added options to return "natural" versions of asQ, asRodrig, and asAxisAngle

python/damask/orientation.py

@@ -170,9 +170,18 @@ class Rotation:
     ################################################################################################
     # convert to different orientation representations (numpy arrays)
 
-    def asQuaternion(self):
+    def asQuaternion(self,
-      """Unit quaternion: (q, p_1, p_2, p_3)."""
+                     quaternion = False):
-      return self.quaternion.asArray()
+      """
+      Unit quaternion [q, p_1, p_2, p_3] unless quaternion == True: damask.quaternion object.
+
+      Parameters
+      ----------
+      quaternion : bool, optional
+          return quaternion as DAMASK object.
+      
+      """
+      return self.quaternion if quaternion else self.quaternion.asArray()
       
     def asEulers(self,
                  degrees = False):
@@ -190,33 +199,36 @@ class Rotation:
       return eu
     
     def asAxisAngle(self,
-                    degrees = False):
+                    degrees = False,
+                    pair = False):
       """
-      Axis angle pair: ([n_1, n_2, n_3], ω).
+      Axis angle representation [n_1, n_2, n_3, ω] unless pair == True: ([n_1, n_2, n_3], ω).
 
       Parameters
       ----------
       degrees : bool, optional
           return rotation angle in degrees.
+      pair : bool, optional
+          return tuple of axis and angle.
       
       """
       ax = qu2ax(self.quaternion.asArray())
       if degrees: ax[3] = np.degrees(ax[3])
-      return ax
+      return (ax[:3],np.degrees(ax[3])) if pair else ax
       
     def asMatrix(self):
       """Rotation matrix."""
       return qu2om(self.quaternion.asArray())
 
     def asRodrigues(self,
-                    vector=False):
+                    vector = False):
       """
-      Rodrigues-Frank vector: ([n_1, n_2, n_3], tan(ω/2)).
+      Rodrigues-Frank vector representation [n_1, n_2, n_3, tan(ω/2)] unless vector == True: [n_1, n_2, n_3] * tan(ω/2).
 
       Parameters
       ----------
       vector : bool, optional
-          return as array of length 3, i.e. scale the unit vector giving the rotation axis.
+          return as actual Rodrigues--Frank vector, i.e. rotation axis scaled by tan(ω/2).
 
       """
       ro = qu2ro(self.quaternion.asArray())