module Data.Curve.Montgomery.Curve25519
( module Data.Curve.Montgomery
, Point(..)
, module Data.Curve.Montgomery.Curve25519
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Montgomery
data Curve25519
type Fq = Prime Q
type Q = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed
type Fr = Prime R
type R = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
instance Curve 'Montgomery c Curve25519 Fq Fr => MCurve c Curve25519 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 Curve25519 Fq Fr
instance MACurve Curve25519 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
_a :: Fq
_a = 0x76d06
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x1
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x8
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffed
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x9
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x20ae19a1b8a086b4e01edd2c7748d14c923d4d7e6d7c61b229e9c5a27eced3d9
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}