Circe knows who Odysseus is because she is a goddess-enchantress. She has the gift of fore sight and sees who Odysseus is right away. She also give Odysseus prophesies that help him reach home.
circe sends odysseus to the underworld
Circe turned Odysseus' men Into swine.
There is no mention of a compass in Circe's gifts to Odysseus.
circe and calypso. both were goddesses
Hermes warned Odysseus about Circe's magic.
Circe turns Odysseus' men into swine.
Circe was opening the door of her estate for Odysseus.
Odysseus' crew men ask Odysseus to leave Circe's island after a year on her island.
Circe warns Odysseus about the Sirens, Charybdis, and Skylla.
Circe turned half of Odysseus' men into swine (pigs).
the dangers that he would face at sea that is what circe warned odysseus.