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protocol: Fix Arith
[majurity.git] / hjugement-protocol / Protocol / Credential.hs
1 module Protocol.Credential where
2
3 import Control.Monad (Monad(..), replicateM)
4 import Data.Bool
5 import Data.Eq (Eq(..))
6 import Data.Either (Either(..))
7 import Data.Function (($), (.))
8 import Data.Functor ((<$>))
9 import Data.Int (Int)
10 import Data.Ord (Ord(..))
11 import Data.Text (Text)
12 import Prelude (Integral(..), fromIntegral)
13 import Text.Show (Show)
14 import qualified Control.Monad.Trans.State.Strict as S
15 import qualified Data.Char as Char
16 import qualified Data.List as List
17 import qualified Data.Text as Text
18 import qualified System.Random as Random
19
20 import Protocol.Arith
21
22 -- * Type 'Credential'
23 -- | A 'Credential' is a word of 15-characters from the alphabet:
24 -- "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz".
25 -- The last character is a checksum.
26 -- The entropy is: @(14 * log (9+26+26) / log 2) ~ 83.03 bits@.
27 newtype Credential p = Credential Text
28 deriving (Eq, Show)
29
30 tokenBase :: F p
31 tokenBase = F (9+26+26)
32 tokenLength ::Int
33 tokenLength = 14
34
35 -- | @'randomCredential'@ generates a random credential.
36 randomCredential ::
37 forall m p r.
38 Monad m =>
39 PrimeField p =>
40 Random.RandomGen r =>
41 S.StateT r m (Credential p)
42 randomCredential = do
43 rs <- replicateM tokenLength (randomR (fromIntegral (unF tokenBase)))
44 let (tot, cs) = List.foldl' (\(acc,ds) d ->
45 ( acc * tokenBase + inF d
46 , charOfDigit d : ds
47 )
48 ) (zero::F p, []) rs
49 let checksum = 53 - fromIntegral (unF tot `mod` 53)
50 return $ Credential $ Text.reverse $ Text.pack (charOfDigit checksum:cs)
51 where
52 charOfDigit d
53 | d < 9 = Char.chr (Char.ord '1'+d)
54 | d < (9+26) = Char.chr (Char.ord 'A'+d-9)
55 | otherwise = Char.chr (Char.ord 'a'+d-9-26)
56
57 -- | @'readCredential'@ reads and check the well-formedness of a 'Credential'
58 -- from raw 'Text'.
59 readCredential ::
60 forall p.
61 PrimeField p =>
62 Text -> Either CredentialError (Credential p)
63 readCredential s
64 | Text.length s /= tokenLength + 1 = Left CredentialError_Length
65 | otherwise = do
66 tot <- Text.foldl'
67 (\acc c -> acc >>= \a -> ((a * tokenBase) +) <$> digitOfChar c)
68 (Right (zero::F p))
69 (Text.init s)
70 checksum <- digitOfChar (Text.last s)
71 if unF (tot + checksum) `mod` 53 == 0
72 then Right (Credential s)
73 else Left CredentialError_Checksum
74 where
75 digitOfChar c
76 | c < '1' = err
77 | c <= '9' = Right (inF $ Char.ord c - Char.ord '1')
78 | c < 'A' = err
79 | c <= 'Z' = Right (inF $ Char.ord c - Char.ord 'A' + 9)
80 | c < 'a' = err
81 | c <= 'z' = Right (inF $ Char.ord c - Char.ord 'a' + 9 + 26)
82 | otherwise = err
83 where err = Left $ CredentialError_BadChar c
84
85 -- ** Type 'CredentialError'
86 data CredentialError
87 = CredentialError_BadChar Char.Char
88 | CredentialError_Checksum
89 | CredentialError_Length
90 deriving (Eq, Show)