module Curve.Edwards.E222
( module Curve.Edwards
, module Curve.Edwards.E222
, Point(..)
) where
import Protolude
import PrimeField
import Curve.Edwards
data E222
type Fq = PrimeField 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffff8b
type Fr = PrimeField 0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf
instance Curve 'Edwards c E222 Fq Fr => ECurve c E222 Fq Fr where
a_ = const _a
{-# INLINABLE a_ #-}
d_ = const _d
{-# INLINABLE d_ #-}
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 = EAPoint E222 Fq Fr
instance EACurve E222 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = EPPoint E222 Fq Fr
instance EPCurve E222 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x1
{-# INLINABLE _a #-}
_d :: Fq
_d = 0x27166
{-# INLINABLE _d #-}
_h :: Integer
_h = 0x4
{-# INLINABLE _h #-}
_q :: Integer
_q = 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffff8b
{-# INLINABLE _q #-}
_r :: Integer
_r = 0xffffffffffffffffffffffffffff70cbc95e932f802f31423598cbf
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x19b12bb156a389e55c9768c303316d07c23adab3736eb2bc3eb54e51
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x1c
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}