module Data.Curve.Weierstrass.BLS12381T
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.BLS12381T
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
import Data.Curve.Weierstrass.BLS12381 (BLS12381, Fq, Fr)
type Fq2 = Extension U Fq
data U
instance IrreducibleMonic U Fq where
poly _ = [1, 0, 1]
{-# INLINABLE poly #-}
instance Curve 'Weierstrass c BLS12381 Fq2 Fr => WCurve c BLS12381 Fq2 Fr where
a_ = const _a
{-# INLINABLE a_ #-}
b_ = const _b
{-# INLINABLE b_ #-}
h_ = const _h
{-# INLINABLE h_ #-}
q_ = const _q
{-# INLINABLE q_ #-}
r_ = const _r
{-# INLINABLE r_ #-}
type PA = WAPoint BLS12381 Fq2 Fr
instance WACurve BLS12381 Fq2 Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint BLS12381 Fq2 Fr
instance WJCurve BLS12381 Fq2 Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint BLS12381 Fq2 Fr
instance WPCurve BLS12381 Fq2 Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq2
_a = toE' [
]
{-# INLINABLE _a #-}
_b :: Fq2
_b = toE' [ 0x4
, 0x4
]
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x5d543a95414e7f1091d50792876a202cd91de4547085abaa68a205b2e5a7ddfa628f1cb4d9e82ef21537e293a6691ae1616ec6e786f0c70cf1c38e31c7238e5
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001
{-# INLINABLE _r #-}
_x :: Fq2
_x = toE' [ 0x24aa2b2f08f0a91260805272dc51051c6e47ad4fa403b02b4510b647ae3d1770bac0326a805bbefd48056c8c121bdb8
, 0x13e02b6052719f607dacd3a088274f65596bd0d09920b61ab5da61bbdc7f5049334cf11213945d57e5ac7d055d042b7e
]
{-# INLINABLE _x #-}
_y :: Fq2
_y = toE' [ 0xce5d527727d6e118cc9cdc6da2e351aadfd9baa8cbdd3a76d429a695160d12c923ac9cc3baca289e193548608b82801
, 0x606c4a02ea734cc32acd2b02bc28b99cb3e287e85a763af267492ab572e99ab3f370d275cec1da1aaa9075ff05f79be
]
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gJ :: PJ
gJ = J _x _y 1
{-# INLINABLE gJ #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}