module Data.Curve.Weierstrass.SECP192R1
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.SECP192R1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data SECP192R1
type Fq = Prime Q
type Q = 0xfffffffffffffffffffffffffffffffeffffffffffffffff
type Fr = Prime R
type R = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831
instance Curve 'Weierstrass c SECP192R1 Fq Fr => WCurve c SECP192R1 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_ #-}
type PA = WAPoint SECP192R1 Fq Fr
instance WACurve SECP192R1 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint SECP192R1 Fq Fr
instance WJCurve SECP192R1 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint SECP192R1 Fq Fr
instance WPCurve SECP192R1 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0xfffffffffffffffffffffffffffffffefffffffffffffffc
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x1
{-# INLINABLE _h #-}
_q :: Natural
_q = 0xfffffffffffffffffffffffffffffffeffffffffffffffff
{-# INLINABLE _q #-}
_r :: Natural
_r = 0xffffffffffffffffffffffff99def836146bc9b1b4d22831
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x7192b95ffc8da78631011ed6b24cdd573f977a11e794811
{-# 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 #-}