The adj mad has 4 senses (first 3 from tagged texts)
1. (12) huffy, mad, sore -- (roused to anger; "stayed huffy a good while"- Mark Twain; "she gets mad when you wake her up so early"; "mad at his friend"; "sore over a remark")
2. (10) brainsick, crazy, demented, distracted, disturbed, mad, sick, unbalanced, unhinged -- (affected with madness or insanity; "a man who had gone mad")
3. (9) delirious, excited, frantic, mad, unrestrained -- (marked by uncontrolled excitement or emotion; "a crowd of delirious baseball fans"; "something frantic in their gaiety"; "a mad whirl of pleasure")
4. harebrained, insane, mad -- (very foolish; "harebrained ideas"; "took insane risks behind the wheel"; "a completely mad scheme to build a bridge between two mountains")