module Data.Curve.Weierstrass.BN512
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.BN512
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data BN512
type Fq = Prime Q
type Q = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef455146cf1eacbe98b8e48c65deab236fe1916a55ce5f4c6467b4eb280922adef33
type Fr = Prime R
type R = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef445146cf1eacbe98b8e48c65deab2679a34a10313e04f9a2b406a64a5f519a09ed
instance Curve 'Weierstrass c BN512 Fq Fr => WCurve c BN512 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 BN512 Fq Fr
instance WACurve BN512 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint BN512 Fq Fr
instance WJCurve BN512 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint BN512 Fq Fr
instance WPCurve BN512 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 = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef455146cf1eacbe98b8e48c65deab236fe1916a55ce5f4c6467b4eb280922adef33
{-# INLINABLE _q #-}
_r :: Natural
_r = 0xfffffffffffffffffffffffffff9ec7f01c60ba1d8cb5307c0bbe3c111b0ef445146cf1eacbe98b8e48c65deab2679a34a10313e04f9a2b406a64a5f519a09ed
{-# 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 #-}