diff --git a/EXE_MachMgr.cpp b/EXE_MachMgr.cpp
index 02c16f9..0f468b8 100644
--- a/EXE_MachMgr.cpp
+++ b/EXE_MachMgr.cpp
@@ -3054,6 +3054,17 @@ ExeGetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
    return pMachMgr->GetCalcAngles( vtDirT, vtDirA, nStat, dAngA1, dAngB1, dAngA2, dAngB2) ;
 }
 
+//-----------------------------------------------------------------------------
+bool
+ExeGetCalcAngles( const Vector3d& vtDirT, const Vector3d& vtDirA,
+                  int& nStat, DBLVECTOR& vAng1, DBLVECTOR& vAng2)
+{
+   IMachMgr* pMachMgr = GetCurrMachMgr() ;
+   VERIFY_MACHMGR( pMachMgr, false)
+  // calcolo gli angoli macchina dalle direzioni fresa e ausiliaria passate
+   return pMachMgr->GetCalcAngles( vtDirT, vtDirA, nStat, vAng1, vAng2) ;
+}
+
 //-----------------------------------------------------------------------------
 bool
 ExeGetCalcPositions( const Point3d& ptP, double dAngA, double dAngB,
@@ -3061,10 +3072,21 @@ ExeGetCalcPositions( const Point3d& ptP, double dAngA, double dAngB,
 {
    IMachMgr* pMachMgr = GetCurrMachMgr() ;
    VERIFY_MACHMGR( pMachMgr, false)
-  // calcolo gli angoli macchina dalla direzione fresa passata
+  // calcolo gli assi lineari macchina dalla posizione e dagli assi rotanti
    return pMachMgr->GetCalcPositions( ptP, dAngA, dAngB, nStat, dX, dY, dZ) ;
 }
 
+//-----------------------------------------------------------------------------
+bool
+ExeGetCalcPositions( const Point3d& ptP, const DBLVECTOR& vAng,
+                     int& nStat, double& dX, double& dY, double& dZ)
+{
+   IMachMgr* pMachMgr = GetCurrMachMgr() ;
+   VERIFY_MACHMGR( pMachMgr, false)
+  // calcolo gli assi lineari macchina dalla posizione e dagli assi rotanti
+   return pMachMgr->GetCalcPositions( ptP, vAng, nStat, dX, dY, dZ) ;
+}
+
 //-----------------------------------------------------------------------------
 bool
 ExeGetCalcTipFromPositions( double dX, double dY, double dZ, double dAngA, double dAngB,
@@ -3076,6 +3098,17 @@ ExeGetCalcTipFromPositions( double dX, double dY, double dZ, double dAngA, doubl
    return pMachMgr->GetCalcTipFromPositions( dX, dY, dZ, dAngA, dAngB, false, bBottom, ptTip) ;
 }
 
+//-----------------------------------------------------------------------------
+bool
+ExeGetCalcTipFromPositions( double dX, double dY, double dZ, const DBLVECTOR& vAng,
+                            bool bBottom, Point3d& ptTip)
+{
+   IMachMgr* pMachMgr = GetCurrMachMgr() ;
+   VERIFY_MACHMGR( pMachMgr, false)
+  // calcolo il tip utensile dagli assi macchina
+   return pMachMgr->GetCalcTipFromPositions( dX, dY, dZ, vAng, false, bBottom, ptTip) ;
+}
+
 //-----------------------------------------------------------------------------
 bool
 ExeGetCalcToolDirFromAngles( const DBLVECTOR& vAng, Vector3d& vtDir)
diff --git a/EgtExecutor.rc b/EgtExecutor.rc
index efb388f..dd902e2 100644
Binary files a/EgtExecutor.rc and b/EgtExecutor.rc differ
diff --git a/LUA_MachMgr.cpp b/LUA_MachMgr.cpp
index 19741c0..372d4ce 100644
--- a/LUA_MachMgr.cpp
+++ b/LUA_MachMgr.cpp
@@ -3312,7 +3312,7 @@ LuaGetCalcAngles( lua_State* L)
    Vector3d vtDirA ;
    LuaGetParam( L, 2, vtDirA) ;
    LuaClearStack( L) ;
-  // imposto la tavola corrente per il calcolo
+  // calcolo gli angoli macchina dalle direzioni fresa e ausiliaria
    int  nStat ; double dAngA1 ; double dAngB1 ; double dAngA2 ; double dAngB2 ;
    bool bOk = ExeGetCalcAngles( vtDirT, vtDirA, nStat, dAngA1, dAngB1, dAngA2, dAngB2) ;
   // restituisco il risultato
@@ -3335,17 +3335,21 @@ LuaGetCalcAngles( lua_State* L)
 static int
 LuaGetCalcPositions( lua_State* L)
 {
-  // 3 parametri : ptP, dAngA, dAngB
+  // da 2 a 5 parametri : ptP, dAngA [, dAngB] [, dAngC] [, dAngD]
    Point3d ptP ;
    LuaCheckParam( L, 1, ptP)
-   double dAngA ;
-   LuaCheckParam( L, 2, dAngA)
-   double dAngB ;
-   LuaCheckParam( L, 3, dAngB)
+   DBLVECTOR vAng ;
+   for ( int i = 2 ; i <= 5 ; ++ i) {
+      double dAng ;
+      if ( LuaGetParam( L, i, dAng))
+         vAng.emplace_back( dAng) ;
+      else
+         break ;
+   }
    LuaClearStack( L) ;
   // imposto la tavola corrente per il calcolo
    int  nStat ; double dX ; double dY ; double dZ ;
-   bool bOk = ExeGetCalcPositions( ptP, dAngA, dAngB, nStat, dX, dY, dZ) ;
+   bool bOk = ExeGetCalcPositions( ptP, vAng, nStat, dX, dY, dZ) ;
   // restituisco il risultato
    if ( bOk) {
       LuaSetParam( L, bOk) ;
@@ -3365,23 +3369,28 @@ LuaGetCalcPositions( lua_State* L)
 static int
 LuaGetCalcTipFromPositions( lua_State* L)
 {
-  // 6 parametri : dX, dY, dZ, dAngA, dAngB, bBottom
+  // da 5 a 8 parametri : dX, dY, dZ, dAngA [, dAngB] [, dAngC] [, dAngD], bBottom
    double dX ;
    LuaCheckParam( L, 1, dX)
    double dY ;
    LuaCheckParam( L, 2, dY)
    double dZ ;
    LuaCheckParam( L, 3, dZ)
-   double dAngA ;
-   LuaCheckParam( L, 4, dAngA)
-   double dAngB ;
-   LuaCheckParam( L, 5, dAngB)
+   DBLVECTOR vAng ;
+   int i ;
+   for ( i = 4 ; i <= 7 ; ++ i) {
+      double dAng ;
+      if ( LuaGetParam( L, i, dAng))
+         vAng.emplace_back( dAng) ;
+      else
+         break ;
+   }
    bool bBottom ;
-   LuaCheckParam( L, 6, bBottom)
+   LuaCheckParam( L, i, bBottom)
    LuaClearStack( L) ;
   // calcolo il tip utensile dagli assi macchina
    Point3d ptTip ;
-   bool bOk = ExeGetCalcTipFromPositions( dX, dY, dZ, dAngA, dAngB, bBottom, ptTip) ;
+   bool bOk = ExeGetCalcTipFromPositions( dX, dY, dZ, vAng, bBottom, ptTip) ;
   // restituisco il risultato
    if ( bOk)
       LuaSetParam( L, ptTip) ;