Components of the Effective Transformation T

Zero Offset Shift T_Z

The T_Z-transformation is affected by certain G-Codes. It has no effect if G53 is active. Otherwise, T_Z is the combination of the three translations T_Z58, T_Z59 and one of {T_Z54, …, T_Z57}. The former two translations are set via the G-Codes G58 and G59. The latter translation is selected by the G-Codes G54 to G57. One translation is associated with each of these 4 G-Codes. It can be set by the PLC or using the ST-function zeroOffsetShiftSet.

Tool Transformation T_T

T_T is defined by the currently selected tool. It has no effect if tool 0 (D0) is selected. Otherwise, it is a translation by [offsetX, offsetY, offsetZ] + (length+lengthAdd) * D where D is the normal of the current workingplane.

Userdefined Transformation T_U

T_U is defined by a stack of transformations. The stack of depth N contains elementary transformations T_U1, T_U2, …, T_U<N> where T_U<N> is the topmost transformation. Initially, the stack is empty. The userdefined transformation is the concatenation of these elementary transformations T_U = T_U1 * T_U2 * … * T_U<N>. Note that the order is significant for the transformations do not commute in general. If the stack is empty, T_U is the identity transformation, which has no transformation effect.