Refs #10039. Make Goniometer::getEulerAngles use Quat impl.

Code/Mantid/Framework/Geometry/src/Instrument/Goniometer.cpp

@@ -246,41 +246,7 @@ void Goniometer::makeUniversalGoniometer()
 */
 std::vector<double> Goniometer::getEulerAngles(std::string convention)
 {
-
-  std::string conv(convention);
-  //translate convention to three integers X=0, Y=1, Z=2
-  if (conv.length()!=3) throw std::invalid_argument("Wrong convention name (string length not 3)");
-  boost::to_upper(conv);
-  if (conv.find_first_not_of("XYZ")!=std::string::npos) throw std::invalid_argument("Wrong convention name (characters other than XYZ)");
-  if ((conv[0]==conv[1]) || (conv[2]==conv[1])) throw std::invalid_argument("Wrong convention name (repeated indices)");
-  boost::replace_all(conv,"X","0");
-  boost::replace_all(conv,"Y","1");
-  boost::replace_all(conv,"Z","2");
-  int first, second, last, TB, par01,par12;
-  std::stringstream s;
-  s<<conv[0]<<" "<<conv[1]<<" "<<conv[2];
-  s>>first>>second>>last;
-  TB=(first+second+last+9==3)?1:0;
-  par01=((second-first+9)%3==1)?1:-1;
-  par12=((last-second+9)%3==1)?1:-1;
-
-  std::vector<double> angles(3);
-  double s1,s2,s3,c1,c2,c3;
-  s3=(1.-TB-TB*par12)*R[(last+TB*par12+9)%3][(last-par12+9)%3];
-  c3=(TB-(1.-TB)*par12)*R[(last+TB*par12+9)%3][(last+par12+9)%3];
-  angles[2]=atan2(s3,c3)*rad2deg;
-  V3D axis3(0,0,0);
-  axis3[last]=1.;  
-  DblMatrix Rm3(Quat(-angles[2],axis3).getRotation()),Rp;
-  Rp=R*Rm3;
-  s1=par01*Rp[(first-par01+9)%3][(first+par01+9)%3];
-  c1=Rp[second][second];
-  s2=par01*Rp[first][3-first-second];
-  c2=Rp[first][first];  
-  angles[0]=atan2(s1,c1)*rad2deg;
-  angles[1]=atan2(s2,c2)*rad2deg;
-
-  return angles;
+  return Quat(getR()).getEulerAngles(convention);
 }
 
 /// Private function to recalculate the rotation matrix of the goniometer