Several other terms are added to the vectors package. The first is the variable M_PI, which contains the value of pi.

Examples: vmd > set M_PI Info) 3.14159265358979323846 vmd > expr 90 * ($M_PI / 180) Info) 1.5708

The functions `trans_from_rot`, `trans_to_rot`, `trans_from_offset`, and `trans_to_offset` are used to get or set a
transformation matrix from either a 3x3 rotation matrix or offset
vector. As currently designed, these assume there is no scaling in
the matrix. The `trans_from_offset` is identical to `transoffset` and is present for completeness.

The last is `find_rotation_value varname`, which takes a
variable name and extracts from the beginning of it those terms which
describe an amount of rotation. The rest of the data in the variable
remains, and the amount of rotation, in radians, is returned. This is
used by those functions which need a rotation. The valid values are:
a number, followed by one of `rad`, `radian`, or `radians`
for a value in radians, the word `pi` to give the rotation in
factors of pi, or one of `deg`, `degree`, or `degrees` for
a value in degrees. If no units are given, the value is assumed to be
in degrees.

Examples:

vmd > set a "180 deg north" Info) 180 deg north vmd > find_rotation_value a Info) 3.14159 vmd > set a Info) north vmd > set a "1 pi to eat" Info) 1 pi to eat vmd > find_rotation_value a Info) 3.14159 vmd > set a Info) to eat vmd > set a 45 Info) 45 vmd > find_rotation_value a Info) 0.785398 vmd > expr $M_PI * 3.0 / 2.0 Info) 4.71239 vmd > set a "4.71238 radians" Info) 4.71238 radians vmd > find_rotation_value a Info) 4.71238