Rotation and Elevation in One Command?

I would like to take an object and rotate it some random amount around any or all of its three axis and, at the same time, move it up or down in some random amount all at the same time. Can this be done with one llSetPos or llSetRot command? Rotations, vectors, etc... currently are more than my little brain can wrap itself around, and I would appreciate any advice anyone has.

Thank you,
Rutherford Beresford

llSetPrimitiveParams( [PRIM_POSITION, /*// insert vector //*/, PRIM_ROTATION, /*// insert rotation //*/] );

https://wiki.secondlife.com/wiki/LlSetPrimitiveParams
beware of SVC-93 when rotating child prims.
https://jira.secondlife.com/browse/SVC-93

I found this in the WIKI...

vector currentPos = llGetPos();
vector rotPoint = llGetPos() + <1, 1, 1>; // in global coordinates
vector newPos = rotPoint + ((currentPos - rotPoint) * x_45);
llSetPos(newPos);

...and was wondering, since it mentions both rotation and position if this might be close, provided I change X_45 to the random rotation I'm looking for?

That snippet will move your object upward along the body diagonal of a 1m cube and then rotate it (presumably 45 degrees around the X-axis), assuming that you have provided some description of what the variable x_45 is. You can of course define x_45 any way you like. If you want some other angular movement around another axis, just redefine x_45 or replace it with something else.

So if I want to just "move" up or down in addition to rotating I would change

vector rotPoint = llGetPos() + <1, 1, 1>;

to

vector rotPoint = llGetPos() + <0, 0, UpDwnAmt>;

to get the job done?

Yup. This part of the script is calculating the offset from the current position, llGetPos(). When you add vectors, you sum their individual components (x,y,z) to get the new vector, so rotpoint = <x, y, z> + <0,0,UpDwnAmt> = <x,y, z+UpDownAmt>. The offset's the easy part. Calculating the rotation around rotpoint is the rest of the game. That's where you need to define the variable x_45 that you had before.

That produced some interesting results, although not quite what I'm looking for. It moved the box up, down, left, ride, and side to side based on the values I gave it, but it didn't actually move the box just up and down and then tilt the box in the desired new position.

This code got me close to where I want to be...

vector newPos = origPos + <0, 0, z_mov>;
rotation new_rot = xyz_rot * origRot;
llSetRot(new_rot);
llSetPos(newPos);

...but there is just the slightest bit of jerky-ness between the llSetRot and the llSetPos. Is there any way to make it look as though it was just one fluid movement from current location with adjusting rotation and then adjusting position?

Use Void's advice (post #2) and put your new_rot and newPos into llSetPrimitiveParams .....

llSetPrimitiveParams([PRIM_POSITION, newPos,PRIM_ROTATION,new_rot]);