Player OOB ....voluntarily v. involuntarily

[lookin2improve]

Had this situation described...need expert advice:
A1 dribbling in A's backcourt up the sideline. B1 and B2 apply pressure, forcing A1 toward the division line/sideline corner. Just before becoming completely trapped, A1 pushes/passes the ball through the defenders, steps OOB, runs around defenders to frontcourt, steps back IB, grabs the ball.

Violation?

Due to the fact that A1 left the court voluntarily I would say it is a violation.

Another question is a modification of the above scenario, what if A1 leaves the court involuntarily?

Thanks in advance for the comments.