module Curve.Weierstrass.SECP256K1
( module Curve.Weierstrass
, module Curve.Weierstrass.SECP256K1
, Point(..)
) where
import Protolude
import PrimeField
import Curve.Weierstrass
data SECP256K1
type Fq = PrimeField 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f
type Fr = PrimeField 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
instance Curve 'Weierstrass c SECP256K1 Fq Fr => WCurve c SECP256K1 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_ #-}
x_ = const _x
{-# INLINABLE x_ #-}
y_ = const _y
{-# INLINABLE y_ #-}
type PA = WAPoint SECP256K1 Fq Fr
instance WACurve SECP256K1 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint SECP256K1 Fq Fr
instance WJCurve SECP256K1 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint SECP256K1 Fq Fr
instance WPCurve SECP256K1 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x0
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x7
{-# INLINABLE _b #-}
_h :: Integer
_h = 0x1
{-# INLINABLE _h #-}
_q :: Integer
_q = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f
{-# INLINABLE _q #-}
_r :: Integer
_r = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gJ :: PJ
gJ = J _x _y 1
{-# INLINABLE gJ #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}