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 (7264B)


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