{-# LANGUAGE OverloadedStrings #-} import Test.HUnit ((~:), (~=?)) import qualified Test.HUnit as Unit import Test.QuickCheck import Test.QuickCheck.Test import System.IO (hFlush, stdout) import Control.Monad import Control.Arrow (first) import Control.Applicative ((<$>)) import Data.List (intercalate) import Data.Char import Data.Bits import Data.Word import qualified Data.Vector.Unboxed as V import qualified Data.ByteString as B import qualified Data.ByteString.Char8 as BC -- for DSA import qualified Crypto.Hash.SHA1 as SHA1 -- numbers import Number.ModArithmetic import Number.Basic import Number.Prime import Number.Serialize -- ciphers/Kexch import qualified Crypto.Cipher.AES as AES import qualified Crypto.Cipher.RC4 as RC4 import qualified Crypto.Cipher.Camellia as Camellia import qualified Crypto.Cipher.RSA as RSA import qualified Crypto.Cipher.DSA as DSA import qualified Crypto.Cipher.DH as DH import Crypto.Random encryptStream fi fc key plaintext = B.unpack $ snd $ fc (fi key) plaintext encryptBlock fi fc key plaintext = let e = fi (B.pack key) in case e of Right k -> B.unpack $ fc k plaintext Left e -> error e wordify :: [Char] -> [Word8] wordify = map (toEnum . fromEnum) vectors_aes128_enc = [ ( [0x10, 0xa5, 0x88, 0x69, 0xd7, 0x4b, 0xe5, 0xa3,0x74,0xcf,0x86,0x7c,0xfb,0x47,0x38,0x59] , B.replicate 16 0 , [0x6d,0x25,0x1e,0x69,0x44,0xb0,0x51,0xe0,0x4e,0xaa,0x6f,0xb4,0xdb,0xf7,0x84,0x65] ) , ( replicate 16 0 , B.replicate 16 0 , [0x66,0xe9,0x4b,0xd4,0xef,0x8a,0x2c,0x3b,0x88,0x4c,0xfa,0x59,0xca,0x34,0x2b,0x2e] ) , ( replicate 16 0 , B.replicate 16 1 , [0xe1,0x4d,0x5d,0x0e,0xe2,0x77,0x15,0xdf,0x08,0xb4,0x15,0x2b,0xa2,0x3d,0xa8,0xe0] ) , ( replicate 16 1 , B.replicate 16 2 , [0x17,0xd6,0x14,0xf3,0x79,0xa9,0x35,0x90,0x77,0xe9,0x55,0x77,0xfd,0x31,0xc2,0x0a] ) , ( replicate 16 2 , B.replicate 16 1 , [0x8f,0x42,0xc2,0x4b,0xee,0x6e,0x63,0x47,0x2b,0x16,0x5a,0xa9,0x41,0x31,0x2f,0x7c] ) , ( replicate 16 3 , B.replicate 16 2 , [0x90,0x98,0x85,0xe4,0x77,0xbc,0x20,0xf5,0x8a,0x66,0x97,0x1d,0xa0,0xbc,0x75,0xe3] ) ] vectors_aes192_enc = [ ( replicate 24 0 , B.replicate 16 0 , [0xaa,0xe0,0x69,0x92,0xac,0xbf,0x52,0xa3,0xe8,0xf4,0xa9,0x6e,0xc9,0x30,0x0b,0xd7] ) , ( replicate 24 0 , B.replicate 16 1 , [0xcf,0x1e,0xce,0x3c,0x44,0xb0,0x78,0xfb,0x27,0xcb,0x0a,0x3e,0x07,0x1b,0x08,0x20] ) , ( replicate 24 1 , B.replicate 16 2 , [0xeb,0x8c,0x17,0x30,0x90,0xc7,0x5b,0x77,0xd6,0x72,0xb4,0x57,0xa7,0x78,0xd9,0xd0] ) , ( replicate 24 2 , B.replicate 16 1 , [0xf2,0xf0,0xae,0xd8,0xcd,0xc9,0x21,0xca,0x4b,0x55,0x84,0x5d,0xa4,0x15,0x21,0xc2] ) , ( replicate 24 3 , B.replicate 16 2 , [0xca,0xcc,0x30,0x79,0xe4,0xb7,0x95,0x27,0x63,0xd2,0x55,0xd6,0x34,0x10,0x46,0x14] ) ] vectors_aes256_enc = [ ( replicate 32 0 , B.replicate 16 0 , [0xdc,0x95,0xc0,0x78,0xa2,0x40,0x89,0x89,0xad,0x48,0xa2,0x14,0x92,0x84,0x20,0x87] ) , ( replicate 32 0 , B.replicate 16 1 , [0x7b,0xc3,0x02,0x6c,0xd7,0x37,0x10,0x3e,0x62,0x90,0x2b,0xcd,0x18,0xfb,0x01,0x63] ) , ( replicate 32 1 , B.replicate 16 2 , [0x62,0xae,0x12,0xf3,0x24,0xbf,0xea,0x08,0xd5,0xf6,0x75,0xb5,0x13,0x02,0x6b,0xbf] ) , ( replicate 32 2 , B.replicate 16 1 , [0x00,0xf9,0xc7,0x44,0x4b,0xb0,0xcc,0x80,0x6c,0x7c,0x39,0xee,0x22,0x11,0xf1,0x46] ) , ( replicate 32 3 , B.replicate 16 2 , [0xb4,0x05,0x87,0x3e,0xa0,0x76,0x1b,0x9c,0xa9,0x9f,0x70,0xb0,0x16,0x16,0xce,0xb1] ) ] vectors_aes128_dec = [ ( replicate 16 0 , B.replicate 16 0 , [0x14,0x0f,0x0f,0x10,0x11,0xb5,0x22,0x3d,0x79,0x58,0x77,0x17,0xff,0xd9,0xec,0x3a] ) , ( replicate 16 0 , B.replicate 16 1 , [0x15,0x6d,0x0f,0x85,0x75,0xd5,0x33,0x07,0x52,0xf8,0x4a,0xf2,0x72,0xff,0x30,0x50] ) , ( replicate 16 1 , B.replicate 16 2 , [0x34,0x37,0xd6,0xe2,0x31,0xd7,0x02,0x41,0x9b,0x51,0xb4,0x94,0x72,0x71,0xb6,0x11] ) , ( replicate 16 2 , B.replicate 16 1 , [0xe3,0xcd,0xe2,0x37,0xc8,0xf2,0xd9,0x7b,0x8d,0x79,0xf9,0x17,0x1d,0x4b,0xda,0xc1] ) , ( replicate 16 3 , B.replicate 16 2 , [0x5b,0x94,0xaa,0xed,0xd7,0x83,0x99,0x8c,0xd5,0x15,0x35,0x35,0x18,0xcc,0x45,0xe2] ) ] vectors_aes192_dec = [ ( replicate 24 0 , B.replicate 16 0 , [0x13,0x46,0x0e,0x87,0xa8,0xfc,0x02,0x3e,0xf2,0x50,0x1a,0xfe,0x7f,0xf5,0x1c,0x51] ) , ( replicate 24 0 , B.replicate 16 1 , [0x92,0x17,0x07,0xc3,0x3d,0x1c,0xc5,0x96,0x7d,0xa5,0x1d,0xbb,0xb0,0x66,0xb2,0x6c] ) , ( replicate 24 1 , B.replicate 16 2 , [0xee,0x92,0x97,0xc6,0xba,0xe8,0x26,0x4d,0xff,0x08,0x0e,0xbb,0x1e,0x74,0x11,0xc1] ) , ( replicate 24 2 , B.replicate 16 1 , [0x49,0x67,0xdf,0x70,0xd2,0x9e,0x9a,0x7f,0x5d,0x7c,0xb9,0xc1,0x20,0xc3,0x8a,0x71] ) , ( replicate 24 3 , B.replicate 16 2 , [0x74,0x38,0x62,0x42,0x6b,0x56,0x7f,0xd5,0xf0,0x1d,0x1b,0x59,0x56,0x01,0x26,0x29] ) ] vectors_aes256_dec = [ ( replicate 32 0 , B.replicate 16 0 , [0x67,0x67,0x1c,0xe1,0xfa,0x91,0xdd,0xeb,0x0f,0x8f,0xbb,0xb3,0x66,0xb5,0x31,0xb4] ) , ( replicate 32 0 , B.replicate 16 1 , [0xcc,0x09,0x21,0xa3,0xc5,0xca,0x17,0xf7,0x48,0xb7,0xc2,0x7b,0x73,0xba,0x87,0xa2] ) , ( replicate 32 1 , B.replicate 16 2 , [0xc0,0x4b,0x27,0x90,0x1a,0x50,0xcf,0xfa,0xf1,0xbb,0x88,0x9f,0xc0,0x92,0x5e,0x14] ) , ( replicate 32 2 , B.replicate 16 1 , [0x24,0x61,0x53,0x5d,0x16,0x1c,0x15,0x39,0x88,0x32,0x77,0x29,0xc5,0x8c,0xc0,0x3a] ) , ( replicate 32 3 , B.replicate 16 2 , [0x30,0xc9,0x1c,0xce,0xfe,0x89,0x30,0xcf,0xff,0x31,0xdb,0xcc,0xfc,0x11,0xc5,0x23] ) ] aes128InitKey = AES.initKey128 aes192InitKey = AES.initKey192 aes256InitKey = AES.initKey256 vectors_rc4 = [ (wordify "Key", "Plaintext", [ 0xBB,0xF3,0x16,0xE8,0xD9,0x40,0xAF,0x0A,0xD3 ]) , (wordify "Wiki", "pedia", [ 0x10,0x21,0xBF,0x04,0x20 ]) , (wordify "Secret", "Attack at dawn", [ 0x45,0xA0,0x1F,0x64,0x5F,0xC3,0x5B,0x38,0x35,0x52,0x54,0x4B,0x9B,0xF5 ]) ] vectors_camellia128 = [ ( replicate 16 0 , B.replicate 16 0 , [0x3d,0x02,0x80,0x25,0xb1,0x56,0x32,0x7c,0x17,0xf7,0x62,0xc1,0xf2,0xcb,0xca,0x71] ) , ( [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10] , B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10] , [0x67,0x67,0x31,0x38,0x54,0x96,0x69,0x73,0x08,0x57,0x06,0x56,0x48,0xea,0xbe,0x43] ) ] vectors_camellia192 = [ ( [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77] , B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10] ,[0xb4,0x99,0x34,0x01,0xb3,0xe9,0x96,0xf8,0x4e,0xe5,0xce,0xe7,0xd7,0x9b,0x09,0xb9] ) ] vectors_camellia256 = [ ( [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10 ,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff] , B.pack [0x01,0x23,0x45,0x67,0x89,0xab,0xcd,0xef,0xfe,0xdc,0xba,0x98,0x76,0x54,0x32,0x10] , [0x9a,0xcc,0x23,0x7d,0xff,0x16,0xd7,0x6c,0x20,0xef,0x7c,0x91,0x9e,0x3a,0x75,0x09] ) ] vectors = [ ("RC4", vectors_rc4, encryptStream RC4.initCtx RC4.encrypt) , ("AES128 Enc", vectors_aes128_enc, encryptBlock aes128InitKey AES.encrypt) , ("AES192 Enc", vectors_aes192_enc, encryptBlock aes192InitKey AES.encrypt) , ("AES256 Enc", vectors_aes256_enc, encryptBlock aes256InitKey AES.encrypt) , ("AES128 Dec", vectors_aes128_dec, encryptBlock aes128InitKey AES.decrypt) , ("AES192 Dec", vectors_aes192_dec, encryptBlock aes192InitKey AES.decrypt) , ("AES256 Dec", vectors_aes256_dec, encryptBlock aes256InitKey AES.decrypt) , ("Camellia", vectors_camellia128, encryptBlock Camellia.initKey Camellia.encrypt) ] utests :: [Unit.Test] utests = concatMap (\(name, v, f) -> map (\(k,p,e) -> name ~: name ~: e ~=? f k p) v) vectors {- end of units tests -} {- start of QuickCheck verification -} prop_gcde_binary_valid (Positive a, Positive b) = let (x,y,v) = gcde_binary a b in let (x',y',v') = gcde a b in and [v==v', a*x' + b*y' == v', a*x + b*y == v, gcd a b == v] prop_modexp_rtl_valid (NonNegative a, NonNegative b, Positive m) = exponantiation_rtl_binary a b m == ((a ^ b) `mod` m) prop_modinv_valid (Positive a, Positive m) | m > 1 = case inverse a m of Just ainv -> (ainv * a) `mod` m == 1 Nothing -> True | otherwise = True prop_sqrti_valid (Positive i) = l*l <= i && i <= u*u where (l, u) = sqrti i prop_generate_prime_valid i = -- becuase of the next naive test, we can't generate easily number above 32 bits -- otherwise it slows down the tests to uselessness. when AKS or ECPP is implemented -- we can revisit the number here let p = withAleasInteger rng i (\g -> generatePrime g 32) in -- FIXME test if p is around 32 bits primalityTestNaive p prop_miller_rabin_valid i | i <= 3 = True | otherwise = -- miller rabin only returns with certitude that the integer is composite. let b = withAleasInteger rng i (\g -> isProbablyPrime g i) in (b == False && primalityTestNaive i == False) || b == True withAleasInteger rng i f = case reseed (i2osp (if i < 0 then -i else i)) rng of Left _ -> error "impossible" Right rng' -> case f rng' of Left _ -> error "impossible" Right v -> fst v newtype RSAMessage = RSAMessage B.ByteString deriving (Show, Eq) instance Arbitrary RSAMessage where arbitrary = do sz <- choose (0, 128 - 11) ws <- replicateM sz (choose (0,255) :: Gen Int) return $ RSAMessage $ B.pack $ map fromIntegral ws {- this is a just test rng. this is absolutely not a serious RNG. DO NOT use elsewhere -} data Rng = Rng (Int, Int) getByte :: Rng -> (Word8, Rng) getByte (Rng (mz, mw)) = let mz2 = 36969 * (mz `mod` 65536) in let mw2 = 18070 * (mw `mod` 65536) in (fromIntegral (mz2 + mw2), Rng (mz2, mw2)) getBytes 0 rng = ([], rng) getBytes n rng = let (b, rng') = getByte rng in let (l, rng'') = getBytes (n-1) rng' in (b:l, rng'') instance CryptoRandomGen Rng where newGen _ = Right (Rng (2,3)) genSeedLength = 0 genBytes len g = Right $ first B.pack $ getBytes len g reseed bs (Rng (a,b)) = Right $ Rng (fromIntegral a', b) where a' = ((fromIntegral a) + i * 36969) `mod` 65536 i = os2ip bs rng = Rng (1,2) {-----------------------------------------------------------------------------------------------} {- testing RSA -} {-----------------------------------------------------------------------------------------------} prop_rsa_generate_valid (Positive i, RSAMessage msgz) = let keysz = 64 in let (pub,priv) = withAleasInteger rng i (\g -> RSA.generate g keysz 65537) in let msg = B.take (keysz - 11) msgz in (RSA.private_p priv * RSA.private_q priv == RSA.private_n priv) && ((RSA.private_d priv * RSA.public_e pub) `mod` ((RSA.private_p priv - 1) * (RSA.private_q priv - 1)) == 1) && (either Left (RSA.decrypt priv . fst) $ RSA.encrypt rng pub msg) == Right msg prop_rsa_valid fast (RSAMessage msg) = (either Left (RSA.decrypt pk . fst) $ RSA.encrypt rng rsaPublickey msg) == Right msg where pk = if fast then rsaPrivatekey else rsaPrivatekey { RSA.private_p = 0, RSA.private_q = 0 } prop_rsa_fast_valid = prop_rsa_valid True prop_rsa_slow_valid = prop_rsa_valid False prop_rsa_sign_valid fast (RSAMessage msg) = (either Left (\smsg -> verify msg smsg) $ sign msg) == Right True where verify = RSA.verify (SHA1.hash) sha1desc rsaPublickey sign = RSA.sign (SHA1.hash) sha1desc pk sha1desc = B.pack [0x30,0x21,0x30,0x09,0x06,0x05,0x2b,0x0e,0x03, 0x02,0x1a,0x05,0x00,0x04,0x14] pk = if fast then rsaPrivatekey else rsaPrivatekey { RSA.private_p = 0, RSA.private_q = 0 } prop_rsa_sign_fast_valid = prop_rsa_sign_valid True prop_rsa_sign_slow_valid = prop_rsa_sign_valid False rsaPrivatekey = RSA.PrivateKey { RSA.private_sz = 128 , RSA.private_n = 140203425894164333410594309212077886844966070748523642084363106504571537866632850620326769291612455847330220940078873180639537021888802572151020701352955762744921926221566899281852945861389488419179600933178716009889963150132778947506523961974222282461654256451508762805133855866018054403911588630700228345151 , RSA.private_d = 133764127300370985476360382258931504810339098611363623122953018301285450176037234703101635770582297431466449863745848961134143024057267778947569638425565153896020107107895924597628599677345887446144410702679470631826418774397895304952287674790343620803686034122942606764275835668353720152078674967983573326257 , RSA.private_p = 12909745499610419492560645699977670082358944785082915010582495768046269235061708286800087976003942261296869875915181420265794156699308840835123749375331319 , RSA.private_q = 10860278066550210927914375228722265675263011756304443428318337179619069537063135098400347475029673115805419186390580990519363257108008103841271008948795129 , RSA.private_dP = 5014229697614831746694710412330921341325464081424013940131184365711243776469716106024020620858146547161326009604054855316321928968077674343623831428796843 , RSA.private_dQ = 3095337504083058271243917403868092841421453478127022884745383831699720766632624326762288333095492075165622853999872779070009098364595318242383709601515849 , RSA.private_qinv = 11136639099661288633118187183300604127717437440459572124866697429021958115062007251843236337586667012492941414990095176435990146486852255802952814505784196 } rsaPublickey = RSA.PublicKey { RSA.public_sz = 128 , RSA.public_n = 140203425894164333410594309212077886844966070748523642084363106504571537866632850620326769291612455847330220940078873180639537021888802572151020701352955762744921926221566899281852945861389488419179600933178716009889963150132778947506523961974222282461654256451508762805133855866018054403911588630700228345151 , RSA.public_e = 65537 } {-----------------------------------------------------------------------------------------------} {- testing DSA -} {-----------------------------------------------------------------------------------------------} dsaParams = (p,g,q) where p = 0x00a8c44d7d0bbce69a39008948604b9c7b11951993a5a1a1fa995968da8bb27ad9101c5184bcde7c14fb79f7562a45791c3d80396cefb328e3e291932a17e22edd g = 0x0bf9fe6c75d2367b88912b2252d20fdcad06b3f3a234b92863a1e30a96a123afd8e8a4b1dd953e6f5583ef8e48fc7f47a6a1c8f24184c76dba577f0fec2fcd1c q = 0x0096674b70ef58beaaab6743d6af16bb862d18d119 dsaPrivatekey = DSA.PrivateKey { DSA.private_params = dsaParams , DSA.private_x = 0x229bac7aa1c7db8121bfc050a3426eceae23fae8 } dsaPublickey = DSA.PublicKey { DSA.public_params = dsaParams , DSA.public_y = 0x4fa505e86e32922f1fa1702a120abdba088bb4be801d4c44f7fc6b9094d85cd52c429cbc2b39514e30909b31e2e2e0752b0fc05c1a7d9c05c3e52e49e6edef4c } prop_dsa_valid (RSAMessage msg) = case DSA.verify signature (SHA1.hash) dsaPublickey msg of Left err -> False Right b -> b where Right (signature, rng') = DSA.sign rng (SHA1.hash) dsaPrivatekey msg {-----------------------------------------------------------------------------------------------} {- testing DH -} {-----------------------------------------------------------------------------------------------} instance Arbitrary DH.PrivateNumber where arbitrary = fromIntegral <$> (suchThat (arbitrary :: Gen Integer) (\x -> x >= 1)) prop_dh_valid (xa, xb) = sa == sb where sa = DH.getShared dhparams xa yb sb = DH.getShared dhparams xb ya yb = DH.generatePublic dhparams xb ya = DH.generatePublic dhparams xa dhparams = (11, 7) {-----------------------------------------------------------------------------------------------} {- testing AES -} {-----------------------------------------------------------------------------------------------} data AES128Message = AES128Message B.ByteString B.ByteString B.ByteString deriving (Show, Eq) data AES192Message = AES192Message B.ByteString B.ByteString B.ByteString deriving (Show, Eq) data AES256Message = AES256Message B.ByteString B.ByteString B.ByteString deriving (Show, Eq) arbitraryAES keysize = do sz <- choose (1, 12) ws <- replicateM (sz*16) (choose (0,255) :: Gen Int) key <- replicateM keysize (choose (0,255) :: Gen Int) iv <- replicateM 16 (choose (0,255) :: Gen Int) return (ws, key, iv) instance Arbitrary AES128Message where arbitrary = do (ws, key, iv) <- arbitraryAES 16 return $ AES128Message (B.pack $ map fromIntegral key) (B.pack $ map fromIntegral iv) (B.pack $ map fromIntegral ws) instance Arbitrary AES192Message where arbitrary = do (ws, key, iv) <- arbitraryAES 24 return $ AES192Message (B.pack $ map fromIntegral key) (B.pack $ map fromIntegral iv) (B.pack $ map fromIntegral ws) instance Arbitrary AES256Message where arbitrary = do (ws, key, iv) <- arbitraryAES 32 return $ AES256Message (B.pack $ map fromIntegral key) (B.pack $ map fromIntegral iv) (B.pack $ map fromIntegral ws) prop_ecb_valid k msg = AES.decrypt k (AES.encrypt k msg) == msg prop_cbc_valid k iv msg = AES.decryptCBC k iv (AES.encryptCBC k iv msg) == msg prop_aes128_ecb_valid (AES128Message key _ msg) = let (Right k) = AES.initKey128 key in prop_ecb_valid k msg prop_aes192_ecb_valid (AES192Message key _ msg) = let (Right k) = AES.initKey192 key in prop_ecb_valid k msg prop_aes256_ecb_valid (AES256Message key _ msg) = let (Right k) = AES.initKey256 key in prop_ecb_valid k msg prop_aes128_cbc_valid (AES128Message key iv msg) = let (Right k) = AES.initKey128 key in prop_cbc_valid k iv msg prop_aes192_cbc_valid (AES192Message key iv msg) = let (Right k) = AES.initKey192 key in prop_cbc_valid k iv msg prop_aes256_cbc_valid (AES256Message key iv msg) = let (Right k) = AES.initKey256 key in prop_cbc_valid k iv msg {-----------------------------------------------------------------------------------------------} {- main -} {-----------------------------------------------------------------------------------------------} args = stdArgs { replay = Nothing , maxSuccess = 200 , maxDiscard = 1000 , maxSize = 200 } run_test n t = putStr (" " ++ n ++ " ... ") >> hFlush stdout >> quickCheckWith args t main = do Unit.runTestTT (Unit.TestList utests) -- Number Tests run_test "gcde binary valid" prop_gcde_binary_valid run_test "exponantiation RTL valid" prop_modexp_rtl_valid run_test "inverse valid" prop_modinv_valid run_test "sqrt integer valid" prop_sqrti_valid run_test "primality test Miller Rabin" prop_miller_rabin_valid run_test "Generate prime" prop_generate_prime_valid -- AES Tests run_test "AES128 (ECB) decrypt.encrypt = id" prop_aes128_ecb_valid run_test "AES128 (CBC) decrypt.encrypt = id" prop_aes128_cbc_valid run_test "AES192 (ECB) decrypt.encrypt = id" prop_aes192_ecb_valid run_test "AES192 (CBC) decrypt.encrypt = id" prop_aes192_cbc_valid run_test "AES256 (ECB) decrypt.encrypt = id" prop_aes256_ecb_valid run_test "AES256 (CBC) decrypt.encrypt = id" prop_aes256_cbc_valid -- DH Tests run_test "DH test" prop_dh_valid -- RSA Tests run_test "RSA generate" prop_rsa_generate_valid run_test "RSA verify . sign(slow) = true" prop_rsa_sign_slow_valid run_test "RSA verify . sign(fast) = true" prop_rsa_sign_fast_valid run_test "RSA decrypt(slow).encrypt = id" prop_rsa_slow_valid run_test "RSA decrypt(fast).encrypt = id" prop_rsa_fast_valid -- DSA Tests run_test "DSA verify . sign = true" prop_dsa_valid