M221.hs

module Curve.Montgomery.M221
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

import Curve.Montgomery (Point(..), MCurve(..), MPoint)

-------------------------------------------------------------------------------
-- Types
-------------------------------------------------------------------------------

-- | M-221 curve
data M221

-- | Field of M-221 curve
type Fp = PrimeField 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffd

-- | M-221 curve is a Montgomery curve
instance MCurve M221 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of M-221 curve
type P = MPoint M221 Fp

-------------------------------------------------------------------------------
-- Parameters
-------------------------------------------------------------------------------

-- | Coefficient @A@ of M-221 curve
_a :: Fp
_a = 0x1c93a
{-# INLINE _a #-}

-- | Coefficient @B@ of M-221 curve
_b :: Fp
_b = 1
{-# INLINE _b #-}

-- | Generator of M-221 curve
_g :: P
_g = A
     4
     0xf7acdd2a4939571d1cef14eca37c228e61dbff10707dc6c08c5056d
{-# INLINE _g #-}

-- | Cofactor of M-221 curve
_h :: Integer
_h = 8
{-# INLINE _h #-}

-- | Order of M-221 curve
_n :: Integer
_n = 0x40000000000000000000000000015a08ed730e8a2f77f005042605b
{-# INLINE _n #-}

-- | Characteristic of M-221 curve
_p :: Integer
_p = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffd
{-# INLINE _p #-}