module Data.Curve.Weierstrass.BLS12381
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.BLS12381
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data BLS12381
type Fq = Prime Q
type Q = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
type Fr = Prime R
type R = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001
instance Curve 'Weierstrass c BLS12381 Fq Fr => WCurve c BLS12381 Fq 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 Fq Fr
instance WACurve BLS12381 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint BLS12381 Fq Fr
instance WJCurve BLS12381 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint BLS12381 Fq Fr
instance WPCurve BLS12381 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x0
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x4
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x396c8c005555e1568c00aaab0000aaab
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x1a0111ea397fe69a4b1ba7b6434bacd764774b84f38512bf6730d2a0f6b0f6241eabfffeb153ffffb9feffffffffaaab
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x73eda753299d7d483339d80809a1d80553bda402fffe5bfeffffffff00000001
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x17f1d3a73197d7942695638c4fa9ac0fc3688c4f9774b905a14e3a3f171bac586c55e83ff97a1aeffb3af00adb22c6bb
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x8b3f481e3aaa0f1a09e30ed741d8ae4fcf5e095d5d00af600db18cb2c04b3edd03cc744a2888ae40caa232946c5e7e1
{-# 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 #-}