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BN462.hs
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BN462.hs
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module Data.Curve.Weierstrass.BN462
( module Data.Curve.Weierstrass
, Point(..)
-- * BN462 curve
, module Data.Curve.Weierstrass.BN462
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Weierstrass
-------------------------------------------------------------------------------
-- Types
-------------------------------------------------------------------------------
-- | BN462 curve.
data BN462
-- | Field of points of BN462 curve.
type Fq = Prime Q
type Q = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908f41c8020ffffffffff6ff66fc6ff687f640000000002401b00840138013
-- | Field of coefficients of BN462 curve.
type Fr = Prime R
type R = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908ee1c201f7fffffffff6ff66fc7bf717f7c0000000002401b007e010800d
-- BN462 curve is a Weierstrass curve.
instance Curve 'Weierstrass c BN462 Fq Fr => WCurve c BN462 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_ #-}
-- | Affine BN462 curve point.
type PA = WAPoint BN462 Fq Fr
-- Affine BN462 curve is a Weierstrass affine curve.
instance WACurve BN462 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
-- | Jacobian BN462 point.
type PJ = WJPoint BN462 Fq Fr
-- Jacobian BN462 curve is a Weierstrass Jacobian curve.
instance WJCurve BN462 Fq Fr where
gJ_ = gJ
{-# INLINABLE gJ_ #-}
-- | Projective BN462 point.
type PP = WPPoint BN462 Fq Fr
-- Projective BN462 curve is a Weierstrass projective curve.
instance WPCurve BN462 Fq Fr where
gP_ = gP
{-# INLINABLE gP_ #-}
-------------------------------------------------------------------------------
-- Parameters
-------------------------------------------------------------------------------
-- | Coefficient @A@ of BN462 curve.
_a :: Fq
_a = 0x0
{-# INLINABLE _a #-}
-- | Coefficient @B@ of BN462 curve.
_b :: Fq
_b = 0x5
{-# INLINABLE _b #-}
-- | Cofactor of BN462 curve.
_h :: Natural
_h = 0x1
{-# INLINABLE _h #-}
-- | Characteristic of BN462 curve.
_q :: Natural
_q = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908f41c8020ffffffffff6ff66fc6ff687f640000000002401b00840138013
{-# INLINABLE _q #-}
-- | Order of BN462 curve.
_r :: Natural
_r = 0x240480360120023ffffffffff6ff0cf6b7d9bfca0000000000d812908ee1c201f7fffffffff6ff66fc7bf717f7c0000000002401b007e010800d
{-# INLINABLE _r #-}
-- | Coordinate @X@ of BN462 curve.
_x :: Fq
_x = 0x21a6d67ef250191fadba34a0a30160b9ac9264b6f95f63b3edbec3cf4b2e689db1bbb4e69a416a0b1e79239c0372e5cd70113c98d91f36b6980d
{-# INLINABLE _x #-}
-- | Coordinate @Y@ of BN462 curve.
_y :: Fq
_y = 0x118ea0460f7f7abb82b33676a7432a490eeda842cccfa7d788c659650426e6af77df11b8ae40eb80f475432c66600622ecaa8a5734d36fb03de
{-# INLINABLE _y #-}
-- | Generator of affine BN462 curve.
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}
-- | Generator of Jacobian BN462 curve.
gJ :: PJ
gJ = J _x _y 1
{-# INLINABLE gJ #-}
-- | Generator of projective BN462 curve.
gP :: PP
gP = P _x _y 1
{-# INLINABLE gP #-}