module Data.Curve.Binary.SECT571R1
( module Data.Curve.Binary
, Point(..)
, module Data.Curve.Binary.SECT571R1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Binary
data SECT571R1
type F2m = Binary P
type P = 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
type Fr = Prime R
type R = 0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47
instance Curve 'Binary c SECT571R1 F2m Fr => BCurve c SECT571R1 F2m Fr where
a_ = const _a
{-# INLINABLE a_ #-}
b_ = const _b
{-# INLINABLE b_ #-}
h_ = const _h
{-# INLINABLE h_ #-}
p_ = const _p
{-# INLINABLE p_ #-}
r_ = const _r
{-# INLINABLE r_ #-}
type PA = BAPoint SECT571R1 F2m Fr
instance BACurve SECT571R1 F2m Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PP = BPPoint SECT571R1 F2m Fr
instance BPCurve SECT571R1 F2m Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: F2m
_a = 0x1
{-# INLINABLE _a #-}
_b :: F2m
_b = 0x2f40e7e2221f295de297117b7f3d62f5c6a97ffcb8ceff1cd6ba8ce4a9a18ad84ffabbd8efa59332be7ad6756a66e294afd185a78ff12aa520e4de739baca0c7ffeff7f2955727a
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x2
{-# INLINABLE _h #-}
_p :: Natural
_p = 0x80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425
{-# INLINABLE _p #-}
_r :: Natural
_r = 0x3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe661ce18ff55987308059b186823851ec7dd9ca1161de93d5174d66e8382e9bb2fe84e47
{-# INLINABLE _r #-}
_x :: F2m
_x = 0x303001d34b856296c16c0d40d3cd7750a93d1d2955fa80aa5f40fc8db7b2abdbde53950f4c0d293cdd711a35b67fb1499ae60038614f1394abfa3b4c850d927e1e7769c8eec2d19
{-# INLINABLE _x #-}
_y :: F2m
_y = 0x37bf27342da639b6dccfffeb73d69d78c6c27a6009cbbca1980f8533921e8a684423e43bab08a576291af8f461bb2a8b3531d2f0485c19b16e2f1516e23dd3c1a4827af1b8ac15b
{-# INLINABLE _y #-}
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}