Recursively copy files in Rust

/// Copy files from source to destination recursively.
pub fn copy_recursively(source: impl AsRef<Path>, destination: impl AsRef<Path>) -> io::Result<()> {
    fs::create_dir_all(&destination)?;
    for entry in fs::read_dir(source)? {
        let entry = entry?;
        let filetype = entry.file_type()?;
        if filetype.is_dir() {
            copy_recursively(entry.path(), destination.as_ref().join(entry.file_name()))?;
        } else {
            fs::copy(entry.path(), destination.as_ref().join(entry.file_name()))?;
        }
    }
    Ok(())
}