Function normalize_path 

pub fn normalize_path(input: &str) -> String

Normalizes a path string by cleaning up dots and empty components.

This function implements the core path normalization logic:

• Empty string “” → empty string (refers to current Doc)
• Leading dots “.user” → “user”
• Trailing dots “user.” → “user”
• Consecutive dots “user..profile” → “user.profile”
• Pure dots “…” → empty string

Examples

assert_eq!(normalize_path(""), "");
assert_eq!(normalize_path(".user"), "user");
assert_eq!(normalize_path("user."), "user");
assert_eq!(normalize_path("user..profile"), "user.profile");
assert_eq!(normalize_path("..."), "");
assert_eq!(normalize_path("user.profile.name"), "user.profile.name");