Re: trajectory calculations...
well...it looks strange. The law, I am sure, would find him competent to stand trail because he probably wouldn't meet the legal definition of insane. As far as I'm concerned, anyone who does something like that has to be, first and foremost, crazier than a shiithouse mouse. There's no telling what the crazy phucker did in that room before hand.
Maybe he did do some trajectory calculations, because it was his nature, unnecessary as they would have been.