expect(midpoint[1]).to.roughlyEqual(e.midpoint[1], 1e-5);
-        var c2 = sphere.interpolate(e.c1, e.c2, 1);
-        expect(c2[0]).to.roughlyEqual(e.c2[0], 1e-9);
-        expect(c2[1]).to.roughlyEqual(e.c2[1], 1e-5);
-      }
-    });
-
-  });
-
   describe('midpoint', function() {
 
     it('results match Chris Veness\'s reference implementation', function() {

From 90ec289c895284a33d0cbbb42ee3ef5f8c5273b7 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:56:23 -0600
Subject: [PATCH 08/15] Remove unused sphere.midpoint() method

---
 src/ol/sphere/sphere.js            | 22 -----------
 test/spec/ol/sphere/sphere.test.js | 62 ++++++++----------------------
 2 files changed, 15 insertions(+), 69 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index 9a93569879..e33b56624c 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -90,28 +90,6 @@ ol.Sphere.prototype.haversineDistance = function(c1, c2) {
 };
 
 
-/**
- * Returns the midpoint between c1 and c2.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 2.
- * @return {ol.Coordinate} Midpoint.
- */
-ol.Sphere.prototype.midpoint = function(c1, c2) {
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var lon1 = goog.math.toRadians(c1[0]);
-  var deltaLon = goog.math.toRadians(c2[0] - c1[0]);
-  var Bx = Math.cos(lat2) * Math.cos(deltaLon);
-  var By = Math.cos(lat2) * Math.sin(deltaLon);
-  var cosLat1PlusBx = Math.cos(lat1) + Bx;
-  var lat = Math.atan2(Math.sin(lat1) + Math.sin(lat2),
-                       Math.sqrt(cosLat1PlusBx * cosLat1PlusBx + By * By));
-  var lon = lon1 + Math.atan2(By, cosLat1PlusBx);
-  return [goog.math.toDegrees(lon), goog.math.toDegrees(lat)];
-};
-
-
 /**
  * Returns the coordinate at the given distance and bearing from `c1`.
  *
diff --git a/test/spec/ol/sphere/sphere.test.js b/test/spec/ol/sphere/sphere.test.js
index c35bcebe2d..3544a47c10 100644
--- a/test/spec/ol/sphere/sphere.test.js
+++ b/test/spec/ol/sphere/sphere.test.js
@@ -11,92 +11,77 @@ describe('ol.Sphere', function() {
     {
       c1: [0, 0],
       c2: [0, 0],
-      haversineDistance: 0,
-      midpoint: [0, 0]
+      haversineDistance: 0
     },
     {
       c1: [0, 0],
       c2: [45, 45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [18.434948822922006, 24.0948425521107]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [0, 0],
       c2: [-45, 45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [-18.434948822922006, 24.0948425521107]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [0, 0],
       c2: [-45, -45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [-18.434948822922006, -24.0948425521107]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [0, 0],
       c2: [45, -45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [18.434948822922006, -24.0948425521107]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [45, 45],
       c2: [45, 45],
-      haversineDistance: 0,
-      midpoint: [45.00000000000005, 45]
+      haversineDistance: 0
     },
     {
       c1: [45, 45],
       c2: [-45, 45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [0, 54.735610317245346]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [45, 45],
       c2: [-45, -45],
-      haversineDistance: 13343.391197347048,
-      midpoint: [0, 0]
+      haversineDistance: 13343.391197347048
     },
     {
       c1: [45, 45],
       c2: [45, -45],
-      haversineDistance: 10007.543398010286,
-      midpoint: [45.00000000000005, 0]
+      haversineDistance: 10007.543398010286
     },
     {
       c1: [-45, 45],
       c2: [-45, 45],
-      haversineDistance: 0,
-      midpoint: [-45.00000000000005, 45]
+      haversineDistance: 0
     },
     {
       c1: [-45, 45],
       c2: [-45, -45],
-      haversineDistance: 10007.543398010286,
-      midpoint: [-45.00000000000005, 0]
+      haversineDistance: 10007.543398010286
     },
     {
       c1: [-45, 45],
       c2: [45, -45],
-      haversineDistance: 13343.391197347048,
-      midpoint: [0, 0]
+      haversineDistance: 13343.391197347048
     },
     {
       c1: [-45, -45],
       c2: [-45, -45],
-      haversineDistance: 0,
-      midpoint: [-45.00000000000005, -45]
+      haversineDistance: 0
     },
     {
       c1: [-45, -45],
       c2: [45, -45],
-      haversineDistance: 6671.695598673525,
-      midpoint: [0, -54.735610317245346]
+      haversineDistance: 6671.695598673525
     },
     {
       c1: [45, -45],
       c2: [45, -45],
-      haversineDistance: 0,
-      midpoint: [45.00000000000005, -45]
+      haversineDistance: 0
     }
   ];
 
@@ -113,23 +98,6 @@ describe('ol.Sphere', function() {
 
   });
 
-  describe('midpoint', function() {
-
-    it('results match Chris Veness\'s reference implementation', function() {
-      var e, i, midpoint;
-      for (i = 0; i < expected.length; ++i) {
-        e = expected[i];
-        midpoint = sphere.midpoint(e.c1, e.c2);
-        // Test modulo 360 to avoid unnecessary expensive modulo operations
-        // in our implementation.
-        expect(goog.math.modulo(midpoint[0], 360)).to.roughlyEqual(
-            goog.math.modulo(e.midpoint[0], 360), 1e-9);
-        expect(midpoint[1]).to.roughlyEqual(e.midpoint[1], 1e-9);
-      }
-    });
-
-  });
-
   describe('Vincenty area', function() {
     var geometry;
     before(function(done) {

From 0ba7856d4913ce9adfafef3ec7a30fce13785da7 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 11:59:39 -0600
Subject: [PATCH 09/15] Remove FIXMEs

---
 src/ol/sphere/sphere.js | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/src/ol/sphere/sphere.js b/src/ol/sphere/sphere.js
index e33b56624c..259e6d3bfb 100644
--- a/src/ol/sphere/sphere.js
+++ b/src/ol/sphere/sphere.js
@@ -5,9 +5,6 @@
  * Licensed under CC-BY-3.0.
  */
 
-// FIXME add intersection of two paths given start points and bearings
-// FIXME add rhumb lines
-
 goog.provide('ol.Sphere');
 
 goog.require('goog.math');

From 6bbc41152150f239d48123046ea5b1372810b771 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:06:31 -0600
Subject: [PATCH 10/15] Remove unused ellipsoid.vincentyInitialBearing() method

---
 src/ol/ellipsoid/ellipsoid.js            | 16 -------
 test/spec/ol/ellipsoid/ellipsoid.test.js | 58 ------------------------
 2 files changed, 74 deletions(-)

diff --git a/src/ol/ellipsoid/ellipsoid.js b/src/ol/ellipsoid/ellipsoid.js
index 88ef01335f..1602a075fc 100644
--- a/src/ol/ellipsoid/ellipsoid.js
+++ b/src/ol/ellipsoid/ellipsoid.js
@@ -167,19 +167,3 @@ ol.Ellipsoid.prototype.vincentyFinalBearing =
   var vincenty = this.vincenty(c1, c2, opt_minDeltaLambda, opt_maxIterations);
   return vincenty.finalBearing;
 };
-
-
-/**
- * Returns the initial bearing from c1 to c2 using Vincenty.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 1.
- * @param {number=} opt_minDeltaLambda Minimum delta lambda for convergence.
- * @param {number=} opt_maxIterations Maximum iterations.
- * @return {number} Initial bearing.
- */
-ol.Ellipsoid.prototype.vincentyInitialBearing =
-    function(c1, c2, opt_minDeltaLambda, opt_maxIterations) {
-  var vincenty = this.vincenty(c1, c2, opt_minDeltaLambda, opt_maxIterations);
-  return vincenty.initialBearing;
-};
diff --git a/test/spec/ol/ellipsoid/ellipsoid.test.js b/test/spec/ol/ellipsoid/ellipsoid.test.js
index 1573c1ec3c..e3886e1d47 100644
--- a/test/spec/ol/ellipsoid/ellipsoid.test.js
+++ b/test/spec/ol/ellipsoid/ellipsoid.test.js
@@ -8,280 +8,240 @@ describe('ol.Ellipsoid', function() {
       c1: [0, 0],
       c2: [0, 0],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [0, 0],
       c2: [45, 45],
       vincentyFinalBearing: 54.890773827979565,
-      vincentyInitialBearing: 35.41005890511814,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [45, -45],
       vincentyFinalBearing: 125.10922617202044,
-      vincentyInitialBearing: 144.58994109488185,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [-45, -45],
       vincentyFinalBearing: -125.10922617202044,
-      vincentyInitialBearing: -144.58994109488185,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [-45, 45],
       vincentyFinalBearing: -54.890773827979565,
-      vincentyInitialBearing: -35.41005890511814,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [180, 90],
       vincentyFinalBearing: 180,
-      vincentyInitialBearing: 4.296211503097554e-31,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [180, -90],
       vincentyFinalBearing: 7.0164775638926606e-15,
-      vincentyInitialBearing: 180,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [-180, 90],
       vincentyFinalBearing: -180,
-      vincentyInitialBearing: -4.296211503097554e-31,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [-180, 90],
       vincentyFinalBearing: -180,
-      vincentyInitialBearing: -4.296211503097554e-31,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [45, 45],
       c2: [45, 45],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [45, 45],
       c2: [45, -45],
       vincentyFinalBearing: 180,
-      vincentyInitialBearing: 180,
       vincentyDistance: 9969888.755957305
     },
     {
       c1: [45, 45],
       c2: [-45, -45],
       vincentyFinalBearing: -125.10922617202044,
-      vincentyInitialBearing: -125.10922617202044,
       vincentyDistance: 13324945.436434371
     },
     {
       c1: [45, 45],
       c2: [-45, 45],
       vincentyFinalBearing: -125.27390277185786,
-      vincentyInitialBearing: -54.726097228142166,
       vincentyDistance: 6690232.932559058
     },
     {
       c1: [45, 45],
       c2: [180, 90],
       vincentyFinalBearing: 135,
-      vincentyInitialBearing: 3.5023624896823797e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, 45],
       c2: [180, -90],
       vincentyFinalBearing: 45.00000000000001,
-      vincentyInitialBearing: 180,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, 45],
       c2: [-180, 90],
       vincentyFinalBearing: 135.00000000000003,
-      vincentyInitialBearing: 3.5023624896823793e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, 45],
       c2: [-180, 90],
       vincentyFinalBearing: 135.00000000000003,
-      vincentyInitialBearing: 3.5023624896823793e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, -45],
       c2: [45, -45],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [45, -45],
       c2: [-45, -45],
       vincentyFinalBearing: -54.726097228142166,
-      vincentyInitialBearing: -125.27390277185786,
       vincentyDistance: 6690232.932559058
     },
     {
       c1: [45, -45],
       c2: [-45, 45],
       vincentyFinalBearing: -54.890773827979565,
-      vincentyInitialBearing: -54.890773827979565,
       vincentyDistance: 13324945.436434371
     },
     {
       c1: [45, -45],
       c2: [180, 90],
       vincentyFinalBearing: 135,
-      vincentyInitialBearing: 3.5023624896823797e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, -45],
       c2: [180, -90],
       vincentyFinalBearing: 45.00000000000001,
-      vincentyInitialBearing: 180,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, -45],
       c2: [-180, 90],
       vincentyFinalBearing: 135.00000000000003,
-      vincentyInitialBearing: 3.5023624896823793e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, -45],
       c2: [-180, 90],
       vincentyFinalBearing: 135.00000000000003,
-      vincentyInitialBearing: 3.5023624896823793e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [-45, -45],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-45, -45],
       c2: [-45, 45],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 9969888.755957305
     },
     {
       c1: [-45, -45],
       c2: [180, 90],
       vincentyFinalBearing: -135.00000000000003,
-      vincentyInitialBearing: -3.5023624896823793e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [180, -90],
       vincentyFinalBearing: -44.999999999999986,
-      vincentyInitialBearing: -180,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, -45],
       c2: [-180, 90],
       vincentyFinalBearing: -135,
-      vincentyInitialBearing: -3.5023624896823797e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [-180, 90],
       vincentyFinalBearing: -135,
-      vincentyInitialBearing: -3.5023624896823797e-15,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, 45],
       c2: [-45, 45],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-45, 45],
       c2: [180, 90],
       vincentyFinalBearing: -135.00000000000003,
-      vincentyInitialBearing: -3.5023624896823793e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, 45],
       c2: [180, -90],
       vincentyFinalBearing: -44.999999999999986,
-      vincentyInitialBearing: -180,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, 45],
       c2: [-180, 90],
       vincentyFinalBearing: -135,
-      vincentyInitialBearing: -3.5023624896823797e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, 45],
       c2: [-180, 90],
       vincentyFinalBearing: -135,
-      vincentyInitialBearing: -3.5023624896823797e-15,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [180, 90],
       c2: [180, 90],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [180, -90],
       c2: [180, -90],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
       vincentyFinalBearing: 0,
-      vincentyInitialBearing: 0,
       vincentyDistance: 0
     }
   ];
@@ -297,8 +257,6 @@ describe('ol.Ellipsoid', function() {
             expect(v.distance).to.roughlyEqual(e.vincentyDistance, 1e-8);
             expect(v.finalBearing).to.roughlyEqual(
                 e.vincentyFinalBearing, 1e-9);
-            expect(v.initialBearing).to.roughlyEqual(
-                e.vincentyInitialBearing, 1e-9);
           }
         });
 
@@ -335,22 +293,6 @@ describe('ol.Ellipsoid', function() {
 
   });
 
-  describe('vincentyInitialBearing', function() {
-
-    it('returns the same distances as Chris Veness\'s reference implementation',
-        function() {
-          var e, i, vincentyInitialBearing;
-          for (i = 0; i < expected.length; ++i) {
-            e = expected[i];
-            vincentyInitialBearing = ol.ellipsoid.WGS84.vincentyInitialBearing(
-                e.c1, e.c2, 1e-12, 100);
-            expect(vincentyInitialBearing).to.roughlyEqual(
-                e.vincentyInitialBearing, 1e-9);
-          }
-        });
-
-  });
-
 });
 
 

From b180149100dacc353d5026dd73a241c59e43ccce Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:08:39 -0600
Subject: [PATCH 11/15] Remove unused ellipsoid.vincentyFinalBearing() method

---
 src/ol/ellipsoid/ellipsoid.js            | 16 -------
 test/spec/ol/ellipsoid/ellipsoid.test.js | 58 ------------------------
 2 files changed, 74 deletions(-)

diff --git a/src/ol/ellipsoid/ellipsoid.js b/src/ol/ellipsoid/ellipsoid.js
index 1602a075fc..95722e77c1 100644
--- a/src/ol/ellipsoid/ellipsoid.js
+++ b/src/ol/ellipsoid/ellipsoid.js
@@ -151,19 +151,3 @@ ol.Ellipsoid.prototype.vincentyDistance =
   var vincenty = this.vincenty(c1, c2, opt_minDeltaLambda, opt_maxIterations);
   return vincenty.distance;
 };
-
-
-/**
- * Returns the final bearing from c1 to c2 using Vincenty.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 1.
- * @param {number=} opt_minDeltaLambda Minimum delta lambda for convergence.
- * @param {number=} opt_maxIterations Maximum iterations.
- * @return {number} Initial bearing.
- */
-ol.Ellipsoid.prototype.vincentyFinalBearing =
-    function(c1, c2, opt_minDeltaLambda, opt_maxIterations) {
-  var vincenty = this.vincenty(c1, c2, opt_minDeltaLambda, opt_maxIterations);
-  return vincenty.finalBearing;
-};
diff --git a/test/spec/ol/ellipsoid/ellipsoid.test.js b/test/spec/ol/ellipsoid/ellipsoid.test.js
index e3886e1d47..3e7175b966 100644
--- a/test/spec/ol/ellipsoid/ellipsoid.test.js
+++ b/test/spec/ol/ellipsoid/ellipsoid.test.js
@@ -7,241 +7,201 @@ describe('ol.Ellipsoid', function() {
     {
       c1: [0, 0],
       c2: [0, 0],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [0, 0],
       c2: [45, 45],
-      vincentyFinalBearing: 54.890773827979565,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [45, -45],
-      vincentyFinalBearing: 125.10922617202044,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [-45, -45],
-      vincentyFinalBearing: -125.10922617202044,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [-45, 45],
-      vincentyFinalBearing: -54.890773827979565,
       vincentyDistance: 6662472.718217184
     },
     {
       c1: [0, 0],
       c2: [180, 90],
-      vincentyFinalBearing: 180,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [180, -90],
-      vincentyFinalBearing: 7.0164775638926606e-15,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [-180, 90],
-      vincentyFinalBearing: -180,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [0, 0],
       c2: [-180, 90],
-      vincentyFinalBearing: -180,
       vincentyDistance: 10001965.729311794
     },
     {
       c1: [45, 45],
       c2: [45, 45],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [45, 45],
       c2: [45, -45],
-      vincentyFinalBearing: 180,
       vincentyDistance: 9969888.755957305
     },
     {
       c1: [45, 45],
       c2: [-45, -45],
-      vincentyFinalBearing: -125.10922617202044,
       vincentyDistance: 13324945.436434371
     },
     {
       c1: [45, 45],
       c2: [-45, 45],
-      vincentyFinalBearing: -125.27390277185786,
       vincentyDistance: 6690232.932559058
     },
     {
       c1: [45, 45],
       c2: [180, 90],
-      vincentyFinalBearing: 135,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, 45],
       c2: [180, -90],
-      vincentyFinalBearing: 45.00000000000001,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, 45],
       c2: [-180, 90],
-      vincentyFinalBearing: 135.00000000000003,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, 45],
       c2: [-180, 90],
-      vincentyFinalBearing: 135.00000000000003,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, -45],
       c2: [45, -45],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [45, -45],
       c2: [-45, -45],
-      vincentyFinalBearing: -54.726097228142166,
       vincentyDistance: 6690232.932559058
     },
     {
       c1: [45, -45],
       c2: [-45, 45],
-      vincentyFinalBearing: -54.890773827979565,
       vincentyDistance: 13324945.436434371
     },
     {
       c1: [45, -45],
       c2: [180, 90],
-      vincentyFinalBearing: 135,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, -45],
       c2: [180, -90],
-      vincentyFinalBearing: 45.00000000000001,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [45, -45],
       c2: [-180, 90],
-      vincentyFinalBearing: 135.00000000000003,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [45, -45],
       c2: [-180, 90],
-      vincentyFinalBearing: 135.00000000000003,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [-45, -45],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-45, -45],
       c2: [-45, 45],
-      vincentyFinalBearing: 0,
       vincentyDistance: 9969888.755957305
     },
     {
       c1: [-45, -45],
       c2: [180, 90],
-      vincentyFinalBearing: -135.00000000000003,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [180, -90],
-      vincentyFinalBearing: -44.999999999999986,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, -45],
       c2: [-180, 90],
-      vincentyFinalBearing: -135,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, -45],
       c2: [-180, 90],
-      vincentyFinalBearing: -135,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, 45],
       c2: [-45, 45],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-45, 45],
       c2: [180, 90],
-      vincentyFinalBearing: -135.00000000000003,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, 45],
       c2: [180, -90],
-      vincentyFinalBearing: -44.999999999999986,
       vincentyDistance: 14986910.107290443
     },
     {
       c1: [-45, 45],
       c2: [-180, 90],
-      vincentyFinalBearing: -135,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [-45, 45],
       c2: [-180, 90],
-      vincentyFinalBearing: -135,
       vincentyDistance: 5017021.35133314
     },
     {
       c1: [180, 90],
       c2: [180, 90],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [180, -90],
       c2: [180, -90],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     },
     {
       c1: [-180, 90],
       c2: [-180, 90],
-      vincentyFinalBearing: 0,
       vincentyDistance: 0
     }
   ];
@@ -255,8 +215,6 @@ describe('ol.Ellipsoid', function() {
             e = expected[i];
             v = ol.ellipsoid.WGS84.vincenty(e.c1, e.c2, 1e-12, 100);
             expect(v.distance).to.roughlyEqual(e.vincentyDistance, 1e-8);
-            expect(v.finalBearing).to.roughlyEqual(
-                e.vincentyFinalBearing, 1e-9);
           }
         });
 
@@ -277,22 +235,6 @@ describe('ol.Ellipsoid', function() {
 
   });
 
-  describe('vincentyFinalBearing', function() {
-
-    it('returns the same distances as Chris Veness\'s reference implementation',
-        function() {
-          var e, i, vincentyFinalBearing;
-          for (i = 0; i < expected.length; ++i) {
-            e = expected[i];
-            vincentyFinalBearing =
-                ol.ellipsoid.WGS84.vincentyFinalBearing(e.c1, e.c2, 1e-12, 100);
-            expect(vincentyFinalBearing).to.roughlyEqual(
-                e.vincentyFinalBearing, 1e-9);
-          }
-        });
-
-  });
-
 });
 
 

From d91f5ecc4825fd06c18ba90a5dbb8447cbfe8279 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:11:46 -0600
Subject: [PATCH 12/15] Remove unused ellipsoid.vincentyDistance() method

---
 src/ol/ellipsoid/ellipsoid.js            | 16 ----------------
 test/spec/ol/ellipsoid/ellipsoid.test.js | 15 ---------------
 2 files changed, 31 deletions(-)

diff --git a/src/ol/ellipsoid/ellipsoid.js b/src/ol/ellipsoid/ellipsoid.js
index 95722e77c1..38086eb644 100644
--- a/src/ol/ellipsoid/ellipsoid.js
+++ b/src/ol/ellipsoid/ellipsoid.js
@@ -135,19 +135,3 @@ ol.Ellipsoid.prototype.vincenty =
     finalBearing: goog.math.toDegrees(alpha2)
   };
 };
-
-
-/**
- * Returns the distance from c1 to c2 using Vincenty.
- *
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 1.
- * @param {number=} opt_minDeltaLambda Minimum delta lambda for convergence.
- * @param {number=} opt_maxIterations Maximum iterations.
- * @return {number} Vincenty distance.
- */
-ol.Ellipsoid.prototype.vincentyDistance =
-    function(c1, c2, opt_minDeltaLambda, opt_maxIterations) {
-  var vincenty = this.vincenty(c1, c2, opt_minDeltaLambda, opt_maxIterations);
-  return vincenty.distance;
-};
diff --git a/test/spec/ol/ellipsoid/ellipsoid.test.js b/test/spec/ol/ellipsoid/ellipsoid.test.js
index 3e7175b966..843d2d2205 100644
--- a/test/spec/ol/ellipsoid/ellipsoid.test.js
+++ b/test/spec/ol/ellipsoid/ellipsoid.test.js
@@ -220,21 +220,6 @@ describe('ol.Ellipsoid', function() {
 
   });
 
-  describe('vincentyDistance', function() {
-
-    it('returns the same distances as Chris Veness\'s reference implementation',
-        function() {
-          var e, i, vincentyDistance;
-          for (i = 0; i < expected.length; ++i) {
-            e = expected[i];
-            vincentyDistance =
-                ol.ellipsoid.WGS84.vincentyDistance(e.c1, e.c2, 1e-12, 100);
-            expect(vincentyDistance).to.roughlyEqual(e.vincentyDistance, 1e-8);
-          }
-        });
-
-  });
-
 });
 
 

From 13a9d2f6af6b17886a138f05415abc097b39f630 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:15:13 -0600
Subject: [PATCH 13/15] Remove unused ellipsoid.vincenty() method

---
 src/ol/ellipsoid/ellipsoid.js            |  95 ----------
 test/spec/ol/ellipsoid/ellipsoid.test.js | 227 -----------------------
 2 files changed, 322 deletions(-)
 delete mode 100644 test/spec/ol/ellipsoid/ellipsoid.test.js

diff --git a/src/ol/ellipsoid/ellipsoid.js b/src/ol/ellipsoid/ellipsoid.js
index 38086eb644..ad266f644c 100644
--- a/src/ol/ellipsoid/ellipsoid.js
+++ b/src/ol/ellipsoid/ellipsoid.js
@@ -1,8 +1,5 @@
 goog.provide('ol.Ellipsoid');
 
-goog.require('goog.math');
-goog.require('ol.Coordinate');
-
 
 
 /**
@@ -43,95 +40,3 @@ ol.Ellipsoid = function(a, flattening) {
   this.e = Math.sqrt(this.eSquared);
 
 };
-
-
-/**
- * @param {ol.Coordinate} c1 Coordinate 1.
- * @param {ol.Coordinate} c2 Coordinate 1.
- * @param {number=} opt_minDeltaLambda Minimum delta lambda for convergence.
- * @param {number=} opt_maxIterations Maximum iterations.
- * @return {{distance: number, initialBearing: number, finalBearing: number}}
- *     Vincenty.
- */
-ol.Ellipsoid.prototype.vincenty =
-    function(c1, c2, opt_minDeltaLambda, opt_maxIterations) {
-  var minDeltaLambda = goog.isDef(opt_minDeltaLambda) ?
-      opt_minDeltaLambda : 1e-12;
-  var maxIterations = goog.isDef(opt_maxIterations) ?
-      opt_maxIterations : 100;
-  var f = this.flattening;
-  var lat1 = goog.math.toRadians(c1[1]);
-  var lat2 = goog.math.toRadians(c2[1]);
-  var deltaLon = goog.math.toRadians(c2[0] - c1[0]);
-  var U1 = Math.atan((1 - f) * Math.tan(lat1));
-  var cosU1 = Math.cos(U1);
-  var sinU1 = Math.sin(U1);
-  var U2 = Math.atan((1 - f) * Math.tan(lat2));
-  var cosU2 = Math.cos(U2);
-  var sinU2 = Math.sin(U2);
-  var lambda = deltaLon;
-  var cosSquaredAlpha, sinAlpha;
-  var cosLambda, deltaLambda = Infinity, sinLambda;
-  var cos2SigmaM, cosSigma, sigma, sinSigma;
-  var i;
-  for (i = maxIterations; i > 0; --i) {
-    cosLambda = Math.cos(lambda);
-    sinLambda = Math.sin(lambda);
-    var x = cosU2 * sinLambda;
-    var y = cosU1 * sinU2 - sinU1 * cosU2 * cosLambda;
-    sinSigma = Math.sqrt(x * x + y * y);
-    if (sinSigma === 0) {
-      return {
-        distance: 0,
-        initialBearing: 0,
-        finalBearing: 0
-      };
-    }
-    cosSigma = sinU1 * sinU2 + cosU1 * cosU2 * cosLambda;
-    sigma = Math.atan2(sinSigma, cosSigma);
-    sinAlpha = cosU1 * cosU2 * sinLambda / sinSigma;
-    cosSquaredAlpha = 1 - sinAlpha * sinAlpha;
-    cos2SigmaM = cosSigma - 2 * sinU1 * sinU2 / cosSquaredAlpha;
-    if (isNaN(cos2SigmaM)) {
-      cos2SigmaM = 0;
-    }
-    var C = f / 16 * cosSquaredAlpha * (4 + f * (4 - 3 * cosSquaredAlpha));
-    var lambdaPrime = deltaLon + (1 - C) * f * sinAlpha * (sigma +
-        C * sinSigma * (cos2SigmaM +
-        C * cosSigma * (2 * cos2SigmaM * cos2SigmaM - 1)));
-    deltaLambda = Math.abs(lambdaPrime - lambda);
-    lambda = lambdaPrime;
-    if (deltaLambda < minDeltaLambda) {
-      break;
-    }
-  }
-  if (i === 0) {
-    return {
-      distance: NaN,
-      finalBearing: NaN,
-      initialBearing: NaN
-    };
-  }
-  var aSquared = this.a * this.a;
-  var bSquared = this.b * this.b;
-  var uSquared = cosSquaredAlpha * (aSquared - bSquared) / bSquared;
-  var A = 1 + uSquared / 16384 *
-      (4096 + uSquared * (uSquared * (320 - 175 * uSquared) - 768));
-  var B = uSquared / 1024 *
-      (256 + uSquared * (uSquared * (74 - 47 * uSquared) - 128));
-  var deltaSigma = B * sinSigma * (cos2SigmaM + B / 4 *
-      (cosSigma * (2 * cos2SigmaM * cos2SigmaM - 1) -
-       B / 6 * cos2SigmaM * (4 * sinSigma * sinSigma - 3) *
-       (4 * cos2SigmaM * cos2SigmaM - 3)));
-  cosLambda = Math.cos(lambda);
-  sinLambda = Math.sin(lambda);
-  var alpha1 = Math.atan2(cosU2 * sinLambda,
-                          cosU1 * sinU2 - sinU1 * cosU2 * cosLambda);
-  var alpha2 = Math.atan2(cosU1 * sinLambda,
-                          cosU1 * sinU2 * cosLambda - sinU1 * cosU2);
-  return {
-    distance: this.b * A * (sigma - deltaSigma),
-    initialBearing: goog.math.toDegrees(alpha1),
-    finalBearing: goog.math.toDegrees(alpha2)
-  };
-};
diff --git a/test/spec/ol/ellipsoid/ellipsoid.test.js b/test/spec/ol/ellipsoid/ellipsoid.test.js
deleted file mode 100644
index 843d2d2205..0000000000
--- a/test/spec/ol/ellipsoid/ellipsoid.test.js
+++ /dev/null
@@ -1,227 +0,0 @@
-goog.provide('ol.test.Ellipsoid');
-
-
-describe('ol.Ellipsoid', function() {
-
-  var expected = [
-    {
-      c1: [0, 0],
-      c2: [0, 0],
-      vincentyDistance: 0
-    },
-    {
-      c1: [0, 0],
-      c2: [45, 45],
-      vincentyDistance: 6662472.718217184
-    },
-    {
-      c1: [0, 0],
-      c2: [45, -45],
-      vincentyDistance: 6662472.718217184
-    },
-    {
-      c1: [0, 0],
-      c2: [-45, -45],
-      vincentyDistance: 6662472.718217184
-    },
-    {
-      c1: [0, 0],
-      c2: [-45, 45],
-      vincentyDistance: 6662472.718217184
-    },
-    {
-      c1: [0, 0],
-      c2: [180, 90],
-      vincentyDistance: 10001965.729311794
-    },
-    {
-      c1: [0, 0],
-      c2: [180, -90],
-      vincentyDistance: 10001965.729311794
-    },
-    {
-      c1: [0, 0],
-      c2: [-180, 90],
-      vincentyDistance: 10001965.729311794
-    },
-    {
-      c1: [0, 0],
-      c2: [-180, 90],
-      vincentyDistance: 10001965.729311794
-    },
-    {
-      c1: [45, 45],
-      c2: [45, 45],
-      vincentyDistance: 0
-    },
-    {
-      c1: [45, 45],
-      c2: [45, -45],
-      vincentyDistance: 9969888.755957305
-    },
-    {
-      c1: [45, 45],
-      c2: [-45, -45],
-      vincentyDistance: 13324945.436434371
-    },
-    {
-      c1: [45, 45],
-      c2: [-45, 45],
-      vincentyDistance: 6690232.932559058
-    },
-    {
-      c1: [45, 45],
-      c2: [180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [45, 45],
-      c2: [180, -90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [45, 45],
-      c2: [-180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [45, 45],
-      c2: [-180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [45, -45],
-      c2: [45, -45],
-      vincentyDistance: 0
-    },
-    {
-      c1: [45, -45],
-      c2: [-45, -45],
-      vincentyDistance: 6690232.932559058
-    },
-    {
-      c1: [45, -45],
-      c2: [-45, 45],
-      vincentyDistance: 13324945.436434371
-    },
-    {
-      c1: [45, -45],
-      c2: [180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [45, -45],
-      c2: [180, -90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [45, -45],
-      c2: [-180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [45, -45],
-      c2: [-180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [-45, -45],
-      c2: [-45, -45],
-      vincentyDistance: 0
-    },
-    {
-      c1: [-45, -45],
-      c2: [-45, 45],
-      vincentyDistance: 9969888.755957305
-    },
-    {
-      c1: [-45, -45],
-      c2: [180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [-45, -45],
-      c2: [180, -90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [-45, -45],
-      c2: [-180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [-45, -45],
-      c2: [-180, 90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [-45, 45],
-      c2: [-45, 45],
-      vincentyDistance: 0
-    },
-    {
-      c1: [-45, 45],
-      c2: [180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [-45, 45],
-      c2: [180, -90],
-      vincentyDistance: 14986910.107290443
-    },
-    {
-      c1: [-45, 45],
-      c2: [-180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [-45, 45],
-      c2: [-180, 90],
-      vincentyDistance: 5017021.35133314
-    },
-    {
-      c1: [180, 90],
-      c2: [180, 90],
-      vincentyDistance: 0
-    },
-    {
-      c1: [180, -90],
-      c2: [180, -90],
-      vincentyDistance: 0
-    },
-    {
-      c1: [-180, 90],
-      c2: [-180, 90],
-      vincentyDistance: 0
-    },
-    {
-      c1: [-180, 90],
-      c2: [-180, 90],
-      vincentyDistance: 0
-    },
-    {
-      c1: [-180, 90],
-      c2: [-180, 90],
-      vincentyDistance: 0
-    }
-  ];
-
-  describe('vincenty', function() {
-
-    it('returns the same distances as Chris Veness\'s reference implementation',
-        function() {
-          var e, i, v;
-          for (i = 0; i < expected.length; ++i) {
-            e = expected[i];
-            v = ol.ellipsoid.WGS84.vincenty(e.c1, e.c2, 1e-12, 100);
-            expect(v.distance).to.roughlyEqual(e.vincentyDistance, 1e-8);
-          }
-        });
-
-  });
-
-});
-
-
-goog.require('ol.Ellipsoid');
-goog.require('ol.ellipsoid.WGS84');

From d09506f5b1150900dc568a48f4ef9fd167023e35 Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:17:14 -0600
Subject: [PATCH 14/15] Remove unused ol.ellipsoid.WGS84

---
 src/ol/ellipsoid/wgs84ellipsoid.js | 10 ----------
 1 file changed, 10 deletions(-)
 delete mode 100644 src/ol/ellipsoid/wgs84ellipsoid.js

diff --git a/src/ol/ellipsoid/wgs84ellipsoid.js b/src/ol/ellipsoid/wgs84ellipsoid.js
deleted file mode 100644
index e5244b80d7..0000000000
--- a/src/ol/ellipsoid/wgs84ellipsoid.js
+++ /dev/null
@@ -1,10 +0,0 @@
-goog.provide('ol.ellipsoid.WGS84');
-
-goog.require('ol.Ellipsoid');
-
-
-/**
- * @const
- * @type {ol.Ellipsoid}
- */
-ol.ellipsoid.WGS84 = new ol.Ellipsoid(6378137, 1 / 298.257223563);

From 980dbc121a931d32e5cc918d74045ce76f63737c Mon Sep 17 00:00:00 2001
From: Tim Schaub <tim.schaub@gmail.com>
Date: Sun, 23 Aug 2015 12:18:45 -0600
Subject: [PATCH 15/15] Remove unused ol.Ellipsoid

---
 src/ol/ellipsoid/ellipsoid.js | 42 -----------------------------------
 1 file changed, 42 deletions(-)
 delete mode 100644 src/ol/ellipsoid/ellipsoid.js

diff --git a/src/ol/ellipsoid/ellipsoid.js b/src/ol/ellipsoid/ellipsoid.js
deleted file mode 100644
index ad266f644c..0000000000
--- a/src/ol/ellipsoid/ellipsoid.js
+++ /dev/null
@@ -1,42 +0,0 @@
-goog.provide('ol.Ellipsoid');
-
-
-
-/**
- * @constructor
- * @param {number} a Major radius.
- * @param {number} flattening Flattening.
- */
-ol.Ellipsoid = function(a, flattening) {
-
-  /**
-   * @const
-   * @type {number}
-   */
-  this.a = a;
-
-  /**
-   * @const
-   * @type {number}
-   */
-  this.flattening = flattening;
-
-  /**
-   * @const
-   * @type {number}
-   */
-  this.b = this.a * (1 - this.flattening);
-
-  /**
-   * @const
-   * @type {number}
-   */
-  this.eSquared = 2 * flattening - flattening * flattening;
-
-  /**
-   * @const
-   * @type {number}
-   */
-  this.e = Math.sqrt(this.eSquared);
-
-};