module Data.Curve.Weierstrass.BN254
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.BN254
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data BN254
type Fq = Prime Q
type Q = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47
type Fr = Prime R
type R = 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001
instance Curve 'Weierstrass c BN254 Fq Fr => WCurve c BN254 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 BN254 Fq Fr
instance WACurve BN254 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint BN254 Fq Fr
instance WJCurve BN254 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint BN254 Fq Fr
instance WPCurve BN254 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x0
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x3
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x1
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x30644e72e131a029b85045b68181585d2833e84879b9709143e1f593f0000001
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x1
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x2
{-# 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 #-}