secp256k1

Pure Haskell Schnorr, ECDSA on the elliptic curve secp256k1 (docs.ppad.tech/secp256k1).
git clone git://git.ppad.tech/secp256k1.git
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Main.hs (7382B)


      1 {-# OPTIONS_GHC -fno-warn-incomplete-uni-patterns #-}
      2 {-# LANGUAGE BangPatterns #-}
      3 {-# LANGUAGE OverloadedStrings #-}
      4 
      5 module Main where
      6 
      7 import qualified Data.ByteString as BS
      8 import qualified Data.ByteString.Base16 as B16
      9 import Control.DeepSeq
     10 import Criterion.Main
     11 import qualified Crypto.Curve.Secp256k1 as S
     12 
     13 instance NFData S.Projective
     14 instance NFData S.Affine
     15 instance NFData S.ECDSA
     16 instance NFData S.Context
     17 
     18 main :: IO ()
     19 main = defaultMain [
     20     parse_point
     21   , add
     22   , mul
     23   , precompute
     24   , mul_wnaf
     25   , derive_pub
     26   , schnorr
     27   , ecdsa
     28   , ecdh
     29   ]
     30 
     31 parse_int256 :: BS.ByteString -> Integer
     32 parse_int256 bs = case S.parse_int256 bs of
     33   Nothing -> error "bang"
     34   Just v -> v
     35 
     36 remQ :: Benchmark
     37 remQ = env setup $ \x ->
     38     bgroup "remQ (remainder modulo _CURVE_Q)" [
     39       bench "remQ 2 " $ nf S.remQ 2
     40     , bench "remQ (2 ^ 255 - 19)" $ nf S.remQ x
     41     ]
     42   where
     43     setup = pure . parse_int256 $ B16.decodeLenient
     44       "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
     45 
     46 parse_point :: Benchmark
     47 parse_point = bgroup "parse_point" [
     48     bench "compressed" $ nf S.parse_point p_bs
     49   , bench "uncompressed" $ nf S.parse_point t_bs
     50   , bench "bip0340" $ nf S.parse_point (BS.drop 1 p_bs)
     51   ]
     52 
     53 parse_integer :: Benchmark
     54 parse_integer = env setup $ \ ~(small, big) ->
     55     bgroup "parse_int256" [
     56       bench "parse_int256 (small)" $ nf parse_int256 small
     57     , bench "parse_int256 (big)" $ nf parse_int256 big
     58     ]
     59   where
     60     setup = do
     61       let small = BS.replicate 32 0x00
     62           big   = BS.replicate 32 0xFF
     63       pure (small, big)
     64 
     65 add :: Benchmark
     66 add = bgroup "add" [
     67     bench "2 p (double, trivial projective point)" $ nf (S.add p) p
     68   , bench "2 r (double, nontrivial projective point)" $ nf (S.add r) r
     69   , bench "p + q (trivial projective points)" $ nf (S.add p) q
     70   , bench "p + s (nontrivial mixed points)" $ nf (S.add p) s
     71   , bench "s + r (nontrivial projective points)" $ nf (S.add s) r
     72   ]
     73 
     74 mul :: Benchmark
     75 mul = env setup $ \x ->
     76     bgroup "mul" [
     77       bench "2 G" $ nf (S.mul S._CURVE_G) 2
     78     , bench "(2 ^ 255 - 19) G" $ nf (S.mul S._CURVE_G) x
     79     ]
     80   where
     81     setup = pure . parse_int256 $ B16.decodeLenient
     82       "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
     83 
     84 precompute :: Benchmark
     85 precompute = bench "precompute" $ nfIO (pure S.precompute)
     86 
     87 mul_wnaf :: Benchmark
     88 mul_wnaf = env setup $ \ ~(tex, x) ->
     89     bgroup "mul_wnaf" [
     90       bench "2 G" $ nf (S.mul_wnaf tex) 2
     91     , bench "(2 ^ 255 - 19) G" $ nf (S.mul_wnaf tex) x
     92     ]
     93   where
     94     setup = do
     95       let !tex = S.precompute
     96           !int = parse_int256 $ B16.decodeLenient
     97             "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
     98       pure (tex, int)
     99 
    100 derive_pub :: Benchmark
    101 derive_pub = env setup $ \ ~(tex, x) ->
    102     bgroup "derive_pub" [
    103       bench "sk = 2" $ nf S.derive_pub 2
    104     , bench "sk = 2 ^ 255 - 19" $ nf S.derive_pub x
    105     , bench "wnaf, sk = 2" $ nf (S.derive_pub' tex) 2
    106     , bench "wnaf, sk = 2 ^ 255 - 19" $ nf (S.derive_pub' tex) x
    107     ]
    108   where
    109     setup = do
    110       let !tex = S.precompute
    111           !int = parse_int256 $ B16.decodeLenient
    112             "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
    113       pure (tex, int)
    114 
    115 schnorr :: Benchmark
    116 schnorr = env setup $ \ ~(tex, big) ->
    117     bgroup "schnorr" [
    118       bench "sign_schnorr (small)" $ nf (S.sign_schnorr 2 s_msg) s_aux
    119     , bench "sign_schnorr (large)" $ nf (S.sign_schnorr big s_msg) s_aux
    120     , bench "sign_schnorr' (small)" $ nf (S.sign_schnorr' tex 2 s_msg) s_aux
    121     , bench "sign_schnorr' (large)" $ nf (S.sign_schnorr' tex big s_msg) s_aux
    122     , bench "verify_schnorr" $ nf (S.verify_schnorr s_msg s_pk) s_sig
    123     , bench "verify_schnorr'" $ nf (S.verify_schnorr' tex s_msg s_pk) s_sig
    124     ]
    125   where
    126     setup = do
    127       let !tex = S.precompute
    128           !int = parse_int256 $ B16.decodeLenient
    129             "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
    130       pure (tex, int)
    131 
    132 ecdsa :: Benchmark
    133 ecdsa = env setup $ \ ~(tex, big, pub, msg, sig) ->
    134     bgroup "ecdsa" [
    135       bench "sign_ecdsa (small)" $ nf (S.sign_ecdsa 2) s_msg
    136     , bench "sign_ecdsa (large)" $ nf (S.sign_ecdsa big) s_msg
    137     , bench "sign_ecdsa' (small)" $ nf (S.sign_ecdsa' tex 2) s_msg
    138     , bench "sign_ecdsa' (large)" $ nf (S.sign_ecdsa' tex big) s_msg
    139     , bench "verify_ecdsa" $ nf (S.verify_ecdsa msg pub) sig
    140     , bench "verify_ecdsa'" $ nf (S.verify_ecdsa' tex msg pub) sig
    141     ]
    142   where
    143     setup = do
    144       let !tex = S.precompute
    145           big = parse_int256 $ B16.decodeLenient
    146             "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed"
    147           Just pub = S.derive_pub big
    148           msg = "i approve of this message"
    149           Just sig = S.sign_ecdsa big s_msg
    150       pure (tex, big, pub, msg, sig)
    151 
    152 ecdh :: Benchmark
    153 ecdh = env setup $ \ ~(big, pub) ->
    154     bgroup "ecdh" [
    155       bench "ecdh (small)" $ nf (S.ecdh pub) 2
    156     , bench "ecdh (large)" $ nf (S.ecdh pub) big
    157     ]
    158   where
    159     setup = do
    160       let !big =
    161             0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed
    162           !(Just !pub) = S.parse_point . B16.decodeLenient $
    163             "bd02b9dfc8ef760708950bd972f2dc244893b61b6b46c3b19be1b2da7b034ac5"
    164       pure (big, pub)
    165 
    166 p_bs :: BS.ByteString
    167 p_bs = B16.decodeLenient
    168   "0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798"
    169 
    170 p :: S.Projective
    171 p = case S.parse_point p_bs of
    172   Nothing -> error "bang"
    173   Just !pt -> pt
    174 
    175 q_bs :: BS.ByteString
    176 q_bs = B16.decodeLenient
    177   "02f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9"
    178 
    179 q :: S.Projective
    180 q = case S.parse_point q_bs of
    181   Nothing -> error "bang"
    182   Just !pt -> pt
    183 
    184 r_bs :: BS.ByteString
    185 r_bs = B16.decodeLenient
    186   "03a2113cf152585d96791a42cdd78782757fbfb5c6b2c11b59857eb4f7fda0b0e8"
    187 
    188 r :: S.Projective
    189 r = case S.parse_point r_bs of
    190   Nothing -> error "bang"
    191   Just !pt -> pt
    192 
    193 s_bs :: BS.ByteString
    194 s_bs = B16.decodeLenient
    195   "0306413898a49c93cccf3db6e9078c1b6a8e62568e4a4770e0d7d96792d1c580ad"
    196 
    197 s :: S.Projective
    198 s = case S.parse_point s_bs of
    199   Nothing -> error "bang"
    200   Just !pt -> pt
    201 
    202 t_bs :: BS.ByteString
    203 t_bs = B16.decodeLenient "04b838ff44e5bc177bf21189d0766082fc9d843226887fc9760371100b7ee20a6ff0c9d75bfba7b31a6bca1974496eeb56de357071955d83c4b1badaa0b21832e9"
    204 
    205 t :: S.Projective
    206 t = case S.parse_point t_bs of
    207   Nothing -> error "bang"
    208   Just !pt -> pt
    209 
    210 s_sk :: Integer
    211 s_sk = parse_int256 . B16.decodeLenient $
    212   "B7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF"
    213 
    214 s_sig :: BS.ByteString
    215 s_sig = B16.decodeLenient "6896BD60EEAE296DB48A229FF71DFE071BDE413E6D43F917DC8DCF8C78DE33418906D11AC976ABCCB20B091292BFF4EA897EFCB639EA871CFA95F6DE339E4B0A"
    216 
    217 s_pk_raw :: BS.ByteString
    218 s_pk_raw = B16.decodeLenient
    219   "DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659"
    220 
    221 s_pk :: S.Projective
    222 s_pk = case S.parse_point s_pk_raw of
    223   Nothing -> error "bang"
    224   Just !pt -> pt
    225 
    226 s_msg :: BS.ByteString
    227 s_msg = B16.decodeLenient
    228   "243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89"
    229 
    230 s_aux :: BS.ByteString
    231 s_aux = B16.decodeLenient
    232   "0000000000000000000000000000000000000000000000000000000000000001"
    233 
    234 -- e_msg = B16.decodeLenient "313233343030"
    235 -- e_sig = B16.decodeLenient "3045022100813ef79ccefa9a56f7ba805f0e478584fe5f0dd5f567bc09b5123ccbc983236502206ff18a52dcc0336f7af62400a6dd9b810732baf1ff758000d6f613a556eb31ba"
    236