module Data.Curve.Edwards.E382
( module Data.Curve.Edwards
, Point(..)
, module Data.Curve.Edwards.E382
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Edwards
data E382
type Fq = Prime Q
type Q = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff97
type Fr = Prime R
type R = 0xfffffffffffffffffffffffffffffffffffffffffffffffd5fb21f21e95eee17c5e69281b102d2773e27e13fd3c9719
instance Curve 'Edwards c E382 Fq Fr => ECurve c E382 Fq Fr where
a_ = const _a
{-# INLINABLE a_ #-}
d_ = const _d
{-# INLINABLE d_ #-}
h_ = const _h
{-# INLINABLE h_ #-}
q_ = const _q
{-# INLINABLE q_ #-}
r_ = const _r
{-# INLINABLE r_ #-}
type PA = EAPoint E382 Fq Fr
instance EACurve E382 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = EPPoint E382 Fq Fr
instance EPCurve E382 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x1
{-# INLINABLE _a #-}
_d :: Fq
_d = 0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef8e1
{-# INLINABLE _d #-}
_h :: Natural
_h = 0x4
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff97
{-# INLINABLE _q #-}
_r :: Natural
_r = 0xfffffffffffffffffffffffffffffffffffffffffffffffd5fb21f21e95eee17c5e69281b102d2773e27e13fd3c9719
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x196f8dd0eab20391e5f05be96e8d20ae68f840032b0b64352923bab85364841193517dbce8105398ebc0cc9470f79603
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x11
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}