Hatfield is always a good bet for anger, but I don't know about the other two.
'Heavy' may have an element of sadness or reflection that would make it slow
and brutal, whereas 'anger' tenRAB more toward unreflecting rage, I think.
But too much rage begins to be unmusical.
Thrash metal could be the ideal vessel to carry a musical mixture
of both sadness and rage, such as in Annihilator's 'All For You'.
I especially like the bass line in this:
[youtube]MaNwjFWIiI0[/youtube]