The chorus of 'Purple Rain' is particularly powerful, with its repetition of the title phrase and its hypnotic, guitar-driven melody. They express a desire to see this person happy, to see them 'laughing in the purple rain.' The repeated mentions of purple rain - an ethereal, otherworldly concept - suggest a longing for something beyond the mundane, a desire to transcend the ordinary and connect on a deeper level. The singer is expressing regret for having caused someone pain, and is reaching out in an attempt to make things right.
The lyrics to Prince's 'Purple Rain' can be interpreted in a number of ways, but one overarching theme is the desire for connection and acceptance.