diff --git a/EMkMachMgr.h b/EMkMachMgr.h
index 275fdf3..b8a73ae 100644
--- a/EMkMachMgr.h
+++ b/EMkMachMgr.h
@@ -1,7 +1,7 @@
 //----------------------------------------------------------------------------
 //  EgalTech 2015-2020
 //----------------------------------------------------------------------------
-// File : EMkMachMgr.h           Data : 17.08.20          Versione : 2.2h2
+// File : EMkMachMgr.h           Data : 10.11.20          Versione : 2.2k3
 // Contenuto : Dichiarazione della interfaccia IMachMgr.
 //
 //
@@ -10,6 +10,7 @@
 //             16.05.19 DS Aggiunto parametro sToolMakersDir a Init.
 //             26.06.19 DS Aggiunta gestione Warnings.
 //             17.08.20 DS Aggiunte GetAxisMin e GetAxisMax.
+//             10.11.20 DS Portate in interfaccia funzioni di calcolo con vettori di angoli.
 //
 //----------------------------------------------------------------------------
 
@@ -273,10 +274,16 @@ class __declspec( novtable) IMachMgr
       virtual bool GetCalcTool( std::string& sTool) const = 0 ;
       virtual bool GetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
                                   int& nStat, double& dAngA1, double& dAngB1, double& dAngA2, double& dAngB2) const = 0 ;
+      virtual bool GetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
+                                  int& nStat, DBLVECTOR& vAng1, DBLVECTOR& vAng2) const = 0 ;
       virtual bool GetCalcPositions( const Point3d& ptP, double dAngA, double dAngB,
                                      int& nStat, double& dX, double& dY, double& dZ) const = 0 ;
+      virtual bool GetCalcPositions( const Point3d& ptP, const DBLVECTOR& vAng,
+                                     int& nStat, double& dX, double& dY, double& dZ) const = 0 ;
       virtual bool GetCalcTipFromPositions( double dX, double dY, double dZ, double dAngA, double dAngB,
                                             bool bOverall, bool bBottom, Point3d& ptTip) const = 0 ;
+      virtual bool GetCalcTipFromPositions( double dX, double dY, double dZ, const DBLVECTOR& vAng,
+                                            bool bOverall, bool bBottom, Point3d& ptTip) const = 0 ;
       virtual bool GetCalcToolDirFromAngles( const DBLVECTOR& vAng, Vector3d& vtDir) const = 0 ;
       virtual bool GetCalcAuxDirFromAngles( const DBLVECTOR& vAng, Vector3d& vtDir) const = 0 ;
       virtual bool GetNearestAngleInStroke( int nInd, double dAngRef, double& dAng) const = 0 ;
diff --git a/EXeExecutor.h b/EXeExecutor.h
index e0c0e55..25f36df 100644
--- a/EXeExecutor.h
+++ b/EXeExecutor.h
@@ -1020,10 +1020,16 @@ EXE_EXPORT bool ExeGetRotAxisBlocked( int nInd, std::string& sAxis, double& dVal
 EXE_EXPORT bool ExeGetCalcTool( std::string& sTool) ;
 EXE_EXPORT bool ExeGetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
                                   int& nStat, double& dAngA1, double& dAngB1, double& dAngA2, double& dAngB2) ;
+EXE_EXPORT bool ExeGetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
+                                  int& nStat, DBLVECTOR& vAng1, DBLVECTOR& vAng2) ;
 EXE_EXPORT bool ExeGetCalcPositions( const Point3d& ptP, double dAngA, double dAngB,
                                      int& nStat, double& dX, double& dY, double& dZ) ;
+EXE_EXPORT bool ExeGetCalcPositions( const Point3d& ptP, const DBLVECTOR& vAng,
+                                     int& nStat, double& dX, double& dY, double& dZ) ;
 EXE_EXPORT bool ExeGetCalcTipFromPositions( double dX, double dY, double dZ, double dAngA, double dAngB,
                                             bool bBottom, Point3d& ptTip) ;
+EXE_EXPORT bool ExeGetCalcTipFromPositions( double dX, double dY, double dZ, const DBLVECTOR& vAng,
+                                            bool bBottom, Point3d& ptTip) ;
 EXE_EXPORT bool ExeGetCalcToolDirFromAngles( const DBLVECTOR& vAng, Vector3d& vtDir) ;
 EXE_EXPORT bool ExeGetCalcAuxDirFromAngles( const DBLVECTOR& vAng, Vector3d& vtDir) ;
 EXE_EXPORT bool ExeVerifyOutstroke( double dX, double dY, double dZ, double dAngA, double dAngB, int& nStat) ;