SECP384R1.hs

module Curve.Weierstrass.SECP384R1
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

import Curve.Weierstrass (Point(..), WCurve(..), WPoint)

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

-- | SECP384R1 curve
data SECP384R1

-- | Field of SECP384R1 curve
type Fp = PrimeField 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff

-- | SECP384R1 curve is a Weierstrass curve
instance WCurve SECP384R1 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECP384R1 curve
type P = WPoint SECP384R1 Fp

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

-- | Coefficient @A@ of SECP384R1 curve
_a :: Fp
_a = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffc
{-# INLINE _a #-}

-- | Coefficient @B@ of SECP384R1 curve
_b :: Fp
_b = 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef
{-# INLINE _b #-}

-- | Generator of SECP384R1 curve
_g :: P
_g = A
     0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7
     0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f
{-# INLINE _g #-}

-- | Cofactor of SECP384R1 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of SECP384R1 curve
_n :: Integer
_n = 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973
{-# INLINE _n #-}

-- | Characteristic of SECP384R1 curve
_p :: Integer
_p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff
{-# INLINE _p #-}