Shift, ShiftX, ShiftY, ShiftZ

Shift vector

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Value Summary

ShiftLibrary wrapper for “[ShiftX, ShiftY]” (2D), “[ShiftX, ShiftY, ShiftZ]” (3D)List of 2 or 3 expressions, depending on the dimension
ShiftX, ShiftY, ShiftZOptionalMuPAD® 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.


Example 1

We move an arrow along the y-axis:

T := plot::Translate2d([0, a], a = 0..5,
                       plot::Arrow2d([0, 0], [1, 1])):

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]:

delete T:

See Also

MuPAD Functions