module Curve.Edwards.E521
( module Curve.Edwards
, module Curve.Edwards.E521
, Point(..)
) where
import Protolude
import PrimeField
import Curve.Edwards
data E521
type Fq = PrimeField 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
type Fr = PrimeField 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b
instance Curve 'Edwards c E521 Fq Fr => ECurve c E521 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 E521 Fq Fr
instance EACurve E521 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = EPPoint E521 Fq Fr
instance EPCurve E521 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x1
{-# INLINABLE _a #-}
_d :: Fq
_d = 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa4331
{-# INLINABLE _d #-}
_h :: Integer
_h = 0x4
{-# INLINABLE _h #-}
_q :: Integer
_q = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
{-# INLINABLE _q #-}
_r :: Integer
_r = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd15b6c64746fc85f736b8af5e7ec53f04fbd8c4569a8f1f4540ea2435f5180d6b
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x752cb45c48648b189df90cb2296b2878a3bfd9f42fc6c818ec8bf3c9c0c6203913f6ecc5ccc72434b1ae949d568fc99c6059d0fb13364838aa302a940a2f19ba6c
{-# INLINABLE _x #-}
_y :: Fq
_y = 0xc
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}