module Data.Curve.Weierstrass.SECP521R1
( module Data.Curve.Weierstrass
, Point(..)
, module Data.Curve.Weierstrass.SECP521R1
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
data SECP521R1
type Fq = Prime Q
type Q = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
type Fr = Prime R
type R = 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409
instance Curve 'Weierstrass c SECP521R1 Fq Fr => WCurve c SECP521R1 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 SECP521R1 Fq Fr
instance WACurve SECP521R1 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
type PJ = WJPoint SECP521R1 Fq Fr
instance WJCurve SECP521R1 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
type PP = WPPoint SECP521R1 Fq Fr
instance WPCurve SECP521R1 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
_a :: Fq
_a = 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc
{-# INLINABLE _a #-}
_b :: Fq
_b = 0x51953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00
{-# INLINABLE _b #-}
_h :: Natural
_h = 0x1
{-# INLINABLE _h #-}
_q :: Natural
_q = 0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
{-# INLINABLE _q #-}
_r :: Natural
_r = 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409
{-# INLINABLE _r #-}
_x :: Fq
_x = 0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66
{-# INLINABLE _x #-}
_y :: Fq
_y = 0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650
{-# 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 #-}