// Copyright (C) 2014 Jakob Borg // Package luhn generates and validates Luhn mod N check digits. package luhn import ( "fmt" "strings" ) // An alphabet is a string of N characters, representing the digits of a given // base N. type Alphabet string var ( Base32 Alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZ234567" ) // Generate returns a check digit for the string s, which should be composed // of characters from the Alphabet a. func (a Alphabet) Generate(s string) (rune, error) { if err := a.check(); err != nil { return 0, err } factor := 1 sum := 0 n := len(a) for i := range s { codepoint := strings.IndexByte(string(a), s[i]) if codepoint == -1 { return 0, fmt.Errorf("Digit %q not valid in alphabet %q", s[i], a) } addend := factor * codepoint if factor == 2 { factor = 1 } else { factor = 2 } addend = (addend / n) + (addend % n) sum += addend } remainder := sum % n checkCodepoint := (n - remainder) % n return rune(a[checkCodepoint]), nil } // Validate returns true if the last character of the string s is correct, for // a string s composed of characters in the alphabet a. func (a Alphabet) Validate(s string) bool { t := s[:len(s)-1] c, err := a.Generate(t) if err != nil { return false } return rune(s[len(s)-1]) == c } // check returns an error if the given alphabet does not consist of unique characters func (a Alphabet) check() error { cm := make(map[byte]bool, len(a)) for i := range a { if cm[a[i]] { return fmt.Errorf("Digit %q non-unique in alphabet %q", a[i], a) } cm[a[i]] = true } return nil }