module Data.Curve.Montgomery.M221
( module Data.Curve.Montgomery
, Point(..)
, module Data.Curve.Montgomery.M221
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Montgomery
data M221
type Fq = Prime Q
type Q = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffd
type Fr = Prime R
type R = 0x40000000000000000000000000015a08ed730e8a2f77f005042605b
instance Curve 'Montgomery c M221 Fq Fr => MCurve c M221 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 M221 Fq Fr
instance MACurve M221 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
_a :: Fq
_a = 0x1c93a
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x1
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x8
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffd
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x40000000000000000000000000015a08ed730e8a2f77f005042605b
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x4
{-# INLINABLE _x #-}
_y :: Fq
_y = 0xf7acdd2a4939571d1cef14eca37c228e61dbff10707dc6c08c5056d
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}