module Data.Curve.Weierstrass.BrainpoolP256R1
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.BrainpoolP256R1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data BrainpoolP256R1
type Fq = Prime Q
type Q = 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377
type Fr = Prime R
type R = 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7
instance Curve 'Weierstrass c BrainpoolP256R1 Fq Fr => WCurve c BrainpoolP256R1 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 BrainpoolP256R1 Fq Fr
instance WACurve BrainpoolP256R1 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint BrainpoolP256R1 Fq Fr
instance WJCurve BrainpoolP256R1 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint BrainpoolP256R1 Fq Fr
instance WPCurve BrainpoolP256R1 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x7d5a0975fc2c3057eef67530417affe7fb8055c126dc5c6ce94a4b44f330b5d9
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x26dc5c6ce94a4b44f330b5d9bbd77cbf958416295cf7e1ce6bccdc18ff8c07b6
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x1
{-# INLINABLE _h #-}
_q :: Natural
_q = 0xa9fb57dba1eea9bc3e660a909d838d726e3bf623d52620282013481d1f6e5377
{-# INLINABLE _q #-}
_r :: Natural
_r = 0xa9fb57dba1eea9bc3e660a909d838d718c397aa3b561a6f7901e0e82974856a7
{-# INLINABLE _r #-}
_x :: Fq
_x = 0x8bd2aeb9cb7e57cb2c4b482ffc81b7afb9de27e1e3bd23c23a4453bd9ace3262
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x547ef835c3dac4fd97f8461a14611dc9c27745132ded8e545c1d54c72f046997
{-# 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 #-}