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M383.hs
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M383.hs
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module Data.Curve.Montgomery.M383
( module Data.Curve.Montgomery
, Point(..)
-- * M383 curve
, module Data.Curve.Montgomery.M383
) where
import Protolude
import Data.Field.Galois
import GHC.Natural (Natural)
import Data.Curve.Montgomery
-------------------------------------------------------------------------------
-- Types
-------------------------------------------------------------------------------
-- | M383 curve.
data M383
-- | Field of points of M383 curve.
type Fq = Prime Q
type Q = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45
-- | Field of coefficients of M383 curve.
type Fr = Prime R
type R = 0x10000000000000000000000000000000000000000000000006c79673ac36ba6e7a32576f7b1b249e46bbc225be9071d7
-- M383 curve is a Montgomery curve.
instance Curve 'Montgomery c M383 Fq Fr => MCurve c M383 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 M383 curve point.
type PA = MAPoint M383 Fq Fr
-- Affine M383 curve is a Montgomery affine curve.
instance MACurve M383 Fq Fr where
gA_ = gA
{-# INLINABLE gA_ #-}
-------------------------------------------------------------------------------
-- Parameters
-------------------------------------------------------------------------------
-- | Coefficient @A@ of M383 curve.
_a :: Fq
_a = 0x1f82fe
{-# INLINABLE _a #-}
-- | Coefficient @B@ of M383 curve.
_b :: Fq
_b = 0x1
{-# INLINABLE _b #-}
-- | Cofactor of M383 curve.
_h :: Natural
_h = 0x8
{-# INLINABLE _h #-}
-- | Characteristic of M383 curve.
_q :: Natural
_q = 0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff45
{-# INLINABLE _q #-}
-- | Order of M383 curve.
_r :: Natural
_r = 0x10000000000000000000000000000000000000000000000006c79673ac36ba6e7a32576f7b1b249e46bbc225be9071d7
{-# INLINABLE _r #-}
-- | Coordinate @X@ of M383 curve.
_x :: Fq
_x = 0xc
{-# INLINABLE _x #-}
-- | Coordinate @Y@ of M383 curve.
_y :: Fq
_y = 0x1ec7ed04aaf834af310e304b2da0f328e7c165f0e8988abd3992861290f617aa1f1b2e7d0b6e332e969991b62555e77e
{-# INLINABLE _y #-}
-- | Generator of affine M383 curve.
gA :: PA
gA = A _x _y
{-# INLINABLE gA #-}