BN256.hs

module Curve.Weierstrass.BN256
  ( Fp
  , P
  , _a
  , _b
  , _g
  , _h
  , _n
  , _p
  ) where

import Protolude

import PrimeField (PrimeField)

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

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

-- | BN256 curve
data BN256

-- | Field of BN256 curve
type Fp = PrimeField 0xfffffffffffcf0cd46e5f25eee71a49f0cdc65fb12980a82d3292ddbaed33013

-- | BN256 curve is a Weierstrass curve
instance WCurve BN256 Fp where
  a_ = const _a
  {-# INLINE a_ #-}
  b_ = const _b
  {-# INLINE b_ #-}
  g_ = _g
  {-# INLINE g_ #-}

-- | Point of BN256 curve
type P = WPoint BN256 Fp

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

-- | Coefficient @A@ of BN256 curve
_a :: Fp
_a = 0
{-# INLINE _a #-}

-- | Coefficient @B@ of BN256 curve
_b :: Fp
_b = 3
{-# INLINE _b #-}

-- | Generator of BN256 curve
_g :: P
_g = A
     1
     2
{-# INLINE _g #-}

-- | Cofactor of BN256 curve
_h :: Integer
_h = 1
{-# INLINE _h #-}

-- | Order of BN256 curve
_n :: Integer
_n = 0xfffffffffffcf0cd46e5f25eee71a49e0cdc65fb1299921af62d536cd10b500d
{-# INLINE _n #-}

-- | Characteristic of BN256 curve
_p :: Integer
_p = 0xfffffffffffcf0cd46e5f25eee71a49f0cdc65fb12980a82d3292ddbaed33013
{-# INLINE _p #-}