SECP192K1.hs

module Curve.Weierstrass.SECP192K1
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

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

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

-- | SECP192K1 curve
data SECP192K1

-- | Field of SECP192K1 curve
type Fp = PrimeField 0xfffffffffffffffffffffffffffffffffffffffeffffee37

-- | SECP192K1 curve is a Weierstrass curve
instance WCurve SECP192K1 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of SECP192K1 curve
type P = WPoint SECP192K1 Fp

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

-- | Coefficient @A@ of SECP192K1 curve
_a :: Fp
_a = 0
{-# INLINE _a #-}

-- | Coefficient @B@ of SECP192K1 curve
_b :: Fp
_b = 3
{-# INLINE _b #-}

-- | Generator of SECP192K1 curve
_g :: P
_g = A
     0xdb4ff10ec057e9ae26b07d0280b7f4341da5d1b1eae06c7d
     0x9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d
{-# INLINE _g #-}

-- | Cofactor of SECP192K1 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of SECP192K1 curve
_n :: Integer
_n = 0xfffffffffffffffffffffffe26f2fc170f69466a74defd8d
{-# INLINE _n #-}

-- | Characteristic of SECP192K1 curve
_p :: Integer
_p = 0xfffffffffffffffffffffffffffffffffffffffeffffee37
{-# INLINE _p #-}