|Shift||Library wrapper for "[ShiftX, ShiftY]" (2D), "[ShiftX, ShiftY, ShiftZ]" (3D)||List of 2 or 3 expressions, depending on the dimension|
|ShiftX, ShiftY, ShiftZ||Optional||MuPAD® expression|
Shift is the shift vector in transformation objects. ShiftX etc. refer to the single components of this vector.
The general transformation objects plot::Transform2d and plot::Transform3d allow to apply the affine-linear transformation to 2D and 3D objects, respectively. The shift vector b can be accessed and changed via the attribute Shift.
Special transformation objects such as plot::Translate2d, plot::Translate3d correspond to special matrices A and shifts b. They also allow to access and change the shift vector by the attribute Shift.
When setting the Shift attribute, matrices, arrays, and lists with 2 or 3 elements are accepted. Internally, however, the shift data are always stored as the list [b1, b2] in 2D or [b1, b2, b3] in 3D, respectively. When reading the vector by a slot access, this list is returned.
The entries of Shift can be animated.
We move an arrow along the y-axis:
T := plot::Translate2d([0, a], a = 0..5, plot::Arrow2d([0, 0], [1, 1])): plot(T)
The Shift vector is the first argument in the call above. It is stored in the corresponding slot of the translation object T:
We change the shift vector:
T::Shift := [a, 0]: plot(T)