Ball thrown to oneself off backboard - legal?

[bucky]

Picking up from another thread....

A1 dribbles the ball and stops, holding the ball. While holding the ball, A1 jumps in the air and obviously throws the ball off the backboard, the backboard being that of the hoop into which Team A is trying to score. A1 lands on the floor, immediately jumps in the air, catches the ball that A1 threw off the backboard, shoots, and scores. Legal?

A1 was not shooting and A1 was not passing in the throw off the backboard. A1 told us this before the play

Happens occasionally in the NBA, especially in All-Star games. Not interested in a ruling for NBA but rather NCAAM/NFHS. I vaguely recall Adams/Collins showing this play and indicating it was not legal. I also vaguely recall them not indicating what the violation would be. I am extremely confident that NCAAM/NFHS case plays exist but just can't recall them.