The Last Unicorn

Continued. . .
When the carnival opened the next day and the crowds came through, the unicorn, now imprisoned, saw that Mummy Fortuna's creatures were not legendary creatures at all, but regular creatures such as snakes, lions, and apes with no magical talents that had been tranformed into satyrs, manticores, and the such.  This Schmendrick told her, and he befriended the creature and hoped to set her, a real beast of legend, free.
There was one other creature in Mummy Fortuna's camp that was real, however, and it was the harpy Celaeno.  Everyday the terrible creature threatened in its own way to kill Mummy Fortuna and the others in the camp, and every day Mummy Fortuna had to place a spell on it to keep it in its cage.  The unicorn later begged Mummy Fortuna to set her and the harpy free, but the old witch refused.
Later that night, Schmendrick stole Rukh's keys and set the unicorn free, releasing her from the old witch's false horn spell, and the unicorn felt she had to free the other animals in the camp.  Including the harpy.
But Mummy Fortuna and Rukh caught Schmendrick in the act, and they attempted to keep what they still had.  Rukh and Schmendrick fought while Mummy Fortuna sought to hold her harpy, which had by that time been released by the unicorn and was frenzy with the desire to kill.
The harpy killed Mummy Fortuna, devoured her, and proceeded to finish off Rukh.
Schmendrick and the unicorn escaped, and as a reward for having freed her, the unicorn allowed Schmendrick to go along with her on her quest to find the unicorns.  Schmendrick had some knowledge of the Red Bull and of King Haggard, who supposedly owned the Bull in a faraway, dreary castle by the sea.  Together the set off in search of Haggard's castle.
"Like a newborn child, the magician wept for a long time before he could speak.  'The poor old woman,' he whispered at last.  The unicorn said nothing, and Schmendrick raised his head and stared at her in a strange way.  A gray morning rain was beginning to fall, and she shone through it like a dolphin.  'No,' she said, answering his eyes.  'I can never regret.' "
Peter S. Beagle
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I know this story; take me to the movie info.