Blog: Mr. Mathiesen

Haskell - Safe SHA1 only depending on Prelude

August 10, 2018.
SHA1 on Damn Small Linux (DSL) 4.11 RC1 ISO file (51MB)

Code Snippet

Data/SHS/SHA/SHA1.hs

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{-# LANGUAGE Safe #-}

--------------------------------------------------------------------------------

module Data.SHS.SHA.SHA1
  ( sha1bytes
  ) where

--------------------------------------------------------------------------------

import           Data.Bits
    ( Bits
    , bitSizeMaybe
    , complement
    , shiftL
    , shiftR
    , xor
    , (.&.)
    , (.|.)
    )
import           Data.Maybe
    ( fromMaybe
    )
import           Data.Word
    ( Word32
    , Word8
    )

--------------------------------------------------------------------------------

type ByteString = [ Word8 ]

--------------------------------------------------------------------------------

sha1bytes
  :: ByteString
  -> ByteString

--------------------------------------------------------------------------------

sha1bytes =
  compute

--------------------------------------------------------------------------------

(.-.) :: Bits a => a -> a
(.<.) :: Bits a => a -> Int -> a
(.>.) :: Bits a => a -> Int -> a
(.+.) :: Bits a => a -> a   -> a

rotl
  :: (Bits a)
  => Int
  -> a
  -> a

{- Outcommented cos of -Wall -Werror flags

rotr
  :: (Bits a)
  => Int
  -> a
  -> a

shr
  :: (Bits a)
  => Int
  -> a
  -> a

-}

choice
  :: (Bits a)
  => a
  -> a
  -> a
  -> a

parity
  :: (Bits a)
  => a
  -> a
  -> a
  -> a

majority
  :: (Bits a)
  => a
  -> a
  -> a
  -> a

f
  :: (Bits a)
  => Int
  -> a
  -> a
  -> a
  -> a

k
  :: Int
  -> Word32

pad
  :: Integer
  -> ByteString

parse
  :: ByteString
  -> [ ByteString ]

h
  :: [ Word32 ]

compute
  :: ByteString
  -> ByteString

--------------------------------------------------------------------------------

{-

* [§1] Figure 1: Secure Hash Algorithm Properties

+-------------+--------------+------------+-----------+---------------------+
| Algorithm   | Message Size | Block Size | Word Size | Message Digest Size |
|             |    (bits)    |   (bits)   |   (bits)  |       (bits)        |
+-------------+--------------+------------+-----------+---------------------+
| SHA-1       | < 2^064      | 0512       | 32        | 160                 |
| SHA-224     | < 2^064      | 0512       | 32        | 224                 |
| SHA-256     | < 2^064      | 0512       | 32        | 256                 |
| SHA-384     | < 2^128      | 1024       | 64        | 384                 |
| SHA-512     | < 2^128      | 1024       | 64        | 512                 |
| SHA-512/224 | < 2^128      | 1024       | 64        | 224                 |
| SHA-512/256 | < 2^128      | 1024       | 64        | 256                 |
+-------------+--------------+------------+-----------+---------------------+

-}

--------------------------------------------------------------------------------

-- [§2.2.2] Symbols and Operations

(.-.) x   = complement x
(.<.) x y = x `shiftL` y
(.>.) x y = x `shiftR` y
(.+.) x y = x `xor`    y

rotl n x =
  (x .<. n) .|. (x .>. (w - n))
  where
    w = fromMaybe n $ bitSizeMaybe x

{- Outcommented cos of -Wall -Werror flags

rotr n x =
  (x .>. n) .|. (x .<. (w - n))
  where
    w = fromMaybe n $ bitSizeMaybe x

shr n x =
  x .>. n

-}

--------------------------------------------------------------------------------

-- [§4.1] Functions

choice x y z =
  (x .&. y) .+. ((.-.) x .&. z)

parity x y z =
  x .+. y .+. z

-- [§4.1.1] SHA-1 Functions

majority x y z =
  (x .&. y) .+. (x .&. z) .+. (y .&. z)

f t x y z
  | t < 20    = choice   x y z
  | t < 40    = parity   x y z
  | t < 60    = majority x y z
  | t < 80    = parity   x y z
  | otherwise = error $ "Shouldn't be possible (f): " ++ show t

--------------------------------------------------------------------------------

-- [§4.2] Constants

k t
  -- constants [§4.2.1]
  | t < 20    = 0x5A827999
  | t < 40    = 0x6ED9EBA1
  | t < 60    = 0x8F1BBCDC
  | t < 80    = 0xCA62C1D6
  | otherwise = error $ "Shouldn't be possible (k): " ++ show t

--------------------------------------------------------------------------------

-- [§5.1] Padding the Message

-- [§5.1.1] SHA-1, SHA-224 and SHA-256

pad l =
  -- length m + 1 bit + k zeros ≡ 448 mod 512
  --
  -- m = [ 'a', 'b', 'c' ]
  -- l = 3 x 8 (bits) = 24
  --
  -- 448 - (24 + 1) = 423
  --                                423        64
  --                              ------- -----------
  -- 01100001 01100010 01100011 1 00...00 00...011000
  -- -------- -------- --------                ------
  --   'a'      'b'      'c'                     24
  --
  -- (8 * 3) + 1 + 423 + 64 = 512
  --
  -- Note: 1 bit is represented as 128 (dec) which is 1000 0000 (bin)
  128 : aux (((448 - (len + 1)) .&. 511) .>. 3)
  where
    len   = l * 8
    aux 0 =
      -- length as 64 bytes (8 * Word8 of 8 bytes each)
      (fromIntegral $ len        .>. 56) :
      (fromIntegral $ len .<. 08 .>. 56) :
      (fromIntegral $ len .<. 16 .>. 56) :
      (fromIntegral $ len .<. 24 .>. 56) :
      (fromIntegral $ len .<. 32 .>. 56) :
      (fromIntegral $ len .<. 40 .>. 56) :
      (fromIntegral $ len .<. 48 .>. 56) :
      (fromIntegral $ len .<. 56 .>. 56) :
      []
    aux i = 000 : aux (i - 1)

--------------------------------------------------------------------------------

-- [§5.2] Parsing the Message

-- [§5.2.1] SHA-1, SHA-224 and SHA-256

parse =
  -- 512 bits = 64 bytes
  chunksOf 64

--------------------------------------------------------------------------------

-- [§5.3] Setting the Initial Hash Value (H(0))

-- [§5.3.1] SHA-1

h =
  [ 0x67452301
  , 0xEFCDAB89
  , 0x98BADCFE
  , 0x10325476
  , 0xC3D2E1F0
  ]

--------------------------------------------------------------------------------

-- [§6] SECURE HASH ALGORITHMS

-- [§6.1] SHA-1

-- [§6.1.2] SHA-1 Hash Computation

compute =
  aux 0 False h . parse
  where
    aux _ True  hv [    ] =
      tail $ toHex $
      000000000000000001 .<. 161  .|. -- toHex doesn't pad 0s
      ((fromIntegral h0) .<. 128) .|.
      ((fromIntegral h1) .<. 096) .|.
      ((fromIntegral h2) .<. 064) .|.
      ((fromIntegral h3) .<. 032) .|.
      ((fromIntegral h4)        )
      where
        (h0:h1:h2:h3:h4:_) = hv
    aux l False hv [    ] =
      aux l True hv $ parse $ pad 0
    aux l False hv (x:[]) =
      aux len True hv $ parse $ x ++ pad len
      where
        len = l + (fromIntegral $ length x)
    aux l ipd hv (x:xs) =
      len `seq` hv' `seq` aux len ipd hv' xs
      where
        len = l + 64
        sch = schedule x
        hv' = sch `seq` rounds hv sch

-- 1. Prepare the message schedule, {W t}:
schedule :: ByteString -> Schedule
schedule =
  msg 16 . sch . chunksOf 4
  where
    sch =
      aux 0 empty
      where
        aux _ acc [    ] = acc
        aux t acc (x:xs) = aux (t + 1) (ins (w32 x) t acc) xs
    w32 =
      aux 24 0
      where
        aux _ acc [    ] = acc
        aux i acc (b:bs) = aux (i - 8) (x .<. i .|. acc) bs
          where
            x = fromIntegral b
    msg =
      aux
      where
        aux t acc
          | 80 > t    =
            aux (t + 1) $
            ins
            (
              rotl 1 $
              idx (t - 03) acc .+.
              idx (t - 08) acc .+.
              idx (t - 14) acc .+.
              idx (t - 16) acc
            ) t acc
          | otherwise = acc

-- 3. For t=0 to 79:
rounds :: [ Word32 ] -> Schedule -> [ Word32 ]
rounds hv@(h0:h1:h2:h3:h4:_) ws =
  aux 0 hv
  where
    aux t (a:b:c:d:e:_)
      | 80 > t    =
        let
          t' = rotl 05 a + f t b c d + e + (k t) + (idx t ws)
          e' = d
          d' = c
          c' = rotl 30 b
          b' = a
          a' = t'
        in
          aux (t + 1)
          $ a' `seq` b' `seq` c' `seq` d' `seq` e' `seq`
          [ a',      b',      c',      d',      e'     ]
      | otherwise =
        let
          h0' = h0 + a
          h1' = h1 + b
          h2' = h2 + c
          h3' = h3 + d
          h4' = h4 + e
        in
            h0' `seq` h1' `seq` h2' `seq` h3' `seq` h4' `seq`
          [ h0',      h1',      h2',      h3',      h4'     ]
    aux _ _____________ =
      error $ "Shouldn't be possible (rounds -> aux)"
rounds _____________________ __ =
  error $ "Shouldn't be possible (rounds)"

--------------------------------------------------------------------------------

-- HELPERS

chunksOf :: Int -> ByteString -> [ ByteString ]
chunksOf _ [] = [               ]
chunksOf n bs = x : chunksOf n xs
  where
    (x,xs) = splitAt n bs

toBase :: Int -> (Integer -> Integer) -> Integer -> ByteString
toBase base fn =
  aux []
  where
    aux acc 0 = acc
    aux acc n =
      aux (r : acc) c
      where
        c = n .>. base
        r = toEnum . fromIntegral $ fn (n - c * 1 .<. base)
toHex' :: Bool -> Integer -> ByteString
toHex' cap =
  toBase 4 {- 2^4 = 016 -} aux
  where
    aux x
      | x < 0x0A  = 48 + x
      | x < 0x10  = cc + x
      | otherwise = error "Shouldn't be possible to reach (toHex')"
    cc = if cap then 55 else 87
toHex :: Integer -> ByteString
toHex =
  toHex' False

-- F U N C T I O N A L  P E A R L S
-- Red-Black Trees in a Functional Setting
--
-- CHRIS OKASAKI
-- School of Computer Science, Carnegie Mellon University
-- 5000 Forbes Avenue, Pittsburgh, Pennsylvania, USA 15213
-- (e-mail: [email protected])

-- Red-Black Trees
data Color  = R | B
data Tree a = E | T Color (Tree a) a (Tree a)

-- Simple Set Operations
type Set a = Tree a

empty :: Set a
empty = E

{- Outcommented cos of -Wall -Werror flags

member :: Ord a => a -> Set a -> Bool
member x  E = False
member x (T _ a y b)
  | x <  y = member x a
  | x == y = True
  | x >  y = member x b

-}

-- Insertions
insert :: Ord a => a -> Set a -> Set a
insert e s =
  blk $ aux s
  where
    blk (T _ a y b) = T B a y b
    blk ___________ = error $ "Shouldn't be possible (insert -> blk)"
    aux  E = T R E e E
    aux (T c a y b)
      | e <  y = bal c (aux a) y      b
      | e == y = T   c      a  y      b
      | e >  y = bal c      a  y (aux b)
    aux ___________ = error $ "Shouldn't be possible (insert -> aux)"
    bal B (T R (T R a x b) y c) z d = T R (T B a x b) y (T B c z d)
    bal B (T R a x (T R b y c)) z d = T R (T B a x b) y (T B c z d)
    bal B a x (T R (T R b y c) z d) = T R (T B a x b) y (T B c z d)
    bal B a x (T R b y (T R c z d)) = T R (T B a x b) y (T B c z d)
    bal c a x b                     = T c a x b

type Schedule = Set (Int, Word32)

-- O(log n) insertions
ins :: Word32 -> Int -> Schedule -> Schedule
ins x i s =
  insert (i,x) s

-- O(log n) lookups
idx :: Int -> Schedule -> Word32
idx i =
  aux
  where
    aux (T _ a y b)
      | i <  fst y = aux a
      | i == fst y = snd y
      | i >  fst y = aux b
    aux ___________ = error $ "Shouldn't be possible (idx -> aux)"

instance Show Color where
  show R = "Red"
  show B = "Black"

instance Show a => Show (Tree a) where
  show = aux 0
    where
      aux l  E            =
        replicate l ' ' ++ "nil"
      aux l (T c lt x rt) =
        replicate l ' ' ++ show c ++ ": " ++ show x ++ "\n" ++
        replicate n ' ' ++ aux  n lt                ++ "\n" ++
        replicate n ' ' ++ aux  n rt
        where
          n = l + 1

Main.hs

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#!/usr/bin/env stack
{- stack
   --resolver lts-12.0
   --install-ghc
   script
   --package bytestring
   --ghc-options -Werror
   --ghc-options -Wall
   --
-}

--------------------------------------------------------------------------------

{-# LANGUAGE OverloadedStrings #-}

--------------------------------------------------------------------------------

module Main where

import qualified Data.ByteString.Lazy as LBS
import qualified Data.SHS.SHA.SHA1    as SHA

--------------------------------------------------------------------------------

main
  :: IO ()

--------------------------------------------------------------------------------

main =
  LBS.interact $ LBS.pack . SHA.sha1bytes . LBS.unpack

build.bash

#!/bin/bash

clear

./clear.bash

# sha1
ghc -Wall -Werror -O2 --make Main.hs -o sha1

# clean
find . -name '*.hi' -delete
find . -name '*.o'  -delete

run.bash

#!/bin/bash

echo "# safe sha1:"
echo -n "abc" |
    ./sha1 && echo
echo -n "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq" |
    ./sha1 && echo
cat ~/downloads/dsl-4.11.rc1.iso | 
    ./sha1 && echo
cat   sha1 | 
    ./sha1 && echo
echo

echo "# /usr/bin/sha1sum:"
echo -n "abc" |
    sha1sum
echo -n "abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq" |
    sha1sum
cat ~/downloads/dsl-4.11.rc1.iso | 
    sha1sum
cat sha1 | 
    sha1sum

Code Output:

# safe sha1:
a9993e364706816aba3e25717850c26c9cd0d89d
84983e441c3bd26ebaae4aa1f95129e5e54670f1
642014ca6d659ec50c063a3d74f597357bb0fc93
4da682a047fa2cc36c240a8fed3d3bbea216975a

# /usr/bin/sha1sum:
a9993e364706816aba3e25717850c26c9cd0d89d  -
84983e441c3bd26ebaae4aa1f95129e5e54670f1  -
642014ca6d659ec50c063a3d74f597357bb0fc93  -
4da682a047fa2cc36c240a8fed3d3bbea216975a  -

Test Snippet

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#!/usr/bin/env stack
{- stack
   --resolver lts-12.0
   --install-ghc
   script
   --package bytestring
   --package hspec
   --ghc-options -Werror
   --ghc-options -Wall
   --ghc-options -threaded
   --
-}

--------------------------------------------------------------------------------

{-# LANGUAGE OverloadedStrings #-}

--------------------------------------------------------------------------------

module Spec (main) where

--------------------------------------------------------------------------------

import           Prelude                    hiding
    ( sum
    )

import           Data.Bits
    ( Bits
    , shiftL
    , shiftR
    )
import qualified Data.ByteString.Lazy       as LBS
import qualified Data.ByteString.Lazy.Char8 as C8
import           Data.Word
    ( Word8
    )
import           Test.Hspec

import qualified Data.SHS.SHA.SHA1          as SHA
    ( sha1bytes
    )

--------------------------------------------------------------------------------

data TestCase =
  TestCase
  { len :: Integer
  , msg :: LBS.ByteString
  , sum :: LBS.ByteString
  }
  deriving Show
newtype TestCases =
  TestCases { testCases :: [ TestCase ] }
  deriving Show

--------------------------------------------------------------------------------

instance Read TestCases where
  readsPrec _ input =
    (flip $ (,)) [] <$> [ TestCases $ aux $ drop 7 $ lines input ]
    where
      aux :: [ String ] -> [ TestCase ]
      aux (l1:l2:l3:_:xs) =
        TestCase
        (read    $ val $ words $ l1)
        (tbs     $ val $ words $ l2)
        (C8.pack $ val $ words $ l3)
        : aux xs
        where
          tbs = toByte . hex
          hex = read . ("0x" ++)
          val (_:_:v:[]) = v
          val __________ = error "Invalid format (Read TestCases > aux > val)."
      aux _ = []

--------------------------------------------------------------------------------

cases
  :: String
  -> String
  -> IO [ SpecWith () ]
cases path info  =
  do
    readFile path >>= pure
      . map
      (
        \ tc ->
          it (info ++ (show $ len tc)) $
          (SHA.sha1bytes . LBS.unpack $ msg tc)
          `shouldBe`
          (LBS.unpack $ sum tc)
      )
      . testCases
      . read

main
  :: IO ()

--------------------------------------------------------------------------------

main =
  cases spath sinfo >>= \scs ->
  cases lpath linfo >>= \lcs ->
  hspec $
  do
    describe ("### Cryptographic Algorithm Validation Program:\n" ++
      "  FIPS 180-4: SHA Test Vectors for Hashing Byte-Oriented Messages") $
      do
        mapM_ id scs
        mapM_ id lcs
  where
    path  = "../val/SHS/shabytetestvectors/"
    info  = " bit length: "
    spath = path ++ "SHA1ShortMsg.rsp"
    sinfo = "SHA-1 ShortMsg" ++ info
    lpath = path ++ "SHA1LongMsg.rsp"
    linfo = "SHA-1 LongMsg " ++ info

--------------------------------------------------------------------------------

-- HELPERS

(.<.)
  :: Bits a
  => a
  -> Int
  -> a
(.>.)
  :: Bits a
  => a
  -> Int
  -> a

cons
  :: Word8
  -> LBS.ByteString
  -> LBS.ByteString

toBase
  :: Int
  -> (Integer -> Integer)
  -> Integer
  -> LBS.ByteString

(.<.) x y = x `shiftL` y
(.>.) x y = x `shiftR` y

-- O(1) cons is analogous to '(:)' for lists.
cons = LBS.cons

toBase base f =
  aux ""
  where
    aux acc 0 = acc
    aux acc n =
      aux (cons r acc) c
      where
        c = n .>. base
        r = toEnum . fromIntegral $ f (n - c * 1 .<. base)

toByte :: Integer -> LBS.ByteString
toByte =
  toBase 8 {- 2^8 = 256 -} id

user@personal:~/.../sha1 ./Spec.hs
### Cryptographic Algorithm Validation Program:
  FIPS 180-4: SHA Test Vectors for Hashing Byte-Oriented Messages
  SHA-1 ShortMsg bit length: 0
  SHA-1 ShortMsg bit length: 8
  SHA-1 ShortMsg bit length: 16
  SHA-1 ShortMsg bit length: 24
  SHA-1 ShortMsg bit length: 32
  SHA-1 ShortMsg bit length: 40
  SHA-1 ShortMsg bit length: 48
  SHA-1 ShortMsg bit length: 56
  SHA-1 ShortMsg bit length: 64
  SHA-1 ShortMsg bit length: 72
  SHA-1 ShortMsg bit length: 80
  SHA-1 ShortMsg bit length: 88
  SHA-1 ShortMsg bit length: 96
  SHA-1 ShortMsg bit length: 104
  SHA-1 ShortMsg bit length: 112
  SHA-1 ShortMsg bit length: 120
  SHA-1 ShortMsg bit length: 128
  SHA-1 ShortMsg bit length: 136
  SHA-1 ShortMsg bit length: 144
  SHA-1 ShortMsg bit length: 152
  SHA-1 ShortMsg bit length: 160
  SHA-1 ShortMsg bit length: 168
  SHA-1 ShortMsg bit length: 176
  SHA-1 ShortMsg bit length: 184
  SHA-1 ShortMsg bit length: 192
  SHA-1 ShortMsg bit length: 200
  SHA-1 ShortMsg bit length: 208
  SHA-1 ShortMsg bit length: 216
  SHA-1 ShortMsg bit length: 224
  SHA-1 ShortMsg bit length: 232
  SHA-1 ShortMsg bit length: 240
  SHA-1 ShortMsg bit length: 248
  SHA-1 ShortMsg bit length: 256
  SHA-1 ShortMsg bit length: 264
  SHA-1 ShortMsg bit length: 272
  SHA-1 ShortMsg bit length: 280
  SHA-1 ShortMsg bit length: 288
  SHA-1 ShortMsg bit length: 296
  SHA-1 ShortMsg bit length: 304
  SHA-1 ShortMsg bit length: 312
  SHA-1 ShortMsg bit length: 320
  SHA-1 ShortMsg bit length: 328
  SHA-1 ShortMsg bit length: 336
  SHA-1 ShortMsg bit length: 344
  SHA-1 ShortMsg bit length: 352
  SHA-1 ShortMsg bit length: 360
  SHA-1 ShortMsg bit length: 368
  SHA-1 ShortMsg bit length: 376
  SHA-1 ShortMsg bit length: 384
  SHA-1 ShortMsg bit length: 392
  SHA-1 ShortMsg bit length: 400
  SHA-1 ShortMsg bit length: 408
  SHA-1 ShortMsg bit length: 416
  SHA-1 ShortMsg bit length: 424
  SHA-1 ShortMsg bit length: 432
  SHA-1 ShortMsg bit length: 440
  SHA-1 ShortMsg bit length: 448
  SHA-1 ShortMsg bit length: 456
  SHA-1 ShortMsg bit length: 464
  SHA-1 ShortMsg bit length: 472
  SHA-1 ShortMsg bit length: 480
  SHA-1 ShortMsg bit length: 488
  SHA-1 ShortMsg bit length: 496
  SHA-1 ShortMsg bit length: 504
  SHA-1 ShortMsg bit length: 512
  SHA-1 LongMsg  bit length: 1304
  SHA-1 LongMsg  bit length: 2096
  SHA-1 LongMsg  bit length: 2888
  SHA-1 LongMsg  bit length: 3680
  SHA-1 LongMsg  bit length: 4472
  SHA-1 LongMsg  bit length: 5264
  SHA-1 LongMsg  bit length: 6056
  SHA-1 LongMsg  bit length: 6848
  SHA-1 LongMsg  bit length: 7640
  SHA-1 LongMsg  bit length: 8432
  SHA-1 LongMsg  bit length: 9224
  SHA-1 LongMsg  bit length: 10016
  SHA-1 LongMsg  bit length: 10808
  SHA-1 LongMsg  bit length: 11600
  SHA-1 LongMsg  bit length: 12392
  SHA-1 LongMsg  bit length: 13184
  SHA-1 LongMsg  bit length: 13976
  SHA-1 LongMsg  bit length: 14768
  SHA-1 LongMsg  bit length: 15560
  SHA-1 LongMsg  bit length: 16352
  SHA-1 LongMsg  bit length: 17144
  SHA-1 LongMsg  bit length: 17936
  SHA-1 LongMsg  bit length: 18728
  SHA-1 LongMsg  bit length: 19520
  SHA-1 LongMsg  bit length: 20312
  SHA-1 LongMsg  bit length: 21104
  SHA-1 LongMsg  bit length: 21896
  SHA-1 LongMsg  bit length: 22688
  SHA-1 LongMsg  bit length: 23480
  SHA-1 LongMsg  bit length: 24272
  SHA-1 LongMsg  bit length: 25064
  SHA-1 LongMsg  bit length: 25856
  SHA-1 LongMsg  bit length: 26648
  SHA-1 LongMsg  bit length: 27440
  SHA-1 LongMsg  bit length: 28232
  SHA-1 LongMsg  bit length: 29024
  SHA-1 LongMsg  bit length: 29816
  SHA-1 LongMsg  bit length: 30608
  SHA-1 LongMsg  bit length: 31400
  SHA-1 LongMsg  bit length: 32192
  SHA-1 LongMsg  bit length: 32984
  SHA-1 LongMsg  bit length: 33776
  SHA-1 LongMsg  bit length: 34568
  SHA-1 LongMsg  bit length: 35360
  SHA-1 LongMsg  bit length: 36152
  SHA-1 LongMsg  bit length: 36944
  SHA-1 LongMsg  bit length: 37736
  SHA-1 LongMsg  bit length: 38528
  SHA-1 LongMsg  bit length: 39320
  SHA-1 LongMsg  bit length: 40112
  SHA-1 LongMsg  bit length: 40904
  SHA-1 LongMsg  bit length: 41696
  SHA-1 LongMsg  bit length: 42488
  SHA-1 LongMsg  bit length: 43280
  SHA-1 LongMsg  bit length: 44072
  SHA-1 LongMsg  bit length: 44864
  SHA-1 LongMsg  bit length: 45656
  SHA-1 LongMsg  bit length: 46448
  SHA-1 LongMsg  bit length: 47240
  SHA-1 LongMsg  bit length: 48032
  SHA-1 LongMsg  bit length: 48824
  SHA-1 LongMsg  bit length: 49616
  SHA-1 LongMsg  bit length: 50408
  SHA-1 LongMsg  bit length: 51200

Finished in 9.9064 seconds
129 examples, 0 failures

References: