Test  program  for  3 axis servo motor  controller.

The  toolpath shown in red was created using the LMS CNC control system. The program is input using the controls text editor which includes a macro programming facility. A 3d graphic viewer is used to varify the toolpath.
  
Machine a VOLUTE in the XY plane with a 10deg Zaxis slope.  Start rad = 10mm           finish rad = 82mm.
   
     V01 (10)....................... ;  start rad
     V02 (0) .........................; start angle
     V03 (0)         
     V04 (0)         
     F2000........................; feed 2000mm/min
     X10 Y0.......................; move X to 10mm Y to 0
     Z0..............................; move Z to 0
     C1...............................; call subroutine 1
     F2000........................; set feed 2000mm/min
      Z10............................; z to 10mm clear
     X0 Y0........................; XY to Zero Position
      E................................; END PROGRAM

    ;This subroutine calculates the XYZ coordinates
    ; at 1 degree intervals

                  S1                                                       ;sub-routine 1
                  V13 (COS V02 * V01)                        ; v13 is X start Position
                  V14 (SIN  V02 * V01)                        ; v14 is Y start Position
                       D360                                             ; do loop 360 iterations
                      V02 (V02 + 1)                                ; increase Angle by 1 degree
                      V01 (V01 + 0.2)                             ; increase Rad 0.2=((82-10)/360)
                       V03 (COS V02 * V01)                   ; next X position
                       V04 (SIN V02 * V01)                    ; next Y position
                       V15 (V03 - V13)                           ; v15 = incremental length of X move
                       V16 (V04 - V14)                           ; v16 = incremental length of Y move
                      V17 (sqrt((v15*v15)+(v16*v16)))   ; calculate Length of XY line
                       V17 (tan10*v17)                            ; calculate Z depth at 10 deg for line XY (v17)
                       I                                                    ; Incremental mode
                      X  (V15) Y (V16)  Z (0-V17)         ; MOVE to new XYZ co-ordinates
                       A                                                  ; Absolute program mode
                       V13 (V03)                                    ; update X start position
                       V14 (V04)                                     ; update Y start position
                       E                                                  ; END of loop
                   V02 0
                   F1000
                  E        

Helical volute toolpath