What are trolls and giants in Middle-Earth?

So Tolkien has equal parts good and evil. The evil creatures are in mockery of the good.
Elves-Orcs
Dwarves-Goblins
Good Men-Evil Men
Uruks and uruk-hai are exceptions because Uruks are orc and goblin procreation, while uruk-hai are uruk and human hybridizaiton.
Then we have giants and tolls. Now we could aruge that one is the mockery of ents, but that still leaves one out, and which one is the mockery one?

What are trolls and giants in Middle-Earth?
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