module Data.Curve.Montgomery.Curve448
( module Data.Curve.Montgomery
, Point(..)
, module Data.Curve.Montgomery.Curve448
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Montgomery
data Curve448
type Fq = Prime Q
type Q = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff
type Fr = Prime R
type R = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3
instance Curve 'Montgomery c Curve448 Fq Fr => MCurve c Curve448 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 = MAPoint Curve448 Fq Fr
instance MACurve Curve448 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
_a :: Fq
_a = 0x262a6
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x1
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x4
{-# INLINABLE _h #-}
_q :: Natural
_q = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffff7cca23e9c44edb49aed63690216cc2728dc58f552378c292ab5844f3
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x5
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x7d235d1295f5b1f66c98ab6e58326fcecbae5d34f55545d060f75dc28df3f6edb8027e2346430d211312c4b150677af76fd7223d457b5b1a
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}