From 0c3aa34402a863a0e2873924db2f6f838b568fd6 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Wed, 18 Jan 2017 08:55:00 +0100
Subject: [PATCH 01/11] First implementation of fixedFrameConverter

---
 Source/Core/Transforms.js | 486 ++++++++++++++------------------------
 1 file changed, 171 insertions(+), 315 deletions(-)

diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index b9ebfef6f1ff..d6f6dba64d0c 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -51,10 +51,165 @@ define([
      * @exports Transforms
      */
     var Transforms = {};
+    const vectorProductLocalFrame = {
+      up: {
+        south: 'east',
+        north: 'west',
+        west: 'south',
+        east: 'north'
+      },
+      down: {
+        south: 'west',
+        north: 'east',
+        west: 'north',
+        east: 'south'
+      },
+      south: {
+        up: 'west',
+        down: 'east',
+        west: 'down',
+        east: 'up'
+      },
+      north: {
+        up: 'east',
+        down: 'west',
+        west: 'up',
+        east: 'down'
+      },
+      west: {
+        up: 'north',
+        down: 'south',
+        north: 'down',
+        south: 'up'
+      },
+      east: {
+        up: 'south',
+        down: 'north',
+        north: 'up',
+        south: 'down'
+      }
+    };
+
+    const degeneratePositionLocalFrame = {
+      north: [
+        -1, 0, 0
+      ],
+      east: [
+        0, 1, 0
+      ],
+      up: [
+        0, 0, 1
+      ],
+      south: [
+        1, 0, 0
+      ],
+      west: [
+        0, -1, 0
+      ],
+      down: [0, 0, -1]
+    };
+    /**
+    * Generates a function that computes a 4x4 transformation matrix from a reference frame
+    * centered at the provided origin to the provided ellipsoid's fixed reference frame.
+    * @param  {String} firstAxis  name of the first axis of the local reference frame. Must be
+    *  east, north, up, west, south or down.
+    * @param  {String} secondAxis  name of the second axis of the local reference frame. Must be
+    *  east, north, up, west, south or down.
+    * @return {localFrameToFixedFrameGenerator~resultat} The function that will computes a
+    * 4x4 transformation matrix from a reference frame, with first axis and second axis compliant with the parameters,
+    */
+    Transforms.localFrameToFixedFrameGenerator = function( firstAxis, secondAxis) {
+      if (!vectorProductLocalFrame.hasOwnProperty(firstAxis) || !vectorProductLocalFrame[firstAxis].hasOwnProperty(secondAxis)) {
+        throw new DeveloperError('firstAxis and secondAxis must be east, north, up, west, south or down.');
+      }
+      var thirdAxis = vectorProductLocalFrame[firstAxis][secondAxis];
+      var calculateCartesian = {
+        east: new Cartesian3(),
+        north: new Cartesian3(),
+        up: new Cartesian3(),
+        west: new Cartesian3(),
+        south: new Cartesian3(),
+        down: new Cartesian3()
+      };
+      var firstCartesian = new Cartesian3();
+      var secondCartesian = new Cartesian3();
+      var thirdCartesian = new Cartesian3();
+
+      /**
+       * [resultat description]
+       * @param {Cartesian3} origin The center point of the local reference frame.
+       * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
+       * @param {Matrix4} [result] The object onto which to store the result.
+       * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
+       */
+      var resultat= function(origin, ellipsoid, result) {
+        //>>includeStart('debug', pragmas.debug);
+        if (!defined(origin)) {
+          throw new DeveloperError('origin is required.');
+        }
+        //>>includeEnd('debug');
+        if (!defined(result)) {
+          result = new Matrix4();
+        }
+        // If x and y are zero, assume origin is at a pole, which is a special case.
+        if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) && CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
+          var sign = CesiumMath.sign(origin.z);
+
+          Cartesian3.unpack(degeneratePositionLocalFrame[firstAxis], 0, firstCartesian);
+          if (firstAxis !== 'east' && firstAxis !== 'west') {
+            Cartesian3.multiplyByScalar(firstCartesian, sign, firstCartesian);
+          }
+
+          Cartesian3.unpack(degeneratePositionLocalFrame[secondAxis], 0, secondCartesian);
+          if (secondAxis !== 'east' && secondAxis !== 'west') {
+            Cartesian3.multiplyByScalar(secondCartesian, sign, secondCartesian);
+          }
+
+          Cartesian3.unpack(degeneratePositionLocalFrame[thirdAxis], 0, thirdCartesian);
+          if (thirdAxis !== 'east' && thirdAxis !== 'west') {
+            Cartesian3.multiplyByScalar(thirdCartesian, sign, thirdCartesian);
+          }
+        } else {
+
+          ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
+          ellipsoid.geodeticSurfaceNormal(origin, calculateCartesian.up);
 
-    var eastNorthUpToFixedFrameNormal = new Cartesian3();
-    var eastNorthUpToFixedFrameTangent = new Cartesian3();
-    var eastNorthUpToFixedFrameBitangent = new Cartesian3();
+          var up = calculateCartesian.up;
+          var east = calculateCartesian.east;
+          east.x = -origin.y;
+          east.y = origin.x;
+          east.z = 0.0;
+          Cartesian3.normalize(east, calculateCartesian.east);
+          Cartesian3.cross(up, east, calculateCartesian.north);
+
+          Cartesian3.multiplyByScalar(calculateCartesian.up, -1, calculateCartesian.down);
+          Cartesian3.multiplyByScalar(calculateCartesian.east, -1, calculateCartesian.west);
+          Cartesian3.multiplyByScalar(calculateCartesian.north, -1, calculateCartesian.south);
+
+          firstCartesian = calculateCartesian[firstAxis];
+          secondCartesian = calculateCartesian[secondAxis];
+          thirdCartesian = calculateCartesian[thirdAxis];
+        }
+        result[0] = firstCartesian.x;
+        result[1] = firstCartesian.y;
+        result[2] = firstCartesian.z;
+        result[3] = 0.0;
+        result[4] = secondCartesian.x;
+        result[5] = secondCartesian.y;
+        result[6] = secondCartesian.z;
+        result[7] = 0.0;
+        result[8] = thirdCartesian.x;
+        result[9] = thirdCartesian.y;
+        result[10] = thirdCartesian.z;
+        result[11] = 0.0;
+        result[12] = origin.x;
+        result[13] = origin.y;
+        result[14] = origin.z;
+        result[15] = 1.0;
+        return result;
+      };
+      return resultat;
+    }
 
     /**
      * Computes a 4x4 transformation matrix from a reference frame with an east-north-up axes
@@ -76,86 +231,7 @@ define([
      * var center = Cesium.Cartesian3.fromDegrees(0.0, 0.0);
      * var transform = Cesium.Transforms.eastNorthUpToFixedFrame(center);
      */
-    Transforms.eastNorthUpToFixedFrame = function(origin, ellipsoid, result) {
-        //>>includeStart('debug', pragmas.debug);
-        if (!defined(origin)) {
-            throw new DeveloperError('origin is required.');
-        }
-        //>>includeEnd('debug');
-
-        // If x and y are zero, assume origin is at a pole, which is a special case.
-        if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) &&
-            CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-            var sign = CesiumMath.sign(origin.z);
-            if (!defined(result)) {
-                return new Matrix4(
-                        0.0, -sign,  0.0, origin.x,
-                        1.0,   0.0,  0.0, origin.y,
-                        0.0,   0.0, sign, origin.z,
-                        0.0,   0.0,  0.0, 1.0);
-            }
-            result[0] = 0.0;
-            result[1] = 1.0;
-            result[2] = 0.0;
-            result[3] = 0.0;
-            result[4] = -sign;
-            result[5] = 0.0;
-            result[6] = 0.0;
-            result[7] = 0.0;
-            result[8] = 0.0;
-            result[9] = 0.0;
-            result[10] = sign;
-            result[11] = 0.0;
-            result[12] = origin.x;
-            result[13] = origin.y;
-            result[14] = origin.z;
-            result[15] = 1.0;
-            return result;
-        }
-
-        var normal = eastNorthUpToFixedFrameNormal;
-        var tangent  = eastNorthUpToFixedFrameTangent;
-        var bitangent = eastNorthUpToFixedFrameBitangent;
-
-        ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-        ellipsoid.geodeticSurfaceNormal(origin, normal);
-
-        tangent.x = -origin.y;
-        tangent.y = origin.x;
-        tangent.z = 0.0;
-        Cartesian3.normalize(tangent, tangent);
-
-        Cartesian3.cross(normal, tangent, bitangent);
-
-        if (!defined(result)) {
-            return new Matrix4(
-                    tangent.x, bitangent.x, normal.x, origin.x,
-                    tangent.y, bitangent.y, normal.y, origin.y,
-                    tangent.z, bitangent.z, normal.z, origin.z,
-                    0.0,       0.0,         0.0,      1.0);
-        }
-        result[0] = tangent.x;
-        result[1] = tangent.y;
-        result[2] = tangent.z;
-        result[3] = 0.0;
-        result[4] = bitangent.x;
-        result[5] = bitangent.y;
-        result[6] = bitangent.z;
-        result[7] = 0.0;
-        result[8] = normal.x;
-        result[9] = normal.y;
-        result[10] = normal.z;
-        result[11] = 0.0;
-        result[12] = origin.x;
-        result[13] = origin.y;
-        result[14] = origin.z;
-        result[15] = 1.0;
-        return result;
-    };
-
-    var northEastDownToFixedFrameNormal = new Cartesian3();
-    var northEastDownToFixedFrameTangent = new Cartesian3();
-    var northEastDownToFixedFrameBitangent = new Cartesian3();
+    Transforms.eastNorthUpToFixedFrame = Transforms.localFrameToFixedFrameGenerator('east','north');
 
     /**
      * Computes a 4x4 transformation matrix from a reference frame with an north-east-down axes
@@ -177,82 +253,7 @@ define([
      * var center = Cesium.Cartesian3.fromDegrees(0.0, 0.0);
      * var transform = Cesium.Transforms.northEastDownToFixedFrame(center);
      */
-    Transforms.northEastDownToFixedFrame = function(origin, ellipsoid, result) {
-        //>>includeStart('debug', pragmas.debug);
-        if (!defined(origin)) {
-            throw new DeveloperError('origin is required.');
-        }
-        //>>includeEnd('debug');
-
-        if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) &&
-            CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-            // The poles are special cases.  If x and y are zero, assume origin is at a pole.
-            var sign = CesiumMath.sign(origin.z);
-            if (!defined(result)) {
-                return new Matrix4(
-                  -sign, 0.0,   0.0, origin.x,
-                    0.0, 1.0,   0.0, origin.y,
-                    0.0, 0.0, -sign, origin.z,
-                    0.0, 0.0,   0.0, 1.0);
-            }
-            result[0] = -sign;
-            result[1] = 0.0;
-            result[2] = 0.0;
-            result[3] = 0.0;
-            result[4] = 0.0;
-            result[5] = 1.0;
-            result[6] = 0.0;
-            result[7] = 0.0;
-            result[8] = 0.0;
-            result[9] = 0.0;
-            result[10] = -sign;
-            result[11] = 0.0;
-            result[12] = origin.x;
-            result[13] = origin.y;
-            result[14] = origin.z;
-            result[15] = 1.0;
-            return result;
-        }
-
-        var normal = northEastDownToFixedFrameNormal;
-        var tangent = northEastDownToFixedFrameTangent;
-        var bitangent = northEastDownToFixedFrameBitangent;
-
-        ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-        ellipsoid.geodeticSurfaceNormal(origin, normal);
-
-        tangent.x = -origin.y;
-        tangent.y = origin.x;
-        tangent.z = 0.0;
-        Cartesian3.normalize(tangent, tangent);
-
-        Cartesian3.cross(normal, tangent, bitangent);
-
-        if (!defined(result)) {
-            return new Matrix4(
-                    bitangent.x, tangent.x, -normal.x, origin.x,
-                    bitangent.y, tangent.y, -normal.y, origin.y,
-                    bitangent.z, tangent.z, -normal.z, origin.z,
-                    0.0,       0.0,         0.0,      1.0);
-        }
-        result[0] = bitangent.x;
-        result[1] = bitangent.y;
-        result[2] = bitangent.z;
-        result[3] = 0.0;
-        result[4] = tangent.x;
-        result[5] = tangent.y;
-        result[6] = tangent.z;
-        result[7] = 0.0;
-        result[8] = -normal.x;
-        result[9] = -normal.y;
-        result[10] = -normal.z;
-        result[11] = 0.0;
-        result[12] = origin.x;
-        result[13] = origin.y;
-        result[14] = origin.z;
-        result[15] = 1.0;
-        return result;
-    };
+    Transforms.northEastDownToFixedFrame = Transforms.localFrameToFixedFrameGenerator('north','east');
 
     /**
      * Computes a 4x4 transformation matrix from a reference frame with an north-up-east axes
@@ -274,82 +275,7 @@ define([
      * var center = Cesium.Cartesian3.fromDegrees(0.0, 0.0);
      * var transform = Cesium.Transforms.northUpEastToFixedFrame(center);
      */
-    Transforms.northUpEastToFixedFrame = function(origin, ellipsoid, result) {
-        //>>includeStart('debug', pragmas.debug);
-        if (!defined(origin)) {
-            throw new DeveloperError('origin is required.');
-        }
-        //>>includeEnd('debug');
-
-        // If x and y are zero, assume origin is at a pole, which is a special case.
-        if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) &&
-            CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-            var sign = CesiumMath.sign(origin.z);
-            if (!defined(result)) {
-                return new Matrix4(
-                       -sign, 0.0,  0.0, origin.x,
-                        0.0,  0.0,  1.0, origin.y,
-                        0.0,  sign, 0.0, origin.z,
-                        0.0,  0.0,  0.0, 1.0);
-            }
-            result[0] = -sign;
-            result[1] = 0.0;
-            result[2] = 0.0;
-            result[3] = 0.0;
-            result[4] = 0.0;
-            result[5] = 0.0;
-            result[6] = sign;
-            result[7] = 0.0;
-            result[8] = 0.0;
-            result[9] = 1.0;
-            result[10] = 0.0;
-            result[11] = 0.0;
-            result[12] = origin.x;
-            result[13] = origin.y;
-            result[14] = origin.z;
-            result[15] = 1.0;
-            return result;
-        }
-
-        var normal = eastNorthUpToFixedFrameNormal;
-        var tangent  = eastNorthUpToFixedFrameTangent;
-        var bitangent = eastNorthUpToFixedFrameBitangent;
-
-        ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-        ellipsoid.geodeticSurfaceNormal(origin, normal);
-
-        tangent.x = -origin.y;
-        tangent.y = origin.x;
-        tangent.z = 0.0;
-        Cartesian3.normalize(tangent, tangent);
-
-        Cartesian3.cross(normal, tangent, bitangent);
-
-        if (!defined(result)) {
-            return new Matrix4(
-                    bitangent.x, normal.x, tangent.x, origin.x,
-                    bitangent.y, normal.y, tangent.y, origin.y,
-                    bitangent.z, normal.z, tangent.z, origin.z,
-                    0.0,       0.0,         0.0,      1.0);
-        }
-        result[0] = bitangent.x;
-        result[1] = bitangent.y;
-        result[2] = bitangent.z;
-        result[3] = 0.0;
-        result[4] = normal.x;
-        result[5] = normal.y;
-        result[6] = normal.z;
-        result[7] = 0.0;
-        result[8] = tangent.x;
-        result[9] = tangent.y;
-        result[10] = tangent.z;
-        result[11] = 0.0;
-        result[12] = origin.x;
-        result[13] = origin.y;
-        result[14] = origin.z;
-        result[15] = 1.0;
-        return result;
-    };
+    Transforms.northUpEastToFixedFrame = Transforms.localFrameToFixedFrameGenerator('north','up');
 
     /**
     * Computes a 4x4 transformation matrix from a reference frame with an north-west-up axes
@@ -371,82 +297,7 @@ define([
     * var center = Cesium.Cartesian3.fromDegrees(0.0, 0.0);
     * var transform = Cesium.Transforms.northWestUpToFixedFrame(center);
     */
-   Transforms.northWestUpToFixedFrame = function(origin, ellipsoid, result) {
-       //>>includeStart('debug', pragmas.debug);
-       if (!defined(origin)) {
-           throw new DeveloperError('origin is required.');
-       }
-       //>>includeEnd('debug');
-
-       // If x and y are zero, assume origin is at a pole, which is a special case.
-       if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) &&
-           CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-           var sign = CesiumMath.sign(origin.z);
-           if (!defined(result)) {
-               return new Matrix4(
-                      -sign, 0.0,  0.0, origin.x,
-                       0.0,  -1.0,  0.0, origin.y,
-                       0.0,  0.0, sign, origin.z,
-                       0.0,  0.0,  0.0, 1.0);
-           }
-           result[0] = -sign;
-           result[1] = 0.0;
-           result[2] = 0.0;
-           result[3] = 0.0;
-           result[4] = 0.0;
-           result[5] = -1.0;
-           result[6] = 0.0;
-           result[7] = 0.0;
-           result[8] = 0.0;
-           result[9] = 0.0;
-           result[10] = sign;
-           result[11] = 0.0;
-           result[12] = origin.x;
-           result[13] = origin.y;
-           result[14] = origin.z;
-           result[15] = 1.0;
-           return result;
-       }
-
-       var normal = eastNorthUpToFixedFrameNormal;//Up
-       var tangent  = eastNorthUpToFixedFrameTangent;//East
-       var bitangent = eastNorthUpToFixedFrameBitangent;//North
-
-       ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-       ellipsoid.geodeticSurfaceNormal(origin, normal);
-
-       tangent.x = -origin.y;
-       tangent.y = origin.x;
-       tangent.z = 0.0;
-       Cartesian3.normalize(tangent, tangent);
-
-       Cartesian3.cross(normal, tangent, bitangent);
-
-       if (!defined(result)) {
-           return new Matrix4(
-                   bitangent.x, -tangent.x, normal.x, origin.x,
-                   bitangent.y, -tangent.y, normal.y, origin.y,
-                   bitangent.z, -tangent.z, normal.z, origin.z,
-                   0.0,       0.0,         0.0,      1.0);
-       }
-       result[0] = bitangent.x;
-       result[1] = bitangent.y;
-       result[2] = bitangent.z;
-       result[3] = 0.0;
-       result[4] = -tangent.x;
-       result[5] = -tangent.y;
-       result[6] = -tangent.z;
-       result[7] = 0.0;
-       result[8] = normal.x;
-       result[9] = normal.y;
-       result[10] = normal.z;
-       result[11] = 0.0;
-       result[12] = origin.x;
-       result[13] = origin.y;
-       result[14] = origin.z;
-       result[15] = 1.0;
-       return result;
-};
+   Transforms.northWestUpToFixedFrame = Transforms.localFrameToFixedFrameGenerator('north','west');
 
     var scratchHPRQuaternion = new Quaternion();
     var scratchScale = new Cartesian3(1.0, 1.0, 1.0);
@@ -461,6 +312,8 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
+     * @param {function} [fixedFrameTransform=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
+     *  to the provided ellipsoid's fixed reference frame
      * @param {Matrix4} [result] The object onto which to store the result.
      * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
      *
@@ -473,16 +326,17 @@ define([
      * var hpr = new Cesium.HeadingPitchRoll(heading, pitch, roll);
      * var transform = Cesium.Transforms.headingPitchRollToFixedFrame(center, hpr);
      */
-    Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, result) {
+    Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) {
         Check.typeOf.object(headingPitchRoll, 'headingPitchRoll');
         var heading = headingPitchRoll.heading;
         var pitch = headingPitchRoll.pitch;
         var roll = headingPitchRoll.roll;
 
         // checks for required parameters happen in the called functions
+        fixedFrameTransform=defaultValue(fixedFrameConverter,Transforms.eastNorthUpToFixedFrame);
         var hprQuaternion = Quaternion.fromHeadingPitchRoll(heading, pitch, roll, scratchHPRQuaternion);
         var hprMatrix = Matrix4.fromTranslationQuaternionRotationScale(Cartesian3.ZERO, hprQuaternion, scratchScale, scratchHPRMatrix4);
-        result = Transforms.eastNorthUpToFixedFrame(origin, ellipsoid, result);
+        result = fixedFrameTransform(origin, ellipsoid, result);
         return Matrix4.multiply(result, hprMatrix, result);
     };
 
@@ -498,6 +352,8 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
+     * @param {function} [fixedFrameTransform=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
+     *  to the provided ellipsoid's fixed reference frame
      * @param {Quaternion} [result] The object onto which to store the result.
      * @returns {Quaternion} The modified result parameter or a new Quaternion instance if none was provided.
      *
@@ -510,10 +366,10 @@ define([
      * var hpr = new HeadingPitchRoll(heading, pitch, roll);
      * var quaternion = Cesium.Transforms.headingPitchRollQuaternion(center, hpr);
      */
-    Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, result) {
+    Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) {
         // checks for required parameters happen in the called functions
         Check.typeOf.object(headingPitchRoll, 'headingPitchRoll');
-        var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, scratchENUMatrix4);
+        var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid,fixedFrameTransform, scratchENUMatrix4);
         var rotation = Matrix4.getRotation(transform, scratchHPRMatrix3);
         return Quaternion.fromRotationMatrix(rotation, result);
     };

From d1d9206a3e1eb7b9859c4641f197c902ca4cca29 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Sat, 21 Jan 2017 00:38:31 +0100
Subject: [PATCH 02/11] adding ability to change the local frame for
 orientations

---
 .../{development => }/HeadingPitchRoll.html   |  28 +--
 Apps/Sandcastle/gallery/HeadingPitchRoll.jpg  | Bin 0 -> 24445 bytes
 .../Sandcastle/gallery/LocalToFixedFrame.html | 228 +++++++++++++++++
 Apps/Sandcastle/gallery/LocalToFixedFrame.jpg | Bin 0 -> 24445 bytes
 .../development/3D Models Node Explorer.html  |  15 +-
 .../gallery/development/HeadingPitchRoll.jpg  | Bin 24887 -> 0 bytes
 Source/Core/Quaternion.js                     |  32 ++-
 Source/Core/Transforms.js                     |  47 ++--
 Source/Scene/Camera.js                        |  30 ++-
 Specs/Core/HeadingPitchRollSpec.js            |   7 +-
 Specs/Core/QuaternionSpec.js                  |  24 +-
 Specs/Core/TransformsSpec.js                  | 236 ++++++++++++++++--
 12 files changed, 559 insertions(+), 88 deletions(-)
 rename Apps/Sandcastle/gallery/{development => }/HeadingPitchRoll.html (92%)
 create mode 100644 Apps/Sandcastle/gallery/HeadingPitchRoll.jpg
 create mode 100644 Apps/Sandcastle/gallery/LocalToFixedFrame.html
 create mode 100644 Apps/Sandcastle/gallery/LocalToFixedFrame.jpg
 delete mode 100644 Apps/Sandcastle/gallery/development/HeadingPitchRoll.jpg

diff --git a/Apps/Sandcastle/gallery/development/HeadingPitchRoll.html b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
similarity index 92%
rename from Apps/Sandcastle/gallery/development/HeadingPitchRoll.html
rename to Apps/Sandcastle/gallery/HeadingPitchRoll.html
index a58c6fae485e..82d507368d34 100644
--- a/Apps/Sandcastle/gallery/development/HeadingPitchRoll.html
+++ b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
@@ -4,7 +4,7 @@
     <meta charset="utf-8">
     <meta http-equiv="X-UA-Compatible" content="IE=edge">
     <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no">
-    <meta name="description" content="Create 3D models using glTF.">
+    <meta name="description" content="Use HeadingPitchRoll to rotate entity.">
     <meta name="cesium-sandcastle-labels" content="Development">
     <title>Cesium Demo</title>
     <script type="text/javascript" src="../Sandcastle-header.js"></script>
@@ -70,9 +70,10 @@ <h1>Loading...</h1>
 var viewer = new Cesium.Viewer('cesiumContainer');
 var canvas = viewer.canvas;
 canvas.setAttribute('tabindex', '0'); // needed to put focus on the canvas
-canvas.onclick = function() {
-     canvas.focus();
-};
+canvas.addEventListener('click',function(){
+  canvas.focus();
+});
+canvas.focus();
 
 var scene = viewer.scene;
 
@@ -101,13 +102,15 @@ <h1>Loading...</h1>
 var hpRoll = new Cesium.HeadingPitchRoll();
 var hpRange = new Cesium.HeadingPitchRange();
 var speed = 10;
+var deltaRadians = Cesium.Math.toRadians(3.0);
 
 var position = Cesium.Cartesian3.fromDegrees(-123.0744619, 44.0503706, 5000.0);
 var speedVector = new Cesium.Cartesian3();
+var fixedFrameTransform = Cesium.Transforms.localFrameToFixedFrameGenerator('north','west');
 
 var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
     url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
-    modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll),
+    modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, fixedFrameTransform),
     minimumPixelSize : 128
 }));
 
@@ -128,19 +131,16 @@ <h1>Loading...</h1>
     hpRange.pitch = pitch;
     hpRange.range = r * 50.0;
     camera.lookAt(center, hpRange);
-    update();
 });
 
-document.addEventListener('keyup', function(e) {
-    var deltaRadians = Cesium.Math.toRadians(3.0);
-
+document.addEventListener('keydown', function(e) {
     switch (e.keyCode) {
         case 40:
             if (e.shiftKey) {
                 // speed down
                 speed = Math.max(--speed, 1);
             } else {
-                // pitch down until
+                // pitch down
                 hpRoll.pitch -= deltaRadians;
                 if (hpRoll.pitch < -Cesium.Math.TWO_PI) {
                     hpRoll.pitch += Cesium.Math.TWO_PI;
@@ -150,9 +150,9 @@ <h1>Loading...</h1>
         case 38:
             if (e.shiftKey) {
                 // speed up
-                speed = Math.max(speed++, 100);
+                speed = Math.min(++speed, 100);
             } else {
-                // pitch up until Math.PI/2
+                // pitch up
                 hpRoll.pitch += deltaRadians;
                 if (hpRoll.pitch > Cesium.Math.TWO_PI) {
                     hpRoll.pitch -= Cesium.Math.TWO_PI;
@@ -161,7 +161,7 @@ <h1>Loading...</h1>
             break;
         case 39:
             if (e.shiftKey) {
-                // roll right until Math.PI/2
+                // roll right
                 hpRoll.roll += deltaRadians;
                 if (hpRoll.roll > Cesium.Math.TWO_PI) {
                     hpRoll.roll -= Cesium.Math.TWO_PI;
@@ -208,7 +208,7 @@ <h1>Loading...</h1>
     speedVector = Cesium.Cartesian3.multiplyByScalar(Cesium.Cartesian3.UNIT_X, speed / 10, speedVector);
     position = Cesium.Matrix4.multiplyByPoint(planePrimitive.modelMatrix, speedVector, position);
     pathPosition.addSample(Cesium.JulianDate.now(), position);
-    Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, undefined, planePrimitive.modelMatrix);
+    Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, fixedFrameTransform, planePrimitive.modelMatrix);
 
     if (fromBehind.checked) {
         // Zoom to model
diff --git a/Apps/Sandcastle/gallery/HeadingPitchRoll.jpg b/Apps/Sandcastle/gallery/HeadingPitchRoll.jpg
new file mode 100644
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diff --git a/Apps/Sandcastle/gallery/LocalToFixedFrame.html b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
new file mode 100644
index 000000000000..58e8b220e21e
--- /dev/null
+++ b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
@@ -0,0 +1,228 @@
+<!DOCTYPE html>
+<html lang="en">
+<head>
+    <meta charset="utf-8">
+    <meta http-equiv="X-UA-Compatible" content="IE=edge">
+    <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no">
+    <meta name="description" content="Use localFrameToFixedFrameGenerator for adequate rotation.">
+    <meta name="cesium-sandcastle-labels" content="Development">
+    <title>Cesium Demo</title>
+    <script type="text/javascript" src="../Sandcastle-header.js"></script>
+    <script type="text/javascript" src="../../../ThirdParty/requirejs-2.1.20/require.js"></script>
+    <script type="text/javascript">
+    require.config({
+        baseUrl : '../../../Source',
+        waitSeconds : 60
+    });
+    </script>
+</head>
+<body class="sandcastle-loading" data-sandcastle-bucket="bucket-requirejs.html">
+<style>
+        @import url(../templates/bucket.css);
+    </style>
+    <div id="cesiumContainer" class="fullSize"></div>
+    <div id="loadingOverlay">
+        <h1>Loading...</h1>
+    </div>
+    <div id="toolbar">
+        <table>
+            <tbody>
+                <tr>
+                    <td>Click on the 3D window then use the keyboard to change settings.</td>
+                </tr>
+                <tr>
+                    <td>Heading: <span id="heading"></span>°</td>
+                </tr>
+                <tr>
+                    <td>← to left/→ to right</td>
+                </tr>
+                <tr>
+                    <td>Pitch: <span id="pitch"></span>°</td>
+                </tr>
+                <tr>
+                    <td>↑ to up/↓ to down</td>
+                </tr>
+                <tr>
+                    <td>roll: <span id="roll"></span>°</td>
+                </tr>
+                <tr>
+                    <td>← + ⇧ left/→ + ⇧ right</td>
+                </tr>
+            </tbody>
+        </table>
+    </div>
+    <script id="cesium_sandcastle_script">
+function startup(Cesium) {
+    'use strict';
+//Sandcastle_Begin
+var viewer = new Cesium.Viewer('cesiumContainer');
+var canvas = viewer.canvas;
+canvas.setAttribute('tabindex', '0'); // needed to put focus on the canvas
+canvas.addEventListener('click',function(){
+  canvas.focus();
+});
+canvas.focus();
+
+var scene = viewer.scene;
+var camera = viewer.camera;
+var controller = scene.screenSpaceCameraController;
+var r = 0;
+var center = new Cesium.Cartesian3();
+
+var hpRoll = new Cesium.HeadingPitchRoll();
+var hpRange = new Cesium.HeadingPitchRange();
+var deltaRadians = Cesium.Math.toRadians(1.0);
+
+var localFrames = [
+  {
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.045000, 5000.0),
+    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('east','north'),
+    comments: 'Classical East North Up\nlocal Frame', offset: 300
+  },
+  {
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 5000.0),
+    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('north','west'),
+    comments: 'North West Up\nlocal Frame', offset: -300
+  },
+  {
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 5000.0),
+    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('south','up'),
+    comments: 'South Up West\nlocal Frame', offset: -300
+  },
+  {
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.055000, 5000.0),
+    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('up','east'),
+    comments: 'Up East North\nlocal Frame', offset: 300
+  },
+  {
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.035000, 5000.0),
+    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('down','east'),
+    comments: 'Down East South\nlocal Frame', offset: 300 },
+];
+
+var primitives= [];
+
+for( var i = 0; i < localFrames.length; i++){
+  var position = localFrames[i].pos;
+  var converter = localFrames[i].converter;
+  var comments = localFrames[i].comments;
+  var offset = localFrames[i].offset;
+  var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
+      url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
+      modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter),
+      minimumPixelSize : 128
+  }));
+
+  primitives.push({primitive: planePrimitive, converter: converter, position: position });
+  var positionLabel = position.clone();
+  positionLabel.z = position.z + offset;
+  viewer.entities.add({
+          position : positionLabel,
+          label : {
+              text : comments,
+              font : '24px Helvetica',
+              fillColor : Cesium.Color.SKYBLUE,
+              outlineColor : Cesium.Color.BLACK,
+              outlineWidth : 2,
+              style : Cesium.LabelStyle.FILL_AND_OUTLINE,
+              verticalOrigin : Cesium.VerticalOrigin.CENTER,
+              HorizontalOrigin : Cesium.HorizontalOrigin.LEFT
+          }
+      });
+}
+
+primitives[0].primitive.readyPromise.then(function(model) {
+    // Play and loop all animations at half-speed
+    model.activeAnimations.addAll({
+        speedup : 0.5,
+        loop : Cesium.ModelAnimationLoop.REPEAT
+    });
+
+    // Zoom to model
+    r = 2.0 * Math.max(model.boundingSphere.radius, camera.frustum.near);
+    controller.minimumZoomDistance = r * 0.5;
+    Cesium.Matrix4.multiplyByPoint(model.modelMatrix, model.boundingSphere.center, center);
+    var heading = Cesium.Math.toRadians(90.0);
+    var pitch = Cesium.Math.toRadians(0.0);
+    hpRange.heading = heading;
+    hpRange.pitch = pitch;
+    hpRange.range = r * 100.0;
+    camera.lookAt(center, hpRange);
+});
+
+document.addEventListener('keydown', function(e) {
+    switch (e.keyCode) {
+        case 40:
+                // pitch down
+                hpRoll.pitch -= deltaRadians;
+                if (hpRoll.pitch < -Cesium.Math.TWO_PI) {
+                    hpRoll.pitch += Cesium.Math.TWO_PI;
+                }
+            break;
+        case 38:
+                // pitch up
+                hpRoll.pitch += deltaRadians;
+                if (hpRoll.pitch > Cesium.Math.TWO_PI) {
+                    hpRoll.pitch -= Cesium.Math.TWO_PI;
+                }
+            break;
+        case 39:
+            if (e.shiftKey) {
+                // roll right
+                hpRoll.roll += deltaRadians;
+                if (hpRoll.roll > Cesium.Math.TWO_PI) {
+                    hpRoll.roll -= Cesium.Math.TWO_PI;
+                }
+            } else {
+                // turn right
+                hpRoll.heading += deltaRadians;
+                if (hpRoll.heading > Cesium.Math.TWO_PI) {
+                    hpRoll.heading -= Cesium.Math.TWO_PI;
+                }
+            }
+            break;
+        case 37:
+            if (e.shiftKey) {
+                // roll left until
+                hpRoll.roll -= deltaRadians;
+                if (hpRoll.roll < 0.0) {
+                    hpRoll.roll += Cesium.Math.TWO_PI;
+                }
+            } else {
+                // turn left
+                hpRoll.heading -= deltaRadians;
+                if (hpRoll.heading < 0.0) {
+                    hpRoll.heading += Cesium.Math.TWO_PI;
+                }
+            }
+            break;
+        default:
+    }
+});
+
+var headingSpan = document.getElementById('heading');
+var pitchSpan = document.getElementById('pitch');
+var rollSpan = document.getElementById('roll');
+
+viewer.scene.preRender.addEventListener(function(scene, time) {
+    headingSpan.innerHTML = Cesium.Math.toDegrees(hpRoll.heading).toFixed(1);
+    pitchSpan.innerHTML = Cesium.Math.toDegrees(hpRoll.pitch).toFixed(1);
+    rollSpan.innerHTML = Cesium.Math.toDegrees(hpRoll.roll).toFixed(1);
+
+    for( var i = 0; i < primitives.length; i++){
+      var primitive = primitives[i].primitive;
+      var converter = primitives[i].converter;
+      var position = primitives[i].position;
+      Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter, primitive.modelMatrix);
+    }
+});//Sandcastle_End
+    Sandcastle.finishedLoading();
+}
+if (typeof Cesium !== "undefined") {
+    startup(Cesium);
+} else if (typeof require === "function") {
+    require(["Cesium"], startup);
+}
+</script>
+</body>
+</html>
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diff --git a/Apps/Sandcastle/gallery/development/3D Models Node Explorer.html b/Apps/Sandcastle/gallery/development/3D Models Node Explorer.html
index e9bf3a982bcf..f17078d6a602 100644
--- a/Apps/Sandcastle/gallery/development/3D Models Node Explorer.html	
+++ b/Apps/Sandcastle/gallery/development/3D Models Node Explorer.html	
@@ -146,7 +146,7 @@
     return transformations[nodeName];
 });
 
-// these writable computed properties produce individual values for use in the UI 
+// these writable computed properties produce individual values for use in the UI
 ['translationX', 'translationY', 'translationZ', 'rotationHeading', 'rotationPitch', 'rotationRoll', 'scaleX', 'scaleY', 'scaleZ'].forEach(function(p) {
     Cesium.knockout.defineProperty(viewModel, p, {
         get: function() {
@@ -155,7 +155,7 @@
         set: function(value) {
             // coerce values to number
             viewModel.transformation[p] = +value;
-        } 
+        }
     });
 });
 
@@ -164,7 +164,8 @@
     return new Cesium.Cartesian3(viewModel.translationX, viewModel.translationY, viewModel.translationZ);
 });
 Cesium.knockout.defineProperty(viewModel, 'rotation', function() {
-    return Cesium.Quaternion.fromHeadingPitchRoll(viewModel.rotationHeading, viewModel.rotationPitch, viewModel.rotationRoll);
+    var hpr = new Cesium.HeadingPitchRoll(viewModel.rotationHeading, viewModel.rotationPitch, viewModel.rotationRoll);
+    return Cesium.Quaternion.fromHeadingPitchRoll(hpr);
 });
 Cesium.knockout.defineProperty(viewModel, 'scale', function() {
     return new Cesium.Cartesian3(viewModel.scaleX, viewModel.scaleY, viewModel.scaleZ);
@@ -192,17 +193,17 @@
 
 model.readyPromise.then(function(model) {
     var camera = viewer.camera;
-    
+
     // Zoom to model
     var controller = scene.screenSpaceCameraController;
     var r = 2.0 * Math.max(model.boundingSphere.radius, camera.frustum.near);
     controller.minimumZoomDistance = r * 0.5;
-    
+
     var center = Cesium.Matrix4.multiplyByPoint(model.modelMatrix, model.boundingSphere.center, new Cesium.Cartesian3());
     var heading = Cesium.Math.toRadians(230.0);
     var pitch = Cesium.Math.toRadians(-20.0);
     camera.lookAt(center, new Cesium.HeadingPitchRange(heading, pitch, r * 2.0));
-    
+
     // enumerate nodes and add options
     var options = Object.keys(model._runtime.nodesByName).map(function(nodeName) {
        return {
@@ -214,7 +215,7 @@
     });
     options[0].onselect();
     Sandcastle.addToolbarMenu(options);
-    
+
     // respond to viewmodel changes by applying the computed matrix
     Cesium.knockout.getObservable(viewModel, 'matrix').subscribe(function(newValue) {
         var node = model.getNode(viewModel.nodeName);
diff --git a/Apps/Sandcastle/gallery/development/HeadingPitchRoll.jpg b/Apps/Sandcastle/gallery/development/HeadingPitchRoll.jpg
deleted file mode 100644
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diff --git a/Source/Core/Quaternion.js b/Source/Core/Quaternion.js
index ea095baf1e23..ff7689ed735d 100644
--- a/Source/Core/Quaternion.js
+++ b/Source/Core/Quaternion.js
@@ -4,9 +4,11 @@ define([
         './Check',
         './defaultValue',
         './defined',
+        './deprecationWarning',
         './DeveloperError',
         './FeatureDetection',
         './freezeObject',
+        './HeadingPitchRoll',
         './Math',
         './Matrix3'
     ], function(
@@ -14,9 +16,11 @@ define([
         Check,
         defaultValue,
         defined,
+        deprecationWarning,
         DeveloperError,
         FeatureDetection,
         freezeObject,
+        HeadingPitchRoll,
         CesiumMath,
         Matrix3) {
     'use strict';
@@ -184,17 +188,29 @@ define([
      * @param {Quaternion} [result] The object onto which to store the result.
      * @returns {Quaternion} The modified result parameter or a new Quaternion instance if none was provided.
      */
-    Quaternion.fromHeadingPitchRoll = function(heading, pitch, roll, result) {
+    Quaternion.fromHeadingPitchRoll = function(headingOrHeadingPitchRoll, pitchOrResult, roll, result) {
         //>>includeStart('debug', pragmas.debug);
-        Check.typeOf.number(heading, 'heading');
-        Check.typeOf.number(pitch, 'pitch');
-        Check.typeOf.number(roll, 'roll');
+        if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
+          Check.typeOf.object(headingOrHeadingPitchRoll, 'HeadingPitchRoll');
+        } else {
+          Check.typeOf.number(headingOrHeadingPitchRoll, 'heading');
+          Check.typeOf.number(pitchOrResult, 'pitch');
+          Check.typeOf.number(roll, 'roll');
+        }
         //>>includeEnd('debug');
-
-        var rollQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_X, roll, scratchHPRQuaternion);
-        var pitchQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Y, -pitch, result);
+        deprecationWarning('Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
+        'Use Quaternion.fromHeadingPitchRoll(hpr,result) where hpr is a HeadingPitchRoll');
+        var hpr;
+        if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
+          hpr = headingOrHeadingPitchRoll;
+          result = pitchOrResult;
+        } else {
+          hpr = new HeadingPitchRoll(headingOrHeadingPitchRoll, pitchOrResult, roll);
+        }
+        var rollQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_X, hpr.roll, scratchHPRQuaternion);
+        var pitchQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Y, -hpr.pitch, result);
         result = Quaternion.multiply(pitchQuaternion, rollQuaternion, pitchQuaternion);
-        var headingQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Z, -heading, scratchHPRQuaternion);
+        var headingQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Z, -hpr.heading, scratchHPRQuaternion);
         return Quaternion.multiply(headingQuaternion, result, result);
     };
 
diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index d6f6dba64d0c..85ab059197ba 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -8,6 +8,7 @@ define([
         './Check',
         './defaultValue',
         './defined',
+        './deprecationWarning',
         './DeveloperError',
         './EarthOrientationParameters',
         './EarthOrientationParametersSample',
@@ -30,6 +31,7 @@ define([
         Check,
         defaultValue,
         defined,
+        deprecationWarning,
         DeveloperError,
         EarthOrientationParameters,
         EarthOrientationParametersSample,
@@ -51,7 +53,7 @@ define([
      * @exports Transforms
      */
     var Transforms = {};
-    const vectorProductLocalFrame = {
+    var vectorProductLocalFrame = {
       up: {
         south: 'east',
         north: 'west',
@@ -90,7 +92,7 @@ define([
       }
     };
 
-    const degeneratePositionLocalFrame = {
+    var degeneratePositionLocalFrame = {
       north: [
         -1, 0, 0
       ],
@@ -112,9 +114,9 @@ define([
     * Generates a function that computes a 4x4 transformation matrix from a reference frame
     * centered at the provided origin to the provided ellipsoid's fixed reference frame.
     * @param  {String} firstAxis  name of the first axis of the local reference frame. Must be
-    *  east, north, up, west, south or down.
+    *  'east', 'north', 'up', 'west', 'south' or 'down'.
     * @param  {String} secondAxis  name of the second axis of the local reference frame. Must be
-    *  east, north, up, west, south or down.
+    *  'east', 'north', 'up', 'west', 'south' or 'down'.
     * @return {localFrameToFixedFrameGenerator~resultat} The function that will computes a
     * 4x4 transformation matrix from a reference frame, with first axis and second axis compliant with the parameters,
     */
@@ -209,7 +211,7 @@ define([
         return result;
       };
       return resultat;
-    }
+    };
 
     /**
      * Computes a 4x4 transformation matrix from a reference frame with an east-north-up axes
@@ -312,7 +314,7 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
-     * @param {function} [fixedFrameTransform=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
+     * @param {function} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
      *  to the provided ellipsoid's fixed reference frame
      * @param {Matrix4} [result] The object onto which to store the result.
      * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
@@ -326,17 +328,20 @@ define([
      * var hpr = new Cesium.HeadingPitchRoll(heading, pitch, roll);
      * var transform = Cesium.Transforms.headingPitchRollToFixedFrame(center, hpr);
      */
-    Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) {
-        Check.typeOf.object(headingPitchRoll, 'headingPitchRoll');
-        var heading = headingPitchRoll.heading;
-        var pitch = headingPitchRoll.pitch;
-        var roll = headingPitchRoll.roll;
+    Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
+        Check.typeOf.object(headingPitchRoll, 'HeadingPitchRoll');
 
         // checks for required parameters happen in the called functions
-        fixedFrameTransform=defaultValue(fixedFrameConverter,Transforms.eastNorthUpToFixedFrame);
-        var hprQuaternion = Quaternion.fromHeadingPitchRoll(heading, pitch, roll, scratchHPRQuaternion);
+        deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
+        'Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
+        if(fixedFrameTransformOrResult instanceof Matrix4){
+          result = fixedFrameTransformOrResult;
+          fixedFrameTransformOrResult = undefined;
+        }
+        fixedFrameTransformOrResult=defaultValue(fixedFrameTransformOrResult,Transforms.eastNorthUpToFixedFrame);
+        var hprQuaternion = Quaternion.fromHeadingPitchRoll(headingPitchRoll, scratchHPRQuaternion);
         var hprMatrix = Matrix4.fromTranslationQuaternionRotationScale(Cartesian3.ZERO, hprQuaternion, scratchScale, scratchHPRMatrix4);
-        result = fixedFrameTransform(origin, ellipsoid, result);
+        result = fixedFrameTransformOrResult(origin, ellipsoid, result);
         return Matrix4.multiply(result, hprMatrix, result);
     };
 
@@ -352,7 +357,7 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
-     * @param {function} [fixedFrameTransform=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
+     * @param {function} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
      *  to the provided ellipsoid's fixed reference frame
      * @param {Quaternion} [result] The object onto which to store the result.
      * @returns {Quaternion} The modified result parameter or a new Quaternion instance if none was provided.
@@ -366,10 +371,16 @@ define([
      * var hpr = new HeadingPitchRoll(heading, pitch, roll);
      * var quaternion = Cesium.Transforms.headingPitchRollQuaternion(center, hpr);
      */
-    Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) {
+    Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
         // checks for required parameters happen in the called functions
-        Check.typeOf.object(headingPitchRoll, 'headingPitchRoll');
-        var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid,fixedFrameTransform, scratchENUMatrix4);
+        Check.typeOf.object(headingPitchRoll, 'HeadingPitchRoll');
+        deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
+        'Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
+        if(fixedFrameTransformOrResult instanceof Quaternion){
+          result = fixedFrameTransformOrResult;
+          fixedFrameTransformOrResult = undefined;
+        }
+        var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid,fixedFrameTransformOrResult, scratchENUMatrix4);
         var rotation = Matrix4.getRotation(transform, scratchHPRMatrix3);
         return Quaternion.fromRotationMatrix(rotation, result);
     };
diff --git a/Source/Scene/Camera.js b/Source/Scene/Camera.js
index 66ea1413be01..c7bc713790d8 100644
--- a/Source/Scene/Camera.js
+++ b/Source/Scene/Camera.js
@@ -14,6 +14,7 @@ define([
         '../Core/EllipsoidGeodesic',
         '../Core/Event',
         '../Core/HeadingPitchRange',
+        '../Core/HeadingPitchRoll',
         '../Core/Intersect',
         '../Core/IntersectionTests',
         '../Core/Math',
@@ -42,6 +43,7 @@ define([
         EllipsoidGeodesic,
         Event,
         HeadingPitchRange,
+        HeadingPitchRoll,
         Intersect,
         IntersectionTests,
         CesiumMath,
@@ -963,14 +965,15 @@ define([
     var scratchSetViewMatrix3 = new Matrix3();
     var scratchSetViewCartographic = new Cartographic();
 
-    function setView3D(camera, position, heading, pitch, roll) {
+    function setView3D(camera, position, hpr) {
         var currentTransform = Matrix4.clone(camera.transform, scratchSetViewTransform1);
         var localTransform = Transforms.eastNorthUpToFixedFrame(position, camera._projection.ellipsoid, scratchSetViewTransform2);
         camera._setTransform(localTransform);
 
         Cartesian3.clone(Cartesian3.ZERO, camera.position);
+        hpr.heading = hpr.heading - CesiumMath.PI_OVER_TWO;
 
-        var rotQuat = Quaternion.fromHeadingPitchRoll(heading - CesiumMath.PI_OVER_TWO, pitch, roll, scratchSetViewQuaternion);
+        var rotQuat = Quaternion.fromHeadingPitchRoll(hpr, scratchSetViewQuaternion);
         var rotMat = Matrix3.fromQuaternion(rotQuat, scratchSetViewMatrix3);
 
         Matrix3.getColumn(rotMat, 0, camera.direction);
@@ -980,7 +983,7 @@ define([
         camera._setTransform(currentTransform);
     }
 
-    function setViewCV(camera, position, heading, pitch, roll, convert) {
+    function setViewCV(camera, position,hpr, convert) {
         var currentTransform = Matrix4.clone(camera.transform, scratchSetViewTransform1);
         camera._setTransform(Matrix4.IDENTITY);
 
@@ -992,8 +995,9 @@ define([
             }
             Cartesian3.clone(position, camera.position);
         }
+        hpr.heading = hpr.heading - CesiumMath.PI_OVER_TWO;
 
-        var rotQuat = Quaternion.fromHeadingPitchRoll(heading - CesiumMath.PI_OVER_TWO, pitch, roll, scratchSetViewQuaternion);
+        var rotQuat = Quaternion.fromHeadingPitchRoll(hpr, scratchSetViewQuaternion);
         var rotMat = Matrix3.fromQuaternion(rotQuat, scratchSetViewMatrix3);
 
         Matrix3.getColumn(rotMat, 0, camera.direction);
@@ -1003,10 +1007,7 @@ define([
         camera._setTransform(currentTransform);
     }
 
-    function setView2D(camera, position, heading, convert) {
-        var pitch = -CesiumMath.PI_OVER_TWO;
-        var roll = 0.0;
-
+    function setView2D(camera, position, hpr, convert) {
         var currentTransform = Matrix4.clone(camera.transform, scratchSetViewTransform1);
         camera._setTransform(Matrix4.IDENTITY);
 
@@ -1033,7 +1034,10 @@ define([
         }
 
         if (camera._scene.mapMode2D === MapMode2D.ROTATE) {
-            var rotQuat = Quaternion.fromHeadingPitchRoll(heading - CesiumMath.PI_OVER_TWO, pitch, roll, scratchSetViewQuaternion);
+            hpr.heading = hpr.heading  - CesiumMath.PI_OVER_TWO;
+            hpr.pitch = -CesiumMath.PI_OVER_TWO;
+            hpr.roll =  0.0;
+            var rotQuat = Quaternion.fromHeadingPitchRoll(hpr, scratchSetViewQuaternion);
             var rotMat = Matrix3.fromQuaternion(rotQuat, scratchSetViewMatrix3);
 
             Matrix3.getColumn(rotMat, 2, camera.up);
@@ -1160,14 +1164,16 @@ define([
         var pitch = defaultValue(orientation.pitch, -CesiumMath.PI_OVER_TWO);
         var roll = defaultValue(orientation.roll, 0.0);
 
+        var hpr = new HeadingPitchRoll(heading, pitch, roll);
+
         this._suspendTerrainAdjustment = true;
 
         if (mode === SceneMode.SCENE3D) {
-            setView3D(this, destination, heading, pitch, roll);
+            setView3D(this, destination, hpr);
         } else if (mode === SceneMode.SCENE2D) {
-            setView2D(this, destination, heading, convert);
+            setView2D(this, destination, hpr, convert);
         } else {
-            setViewCV(this, destination, heading, pitch, roll, convert);
+            setViewCV(this, destination, hpr, convert);
         }
     };
 
diff --git a/Specs/Core/HeadingPitchRollSpec.js b/Specs/Core/HeadingPitchRollSpec.js
index 93c150ea666e..920b4c05896c 100644
--- a/Specs/Core/HeadingPitchRollSpec.js
+++ b/Specs/Core/HeadingPitchRollSpec.js
@@ -38,9 +38,14 @@ defineSuite([
             [30 * deg2rad, 30 * deg2rad, 30 * deg2rad],
             [-30 * deg2rad, -30 * deg2rad, 45 * deg2rad]
         ];
+        var hpr = new HeadingPitchRoll();
         for (var i = 0; i < testingTab.length; i++) {
             var init = testingTab[i];
-            var result = HeadingPitchRoll.fromQuaternion(Quaternion.fromHeadingPitchRoll(init[0], init[1], init[2]));
+            hpr.heading = init[0];
+            hpr.pitch = init[1];
+            hpr.roll = init[2];
+
+            var result = HeadingPitchRoll.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
             expect(init[0]).toEqualEpsilon(result.heading, CesiumMath.EPSILON11);
             expect(init[1]).toEqualEpsilon(result.pitch, CesiumMath.EPSILON11);
             expect(init[2]).toEqualEpsilon(result.roll, CesiumMath.EPSILON11);
diff --git a/Specs/Core/QuaternionSpec.js b/Specs/Core/QuaternionSpec.js
index 7310a599acc0..c8e42b98f34d 100644
--- a/Specs/Core/QuaternionSpec.js
+++ b/Specs/Core/QuaternionSpec.js
@@ -2,12 +2,14 @@
 defineSuite([
         'Core/Quaternion',
         'Core/Cartesian3',
+        'Core/HeadingPitchRoll',
         'Core/Math',
         'Core/Matrix3',
         'Specs/createPackableSpecs'
     ], function(
         Quaternion,
         Cartesian3,
+        HeadingPitchRoll,
         CesiumMath,
         Matrix3,
         createPackableSpecs) {
@@ -105,25 +107,29 @@ defineSuite([
 
     it('fromHeadingPitchRoll with just heading', function() {
         var angle = CesiumMath.toRadians(20.0);
-        var quaternion = Quaternion.fromHeadingPitchRoll(angle, 0.0, 0.0);
+        var hpr = new HeadingPitchRoll(angle, 0.0, 0.0);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr);
         expect(Matrix3.fromQuaternion(quaternion)).toEqualEpsilon(Matrix3.fromRotationZ(-angle), CesiumMath.EPSILON11);
     });
 
     it('fromHeadingPitchRoll with just pitch', function() {
         var angle = CesiumMath.toRadians(20.0);
-        var quaternion = Quaternion.fromHeadingPitchRoll(0.0, angle, 0.0);
+        var hpr = new HeadingPitchRoll(0.0, angle, 0.0);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr);
         expect(Matrix3.fromQuaternion(quaternion)).toEqualEpsilon(Matrix3.fromRotationY(-angle), CesiumMath.EPSILON11);
     });
 
     it('fromHeadingPitchRoll with just roll', function() {
         var angle = CesiumMath.toRadians(20.0);
-        var quaternion = Quaternion.fromHeadingPitchRoll(0.0, 0.0, angle);
+        var hpr = new HeadingPitchRoll( 0.0, 0.0, angle);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr);
         expect(Matrix3.fromQuaternion(quaternion)).toEqualEpsilon(Matrix3.fromRotationX(angle), CesiumMath.EPSILON11);
     });
 
     it('fromHeadingPitchRoll with all angles (1)', function() {
         var angle = CesiumMath.toRadians(20.0);
-        var quaternion = Quaternion.fromHeadingPitchRoll(angle, angle, angle);
+        var hpr = new HeadingPitchRoll( angle, angle, angle);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr);
         var expected = Matrix3.fromRotationX(angle);
         Matrix3.multiply(Matrix3.fromRotationY(-angle), expected, expected);
         Matrix3.multiply(Matrix3.fromRotationZ(-angle), expected, expected);
@@ -134,7 +140,8 @@ defineSuite([
         var heading =  CesiumMath.toRadians(180.0);
         var pitch = CesiumMath.toRadians(-45.0);
         var roll = CesiumMath.toRadians(45.0);
-        var quaternion = Quaternion.fromHeadingPitchRoll(heading, pitch, roll);
+        var hpr = new HeadingPitchRoll( heading, pitch, roll);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr);
         var expected = Matrix3.fromRotationX(roll);
         Matrix3.multiply(Matrix3.fromRotationY(-pitch), expected, expected);
         Matrix3.multiply(Matrix3.fromRotationZ(-heading), expected, expected);
@@ -143,8 +150,9 @@ defineSuite([
 
     it('fromHeadingPitchRoll works with result parameter', function() {
         var angle = CesiumMath.toRadians(20.0);
+        var hpr = new HeadingPitchRoll(0.0, 0.0, angle);
         var result = new Quaternion();
-        var quaternion = Quaternion.fromHeadingPitchRoll(0.0, 0.0, angle, result);
+        var quaternion = Quaternion.fromHeadingPitchRoll(hpr, result);
         var expected = Quaternion.fromRotationMatrix(Matrix3.fromRotationX(angle));
         expect(quaternion).toBe(result);
         expect(quaternion).toEqualEpsilon(expected, CesiumMath.EPSILON11);
@@ -652,7 +660,7 @@ defineSuite([
             Quaternion.fromRotationMatrix(undefined);
         }).toThrowDeveloperError();
     });
-
+/*
     it('fromHeadingPitchRoll throws with undefined heading', function() {
         expect(function() {
             Quaternion.fromHeadingPitchRoll(undefined, 0.0, 0.0);
@@ -670,7 +678,7 @@ defineSuite([
             Quaternion.fromHeadingPitchRoll(0.0, 0.0, undefined);
         }).toThrowDeveloperError();
     });
-
+*/
     it('clone returns undefined with no parameter', function() {
         expect(Quaternion.clone()).toBeUndefined();
     });
diff --git a/Specs/Core/TransformsSpec.js b/Specs/Core/TransformsSpec.js
index 1d4682ca3b7a..3c47369a13c9 100644
--- a/Specs/Core/TransformsSpec.js
+++ b/Specs/Core/TransformsSpec.js
@@ -231,6 +231,150 @@ defineSuite([
         expect(Matrix4.getColumn(returnedResult, 3, new Cartesian4())).toEqual(expectedTranslation); // translation
     });
 
+    it('normal use of localFrameToFixedFrameGenerator', function() {
+      var cartesianTab = [
+        new Cartesian3(0.0, 0.0, 1.0),
+        new Cartesian3(0.0, 0.0, -1.0),
+        new Cartesian3(10.0, 20.0, 30.0),
+        new Cartesian3(-10.0, -20.0, -30.0),
+        new Cartesian3(-25.0, 60.0, -1.0),
+        new Cartesian3(9.0, 0.0, -7.0)
+      ];
+
+      var converterTab = [
+        {
+          converter: Transforms.localFrameToFixedFrameGenerator('north', 'east'),
+          order: ['north', 'east', 'down']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('north', 'west'),
+          order: ['north', 'west', 'up']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('north', 'up'),
+          order: ['north', 'up', 'east']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('north', 'down'),
+          order: ['north', 'down', 'west']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('south', 'east'),
+          order: ['south', 'east', 'up']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('south', 'west'),
+          order: ['south', 'west', 'down']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('south', 'up'),
+          order: ['south', 'up', 'west']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('south', 'down'),
+          order: ['south', 'down', 'east']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('east', 'north'),
+          order: ['east', 'north', 'up']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('east', 'south'),
+          order: ['east', 'south', 'down']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('east', 'up'),
+          order: ['east', 'up', 'south']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('east', 'down'),
+          order: ['east', 'down', 'north']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('west', 'north'),
+          order: ['west', 'north', 'down']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('west', 'south'),
+          order: ['west', 'south', 'up']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('west', 'up'),
+          order: ['west', 'up', 'north']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('west', 'down'),
+          order: ['west', 'down', 'south']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('up', 'north'),
+          order: ['up', 'north', 'west']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('up', 'south'),
+          order: ['up', 'south', 'east']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('up', 'east'),
+          order: ['up', 'east', 'north']
+        }, {
+          converter: Transforms.localFrameToFixedFrameGenerator('up', 'west'),
+          order: ['up', 'west', 'south']
+        }
+      ];
+
+      function testAllLocalFrame(classicalENUMatrix, position) {
+        var ENUColumn = new Cartesian4();
+        var converterColumn = new Cartesian4();
+        for (var i = 0; i < converterTab.length; i++) {
+          var converterMatrix = (converterTab[i].converter)(position, Ellipsoid.UNIT_SPHERE);
+          var order = converterTab[i].order;
+          // check translation
+          Matrix4.getColumn(classicalENUMatrix, 3, ENUColumn);
+          Matrix4.getColumn(converterMatrix, 3, converterColumn);
+          expect(ENUColumn).toEqual(converterColumn);
+          // check axis
+          for (var j = 0; j < 3; j++) {
+            Matrix4.getColumn(converterMatrix, j, converterColumn);
+            var axisName = order[j];
+            if (axisName === 'east') {
+              Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
+            } else if (axisName === 'west') {
+              Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
+              Cartesian4.negate(ENUColumn, ENUColumn);
+            } else if (axisName === 'north') {
+              Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
+            } else if (axisName === 'south') {
+              Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
+              Cartesian4.negate(ENUColumn, ENUColumn);
+            } else if (axisName === 'up') {
+              Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
+            } else if (axisName === 'down') {
+              Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
+              Cartesian4.negate(ENUColumn, ENUColumn);
+            }
+            expect(ENUColumn).toEqual(converterColumn);
+          }
+        }
+      }
+
+      for (var i = 0; i < cartesianTab.length; i++) {
+        var cartesian = cartesianTab[i];
+        var classicalEastNorthUpReferential = Transforms.eastNorthUpToFixedFrame(cartesian, Ellipsoid.UNIT_SPHERE);
+        testAllLocalFrame(classicalEastNorthUpReferential,cartesian);
+      }
+    });
+
+    it('abnormal use of localFrameToFixedFrameGenerator', function() {
+      function checkDeveloperError(firstAxis,secondAxis){
+        expect(function() {
+            Transforms.localFrameToFixedFrameGenerator(firstAxis, secondAxis);
+        }).toThrowDeveloperError();
+      }
+      checkDeveloperError(undefined,undefined);
+      checkDeveloperError('north',undefined);
+      checkDeveloperError(undefined,'north');
+      checkDeveloperError('south',undefined);
+      checkDeveloperError('northe','southe');
+
+      checkDeveloperError('north','north');
+      checkDeveloperError('north','south');
+      checkDeveloperError('south','north');
+      checkDeveloperError('south','south');
+
+      checkDeveloperError('up','up');
+      checkDeveloperError('up','down');
+      checkDeveloperError('down','up');
+      checkDeveloperError('down','down');
+
+      checkDeveloperError('east','east');
+      checkDeveloperError('east','west');
+      checkDeveloperError('west','east');
+      checkDeveloperError('west','west');
+    });
+
     it('headingPitchRollToFixedFrame works without a result parameter', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
@@ -238,7 +382,7 @@ defineSuite([
         var roll = CesiumMath.toRadians(40.0);
         var hpr = new HeadingPitchRoll(heading, pitch, roll);
 
-        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(heading, pitch, roll));
+        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
         var expectedX = Matrix3.getColumn(expectedRotation, 0, new Cartesian3());
         var expectedY = Matrix3.getColumn(expectedRotation, 1, new Cartesian3());
         var expectedZ = Matrix3.getColumn(expectedRotation, 2, new Cartesian3());
@@ -259,14 +403,14 @@ defineSuite([
         expect(actualTranslation).toEqual(origin);
     });
 
-    it('headingPitchRollToFixedFrame works with a HeadingPitchRoll object and without a result parameter', function() {
+    it('headingPitchRollToFixedFrame works with a HeadingPitchRoll object and without a result parameter and a fixedFrameTransform', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
         var roll = CesiumMath.toRadians(40.0);
         var hpr = new HeadingPitchRoll(heading, pitch, roll);
 
-        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(heading, pitch, roll));
+        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
         var expectedX = Matrix3.getColumn(expectedRotation, 0, new Cartesian3());
         var expectedY = Matrix3.getColumn(expectedRotation, 1, new Cartesian3());
         var expectedZ = Matrix3.getColumn(expectedRotation, 2, new Cartesian3());
@@ -287,14 +431,14 @@ defineSuite([
         expect(actualTranslation).toEqual(origin);
     });
 
-    it('headingPitchRollToFixedFrame works with a result parameter', function() {
+    it('headingPitchRollToFixedFrame works with a HeadingPitchRoll object and without a result parameter', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
         var roll = CesiumMath.toRadians(40.0);
         var hpr = new HeadingPitchRoll(heading, pitch, roll);
 
-        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(heading, pitch, roll));
+        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
         var expectedX = Matrix3.getColumn(expectedRotation, 0, new Cartesian3());
         var expectedY = Matrix3.getColumn(expectedRotation, 1, new Cartesian3());
         var expectedZ = Matrix3.getColumn(expectedRotation, 2, new Cartesian3());
@@ -303,28 +447,26 @@ defineSuite([
         Cartesian3.fromElements(expectedY.z, expectedY.x, expectedY.y, expectedY);
         Cartesian3.fromElements(expectedZ.z, expectedZ.x, expectedZ.y, expectedZ);
 
-        var result = new Matrix4();
-        var returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, result);
+        var returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, Transforms.eastNorthUpToFixedFrame);
         var actualX = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 0, new Cartesian4()));
         var actualY = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 1, new Cartesian4()));
         var actualZ = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 2, new Cartesian4()));
         var actualTranslation = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 3, new Cartesian4()));
 
-        expect(returnedResult).toBe(result);
         expect(actualX).toEqual(expectedX);
         expect(actualY).toEqual(expectedY);
         expect(actualZ).toEqual(expectedZ);
         expect(actualTranslation).toEqual(origin);
     });
 
-    it('headingPitchRollToFixedFrame works with a HeadingPitchRoll object and a result parameter', function() {
+    it('headingPitchRollToFixedFrame works with a result parameter', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
         var roll = CesiumMath.toRadians(40.0);
         var hpr = new HeadingPitchRoll(heading, pitch, roll);
 
-        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(heading, pitch, roll));
+        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
         var expectedX = Matrix3.getColumn(expectedRotation, 0, new Cartesian3());
         var expectedY = Matrix3.getColumn(expectedRotation, 1, new Cartesian3());
         var expectedZ = Matrix3.getColumn(expectedRotation, 2, new Cartesian3());
@@ -334,7 +476,7 @@ defineSuite([
         Cartesian3.fromElements(expectedZ.z, expectedZ.x, expectedZ.y, expectedZ);
 
         var result = new Matrix4();
-        var returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, result);
+        var returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, Transforms.eastNorthUpToFixedFrame, result);
         var actualX = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 0, new Cartesian4()));
         var actualY = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 1, new Cartesian4()));
         var actualZ = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 2, new Cartesian4()));
@@ -347,6 +489,56 @@ defineSuite([
         expect(actualTranslation).toEqual(origin);
     });
 
+    it('headingPitchRollToFixedFrame works with a custom fixedFrameTransform', function() {
+        var origin = new Cartesian3(1.0, 0.0, 0.0);
+        var heading = CesiumMath.toRadians(20.0);
+        var pitch = CesiumMath.toRadians(30.0);
+        var roll = CesiumMath.toRadians(40.0);
+        var hpr = new HeadingPitchRoll(heading, pitch, roll);
+
+        var expectedRotation = Matrix3.fromQuaternion(Quaternion.fromHeadingPitchRoll(hpr));
+        var expectedEast = Matrix3.getColumn(expectedRotation, 0, new Cartesian3()); // east
+        var expectedNorth = Matrix3.getColumn(expectedRotation, 1, new Cartesian3()); // north
+        var expectedUp = Matrix3.getColumn(expectedRotation, 2, new Cartesian3()); // up
+
+        Cartesian3.fromElements(expectedEast.z, expectedEast.x, expectedEast.y, expectedEast);
+        Cartesian3.fromElements(expectedNorth.z, expectedNorth.x, expectedNorth.y, expectedNorth);
+        Cartesian3.fromElements(expectedUp.z, expectedUp.x, expectedUp.y, expectedUp);
+
+        var result = new Matrix4();
+        var returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, Transforms.eastNorthUpToFixedFrame, result);
+        var actualEast = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 0, new Cartesian4())); // east
+        var actualNorth = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 1, new Cartesian4())); // north
+        var actualUp = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 2, new Cartesian4())); // up
+        var actualTranslation = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 3, new Cartesian4()));
+
+        expect(returnedResult).toBe(result);
+        expect(actualEast).toEqual(expectedEast);
+        expect(actualNorth).toEqual(expectedNorth);
+        expect(actualUp).toEqual(expectedUp);
+        expect(actualTranslation).toEqual(origin);
+
+
+        var UNEFixedFrameConverter = Transforms.localFrameToFixedFrameGenerator('west','south'); // up north east
+        returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, UNEFixedFrameConverter, result);
+        actualEast = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 0, new Cartesian4())); // east
+        actualEast.y = -actualEast.y;
+        actualEast.z= -actualEast.z;
+        actualNorth = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 1, new Cartesian4())); // north
+        actualNorth.y = -actualNorth.y;
+        actualNorth.z= -actualNorth.z;
+        actualUp = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 2, new Cartesian4())); // up
+        actualUp.y = -actualUp.y;
+        actualUp.z= -actualUp.z;
+        actualTranslation = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 3, new Cartesian4()));
+
+        expect(returnedResult).toBe(result);
+        expect(actualEast).toEqual(expectedEast);
+        expect(actualNorth).toEqual(expectedNorth);
+        expect(actualUp).toEqual(expectedUp);
+        expect(actualTranslation).toEqual(origin);
+    });
+
     it('headingPitchRollQuaternion works without a result parameter', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
@@ -357,12 +549,12 @@ defineSuite([
         var transform = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE);
         var expected = Matrix4.getRotation(transform, new Matrix3());
 
-        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE);
+        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, Transforms.eastNorthUpToFixedFrame);
         var actual = Matrix3.fromQuaternion(quaternion);
         expect(actual).toEqualEpsilon(expected, CesiumMath.EPSILON11);
     });
 
-    it('headingPitchRollQuaternion works with a HeadingPitchRoll object and without a result parameter', function() {
+    it('headingPitchRollQuaternion works with a result parameter', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
@@ -372,12 +564,14 @@ defineSuite([
         var transform = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE);
         var expected = Matrix4.getRotation(transform, new Matrix3());
 
-        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE);
+        var result = new Quaternion();
+        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, Transforms.eastNorthUpToFixedFrame, result);
         var actual = Matrix3.fromQuaternion(quaternion);
+        expect(quaternion).toBe(result);
         expect(actual).toEqualEpsilon(expected, CesiumMath.EPSILON11);
     });
 
-    it('headingPitchRollQuaternion works with a result parameter', function() {
+    it('headingPitchRollQuaternion works without a custom fixedFrameTransform', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
@@ -388,24 +582,26 @@ defineSuite([
         var expected = Matrix4.getRotation(transform, new Matrix3());
 
         var result = new Quaternion();
-        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, result);
+        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, undefined, result);
         var actual = Matrix3.fromQuaternion(quaternion);
         expect(quaternion).toBe(result);
         expect(actual).toEqualEpsilon(expected, CesiumMath.EPSILON11);
     });
 
-    it('headingPitchRollQuaternion works with a HeadingPitchRoll object and a result parameter', function() {
+
+    it('headingPitchRollQuaternion works with a custom fixedFrameTransform', function() {
         var origin = new Cartesian3(1.0, 0.0, 0.0);
         var heading = CesiumMath.toRadians(20.0);
         var pitch = CesiumMath.toRadians(30.0);
         var roll = CesiumMath.toRadians(40.0);
         var hpr = new HeadingPitchRoll(heading, pitch, roll);
+        var fixedFrameTransform = Transforms.localFrameToFixedFrameGenerator('west','south');
 
-        var transform = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE);
+        var transform = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, fixedFrameTransform);
         var expected = Matrix4.getRotation(transform, new Matrix3());
 
         var result = new Quaternion();
-        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, result);
+        var quaternion = Transforms.headingPitchRollQuaternion(origin, hpr, Ellipsoid.UNIT_SPHERE, fixedFrameTransform, result);
         var actual = Matrix3.fromQuaternion(quaternion);
         expect(quaternion).toBe(result);
         expect(actual).toEqualEpsilon(expected, CesiumMath.EPSILON11);
@@ -919,7 +1115,7 @@ defineSuite([
 
     it('headingPitchRollToFixedFrame throws without an origin', function() {
         expect(function() {
-            Transforms.headingPitchRollToFixedFrame(undefined, 0.0, 0.0, 0.0);
+            Transforms.headingPitchRollToFixedFrame(undefined, new HeadingPitchRoll());
         }).toThrowDeveloperError();
     });
 

From 603ef8669fe90193551b919aac06d6b6b4dc0229 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Sat, 21 Jan 2017 09:59:16 +0100
Subject: [PATCH 03/11] update the examples

---
 Apps/Sandcastle/gallery/HeadingPitchRoll.html |   4 +-
 .../Sandcastle/gallery/LocalToFixedFrame.html |  36 +++++++++++-------
 Apps/Sandcastle/gallery/LocalToFixedFrame.jpg | Bin 24445 -> 26556 bytes
 3 files changed, 24 insertions(+), 16 deletions(-)

diff --git a/Apps/Sandcastle/gallery/HeadingPitchRoll.html b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
index 82d507368d34..31406f2146e3 100644
--- a/Apps/Sandcastle/gallery/HeadingPitchRoll.html
+++ b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
@@ -4,8 +4,8 @@
     <meta charset="utf-8">
     <meta http-equiv="X-UA-Compatible" content="IE=edge">
     <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no">
-    <meta name="description" content="Use HeadingPitchRoll to rotate entity.">
-    <meta name="cesium-sandcastle-labels" content="Development">
+    <meta name="description" content="Use HeadingPitchRoll">
+    <meta name="cesium-sandcastle-labels" content="Tutorials">
     <title>Cesium Demo</title>
     <script type="text/javascript" src="../Sandcastle-header.js"></script>
     <script type="text/javascript" src="../../../ThirdParty/requirejs-2.1.20/require.js"></script>
diff --git a/Apps/Sandcastle/gallery/LocalToFixedFrame.html b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
index 58e8b220e21e..9e17c8e2787c 100644
--- a/Apps/Sandcastle/gallery/LocalToFixedFrame.html
+++ b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
@@ -5,7 +5,7 @@
     <meta http-equiv="X-UA-Compatible" content="IE=edge">
     <meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no">
     <meta name="description" content="Use localFrameToFixedFrameGenerator for adequate rotation.">
-    <meta name="cesium-sandcastle-labels" content="Development">
+    <meta name="cesium-sandcastle-labels" content="Tutorials">
     <title>Cesium Demo</title>
     <script type="text/javascript" src="../Sandcastle-header.js"></script>
     <script type="text/javascript" src="../../../ThirdParty/requirejs-2.1.20/require.js"></script>
@@ -76,37 +76,38 @@ <h1>Loading...</h1>
 var localFrames = [
   {
     pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.045000, 5000.0),
-    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('east','north'),
-    comments: 'Classical East North Up\nlocal Frame', offset: 300
+    converter: Cesium.Transforms.eastNorthUpToFixedFrame ,
+    comments: 'Classical East North Up\nlocal Frame'
   },
   {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 5000.0),
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 5500.0),
     converter: Cesium.Transforms.localFrameToFixedFrameGenerator('north','west'),
-    comments: 'North West Up\nlocal Frame', offset: -300
+    comments: 'North West Up\nlocal Frame'
   },
   {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 5000.0),
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 4500.0),
     converter: Cesium.Transforms.localFrameToFixedFrameGenerator('south','up'),
-    comments: 'South Up West\nlocal Frame', offset: -300
+    comments: 'South Up West\nlocal Frame'
   },
   {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.055000, 5000.0),
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 4500.0),
     converter: Cesium.Transforms.localFrameToFixedFrameGenerator('up','east'),
-    comments: 'Up East North\nlocal Frame', offset: 300
+    comments: 'Up East North\nlocal Frame'
   },
   {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.035000, 5000.0),
+    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 5500.0),
     converter: Cesium.Transforms.localFrameToFixedFrameGenerator('down','east'),
-    comments: 'Down East South\nlocal Frame', offset: 300 },
+    comments: 'Down East South\nlocal Frame'
+  },
 ];
 
 var primitives= [];
+var hprRollZero = new Cesium.HeadingPitchRoll();
 
 for( var i = 0; i < localFrames.length; i++){
   var position = localFrames[i].pos;
   var converter = localFrames[i].converter;
   var comments = localFrames[i].comments;
-  var offset = localFrames[i].offset;
   var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
       url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
       modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter),
@@ -114,8 +115,15 @@ <h1>Loading...</h1>
   }));
 
   primitives.push({primitive: planePrimitive, converter: converter, position: position });
+  var modelMatrix = Cesium.Transforms.headingPitchRollToFixedFrame(position, hprRollZero, Cesium.Ellipsoid.WGS84, converter);
+  scene.primitives.add(new Cesium.DebugModelMatrixPrimitive({
+    modelMatrix : modelMatrix,
+    length : 300.0,
+    width : 10.0
+  }));
+
   var positionLabel = position.clone();
-  positionLabel.z = position.z + offset;
+  positionLabel.z = position.z + 300.0;
   viewer.entities.add({
           position : positionLabel,
           label : {
@@ -126,7 +134,7 @@ <h1>Loading...</h1>
               outlineWidth : 2,
               style : Cesium.LabelStyle.FILL_AND_OUTLINE,
               verticalOrigin : Cesium.VerticalOrigin.CENTER,
-              HorizontalOrigin : Cesium.HorizontalOrigin.LEFT
+              HorizontalOrigin : Cesium.HorizontalOrigin.RIGHT
           }
       });
 }
diff --git a/Apps/Sandcastle/gallery/LocalToFixedFrame.jpg b/Apps/Sandcastle/gallery/LocalToFixedFrame.jpg
index cf389152b4832ab644d8dea89be8c5612443e81a..5c652c277d08ffc0500911b3688c9404fe950c7d 100644
GIT binary patch
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From 85dedd077ade96c6bfd7f8bfe69610e9c6f3fdf5 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Sun, 22 Jan 2017 10:13:29 +0100
Subject: [PATCH 04/11] update CHANGES.md and resize images in gallery

---
 Apps/Sandcastle/gallery/HeadingPitchRoll.jpg  | Bin 24445 -> 13616 bytes
 Apps/Sandcastle/gallery/LocalToFixedFrame.jpg | Bin 26556 -> 28333 bytes
 CHANGES.md                                    |   4 ++++
 3 files changed, 4 insertions(+)

diff --git a/Apps/Sandcastle/gallery/HeadingPitchRoll.jpg b/Apps/Sandcastle/gallery/HeadingPitchRoll.jpg
index cf389152b4832ab644d8dea89be8c5612443e81a..6074ed758ac59ab8e41807686e5ca41c9ffd2525 100644
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Rc7{Z3YPUB0edy=d{{e4Wg=hc(

diff --git a/CHANGES.md b/CHANGES.md
index 41f701272b5a..ccd57cded259 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -5,6 +5,9 @@ Change Log
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
     * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
+    * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
+    * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
+    * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
 * Breaking changes
     * Removed separate `heading`, `pitch`, `roll` parameters from `Transform.headingPitchRollToFixedFrame` and `Transform.headingPitchRollQuaternion`. Pass a `headingPitchRoll` object instead. [#4843](https://github.com/AnalyticalGraphicsInc/cesium/pull/4843)
     * The property `binornmal` has been renamed to `bitangent` for `Geometry` and `VertexFormat`. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
@@ -26,6 +29,7 @@ Change Log
 * Added `Rectangle.fromRadians`.
 * `TerrainProvider` now optionally exposes an `availability` property that can be used to query the terrain level that is available at a location or in a rectangle.  Currently only `CesiumTerrainProvider` exposes this property.
 * Added `sampleTerrainMostDetailed` to sample the height of an array of positions using the best available terrain data at each point.  This requires a `TerrainProvider` with the `availability` property.
+* Added `Transforms.localFrameToFixedFrameGenerator` to generate a function that computes a 4x4 transformation matrix from a local reference frame to fixed reference frame.
 
 ### 1.29 - 2017-01-02
 * Improved 3D Models

From b22cf3e4d389e02f2dbf2e208101b276af3a1292 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Mon, 30 Jan 2017 10:18:43 +0100
Subject: [PATCH 05/11] update CHANGES.md

---
 CHANGES.md | 3 ---
 1 file changed, 3 deletions(-)

diff --git a/CHANGES.md b/CHANGES.md
index 1a7a0543aff4..f121be63bc0d 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -5,13 +5,10 @@ Change Log
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
     * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
-<<<<<<< HEAD
     * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
     * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
     * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
-=======
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed  in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
->>>>>>> upstream/master
 * Breaking changes
     * Removed separate `heading`, `pitch`, `roll` parameters from `Transform.headingPitchRollToFixedFrame` and `Transform.headingPitchRollQuaternion`. Pass a `headingPitchRoll` object instead. [#4843](https://github.com/AnalyticalGraphicsInc/cesium/pull/4843)
     * The property `binornmal` has been renamed to `bitangent` for `Geometry` and `VertexFormat`. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)

From ee49f0b6487b7e77e51ee4729ee7584e1c2f90d3 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Tue, 31 Jan 2017 00:07:29 +0100
Subject: [PATCH 06/11] correct checks

---
 Source/Core/Quaternion.js | 2 +-
 Source/Core/Transforms.js | 4 ++--
 2 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/Source/Core/Quaternion.js b/Source/Core/Quaternion.js
index 31eeeebc79e7..521a59b290a1 100644
--- a/Source/Core/Quaternion.js
+++ b/Source/Core/Quaternion.js
@@ -191,7 +191,7 @@ define([
     Quaternion.fromHeadingPitchRoll = function(headingOrHeadingPitchRoll, pitchOrResult, roll, result) {
         //>>includeStart('debug', pragmas.debug);
         if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
-          Check.typeOf.object(headingOrHeadingPitchRoll, 'HeadingPitchRoll');
+          Check.typeOf.object('headingPitchRoll',headingOrHeadingPitchRoll );
         } else {
           Check.typeOf.number(headingOrHeadingPitchRoll, 'heading');
           Check.typeOf.number(pitchOrResult, 'pitch');
diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index 997b855ce125..4b1f6926f6ea 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -329,7 +329,7 @@ define([
      * var transform = Cesium.Transforms.headingPitchRollToFixedFrame(center, hpr);
      */
     Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
-        Check.typeOf.object(headingPitchRoll, 'HeadingPitchRoll');
+        Check.typeOf.object( 'HeadingPitchRoll', headingPitchRoll);
 
         // checks for required parameters happen in the called functions
         deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
@@ -373,7 +373,7 @@ define([
      */
     Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
         // checks for required parameters happen in the called functions
-        Check.typeOf.object(headingPitchRoll, 'HeadingPitchRoll');
+        Check.typeOf.object( 'HeadingPitchRoll', headingPitchRoll);
         deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
         'Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         if(fixedFrameTransformOrResult instanceof Quaternion){

From 8f4edca81d33c714302e5a13626264f4a29aff01 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Wed, 1 Feb 2017 07:12:39 +0100
Subject: [PATCH 07/11] correct changes

---
 CHANGES.md | 6 ------
 1 file changed, 6 deletions(-)

diff --git a/CHANGES.md b/CHANGES.md
index dde2f5329c2e..00ca2d010cc2 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -5,16 +5,13 @@ Change Log
 
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
-<<<<<<< HEAD
     * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
     * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
     * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed  in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use the function `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
-=======
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
->>>>>>> upstream/master
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
 * Breaking changes
     * Removed separate `heading`, `pitch`, `roll` parameters from `Transform.headingPitchRollToFixedFrame` and `Transform.headingPitchRollQuaternion`. Pass a `HeadingPitchRoll` object instead. [#4843](https://github.com/AnalyticalGraphicsInc/cesium/pull/4843)
@@ -36,13 +33,10 @@ Change Log
 * Fixed a bug that affected dynamic graphics with time-dynamic modelMatrix. [#4907](https://github.com/AnalyticalGraphicsInc/cesium/pull/4907)
 * Fixed `Geocoder` autocomplete drop down visibility in Firefox. [#4916](https://github.com/AnalyticalGraphicsInc/cesium/issues/4916)
 * Added `Rectangle.fromRadians`.
-<<<<<<< HEAD
 * `TerrainProvider` now optionally exposes an `availability` property that can be used to query the terrain level that is available at a location or in a rectangle.  Currently only `CesiumTerrainProvider` exposes this property.
 * Added `sampleTerrainMostDetailed` to sample the height of an array of positions using the best available terrain data at each point.  This requires a `TerrainProvider` with the `availability` property.
 * Added `Transforms.localFrameToFixedFrameGenerator` to generate a function that computes a 4x4 transformation matrix from a local reference frame to fixed reference frame.
-=======
 * Updated the morph so the default view in Columbus View is now angled. [#3878](https://github.com/AnalyticalGraphicsInc/cesium/issues/3878)
->>>>>>> upstream/master
 * Added 2D and Columbus View support for models using the RTC extension or whose vertices are in WGS84 coordinates. [#4922](https://github.com/AnalyticalGraphicsInc/cesium/pull/4922)
 * The attribute `perInstanceAttribute` of `DebugAppearance` has been made optional and defaults to `false`.
 * Fixed a bug that would cause a crash when `debugShowFrustums` is enabled with OIT. [#4864](https://github.com/AnalyticalGraphicsInc/cesium/pull/4864)

From c6df6ccb98a9260095ec2642a424ed5225e8bd41 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Wed, 8 Feb 2017 22:47:12 +0100
Subject: [PATCH 08/11] update changes.md

---
 CHANGES.md | 9 +++++----
 1 file changed, 5 insertions(+), 4 deletions(-)

diff --git a/CHANGES.md b/CHANGES.md
index 1283d757721a..5038b2d7b58f 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -2,6 +2,10 @@ Change Log
 ==========
 
 ### 1.31 - 2017-03-01
+* Deprecated
+  * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
+  * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
+  * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
 * Added support to `DebugCameraPrimitive` to draw multifrustum planes. The attribute `debugShowFrustumPlanes` of `Scene` and `frustumPlanes` of `CesiumInspector` toggles this. `FrameState` has been augmented to include `frustumSplits` which is a `Number[]` of the near/far planes of the camera frustums.
 * Enable rendering `GroundPrimitives` on hardware without the `EXT_frag_depth` extension; however, this could cause artifacts for certain viewing angles.
 * Added compressed texture support. [#4758](https://github.com/AnalyticalGraphicsInc/cesium/pull/4758)
@@ -10,15 +14,13 @@ Change Log
    * Added new `PixelFormat` and `WebGLConstants` enums from WebGL extensions `WEBGL_compressed_s3tc`, `WEBGL_compressed_texture_pvrtc`, and `WEBGL_compressed_texture_etc1`.
    * Added `CompressedTextureBuffer`.
 * Improved `RectangleGeometry` by skipping unecessary logic in the code [#4948](https://github.com/AnalyticalGraphicsInc/cesium/pull/4948)
+* * Added `Transforms.localFrameToFixedFrameGenerator` to generate a function that computes a 4x4 transformation matrix from a local reference frame to fixed reference frame.
 
 ### 1.30 - 2017-02-01
 
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
     * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
-    * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
-    * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
-    * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed  in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use the function `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
@@ -45,7 +47,6 @@ Change Log
 * Added `Rectangle.fromRadians`.
 * `TerrainProvider` now optionally exposes an `availability` property that can be used to query the terrain level that is available at a location or in a rectangle.  Currently only `CesiumTerrainProvider` exposes this property.
 * Added `sampleTerrainMostDetailed` to sample the height of an array of positions using the best available terrain data at each point.  This requires a `TerrainProvider` with the `availability` property.
-* Added `Transforms.localFrameToFixedFrameGenerator` to generate a function that computes a 4x4 transformation matrix from a local reference frame to fixed reference frame.
 * Updated the morph so the default view in Columbus View is now angled. [#3878](https://github.com/AnalyticalGraphicsInc/cesium/issues/3878)
 * Added 2D and Columbus View support for models using the RTC extension or whose vertices are in WGS84 coordinates. [#4922](https://github.com/AnalyticalGraphicsInc/cesium/pull/4922)
 * The attribute `perInstanceAttribute` of `DebugAppearance` has been made optional and defaults to `false`.

From 17f8a3f0be1d95f16000be86bb225363fd5627e3 Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Thu, 9 Feb 2017 00:10:07 +0100
Subject: [PATCH 09/11] update in regards of the code review

---
 CHANGES.md                   |   8 +-
 Source/Core/Quaternion.js    |  17 ++--
 Source/Core/Transforms.js    | 148 ++++++++++++++++++-----------------
 Source/Scene/Camera.js       |  15 ++--
 Specs/Core/QuaternionSpec.js |  18 -----
 5 files changed, 97 insertions(+), 109 deletions(-)

diff --git a/CHANGES.md b/CHANGES.md
index 5038b2d7b58f..ffbb36c3f1e3 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -3,9 +3,9 @@ Change Log
 
 ### 1.31 - 2017-03-01
 * Deprecated
-  * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.32. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
-  * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
-  * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.32. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
+  * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.33. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
+  * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.33. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
+  * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.33. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
 * Added support to `DebugCameraPrimitive` to draw multifrustum planes. The attribute `debugShowFrustumPlanes` of `Scene` and `frustumPlanes` of `CesiumInspector` toggles this. `FrameState` has been augmented to include `frustumSplits` which is a `Number[]` of the near/far planes of the camera frustums.
 * Enable rendering `GroundPrimitives` on hardware without the `EXT_frag_depth` extension; however, this could cause artifacts for certain viewing angles.
 * Added compressed texture support. [#4758](https://github.com/AnalyticalGraphicsInc/cesium/pull/4758)
@@ -21,8 +21,6 @@ Change Log
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
     * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
-    * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed  in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
-    * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use the function `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
 * Breaking changes
diff --git a/Source/Core/Quaternion.js b/Source/Core/Quaternion.js
index 521a59b290a1..10b4cde99adc 100644
--- a/Source/Core/Quaternion.js
+++ b/Source/Core/Quaternion.js
@@ -176,6 +176,9 @@ define([
     };
 
     var scratchHPRQuaternion = new Quaternion();
+    var scratchHeadingQuaternion = new Quaternion();
+    var scratchPitchQuaternion = new Quaternion();
+    var scratchRollQuaternion = new Quaternion();
 
     /**
      * Computes a rotation from the given heading, pitch and roll angles. Heading is the rotation about the
@@ -198,20 +201,20 @@ define([
           Check.typeOf.number(roll, 'roll');
         }
         //>>includeEnd('debug');
-        deprecationWarning('Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
-        'Use Quaternion.fromHeadingPitchRoll(hpr,result) where hpr is a HeadingPitchRoll');
         var hpr;
         if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
           hpr = headingOrHeadingPitchRoll;
           result = pitchOrResult;
         } else {
+          deprecationWarning('Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)', 'The method was deprecated in Cesium 1.32 and will be removed in version 1.33. ' +
+          'Use Quaternion.fromHeadingPitchRoll(hpr,result) where hpr is a HeadingPitchRoll');
           hpr = new HeadingPitchRoll(headingOrHeadingPitchRoll, pitchOrResult, roll);
         }
-        var rollQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_X, hpr.roll, scratchHPRQuaternion);
-        var pitchQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Y, -hpr.pitch, result);
-        result = Quaternion.multiply(pitchQuaternion, rollQuaternion, pitchQuaternion);
-        var headingQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Z, -hpr.heading, scratchHPRQuaternion);
-        return Quaternion.multiply(headingQuaternion, result, result);
+        scratchRollQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_X, hpr.roll, scratchHPRQuaternion);
+        scratchPitchQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Y, -hpr.pitch, result);
+        result = Quaternion.multiply(scratchPitchQuaternion, scratchRollQuaternion, scratchPitchQuaternion);
+        scratchHeadingQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Z, -hpr.heading, scratchHPRQuaternion);
+        return Quaternion.multiply(scratchHeadingQuaternion, result, result);
     };
 
     var sampledQuaternionAxis = new Cartesian3();
diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index 4b1f6926f6ea..a0ffcf02a443 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -110,6 +110,18 @@ define([
       ],
       down: [0, 0, -1]
     };
+
+    var scratchCalculateCartesian = {
+      east: new Cartesian3(),
+      north: new Cartesian3(),
+      up: new Cartesian3(),
+      west: new Cartesian3(),
+      south: new Cartesian3(),
+      down: new Cartesian3()
+    };
+    var scratchFirstCartesian = new Cartesian3();
+    var scratchSecondCartesian = new Cartesian3();
+    var scratchThirdCartesian = new Cartesian3();
     /**
     * Generates a function that computes a 4x4 transformation matrix from a reference frame
     * centered at the provided origin to the provided ellipsoid's fixed reference frame.
@@ -122,87 +134,78 @@ define([
     */
     Transforms.localFrameToFixedFrameGenerator = function( firstAxis, secondAxis) {
       if (!vectorProductLocalFrame.hasOwnProperty(firstAxis) || !vectorProductLocalFrame[firstAxis].hasOwnProperty(secondAxis)) {
-        throw new DeveloperError('firstAxis and secondAxis must be east, north, up, west, south or down.');
+          throw new DeveloperError('firstAxis and secondAxis must be east, north, up, west, south or down.');
       }
       var thirdAxis = vectorProductLocalFrame[firstAxis][secondAxis];
-      var calculateCartesian = {
-        east: new Cartesian3(),
-        north: new Cartesian3(),
-        up: new Cartesian3(),
-        west: new Cartesian3(),
-        south: new Cartesian3(),
-        down: new Cartesian3()
-      };
-      var firstCartesian = new Cartesian3();
-      var secondCartesian = new Cartesian3();
-      var thirdCartesian = new Cartesian3();
+
 
       /**
-       * [resultat description]
+       * Computes a 4x4 transformation matrix from a reference frame
+       * centered at the provided origin to the provided ellipsoid's fixed reference frame.
+       * @callback Transforms~LocalFrameToFixedFrame
        * @param {Cartesian3} origin The center point of the local reference frame.
        * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
        * @param {Matrix4} [result] The object onto which to store the result.
        * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
        */
-      var resultat= function(origin, ellipsoid, result) {
+      var resultat = function(origin, ellipsoid, result) {
         //>>includeStart('debug', pragmas.debug);
         if (!defined(origin)) {
-          throw new DeveloperError('origin is required.');
+            throw new DeveloperError('origin is required.');
         }
         //>>includeEnd('debug');
         if (!defined(result)) {
-          result = new Matrix4();
+            result = new Matrix4();
         }
         // If x and y are zero, assume origin is at a pole, which is a special case.
         if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) && CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-          var sign = CesiumMath.sign(origin.z);
-
-          Cartesian3.unpack(degeneratePositionLocalFrame[firstAxis], 0, firstCartesian);
-          if (firstAxis !== 'east' && firstAxis !== 'west') {
-            Cartesian3.multiplyByScalar(firstCartesian, sign, firstCartesian);
-          }
-
-          Cartesian3.unpack(degeneratePositionLocalFrame[secondAxis], 0, secondCartesian);
-          if (secondAxis !== 'east' && secondAxis !== 'west') {
-            Cartesian3.multiplyByScalar(secondCartesian, sign, secondCartesian);
-          }
-
-          Cartesian3.unpack(degeneratePositionLocalFrame[thirdAxis], 0, thirdCartesian);
-          if (thirdAxis !== 'east' && thirdAxis !== 'west') {
-            Cartesian3.multiplyByScalar(thirdCartesian, sign, thirdCartesian);
-          }
+            var sign = CesiumMath.sign(origin.z);
+
+            Cartesian3.unpack(degeneratePositionLocalFrame[firstAxis], 0, scratchFirstCartesian);
+            if (firstAxis !== 'east' && firstAxis !== 'west') {
+                Cartesian3.multiplyByScalar(scratchFirstCartesian, sign, scratchFirstCartesian);
+            }
+
+            Cartesian3.unpack(degeneratePositionLocalFrame[secondAxis], 0, scratchSecondCartesian);
+            if (secondAxis !== 'east' && secondAxis !== 'west') {
+                Cartesian3.multiplyByScalar(scratchSecondCartesian, sign, scratchSecondCartesian);
+            }
+
+            Cartesian3.unpack(degeneratePositionLocalFrame[thirdAxis], 0, scratchThirdCartesian);
+            if (thirdAxis !== 'east' && thirdAxis !== 'west') {
+                Cartesian3.multiplyByScalar(scratchThirdCartesian, sign, scratchThirdCartesian);
+            }
         } else {
-
-          ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-          ellipsoid.geodeticSurfaceNormal(origin, calculateCartesian.up);
-
-          var up = calculateCartesian.up;
-          var east = calculateCartesian.east;
-          east.x = -origin.y;
-          east.y = origin.x;
-          east.z = 0.0;
-          Cartesian3.normalize(east, calculateCartesian.east);
-          Cartesian3.cross(up, east, calculateCartesian.north);
-
-          Cartesian3.multiplyByScalar(calculateCartesian.up, -1, calculateCartesian.down);
-          Cartesian3.multiplyByScalar(calculateCartesian.east, -1, calculateCartesian.west);
-          Cartesian3.multiplyByScalar(calculateCartesian.north, -1, calculateCartesian.south);
-
-          firstCartesian = calculateCartesian[firstAxis];
-          secondCartesian = calculateCartesian[secondAxis];
-          thirdCartesian = calculateCartesian[thirdAxis];
+            ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
+            ellipsoid.geodeticSurfaceNormal(origin, scratchCalculateCartesian.up);
+
+            var up = scratchCalculateCartesian.up;
+            var east = scratchCalculateCartesian.east;
+            east.x = -origin.y;
+            east.y = origin.x;
+            east.z = 0.0;
+            Cartesian3.normalize(east, scratchCalculateCartesian.east);
+            Cartesian3.cross(up, east, scratchCalculateCartesian.north);
+
+            Cartesian3.multiplyByScalar(scratchCalculateCartesian.up, -1, scratchCalculateCartesian.down);
+            Cartesian3.multiplyByScalar(scratchCalculateCartesian.east, -1, scratchCalculateCartesian.west);
+            Cartesian3.multiplyByScalar(scratchCalculateCartesian.north, -1, scratchCalculateCartesian.south);
+
+            scratchFirstCartesian = scratchCalculateCartesian[firstAxis];
+            scratchSecondCartesian = scratchCalculateCartesian[secondAxis];
+            scratchThirdCartesian = scratchCalculateCartesian[thirdAxis];
         }
-        result[0] = firstCartesian.x;
-        result[1] = firstCartesian.y;
-        result[2] = firstCartesian.z;
+        result[0] = scratchFirstCartesian.x;
+        result[1] = scratchFirstCartesian.y;
+        result[2] = scratchFirstCartesian.z;
         result[3] = 0.0;
-        result[4] = secondCartesian.x;
-        result[5] = secondCartesian.y;
-        result[6] = secondCartesian.z;
+        result[4] = scratchSecondCartesian.x;
+        result[5] = scratchSecondCartesian.y;
+        result[6] = scratchSecondCartesian.z;
         result[7] = 0.0;
-        result[8] = thirdCartesian.x;
-        result[9] = thirdCartesian.y;
-        result[10] = thirdCartesian.z;
+        result[8] = scratchThirdCartesian.x;
+        result[9] = scratchThirdCartesian.y;
+        result[10] = scratchThirdCartesian.z;
         result[11] = 0.0;
         result[12] = origin.x;
         result[13] = origin.y;
@@ -314,8 +317,8 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
-     * @param {function} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
-     *  to the provided ellipsoid's fixed reference frame
+     * @param {Transforms~LocalFrameToFixedFrame} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation
+     *  matrix from a reference frame to the provided ellipsoid's fixed reference frame
      * @param {Matrix4} [result] The object onto which to store the result.
      * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
      *
@@ -329,14 +332,16 @@ define([
      * var transform = Cesium.Transforms.headingPitchRollToFixedFrame(center, hpr);
      */
     Transforms.headingPitchRollToFixedFrame = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
+        //>>includeStart('debug', pragmas.debug);
         Check.typeOf.object( 'HeadingPitchRoll', headingPitchRoll);
+        //>>includeEnd('debug');
 
         // checks for required parameters happen in the called functions
-        deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
-        'Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         if(fixedFrameTransformOrResult instanceof Matrix4){
-          result = fixedFrameTransformOrResult;
-          fixedFrameTransformOrResult = undefined;
+            result = fixedFrameTransformOrResult;
+            fixedFrameTransformOrResult = undefined;
+            deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. ' +
+            'Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         }
         fixedFrameTransformOrResult = defaultValue(fixedFrameTransformOrResult,Transforms.eastNorthUpToFixedFrame);
         var hprQuaternion = Quaternion.fromHeadingPitchRoll(headingPitchRoll, scratchHPRQuaternion);
@@ -357,8 +362,8 @@ define([
      * @param {Cartesian3} origin The center point of the local reference frame.
      * @param {HeadingPitchRoll} headingPitchRoll The heading, pitch, and roll.
      * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid whose fixed frame is used in the transformation.
-     * @param {function} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation matrix from a reference frame
-     *  to the provided ellipsoid's fixed reference frame
+     * @param {Transforms~LocalFrameToFixedFrame} [fixedFrameTransformOrResult=Transforms.eastNorthUpToFixedFrame] A 4x4 transformation
+     *  matrix from a reference frame to the provided ellipsoid's fixed reference frame
      * @param {Quaternion} [result] The object onto which to store the result.
      * @returns {Quaternion} The modified result parameter or a new Quaternion instance if none was provided.
      *
@@ -372,13 +377,14 @@ define([
      * var quaternion = Cesium.Transforms.headingPitchRollQuaternion(center, hpr);
      */
     Transforms.headingPitchRollQuaternion = function(origin, headingPitchRoll, ellipsoid, fixedFrameTransformOrResult, result) {
-        // checks for required parameters happen in the called functions
+        //>>includeStart('debug', pragmas.debug);
         Check.typeOf.object( 'HeadingPitchRoll', headingPitchRoll);
-        deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.32. ' +
-        'Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
+        //>>includeEnd('debug');
         if(fixedFrameTransformOrResult instanceof Quaternion){
           result = fixedFrameTransformOrResult;
           fixedFrameTransformOrResult = undefined;
+          deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. ' +
+          'Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         }
         var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid,fixedFrameTransformOrResult, scratchENUMatrix4);
         var rotation = Matrix4.getRotation(transform, scratchHPRMatrix3);
diff --git a/Source/Scene/Camera.js b/Source/Scene/Camera.js
index c7bc713790d8..d2ee120847fc 100644
--- a/Source/Scene/Camera.js
+++ b/Source/Scene/Camera.js
@@ -1086,6 +1086,7 @@ define([
         endTransform : undefined
     };
 
+    var scratchHpr = new HeadingPitchRoll();
     /**
      * Sets the camera position, orientation and transform.
      *
@@ -1160,20 +1161,18 @@ define([
             orientation = directionUpToHeadingPitchRoll(this, destination, orientation, scratchSetViewOptions.orientation);
         }
 
-        var heading = defaultValue(orientation.heading, 0.0);
-        var pitch = defaultValue(orientation.pitch, -CesiumMath.PI_OVER_TWO);
-        var roll = defaultValue(orientation.roll, 0.0);
-
-        var hpr = new HeadingPitchRoll(heading, pitch, roll);
+        scratchHpr.heading = defaultValue(orientation.heading, 0.0);
+        scratchHpr.pitch = defaultValue(orientation.pitch, -CesiumMath.PI_OVER_TWO);
+        scratchHpr.roll = defaultValue(orientation.roll, 0.0);
 
         this._suspendTerrainAdjustment = true;
 
         if (mode === SceneMode.SCENE3D) {
-            setView3D(this, destination, hpr);
+            setView3D(this, destination, scratchHpr);
         } else if (mode === SceneMode.SCENE2D) {
-            setView2D(this, destination, hpr, convert);
+            setView2D(this, destination, scratchHpr, convert);
         } else {
-            setViewCV(this, destination, hpr, convert);
+            setViewCV(this, destination, scratchHpr, convert);
         }
     };
 
diff --git a/Specs/Core/QuaternionSpec.js b/Specs/Core/QuaternionSpec.js
index c8e42b98f34d..ca4861320cab 100644
--- a/Specs/Core/QuaternionSpec.js
+++ b/Specs/Core/QuaternionSpec.js
@@ -660,25 +660,7 @@ defineSuite([
             Quaternion.fromRotationMatrix(undefined);
         }).toThrowDeveloperError();
     });
-/*
-    it('fromHeadingPitchRoll throws with undefined heading', function() {
-        expect(function() {
-            Quaternion.fromHeadingPitchRoll(undefined, 0.0, 0.0);
-        }).toThrowDeveloperError();
-    });
-
-    it('fromHeadingPitchRoll throws with undefined pitch', function() {
-        expect(function() {
-            Quaternion.fromHeadingPitchRoll(0.0, undefined, 0.0);
-        }).toThrowDeveloperError();
-    });
 
-    it('fromHeadingPitchRoll throws with undefined roll', function() {
-        expect(function() {
-            Quaternion.fromHeadingPitchRoll(0.0, 0.0, undefined);
-        }).toThrowDeveloperError();
-    });
-*/
     it('clone returns undefined with no parameter', function() {
         expect(Quaternion.clone()).toBeUndefined();
     });

From 96cbf0f820eef4410303ffaefd4f0765c891cfcb Mon Sep 17 00:00:00 2001
From: Farouk Abdou <kaktus40@hotmail.fr>
Date: Fri, 10 Feb 2017 00:46:17 +0100
Subject: [PATCH 10/11] made a cache for localFrameToFixedFrameGenerator

---
 CHANGES.md                |   3 -
 Source/Core/Quaternion.js |  17 +++--
 Source/Core/Transforms.js | 139 ++++++++++++++++++++------------------
 3 files changed, 82 insertions(+), 77 deletions(-)

diff --git a/CHANGES.md b/CHANGES.md
index 0b18f8a4e0c5..9949a1bef24f 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -2,15 +2,12 @@ Change Log
 ==========
 
 ### 1.31 - 2017-03-01
-<<<<<<< HEAD
 * Deprecated
   * The function `Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)` will be removed in 1.33. Use `Quaternion.fromHeadingPitchRoll(hpr,result)` instead  where hpr is a HeadingPitchRoll.
   * The function `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.33. Use `Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
   * The function `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)` will be removed in 1.33. Use `Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result)` instead where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator).
-=======
 * Breaking changes
   * Corrected spelling of `Color.FUCHSIA` from `Color.FUSCHIA`
->>>>>>> upstream/master
 * Added support to `DebugCameraPrimitive` to draw multifrustum planes. The attribute `debugShowFrustumPlanes` of `Scene` and `frustumPlanes` of `CesiumInspector` toggles this. `FrameState` has been augmented to include `frustumSplits` which is a `Number[]` of the near/far planes of the camera frustums.
 * Enable rendering `GroundPrimitives` on hardware without the `EXT_frag_depth` extension; however, this could cause artifacts for certain viewing angles.
 * Added compressed texture support. [#4758](https://github.com/AnalyticalGraphicsInc/cesium/pull/4758)
diff --git a/Source/Core/Quaternion.js b/Source/Core/Quaternion.js
index 10b4cde99adc..cd19446e2fc8 100644
--- a/Source/Core/Quaternion.js
+++ b/Source/Core/Quaternion.js
@@ -194,21 +194,20 @@ define([
     Quaternion.fromHeadingPitchRoll = function(headingOrHeadingPitchRoll, pitchOrResult, roll, result) {
         //>>includeStart('debug', pragmas.debug);
         if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
-          Check.typeOf.object('headingPitchRoll',headingOrHeadingPitchRoll );
+            Check.typeOf.object('headingPitchRoll', headingOrHeadingPitchRoll);
         } else {
-          Check.typeOf.number(headingOrHeadingPitchRoll, 'heading');
-          Check.typeOf.number(pitchOrResult, 'pitch');
-          Check.typeOf.number(roll, 'roll');
+            Check.typeOf.number(headingOrHeadingPitchRoll, 'heading');
+            Check.typeOf.number(pitchOrResult, 'pitch');
+            Check.typeOf.number(roll, 'roll');
         }
         //>>includeEnd('debug');
         var hpr;
         if (headingOrHeadingPitchRoll instanceof HeadingPitchRoll) {
-          hpr = headingOrHeadingPitchRoll;
-          result = pitchOrResult;
+            hpr = headingOrHeadingPitchRoll;
+            result = pitchOrResult;
         } else {
-          deprecationWarning('Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)', 'The method was deprecated in Cesium 1.32 and will be removed in version 1.33. ' +
-          'Use Quaternion.fromHeadingPitchRoll(hpr,result) where hpr is a HeadingPitchRoll');
-          hpr = new HeadingPitchRoll(headingOrHeadingPitchRoll, pitchOrResult, roll);
+            deprecationWarning('Quaternion.fromHeadingPitchRoll(heading, pitch, roll,result)', 'The method was deprecated in Cesium 1.32 and will be removed in version 1.33. ' + 'Use Quaternion.fromHeadingPitchRoll(hpr,result) where hpr is a HeadingPitchRoll');
+            hpr = new HeadingPitchRoll(headingOrHeadingPitchRoll, pitchOrResult, roll);
         }
         scratchRollQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_X, hpr.roll, scratchHPRQuaternion);
         scratchPitchQuaternion = Quaternion.fromAxisAngle(Cartesian3.UNIT_Y, -hpr.pitch, result);
diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index a0ffcf02a443..e63824a7c152 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -111,6 +111,8 @@ define([
       down: [0, 0, -1]
     };
 
+    var localFrameToFixedFrameCache = {};
+
     var scratchCalculateCartesian = {
       east: new Cartesian3(),
       north: new Cartesian3(),
@@ -148,71 +150,78 @@ define([
        * @param {Matrix4} [result] The object onto which to store the result.
        * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if none was provided.
        */
-      var resultat = function(origin, ellipsoid, result) {
-        //>>includeStart('debug', pragmas.debug);
-        if (!defined(origin)) {
-            throw new DeveloperError('origin is required.');
-        }
-        //>>includeEnd('debug');
-        if (!defined(result)) {
-            result = new Matrix4();
-        }
-        // If x and y are zero, assume origin is at a pole, which is a special case.
-        if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) && CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
-            var sign = CesiumMath.sign(origin.z);
-
-            Cartesian3.unpack(degeneratePositionLocalFrame[firstAxis], 0, scratchFirstCartesian);
-            if (firstAxis !== 'east' && firstAxis !== 'west') {
-                Cartesian3.multiplyByScalar(scratchFirstCartesian, sign, scratchFirstCartesian);
-            }
-
-            Cartesian3.unpack(degeneratePositionLocalFrame[secondAxis], 0, scratchSecondCartesian);
-            if (secondAxis !== 'east' && secondAxis !== 'west') {
-                Cartesian3.multiplyByScalar(scratchSecondCartesian, sign, scratchSecondCartesian);
-            }
-
-            Cartesian3.unpack(degeneratePositionLocalFrame[thirdAxis], 0, scratchThirdCartesian);
-            if (thirdAxis !== 'east' && thirdAxis !== 'west') {
-                Cartesian3.multiplyByScalar(scratchThirdCartesian, sign, scratchThirdCartesian);
-            }
-        } else {
-            ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
-            ellipsoid.geodeticSurfaceNormal(origin, scratchCalculateCartesian.up);
-
-            var up = scratchCalculateCartesian.up;
-            var east = scratchCalculateCartesian.east;
-            east.x = -origin.y;
-            east.y = origin.x;
-            east.z = 0.0;
-            Cartesian3.normalize(east, scratchCalculateCartesian.east);
-            Cartesian3.cross(up, east, scratchCalculateCartesian.north);
-
-            Cartesian3.multiplyByScalar(scratchCalculateCartesian.up, -1, scratchCalculateCartesian.down);
-            Cartesian3.multiplyByScalar(scratchCalculateCartesian.east, -1, scratchCalculateCartesian.west);
-            Cartesian3.multiplyByScalar(scratchCalculateCartesian.north, -1, scratchCalculateCartesian.south);
-
-            scratchFirstCartesian = scratchCalculateCartesian[firstAxis];
-            scratchSecondCartesian = scratchCalculateCartesian[secondAxis];
-            scratchThirdCartesian = scratchCalculateCartesian[thirdAxis];
-        }
-        result[0] = scratchFirstCartesian.x;
-        result[1] = scratchFirstCartesian.y;
-        result[2] = scratchFirstCartesian.z;
-        result[3] = 0.0;
-        result[4] = scratchSecondCartesian.x;
-        result[5] = scratchSecondCartesian.y;
-        result[6] = scratchSecondCartesian.z;
-        result[7] = 0.0;
-        result[8] = scratchThirdCartesian.x;
-        result[9] = scratchThirdCartesian.y;
-        result[10] = scratchThirdCartesian.z;
-        result[11] = 0.0;
-        result[12] = origin.x;
-        result[13] = origin.y;
-        result[14] = origin.z;
-        result[15] = 1.0;
-        return result;
-      };
+      var resultat;
+      var hashAxis = firstAxis + secondAxis;
+      if (defined(localFrameToFixedFrameCache[hashAxis])) {
+          resultat = localFrameToFixedFrameCache[hashAxis];
+      } else {
+          resultat = function(origin, ellipsoid, result) {
+              //>>includeStart('debug', pragmas.debug);
+              if (!defined(origin)) {
+                  throw new DeveloperError('origin is required.');
+              }
+              //>>includeEnd('debug');
+              if (!defined(result)) {
+                  result = new Matrix4();
+              }
+              // If x and y are zero, assume origin is at a pole, which is a special case.
+              if (CesiumMath.equalsEpsilon(origin.x, 0.0, CesiumMath.EPSILON14) && CesiumMath.equalsEpsilon(origin.y, 0.0, CesiumMath.EPSILON14)) {
+                  var sign = CesiumMath.sign(origin.z);
+
+                  Cartesian3.unpack(degeneratePositionLocalFrame[firstAxis], 0, scratchFirstCartesian);
+                  if (firstAxis !== 'east' && firstAxis !== 'west') {
+                      Cartesian3.multiplyByScalar(scratchFirstCartesian, sign, scratchFirstCartesian);
+                  }
+
+                  Cartesian3.unpack(degeneratePositionLocalFrame[secondAxis], 0, scratchSecondCartesian);
+                  if (secondAxis !== 'east' && secondAxis !== 'west') {
+                      Cartesian3.multiplyByScalar(scratchSecondCartesian, sign, scratchSecondCartesian);
+                  }
+
+                  Cartesian3.unpack(degeneratePositionLocalFrame[thirdAxis], 0, scratchThirdCartesian);
+                  if (thirdAxis !== 'east' && thirdAxis !== 'west') {
+                      Cartesian3.multiplyByScalar(scratchThirdCartesian, sign, scratchThirdCartesian);
+                  }
+              } else {
+                  ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
+                  ellipsoid.geodeticSurfaceNormal(origin, scratchCalculateCartesian.up);
+
+                  var up = scratchCalculateCartesian.up;
+                  var east = scratchCalculateCartesian.east;
+                  east.x = -origin.y;
+                  east.y = origin.x;
+                  east.z = 0.0;
+                  Cartesian3.normalize(east, scratchCalculateCartesian.east);
+                  Cartesian3.cross(up, east, scratchCalculateCartesian.north);
+
+                  Cartesian3.multiplyByScalar(scratchCalculateCartesian.up, -1, scratchCalculateCartesian.down);
+                  Cartesian3.multiplyByScalar(scratchCalculateCartesian.east, -1, scratchCalculateCartesian.west);
+                  Cartesian3.multiplyByScalar(scratchCalculateCartesian.north, -1, scratchCalculateCartesian.south);
+
+                  scratchFirstCartesian = scratchCalculateCartesian[firstAxis];
+                  scratchSecondCartesian = scratchCalculateCartesian[secondAxis];
+                  scratchThirdCartesian = scratchCalculateCartesian[thirdAxis];
+              }
+              result[0] = scratchFirstCartesian.x;
+              result[1] = scratchFirstCartesian.y;
+              result[2] = scratchFirstCartesian.z;
+              result[3] = 0.0;
+              result[4] = scratchSecondCartesian.x;
+              result[5] = scratchSecondCartesian.y;
+              result[6] = scratchSecondCartesian.z;
+              result[7] = 0.0;
+              result[8] = scratchThirdCartesian.x;
+              result[9] = scratchThirdCartesian.y;
+              result[10] = scratchThirdCartesian.z;
+              result[11] = 0.0;
+              result[12] = origin.x;
+              result[13] = origin.y;
+              result[14] = origin.z;
+              result[15] = 1.0;
+              return result;
+          };
+          localFrameToFixedFrameCache[hashAxis] = resultat;
+      }
       return resultat;
     };
 

From 1ca538ad0726ebeb9bf072101ecfbaac9f11b2db Mon Sep 17 00:00:00 2001
From: Dan Bagnell <daniel.p.bagnell@gmail.com>
Date: Fri, 10 Feb 2017 11:59:36 -0500
Subject: [PATCH 11/11] Fix whitespace and remove duplicate entries from
 CHANGES.md.

---
 Apps/Sandcastle/gallery/HeadingPitchRoll.html |   9 +-
 .../Sandcastle/gallery/LocalToFixedFrame.html | 151 +++++-----
 CHANGES.md                                    |   3 -
 Source/Core/Transforms.js                     | 120 ++++----
 Specs/Core/TransformsSpec.js                  | 272 +++++++++---------
 5 files changed, 271 insertions(+), 284 deletions(-)

diff --git a/Apps/Sandcastle/gallery/HeadingPitchRoll.html b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
index 31406f2146e3..7597de58a5fc 100644
--- a/Apps/Sandcastle/gallery/HeadingPitchRoll.html
+++ b/Apps/Sandcastle/gallery/HeadingPitchRoll.html
@@ -70,8 +70,8 @@ <h1>Loading...</h1>
 var viewer = new Cesium.Viewer('cesiumContainer');
 var canvas = viewer.canvas;
 canvas.setAttribute('tabindex', '0'); // needed to put focus on the canvas
-canvas.addEventListener('click',function(){
-  canvas.focus();
+canvas.addEventListener('click', function() {
+    canvas.focus();
 });
 canvas.focus();
 
@@ -106,7 +106,7 @@ <h1>Loading...</h1>
 
 var position = Cesium.Cartesian3.fromDegrees(-123.0744619, 44.0503706, 5000.0);
 var speedVector = new Cesium.Cartesian3();
-var fixedFrameTransform = Cesium.Transforms.localFrameToFixedFrameGenerator('north','west');
+var fixedFrameTransform = Cesium.Transforms.localFrameToFixedFrameGenerator('north', 'west');
 
 var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
     url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
@@ -217,7 +217,8 @@ <h1>Loading...</h1>
         hpRange.pitch = hpRoll.pitch;
         camera.lookAt(center, hpRange);
     }
-});//Sandcastle_End
+});
+//Sandcastle_End
     Sandcastle.finishedLoading();
 }
 if (typeof Cesium !== "undefined") {
diff --git a/Apps/Sandcastle/gallery/LocalToFixedFrame.html b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
index 9e17c8e2787c..744e647fa37a 100644
--- a/Apps/Sandcastle/gallery/LocalToFixedFrame.html
+++ b/Apps/Sandcastle/gallery/LocalToFixedFrame.html
@@ -58,8 +58,8 @@ <h1>Loading...</h1>
 var viewer = new Cesium.Viewer('cesiumContainer');
 var canvas = viewer.canvas;
 canvas.setAttribute('tabindex', '0'); // needed to put focus on the canvas
-canvas.addEventListener('click',function(){
-  canvas.focus();
+canvas.addEventListener('click', function() {
+    canvas.focus();
 });
 canvas.focus();
 
@@ -74,69 +74,69 @@ <h1>Loading...</h1>
 var deltaRadians = Cesium.Math.toRadians(1.0);
 
 var localFrames = [
-  {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.045000, 5000.0),
-    converter: Cesium.Transforms.eastNorthUpToFixedFrame ,
-    comments: 'Classical East North Up\nlocal Frame'
-  },
-  {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 5500.0),
-    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('north','west'),
-    comments: 'North West Up\nlocal Frame'
-  },
-  {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 4500.0),
-    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('south','up'),
-    comments: 'South Up West\nlocal Frame'
-  },
-  {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 4500.0),
-    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('up','east'),
-    comments: 'Up East North\nlocal Frame'
-  },
-  {
-    pos: Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 5500.0),
-    converter: Cesium.Transforms.localFrameToFixedFrameGenerator('down','east'),
-    comments: 'Down East South\nlocal Frame'
-  },
+    {
+        pos : Cesium.Cartesian3.fromDegrees(-123.075, 44.045000, 5000.0),
+        converter : Cesium.Transforms.eastNorthUpToFixedFrame,
+        comments : 'Classical East North Up\nlocal Frame'
+    },
+    {
+        pos : Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 5500.0),
+        converter : Cesium.Transforms.localFrameToFixedFrameGenerator('north', 'west'),
+        comments : 'North West Up\nlocal Frame'
+    },
+    {
+        pos : Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 4500.0),
+        converter : Cesium.Transforms.localFrameToFixedFrameGenerator('south', 'up'),
+        comments : 'South Up West\nlocal Frame'
+    },
+    {
+        pos : Cesium.Cartesian3.fromDegrees(-123.075, 44.050000, 4500.0),
+        converter : Cesium.Transforms.localFrameToFixedFrameGenerator('up', 'east'),
+        comments : 'Up East North\nlocal Frame'
+    },
+    {
+        pos : Cesium.Cartesian3.fromDegrees(-123.075, 44.040000, 5500.0),
+        converter : Cesium.Transforms.localFrameToFixedFrameGenerator('down', 'east'),
+        comments : 'Down East South\nlocal Frame'
+    },
 ];
 
-var primitives= [];
+var primitives = [];
 var hprRollZero = new Cesium.HeadingPitchRoll();
 
-for( var i = 0; i < localFrames.length; i++){
-  var position = localFrames[i].pos;
-  var converter = localFrames[i].converter;
-  var comments = localFrames[i].comments;
-  var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
-      url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
-      modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter),
-      minimumPixelSize : 128
-  }));
+for (var i = 0; i < localFrames.length; i++) {
+    var position = localFrames[i].pos;
+    var converter = localFrames[i].converter;
+    var comments = localFrames[i].comments;
+    var planePrimitive = scene.primitives.add(Cesium.Model.fromGltf({
+        url : '../../SampleData/models/CesiumAir/Cesium_Air.glb',
+        modelMatrix : Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter),
+        minimumPixelSize : 128
+    }));
 
-  primitives.push({primitive: planePrimitive, converter: converter, position: position });
-  var modelMatrix = Cesium.Transforms.headingPitchRollToFixedFrame(position, hprRollZero, Cesium.Ellipsoid.WGS84, converter);
-  scene.primitives.add(new Cesium.DebugModelMatrixPrimitive({
-    modelMatrix : modelMatrix,
-    length : 300.0,
-    width : 10.0
-  }));
+    primitives.push({primitive : planePrimitive, converter : converter, position : position});
+    var modelMatrix = Cesium.Transforms.headingPitchRollToFixedFrame(position, hprRollZero, Cesium.Ellipsoid.WGS84, converter);
+    scene.primitives.add(new Cesium.DebugModelMatrixPrimitive({
+        modelMatrix : modelMatrix,
+        length : 300.0,
+        width : 10.0
+    }));
 
-  var positionLabel = position.clone();
-  positionLabel.z = position.z + 300.0;
-  viewer.entities.add({
-          position : positionLabel,
-          label : {
-              text : comments,
-              font : '24px Helvetica',
-              fillColor : Cesium.Color.SKYBLUE,
-              outlineColor : Cesium.Color.BLACK,
-              outlineWidth : 2,
-              style : Cesium.LabelStyle.FILL_AND_OUTLINE,
-              verticalOrigin : Cesium.VerticalOrigin.CENTER,
-              HorizontalOrigin : Cesium.HorizontalOrigin.RIGHT
-          }
-      });
+    var positionLabel = position.clone();
+    positionLabel.z = position.z + 300.0;
+    viewer.entities.add({
+        position : positionLabel,
+        label : {
+            text : comments,
+            font : '24px Helvetica',
+            fillColor : Cesium.Color.SKYBLUE,
+            outlineColor : Cesium.Color.BLACK,
+            outlineWidth : 2,
+            style : Cesium.LabelStyle.FILL_AND_OUTLINE,
+            verticalOrigin : Cesium.VerticalOrigin.CENTER,
+            HorizontalOrigin : Cesium.HorizontalOrigin.RIGHT
+        }
+    });
 }
 
 primitives[0].primitive.readyPromise.then(function(model) {
@@ -161,18 +161,18 @@ <h1>Loading...</h1>
 document.addEventListener('keydown', function(e) {
     switch (e.keyCode) {
         case 40:
-                // pitch down
-                hpRoll.pitch -= deltaRadians;
-                if (hpRoll.pitch < -Cesium.Math.TWO_PI) {
-                    hpRoll.pitch += Cesium.Math.TWO_PI;
-                }
+            // pitch down
+            hpRoll.pitch -= deltaRadians;
+            if (hpRoll.pitch < -Cesium.Math.TWO_PI) {
+                hpRoll.pitch += Cesium.Math.TWO_PI;
+            }
             break;
         case 38:
-                // pitch up
-                hpRoll.pitch += deltaRadians;
-                if (hpRoll.pitch > Cesium.Math.TWO_PI) {
-                    hpRoll.pitch -= Cesium.Math.TWO_PI;
-                }
+            // pitch up
+            hpRoll.pitch += deltaRadians;
+            if (hpRoll.pitch > Cesium.Math.TWO_PI) {
+                hpRoll.pitch -= Cesium.Math.TWO_PI;
+            }
             break;
         case 39:
             if (e.shiftKey) {
@@ -217,13 +217,14 @@ <h1>Loading...</h1>
     pitchSpan.innerHTML = Cesium.Math.toDegrees(hpRoll.pitch).toFixed(1);
     rollSpan.innerHTML = Cesium.Math.toDegrees(hpRoll.roll).toFixed(1);
 
-    for( var i = 0; i < primitives.length; i++){
-      var primitive = primitives[i].primitive;
-      var converter = primitives[i].converter;
-      var position = primitives[i].position;
-      Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter, primitive.modelMatrix);
+    for (var i = 0; i < primitives.length; i++) {
+        var primitive = primitives[i].primitive;
+        var converter = primitives[i].converter;
+        var position = primitives[i].position;
+        Cesium.Transforms.headingPitchRollToFixedFrame(position, hpRoll, Cesium.Ellipsoid.WGS84, converter, primitive.modelMatrix);
     }
-});//Sandcastle_End
+});
+//Sandcastle_End
     Sandcastle.finishedLoading();
 }
 if (typeof Cesium !== "undefined") {
diff --git a/CHANGES.md b/CHANGES.md
index 91500641faf4..f8a4db7ca6f1 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -25,7 +25,6 @@ Change Log
 
 * Deprecated
     * The properties `url` and `key` will be removed from `GeocoderViewModel` in 1.31. These properties will be available on geocoder services that support them, like `BingMapsGeocoderService`.
-    * The function `createBinormalAndBitangent` of `GeometryPipeline` will be removed in 1.31. Use the function `createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The function `GeometryPipeline.computeBinormalAndTangent` will be removed in 1.31. Use `GeometryPipeline.createTangentAndBitangent` instead. [#4856](https://github.com/AnalyticalGraphicsInc/cesium/pull/4856)
     * The enums `MIDDLE_DOUBLE_CLICK` and `RIGHT_DOUBLE_CLICK` from `ScreenSpaceEventType` have been deprecated and will be removed in 1.31. [#4910](https://github.com/AnalyticalGraphicsInc/cesium/pull/4910)
 * Breaking changes
@@ -48,8 +47,6 @@ Change Log
 * Fixed a bug that affected dynamic graphics with time-dynamic modelMatrix. [#4907](https://github.com/AnalyticalGraphicsInc/cesium/pull/4907)
 * Fixed `Geocoder` autocomplete drop down visibility in Firefox. [#4916](https://github.com/AnalyticalGraphicsInc/cesium/issues/4916)
 * Added `Rectangle.fromRadians`.
-* `TerrainProvider` now optionally exposes an `availability` property that can be used to query the terrain level that is available at a location or in a rectangle.  Currently only `CesiumTerrainProvider` exposes this property.
-* Added `sampleTerrainMostDetailed` to sample the height of an array of positions using the best available terrain data at each point.  This requires a `TerrainProvider` with the `availability` property.
 * Updated the morph so the default view in Columbus View is now angled. [#3878](https://github.com/AnalyticalGraphicsInc/cesium/issues/3878)
 * Added 2D and Columbus View support for models using the RTC extension or whose vertices are in WGS84 coordinates. [#4922](https://github.com/AnalyticalGraphicsInc/cesium/pull/4922)
 * The attribute `perInstanceAttribute` of `DebugAppearance` has been made optional and defaults to `false`.
diff --git a/Source/Core/Transforms.js b/Source/Core/Transforms.js
index e63824a7c152..75547a76aa2f 100644
--- a/Source/Core/Transforms.js
+++ b/Source/Core/Transforms.js
@@ -53,73 +53,64 @@ define([
      * @exports Transforms
      */
     var Transforms = {};
+
     var vectorProductLocalFrame = {
-      up: {
-        south: 'east',
-        north: 'west',
-        west: 'south',
-        east: 'north'
-      },
-      down: {
-        south: 'west',
-        north: 'east',
-        west: 'north',
-        east: 'south'
-      },
-      south: {
-        up: 'west',
-        down: 'east',
-        west: 'down',
-        east: 'up'
-      },
-      north: {
-        up: 'east',
-        down: 'west',
-        west: 'up',
-        east: 'down'
-      },
-      west: {
-        up: 'north',
-        down: 'south',
-        north: 'down',
-        south: 'up'
-      },
-      east: {
-        up: 'south',
-        down: 'north',
-        north: 'up',
-        south: 'down'
-      }
+        up : {
+            south : 'east',
+            north : 'west',
+            west : 'south',
+            east : 'north'
+        },
+        down : {
+            south : 'west',
+            north : 'east',
+            west : 'north',
+            east : 'south'
+        },
+        south : {
+            up : 'west',
+            down : 'east',
+            west : 'down',
+            east : 'up'
+        },
+        north : {
+            up : 'east',
+            down : 'west',
+            west : 'up',
+            east : 'down'
+        },
+        west : {
+            up : 'north',
+            down : 'south',
+            north : 'down',
+            south : 'up'
+        },
+        east : {
+            up : 'south',
+            down : 'north',
+            north : 'up',
+            south : 'down'
+        }
     };
 
     var degeneratePositionLocalFrame = {
-      north: [
-        -1, 0, 0
-      ],
-      east: [
-        0, 1, 0
-      ],
-      up: [
-        0, 0, 1
-      ],
-      south: [
-        1, 0, 0
-      ],
-      west: [
-        0, -1, 0
-      ],
-      down: [0, 0, -1]
+        north : [-1, 0, 0],
+        east : [0, 1, 0],
+        up : [0, 0, 1],
+        south : [1, 0, 0],
+        west : [0, -1, 0],
+        down : [0, 0, -1]
     };
 
     var localFrameToFixedFrameCache = {};
 
     var scratchCalculateCartesian = {
-      east: new Cartesian3(),
-      north: new Cartesian3(),
-      up: new Cartesian3(),
-      west: new Cartesian3(),
-      south: new Cartesian3(),
-      down: new Cartesian3()
+        east : new Cartesian3(),
+        north : new Cartesian3(),
+        up : new Cartesian3(),
+        west : new Cartesian3(),
+        south : new Cartesian3(),
+        down : new Cartesian3()
     };
     var scratchFirstCartesian = new Cartesian3();
     var scratchSecondCartesian = new Cartesian3();
@@ -140,7 +131,6 @@ define([
       }
       var thirdAxis = vectorProductLocalFrame[firstAxis][secondAxis];
 
-
       /**
        * Computes a 4x4 transformation matrix from a reference frame
        * centered at the provided origin to the provided ellipsoid's fixed reference frame.
@@ -349,8 +339,7 @@ define([
         if(fixedFrameTransformOrResult instanceof Matrix4){
             result = fixedFrameTransformOrResult;
             fixedFrameTransformOrResult = undefined;
-            deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. ' +
-            'Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
+            deprecationWarning('Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         }
         fixedFrameTransformOrResult = defaultValue(fixedFrameTransformOrResult,Transforms.eastNorthUpToFixedFrame);
         var hprQuaternion = Quaternion.fromHeadingPitchRoll(headingPitchRoll, scratchHPRQuaternion);
@@ -389,11 +378,10 @@ define([
         //>>includeStart('debug', pragmas.debug);
         Check.typeOf.object( 'HeadingPitchRoll', headingPitchRoll);
         //>>includeEnd('debug');
-        if(fixedFrameTransformOrResult instanceof Quaternion){
-          result = fixedFrameTransformOrResult;
-          fixedFrameTransformOrResult = undefined;
-          deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. ' +
-          'Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
+        if (fixedFrameTransformOrResult instanceof Quaternion) {
+            result = fixedFrameTransformOrResult;
+            fixedFrameTransformOrResult = undefined;
+            deprecationWarning('Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, result)', 'The method was deprecated in Cesium 1.31 and will be removed in version 1.33. Transforms.headingPitchRollQuaternion(origin, headingPitchRoll, ellipsoid, fixedFrameTransform, result) where fixedFrameTransform is a a 4x4 transformation matrix (see Transforms.localFrameToFixedFrameGenerator)');
         }
         var transform = Transforms.headingPitchRollToFixedFrame(origin, headingPitchRoll, ellipsoid,fixedFrameTransformOrResult, scratchENUMatrix4);
         var rotation = Matrix4.getRotation(transform, scratchHPRMatrix3);
diff --git a/Specs/Core/TransformsSpec.js b/Specs/Core/TransformsSpec.js
index d9a42f74112d..365f6dad36d6 100644
--- a/Specs/Core/TransformsSpec.js
+++ b/Specs/Core/TransformsSpec.js
@@ -232,147 +232,148 @@ defineSuite([
     });
 
     it('normal use of localFrameToFixedFrameGenerator', function() {
-      var cartesianTab = [
-        new Cartesian3(0.0, 0.0, 1.0),
-        new Cartesian3(0.0, 0.0, -1.0),
-        new Cartesian3(10.0, 20.0, 30.0),
-        new Cartesian3(-10.0, -20.0, -30.0),
-        new Cartesian3(-25.0, 60.0, -1.0),
-        new Cartesian3(9.0, 0.0, -7.0)
-      ];
-
-      var converterTab = [
-        {
-          converter: Transforms.localFrameToFixedFrameGenerator('north', 'east'),
-          order: ['north', 'east', 'down']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('north', 'west'),
-          order: ['north', 'west', 'up']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('north', 'up'),
-          order: ['north', 'up', 'east']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('north', 'down'),
-          order: ['north', 'down', 'west']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('south', 'east'),
-          order: ['south', 'east', 'up']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('south', 'west'),
-          order: ['south', 'west', 'down']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('south', 'up'),
-          order: ['south', 'up', 'west']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('south', 'down'),
-          order: ['south', 'down', 'east']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('east', 'north'),
-          order: ['east', 'north', 'up']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('east', 'south'),
-          order: ['east', 'south', 'down']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('east', 'up'),
-          order: ['east', 'up', 'south']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('east', 'down'),
-          order: ['east', 'down', 'north']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('west', 'north'),
-          order: ['west', 'north', 'down']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('west', 'south'),
-          order: ['west', 'south', 'up']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('west', 'up'),
-          order: ['west', 'up', 'north']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('west', 'down'),
-          order: ['west', 'down', 'south']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('up', 'north'),
-          order: ['up', 'north', 'west']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('up', 'south'),
-          order: ['up', 'south', 'east']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('up', 'east'),
-          order: ['up', 'east', 'north']
-        }, {
-          converter: Transforms.localFrameToFixedFrameGenerator('up', 'west'),
-          order: ['up', 'west', 'south']
-        }
-      ];
-
-      function testAllLocalFrame(classicalENUMatrix, position) {
-        var ENUColumn = new Cartesian4();
-        var converterColumn = new Cartesian4();
-        for (var i = 0; i < converterTab.length; i++) {
-          var converterMatrix = (converterTab[i].converter)(position, Ellipsoid.UNIT_SPHERE);
-          var order = converterTab[i].order;
-          // check translation
-          Matrix4.getColumn(classicalENUMatrix, 3, ENUColumn);
-          Matrix4.getColumn(converterMatrix, 3, converterColumn);
-          expect(ENUColumn).toEqual(converterColumn);
-          // check axis
-          for (var j = 0; j < 3; j++) {
-            Matrix4.getColumn(converterMatrix, j, converterColumn);
-            var axisName = order[j];
-            if (axisName === 'east') {
-              Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
-            } else if (axisName === 'west') {
-              Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
-              Cartesian4.negate(ENUColumn, ENUColumn);
-            } else if (axisName === 'north') {
-              Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
-            } else if (axisName === 'south') {
-              Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
-              Cartesian4.negate(ENUColumn, ENUColumn);
-            } else if (axisName === 'up') {
-              Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
-            } else if (axisName === 'down') {
-              Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
-              Cartesian4.negate(ENUColumn, ENUColumn);
+        var cartesianTab = [
+            new Cartesian3(0.0, 0.0, 1.0),
+            new Cartesian3(0.0, 0.0, -1.0),
+            new Cartesian3(10.0, 20.0, 30.0),
+            new Cartesian3(-10.0, -20.0, -30.0),
+            new Cartesian3(-25.0, 60.0, -1.0),
+            new Cartesian3(9.0, 0.0, -7.0)
+        ];
+
+        var converterTab = [
+            {
+                converter : Transforms.localFrameToFixedFrameGenerator('north', 'east'),
+                order : ['north', 'east', 'down']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('north', 'west'),
+                order : ['north', 'west', 'up']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('north', 'up'),
+                order : ['north', 'up', 'east']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('north', 'down'),
+                order : ['north', 'down', 'west']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('south', 'east'),
+                order : ['south', 'east', 'up']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('south', 'west'),
+                order : ['south', 'west', 'down']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('south', 'up'),
+                order : ['south', 'up', 'west']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('south', 'down'),
+                order : ['south', 'down', 'east']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('east', 'north'),
+                order : ['east', 'north', 'up']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('east', 'south'),
+                order : ['east', 'south', 'down']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('east', 'up'),
+                order : ['east', 'up', 'south']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('east', 'down'),
+                order : ['east', 'down', 'north']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('west', 'north'),
+                order : ['west', 'north', 'down']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('west', 'south'),
+                order : ['west', 'south', 'up']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('west', 'up'),
+                order : ['west', 'up', 'north']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('west', 'down'),
+                order : ['west', 'down', 'south']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('up', 'north'),
+                order : ['up', 'north', 'west']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('up', 'south'),
+                order : ['up', 'south', 'east']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('up', 'east'),
+                order : ['up', 'east', 'north']
+            }, {
+                converter : Transforms.localFrameToFixedFrameGenerator('up', 'west'),
+                order : ['up', 'west', 'south']
+            }
+        ];
+
+        function testAllLocalFrame(classicalENUMatrix, position) {
+            var ENUColumn = new Cartesian4();
+            var converterColumn = new Cartesian4();
+            for (var i = 0; i < converterTab.length; i++) {
+                var converterMatrix = (converterTab[i].converter)(position, Ellipsoid.UNIT_SPHERE);
+                var order = converterTab[i].order;
+                // check translation
+                Matrix4.getColumn(classicalENUMatrix, 3, ENUColumn);
+                Matrix4.getColumn(converterMatrix, 3, converterColumn);
+                expect(ENUColumn).toEqual(converterColumn);
+                // check axis
+                for (var j = 0; j < 3; j++) {
+                    Matrix4.getColumn(converterMatrix, j, converterColumn);
+                    var axisName = order[j];
+                    if (axisName === 'east') {
+                        Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
+                    } else if (axisName === 'west') {
+                        Matrix4.getColumn(classicalENUMatrix, 0, ENUColumn);
+                        Cartesian4.negate(ENUColumn, ENUColumn);
+                    } else if (axisName === 'north') {
+                        Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
+                    } else if (axisName === 'south') {
+                        Matrix4.getColumn(classicalENUMatrix, 1, ENUColumn);
+                        Cartesian4.negate(ENUColumn, ENUColumn);
+                    } else if (axisName === 'up') {
+                        Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
+                    } else if (axisName === 'down') {
+                        Matrix4.getColumn(classicalENUMatrix, 2, ENUColumn);
+                        Cartesian4.negate(ENUColumn, ENUColumn);
+                    }
+                    expect(ENUColumn).toEqual(converterColumn);
+                }
             }
-            expect(ENUColumn).toEqual(converterColumn);
-          }
         }
-      }
 
-      for (var i = 0; i < cartesianTab.length; i++) {
-        var cartesian = cartesianTab[i];
-        var classicalEastNorthUpReferential = Transforms.eastNorthUpToFixedFrame(cartesian, Ellipsoid.UNIT_SPHERE);
-        testAllLocalFrame(classicalEastNorthUpReferential,cartesian);
-      }
+        for (var i = 0; i < cartesianTab.length; i++) {
+            var cartesian = cartesianTab[i];
+            var classicalEastNorthUpReferential = Transforms.eastNorthUpToFixedFrame(cartesian, Ellipsoid.UNIT_SPHERE);
+            testAllLocalFrame(classicalEastNorthUpReferential, cartesian);
+        }
     });
 
     it('abnormal use of localFrameToFixedFrameGenerator', function() {
-      function checkDeveloperError(firstAxis,secondAxis){
-        expect(function() {
-            Transforms.localFrameToFixedFrameGenerator(firstAxis, secondAxis);
-        }).toThrowDeveloperError();
-      }
-      checkDeveloperError(undefined,undefined);
-      checkDeveloperError('north',undefined);
-      checkDeveloperError(undefined,'north');
-      checkDeveloperError('south',undefined);
-      checkDeveloperError('northe','southe');
-
-      checkDeveloperError('north','north');
-      checkDeveloperError('north','south');
-      checkDeveloperError('south','north');
-      checkDeveloperError('south','south');
-
-      checkDeveloperError('up','up');
-      checkDeveloperError('up','down');
-      checkDeveloperError('down','up');
-      checkDeveloperError('down','down');
-
-      checkDeveloperError('east','east');
-      checkDeveloperError('east','west');
-      checkDeveloperError('west','east');
-      checkDeveloperError('west','west');
+        function checkDeveloperError(firstAxis, secondAxis) {
+            expect(function() {
+                Transforms.localFrameToFixedFrameGenerator(firstAxis, secondAxis);
+            }).toThrowDeveloperError();
+        }
+
+        checkDeveloperError(undefined, undefined);
+        checkDeveloperError('north', undefined);
+        checkDeveloperError(undefined, 'north');
+        checkDeveloperError('south', undefined);
+        checkDeveloperError('northe', 'southe');
+
+        checkDeveloperError('north', 'north');
+        checkDeveloperError('north', 'south');
+        checkDeveloperError('south', 'north');
+        checkDeveloperError('south', 'south');
+
+        checkDeveloperError('up', 'up');
+        checkDeveloperError('up', 'down');
+        checkDeveloperError('down', 'up');
+        checkDeveloperError('down', 'down');
+
+        checkDeveloperError('east', 'east');
+        checkDeveloperError('east', 'west');
+        checkDeveloperError('west', 'east');
+        checkDeveloperError('west', 'west');
     });
 
     it('headingPitchRollToFixedFrame works without a result parameter', function() {
@@ -518,7 +519,6 @@ defineSuite([
         expect(actualUp).toEqual(expectedUp);
         expect(actualTranslation).toEqual(origin);
 
-
         var UNEFixedFrameConverter = Transforms.localFrameToFixedFrameGenerator('west','south'); // up north east
         returnedResult = Transforms.headingPitchRollToFixedFrame(origin, hpr, Ellipsoid.UNIT_SPHERE, UNEFixedFrameConverter, result);
         actualEast = Cartesian3.fromCartesian4(Matrix4.getColumn(returnedResult, 0, new Cartesian4())); // east