Siemens SINUMERIK 840D sl Function Manual page 1970

Detailed Description
2.11 Tool lengths L1, L2, L3 assignment: LENTOAX
In this case, the associated matrix _MATRIX is:
A change from G17 to G18 or G19 does not alter the result, because the assignment of the
length components to the geometry axes changes in the same way as the assignment of the
abscissa, ordinate and applicate.
A frame rotation of Z through 60 degrees is now programmed with G17 active, e.g., rot
Z60. The direction of the applicate (Z direction) remains unchanged; the main component of
L2 now lies in the direction of the new X axis; the main component of L1 now lies in the
direction of the negative Y axis. The return axis is thus 1, and _AXIND contains the values
(2, -3, 1).
In this case, the associated matrix _MATRIX is:
Note
For further information to the above mentioned coordinate systems, please refer to:
References:
/PGA/ Programming Manual Work Preparation; Tool Compensations
182
Basic logic functions: Tool Offset (W1)
Function Manual, 11/2006, 6FC5397-0BP10-2BA0