text: /*global define*/
  define([
          './Cartesian3',
          './defaultValue',
          './defined',
          './DeveloperError',
          './freezeObject',
          './Math'
      ], function(
          Cartesian3,
          defaultValue,
          defined,
          DeveloperError,
          freezeObject,
          CesiumMath) {
      "use strict";
  
      /**
       * A 3x3 matrix, indexable as a column-major order array.
       * Constructor parameters are in row-major order for code readability.
       * @alias Matrix3
       * @constructor
       *
       * @param {Number} [column0Row0=0.0] The value for column 0, row 0.
       * @param {Number} [column1Row0=0.0] The value for column 1, row 0.
       * @param {Number} [column2Row0=0.0] The value for column 2, row 0.
       * @param {Number} [column0Row1=0.0] The value for column 0, row 1.
       * @param {Number} [column1Row1=0.0] The value for column 1, row 1.
       * @param {Number} [column2Row1=0.0] The value for column 2, row 1.
       * @param {Number} [column0Row2=0.0] The value for column 0, row 2.
       * @param {Number} [column1Row2=0.0] The value for column 1, row 2.
       * @param {Number} [column2Row2=0.0] The value for column 2, row 2.
       *
       * @see Matrix3.fromColumnMajorArray
       * @see Matrix3.fromRowMajorArray
       * @see Matrix3.fromQuaternion
       * @see Matrix3.fromScale
       * @see Matrix3.fromUniformScale
       * @see Matrix2
       * @see Matrix4
       */
      function Matrix3(column0Row0, column1Row0, column2Row0,
                             column0Row1, column1Row1, column2Row1,
                             column0Row2, column1Row2, column2Row2) {
          this[0] = defaultValue(column0Row0, 0.0);
          this[1] = defaultValue(column0Row1, 0.0);
          this[2] = defaultValue(column0Row2, 0.0);
          this[3] = defaultValue(column1Row0, 0.0);
          this[4] = defaultValue(column1Row1, 0.0);
          this[5] = defaultValue(column1Row2, 0.0);
          this[6] = defaultValue(column2Row0, 0.0);
          this[7] = defaultValue(column2Row1, 0.0);
          this[8] = defaultValue(column2Row2, 0.0);
      }
  
      /**
       * The number of elements used to pack the object into an array.
       * @type {Number}
       */
      Matrix3.packedLength = 9;
  
      /**
       * Stores the provided instance into the provided array.
       *
       * @param {Matrix3} value The value to pack.
       * @param {Number[]} array The array to pack into.
       * @param {Number} [startingIndex=0] The index into the array at which to start packing the elements.
       */
      Matrix3.pack = function(value, array, startingIndex) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(value)) {
              throw new DeveloperError('value is required');
          }
  
          if (!defined(array)) {
              throw new DeveloperError('array is required');
          }
          //>>includeEnd('debug');
  
          startingIndex = defaultValue(startingIndex, 0);
  
          array[startingIndex++] = value[0];
          array[startingIndex++] = value[1];
          array[startingIndex++] = value[2];
          array[startingIndex++] = value[3];
          array[startingIndex++] = value[4];
          array[startingIndex++] = value[5];
          array[startingIndex++] = value[6];
          array[startingIndex++] = value[7];
          array[startingIndex++] = value[8];
      };
  
      /**
       * Retrieves an instance from a packed array.
       *
       * @param {Number[]} array The packed array.
       * @param {Number} [startingIndex=0] The starting index of the element to be unpacked.
       * @param {Matrix3} [result] The object into which to store the result.
       * @returns {Matrix3} The modified result parameter or a new Matrix3 instance if one was not provided.
       */
      Matrix3.unpack = function(array, startingIndex, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(array)) {
              throw new DeveloperError('array is required');
          }
          //>>includeEnd('debug');
  
          startingIndex = defaultValue(startingIndex, 0);
  
          if (!defined(result)) {
              result = new Matrix3();
          }
  
          result[0] = array[startingIndex++];
          result[1] = array[startingIndex++];
          result[2] = array[startingIndex++];
          result[3] = array[startingIndex++];
          result[4] = array[startingIndex++];
          result[5] = array[startingIndex++];
          result[6] = array[startingIndex++];
          result[7] = array[startingIndex++];
          result[8] = array[startingIndex++];
          return result;
      };
  
      /**
       * Duplicates a Matrix3 instance.
       *
       * @param {Matrix3} matrix The matrix to duplicate.
       * @param {Matrix3} [result] The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter or a new Matrix3 instance if one was not provided. (Returns undefined if matrix is undefined)
       */
      Matrix3.clone = function(values, result) {
          if (!defined(values)) {
              return undefined;
          }
          if (!defined(result)) {
              return new Matrix3(values[0], values[3], values[6],
                                 values[1], values[4], values[7],
                                 values[2], values[5], values[8]);
          }
          result[0] = values[0];
          result[1] = values[1];
          result[2] = values[2];
          result[3] = values[3];
          result[4] = values[4];
          result[5] = values[5];
          result[6] = values[6];
          result[7] = values[7];
          result[8] = values[8];
          return result;
      };
  
      /**
       * Creates a Matrix3 from 9 consecutive elements in an array.
       *
       * @param {Number[]} array The array whose 9 consecutive elements correspond to the positions of the matrix.  Assumes column-major order.
       * @param {Number} [startingIndex=0] The offset into the array of the first element, which corresponds to first column first row position in the matrix.
       * @param {Matrix3} [result] The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Create the Matrix3:
       * // [1.0, 2.0, 3.0]
       * // [1.0, 2.0, 3.0]
       * // [1.0, 2.0, 3.0]
       *
       * var v = [1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0];
       * var m = Cesium.Matrix3.fromArray(v);
       *
       * // Create same Matrix3 with using an offset into an array
       * var v2 = [0.0, 0.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0];
       * var m2 = Cesium.Matrix3.fromArray(v2, 2);
       */
      Matrix3.fromArray = function(array, startingIndex, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(array)) {
              throw new DeveloperError('array is required');
          }
          //>>includeEnd('debug');
  
          startingIndex = defaultValue(startingIndex, 0);
  
          if (!defined(result)) {
              result = new Matrix3();
          }
  
          result[0] = array[startingIndex];
          result[1] = array[startingIndex + 1];
          result[2] = array[startingIndex + 2];
          result[3] = array[startingIndex + 3];
          result[4] = array[startingIndex + 4];
          result[5] = array[startingIndex + 5];
          result[6] = array[startingIndex + 6];
          result[7] = array[startingIndex + 7];
          result[8] = array[startingIndex + 8];
          return result;
      };
  
      /**
       * Creates a Matrix3 instance from a column-major order array.
       *
       * @param {Number[]} values The column-major order array.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       */
      Matrix3.fromColumnMajorArray = function(values, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(values)) {
              throw new DeveloperError('values parameter is required');
          }
          //>>includeEnd('debug');
  
          return Matrix3.clone(values, result);
      };
  
      /**
       * Creates a Matrix3 instance from a row-major order array.
       * The resulting matrix will be in column-major order.
       *
       * @param {Number[]} values The row-major order array.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       */
      Matrix3.fromRowMajorArray = function(values, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(values)) {
              throw new DeveloperError('values is required.');
          }
          //>>includeEnd('debug');
  
          if (!defined(result)) {
              return new Matrix3(values[0], values[1], values[2],
                                 values[3], values[4], values[5],
                                 values[6], values[7], values[8]);
          }
          result[0] = values[0];
          result[1] = values[3];
          result[2] = values[6];
          result[3] = values[1];
          result[4] = values[4];
          result[5] = values[7];
          result[6] = values[2];
          result[7] = values[5];
          result[8] = values[8];
          return result;
      };
  
      /**
       * Computes a 3x3 rotation matrix from the provided quaternion.
       *
       * @param {Quaternion} quaternion the quaternion to use.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The 3x3 rotation matrix from this quaternion.
       */
      Matrix3.fromQuaternion = function(quaternion, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(quaternion)) {
              throw new DeveloperError('quaternion is required');
          }
          //>>includeEnd('debug');
  
          var x2 = quaternion.x * quaternion.x;
          var xy = quaternion.x * quaternion.y;
          var xz = quaternion.x * quaternion.z;
          var xw = quaternion.x * quaternion.w;
          var y2 = quaternion.y * quaternion.y;
          var yz = quaternion.y * quaternion.z;
          var yw = quaternion.y * quaternion.w;
          var z2 = quaternion.z * quaternion.z;
          var zw = quaternion.z * quaternion.w;
          var w2 = quaternion.w * quaternion.w;
  
          var m00 = x2 - y2 - z2 + w2;
          var m01 = 2.0 * (xy - zw);
          var m02 = 2.0 * (xz + yw);
  
          var m10 = 2.0 * (xy + zw);
          var m11 = -x2 + y2 - z2 + w2;
          var m12 = 2.0 * (yz - xw);
  
          var m20 = 2.0 * (xz - yw);
          var m21 = 2.0 * (yz + xw);
          var m22 = -x2 - y2 + z2 + w2;
  
          if (!defined(result)) {
              return new Matrix3(m00, m01, m02,
                                 m10, m11, m12,
                                 m20, m21, m22);
          }
          result[0] = m00;
          result[1] = m10;
          result[2] = m20;
          result[3] = m01;
          result[4] = m11;
          result[5] = m21;
          result[6] = m02;
          result[7] = m12;
          result[8] = m22;
          return result;
      };
  
      /**
       * Computes a Matrix3 instance representing a non-uniform scale.
       *
       * @param {Cartesian3} scale The x, y, and z scale factors.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Creates
       * //   [7.0, 0.0, 0.0]
       * //   [0.0, 8.0, 0.0]
       * //   [0.0, 0.0, 9.0]
       * var m = Cesium.Matrix3.fromScale(new Cesium.Cartesian3(7.0, 8.0, 9.0));
       */
      Matrix3.fromScale = function(scale, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(scale)) {
              throw new DeveloperError('scale is required.');
          }
          //>>includeEnd('debug');
  
          if (!defined(result)) {
              return new Matrix3(
                  scale.x, 0.0,     0.0,
                  0.0,     scale.y, 0.0,
                  0.0,     0.0,     scale.z);
          }
  
          result[0] = scale.x;
          result[1] = 0.0;
          result[2] = 0.0;
          result[3] = 0.0;
          result[4] = scale.y;
          result[5] = 0.0;
          result[6] = 0.0;
          result[7] = 0.0;
          result[8] = scale.z;
          return result;
      };
  
      /**
       * Computes a Matrix3 instance representing a uniform scale.
       *
       * @param {Number} scale The uniform scale factor.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Creates
       * //   [2.0, 0.0, 0.0]
       * //   [0.0, 2.0, 0.0]
       * //   [0.0, 0.0, 2.0]
       * var m = Cesium.Matrix3.fromUniformScale(2.0);
       */
      Matrix3.fromUniformScale = function(scale, result) {
          //>>includeStart('debug', pragmas.debug);
          if (typeof scale !== 'number') {
              throw new DeveloperError('scale is required.');
          }
          //>>includeEnd('debug');
  
          if (!defined(result)) {
              return new Matrix3(
                  scale, 0.0,   0.0,
                  0.0,   scale, 0.0,
                  0.0,   0.0,   scale);
          }
  
          result[0] = scale;
          result[1] = 0.0;
          result[2] = 0.0;
          result[3] = 0.0;
          result[4] = scale;
          result[5] = 0.0;
          result[6] = 0.0;
          result[7] = 0.0;
          result[8] = scale;
          return result;
      };
  
      /**
       * Computes a Matrix3 instance representing the cross product equivalent matrix of a Cartesian3 vector.
       *
       * @param {Cartesian3} the vector on the left hand side of the cross product operation.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Creates
       * //   [0.0, -9.0,  8.0]
       * //   [9.0,  0.0, -7.0]
       * //   [-8.0, 7.0,  0.0]
       * var m = Cesium.Matrix3.fromCrossProduct(new Cesium.Cartesian3(7.0, 8.0, 9.0));
       */
      Matrix3.fromCrossProduct = function(vector, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(vector)) {
              throw new DeveloperError('vector is required.');
          }
          //>>includeEnd('debug');
  
          if (!defined(result)) {
              return new Matrix3(
                        0.0, -vector.z,  vector.y,
                   vector.z,       0.0, -vector.x,
                  -vector.y,  vector.x,       0.0);
          }
  
          result[0] = 0.0;
          result[1] = vector.z;
          result[2] = -vector.y;
          result[3] = -vector.z;
          result[4] = 0.0;
          result[5] = vector.x;
          result[6] = vector.y;
          result[7] = -vector.x;
          result[8] = 0.0;
          return result;
      };
  
      /**
       * Creates a rotation matrix around the x-axis.
       *
       * @param {Number} angle The angle, in radians, of the rotation.  Positive angles are counterclockwise.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Rotate a point 45 degrees counterclockwise around the x-axis.
       * var p = new Cesium.Cartesian3(5, 6, 7);
       * var m = Cesium.Matrix3.fromRotationX(Cesium.Math.toRadians(45.0));
       * var rotated = Cesium.Matrix3.multiplyByVector(m, p, new Cesium.Cartesian3());
       */
      Matrix3.fromRotationX = function(angle, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(angle)) {
              throw new DeveloperError('angle is required.');
          }
          //>>includeEnd('debug');
  
          var cosAngle = Math.cos(angle);
          var sinAngle = Math.sin(angle);
  
          if (!defined(result)) {
              return new Matrix3(
                  1.0, 0.0, 0.0,
                  0.0, cosAngle, -sinAngle,
                  0.0, sinAngle, cosAngle);
          }
  
          result[0] = 1.0;
          result[1] = 0.0;
          result[2] = 0.0;
          result[3] = 0.0;
          result[4] = cosAngle;
          result[5] = sinAngle;
          result[6] = 0.0;
          result[7] = -sinAngle;
          result[8] = cosAngle;
  
          return result;
      };
  
      /**
       * Creates a rotation matrix around the y-axis.
       *
       * @param {Number} angle The angle, in radians, of the rotation.  Positive angles are counterclockwise.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Rotate a point 45 degrees counterclockwise around the y-axis.
       * var p = new Cesium.Cartesian3(5, 6, 7);
       * var m = Cesium.Matrix3.fromRotationY(Cesium.Math.toRadians(45.0));
       * var rotated = Cesium.Matrix3.multiplyByVector(m, p, new Cesium.Cartesian3());
       */
      Matrix3.fromRotationY = function(angle, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(angle)) {
              throw new DeveloperError('angle is required.');
          }
          //>>includeEnd('debug');
  
          var cosAngle = Math.cos(angle);
          var sinAngle = Math.sin(angle);
  
          if (!defined(result)) {
              return new Matrix3(
                  cosAngle, 0.0, sinAngle,
                  0.0, 1.0, 0.0,
                  -sinAngle, 0.0, cosAngle);
          }
  
          result[0] = cosAngle;
          result[1] = 0.0;
          result[2] = -sinAngle;
          result[3] = 0.0;
          result[4] = 1.0;
          result[5] = 0.0;
          result[6] = sinAngle;
          result[7] = 0.0;
          result[8] = cosAngle;
  
          return result;
      };
  
      /**
       * Creates a rotation matrix around the z-axis.
       *
       * @param {Number} angle The angle, in radians, of the rotation.  Positive angles are counterclockwise.
       * @param {Matrix3} [result] The object in which the result will be stored, if undefined a new instance will be created.
       * @returns {Matrix3} The modified result parameter, or a new Matrix3 instance if one was not provided.
       *
       * @example
       * // Rotate a point 45 degrees counterclockwise around the z-axis.
       * var p = new Cesium.Cartesian3(5, 6, 7);
       * var m = Cesium.Matrix3.fromRotationZ(Cesium.Math.toRadians(45.0));
       * var rotated = Cesium.Matrix3.multiplyByVector(m, p, new Cesium.Cartesian3());
       */
      Matrix3.fromRotationZ = function(angle, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(angle)) {
              throw new DeveloperError('angle is required.');
          }
          //>>includeEnd('debug');
  
          var cosAngle = Math.cos(angle);
          var sinAngle = Math.sin(angle);
  
          if (!defined(result)) {
              return new Matrix3(
                  cosAngle, -sinAngle, 0.0,
                  sinAngle, cosAngle, 0.0,
                  0.0, 0.0, 1.0);
          }
  
          result[0] = cosAngle;
          result[1] = sinAngle;
          result[2] = 0.0;
          result[3] = -sinAngle;
          result[4] = cosAngle;
          result[5] = 0.0;
          result[6] = 0.0;
          result[7] = 0.0;
          result[8] = 1.0;
  
          return result;
      };
  
      /**
       * Creates an Array from the provided Matrix3 instance.
       * The array will be in column-major order.
       *
       * @param {Matrix3} matrix The matrix to use..
       * @param {Number[]} [result] The Array onto which to store the result.
       * @returns {Number[]} The modified Array parameter or a new Array instance if one was not provided.
       */
      Matrix3.toArray = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          //>>includeEnd('debug');
  
          if (!defined(result)) {
              return [matrix[0], matrix[1], matrix[2], matrix[3], matrix[4], matrix[5], matrix[6], matrix[7], matrix[8]];
          }
          result[0] = matrix[0];
          result[1] = matrix[1];
          result[2] = matrix[2];
          result[3] = matrix[3];
          result[4] = matrix[4];
          result[5] = matrix[5];
          result[6] = matrix[6];
          result[7] = matrix[7];
          result[8] = matrix[8];
          return result;
      };
  
      /**
       * Computes the array index of the element at the provided row and column.
       *
       * @param {Number} row The zero-based index of the row.
       * @param {Number} column The zero-based index of the column.
       * @returns {Number} The index of the element at the provided row and column.
       *
       * @exception {DeveloperError} row must be 0, 1, or 2.
       * @exception {DeveloperError} column must be 0, 1, or 2.
       *
       * @example
       * var myMatrix = new Cesium.Matrix3();
       * var column1Row0Index = Cesium.Matrix3.getElementIndex(1, 0);
       * var column1Row0 = myMatrix[column1Row0Index]
       * myMatrix[column1Row0Index] = 10.0;
       */
      Matrix3.getElementIndex = function(column, row) {
          //>>includeStart('debug', pragmas.debug);
          if (typeof row !== 'number' || row < 0 || row > 2) {
              throw new DeveloperError('row must be 0, 1, or 2.');
          }
          if (typeof column !== 'number' || column < 0 || column > 2) {
              throw new DeveloperError('column must be 0, 1, or 2.');
          }
          //>>includeEnd('debug');
  
          return column * 3 + row;
      };
  
      /**
       * Retrieves a copy of the matrix column at the provided index as a Cartesian3 instance.
       *
       * @param {Matrix3} matrix The matrix to use.
       * @param {Number} index The zero-based index of the column to retrieve.
       * @param {Cartesian3} result The object onto which to store the result.
       * @returns {Cartesian3} The modified result parameter.
       *
       * @exception {DeveloperError} index must be 0, 1, or 2.
       */
      Matrix3.getColumn = function(matrix, index, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required.');
          }
  
          if (typeof index !== 'number' || index < 0 || index > 2) {
              throw new DeveloperError('index must be 0, 1, or 2.');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var startIndex = index * 3;
          var x = matrix[startIndex];
          var y = matrix[startIndex + 1];
          var z = matrix[startIndex + 2];
  
          result.x = x;
          result.y = y;
          result.z = z;
          return result;
      };
  
      /**
       * Computes a new matrix that replaces the specified column in the provided matrix with the provided Cartesian3 instance.
       *
       * @param {Matrix3} matrix The matrix to use.
       * @param {Number} index The zero-based index of the column to set.
       * @param {Cartesian3} cartesian The Cartesian whose values will be assigned to the specified column.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       *
       * @exception {DeveloperError} index must be 0, 1, or 2.
       */
      Matrix3.setColumn = function(matrix, index, cartesian, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(cartesian)) {
              throw new DeveloperError('cartesian is required');
          }
          if (typeof index !== 'number' || index < 0 || index > 2) {
              throw new DeveloperError('index must be 0, 1, or 2.');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result = Matrix3.clone(matrix, result);
          var startIndex = index * 3;
          result[startIndex] = cartesian.x;
          result[startIndex + 1] = cartesian.y;
          result[startIndex + 2] = cartesian.z;
          return result;
      };
  
      /**
       * Retrieves a copy of the matrix row at the provided index as a Cartesian3 instance.
       *
       * @param {Matrix3} matrix The matrix to use.
       * @param {Number} index The zero-based index of the row to retrieve.
       * @param {Cartesian3} result The object onto which to store the result.
       * @returns {Cartesian3} The modified result parameter.
       *
       * @exception {DeveloperError} index must be 0, 1, or 2.
       */
      Matrix3.getRow = function(matrix, index, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required.');
          }
          if (typeof index !== 'number' || index < 0 || index > 2) {
              throw new DeveloperError('index must be 0, 1, or 2.');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var x = matrix[index];
          var y = matrix[index + 3];
          var z = matrix[index + 6];
  
          result.x = x;
          result.y = y;
          result.z = z;
          return result;
      };
  
      /**
       * Computes a new matrix that replaces the specified row in the provided matrix with the provided Cartesian3 instance.
       *
       * @param {Matrix3} matrix The matrix to use.
       * @param {Number} index The zero-based index of the row to set.
       * @param {Cartesian3} cartesian The Cartesian whose values will be assigned to the specified row.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       *
       * @exception {DeveloperError} index must be 0, 1, or 2.
       */
      Matrix3.setRow = function(matrix, index, cartesian, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(cartesian)) {
              throw new DeveloperError('cartesian is required');
          }
          if (typeof index !== 'number' || index < 0 || index > 2) {
              throw new DeveloperError('index must be 0, 1, or 2.');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result = Matrix3.clone(matrix, result);
          result[index] = cartesian.x;
          result[index + 3] = cartesian.y;
          result[index + 6] = cartesian.z;
          return result;
      };
  
      var scratchColumn = new Cartesian3();
  
      /**
       * Extracts the non-uniform scale assuming the matrix is an affine transformation.
       *
       * @param {Matrix3} matrix The matrix.
       * @param {Cartesian3} result The object onto which to store the result.
       * @returns {Cartesian3} The modified result parameter.
       */
      Matrix3.getScale = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required.');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result.x = Cartesian3.magnitude(Cartesian3.fromElements(matrix[0], matrix[1], matrix[2], scratchColumn));
          result.y = Cartesian3.magnitude(Cartesian3.fromElements(matrix[3], matrix[4], matrix[5], scratchColumn));
          result.z = Cartesian3.magnitude(Cartesian3.fromElements(matrix[6], matrix[7], matrix[8], scratchColumn));
          return result;
      };
  
      var scratchScale = new Cartesian3();
  
      /**
       * Computes the maximum scale assuming the matrix is an affine transformation.
       * The maximum scale is the maximum length of the column vectors.
       *
       * @param {Matrix3} matrix The matrix.
       * @returns {Number} The maximum scale.
       */
      Matrix3.getMaximumScale = function(matrix) {
          Matrix3.getScale(matrix, scratchScale);
          return Cartesian3.maximumComponent(scratchScale);
      };
  
      /**
       * Computes the product of two matrices.
       *
       * @param {Matrix3} left The first matrix.
       * @param {Matrix3} right The second matrix.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.multiply = function(left, right, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(left)) {
              throw new DeveloperError('left is required');
          }
          if (!defined(right)) {
              throw new DeveloperError('right is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var column0Row0 = left[0] * right[0] + left[3] * right[1] + left[6] * right[2];
          var column0Row1 = left[1] * right[0] + left[4] * right[1] + left[7] * right[2];
          var column0Row2 = left[2] * right[0] + left[5] * right[1] + left[8] * right[2];
  
          var column1Row0 = left[0] * right[3] + left[3] * right[4] + left[6] * right[5];
          var column1Row1 = left[1] * right[3] + left[4] * right[4] + left[7] * right[5];
          var column1Row2 = left[2] * right[3] + left[5] * right[4] + left[8] * right[5];
  
          var column2Row0 = left[0] * right[6] + left[3] * right[7] + left[6] * right[8];
          var column2Row1 = left[1] * right[6] + left[4] * right[7] + left[7] * right[8];
          var column2Row2 = left[2] * right[6] + left[5] * right[7] + left[8] * right[8];
  
          result[0] = column0Row0;
          result[1] = column0Row1;
          result[2] = column0Row2;
          result[3] = column1Row0;
          result[4] = column1Row1;
          result[5] = column1Row2;
          result[6] = column2Row0;
          result[7] = column2Row1;
          result[8] = column2Row2;
          return result;
      };
  
      /**
       * Computes the sum of two matrices.
       *
       * @param {Matrix3} left The first matrix.
       * @param {Matrix3} right The second matrix.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.add = function(left, right, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(left)) {
              throw new DeveloperError('left is required');
          }
          if (!defined(right)) {
              throw new DeveloperError('right is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = left[0] + right[0];
          result[1] = left[1] + right[1];
          result[2] = left[2] + right[2];
          result[3] = left[3] + right[3];
          result[4] = left[4] + right[4];
          result[5] = left[5] + right[5];
          result[6] = left[6] + right[6];
          result[7] = left[7] + right[7];
          result[8] = left[8] + right[8];
          return result;
      };
  
      /**
       * Computes the difference of two matrices.
       *
       * @param {Matrix3} left The first matrix.
       * @param {Matrix3} right The second matrix.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.subtract = function(left, right, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(left)) {
              throw new DeveloperError('left is required');
          }
          if (!defined(right)) {
              throw new DeveloperError('right is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = left[0] - right[0];
          result[1] = left[1] - right[1];
          result[2] = left[2] - right[2];
          result[3] = left[3] - right[3];
          result[4] = left[4] - right[4];
          result[5] = left[5] - right[5];
          result[6] = left[6] - right[6];
          result[7] = left[7] - right[7];
          result[8] = left[8] - right[8];
          return result;
      };
  
      /**
       * Computes the product of a matrix and a column vector.
       *
       * @param {Matrix3} matrix The matrix.
       * @param {Cartesian3} cartesian The column.
       * @param {Cartesian3} result The object onto which to store the result.
       * @returns {Cartesian3} The modified result parameter.
       */
      Matrix3.multiplyByVector = function(matrix, cartesian, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(cartesian)) {
              throw new DeveloperError('cartesian is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var vX = cartesian.x;
          var vY = cartesian.y;
          var vZ = cartesian.z;
  
          var x = matrix[0] * vX + matrix[3] * vY + matrix[6] * vZ;
          var y = matrix[1] * vX + matrix[4] * vY + matrix[7] * vZ;
          var z = matrix[2] * vX + matrix[5] * vY + matrix[8] * vZ;
  
          result.x = x;
          result.y = y;
          result.z = z;
          return result;
      };
  
      /**
       * Computes the product of a matrix and a scalar.
       *
       * @param {Matrix3} matrix The matrix.
       * @param {Number} scalar The number to multiply by.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.multiplyByScalar = function(matrix, scalar, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (typeof scalar !== 'number') {
              throw new DeveloperError('scalar must be a number');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = matrix[0] * scalar;
          result[1] = matrix[1] * scalar;
          result[2] = matrix[2] * scalar;
          result[3] = matrix[3] * scalar;
          result[4] = matrix[4] * scalar;
          result[5] = matrix[5] * scalar;
          result[6] = matrix[6] * scalar;
          result[7] = matrix[7] * scalar;
          result[8] = matrix[8] * scalar;
          return result;
      };
  
      /**
       * Computes the product of a matrix times a (non-uniform) scale, as if the scale were a scale matrix.
       *
       * @param {Matrix3} matrix The matrix on the left-hand side.
       * @param {Cartesian3} scale The non-uniform scale on the right-hand side.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       *
       *
       * @example
       * // Instead of Cesium.Matrix3.multiply(m, Cesium.Matrix3.fromScale(scale), m);
       * Cesium.Matrix3.multiplyByScale(m, scale, m);
       * 
       * @see Matrix3.fromScale
       * @see Matrix3.multiplyByUniformScale
       */
      Matrix3.multiplyByScale = function(matrix, scale, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(scale)) {
              throw new DeveloperError('scale is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = matrix[0] * scale.x;
          result[1] = matrix[1] * scale.x;
          result[2] = matrix[2] * scale.x;
          result[3] = matrix[3] * scale.y;
          result[4] = matrix[4] * scale.y;
          result[5] = matrix[5] * scale.y;
          result[6] = matrix[6] * scale.z;
          result[7] = matrix[7] * scale.z;
          result[8] = matrix[8] * scale.z;
          return result;
      };
  
      /**
       * Creates a negated copy of the provided matrix.
       *
       * @param {Matrix3} matrix The matrix to negate.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.negate = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = -matrix[0];
          result[1] = -matrix[1];
          result[2] = -matrix[2];
          result[3] = -matrix[3];
          result[4] = -matrix[4];
          result[5] = -matrix[5];
          result[6] = -matrix[6];
          result[7] = -matrix[7];
          result[8] = -matrix[8];
          return result;
      };
  
      /**
       * Computes the transpose of the provided matrix.
       *
       * @param {Matrix3} matrix The matrix to transpose.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.transpose = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var column0Row0 = matrix[0];
          var column0Row1 = matrix[3];
          var column0Row2 = matrix[6];
          var column1Row0 = matrix[1];
          var column1Row1 = matrix[4];
          var column1Row2 = matrix[7];
          var column2Row0 = matrix[2];
          var column2Row1 = matrix[5];
          var column2Row2 = matrix[8];
  
          result[0] = column0Row0;
          result[1] = column0Row1;
          result[2] = column0Row2;
          result[3] = column1Row0;
          result[4] = column1Row1;
          result[5] = column1Row2;
          result[6] = column2Row0;
          result[7] = column2Row1;
          result[8] = column2Row2;
          return result;
      };
  
      function computeFrobeniusNorm(matrix) {
          var norm = 0.0;
          for (var i = 0; i < 9; ++i) {
              var temp = matrix[i];
              norm += temp * temp;
          }
  
          return Math.sqrt(norm);
      }
  
      var rowVal = [1, 0, 0];
      var colVal = [2, 2, 1];
  
      function offDiagonalFrobeniusNorm(matrix) {
          // Computes the "off-diagonal" Frobenius norm.
          // Assumes matrix is symmetric.
  
          var norm = 0.0;
          for (var i = 0; i < 3; ++i) {
              var temp = matrix[Matrix3.getElementIndex(colVal[i], rowVal[i])];
              norm += 2.0 * temp * temp;
          }
  
          return Math.sqrt(norm);
      }
  
      function shurDecomposition(matrix, result) {
          // This routine was created based upon Matrix Computations, 3rd ed., by Golub and Van Loan,
          // section 8.4.2 The 2by2 Symmetric Schur Decomposition.
          //
          // The routine takes a matrix, which is assumed to be symmetric, and
          // finds the largest off-diagonal term, and then creates
          // a matrix (result) which can be used to help reduce it
  
          var tolerance = CesiumMath.EPSILON15;
  
          var maxDiagonal = 0.0;
          var rotAxis = 1;
  
          // find pivot (rotAxis) based on max diagonal of matrix
          for (var i = 0; i < 3; ++i) {
              var temp = Math.abs(matrix[Matrix3.getElementIndex(colVal[i], rowVal[i])]);
              if (temp > maxDiagonal) {
                  rotAxis = i;
                  maxDiagonal = temp;
              }
          }
  
          var c = 1.0;
          var s = 0.0;
  
          var p = rowVal[rotAxis];
          var q = colVal[rotAxis];
  
          if (Math.abs(matrix[Matrix3.getElementIndex(q, p)]) > tolerance) {
              var qq = matrix[Matrix3.getElementIndex(q, q)];
              var pp = matrix[Matrix3.getElementIndex(p, p)];
              var qp = matrix[Matrix3.getElementIndex(q, p)];
  
              var tau = (qq - pp) / 2.0 / qp;
              var t;
  
              if (tau < 0.0) {
                  t = -1.0 / (-tau + Math.sqrt(1.0 + tau * tau));
              } else {
                  t = 1.0 / (tau + Math.sqrt(1.0 + tau * tau));
              }
  
              c = 1.0 / Math.sqrt(1.0 + t * t);
              s = t * c;
          }
  
          result = Matrix3.clone(Matrix3.IDENTITY, result);
  
          result[Matrix3.getElementIndex(p, p)] = result[Matrix3.getElementIndex(q, q)] = c;
          result[Matrix3.getElementIndex(q, p)] = s;
          result[Matrix3.getElementIndex(p, q)] = -s;
  
          return result;
      }
  
      var jMatrix = new Matrix3();
      var jMatrixTranspose = new Matrix3();
  
      /**
       * Computes the eigenvectors and eigenvalues of a symmetric matrix.
       * <p>
       * Returns a diagonal matrix and unitary matrix such that:
       * <code>matrix = unitary matrix * diagonal matrix * transpose(unitary matrix)</code>
       * </p>
       * <p>
       * The values along the diagonal of the diagonal matrix are the eigenvalues. The columns
       * of the unitary matrix are the corresponding eigenvectors.
       * </p>
       *
       * @param {Matrix3} matrix The matrix to decompose into diagonal and unitary matrix. Expected to be symmetric.
       * @param {Object} [result] An object with unitary and diagonal properties which are matrices onto which to store the result.
       * @returns {Object} An object with unitary and diagonal properties which are the unitary and diagonal matrices, respectively.
       *
       * @example
       * var a = //... symetric matrix
       * var result = {
       *     unitary : new Cesium.Matrix3(),
       *     diagonal : new Cesium.Matrix3()
       * };
       * Cesium.Matrix3.computeEigenDecomposition(a, result);
       *
       * var unitaryTranspose = Cesium.Matrix3.transpose(result.unitary, new Cesium.Matrix3());
       * var b = Cesium.Matrix3.multiply(result.unitary, result.diagonal, new Cesium.Matrix3());
       * Cesium.Matrix3.multiply(b, unitaryTranspose, b); // b is now equal to a
       *
       * var lambda = Cesium.Matrix3.getColumn(result.diagonal, 0, new Cesium.Cartesian3()).x;  // first eigenvalue
       * var v = Cesium.Matrix3.getColumn(result.unitary, 0, new Cesium.Cartesian3());          // first eigenvector
       * var c = Cesium.Cartesian3.multiplyByScalar(v, lambda, new Cesium.Cartesian3());        // equal to Cesium.Matrix3.multiplyByVector(a, v)
       */
      Matrix3.computeEigenDecomposition = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required.');
          }
          //>>includeEnd('debug');
  
          // This routine was created based upon Matrix Computations, 3rd ed., by Golub and Van Loan,
          // section 8.4.3 The Classical Jacobi Algorithm
  
          var tolerance = CesiumMath.EPSILON20;
          var maxSweeps = 10;
  
          var count = 0;
          var sweep = 0;
  
          if (!defined(result)) {
              result = {};
          }
  
          var unitaryMatrix = result.unitary = Matrix3.clone(Matrix3.IDENTITY, result.unitary);
          var diagMatrix = result.diagonal = Matrix3.clone(matrix, result.diagonal);
  
          var epsilon = tolerance * computeFrobeniusNorm(diagMatrix);
  
          while (sweep < maxSweeps && offDiagonalFrobeniusNorm(diagMatrix) > epsilon) {
              shurDecomposition(diagMatrix, jMatrix);
              Matrix3.transpose(jMatrix, jMatrixTranspose);
              Matrix3.multiply(diagMatrix, jMatrix, diagMatrix);
              Matrix3.multiply(jMatrixTranspose, diagMatrix, diagMatrix);
              Matrix3.multiply(unitaryMatrix, jMatrix, unitaryMatrix);
  
              if (++count > 2) {
                  ++sweep;
                  count = 0;
              }
          }
  
          return result;
      };
  
      /**
       * Computes a matrix, which contains the absolute (unsigned) values of the provided matrix's elements.
       *
       * @param {Matrix3} matrix The matrix with signed elements.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       */
      Matrix3.abs = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          result[0] = Math.abs(matrix[0]);
          result[1] = Math.abs(matrix[1]);
          result[2] = Math.abs(matrix[2]);
          result[3] = Math.abs(matrix[3]);
          result[4] = Math.abs(matrix[4]);
          result[5] = Math.abs(matrix[5]);
          result[6] = Math.abs(matrix[6]);
          result[7] = Math.abs(matrix[7]);
          result[8] = Math.abs(matrix[8]);
  
          return result;
      };
  
      /**
       * Computes the determinant of the provided matrix.
       *
       * @param {Matrix3} matrix The matrix to use.
       * @returns {Number} The value of the determinant of the matrix.
       */
      Matrix3.determinant = function(matrix) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          //>>includeEnd('debug');
  
          var m11 = matrix[0];
          var m21 = matrix[3];
          var m31 = matrix[6];
          var m12 = matrix[1];
          var m22 = matrix[4];
          var m32 = matrix[7];
          var m13 = matrix[2];
          var m23 = matrix[5];
          var m33 = matrix[8];
  
          return m11 * (m22 * m33 - m23 * m32) + m12 * (m23 * m31 - m21 * m33) + m13 * (m21 * m32 - m22 * m31);
      };
  
      /**
       * Computes the inverse of the provided matrix.
       *
       * @param {Matrix3} matrix The matrix to invert.
       * @param {Matrix3} result The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter.
       *
       * @exception {DeveloperError} matrix is not invertible.
       */
      Matrix3.inverse = function(matrix, result) {
          //>>includeStart('debug', pragmas.debug);
          if (!defined(matrix)) {
              throw new DeveloperError('matrix is required');
          }
          if (!defined(result)) {
              throw new DeveloperError('result is required');
          }
          //>>includeEnd('debug');
  
          var m11 = matrix[0];
          var m21 = matrix[1];
          var m31 = matrix[2];
          var m12 = matrix[3];
          var m22 = matrix[4];
          var m32 = matrix[5];
          var m13 = matrix[6];
          var m23 = matrix[7];
          var m33 = matrix[8];
  
          var determinant = Matrix3.determinant(matrix);
  
          if (Math.abs(determinant) <= CesiumMath.EPSILON15) {
              throw new DeveloperError('matrix is not invertible');
          }
  
          result[0] = m22 * m33 - m23 * m32;
          result[1] = m23 * m31 - m21 * m33;
          result[2] = m21 * m32 - m22 * m31;
          result[3] = m13 * m32 - m12 * m33;
          result[4] = m11 * m33 - m13 * m31;
          result[5] = m12 * m31 - m11 * m32;
          result[6] = m12 * m23 - m13 * m22;
          result[7] = m13 * m21 - m11 * m23;
          result[8] = m11 * m22 - m12 * m21;
  
         var scale = 1.0 / determinant;
         return Matrix3.multiplyByScalar(result, scale, result);
      };
  
      /**
       * Compares the provided matrices componentwise and returns
       * <code>true</code> if they are equal, <code>false</code> otherwise.
       *
       * @param {Matrix3} [left] The first matrix.
       * @param {Matrix3} [right] The second matrix.
       * @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
       */
      Matrix3.equals = function(left, right) {
          return (left === right) ||
                 (defined(left) &&
                  defined(right) &&
                  left[0] === right[0] &&
                  left[1] === right[1] &&
                  left[2] === right[2] &&
                  left[3] === right[3] &&
                  left[4] === right[4] &&
                  left[5] === right[5] &&
                  left[6] === right[6] &&
                  left[7] === right[7] &&
                  left[8] === right[8]);
      };
  
      /**
       * Compares the provided matrices componentwise and returns
       * <code>true</code> if they are within the provided epsilon,
       * <code>false</code> otherwise.
       *
       * @param {Matrix3} [left] The first matrix.
       * @param {Matrix3} [right] The second matrix.
       * @param {Number} epsilon The epsilon to use for equality testing.
       * @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
       */
      Matrix3.equalsEpsilon = function(left, right, epsilon) {
          //>>includeStart('debug', pragmas.debug);
          if (typeof epsilon !== 'number') {
              throw new DeveloperError('epsilon must be a number');
          }
          //>>includeEnd('debug');
  
          return (left === right) ||
                  (defined(left) &&
                  defined(right) &&
                  Math.abs(left[0] - right[0]) <= epsilon &&
                  Math.abs(left[1] - right[1]) <= epsilon &&
                  Math.abs(left[2] - right[2]) <= epsilon &&
                  Math.abs(left[3] - right[3]) <= epsilon &&
                  Math.abs(left[4] - right[4]) <= epsilon &&
                  Math.abs(left[5] - right[5]) <= epsilon &&
                  Math.abs(left[6] - right[6]) <= epsilon &&
                  Math.abs(left[7] - right[7]) <= epsilon &&
                  Math.abs(left[8] - right[8]) <= epsilon);
      };
  
      /**
       * An immutable Matrix3 instance initialized to the identity matrix.
       *
       * @type {Matrix3}
       * @constant
       */
      Matrix3.IDENTITY = freezeObject(new Matrix3(1.0, 0.0, 0.0,
                                                  0.0, 1.0, 0.0,
                                                  0.0, 0.0, 1.0));
  
      /**
       * An immutable Matrix3 instance initialized to the zero matrix.
       *
       * @type {Matrix3}
       * @constant
       */
      Matrix3.ZERO = freezeObject(new Matrix3(0.0, 0.0, 0.0,
                                              0.0, 0.0, 0.0,
                                              0.0, 0.0, 0.0));
  
      /**
       * The index into Matrix3 for column 0, row 0.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN0ROW0 = 0;
  
      /**
       * The index into Matrix3 for column 0, row 1.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN0ROW1 = 1;
  
      /**
       * The index into Matrix3 for column 0, row 2.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN0ROW2 = 2;
  
      /**
       * The index into Matrix3 for column 1, row 0.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN1ROW0 = 3;
  
      /**
       * The index into Matrix3 for column 1, row 1.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN1ROW1 = 4;
  
      /**
       * The index into Matrix3 for column 1, row 2.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN1ROW2 = 5;
  
      /**
       * The index into Matrix3 for column 2, row 0.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN2ROW0 = 6;
  
      /**
       * The index into Matrix3 for column 2, row 1.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN2ROW1 = 7;
  
      /**
       * The index into Matrix3 for column 2, row 2.
       *
       * @type {Number}
       * @constant
       */
      Matrix3.COLUMN2ROW2 = 8;
  
      /**
       * Duplicates the provided Matrix3 instance.
       *
       * @param {Matrix3} [result] The object onto which to store the result.
       * @returns {Matrix3} The modified result parameter or a new Matrix3 instance if one was not provided.
       */
      Matrix3.prototype.clone = function(result) {
          return Matrix3.clone(this, result);
      };
  
      /**
       * Compares this matrix to the provided matrix componentwise and returns
       * <code>true</code> if they are equal, <code>false</code> otherwise.
       *
       * @param {Matrix3} [right] The right hand side matrix.
       * @returns {Boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
       */
      Matrix3.prototype.equals = function(right) {
          return Matrix3.equals(this, right);
      };
  
      /**
       * @private
       */
      Matrix3.equalsArray = function(matrix, array, offset) {
          return matrix[0] === array[offset] &&
                 matrix[1] === array[offset + 1] &&
                 matrix[2] === array[offset + 2] &&
                 matrix[3] === array[offset + 3] &&
                 matrix[4] === array[offset + 4] &&
                 matrix[5] === array[offset + 5] &&
                 matrix[6] === array[offset + 6] &&
                 matrix[7] === array[offset + 7] &&
                 matrix[8] === array[offset + 8];
      };
  
      /**
       * Compares this matrix to the provided matrix componentwise and returns
       * <code>true</code> if they are within the provided epsilon,
       * <code>false</code> otherwise.
       *
       * @param {Matrix3} [right] The right hand side matrix.
       * @param {Number} epsilon The epsilon to use for equality testing.
       * @returns {Boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
       */
      Matrix3.prototype.equalsEpsilon = function(right, epsilon) {
          return Matrix3.equalsEpsilon(this, right, epsilon);
      };
  
      /**
       * Creates a string representing this Matrix with each row being
       * on a separate line and in the format '(column0, column1, column2)'.
       *
       * @returns {String} A string representing the provided Matrix with each row being on a separate line and in the format '(column0, column1, column2)'.
       */
      Matrix3.prototype.toString = function() {
          return '(' + this[0] + ', ' + this[3] + ', ' + this[6] + ')\n' +
                 '(' + this[1] + ', ' + this[4] + ', ' + this[7] + ')\n' +
                 '(' + this[2] + ', ' + this[5] + ', ' + this[8] + ')';
      };
  
      return Matrix3;
  });
  